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, 3495, 2214, 11, 274, 10431, 538, 6, 4246, 10, 33215, 16739, 9, 230, 10431, 406, 6, 274, 10431, 119, 1176, 406, 6, 12608, 119, 6, 8, 2060, 406, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 15352, 30054, 15229, 7630, 6568, 6453, 9, 657, 8, 11926, 6, 442, 24, 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 ]	[ 54458, 50956, 53486, 50415, 51086, 53055, 50425, 50989, 53693, 50298, 58576, 50433, 51001, 54071, 50435, 51324, 78198, 50441, 50989, 58961, 51378, 52462, 50447, 51040, 51797, 50997, 62892, 50989, 51365, 50454, 51378, 51851, 50461, 50916, 51542, 51040, 52025, 55753, 50989, 51824, 50422, 51378, 51851, 50429, 51324, 57912, 50968, 51824, 50436, 50989, 52167, 50437, 51378, 52101, 50443, 50956, 52397, 50444, 51086, 55789, 50452, 50989, 54088, 51378, 52462, 50459, 51086, 50995, 50460, 51176, 60243, 52591, 50989, 56393, 50298, 54060, 50427, 50973, 59821, 50428, 51324, 70316, 50436, 51378, 52101, 50989, 51319, 50442, 51086, 52081, 50300, 51252, 50448, 51040, 52441, 50449, 50997, 52188, 50459, 50989, 55197, 51378, 54618, 53069, 50956, 53577, 64401, 59170, 50428, 50989, 54298, 51378, 52101, 50435, 51001, 55584, 50436, 51324, 52514, 50446, 51378, 50361, 50842, 50310, 58961, 51809, 51378, 50360, 50842, 50310, 53306, 50429, 50989, 51148, 50956, 64399, 50438, 50973, 58961, 51378, 52101, 50445, 51324, 61124, 51114, 51387, 50452, 51378, 51252, 50453, 50973, 67084, 51040, 52048, 50916, 51242, 52478, 51378, 54731, 50315, 51862, 50424, 50965, 51480, 50425, 50916, 70402, 51378, 51269, 50973, 70456, 51324, 54861, 50439, 51147, 51470, 50445, 50973, 52179, 50446, 51378, 55789, 50451, 50989, 51199, 50452, 50956, 54298, 50459, 50973, 52946, 50460, 51378, 51319, 53069, 51086, 57410, 51176, 54228, 50428, 51378, 77429, 50310, 53726, 50435, 51324, 59294, 50315, 51697, 50442, 51378, 51832, 50989, 51297, 50446, 51086, 52059, 51176, 52946, 50454, 51040, 53697, 50997, 51852, 51601, 50989, 52731, 50416, 51378, 52101, 50423, 50956, 55036, 50303, 52618, 50431, 51378, 51550, 50989, 54848, 50439, 51001, 68886, 51324, 53313, 50449, 50989, 61887, 50450, 51378, 63070, 52591, 51378, 59641, 50421, 50989, 69066, 50436, 50956, 54211, 50437, 50900, 54344, 50446, 50989, 58483, 50454, 51503, 55583, 50319, 55811, 50461, 51176, 51252, 50989, 51252, 53069, 50989, 52015, 50956, 52147, 79351, 51524, 50428, 51176, 52101, 50436, 51114, 52511, 50293, 52988, 50443, 50965, 51824, 50445, 51176, 52946, 50449, 50916, 51423, 50450, 51040, 53726, 50456, 50965, 51432, 50457, 51050, 60150, 51601, 50956, 52188, 50416, 51086, 52048, 50422, 50965, 52518, 50425, 51176, 54060, 50429, 51040, 51679, 50997, 51412, 50436, 50989, 52518, 50437, 51378, 51851, 50442, 51028, 52059, 51966, 60145, 51378, 51123, 50989, 52482, 50455, 50916, 51397, 51040, 52136, 50461, 50989, 51884, 59130, 51737, 50421, 50968, 52104, 50291, 54573, 50427, 50989, 51051, 50428, 51378, 70301, 50956, 52378, 50435, 51086, 51484, 50441, 50989, 52482, 51378, 52731, 50446, 51040, 51363, 79043, 51101, 50453, 51197, 65691, 50311, 52063, 50458, 51176, 53280, 51086, 51562, 52177, 50965, 52518, 50418, 51197, 52167, 50424, 51503, 63684, 50315, 53726, 50430, 50965, 53535, 50295, 51851, 50436, 51040, 51627, 50437, 51086, 53161, 50444, 50965, 53161, 51360, 53313, 50451, 51028, 54848, 50452, 51247, 54071, 50458, 51360, 53529, 50312, 51022, 51809, 51040, 51645, 50997, 54252, 51966, 53529, 50310, 52518, 50428, 50956, 52188, 51027, 51309, 50435, 51085, 51022, 51001, 70546, 51040, 51627, 50997, 51381, 50448, 51378, 63684, 50310, 51387, 50454, 51028, 51884, 50455, 51360, 54071, 50461, 50989, 52518, 51378, 51832, 53069, 51086, 52454, 50300, 56374, 53645, 54298, 51360, 51297, 50433, 51028, 72324, 51966, 54861, 50441, 50871, 53161, 51360, 55778, 50449, 51378, 60243, 50997, 51309, 50457, 50989, 56615, 50458, 51360, 55778, 53069, 51028, 59821, 50420, 51966, 51832, 50430, 50989, 52179, 50446, 50956, 51965, 50447, 51086, 59170, 50457, 51378, 54146, 50989, 55584, 52478, 51001, 58961, 51324, 63309, 50426, 51378, 63684, 50310, 54848, 50433, 51040, 51738, 50997, 51645, 50441, 50989, 53726, 50442, 51378, 51252, 50448, 50916, 51477, 51040, 54228, 50456, 50989, 51079, 50457, 51378, 51832, 51809, 50968, 71713, 51324, 55776, 50423, 50989, 51142, 50424, 51378, 51252, 50429, 50956, 51709, 50430, 51086, 52518, 50437, 50989, 55505, 50298, 52946, 50445, 51086, 51911, 50300, 54228, 50453, 50989, 53096, 51378, 52101, 50461, 51324, 61017, 50973, 55584, 56020, 51378, 54088, 50427, 51086, 52482, 51176, 51832, 50434, 51040, 54211, 50435, 50997, 51852, 50446, 50989, 54521, 51378, 55811, 50454, 50956, 53055, 50455, 51086, 56374, 51601, 50989, 54298, 50416, 51378, 54887, 50424, 51001, 58898, 51324, 60326, 50433, 50989, 61450, 50434, 51378, 65988, 50448, 50989, 77137, 51378, 52101, 50456, 50989, 51148, 50457, 50956, 54861, 52177, 51378, 65691, 50315, 58961, 50424, 51114, 54298, 50425, 51324, 62609, 50431, 50973, 52946, 50432, 51378, 54071, 59419, 51212, 51040, 54836, 50445, 50973, 52179, 50446, 51378, 51319, 50451, 50965, 51312, 50452, 50916, 51797, 50459, 50973, 54298, 51378, 51252, 52478, 51324, 54298, 51147, 58069, 51378, 53693, 50315, 51432, 50431, 50989, 51309, 64551, 52731, 50438, 50973, 51252, 50439, 51378, 51269, 50445, 51086, 51003, 50446, 51176, 52397, 50453, 51378, 53693, 50310, 52034, 50460, 51324, 60237, 50461, 50973, 53161, 52591, 51378, 52946, 50989, 52192, 50425, 51086, 57104, 51176, 60816, 51040, 77804, 52034, 50442, 50989, 53010, 51378, 54887, 62291, 52503, 51086, 53678, 50459, 50989, 52167, 51378, 51550, 52478, 51001, 61450, 50419, 51324, 58961, 50428, 50989, 63532, 51378, 54691, 50445, 50989, 51737, 50446, 51378, 55811, 50454, 50956, 51965, 50455, 50900, 52011, 52177, 50989, 54848, 50418, 51176, 51319, 50425, 51001, 55789, 51503, 57959, 51176, 51524, 50989, 51123, 50439, 50989, 51183, 50956, 52407, 50446, 50965, 51210, 50447, 51176, 55811, 50453, 51114, 51884, 51360, 53866, 50460, 50965, 51365, 50461, 51176, 54298, 52478, 50916, 51203, 50419, 51040, 53096, 50425, 50965, 65933, 51176, 52518, 50431, 50956, 51709, 51086, 51419, 50438, 50965, 51254, 50439, 51050, 51550, 50446, 51040, 51878, 79043, 51400, 50455, 50989, 51884, 50456, 51378, 51128, 62368, 52386, 50317, 52482, 69724, 51210, 50421, 51378, 51022, 50428, 50916, 51183, 51040, 51447, 50435, 50989, 51852, 50436, 51378, 54848, 50444, 50968, 51277, 51324, 55086, 50452, 50989, 53131, 50298, 51319, 50457, 50956, 51576, 50458, 51086, 52188, 52177, 50989, 52482, 50418, 51378, 52167, 50422, 51040, 51775, 50423, 50997, 51079, 79580, 51884, 51197, 52101, 50436, 51086, 51397, 51176, 56458, 50444, 51197, 53693, 50312, 52059, 50450, 51503, 53535, 50315, 52482, 50457, 50965, 51051, 51197, 51297, 51601, 51040, 51244, 50416, 51086, 51534, 50423, 50965, 51852, 50424, 51360, 51432, 50431, 51028, 53164, 50285, 54298, 50439, 51360, 52179, 50965, 51797, 68473, 52363, 50305, 51484, 50453, 50989, 51797, 50454, 51966, 62065, 50956, 51330, 50460, 51027, 51380, 52478, 51001, 51470, 50419, 51085, 52782, 61104, 51627, 50997, 51108, 50433, 50989, 51074, 50434, 51378, 52782, 50440, 51028, 52063, 51360, 52731, 50446, 51378, 65434, 50989, 51824, 50453, 51086, 52015, 51176, 52440, 50460, 51360, 53726, 50871, 53161, 55753, 51028, 54298, 50422, 51966, 55765, 50429, 51360, 53313, 74413, 53313, 62335, 51797, 51378, 63667, 50446, 50989, 54521, 51360, 53313, 50454, 51028, 74553, 50455, 51966, 51832, 52478, 50989, 69470, 50968, 51422, 52759, 57912, 50436, 51360, 53801, 51028, 55812, 50445, 50965, 53010, 50453, 50916, 52179, 50459, 61294, 52177, 51197 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 2933, 8, 980, 219, 5466, 6, 4246, 10, 6755, 12547, 6, 81, 9756, 8669, 6, 13305, 6, 8, 38668, 3038, 4, 20, 2125, 16, 11, 272, 3694, 6, 34, 10, 7212, 20889, 9, 727, 741, 1685, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 12608, 6, 163, 428, 6, 2060, 73, 717, 428, 6, 12608, 6, 8, 163, 428, 401, 3639, 7, 5, 2214, 18, 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 ]	[ 57528, 50450, 52696, 53379, 50796, 50443, 52696, 52254, 53400, 51717, 51733, 52337, 54398, 51801, 54318, 52121, 58407, 52337, 50752, 50308, 52829, 50752, 50311, 52337, 50752, 50315, 52829, 50799, 69575, 50917, 77032, 50917, 50417, 62527, 50904, 65387, 55772, 64495, 51000, 66652, 63521, 66076, 51432, 70778, 51432, 50429, 80215, 51212, 50743, 50327, 51212, 50435, 69575, 51277, 77032, 51277, 50441, 62527, 51128, 65387, 62232, 80215, 50959, 50743, 50327, 76791, 66076, 50972, 70778, 62892, 64495, 52378, 66652, 52378, 50799, 69575, 50925, 56326, 52222, 77032, 50925, 50417, 62527, 50904, 65387, 55772, 64495, 50907, 66652, 56237, 66076, 51079, 70778, 72373, 80215, 51212, 50743, 50327, 51212, 50435, 69575, 50845, 77032, 62532, 62527, 50864, 65387, 54394, 80215, 50874, 50743, 50327, 57904, 66076, 51074, 70778, 56989, 50752, 50308, 58643, 50752, 50311, 55482, 50752, 50315, 58643, 50453, 64495, 51576, 66652, 51576, 50456, 60588, 51328, 50799, 69575, 50854, 74706, 52151, 77032, 60685, 62527, 50907, 65387, 54964, 64495, 50886, 66652, 56037, 66076, 51074, 70778, 74448, 80215, 51277, 50743, 50327, 51277, 50435, 69575, 50845, 77032, 62532, 62527, 50941, 65387, 55434, 80215, 51008, 50743, 50327, 76173, 66076, 50972, 70778, 62892, 64495, 51852, 60060, 50878, 66652, 51852, 50457, 56326, 50892, 50799, 69575, 50878, 77032, 50878, 50415, 50725, 50339, 51422, 50417, 62527, 50907, 65387, 54964, 64495, 51022, 66652, 58910, 66076, 51432, 70778, 51432, 50429, 80215, 52063, 50743, 50327, 52063, 50435, 69575, 51637, 77032, 51637, 50438, 51456, 70988, 51553, 58040, 51456, 54840, 51224, 56518, 51326, 52725, 50927, 50943, 52089, 50915, 52123, 53651, 51224, 50385, 53823, 50809, 50752, 50310, 52441, 50752, 50306, 51108, 50752, 50313, 51333, 51323, 51048, 51409, 50807, 51823, 51112, 51478, 51048, 50453, 51224, 53875, 51326, 54625, 51289, 50809, 56142, 51191, 51107, 51293, 51854, 51358, 54308, 51677, 51335, 51135, 52259, 50890, 51478, 51692, 51263, 51518, 51188, 51422, 51746, 51692, 51245, 51692, 51402, 50864, 51039, 50862, 51510, 50864, 51694, 55316, 50836, 51532, 53998, 51443, 53351, 52217, 73746, 54728, 51443, 56001, 52675, 50855, 51572, 64524, 52294, 50865, 51180, 60886, 51622, 50917, 51618, 53996, 53344, 51003, 51854, 51121, 52089, 51391, 50816, 52217, 50855, 51969, 50914, 51323, 50915, 51823, 51411, 51478, 51312, 51647, 55735, 51288, 52972, 57328, 57023, 51211, 65110, 50813, 53400, 51191, 51266, 51353, 61558, 50857, 51580, 51486, 50415, 51854, 50859, 52041, 51662, 51555, 51592, 51404, 51692, 51245, 51422, 51746, 51662, 50417, 51288, 53330, 55650, 51211, 51623, 52385, 51510, 50904, 51694, 52675, 50855, 51532, 55487, 51019, 54200, 52217, 50813, 51556, 51126, 56903, 56001, 51421, 50862, 51572, 50886, 51180, 50857, 51618, 54939, 50927, 50914, 52089, 51097, 52123, 53233, 76538, 50809, 51409, 50943, 51823, 51411, 51323, 50981, 51478, 51411, 51647, 62564, 51854, 50865, 53462, 57328, 66660, 51622, 57814, 50852, 50862, 56142, 51091, 51107, 51151, 51622, 51896, 54308, 51662, 50791, 52259, 50890, 51245, 51486, 51263, 51538, 51478, 51692, 51746, 51662, 51402, 50864, 51039, 50862, 51510, 50864, 51694, 55316, 50836, 51532, 53998, 51443, 53630, 52217, 73746, 54728, 51443, 56001, 52675, 50855, 51572, 64524, 52294, 50865, 51180, 60886, 52375, 50865, 51618, 53996, 53344, 50943, 54338, 51121, 52089, 66772, 52217, 50855, 78612, 51323, 50915, 51823, 51363, 51478, 51312, 51647, 64461, 52874, 50925, 53462, 57328, 57023, 52375, 59553, 50813, 53400, 51204, 51266, 51422, 52041, 51662, 61558, 50857, 51746, 51422, 51580, 51161, 51404, 51692, 51245, 51518, 50415, 54338, 50865, 51555, 51677, 50417, 52874, 55690, 55650, 52375, 50889, 52385, 51510, 50904, 51694, 52675, 50855, 51532, 55487, 51019, 50862, 55652, 51896, 66936, 50813, 51556, 51126, 56903, 56001, 51421, 50862, 51572, 54758, 51456, 50930, 51715, 54936, 50880, 51618, 54939, 67361, 51107, 53753, 52089, 51330, 52123, 53588, 51230, 53823, 56409, 50809, 51323, 51003, 51823, 51255, 51409, 74493, 51043, 50453, 51224, 50840, 52470, 50456, 51326, 51421, 57023, 51289, 55206, 50862, 54206, 54834, 50861, 53520, 51026, 56300, 50973, 54153, 51443, 51091, 52174, 50890, 54308, 53486, 50798, 52633, 50384, 53692, 50840, 51746, 55277, 51245, 55428, 51188, 55277, 51263, 55277, 50417, 52174, 54996, 54202, 52174, 52873, 53467, 52174, 57158, 54317, 52174, 53988, 51421, 56338, 52174, 54996, 53998, 51443, 50841, 52174, 52923, 51559, 56788, 52174, 54845, 55108, 51443, 51446, 52174, 52259, 52873, 57108, 52174, 54845, 54758, 52174, 51559, 56112, 52174, 54796, 54105, 53079, 54593, 52304, 54139, 55013, 54796, 50886, 51453, 60135, 55013, 51538, 60506, 50809, 56142, 51204, 51718, 50990, 57780, 52792, 65316, 58333, 54932, 53065, 56076, 54932, 51376, 50843, 50904, 51544, 52467, 58967, 52792, 56661, 53998, 51443, 50840, 54932, 50864, 51441, 50990, 54350, 54932, 52407, 50843, 53980, 51443, 51141, 51782, 50990, 50862, 54268, 75639, 57012, 50843, 54185, 50861, 51235, 51026, 51345, 50916, 69797, 56946, 52207, 54139, 50843, 55293, 50964, 52873, 56132, 54387, 55702, 50840, 55331, 51359, 50861, 51264, 51026, 51264, 51220, 52337, 51443, 51191, 52174, 53690, 52633, 58767, 52174, 53800, 54202, 52174, 51559, 53467, 52174, 55250, 54317, 52174, 50840, 51782, 51071, 54056, 52174, 54996, 53998, 51443, 50840, 52174, 53618, 51559, 56788, 52174, 53846, 55108, 51443, 51077, 52174, 50836, 51782, 50990, 59397, 52174, 53434, 54758, 52174, 51467, 56112, 52174, 59301, 54105, 53079, 53661, 52304, 54139, 55013, 69319, 50886, 51453, 56132, 53079, 51111, 74502, 54852, 51933, 50876, 51945, 50968, 51605, 51027, 51655, 51069, 67400, 51559, 59196, 52174, 65316, 58333, 52751, 51675, 50791, 56076, 50843, 50904, 51544, 52467, 50890, 53764, 53998, 51069, 52259, 51559, 56788, 50843, 53980, 51069, 51204, 51782, 50990, 50862, 54268, 75639, 57012, 50843, 50867, 52320, 52467, 59994, 50916, 52154, 55293, 57002, 51069, 51582, 56132, 50973, 50952, 50964, 56768, 50840, 54960, 51591, 50877, 51538, 50916, 51518, 51027, 51307, 51069, 51191, 53079, 51421, 53690, 66802, 53079, 53800, 54202, 53079, 52873, 53467, 53079, 54996, 54317, 53079, 50855, 51782, 51071, 54056, 53079, 54996, 53998, 51069, 50836, 53079, 53303, 51559, 56788, 53079, 56129, 55108, 51069, 51077, 53079, 53630, 52873, 57108, 53079, 53846, 54758, 53079, 51467, 56112, 53079, 54845, 54105, 50877, 50991, 50876, 51377, 50968, 50889, 55013, 56776, 52304, 54139, 53512, 63342, 50886, 51453, 56132, 53512, 51894, 74502, 53975, 51264, 50916, 51353, 50861, 51655, 50876, 51307, 50964, 58747, 51559, 50862, 53440, 51000, 51039, 56076, 50843, 50904, 51544, 52467, 50890, 53764, 53998, 50964, 50836, 51441, 50990, 54350, 50843, 53980, 50964, 62288, 53340, 50840, 54268, 75639, 57012, 50843, 50867, 51382, 52207, 54139, 50843, 55293, 51443, 51582, 56132, 51019, 55702, 50840, 54206, 51264, 50989, 51264, 51120, 51353, 50877, 51307, 50927, 51204, 53079, 53579, 51559, 59196, 53079, 54119, 58333, 53079, 51467, 56076, 53079, 53434, 54317, 53079, 53111, 52467, 58967, 53079, 53434, 53998, 50927, 50862, 53079, 53835, 51559, 56788, 52174, 56613, 50886, 53758, 51077, 53079, 51406, 52411, 58037, 53079, 53833, 54394, 53079, 53330, 57012, 52174, 65316, 54185, 50902, 51013, 54133, 74741 ]
[ 0, 250, 20902, 3495, 13305, 2125, 11, 272, 3694, 6, 42, 765, 2214, 1931, 21683, 11098, 8, 1007, 4, 590, 10, 27841, 139, 20889, 8, 10, 316, 73, 398, 86, 6543, 6, 5, 33301, 25780, 81, 10, 19983, 33215, 16739, 9, 272, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 53261, 50646, 51085, 51422, 50916, 52121, 50451, 51085, 51312, 50463, 51214, 51312, 50474, 51085, 50981, 50486, 51085, 51677, 50522, 51085, 51312, 50534, 51214, 51312, 50546, 51085, 51312, 53261, 51197, 51422, 50871, 52121, 50451, 51197, 51312, 50463, 51234, 51312, 50474, 51197, 50981, 50486, 51197, 51677, 50522, 51197, 51312, 50534, 51234, 51312, 50546, 51197, 51312, 53261, 51085, 51422, 50916, 52121, 50451, 51085, 51312, 50463, 51214, 51312, 50474, 51085, 50981, 50486, 51085, 51677, 50522, 51085, 51312, 50534, 51214, 51312, 50546, 51085, 51312, 53261, 51197, 51422, 50871, 52121, 50451, 51197, 51312, 50463, 51234, 51312, 50474, 51197, 50981, 50486, 51197, 51677, 50522, 51197, 51312, 50534, 51234, 51312, 50546, 51197, 51312, 53261, 51085, 51422, 50916, 52644, 50876, 52121, 50451, 51085, 51312, 50463, 50900, 51312, 50474, 51026, 51312, 50486, 51085, 51677, 50861, 53082, 50522, 51085, 51312, 50534, 51026, 51312, 50546, 51085, 51312, 53261, 51197, 51422, 50871, 52644, 51001, 52644, 50451, 51197, 51312, 50463, 50997, 51312, 50474, 51197, 50981, 50486, 51197, 51677, 50906, 53082, 50522, 51197, 51312, 50902, 51233, 50531, 51001, 51233, 50534, 50997, 51312, 50540, 50902, 51233, 50546, 51197, 51312, 50549, 50906, 51363, 53261, 51085, 51422, 50916, 52644, 50876, 52121, 50451, 51085, 51312, 50463, 50900, 51312, 50474, 51026, 51312, 50486, 51085, 51677, 50861, 53082, 50522, 51085, 51312, 50534, 51026, 51312, 50546, 51085, 51312, 53261, 51197, 51422, 50871, 52644, 51001, 52644, 50451, 51197, 51312, 50463, 50997, 51312, 50474, 51197, 50981, 50486, 51197, 51677, 50906, 53082, 50522, 51197, 51312, 50902, 51233, 50531, 51001, 51233, 50534, 50997, 51312, 50540, 50902, 51233, 50546, 51197, 51312, 50549, 50906, 51363, 53261, 51085, 51422, 50916, 52644, 50876, 52121, 50451, 51085, 51312, 50463, 50900, 51312, 50474, 51026, 51312, 50486, 51085, 51677, 50861, 53082, 50522, 51085, 51312, 50534, 51026, 51312, 50546, 51085, 51312, 53261, 51197, 51422, 50871, 52644, 51001, 52644, 50451, 51197, 51312, 50463, 50997, 51312, 50474, 51197, 50981, 50486, 51197, 51677, 50906, 53082, 50522, 51197, 51312, 50902, 51233, 50531, 51001, 51233, 50534, 50997, 51312, 50540, 50902, 51233, 50546, 51197, 51312, 50549, 50906, 51363, 53261, 51085, 51422, 50916, 52121, 50876, 52121, 50451, 51026, 51312, 50463, 51085, 50981, 50474, 51085, 50981, 50486, 51085, 51677, 50522, 51026, 51312, 50534, 51085, 50981, 50546, 51085, 50981, 53261, 51085, 51422, 50871, 52644, 50876, 52121, 50451, 51026, 51312, 50463, 51085, 50981, 50474, 51085, 50981, 50486, 50646, 51085, 51677, 50861, 53082, 50495, 50646, 50505, 50646, 50514, 50646, 50522, 51026, 51312, 50524, 50646, 50533, 50645, 50534, 51085, 50981, 50543, 50645, 50546, 51085, 51312, 50552, 50645, 53261, 51247, 58134, 51717, 50931, 51717, 50420, 50646, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 50876, 51312, 50534, 50871, 51312, 50546, 50876, 51312, 53261, 51247, 60006, 52644, 51001, 52644, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50861, 53082, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 50902, 51233, 50531, 51001, 51233, 50540, 50902, 51233, 50549, 50906, 51363, 53261, 51247, 58134, 51717, 50931, 51717, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 50876, 51312, 50534, 50871, 51312, 50546, 50876, 51312, 53261, 51247, 60006, 52644, 51001, 52644, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50861, 53082, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 50902, 51233, 50531, 51001, 51233, 50540, 50902, 51233, 50549, 50906, 51363, 53261, 51247, 58134, 51717, 50931, 51717, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 50876, 51312, 50534, 50871, 51312, 50546, 50876, 51312, 53261, 51247, 60006, 52644, 51001, 52644, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50861, 53082, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 50902, 51233, 50531, 51001, 51233, 50540, 50902, 51233, 50549, 50906, 51363, 53261, 51247, 58421, 52337, 50876, 52122, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 53261, 51247, 60045, 52337, 50877, 52122, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 53261, 51503, 51422, 50906, 51422, 50902, 52644, 50451, 51503, 51312, 50871, 51677, 50463, 51247, 51312, 50474, 51503, 50981, 50486, 51503, 51677, 50899, 53082, 50522, 51503, 51312, 50861, 51380, 50902, 51003, 50534, 51247, 51312, 50871, 51380, 50876, 51003, 50546, 51503, 51312, 50861, 51380, 50902, 51003, 53261, 51214, 51422, 50861, 51422, 51001, 52644, 50451, 51214, 51312, 50906, 51677, 50463, 52046, 51312, 50474, 51214, 50981, 50486, 51214, 51677, 50871, 51293, 50906, 51677, 50522, 51214, 51312, 50871, 51677, 50534, 52046, 51312, 50956, 51380, 50906, 51003, 50546, 51214, 51312, 50871, 63348, 51003, 53261, 51503, 51422, 50965, 51422, 50902, 52644, 50451, 51503, 51312, 50899, 51677, 50463, 51247, 51312, 50474, 51503, 50981, 50486, 51503, 51677, 50997, 51677, 50522, 51503, 51312, 50861, 51380, 50902, 51003, 50534, 51247, 51312, 50871, 51380, 50876, 51003, 50546, 51503, 51312, 50861, 51380, 50902, 51003, 53261, 51214, 51422, 50861, 51422, 51001, 52644, 50451, 51214, 51312, 50906, 51677, 50463, 52046, 51312, 50474, 51214, 50981, 50486, 50646, 51214, 51677, 50956, 53082, 50906, 51677, 50495, 50646, 50505, 50646, 50514, 50646, 50522, 51214, 51312, 50871, 51380, 50906, 51003, 50524, 50646, 50533, 50645, 50534, 52046, 51312, 50906, 51380, 51001, 51003, 50543, 50645, 50546, 51214, 51312, 50902, 51380, 50931, 51003, 50552, 50645, 53261, 51085, 51422, 50968, 52644, 50951, 52121, 50420, 50646, 50451, 51799, 51662, 50486, 51841, 51677, 50902, 53082, 50522, 51247, 51677, 53261, 51214, 51422, 50876, 52644, 50931, 52121, 50451, 51279, 51677, 50486, 51324, 51677, 50968, 53082, 50522, 51085, 51677, 53261, 51360, 51422, 50965, 51422, 50931, 52644, 50451, 51360, 51312, 50906, 51677, 50463, 51503, 51312, 50474, 51247, 51312, 50486, 50646, 52759, 51662, 51040, 51677, 50495, 50646, 50505, 50646, 50514, 50646, 50522, 51050, 51312, 51028, 51380, 51147, 51003, 50524, 50646, 50533, 50646, 50534, 51197, 51312, 70179, 50951, 51003, 50543, 50646, 50546, 51360, 51312, 50906, 51380, 50931, 51003, 50552, 50646, 53261, 50646, 51503, 51422, 50906, 52644, 50951, 52644, 50451, 51214, 51677, 50486, 51247, 51677, 50861, 51293, 51001, 51677, 50522, 52046, 51677, 50861, 51939, 51001, 51003, 50534, 50906, 51380, 50951, 51003, 50546, 51028, 51380, 51081, 51003, 53261, 51120, 51422, 50951, 52337, 51220, 52122, 50451, 51120, 51677, 50486, 51120, 51677, 50522, 51120, 51677, 53261, 51120, 78172, 52644, 51220, 52121, 50427, 51120, 77563, 51120, 80245, 51120, 50932 ]
[ 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, 2635, 6, 15352, 30054, 3495, 2214, 11, 274, 3694, 6, 4246, 10, 13305, 14, 1974, 149, 5, 40286, 9, 2060, 6, 272, 119, 6, 8, 274, 119, 406, 4, 590, 10, 20889, 9, 5549, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2125, 7630, 6568, 6453, 9, 657, 8, 11098, 6, 2905, 10686, 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 ]	[ 61791, 66301, 51333, 51512, 51333, 51153, 51333, 51876, 52147, 50420, 51153, 56307, 51435, 50905, 51144, 51466, 51512, 51466, 51153, 79542, 52381, 53913, 51516, 51203, 51561, 51330, 51308, 51330, 52746, 51703, 51099, 51447, 50447, 51435, 76015, 51561, 51333, 51308, 69173, 51639, 50892, 50799, 51435, 50901, 51512, 51330, 51777, 51330, 52785, 51748, 50420, 51435, 51097, 50423, 51847, 53220, 51144, 51333, 51512, 51333, 51777, 65461, 51144, 51333, 51512, 51333, 51777, 60779, 51561, 51330, 51099, 51333, 51512, 51330, 51153, 73786, 51153, 60977, 52785, 50984, 50799, 51777, 51255, 51144, 50932, 51512, 50932, 51308, 50932, 53038, 51671, 50423, 51435, 51255, 50426, 51847, 51330, 51512, 50932, 51308, 55665, 51639, 54112, 51435, 52729, 51512, 50974, 51847, 51330, 51308, 51097, 51639, 59242, 51144, 52985, 51435, 50901, 51847, 51330, 51308, 62214, 51153, 52071, 50459, 52746, 50912, 66301, 50932, 51512, 50932, 54733, 75856, 52746, 52688, 51280, 51314, 51099, 51314, 51512, 67608, 51512, 61637, 51308, 50845, 51869, 51412, 51706, 51412, 50456, 51153, 70634, 50623, 50459, 50623, 51964, 70568, 50623, 50799, 51512, 51134, 52785, 51677, 50417, 51964, 79604, 50623, 50420, 50623, 51876, 54347, 50623, 51280, 68521, 50623, 77718, 51144, 51097, 50429, 50623, 51153, 53513, 51435, 61761, 50624, 50434, 50624, 50435, 50624, 52381, 61055, 50624, 50438, 51516, 51141, 51847, 51244, 50441, 51561, 54653, 51099, 57904, 51308, 52989, 51099, 55371, 51308, 53581, 51435, 54678, 52477, 50827, 51639, 50822, 50799, 51435, 51452, 53646, 52151, 50417, 50624, 52477, 50874, 50418, 50624, 50420, 50623, 51561, 65369, 50623, 50422, 50623, 50423, 50623, 51144, 65553, 50623, 50425, 50623, 77718, 51512, 60092, 50623, 50428, 50623, 50429, 50623, 51777, 64756, 50623, 50432, 51435, 55270, 52381, 65598, 50623, 50438, 53629, 51961, 50456, 51964, 50892, 51639, 50873, 50799, 51435, 51116, 53038, 51148, 51777, 72442, 52477, 51310, 50423, 52381, 58938, 51847, 57648, 51837, 51646, 51948, 51189, 51964, 51047, 51639, 51047, 50441, 51869, 53783, 51198, 54803, 51561, 54276, 51099, 57622, 51308, 69960, 51516, 54421, 51435, 51790, 68407, 51391, 51876, 52071, 50417, 51280, 54711, 51144, 54252, 51099, 53881, 51308, 65005, 51099, 52739, 51512, 51314, 51153, 79882, 51435, 55125, 52381, 52961, 52746, 50892, 51948, 50795, 50799, 52381, 50845, 51837, 50795, 53646, 64691, 52929, 50805, 52477, 51675, 50426, 51837, 50805, 51144, 51148, 50432, 52381, 50854, 51153, 51680, 50435, 51948, 79954, 51435, 55441, 51876, 51534, 50454, 50623, 50455, 50623, 50456, 50623, 51435, 73363, 50623, 50458, 50623, 50459, 50623, 52477, 66211, 50623, 50461, 50623, 50799, 51837, 50805, 53646, 51293, 50415, 50623, 50416, 50623, 50417, 50623, 52477, 79604, 50623, 50419, 50623, 50420, 51561, 50822, 52929, 53471, 51144, 52654, 51837, 50795, 51153, 57173, 52381, 55098, 51948, 78583, 51308, 51108, 51153, 63236, 51435, 76630, 51308, 51330, 51153, 73786, 51837, 50873, 50799, 51948, 51562, 51964, 70762, 51869, 54335, 51198, 55544, 51561, 52015, 51308, 52015, 50438, 51948, 55322, 51516, 58705, 51516, 51221, 58637, 51313, 50417, 51435, 72250, 50623, 50420, 51869, 50844, 51639, 51397, 50421, 50623, 50422, 50623, 50423, 50623, 51198, 74298, 50623, 50425, 50623, 77718, 51561, 50844, 50428, 50623, 50429, 50623, 51099, 58779, 50623, 50431, 50623, 50432, 51308, 51803, 50444, 51435, 54230, 52381, 55345, 51948, 50849, 50799, 52381, 50845, 51837, 50795, 53038, 64691, 51876, 50845, 52929, 52483, 51280, 50901, 51837, 52605, 52381, 50808, 51847, 58952, 51948, 51255, 50438, 51512, 59242, 51435, 51221, 50447, 51280, 54004, 51512, 58667, 51435, 63007, 51280, 50822, 57528, 52929, 50839, 53038, 51359, 50415, 50623, 50416, 50622, 53629, 51124, 50418, 50622, 50419, 50622, 50420, 50622, 51876, 52069, 50423, 52929, 74592, 51847, 51518, 50432, 51837, 50795, 51512, 71161, 51948, 51116, 50447, 52381, 59323, 51512, 58667, 51837, 50893, 50799, 51948, 51472, 56686, 71785, 53646, 51945, 50426, 51706, 51692, 50432, 51308, 51675, 50438, 51948, 50805, 51435, 70268, 52381, 54230, 51948, 53702, 51837, 51623, 50461, 50622, 71803, 51127, 51435, 51047, 50416, 50622, 50419, 50622, 50420, 50622, 51876, 50901, 50421, 50622, 50422, 50622, 50424, 50622, 50426, 68365, 51153, 75725, 50622, 50429, 50622, 50431, 50622, 50432, 50622, 51099, 68233, 50622, 50434, 50622, 50435, 51706, 68522, 50622, 50438, 50622, 51232, 50795, 51153, 50914, 51964, 51189, 51489, 51127, 50439, 50622, 50442, 50622, 50443, 50622, 50444, 50622, 51099, 70083, 50622, 50446, 50622, 50447, 50622, 50448, 50621, 50449, 50621, 50450, 50621, 51706, 50981, 51153, 50889, 50451, 50621, 50452, 50621, 50453, 50621, 50454, 50621, 50456, 52381, 50808, 53038, 73363, 50621, 50458, 50621, 50459, 50621, 51948, 64333, 50622, 50461, 50622, 61791, 51153, 51221, 51837, 51238, 54733, 51127, 50415, 50622, 50416, 50623, 50417, 50623, 52746, 72250, 50623, 50419, 50623, 50420, 50623, 51706, 54588, 51280, 50849, 51777, 51124, 52929, 70397, 51512, 53308, 51639, 50849, 53629, 66454, 50623, 50435, 50623, 51280, 62903, 50624, 50437, 50624, 50438, 50623, 51516, 51241, 53629, 51091, 52746, 51127, 50441, 51706, 54207, 51144, 54672, 51099, 54276, 51308, 57622, 51639, 68429, 51948, 53848, 51837, 50808, 50799, 51435, 50849, 52929, 50879, 53038, 51103, 50417, 51876, 52871, 63884, 51639, 50849, 51837, 53471, 51847, 52710, 51777, 50849, 51948, 50805, 51512, 56217, 51639, 50873, 51837, 53470, 51153, 51003, 52381, 51241, 51876, 51295, 50441, 51280, 53103, 51144, 56888, 51099, 52848, 50623, 51512, 57465, 50623, 50452, 50623, 50453, 50624, 51153, 51124, 50455, 50624, 50456, 50623, 52381, 50812, 52746, 62355, 50623, 51516, 59342, 50623, 50799, 51435, 51235, 51512, 51241, 53646, 51127, 50417, 52477, 53066, 51561, 55797, 51144, 50800, 51516, 70397, 51308, 54259, 52381, 53505, 51153, 52729, 51512, 50943, 51639, 50914, 51964, 51127, 50441, 52477, 54207, 51280, 54672, 51561, 52741, 52381, 50795, 51512, 58705, 51837, 50795, 50799, 51948, 50914, 52176, 51183, 51435, 51183, 50417, 51706, 51835, 51144, 54080, 51308, 51204, 50426, 52381, 51736, 51948, 52262, 51837, 71378, 51516, 50889, 52533, 51141, 50441, 51280, 60459, 50623, 50444, 50623, 51099, 54672, 50623, 51153, 61841, 50623, 50450, 50623, 51516, 64620, 50623, 50453, 50623, 51153, 50991, 50455, 50623, 50456, 51964, 50808, 52381, 61963, 50623, 50459, 50623, 53038, 50808, 51948, 64333, 50623, 50461, 50623, 57528, 51837, 50991, 51639, 51446, 54733, 78034, 50623, 50416, 50624, 50417, 50624, 52746, 64754, 50624, 50420, 50624, 51706, 65290, 50623, 50423, 50623, 51280, 50849, 52929, 51238, 50424, 50623, 50429, 51512, 65903, 53629, 55246, 51435, 53415, 50623, 51516, 51351, 53629, 51362, 52746, 51183, 50439, 50623, 50440, 50623, 50441, 51706, 72473, 50623, 50444, 51144, 64661, 50623, 50447, 50623, 51099, 66270, 50623, 50449, 50623, 50450, 51308, 55874, 51639, 68429, 51948, 53848, 51837, 50808, 50799, 51435, 50873, 52929, 50893, 53038, 51127, 50417, 51876, 53932, 51280, 50810, 51639, 50845, 51837, 53471, 51847, 55035, 51777, 50901, 51948, 65708, 51512, 53308, 51639, 50849, 51837, 60698, 51280, 52729, 77061, 52381, 51191, 51876, 51218, 50441, 51280, 54207, 51144, 55590, 51099, 53639, 51512, 53987, 51153, 68429, 52381, 50808 ]
[ 0, 4688, 5175, 2214, 19, 10, 2842, 9, 3152, 2712, 6, 4246, 10, 11739, 9, 38668, 3038, 6, 12280, 3275, 1725, 3109, 6, 20535, 2810, 6, 16224, 1097, 483, 6, 8, 6755, 12547, 4, 8504, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 4, 20, 15229, 7630, 6568, 10, 15352, 30054, 8, 9066, 5466, 6, 19, 223, 34693, 9, 2365, 8, 814, 12, 13283, 4785, 6, 150, 6780, 41, 1374, 1372, 16464, 4, 20, 33215, 16739, 9, 83, 6, 211, 119, 6, 272, 119, 406, 6, 230, 406, 6, 8, 274, 3639, 7, 63, 13363, 28191, 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 ]	[ 54458, 58402, 50796, 50444, 51409, 51732, 51188, 51732, 51245, 52024, 76570, 52500, 50446, 50742, 50337, 52500, 50448, 50742, 50338, 52500, 50450, 50742, 50342, 52500, 50452, 50742, 50345, 52500, 50454, 50742, 50347, 52500, 50799, 52049, 50811, 52443, 50811, 55928, 50880, 51434, 50811, 51773, 50811, 52046, 50811, 51197, 50811, 50706, 50331, 53662, 77487, 69628, 55180, 52049, 50811, 52443, 50811, 55928, 50880, 51434, 50811, 51773, 50811, 52046, 50811, 51197, 50811, 50706, 50331, 54332, 54957, 52049, 50811, 52443, 50811, 52443, 50860, 55928, 50880, 51434, 50811, 51773, 50811, 51773, 61870, 52049, 50811, 52443, 51072, 55928, 50880, 51434, 50811, 51773, 51072, 50447, 52292, 50811, 52242, 50811, 55242, 50880, 51515, 50811, 51440, 52768, 52049, 50811, 52443, 51732, 55928, 50880, 51434, 50811, 51773, 51732, 50456, 52242, 50811, 51975, 50811, 54062, 50880, 51440, 50811, 51607, 50811, 50799, 52292, 50811, 52242, 50811, 55242, 50880, 51515, 50811, 51440, 50811, 51247, 68268, 50803, 50706, 50333, 50880, 51143, 51184, 51344, 51184, 52341, 58583, 77487, 69628, 55180, 52292, 50811, 52242, 50811, 55242, 50880, 51515, 50811, 51440, 50811, 51247, 68268, 50803, 50706, 50333, 54332, 54392, 69188, 52500, 51456, 64640, 76570, 52500, 51456, 58032, 50742, 50337, 52500, 51456, 53031, 50742, 50340, 52500, 51456, 56446, 50742, 50345, 52500, 51224, 59051, 51224, 52742, 51224, 62969, 51224, 59144, 51326, 53114, 51326, 56453, 51326, 59361, 51326, 52743, 51289, 64125, 51289, 57098, 51289, 53217, 51289, 57110, 50801, 59025, 50801, 50825, 50799, 52573, 50811, 52242, 50811, 55242, 50880, 51614, 50811, 51440, 50811, 51799, 50803, 51120, 50803, 67409, 50880, 51529, 51184, 51075, 51184, 53964, 51184, 50804, 69628, 55180, 52573, 50811, 52242, 50811, 55242, 50880, 51614, 50811, 51440, 50811, 51799, 50803, 51120, 50803, 67409, 54332, 54392, 51409, 51352, 57337, 56094, 54997, 56094, 50438, 52573, 50811, 52242, 50811, 55242, 50880, 51614, 50811, 51440, 50811, 52874, 68071, 52573, 50811, 52242, 50811, 55242, 50880, 51614, 50811, 51440, 55059, 52573, 50811, 52242, 50811, 55242, 50880, 51614, 50811, 51440, 52768, 53334, 50811, 52443, 51059, 55928, 50880, 52027, 50811, 51773, 75487, 52292, 50811, 51975, 50811, 54062, 50880, 51515, 50811, 51607, 50811, 50799, 52049, 50811, 52443, 50975, 55928, 50880, 51434, 50811, 51773, 50975, 51214, 80019, 50803, 64517, 50880, 51075, 51009, 51211, 51009, 52375, 56681, 55619, 69628, 55180, 52049, 50811, 52443, 51184, 55928, 50880, 51434, 50811, 51773, 51184, 51214, 80019, 50803, 64517, 54332, 54392, 51456, 64640, 51456, 58032, 51456, 53031, 51456, 56446, 51224, 59051, 51224, 52742, 51075, 53090, 51211, 52570, 51224, 62969, 51224, 59144, 51326, 53114, 51326, 56453, 51326, 59361, 51326, 52743, 51289, 64125, 51289, 57098, 51289, 53217, 51289, 57110, 50801, 59025, 50801, 50825, 50799, 52049, 50802, 52895, 50802, 52443, 51795, 76570, 52570, 55751, 50880, 51434, 50802, 52603, 50802, 51773, 51795, 52206, 52589, 51135, 54202, 52206, 52589, 51135, 53272, 52292, 50803, 74920, 66017, 54283, 50880, 51515, 50803, 51440, 50803, 51669, 50803, 52206, 52997, 51467, 53998, 53334, 50803, 77155, 69289, 54062, 50880, 52027, 50803, 51434, 50803, 51607, 50803, 52206, 52589, 51135, 53945, 52206, 52589, 51135, 57917, 53334, 50811, 52049, 50811, 51975, 50811, 54062, 50880, 52027, 50811, 51434, 50811, 51607, 52940, 52206, 52589, 51135, 56197, 53334, 50811, 52049, 50811, 51975, 50811, 54062, 50880, 52027, 50811, 51434, 50811, 51607, 52768, 52292, 50811, 52242, 50811, 52044, 50811, 54283, 50880, 51515, 50811, 51440, 50811, 51669, 50811, 52206, 52997, 51467, 54232, 52049, 50811, 52895, 50811, 52443, 50824, 55751, 50880, 51434, 50811, 52603, 50811, 51773, 50824, 52206, 52589, 72322, 50799, 52049, 50802, 52044, 50802, 52443, 51300, 54283, 50880, 51434, 50802, 51669, 50802, 51773, 51300, 51214, 52589, 51135, 54202, 51214, 52589, 51135, 53272, 52292, 50803, 74920, 69289, 54062, 50880, 51515, 50803, 51440, 50803, 51607, 50803, 51214, 52997, 51467, 53998, 53334, 50811, 52049, 50811, 52443, 51072, 55928, 50880, 52027, 50811, 51434, 50811, 51773, 51072, 51214, 52589, 51135, 53945, 51214, 52589, 51135, 57917, 53334, 50811, 52049, 50811, 52443, 50975, 55928, 50880, 52027, 50811, 51434, 50811, 51773, 58919, 51214, 52589, 51135, 56197, 53334, 50811, 52049, 50811, 52443, 51072, 55928, 50880, 52027, 50811, 51434, 50811, 51773, 63758, 52292, 50811, 52242, 50811, 51975, 50811, 54062, 50880, 51515, 50811, 51440, 50811, 51607, 50811, 51214, 52997, 51467, 54232, 51906, 51732, 52049, 50811, 52044, 50811, 54283, 50880, 51434, 50811, 51669, 50811, 51773, 51732, 51214, 52589, 72322, 50799, 60914, 50811, 53324, 51469, 51975, 51469, 52895, 51469, 51395, 51243, 51929, 51469, 51607, 51469, 52603, 51469, 51503, 51184, 51386, 51469, 51849, 51151, 68041, 63603, 53382, 60208, 54073, 53213, 52895, 57646, 51975, 58242, 53324, 52968, 53382, 61347, 54073, 58459, 52895, 54053, 51975, 62268, 53324, 60958, 53334, 54459, 54073, 50385, 53823, 68017, 52895, 62505, 51975, 54989, 53324, 72616, 60635, 53334, 61951, 52550, 54411, 52895, 61853, 68317, 51975, 64526, 53324, 54166, 53334, 54218, 60203, 51774, 61630, 54632, 50840, 50799, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 59566, 57705, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 54446, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 52992, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 52925, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 54487, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 55218, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 53044, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 53068, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 54859, 50798, 53268, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 50839, 50799, 52049, 50811, 52242, 50811, 52044, 50811, 51384, 50860, 53722, 50883, 51614, 50883, 51434, 50811, 51440, 50811, 51669, 50811, 51799, 50811, 67409, 50840, 51155, 50896, 58995, 56315, 54031, 77155, 74920, 66017, 51384, 50860, 73602, 50883, 53722, 50883, 51434, 50803, 51440, 50803, 51669, 50803, 51799, 50811, 67409, 52411, 53338, 56315, 53516, 51011, 63692, 52053, 61799, 51271, 53810 ]
[ 0, 250, 15352, 30054, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 7630, 6568, 10, 1472, 9, 11098, 8, 26545, 6, 10686, 13, 10, 8728, 822, 19834, 4, 20, 33215, 16739, 9, 12608, 119, 6, 2060, 406, 6, 8, 230, 10431, 401, 16, 6636, 5705, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50418, 52052, 50917, 50421, 52128, 51100, 50989, 51413, 51028, 51189, 51081, 51189, 51339, 51100, 50428, 51405, 60412, 51787, 56504, 52128, 51110, 51339, 51110, 50440, 51405, 50812, 51787, 52597, 51028, 51103, 50951, 51103, 51399, 51110, 50445, 50956, 51189, 51339, 51100, 50452, 51405, 55874, 51220, 52955, 51399, 51110, 51339, 51110, 51809, 51405, 50897, 51220, 67503, 51399, 51110, 51176, 51413, 50956, 51413, 50973, 51189, 51001, 51103, 51081, 51100, 50429, 51220, 50897, 51147, 57066, 51399, 51110, 50433, 51081, 51100, 50440, 51220, 79111, 53969, 51114, 51110, 50445, 51081, 51100, 51324, 51103, 51378, 51100, 50899, 51103, 50973, 51103, 50902, 51413, 50453, 50931, 79111, 50917, 50454, 51176, 57431, 51114, 51110, 51081, 51110, 50457, 50997, 51110, 52177, 51086, 51100, 50931, 76024, 64355, 51234, 51103, 51040, 51103, 50906, 51103, 75033, 51147, 51100, 50429, 67423, 51001, 52749, 75033, 50433, 51147, 51100, 50440, 51114, 50897, 51001, 58937, 50876, 51100, 50900, 51103, 51279, 51103, 50989, 51100, 50931, 50849, 50452, 64341, 50455, 50931, 52955, 50876, 74127, 51100, 51001, 51159, 50457, 53667, 51110, 53069, 51086, 51413, 51028, 75258, 50973, 51100, 51503, 51189, 50989, 51100, 50431, 50956, 75965, 50897, 71777, 50440, 50997, 79438, 65788, 63925, 50914, 50443, 51360, 51189, 50451, 50965, 51800, 50303, 50914, 50452, 50956, 70651, 50914, 50455, 52759, 51162, 53069, 63417, 50997, 51103, 51966, 50812, 51040, 50812, 63435, 60216, 50431, 51028, 79438, 50812, 60216, 51114, 51159, 51081, 51100, 51399, 69474, 57577, 51220, 56442, 51399, 64480, 51220, 50914, 50443, 51026, 51103, 50951, 51100, 52046, 51110, 50973, 51159, 51001, 51100, 50451, 50902, 50849, 50454, 51028, 50914, 50455, 50951, 51110, 51040, 66966, 50812, 59285, 50906, 51159, 51081, 51159, 52478, 51086, 51894, 50419, 50861, 51159, 50973, 51100, 51001, 51100, 50951, 75354, 51503, 51100, 50430, 75729, 71777, 79188, 50431, 50956, 50812, 51147, 52841, 51405, 51103, 51001, 51103, 51220, 51103, 51147, 51103, 50442, 56539, 65114, 50906, 75409, 50965, 65872, 59464, 50956, 62516, 50861, 50849, 57126, 50917, 50418, 51086, 51307, 62257, 58383, 66285, 51360, 58963, 60313, 62257, 51147, 51159, 51040, 61581, 50812, 58383, 50931, 51800, 50329, 51159, 51339, 75094, 51405, 66425, 51339, 64480, 51220, 51159, 51114, 51159, 51405, 69796, 51159, 52759, 71606, 51159, 50453, 50965, 69821, 58383, 51028, 51159, 50931, 51800, 50324, 70651, 51159, 51399, 51159, 52177, 51114, 51110, 50999, 77877, 69796, 51110, 50418, 51966, 51100, 50876, 51159, 78091, 69353, 63417, 51040, 50812, 63435, 60216, 67423, 76533, 51399, 60831, 51114, 51103, 50997, 51103, 51081, 51103, 51405, 51103, 51787, 51103, 50441, 52759, 51100, 50449, 50871, 50917, 50452, 50956, 51110, 63435, 60216, 50460, 50899, 50917, 51601, 52128, 51100, 50416, 51040, 51103, 51081, 51100, 51234, 51103, 51147, 51159, 51399, 51100, 50424, 51787, 61057, 52128, 59749, 51787, 51800, 50322, 50914, 50428, 51028, 51581, 50329, 51159, 50989, 67085, 50812, 51081, 51159, 50439, 50999, 51110, 50440, 51062, 51159, 51279, 51103, 50900, 51103, 50931, 51159, 50441, 51339, 51159, 50451, 51114, 69796, 50812, 72733, 51001, 51124, 50999, 51800, 50331, 51100, 50453, 50876, 71221, 61629, 51399, 50836, 76953, 50812, 50416, 51503, 51110, 51086, 51103, 51028, 51100, 51001, 51110, 51081, 51100, 51399, 51110, 50427, 75729, 50428, 64341, 50956, 50812, 58383, 51220, 76024, 55310, 51114, 51159, 50906, 51159, 51001, 51100, 51081, 51159, 50439, 51040, 51159, 51234, 51159, 50446, 50965, 71449, 71606, 51800, 50324, 51159, 62291, 70390, 51324, 51159, 57542, 51591, 51360, 51100, 50989, 51100, 51001, 51159, 51114, 51159, 51220, 51189, 51405, 51189, 56040, 50812, 63435, 58383, 50433, 50965, 61581, 71449, 65208, 51591, 50437, 52759, 51110, 50445, 50956, 50917, 50449, 62257, 51040, 51100, 70835, 50973, 52955, 51086, 51100, 50460, 51028, 50914, 50461, 50997, 51100, 51114, 51159, 51081, 51159, 51399, 51159, 62368, 75354, 52052, 51519, 50334, 50917, 50424, 52128, 51124, 50997, 50914, 50425, 51339, 51100, 51197, 51159, 50989, 69133, 51405, 52098, 50334, 50917, 50436, 51176, 51159, 50956, 51159, 50973, 51159, 51081, 51100, 51399, 64990, 51220, 52098, 50324, 50917, 50448, 51086, 75202, 51100, 50871, 51159, 50931, 51159, 51081, 51100, 50449, 51360, 66225, 50973, 52098, 50324, 67238, 63417, 51966, 51100, 50997, 51103, 51040, 50812, 63435, 60216, 60212, 51114, 51159, 51040, 50812, 51028, 51159, 51081, 51100, 51399, 69474, 50812, 60216, 50431, 51220, 62089, 51399, 54125, 50951, 51100, 51220, 51159, 51026, 51103, 50436, 50973, 51162, 51001, 51519, 50283, 51100, 50442, 50902, 72143, 51028, 50914, 50447, 50951, 51110, 51040, 66966, 50812, 59285, 50906, 51159, 51081, 51159, 50458, 51503, 51110, 51086, 51894, 71356, 50973, 51100, 51001, 51110, 50951, 51124, 55753, 75729, 50973, 62270, 64341, 50956, 50812, 51147, 59225, 51405, 51159, 51001, 51103, 51147, 51103, 51220, 51103, 50433, 56539, 51100, 50440, 52052, 51519, 50334, 59187, 51405, 51110, 50956, 50897, 50965, 65872, 50897, 52128, 51110, 50449, 50861, 75409, 50989, 57431, 51086, 51307, 62257, 58383, 66285, 51360, 58963, 50812, 52591, 62257, 58383, 50931, 51800, 50324, 51159, 51040, 70651, 50812, 51399, 51159, 51339, 50849, 50428, 51405, 59225, 51339, 57066, 51114, 50914, 50433, 51220, 51159, 50956, 51159, 51001, 51159, 51405, 51159, 52759, 68247, 62257, 51028, 51159, 50931, 51800, 50324, 51159, 50445, 51399, 51162, 50871, 51162, 50973, 53875, 51114, 51100, 50999, 51159, 51966, 51100, 50956, 78040, 51159, 51062, 51162, 53069, 51040, 50812, 60216, 63417, 67423, 76533, 51399, 75965, 59749, 51114, 51159, 50997, 51591, 51081, 51159, 51399, 51159, 51787, 50914, 50430, 52759, 64859, 50931, 52098, 50333, 50917, 50442, 51787, 51110, 51040, 50812, 60216, 51114, 51110, 51081, 51110, 51399, 51110, 50989, 52848, 50951, 51519, 50335, 56012, 51487, 75409, 52128, 50849, 50454, 51040, 51103, 51147, 50917, 50455, 51234, 51413, 51081, 51100, 51399, 51100, 50461, 52128, 50849, 62856, 50917, 50418, 63417, 51114, 51159, 63435, 60216, 51081, 51159, 51399, 51800, 50334, 73055, 50999, 51110, 50430, 51279, 51103, 50900, 51103, 50931, 77877, 51159, 51339, 51159, 50441, 51114, 51159, 50999, 51159, 50956, 50812, 57002, 51405, 50849, 50442, 51001, 51100, 50989, 60407, 64072, 51399, 53886, 51405, 50897, 50452, 51086, 51103, 51028, 51124, 50453, 51001, 51100, 51081, 51110, 51399, 51110, 51503, 51100, 51809, 62257, 50956, 50812, 58383, 64341, 70597, 51220, 65366, 51001, 51100, 51114, 51159, 50906, 51159, 51081, 51159, 50427, 51040, 51159, 50428, 51234, 51162, 50435, 50965, 71606, 51800, 50324, 50914, 50436, 50973, 51159, 50440, 51324, 51159, 50956, 75355, 51086, 51591, 51001, 51800, 50322, 51189, 51220, 51189, 51405, 51189, 50451, 51360, 51100, 50989, 51100, 56178, 50812, 63435, 58383, 63714, 51159, 50973, 51159, 51001, 65208, 51413, 50427, 52759, 50917, 50434, 51028, 50897, 50906, 79282, 51086, 63403, 50897, 50973, 56057, 50871, 57577, 51360, 51162, 50445, 51028, 51159, 51114, 51486, 50989, 51159, 50906, 51159, 51001, 51159, 50449, 51966, 51189, 50997, 61327, 50956, 52098, 50300, 50917, 50460, 51027, 50897, 50989, 60091, 50899, 50836, 52591, 50997, 51103, 51040, 51159, 50989, 51159, 50424 ]
[ 0, 250, 182, 765, 37903, 9, 5175, 8, 3495, 930, 14, 16, 20425, 6, 1372, 6, 8, 15352, 30054, 6, 19, 10, 11602, 9, 15073, 4, 85, 16, 11, 5, 762, 9, 272, 10431, 3694, 8, 34, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 6, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 13931, 1171, 12608, 12361, 6, 163, 428, 6, 2060, 119, 6, 8, 2060, 406, 73, 347, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51176, 51646, 51176, 51798, 51176, 51923, 50916, 50795, 56178, 51646, 50956, 51798, 50956, 51923, 50916, 50795, 57346, 51646, 51040, 51798, 51040, 51923, 51086, 50795, 57346, 51631, 51040, 51736, 51086, 51646, 51040, 51918, 51086, 51798, 51040, 51923, 51086, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 19834, 27456, 6, 42, 2125, 22750, 1626, 11098, 8, 1619, 9450, 4, 2595, 10312, 30, 10, 11577, 12547, 9, 13305, 6, 21979, 9590, 6, 26432, 636, 3938, 22052, 6, 38668, 20535, 6, 8, 17691, 28430, 6, 24, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 3694, 6, 5, 15229, 16, 17407, 30, 5, 16331, 33215, 16739, 9, 12608, 6, 272, 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 ]	[ 57739, 51070, 60387, 60387, 60387, 60387, 53548, 51070, 57503, 57503, 57503, 57503, 52444, 51070, 57388, 57388, 57388, 57388, 55268, 51070, 59345, 59345, 59345, 59345, 50930, 51755, 74447, 55366, 50991, 51176, 53010, 63564, 50907, 54195, 50827, 53761, 51397, 52253, 51627, 50415, 51503, 52063, 51402, 61844, 54195, 54448, 53552, 50825, 54824, 76166, 50876, 73477, 50982, 51001, 50928, 51147, 54298, 51510, 50891, 50965, 51123, 50876, 62520, 51001, 51000, 80164, 50825, 55366, 52370, 50288, 51051, 51176, 50907, 51532, 50891, 51361, 50825, 52157, 52014, 50290, 55583, 50312, 52666, 50316, 72938, 50941, 63564, 50851, 54195, 63502, 51085, 51954, 50324, 51004, 51556, 50891, 69615, 50820, 51461, 53177, 50292, 51328, 50900, 52063, 54195, 50827, 69107, 50827, 52575, 51535, 52253, 51627, 51572, 70041, 64559, 52666, 50320, 50971, 54195, 50827, 52837, 63540, 50861, 55686, 53552, 50891, 50876, 73210, 65379, 52386, 50323, 51297, 51382, 51041, 50825, 51085, 51309, 50900, 51797, 50451, 51493, 50937, 77695, 51897, 50825, 51461, 75672, 65379, 52666, 50316, 64468, 50928, 54195, 50886, 69107, 50864, 74262, 51755, 74447, 65722, 50874, 54195, 73821, 51140, 75198, 51775, 52544, 51145, 52253, 51145, 51402, 53738, 53552, 64559, 50870, 54824, 50907, 54195, 65369, 51140, 61257, 50908, 50931, 50837, 51510, 50891, 50965, 54191, 50321, 69666, 62520, 51140, 50959, 80164, 50825, 51085, 51363, 65722, 67322, 51522, 50806, 54195, 50864, 51532, 50891, 51361, 50825, 51150, 50844, 50876, 72503, 72172, 51000, 54195, 50874, 54824, 50984, 51556, 53115, 51577, 52388, 57737, 63239, 50949, 66641, 51247, 50897, 51050, 50833, 60040, 50439, 51793, 50952, 50965, 50862, 65722, 50874, 54195, 50844, 51755, 74447, 51140, 50822, 54195, 50874, 65722, 50904, 52714, 55614, 51247, 52415, 50297, 50972, 51402, 53738, 53552, 50825, 51140, 64397, 50908, 54195, 50874, 54824, 50907, 52278, 50807, 50421, 50876, 71357, 50870, 51510, 50891, 51140, 72172, 75770, 70202, 50904, 80164, 50825, 51522, 51519, 50285, 67322, 51050, 51254, 51532, 62000, 51150, 50955, 51361, 64660, 52666, 50316, 64470, 50904, 54195, 50864, 65722, 50864, 52926, 51212, 51556, 50891, 69615, 50820, 52157, 50925, 51234, 51008, 50997, 51470, 58569, 50864, 65722, 50886, 52186, 51295, 51572, 70041, 50825, 52157, 71120, 54191, 50314, 50891, 58569, 50864, 54115, 68164, 50871, 56377, 53552, 50891, 51028, 51123, 76075, 50871, 51470, 50448, 52157, 58579, 51001, 51142, 51382, 51041, 50825, 52318, 51519, 50290, 64569, 51481, 51647, 61733, 51140, 58325, 51897, 73357, 78176, 64470, 50971, 58569, 70669, 50867, 74262, 51755, 74447, 51140, 50827, 51050, 51079, 65722, 50864, 54195, 50874, 52926, 50840, 51402, 53738, 53552, 50825, 51140, 64660, 54191, 50309, 52666, 50316, 50870, 54195, 50874, 54824, 50912, 52186, 50807, 51510, 50891, 51140, 66811, 51269, 50876, 65869, 50871, 51297, 80164, 50825, 51522, 51060, 51050, 51006, 51532, 50891, 51361, 50825, 51150, 66878, 54191, 50316, 75868, 51000, 54195, 50864, 65722, 50864, 51784, 50857, 51556, 50891, 69615, 50820, 52157, 50925, 51234, 51712, 50302, 51753, 65722, 50874, 58569, 50941, 52549, 51472, 51572, 70041, 50825, 52157, 68840, 54731, 50314, 50928, 58569, 50912, 54115, 71703, 50871, 56377, 53552, 50891, 51028, 52179, 50871, 53535, 50314, 51376, 50448, 52157, 50925, 51382, 51041, 70322, 52518, 51234, 71364, 52318, 50917, 77695, 51897, 50825, 51140, 69791, 78176, 61582, 50941, 65722, 68826, 58569, 50941, 51621, 56772, 51176, 54848, 51755, 74447, 55366, 51055, 51503, 51753, 63564, 70250, 54195, 50864, 51784, 50887, 51402, 53738, 53552, 64660, 79986, 52386, 50307, 51129, 54195, 50827, 54824, 50984, 52549, 50889, 51510, 50891, 50965, 51022, 71089, 50956, 51252, 50425, 51176, 53010, 80164, 50825, 51560, 51514, 50288, 51753, 51532, 50891, 51361, 50825, 55366, 59703, 51022, 50876, 52386, 50307, 51319, 63564, 50907, 54195, 61231, 52173, 50851, 51556, 58286, 52419, 50915, 69615, 50820, 51279, 52059, 51027, 53161, 69107, 50874, 58569, 50941, 52285, 50925, 51572, 70041, 73357, 54298, 50877, 51126, 58569, 50827, 54116, 50912, 52173, 55932, 53552, 50891, 50877, 51022, 50448, 77559, 51382, 51041, 50825, 51493, 73387, 52059, 51279, 51753, 52549, 50889, 51647, 61733, 69107, 55293, 51897, 50825, 52419, 50942, 51028, 51123, 50877, 51000, 58569, 51000, 50457, 50916, 50971, 74262, 51755, 74447, 55366, 51157, 51503, 52034, 54195, 50851, 63564, 51000, 51784, 67481, 51176, 55789, 51402, 53738, 53552, 50825, 54824, 51022, 54195, 73122, 50965, 51269, 50876, 52666, 50307, 51319, 51510, 50891, 80164, 50825, 51560, 50805, 54824, 51126, 54195, 70085, 51503, 52666, 50300, 51128, 51532, 50891, 51361, 50825, 55366, 63328, 51123, 51234, 52386, 50302, 64743, 57741, 50331, 51210, 54195, 65176, 50956, 50982, 51556, 50891, 69615, 50820, 51461, 50845, 52659, 52511, 50292, 51753, 50900, 51797, 54195, 50851, 69107, 50864, 51572, 70041, 50825, 51098, 55332, 70202, 51074, 54195, 50874, 52837, 63540, 50916, 58554, 53552, 50891, 50916, 51022, 50448, 50861, 50971, 51382, 51041, 50825, 51461, 51455, 50292, 51309, 50900, 52059, 77695, 51897, 50825, 51098, 51006, 54195, 50886, 69107, 63652, 50876, 64007, 52081, 50308, 50971, 74262, 51755, 74447, 51140, 51008, 51050, 50978, 65722, 50874, 54195, 50904, 52714, 50813, 51402, 53738, 53552, 71762, 53131, 50312, 52192, 54195, 50851, 54824, 50907, 52278, 51013, 50421, 51140, 73355, 75770, 50908, 51510, 50891, 51140, 66826, 51041, 50825, 51522, 51121, 51085, 50892, 51532, 50891, 51361, 50825, 51150, 50878, 51247, 61257, 51123, 50900, 77918, 50870, 64135, 50333, 50874, 52926, 50873, 51556, 50891, 69615, 50820, 52157, 50812, 51234, 51423, 65722, 50867, 58569, 50864, 52186, 51157, 51572, 70041, 50825, 52157, 65124, 50908, 50906, 50870, 58569, 50904, 54115, 56197, 53552, 50891, 52157, 71304, 51123, 51382, 51041, 50825, 52318, 75050, 51481, 51234, 51328, 77695, 51897, 50825, 51140, 75600, 61123, 51764, 50305, 51126, 65722, 50867, 58569, 72806, 52186, 50971, 74262, 51755, 74447, 51050, 51277, 54195, 50822, 65722, 50867, 52926, 59249, 51140, 50822, 51402, 53738, 53552, 50825, 51140, 66811, 53010, 54195, 50874, 54824, 50904, 52186, 50914, 50421, 50871, 50870, 50900, 51432, 51510, 62184, 51140, 62154, 50971, 80164, 50825, 51522, 51519, 50297, 50838, 51532, 50891, 51361, 50825, 51150, 50878, 50965, 51123, 50871, 50904, 54195, 50864, 65722, 63502, 50900, 50941, 51784, 51212, 51556, 50891, 69615, 50820, 52157, 50925, 51234, 51242, 65722, 50827, 58569, 70639, 50997, 51753, 52549, 50914, 51572, 70041, 50825, 52157, 50855, 58569, 50904, 54115, 71583, 51040, 53693, 50314, 51166, 50447, 53552, 75816, 71487, 52157, 64824, 51041, 50825, 52318, 51519, 50290, 51242, 77695, 51897, 50825, 51140, 50892, 65722, 50822, 54115, 50864, 58569, 50941, 52549, 66000, 50906, 64470, 78277, 51126, 74262, 51755, 74447, 55366, 51346, 51176, 58483, 51503, 51884, 63564, 50827, 54195, 50904, 51784, 50865, 51402, 53738, 53552, 64660, 51432, 54824, 50907, 54195, 50874, 52549, 50943, 50421, 50900, 50891, 51510, 50891, 50956, 54191, 50304, 51851, 50425, 51503, 51277, 80164, 50825, 55366, 51519, 50300, 51824, 51532, 62000, 51234, 51644, 50291, 51022, 52173, 50845, 51361, 50825, 51560, 52434, 50312, 50984, 50956, 51126, 63564, 50912, 54195, 58803, 50900 ]
[ 0, 250, 25306, 19834, 15229, 11, 211, 3694, 6, 4246, 30062, 620, 7085, 12280, 642, 6, 18558, 6, 21979, 9590, 6, 8, 6755, 12547, 6, 2351, 41, 9066, 8, 19448, 5466, 4, 590, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 42, 765, 2125, 25935, 1626, 227, 211, 538, 8, 211, 3694, 40286, 6, 7630, 14805, 10, 1472, 9, 2821, 16235, 8, 15073, 6, 1969, 13, 822, 4391, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50796, 50796, 50461, 67929, 53501, 52776, 52570, 50799, 54128, 51237, 50425, 51273, 50807, 50437, 51261, 56508, 51273, 51003, 54204, 55973, 51273, 56389, 54128, 54145, 51273, 50943, 54204, 75725, 51273, 73125, 51261, 51003, 50451, 51273, 50889, 51601, 54128, 51237, 67929, 53501, 52776, 52570, 55699, 51675, 51555, 51591, 50427, 51273, 68647, 51261, 50943, 50445, 54445, 51377, 51584, 51162, 50452, 51273, 59827, 51722, 51162, 54099, 51116, 51809, 78899, 54445, 51178, 50417, 51584, 51110, 50425, 54445, 51110, 51584, 51110, 50428, 51273, 51056, 50433, 54099, 51124, 51722, 51124, 50440, 54128, 57699, 55699, 51178, 51555, 65504, 55699, 51124, 51555, 51110, 50452, 51273, 50943, 50457, 57330, 51121, 51783, 51100, 52177, 51261, 50943, 57330, 51221, 51783, 74592, 55699, 51591, 51555, 51591, 50429, 51273, 50943, 50441, 51261, 51003, 50453, 51273, 50889, 50455, 57330, 62174, 51783, 51111, 50799, 57330, 77921, 51783, 66147, 54128, 51237, 50421, 61707, 76968, 52041, 50849, 50428, 61707, 51177, 50429, 51273, 50807, 52041, 51177, 50435, 51783, 51110, 57330, 51121, 50442, 51261, 50943, 61789, 51127, 50443, 52123, 51103, 50454, 51273, 51003, 51809, 57330, 51121, 50417, 51783, 51110, 50418, 78899, 50425, 57330, 63963, 51783, 51110, 50430, 51273, 57421, 55699, 53259, 50433, 51555, 54153, 50442, 54128, 66395, 51273, 50943, 53069, 51261, 50943, 50431, 51273, 50943, 50443, 51261, 51003, 50455, 51273, 50889, 51809, 52679, 51159, 51567, 50889, 50419, 54128, 51237, 50427, 54099, 51178, 50428, 51722, 51110, 50431, 51273, 62369, 52123, 52069, 50436, 51612, 51894, 50444, 51261, 58705, 51273, 51003, 52591, 78899, 50427, 52041, 51159, 52075, 51377, 50432, 51273, 50943, 50437, 52679, 50873, 51567, 78373, 54128, 66456, 52679, 51178, 51567, 51110, 50453, 54099, 51043, 51722, 66947, 51273, 50943, 50460, 54445, 51056, 50461, 51584, 51377, 55753, 51261, 50943, 50423, 52679, 51110, 51567, 51124, 50431, 54099, 51127, 51722, 51103, 50433, 51273, 50943, 50445, 51261, 51003, 50455, 54445, 67773, 51584, 51162, 50457, 51273, 50889, 52177, 55699, 50937, 51555, 51121, 50421, 54128, 51237, 50424, 57330, 50937, 50425, 51783, 65135, 57330, 50937, 51783, 68233, 51273, 61298, 57330, 51121, 51783, 51100, 50445, 55699, 51351, 50446, 51261, 50943, 51555, 50943, 50458, 51273, 51003, 54445, 51103, 51584, 51103, 56020, 78899, 50434, 51273, 50943, 57330, 51221, 50435, 51783, 65346, 55699, 52821, 50445, 51555, 52903, 50446, 54128, 79263, 51273, 50943, 57731, 51261, 50943, 50435, 51273, 50943, 50447, 51261, 51003, 50459, 51273, 50889, 57731, 54128, 50889, 52776, 53601, 55228, 58299, 52650, 76980, 56265, 57173, 53267, 50995, 50435, 51273, 50807, 50436, 53472, 50995, 50439, 52697, 51108, 50442, 52650, 50995, 50445, 53039, 50932, 50448, 51261, 51013, 53267, 50981, 50451, 54428, 51097, 50454, 52697, 50995, 50457, 54723, 50932, 50460, 51273, 51003, 53039, 51003, 51601, 57545, 50981, 50418, 52697, 50995, 50421, 54723, 50932, 50424, 51261, 51016, 53267, 50915, 50427, 54428, 51097, 50430, 52650, 50995, 50433, 53039, 50932, 50436, 51273, 50943, 53472, 50995, 50439, 52697, 50932, 50442, 56265, 50915, 50445, 53267, 51097, 50448, 54128, 51013, 51699, 54300, 55228, 50915, 50451, 52650, 50995, 50454, 56265, 50915, 50457, 53267, 50995, 50460, 51273, 50943, 50461, 53472, 50995, 51809, 52697, 51108, 50419, 52650, 50981, 50422, 53039, 50932, 50425, 79205, 53267, 50915, 50428, 54428, 50995, 50431, 52697, 50915, 50434, 54723, 50995, 50437, 51273, 50943, 53039, 50981, 50440, 57545, 51097, 50443, 52697, 50981, 50446, 54723, 51097, 50449, 51261, 50889, 53267, 50981, 50452, 54428, 51097, 50455, 52650, 50995, 50458, 53039, 51108, 50461, 51273, 50889, 53472, 50981, 51809, 52697, 51534, 50419, 56265, 74430, 53267, 63750, 54128, 50889, 51699, 53073, 55228, 51003, 55699, 51675, 51555, 51675, 50428, 52650, 50995, 50431, 56265, 50915, 50434, 53267, 56656, 51273, 50807, 53472, 74244, 52697, 63236, 52650, 50995, 50447, 53039, 54980, 51261, 51013, 53267, 77204, 54428, 62214, 52697, 50995, 51584, 50914, 54445, 51377, 50459, 54723, 50932, 54079, 51003, 53039, 51003, 50417, 57545, 50981, 50419, 54099, 50873, 51722, 74895, 52697, 50995, 50423, 54723, 54869, 51261, 51016, 53267, 50915, 50428, 51722, 51056, 50429, 54428, 51097, 54099, 77066, 52650, 50995, 50435, 53039, 54498, 51273, 51056, 53472, 50995, 54445, 51255, 50439, 51584, 51221, 50441, 52697, 56350, 56265, 50915, 50447, 53267, 51097, 51567, 51127, 50448, 52679, 51127, 50450, 54128, 51013, 55228, 65421, 52650, 58843, 56265, 50915, 50460, 53267, 50995, 51601, 51273, 50943, 53472, 50995, 50418, 52697, 51108, 50421, 52650, 50981, 50423, 54099, 51221, 51722, 51377, 50424, 53039, 50932, 50427, 79205, 53267, 50915, 50430, 54428, 50995, 50433, 52697, 50915, 54445, 51183, 51584, 51127, 50436, 54723, 50995, 50439, 51273, 50943, 53039, 50981, 50442, 57545, 51097, 50445, 52697, 50981, 50448, 54723, 51097, 50451, 51261, 50889, 53267, 50981, 50454, 54428, 51097, 50457, 52650, 50995, 50458, 52123, 51194, 50459, 51612, 51177, 50460, 53039, 51108, 51601, 51273, 50889, 53472, 50981, 50418, 52697, 73318, 52123, 51417, 51612, 51417, 50421, 56265, 50915, 50424, 53267, 50995, 50427, 54128, 51013, 52481, 52570, 55228, 50981, 50430, 52650, 51097, 50433, 56265, 50915, 50437, 53267, 50995, 50439, 51567, 51221, 50440, 51560, 50807, 54969, 50981, 52679, 51177, 50443, 54254, 51097, 50446, 52650, 50981, 50449, 53039, 50932, 52679, 51692, 51567, 51518, 50452, 51261, 51016, 53267, 50981, 50455, 54428, 51097, 50458, 54254, 51003, 50461, 58143, 50995, 51809, 51560, 50943, 53039, 50981, 50419, 57545, 51097, 50422, 54254, 50981, 50425, 58143, 50932, 50428, 79205, 53267, 50915, 50431, 54428, 50995, 50434, 52650, 50981, 54099, 50873, 51722, 51121, 50437, 53039, 51097, 50440, 51560, 50915, 54969, 50981, 50443, 54254, 51097, 54099, 51121, 51722, 75577, 56265, 51003, 50449, 53267, 57991, 54445, 51221, 51584, 51178, 50452, 54128, 50889, 55228, 50995, 50455, 52650, 50932, 50459, 56265, 51003, 50460, 54445, 50873, 51584, 51178, 50799, 53267, 50981, 50417, 51560, 50889, 54969, 50981, 50419, 55699, 55689, 54254, 51097, 51555, 71818, 52650, 58326, 53039, 51097, 50427, 55699, 51359, 51555, 51359, 50429, 51261, 50889, 53267, 57547, 54428, 51097, 50435, 54254, 56509, 58143, 74244, 51560, 50889, 53039, 59791, 57545, 75102, 54254, 57105, 58143, 70256, 51261, 50889, 53267, 58843, 54428, 50932, 50459, 52650, 50995, 50799, 53039, 66885, 51560, 50889, 54969, 60413, 54254, 50981, 50423, 56265, 58187, 53267, 51108, 50429, 52143, 52570, 50430, 54128, 51013, 55228, 57173, 52650, 50995, 50436, 53715, 50981, 52123, 51121, 51612, 51221, 50439, 52566, 51097, 50442, 51560, 50889, 54969, 59242, 52679, 51178, 51567, 51221, 50445, 54254, 51097, 50448, 52650, 50995, 50451, 53039, 51108, 50454, 51150, 51016, 52566, 50915, 52679, 51518, 50455, 51567, 51486, 50457, 53647, 50995, 50460, 54254, 50915, 51601, 58143, 50995, 50418, 51560, 50889, 53039, 50995, 50421, 57545, 51108, 50424, 54254, 50995, 50427, 58143, 51108, 50430, 74596, 52566, 50915, 50433, 53647, 51097, 50436, 52650, 50995, 50439, 53039, 50932, 50442, 51560, 50807, 54969, 50915, 54099, 50937, 51722, 50937, 50445, 54254, 51097, 50448, 53715, 50981, 50449, 54099, 50937, 51722 ]
[ 0, 250, 20902, 3495, 2214, 11, 83, 3694, 6, 5378, 16364, 19, 11098, 8, 19166, 34879, 4, 85, 3136, 23, 10, 7212, 20889, 9, 12730, 13410, 228, 2289, 6, 6780, 10, 5204, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 230, 406, 6, 12608, 406, 6, 211, 406, 6, 8, 272, 3639, 41, 20425, 8, 17627, 17274, 619, 7, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 54206, 50827, 61335, 61335, 58529, 58529, 58529, 51234, 50933, 51234, 50933, 51234, 50933, 74180, 74180, 74180, 56363, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 52641, 79099, 79099, 51247, 56626, 50997, 74941, 74941, 63279, 67954, 67954, 61123, 61123, 61123, 53945, 51234, 50933, 51234, 50933, 51234, 50933, 74180, 74180, 50997, 57940, 50906, 62378, 62378, 66880, 50997, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 59361, 50876, 61316, 61316, 58914, 51028, 70859, 70859, 53996, 51247, 50827, 51247, 50827, 51247, 55371, 50902, 64134, 64134, 54232, 50899, 63279, 63279, 50825, 51279, 51604, 50289, 51604, 50289, 66445, 66445, 66445, 59972, 60299, 60299, 60299, 51601, 51081, 76819, 76819, 51604, 50290, 50827, 51234, 50827, 51234, 53004, 50997, 74941, 74941, 63279, 63279, 63279, 50825, 61801, 61801, 61801, 58254, 58254, 58254, 59715, 59715, 59715, 69557, 69557, 51081, 63587, 50871, 63751, 63751, 52641, 79099, 79099, 51247, 56626, 50997, 74941, 74941, 73356, 68804, 68804, 60097, 60097, 60097, 53945, 51234, 50933, 51234, 50933, 51234, 50933, 50899, 52169, 50306, 52169, 50306, 64611, 51309, 50871, 51309, 50871, 51309, 55989, 63279, 63279, 74941, 75280, 75280, 76819, 50827, 69557, 51081, 54043, 51062, 51604, 50328, 51604, 50328, 53996, 51247, 51604, 50285, 51604, 50285, 51604, 50329, 51604, 50329, 51604, 50329, 64599, 51146, 78164, 78164, 62356, 51339, 51604, 50333, 51604, 50333, 51604, 50289, 50827, 51279, 50827, 51279, 53176, 50871, 63751, 63751, 63279, 67954, 67954, 59972, 51487, 50827, 51487, 50827, 51487, 50827, 50799, 52052, 50825, 52052, 50825, 52052, 50825, 51234, 50827, 51234, 50827, 51234, 73616, 52052, 50827, 52052, 50827, 52052, 53004, 50997, 74941, 74941, 63279, 63279, 63279, 50825, 51062, 51604, 50328, 51604, 50328, 78164, 78164, 78164, 51604, 50333, 51604, 50333, 51604, 50333, 51604, 50335, 51604, 50335, 51604, 50335, 60417, 51247, 50827, 51247, 50827, 51247, 67825, 51279, 51604, 50289, 51604, 50289, 53998, 50997, 74941, 74941, 63279, 63279, 63279, 52742, 51234, 50827, 51234, 50827, 51234, 53086, 50997, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 52743, 79099, 79099, 51247, 57131, 50997, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 50825, 54662, 52169, 50290, 52169, 50290, 51006, 56363, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 52641, 51247, 50827, 51247, 50827, 51247, 52739, 50997, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 50825, 51279, 51604, 50289, 51604, 50289, 59380, 51234, 50933, 51234, 50933, 51234, 50933, 50443, 50899, 63279, 63279, 63751, 63751, 63751, 53114, 50997, 74941, 74941, 52743, 79099, 79099, 51247, 57131, 50997, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 56834, 51234, 50933, 51234, 50933, 51234, 50933, 55331, 50933, 76884, 76884, 76890, 76890, 76890, 51081, 52169, 50326, 52169, 50326, 64611, 51277, 50871, 51277, 50871, 51277, 56363, 74941, 74941, 63279, 63279, 63279, 52641, 79099, 79099, 79099, 76884, 76884, 76884, 50931, 71227, 71227, 52169, 50326, 77404, 77404, 55665, 50899, 63279, 63279, 72680, 57777, 57777, 57643, 57643, 57643, 77868, 77868, 77868, 63936, 50997, 74941, 74941, 63751, 63751, 63751, 52742, 51234, 51260, 50290, 51260, 50290, 53624, 50899, 67954, 67954, 68804, 68804, 68804, 61123, 61123, 61123, 75280, 64569, 64569, 52985, 77767, 77767, 77767, 50900, 51277, 50900, 51277, 50900, 66983, 51120, 51604, 50294, 51604, 50294, 67954, 58754, 58754, 50838, 55881, 50933, 51197, 50933, 51197, 50933, 50956, 50933, 50956, 50933, 50956, 50933, 50906, 57292, 57292, 60778, 60778, 60778, 57945, 57945, 57945, 54177, 50997, 74941, 74941, 73356, 73356, 73356, 63893, 63893, 63893, 52641, 51234, 52169, 50290, 52169, 50290, 64066, 64066, 64066, 78393, 66985, 66985, 65300, 65300, 65300, 55665, 50906, 51277, 50906, 51277, 50906, 51277, 51081, 51277, 51081, 51277, 51081, 51277, 50433, 50997, 75280, 75280, 68804, 68804, 68804, 60097, 60097, 60097, 53945, 51197, 50933, 51197, 50933, 51197, 50933, 50443, 50900, 66498, 66498, 75280, 50827, 68070, 50997, 53086, 50899, 63279, 63279, 73356, 60420, 60420, 55332, 55332, 55332, 52985, 50861, 63893, 63893, 50825, 51234, 52169, 50290, 52169, 50290, 52169, 50306, 58754, 58754, 70792, 50871, 57712, 57712, 68927, 50956, 60420, 60420, 53581, 50900, 52169, 50304, 52169, 50304, 51006, 54662, 50933, 51234, 50933, 51234, 50933, 50902, 57777, 57777, 57643, 57643, 57643, 64569, 51277, 50997, 51277, 50997, 51277, 50899, 51309, 50899, 51309, 50899, 51309, 55961, 63751, 63751, 58990, 79099, 79099, 51247, 55656, 50902, 69715, 69715, 71227, 57643, 57643, 53052, 50997, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 57514, 50931, 57643, 57643, 57777, 51172, 69995, 69995, 51081, 51199, 51081, 51199, 51081, 59612, 51234, 50933, 51234, 50933, 51234, 50933, 50871, 51277, 50871, 51277, 50871, 51277, 66626, 74941, 74941, 63279, 63279, 63279, 57723, 51247, 50827, 51247, 50827, 51247, 50827, 51001, 60778, 60778, 60472, 60472, 60472, 65348, 51277, 51062, 51277, 51062, 51277, 62291, 61579, 61579, 50932, 50455, 51279, 51604, 50289, 51604, 50289, 54232, 50997, 74941, 74941, 50825, 54662, 50933, 51234, 50933, 51234, 50933, 50899, 51277, 50899, 51277, 50899, 51277, 51146, 51309, 51146, 51309, 51146, 51309, 50931, 51484, 50931, 51484, 50931, 51484, 51081, 51199, 51081, 51199, 51081, 51199, 56363, 74941, 74941, 55983, 77670, 77670, 51062, 64999, 51146, 50933, 51146, 50933, 51146, 55656, 79099, 79099, 51247, 56626, 50871, 63751, 63751, 74941, 75280, 75280, 67954, 67954, 67954, 76819, 64079, 64079, 57777, 51277, 50902, 51277, 50902, 51277, 50433, 51147, 50825, 51147, 50825, 51147, 69043, 51277, 50931, 51277, 50931, 70351, 51234, 51260, 50290, 51260, 50290, 53624, 50931, 66445, 66445, 63903, 51283, 50965, 51283, 50965, 51283, 50445, 51027, 50825, 51027, 50825, 51027, 74941, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 56453, 60299, 60299, 50951, 54043, 59715, 59715, 50931, 52989, 50968, 66408, 66408, 51604, 50292, 50827, 51085, 50827, 51085, 68926, 51120, 51604, 50294, 51604, 50294, 54232, 50997, 74941, 74941, 56834, 50861, 51277, 50861, 51277, 50861, 51277, 51001, 51199, 51001, 51199, 51001, 51199, 55881, 50933, 51197, 50933, 51197, 50933, 66283, 66283, 66283, 50951, 51199, 50951, 51199, 50951, 51199, 56363, 74941, 74941, 73356, 68804, 68804, 76819, 52169, 50326, 52169, 50326, 57104, 51234, 50827, 51234, 50827, 51234, 67825, 51085, 50825, 51085, 50825, 51085, 70789, 65300, 65300, 77404, 77404, 77404, 59478, 59478, 59478, 66985, 66985, 66985, 55665, 51120, 50825, 51120, 50825, 51120, 73355, 66498, 66498, 68804, 68804, 68804, 60097, 60097, 60097, 53945, 51197, 50933, 51197, 50933, 51197, 50933, 50443, 50956, 51309, 50956, 51309, 50956, 51309, 55989, 63279, 63279, 63893, 60097, 60097, 75280, 64569, 64569, 65390, 51234, 52169, 50290, 52169, 50290, 51006, 55895, 51172, 50900, 51172, 50900, 51172, 50455, 50861, 60097, 60097, 67954, 51277, 50899, 51277, 50899, 66983, 50956, 73356, 73356, 50825, 55881, 50827, 51197, 50827, 51197, 50827, 50956, 50933, 50956, 50933, 50956, 50933, 56363, 74941, 74941, 63893, 63893, 63893, 73356, 68804, 68804, 60417, 51405, 51260, 50331, 51260, 50331, 52688, 51234, 50933, 51234, 50933 ]
[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 11, 230, 538, 6, 4246, 41, 21979, 8669, 8, 13305, 4, 20, 2125, 7630, 6568, 10, 4845, 119, 27633, 8, 1372, 5466, 6, 19, 17878, 9, 657, 8, 26545, 4, 85, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 5, 40286, 230, 8, 274, 8165, 5705, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 56546, 67661, 76640, 70197, 56919, 50900, 50846, 51085, 69245, 51581, 50296, 59662, 50876, 50841, 50968, 62088, 69730, 56788, 50900, 67885, 50813, 51085, 50833, 51315, 52729, 50902, 65615, 65039, 78858, 55900, 50899, 62221, 51537, 50294, 50810, 51050, 67973, 50931, 70248, 61420, 59815, 53401, 50899, 62221, 51609, 50294, 50810, 51050, 53140, 50968, 77358, 50839, 50968, 59304, 60949, 50916, 60924, 50813, 51315, 50854, 51026, 54678, 68355, 50951, 61687, 61381, 70455, 61930, 51689, 50296, 50844, 51026, 50833, 51601, 50877, 59903, 60982, 62141, 63144, 72503, 62154, 60701, 75198, 51377, 51027, 51377, 51247, 51295, 51050, 51295, 50876, 51285, 50931, 50918, 50999, 51103, 50876, 51184, 50931, 52017, 50999, 51696, 63669, 52885, 51059, 50419, 50877, 50908, 50876, 50891, 50931, 50891, 50877, 52666, 50316, 73990, 56423, 60879, 50791, 53578, 50877, 50928, 50876, 50908, 50931, 50908, 50877, 79986, 73990, 56914, 56973, 50877, 62055, 63665, 63665, 64052, 79783, 66445, 51066, 51339, 51932, 51146, 51072, 50871, 51029, 50931, 51761, 50902, 67396, 51331, 58976, 50877, 50870, 50902, 61324, 74197, 68992, 79783, 54220, 53785, 50877, 50908, 50902, 50863, 51247, 51537, 50297, 59772, 71608, 66445, 79783, 54897, 51636, 78201, 61324, 62869, 62141, 63144, 72503, 68992, 51653, 51247, 51159, 51050, 51159, 51062, 52297, 50333, 57055, 51745, 50876, 51472, 50931, 51291, 53005, 58772, 50877, 50908, 50931, 77112, 70202, 70202, 72503, 56423, 59587, 50791, 53851, 50877, 50908, 50877, 50870, 50876, 50870, 50931, 50891, 50876, 72503, 56423, 56721, 50877, 77112, 64743, 64743, 66445, 73990, 69666, 50803, 50999, 66728, 65066, 50806, 51279, 51734, 50301, 64019, 54589, 57859, 50877, 50908, 50876, 50891, 50931, 50908, 50877, 52666, 50316, 64743, 52640, 50321, 67652, 51033, 50951, 51045, 50861, 65036, 53736, 50877, 75653, 50928, 50931, 50982, 50877, 54191, 50316, 53529, 50321, 54191, 50316, 50882, 50931, 50950, 50871, 53936, 50304, 54065, 50817, 56229, 51933, 50902, 52017, 50415, 50906, 74943, 69686, 63665, 64052, 79783, 51604, 50290, 51134, 50997, 51134, 50931, 51218, 51081, 51141, 50902, 68488, 52282, 50951, 51352, 51081, 51585, 50997, 52266, 50861, 52442, 53005, 61993, 50906, 50928, 50902, 50908, 50931, 50982, 50906, 53529, 50318, 52666, 50321, 61315, 60879, 50791, 53578, 50906, 74572, 50870, 50931, 50891, 50906, 71608, 72503, 62774, 51551, 50899, 52282, 50791, 56973, 50906, 74943, 79163, 66548, 63665, 63144, 63699, 52195, 50871, 52266, 50816, 54589, 58976, 50906, 50908, 50902, 50908, 50902, 50891, 50931, 50908, 50906, 52666, 50321, 56914, 53785, 50906, 74572, 78226, 62774, 72503, 73990, 51954, 50285, 50878, 51050, 50878, 53583, 57512, 50906, 64237, 74197, 64134, 63699, 79783, 51604, 50290, 51109, 50997, 51109, 52963, 58772, 50906, 50870, 50902, 68520, 74197, 68992, 79783, 54220, 59587, 50791, 53851, 50906, 50870, 50902, 66876, 79929, 74197, 68992, 54220, 56721, 50906, 69771, 61666, 62675, 50809, 62419, 51146, 50833, 71702, 71774, 51081, 51033, 51146, 62054, 51194, 50871, 51124, 53492, 51400, 51234, 51400, 50997, 60959, 51091, 50816, 51331, 57859, 50877, 64559, 65147, 59772, 63287, 60982, 67144, 51682, 50301, 72474, 50808, 73568, 63558, 51062, 56022, 53736, 50861, 63484, 61549, 60102, 61752, 61339, 63271, 63297, 51689, 50299, 50810, 66736, 71829, 50997, 51056, 50843, 50961, 51601, 50877, 64911, 61540, 63700, 60982, 60982, 63144, 68992, 60365, 50940, 50877, 50921, 51050, 51173, 51027, 51192, 80237, 50871, 51363, 51247, 51241, 51050, 51241, 50931, 51127, 68275, 50999, 51047, 50931, 51655, 50999, 51264, 50876, 51307, 52963, 61993, 50877, 52666, 50313, 64743, 64743, 66445, 73990, 55181, 60879, 50791, 53578, 50877, 50908, 50876, 50870, 50931, 77112, 52666, 50316, 72503, 55181, 56973, 50877, 63700, 60982, 60982, 63144, 68992, 64052, 50803, 62721, 51339, 50882, 50871, 61818, 72712, 65678, 51331, 58976, 50877, 59903, 65301, 65301, 60553, 68992, 64052, 52640, 50329, 50811, 51339, 53819, 50309, 51033, 51028, 50823, 50931, 55589, 53785, 50877, 59903, 59086, 61666, 63144, 63699, 63144, 52640, 50280, 50844, 51085, 50844, 51146, 50950, 51339, 50950, 50871, 51033, 50902, 53936, 50321, 51138, 52963, 57512, 50877, 66731, 71808, 65147, 62869, 64052, 64052, 51483, 51062, 51379, 51339, 51379, 51247, 79972, 59782, 51745, 50931, 51541, 50876, 51541, 52963, 58772, 50877, 50908, 50876, 50863, 50931, 50863, 50877, 70202, 66445, 54220, 59587, 50791, 53851, 50877, 50908, 50876, 50870, 50931, 77112, 70202, 72503, 55181, 56721, 50877, 68917, 69666, 69666, 68992, 79783, 61316, 63720, 52035, 50325, 65066, 50975, 51279, 51267, 51027, 51267, 50816, 51331, 57859, 50877, 50908, 50876, 77112, 52666, 50316, 64743, 52640, 50321, 52666, 50321, 74623, 51033, 50951, 59021, 54589, 53736, 50877, 50982, 50877, 54191, 50316, 54191, 50316, 52666, 50321, 54191, 50321, 79986, 51045, 50931, 51045, 50900, 51505, 50871, 66363, 50817, 51601, 50906, 62378, 59086, 61666, 60553, 72503, 51764, 50290, 51351, 50997, 51351, 50931, 51295, 51081, 51218, 50902, 51218, 50906, 52827, 50951, 52827, 50931, 51161, 51081, 51161, 50902, 51161, 50997, 54055, 50861, 56769, 56464, 61993, 50906, 50908, 50902, 50891, 50906, 71608, 79783, 53529, 50321, 56914, 60879, 50791, 53578, 50906, 50928, 50906, 50908, 50902, 50908, 50902, 50870, 50931, 52666, 50321, 71608, 52195, 50899, 52282, 50791, 56973, 50902, 69686, 62823, 63665, 64052, 72503, 68992, 51274, 50871, 51685, 50816, 51331, 58976, 50906, 74572, 78226, 71608, 72503, 73990, 55181, 53785, 50906, 77367, 68520, 74197, 68992, 79783, 51604, 50285, 50878, 51050, 50878, 52358, 57512, 50902, 68520, 64237, 64134, 68992, 52666, 50321, 52081, 50290, 51807, 50302, 51003, 52963, 58772, 50906, 50908, 50902, 78226, 71608, 72503, 79783, 55181, 59587, 50791, 53851, 50906, 74572, 50891, 50906, 71608, 79783, 79783, 55181, 56721, 50871, 65633, 60762, 51804, 50326, 65982, 50844, 66768, 62419, 60158, 63009, 71216, 51081, 51045, 51146, 70717, 51345, 51234, 51109, 50997, 51109, 50997, 51157, 50816, 51331, 57859, 50871, 61123, 59772, 63287, 66393, 79969, 51682, 50301, 72474, 50800, 60124, 61133, 57947, 59855, 74104, 51062, 52744, 53736, 50871, 64470, 61549, 66813, 61549, 63947, 65633, 65818, 70274, 61339, 50844, 69084, 51026, 50925, 71829, 50997, 59156, 50817, 51601, 50877, 63700, 60365, 51121, 50871, 51309, 75640, 50871, 51411, 51050, 51734, 50285, 51191, 51050, 51191, 51027, 51204, 50931, 51127, 77113, 50999, 51127, 50931, 51036, 50999, 74183, 51655, 53005, 61993, 50877, 75653, 66876, 50863, 50877, 79986, 68992, 54220, 60879, 50791, 53578, 50877, 50891, 50876, 50863, 50877, 70202, 66445, 79783, 54220, 56973, 50877, 63700, 60982, 62780, 65615, 63699, 63144, 50803, 71550, 51062, 60246, 61818, 59223, 52677, 52715, 58976, 50877, 59903, 68218, 51764, 50317, 60553, 68992, 64052, 50803, 68768, 51339, 50950, 50871, 52035, 50317, 72712, 57036, 53785, 50877, 72680, 64911, 59086, 63144, 68992, 64052, 50803, 73261, 51339, 50882, 52206, 50878, 51085, 50878, 50871, 70105, 63037, 50911, 52620, 57512, 50876, 64911, 62055, 62869, 63144, 64052, 63144, 51653, 51247, 51312, 51050, 51312, 51062, 52530, 50333, 68669, 51745, 50876, 51661, 50931, 51472, 53005, 58772, 50877, 50863, 50876, 61324, 69666, 68992, 72503, 55316, 59587, 50791 ]
[ 0, 250, 15352, 30054, 5175, 2125, 19, 15855, 16882, 6, 4246, 10, 11739, 9, 38668, 11212, 6, 12280, 3275, 1725, 3109, 6, 3152, 6757, 6, 18558, 6, 8, 21072, 4, 8504, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 211, 119, 6, 274, 6, 163, 428, 6, 8, 274, 31473, 10, 33558, 8, 17627, 17274, 619, 6, 442, 24, 10686, 13, 822, 50, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50799, 73931, 51413, 55523, 51103, 50913, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 50913, 54151, 54443, 77824, 52896, 57914, 51141, 53254, 59450, 53027, 53254, 51090, 50913, 52763, 53298, 77824, 54210, 60082, 51307, 58279, 53363, 55613, 53363, 52983, 53898, 74793, 63150, 53070, 50913, 52670, 50913, 54151, 50913, 52896, 50913, 53027, 50913, 52763, 50913, 54210, 74793, 50799, 73931, 51472, 55523, 51077, 50913, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 50913, 54151, 54443, 77824, 52896, 57914, 51364, 53254, 51141, 50913, 53027, 53298, 50896, 50913, 52763, 53514, 77824, 54210, 60082, 51655, 55613, 51264, 52983, 53363, 52509, 51469, 74793, 63150, 53070, 50913, 52670, 50913, 54151, 50913, 52896, 50913, 53027, 50913, 52763, 50913, 54210, 74793, 50799, 73931, 51472, 55523, 51077, 51105, 51285, 52471, 50894, 56141, 55121, 52535, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 52471, 50894, 56141, 78357, 54151, 54443, 77824, 52896, 57914, 51364, 53254, 60277, 51274, 53909, 50894, 59680, 78357, 53027, 53254, 51090, 50913, 52763, 53298, 77824, 54210, 60082, 51655, 58279, 53363, 55613, 53363, 52983, 53898, 50945, 51469, 52471, 50894, 56141, 56460, 50837, 63150, 53070, 52547, 50894, 55803, 56460, 52670, 50913, 54151, 52547, 50894, 55803, 56460, 52896, 50913, 53027, 52547, 50962, 55803, 56460, 52763, 50913, 54210, 52547, 50894, 55803, 56460, 50837, 50799, 73931, 51472, 55523, 51077, 51105, 51285, 52471, 50962, 56141, 56460, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 52471, 50894, 56141, 56460, 54151, 54443, 77824, 52896, 57914, 51294, 53254, 51141, 50953, 51274, 53909, 50894, 59680, 56460, 53027, 53298, 50896, 50913, 52763, 53514, 50806, 52471, 50894, 56141, 56460, 54210, 60082, 54454, 55613, 51264, 52983, 53363, 52509, 51469, 50945, 51469, 52547, 50894, 55803, 51014, 74793, 63150, 53070, 51676, 80144, 52670, 52317, 50879, 52547, 51692, 55803, 51677, 50913, 54151, 51676, 71099, 52896, 52317, 65129, 53027, 52317, 64585, 52763, 50913, 66222, 53146, 52863, 51982, 51294, 74793, 50799, 73931, 51472, 55523, 51077, 51105, 51285, 51938, 50875, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 51938, 50875, 54151, 54443, 77824, 52896, 57914, 51364, 53254, 60277, 51274, 51938, 50875, 53027, 53254, 51090, 50913, 52763, 53298, 50806, 51938, 50875, 54210, 60082, 51655, 58279, 53363, 55613, 53363, 52983, 53898, 50945, 51469, 74793, 51755, 53301, 53070, 50913, 52670, 52317, 50910, 51938, 50875, 54151, 50913, 52896, 52317, 50830, 51938, 50875, 53027, 50913, 52763, 51859, 50938, 51938, 50875, 54210, 51676, 51091, 74793, 50799, 73931, 51336, 55523, 51364, 51105, 51285, 51938, 50875, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 51938, 50875, 54151, 54443, 77824, 52896, 60082, 51364, 55523, 51226, 50945, 51226, 51938, 50875, 53027, 54443, 51055, 50913, 52763, 53514, 50921, 51938, 50875, 54210, 64770, 51655, 53254, 51264, 52983, 53363, 53514, 51469, 51096, 51469, 74793, 51755, 53301, 53070, 51676, 55065, 52670, 52317, 50879, 51938, 50875, 54151, 51676, 55065, 52896, 51982, 50948, 51938, 50875, 53027, 51829, 69046, 52763, 51938, 50875, 54210, 52317, 51356, 74793, 50799, 73931, 51472, 55523, 51077, 51105, 51285, 51938, 50875, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 51938, 50875, 54151, 54443, 77824, 52896, 57914, 51364, 53254, 51141, 50953, 51274, 51938, 50875, 53027, 53298, 50896, 50913, 52763, 53514, 50806, 51938, 50875, 54210, 52317, 51227, 60082, 51655, 55613, 51264, 52983, 53363, 52509, 51469, 50945, 51469, 74793, 51755, 53301, 53070, 52317, 50910, 50913, 52670, 52317, 50879, 51938, 50875, 54151, 51676, 65129, 52896, 51982, 51192, 51938, 50875, 53027, 51829, 51060, 50913, 52763, 52317, 50924, 51938, 50875, 54210, 52317, 51013, 74793, 50799, 64770, 51472, 52983, 50896, 51096, 51285, 51938, 50875, 53070, 51859, 50830, 53293, 51226, 50913, 52670, 51982, 50808, 53514, 51160, 51938, 50875, 54151, 51982, 50808, 52983, 50806, 51262, 56460, 52896, 51982, 50795, 66208, 51336, 50927, 51196, 51938, 50875, 53027, 51829, 51048, 52983, 50889, 50913, 52763, 53254, 50889, 51938, 50875, 54210, 52317, 51016, 53298, 50805, 51250, 56460, 50837, 50799, 73931, 51472, 55523, 51077, 51105, 51285, 51938, 50875, 53070, 52463, 50910, 53514, 51274, 51250, 57793, 52670, 52983, 50896, 51938, 50875, 54151, 54443, 50806, 51513, 57793, 52896, 57914, 51364, 53254, 51141, 50953, 51274, 51938, 50875, 53027, 53298, 50896, 51250, 57793, 52763, 53514, 50806, 51938, 50875, 54210, 60082, 51655, 55613, 51264, 52983, 53363, 52509, 51469, 50945, 51469, 51262, 57793, 50837, 51755, 53301, 53070, 52317, 51215, 51262, 57793, 52670, 51938, 50875, 54151, 52317, 50807, 51262, 57793, 50837, 51658, 53301, 53027, 51859, 50800, 51262, 57793, 52763, 51859, 50840, 51676, 51346, 51938, 50875, 54210, 51262, 57793, 50837, 50799, 51859, 50821, 73931, 51472, 55523, 51472, 51105, 51285, 51938, 50875, 53070, 53514, 51226, 51250, 57793, 52670, 52983, 50896, 51938, 50875, 54151, 54443, 51192, 51513, 57793, 52896, 60082, 51294, 55613, 51226, 50945, 51274, 51938, 50875, 53027, 52983, 50980, 51262, 57793, 52763, 52509, 50936, 51938, 50875, 54210, 57914, 51655, 53254, 51264, 53298, 51264, 53514, 51469, 50953, 51469, 51250, 57793, 50837, 51755, 53301, 53070, 51676, 50858, 51250, 57793, 52670, 52317, 50893, 51938, 50875, 54151, 51676, 50859, 51250, 53301, 54034, 51250, 59266, 51982, 50936, 51195, 55024, 53301, 53027, 51829, 50948, 51250, 57793, 52763, 51195, 55461, 53301, 54210, 52317, 51362, 51223, 57793, 50837, 50799, 73931, 51472, 55523, 51077, 51105, 51285, 51436, 55461, 53301, 53070, 53514, 51274, 51436, 56460, 52670, 52983, 50896, 51938, 50875, 54151, 54443, 50806, 51436, 56460, 52896, 57914, 51294, 53254, 51141, 50953, 51274, 51938, 50875, 53027, 53298, 50896, 51436, 56460, 52763, 53514, 50806, 51938, 50875, 54210, 60082, 54454, 55613, 51264, 52983, 53363, 52509, 51469, 50945, 51469, 51436, 57793, 50837, 79255, 50948, 51938, 50875, 53070, 52317, 50830, 51262, 57793, 52670, 52317, 50879, 51938, 50875, 54151, 51676, 50858, 51262, 56460, 52896, 51982, 51286, 51938, 50875, 53027, 51829, 51111, 51262, 56460, 52763, 52317, 50952, 51938, 50875, 54210, 52317, 51977, 51262, 56460, 50837, 50799, 55523, 51264, 53514, 51191, 51186, 51160, 51722, 51717, 51612, 51717, 52037, 51717, 52443, 51285, 51938, 50875, 53070, 54464, 51285, 50913, 52670, 53293, 51274, 51186, 50980, 52342, 51300, 51938, 50875, 54151, 53514, 51189, 52044, 51059, 50913, 52896, 51186, 50980, 52443, 51285, 51938, 50875, 53027, 54464, 51285, 50913, 52763, 53293, 51274, 51186, 50980, 52342, 51300, 51938, 50875, 54210, 53514, 51413, 52044, 51059, 74793, 50799, 50741, 50300, 51264, 51325, 50980, 52443, 51285, 51938, 50875, 53070, 54464, 51285, 50913, 52670, 53293, 51274, 51325, 51160, 52342, 51300, 51938, 50875, 54151, 53514, 51189, 52044, 51059, 50913, 52896, 51325, 50980, 52443, 51196, 51938, 50875, 53027, 52317, 51033, 54464, 51285, 50804, 54016, 52763, 52317, 50936, 53293, 50896, 76907, 52342, 50824, 57007, 54016, 54210, 52463, 51290, 53514, 50849, 78799, 52044, 51812, 52245, 50837, 52198, 50818, 50799, 53254, 51307, 53514, 50887, 53293, 50887, 54410, 51655, 50953, 51192, 52290, 51151, 53755, 51717, 52049, 51469, 52044, 50821, 52205 ]
[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 2214, 7630, 6568, 10, 25306, 5466, 6, 13869, 26545, 8, 22845, 41708, 4, 20, 2352, 6757, 8, 38668, 6820, 483, 5, 33301, 6, 2800, 30, 5, 364, 38537, 23225, 9, 2236, 1021, 2678, 29, 6, 18558, 10, 25118, 6, 8, 38668, 18569, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 8, 20307, 23, 41, 1614, 1073, 1020, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 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 ]	[ 57528, 50799, 55062, 50859, 52770, 50859, 53628, 50859, 56469, 50859, 60058, 50859, 57281, 50859, 56445, 50859, 54602, 59176, 57147, 50859, 51831, 50859, 53628, 50859, 56469, 50859, 60058, 50859, 57281, 50859, 55128, 50859, 56283, 54681, 54414, 51215, 51652, 51215, 52608, 51215, 56469, 51215, 60058, 51215, 56445, 51215, 54602, 51215, 55339, 51215, 50429, 54812, 50859, 52522, 50859, 52608, 50859, 56469, 50859, 60058, 50859, 56445, 50859, 57719, 50859, 55010, 53974, 53250, 50879, 52522, 50879, 52394, 50879, 56469, 50879, 60058, 50879, 54977, 50879, 57719, 50879, 54391, 55122, 54414, 51073, 51652, 51073, 52608, 51073, 56469, 51073, 60058, 51073, 56445, 51073, 54602, 51073, 55339, 69556, 54414, 50859, 51652, 50859, 52608, 50859, 56469, 50859, 60058, 50859, 56445, 50859, 54602, 50859, 55339, 59682, 54414, 50859, 51652, 50859, 52608, 50859, 56469, 50859, 60058, 50859, 56445, 50859, 54602, 50859, 55339, 54418, 53250, 51215, 52185, 51215, 52608, 51215, 56381, 51215, 57483, 51215, 56445, 51215, 56283, 51215, 54391, 51215, 70814, 54414, 50924, 52185, 50924, 52228, 50924, 56381, 50924, 57483, 50924, 55546, 50924, 56283, 50924, 55339, 57316, 53077, 51073, 52185, 51073, 51978, 51073, 56381, 51073, 57483, 51073, 55128, 51073, 56283, 51073, 54304, 69052, 53250, 51472, 52185, 51472, 52608, 51472, 56381, 51472, 57483, 51472, 56445, 51472, 56283, 51472, 54391, 51472, 50462, 53250, 51073, 51667, 51073, 51978, 51073, 54833, 51073, 56301, 51073, 55128, 51073, 55010, 51073, 54391, 51073, 50474, 53077, 51294, 52185, 51294, 51978, 51294, 55329, 51294, 57281, 51294, 55128, 51294, 56283, 51294, 54304, 51294, 70814, 53250, 50924, 52185, 50924, 52608, 50924, 55329, 50924, 57281, 50924, 56445, 50924, 56283, 50924, 54391, 57316, 54414, 51073, 51652, 51073, 52608, 51073, 55329, 51073, 57281, 51073, 56445, 51073, 54602, 51073, 55339, 69052, 57147, 51073, 51831, 51073, 52228, 51073, 55329, 51073, 57281, 51073, 55546, 51073, 55128, 51073, 56283, 69556, 54414, 51073, 51831, 51073, 52228, 51073, 55329, 51073, 57281, 51073, 55546, 51073, 55128, 51073, 55339, 51073, 50462, 57147, 51073, 51831, 51073, 53628, 51073, 55329, 51073, 57281, 51073, 57281, 51073, 55128, 51073, 56283, 51073, 50474, 55062, 51655, 52770, 51655, 53628, 51655, 56469, 51655, 60058, 51655, 57281, 51655, 56445, 51655, 54602, 51655, 51474, 50462, 55062, 50924, 52770, 50924, 53628, 50924, 56469, 50924, 60058, 50924, 57281, 50924, 56445, 50924, 54602, 50924, 50468, 57147, 50924, 51831, 50924, 53628, 50924, 56469, 50924, 60058, 50924, 57281, 50924, 55128, 50924, 56283, 50924, 50474, 54414, 51294, 51652, 51294, 52608, 51294, 56469, 51294, 60058, 51294, 56445, 51294, 54602, 51294, 55339, 51294, 70814, 54812, 50924, 52522, 50924, 52608, 50924, 56469, 50924, 60058, 50924, 56445, 50924, 57719, 50924, 55010, 57316, 53250, 51073, 52522, 51073, 52394, 51073, 56469, 51073, 60058, 51073, 54977, 51073, 57719, 51073, 54391, 69052, 54414, 51472, 51652, 51472, 52608, 51472, 56469, 51472, 60058, 51472, 56445, 51472, 54602, 51472, 55339, 51472, 50462, 54414, 50924, 51652, 50924, 52608, 50924, 56469, 50924, 60058, 50924, 56445, 50924, 54602, 50924, 55339, 50924, 50468, 54414, 50924, 51652, 50924, 52608, 50924, 56469, 50924, 60058, 50924, 56445, 50924, 54602, 50924, 55339, 50924, 50474, 53250, 51294, 52185, 51294, 52608, 51294, 56381, 51294, 57483, 51294, 56445, 51294, 56283, 51294, 54391, 51294, 70814, 54414, 50924, 52185, 50924, 52228, 50924, 56381, 50924, 57483, 50924, 55546, 50924, 56283, 50924, 55339, 57316, 53077, 51073, 52185, 51073, 51978, 51073, 56381, 51073, 57483, 51073, 55128, 51073, 56283, 51073, 54304, 69052, 53250, 51472, 52185, 51472, 52608, 51472, 56381, 51472, 57483, 51472, 56445, 51472, 56283, 51472, 54391, 51472, 50462, 53250, 50924, 51667, 50924, 51978, 50924, 54833, 50924, 56301, 50924, 55128, 50924, 55010, 50924, 54391, 50924, 50468, 53250, 50924, 51667, 50924, 51978, 50924, 54833, 50924, 56301, 50924, 55128, 50924, 55010, 50924, 54391, 50924, 50474, 53077, 51294, 52185, 51294, 51978, 51294, 55329, 51294, 57281, 51294, 55128, 51294, 56283, 51294, 54304, 51294, 70814, 53250, 50924, 52185, 50924, 52608, 50924, 55329, 50924, 57281, 50924, 56445, 50924, 56283, 50924, 54391, 57316, 54414, 51073, 52185, 51073, 52228, 51073, 55329, 51073, 57281, 51073, 55546, 51073, 56283, 51073, 55339, 69052, 56853, 51073, 51643, 51073, 52228, 51073, 55329, 51073, 57281, 51073, 55546, 51073, 54391, 51073, 62882, 69556, 53863, 51073, 51721, 51073, 52608, 51073, 55329, 51073, 57281, 51073, 56445, 51073, 55339, 51073, 55849, 51073, 50462, 53407, 51073, 52185, 51073, 52228, 51073, 55329, 51073, 57281, 51073, 55546, 51073, 56283, 51073, 56146, 51073, 50474, 53777, 51655, 51652, 51655, 52608, 51655, 56469, 51655, 60058, 51655, 56445, 51655, 54602, 51655, 56967, 51655, 51474, 50462, 53077, 50924, 51831, 50924, 53628, 50924, 55329, 50924, 57281, 50924, 57281, 50924, 55128, 50924, 54304, 50924, 50468, 53777, 50924, 51652, 50924, 53628, 50924, 55329, 50924, 57281, 50924, 57281, 50924, 54602, 50924, 56967, 50924, 50474, 53407, 51294, 52185, 51294, 52228, 51294, 55329, 51294, 57281, 51294, 55546, 51294, 56283, 51294, 56146, 51294, 70814, 53407, 50924, 52185, 50924, 52228, 50924, 55329, 50924, 57281, 50924, 55546, 50924, 56283, 50924, 56146, 57316, 53407, 51073, 52185, 51073, 52228, 51073, 55329, 51073, 57281, 51073, 55546, 51073, 56283, 51073, 56146, 69052, 53407, 51073, 52185, 51472, 52228, 51013, 55329, 51472, 55546, 51073, 56146, 51073, 57281, 51472, 56283, 51472, 50450, 53777, 51073, 52394, 51073, 54977, 51073, 56967, 51073, 50462, 53077, 51073, 52185, 51073, 53628, 51073, 55329, 51073, 57281, 51073, 57281, 51073, 56283, 51073, 54304, 51073, 50474, 53777, 51655, 51652, 51073, 53628, 51073, 56469, 51073, 60058, 51073, 57281, 51073, 54602, 51073, 56967, 51655, 51540, 52522, 51073, 53880, 51073, 56469, 51073, 60058, 51073, 57862, 51073, 57719, 69555, 52185, 51073, 52394, 51073, 56469, 51073, 60058, 51073, 54977, 51073, 56283, 69052, 51652, 51472, 53628, 51472, 56469, 51472, 60058, 51472, 57281, 51472, 54602, 51472, 50462, 53777, 50924, 51721, 50924, 52608, 50924, 55291, 50924, 56487, 50924, 56445, 50924, 55339, 50924, 56967, 50924, 50468, 53077, 50924, 51721, 50924, 52608, 50924, 55291, 50924, 56487, 50924, 56445, 50924, 55339, 50924, 54304, 50924, 50474, 53250, 51294, 52185, 51294, 52608, 51294, 56381, 51294, 57483, 51294, 56445, 51294, 56283, 51294, 54391, 51294, 70814, 53250, 50924, 52185, 50924, 52608, 50924, 56381, 50924, 57483, 50924, 56445, 50924, 56283, 50924, 54391, 57316, 53250, 51073, 52185, 51073, 52608, 51073, 56381, 51073, 57483, 51073, 56445, 51073, 56283, 51073, 54391, 69052, 53777, 51073, 51643, 51073, 52608, 51073, 56381, 51073, 57483, 51073, 56445, 51073, 54391, 51073, 56967, 69556, 53077, 51073, 51721, 51073, 52608, 51073, 56381, 51073, 57483, 51073, 56445, 51073, 55339, 51073, 54304, 51073, 50462, 53250, 51073, 52185, 51073, 52608, 51073, 56381, 51073, 57483, 51073, 56445, 51073, 56283, 51073, 54391, 51073, 50474, 54414, 51655, 51652, 51655, 52608, 51655, 56469, 51655, 60058, 51655, 56445, 51655, 54602, 51655, 55339, 51655, 51474, 50462, 54414, 50924, 51652, 50924, 52608, 50924, 56469, 50924, 60058, 50924, 56445 ]
[ 0, 713, 17627, 17274, 5175, 3152, 2214, 6, 278, 11, 5, 762, 9, 272, 538, 6, 1931, 21683, 10, 2365, 8, 33558, 16464, 4, 20, 3152, 6757, 1239, 5, 483, 6, 2800, 30, 2382, 3459, 8669, 6, 18558, 18046, 6, 38668, 11212, 6, 8, 3459, 9590, 6, 2351, 10, 15352, 30054, 8, 1313, 5466, 4, 590, 10, 7212, 20889, 9, 16970, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 5705, 25935, 1626, 227, 5, 40286, 1918, 406, 8, 211, 406, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50903, 56571, 76660, 56571, 51003, 60859, 64445, 50932, 51768, 56571, 76660, 64445, 50932, 51955, 56571, 51003, 64699, 51573, 51676, 51790, 51829, 51790, 52328, 51790, 51938, 51015, 51049, 55701, 51039, 51049, 50822, 50909, 50974, 50421, 53455, 50800, 55209, 50942, 52301, 50925, 51953, 55440, 51092, 51033, 51020, 75478, 63390, 78717, 51739, 57373, 72883, 52241, 50976, 53080, 51015, 51373, 51049, 50822, 58876, 50433, 53455, 50836, 51953, 50844, 55209, 51008, 52301, 58927, 55209, 50959, 51953, 50878, 51495, 54285, 55024, 51049, 55701, 63344, 50439, 51598, 51138, 53455, 50836, 52301, 50833, 51083, 57816, 51598, 50806, 53455, 50910, 52301, 50910, 55209, 50987, 51953, 50977, 51061, 72197, 65448, 53558, 55023, 52153, 51049, 50822, 50868, 53567, 51676, 51194, 51829, 51194, 52328, 51194, 59611, 51049, 51739, 55305, 72145, 51061, 58954, 51598, 51012, 53080, 51015, 51373, 51049, 50822, 50909, 64459, 53455, 50921, 55209, 50917, 52301, 50865, 51953, 50865, 51083, 50971, 61697, 51496, 51859, 51134, 51617, 51134, 51982, 51391, 54609, 51307, 52949, 51307, 51914, 51307, 51061, 51541, 51083, 69561, 52651, 55023, 51739, 51049, 62501, 51083, 50975, 51039, 51049, 50907, 50872, 50974, 50421, 51118, 50917, 53327, 50907, 51302, 51907, 51420, 51739, 63815, 51210, 50427, 51282, 52765, 50801, 52749, 65436, 51282, 50993, 51061, 51566, 51083, 50889, 53080, 51610, 52153, 51049, 54592, 50579, 55582, 71484, 51617, 51203, 50435, 51859, 51255, 50436, 51982, 54993, 51875, 51573, 52962, 51049, 50822, 60173, 53012, 57138, 51982, 50911, 51976, 51049, 54592, 50576, 72343, 73696, 55854, 50801, 52848, 51859, 50849, 77214, 51061, 70693, 54627, 56055, 51420, 50894, 51340, 55801, 50858, 57902, 50453, 51224, 51754, 51875, 50802, 51617, 50812, 51557, 51505, 53080, 56766, 66233, 53365, 50872, 56551, 51289, 50907, 59256, 51029, 51859, 51894, 51676, 51894, 52333, 51894, 51982, 51894, 54609, 51264, 53455, 51264, 53144, 51264, 51914, 51264, 51690, 52503, 54294, 58306, 51938, 51015, 51049, 55701, 50415, 51595, 50845, 51402, 51022, 51039, 51049, 50822, 50872, 71481, 51083, 50882, 51510, 55124, 51208, 51045, 51061, 50924, 50903, 63390, 78717, 51739, 55305, 51008, 50427, 51083, 50976, 51532, 55011, 52607, 50823, 53080, 51015, 51373, 51049, 50822, 60173, 50433, 51595, 50933, 51556, 55707, 51598, 51014, 51938, 51015, 51049, 55701, 50935, 50959, 50439, 51083, 50824, 51572, 57138, 51598, 50860, 51061, 66630, 55024, 55023, 53474, 51420, 51049, 51022, 60173, 51618, 55814, 51676, 54566, 78717, 51739, 50822, 55806, 50451, 51089, 50976, 51647, 51022, 50454, 52333, 57313, 51598, 52651, 53530, 53119, 51594, 51049, 50822, 58442, 50457, 51982, 50925, 69360, 52198, 51420, 51022, 50460, 52836, 50855, 64699, 51573, 51676, 51538, 51829, 51538, 52328, 51538, 51938, 51015, 68692, 61531, 56025, 51118, 57242, 53455, 51060, 55209, 51043, 52301, 51194, 51953, 62400, 51049, 50822, 50909, 50974, 50421, 51118, 55447, 51092, 51033, 51020, 75478, 63390, 78717, 51739, 57373, 51210, 50427, 51118, 56257, 52241, 50976, 53455, 51110, 55209, 51363, 52301, 51116, 51953, 51400, 53080, 51015, 51373, 51049, 50822, 58876, 50433, 51118, 51407, 51658, 55024, 51049, 55701, 63344, 50439, 51598, 73136, 51598, 50806, 51676, 51212, 55209, 51233, 53455, 51178, 52301, 51116, 51953, 51221, 51020, 65448, 53558, 55023, 52153, 51049, 50822, 50868, 53567, 52328, 51242, 59611, 51049, 51739, 55305, 55370, 51598, 51012, 55209, 50892, 53455, 50849, 52301, 50849, 51953, 50892, 53080, 51015, 51373, 51049, 50822, 50909, 64459, 51829, 50865, 61697, 51029, 51859, 50983, 51617, 50983, 51829, 50983, 51982, 50983, 54491, 51352, 51061, 51541, 51118, 69561, 52651, 55023, 51739, 55701, 50415, 51555, 51352, 51039, 51049, 50822, 50872, 50974, 50421, 52301, 50800, 54609, 50878, 52949, 50942, 51914, 50925, 51768, 78717, 51739, 57708, 72883, 51875, 51045, 51061, 51566, 51118, 50889, 53080, 51015, 58713, 52153, 51049, 50822, 58440, 50433, 52301, 50836, 54609, 50844, 52949, 51008, 51914, 58927, 51507, 50921, 54609, 50878, 52949, 50959, 51982, 64270, 52651, 51049, 55701, 60173, 50439, 52301, 50836, 51914, 54207, 51507, 51138, 52301, 50910, 51914, 50910, 54609, 50977, 52949, 50987, 51859, 70812, 52218, 51373, 51049, 50822, 50885, 53567, 51617, 51112, 51118, 50805, 51061, 70693, 76132, 78717, 51739, 55582, 72145, 54491, 50975, 50452, 51555, 59315, 51507, 50894, 51829, 50987, 53080, 51015, 51373, 51049, 50822, 59228, 50457, 52301, 50921, 54609, 50865, 52949, 50917, 51914, 50865, 60506, 50810, 59256, 51573, 55646, 50975, 51208, 50930, 51061, 53097, 55024, 51049, 55701, 50415, 51859, 51945, 51676, 51945, 52333, 51945, 51982, 51945, 51783, 50975, 51039, 51049, 50822, 50935, 50974, 50421, 51083, 61001, 51208, 50930, 51061, 55023, 63390, 78717, 51739, 55029, 51210, 50427, 55646, 50976, 71830, 51783, 60648, 51598, 50976, 54609, 50808, 53455, 50808, 53144, 50808, 51914, 52423, 53530, 51373, 51049, 50822, 58876, 50433, 51401, 72759, 54707, 50860, 51938, 51015, 51049, 55701, 50935, 70327, 51507, 51138, 51083, 51014, 52041, 56059, 51507, 50806, 54609, 50812, 53455, 50812, 53144, 50812, 51914, 50812, 51208, 74496, 58546, 55023, 52153, 51049, 50822, 60173, 50445, 55646, 50975, 51083, 51030, 50446, 51783, 50975, 72113, 51049, 51739, 55305, 72145, 51401, 56934, 51507, 51012, 54491, 51407, 53080, 51015, 51373, 51049, 50822, 50935, 64459, 51555, 51407, 61697, 51573, 51859, 51894, 51617, 51894, 51829, 51894, 51982, 51894, 51118, 51379, 51061, 51541, 51118, 69561, 52651, 55023, 51739, 55701, 78594, 51282, 62706, 51049, 50822, 50872, 50974, 51768, 78717, 51739, 57708, 51210, 50427, 51118, 60648, 51507, 50976, 54609, 50808, 52949, 50808, 52301, 50808, 51914, 50808, 51061, 51566, 51118, 50889, 51282, 51496, 53080, 51015, 58713, 52153, 51049, 50822, 50848, 57455, 50852, 50912, 51658, 52651, 51049, 55701, 60173, 50439, 51785, 73136, 51785, 50806, 54609, 50812, 52949, 50812, 52301, 50812, 51914, 53097, 68692, 50822, 50885, 53567, 51982, 50878, 54491, 50976, 51118, 50805, 51061, 70693, 76132, 78717, 51739, 55582, 72145, 51555, 50976, 50454, 51859, 57313, 51785, 51012, 53080, 51015, 51373, 51049, 50822, 59228, 50457, 51617, 50925, 60506, 63849, 51982, 50855, 59256, 51029, 52333, 51047, 51859, 51148, 51676, 51183, 51982, 51047, 55646, 50976, 51938, 51015, 51049, 55701, 51783, 50976, 51039, 51049, 50822, 50872, 56307, 51208, 51033, 51061, 75478, 63390, 78717, 51739, 55305, 51051, 50427, 55646, 50802, 51783, 52030, 51507, 51045, 54609, 50808, 53455, 50808, 53144, 50808, 51914, 52423, 53530, 51373, 51049, 50822, 60578, 50433, 51557, 51388, 50437, 54707, 52125, 51598, 50921, 51595, 50873, 51938, 51015, 51049, 55701, 50935, 50933, 52041, 52313, 51598, 51138, 54609, 50812, 53455, 50812, 53144, 50812, 51914, 50812, 51859, 51091, 51061, 68679, 50821, 51401, 58493, 55023, 52153, 51049, 50822, 60578, 50445, 55646, 74661, 51783, 58981, 51676, 51500, 59611, 51049, 51739, 55305, 62970, 51118, 52325, 51598, 50894, 52333, 50921, 54491, 51407, 51401, 50978, 53080, 51015, 51373, 51049, 50822, 59228, 51555, 51407, 61697, 51029, 51859, 51134, 51617, 51134, 51829, 51381, 51982, 51391, 54609, 51307, 52949, 51307, 52301, 51307, 51914, 51307, 51118, 51379, 51061, 51541, 51118, 69561, 52651, 55023, 51739 ]
[ 0, 713, 5175, 2214, 6, 19, 10, 11602, 9, 3495, 2712, 6, 16, 10, 15352, 30054, 8, 3366, 219, 15229, 14, 7630, 6568, 10, 1472, 9, 11098, 8, 980, 4, 27901, 10, 3152, 6757, 6, 2724, 368, 31365, 25999, 6, 3459, 9590, 6, 13305, 6, 8, 38668, 20535, 6, 5, 2125, 30853, 23, 41, 1614, 1073, 1020, 20889, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 24, 18, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 272, 119, 406, 6, 163, 428, 73, 347, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50796, 51601, 51050, 50983, 50418, 51027, 51091, 61683, 51091, 50423, 50871, 51112, 79143, 51291, 50428, 51028, 57345, 50931, 51091, 50445, 50999, 51605, 50446, 51399, 51605, 50447, 51339, 51605, 50458, 51814, 51358, 50459, 53684, 51358, 50460, 52956, 51358, 50796, 53975, 50818, 50956, 70215, 74360, 74359, 69811, 61130, 74360, 50818, 50964, 51351, 53857, 50820, 54888, 50820, 52464, 50820, 52685, 50820, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 54200, 51594, 62799, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 58745, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 53425, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 56651, 54196, 59225, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 59890, 50900, 69811, 61130, 74360, 50809, 50964, 50942, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 52784, 52633, 53574, 50900, 69811, 61130, 64122, 50809, 51443, 51562, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 51594, 59117, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 60520, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 53035, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 56651, 54444, 60632, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 60135, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 52784, 52633, 50836, 53975, 69811, 61130, 64122, 74564, 51351, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 51594, 62799, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 58745, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 52905, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 56651, 54444, 59225, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 56720, 50900, 69811, 61130, 64122, 50809, 63635, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 52633, 53574, 50900, 69811, 61130, 64122, 74564, 51295, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 51594, 59117, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 60520, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 53035, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 56651, 51575, 60632, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 57461, 50900, 69811, 61130, 64122, 74564, 50942, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 56332, 50897, 54206, 62060, 64122, 50809, 51096, 51295, 53367, 50813, 52804, 50813, 52685, 52784, 51594, 62799, 50899, 62060, 64122, 50809, 53367, 50813, 52804, 50813, 52685, 51559, 57466, 50899, 62060, 64122, 50809, 53367, 50813, 52804, 50813, 52685, 51559, 50836, 53337, 62060, 64122, 50809, 53367, 50813, 52804, 50813, 52685, 56651, 54196, 59225, 50899, 62060, 64122, 50809, 53367, 50813, 52804, 50813, 52685, 51559, 59890, 50899, 62060, 64122, 50809, 51096, 50942, 53367, 50813, 52804, 50813, 52685, 52784, 50930, 52093, 55203, 62060, 60191, 77537, 51295, 53857, 50813, 52804, 50813, 52197, 52784, 51594, 63954, 50900, 62060, 60191, 50809, 53857, 50813, 52804, 50813, 52197, 51559, 58275, 50900, 62060, 60191, 50809, 53857, 50813, 52804, 50813, 52197, 51559, 53886, 50900, 62060, 60191, 50809, 53857, 50813, 52804, 50813, 52197, 56651, 50921, 52093, 50454, 50900, 62060, 60191, 50809, 53857, 50813, 52804, 50813, 52197, 51559, 60135, 50900, 62060, 60191, 77537, 50942, 53857, 50813, 52804, 50813, 52197, 53800, 50836, 55435, 69584, 61130, 70979, 51295, 50953, 51183, 53774, 50813, 53367, 50813, 52464, 52784, 51594, 62799, 50997, 69584, 61130, 50809, 53774, 50813, 53367, 50813, 52464, 51559, 57466, 50997, 69584, 61130, 50809, 53774, 50813, 53367, 50813, 52464, 51559, 52905, 50997, 69584, 70215, 50809, 53774, 50813, 53367, 50820, 52464, 56651, 54196, 59225, 50997, 69584, 61130, 50809, 53774, 50813, 53367, 50813, 52464, 51559, 59890, 50997, 69584, 61130, 70979, 53454, 53774, 50813, 53367, 50813, 52464, 52784, 52633, 53574, 51086, 69584, 62060, 61130, 50809, 51205, 51295, 58353, 50813, 53367, 50813, 52804, 50813, 52464, 52784, 51594, 59117, 51086, 69584, 62060, 61130, 50809, 58353, 50813, 53367, 50813, 52804, 50813, 52464, 51559, 58275, 51086, 69584, 62060, 61130, 50809, 58353, 50813, 53367, 50813, 52804, 50813, 52464, 51559, 53035, 51086, 69584, 62060, 61130, 50809, 58353, 50813, 53367, 50813, 52804, 50813, 52464, 56651, 50921, 52093, 50454, 51086, 69584, 62060, 61130, 50809, 58353, 50813, 53367, 50813, 52804, 50813, 52464, 51559, 57461, 51086, 71415, 74494, 70215, 50818, 51205, 50977, 58353, 50820, 53367, 50820, 52804, 50820, 52464, 54200, 56332, 50897, 53975, 69811, 61130, 64122, 50809, 50964, 51351, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 51594, 62799, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 58745, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 53425, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 56651, 54444, 59225, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 59890, 50900, 69811, 61130, 74360, 50809, 50964, 50942, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 52784, 52633, 53574, 50900, 69811, 61130, 74360, 50809, 51443, 51295, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 52784, 51594, 63954, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 60520, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 53035, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 56651, 54444, 60632, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 60135, 50900, 69811, 61130, 74360, 70979, 52122, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 52784, 52633, 50836, 53975, 69811, 61130, 64122, 74564, 51295, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 51594, 62799, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 57466, 50900, 50818, 50956, 61130, 74360, 50809, 53857, 50820, 54888, 50813, 52464, 50820, 52685, 51559, 53425, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 56651, 54196, 59225, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 59890, 50900, 69811, 61130, 64122, 50809, 63635, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 52633, 53574, 50900, 69811, 61130, 74360, 74564, 51295, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 52784, 51594, 63954, 50900, 50818, 50956, 61130, 64122, 50809, 53857, 50820, 54888, 50813, 52464, 50813, 52685, 51559, 60520, 50900, 69811, 61130 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 11, 230, 538, 6, 4246, 13305, 6, 3459, 8669, 6, 21072, 6, 17465, 102, 6, 8, 21979, 9590, 4, 590, 10, 1769, 20889, 8, 10, 16331, 33215, 16739, 9, 272, 406, 6, 230, 6, 3676, 6, 1918, 6, 8, 230, 6, 24, 7630, 6568, 10, 12298, 1619, 5466, 3820, 19, 657, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50456, 51525, 52188, 51065, 50870, 52419, 51310, 51664, 54848, 51315, 52407, 50900, 52263, 50457, 51451, 53892, 51366, 54521, 51229, 53096, 51279, 54557, 50861, 52598, 51301, 52440, 51088, 52440, 51093, 53055, 50460, 50951, 52386, 50324, 50971, 51809, 51065, 52134, 73290, 50886, 55207, 55630, 59622, 50863, 51664, 53096, 51451, 53892, 51366, 54836, 51229, 53096, 50421, 62496, 50424, 76884, 63261, 50982, 52419, 50810, 50931, 53063, 51525, 51709, 51065, 50971, 51273, 51134, 52468, 53892, 51451, 53096, 51547, 53957, 51408, 53957, 51120, 52519, 50900, 54532, 50899, 52407, 50989, 52598, 51491, 53055, 51165, 53678, 51107, 53678, 55935, 50982, 50951, 61360, 51147, 50864, 60409, 73741, 50886, 54141, 55630, 59622, 50971, 52468, 53892, 51451, 53096, 51547, 53892, 51408, 53892, 72310, 57471, 79694, 51851, 51273, 50874, 76884, 50451, 50852, 69909, 51848, 50374, 66543, 63272, 50820, 52419, 50810, 50931, 51604, 50288, 56838, 51525, 51709, 51065, 51128, 51098, 51148, 51830, 54521, 52000, 53957, 51322, 56615, 51209, 54836, 51146, 50820, 51214, 51490, 51154, 52440, 55985, 50928, 51062, 67163, 51147, 50971, 58479, 51008, 50415, 50804, 53403, 50804, 58272, 50870, 51830, 53096, 52000, 52460, 51322, 53096, 51209, 53957, 50931, 52363, 50328, 50974, 72130, 56450, 51306, 63261, 57282, 74572, 51962, 50328, 59982, 50816, 58810, 50366, 53635, 50891, 51461, 51318, 53046, 53161, 52000, 53096, 51366, 53892, 51674, 53892, 51085, 52263, 50997, 54557, 50900, 52263, 50916, 52263, 51301, 53055, 51375, 52440, 51093, 53055, 50435, 50876, 60591, 52013, 77623, 56061, 51129, 74933, 67635, 51224, 50371, 66543, 57282, 54087, 50928, 62177, 50375, 66543, 50982, 54032, 50891, 53046, 53096, 52000, 53892, 51366, 53892, 51674, 53892, 50876, 59957, 71363, 50448, 50816, 50367, 51985, 50863, 57688, 50863, 51461, 50810, 50931, 50839, 59986, 50365, 52082, 59713, 51206, 53553, 51978, 51538, 51525, 51806, 51140, 51535, 52286, 54521, 51664, 53957, 51451, 54836, 51256, 54836, 51027, 52503, 50900, 51748, 50871, 51671, 53069, 52286, 52460, 55207, 57526, 50870, 51664, 53096, 51451, 53096, 51256, 53957, 50427, 60707, 50431, 51525, 51806, 51140, 51047, 52286, 53161, 50432, 51664, 52460, 51451, 53892, 51256, 53096, 50439, 51848, 52134, 62177, 55630, 50891, 52286, 52460, 50444, 51979, 50889, 51664, 53892, 51451, 53892, 51256, 53892, 50455, 52172, 51446, 51050, 51748, 50900, 51922, 50871, 52727, 50456, 51525, 51806, 51140, 51047, 52286, 53096, 51664, 53096, 51451, 54521, 51256, 53892, 53069, 50804, 55630, 50908, 52286, 54521, 50420, 51664, 53892, 51451, 53892, 51256, 53892, 50426, 52380, 51095, 50431, 51525, 51806, 51140, 51047, 52286, 54521, 50432, 51664, 53096, 51451, 53892, 51256, 54521, 50433, 52833, 51157, 50439, 50816, 51129, 50900, 53674, 50443, 53493, 69362, 55630, 50891, 52286, 52460, 50444, 51664, 53892, 51451, 53892, 51256, 54836, 50451, 53625, 51991, 50455, 51525, 51709, 52419, 51535, 52733, 54521, 50916, 52503, 50877, 52727, 50456, 51664, 53892, 51451, 56615, 51366, 54836, 51027, 55490, 51315, 51748, 50900, 51922, 50916, 52727, 51601, 60707, 50419, 50804, 55147, 50870, 52733, 52460, 50420, 51664, 53892, 51451, 54836, 51366, 53096, 77627, 79956, 51525, 51709, 52419, 51411, 52733, 53892, 51664, 53096, 50432, 51451, 53957, 51366, 52048, 50439, 51848, 51832, 50443, 52380, 64392, 55147, 50870, 51493, 51109, 52733, 53726, 51664, 53892, 51085, 68886, 50444, 51451, 53096, 51366, 53892, 50446, 51027, 55584, 50449, 50900, 52192, 50451, 52172, 51264, 50453, 50916, 67010, 51525, 51806, 50852, 50366, 51367, 51258, 52419, 50829, 52733, 54719, 51273, 51535, 51322, 54836, 51664, 54848, 51256, 54836, 51027, 52503, 50899, 51748, 50871, 51671, 53069, 50843, 54538, 50863, 51664, 53161, 50420, 51322, 53096, 51256, 53957, 50431, 51525, 51806, 52419, 51148, 51664, 52482, 50432, 51322, 53892, 51256, 53096, 62177, 55630, 50891, 51664, 53892, 50444, 51322, 53892, 51256, 53892, 50447, 50871, 51524, 50451, 50816, 51129, 51027, 52731, 50455, 52833, 50889, 51525, 51806, 51140, 51535, 52286, 53096, 51664, 53096, 51050, 52720, 50900, 53201, 50871, 54373, 50456, 51451, 54521, 51256, 53892, 53069, 52380, 55506, 55630, 50908, 52286, 54521, 51664, 53892, 50420, 51451, 53892, 51256, 53892, 50430, 52172, 50889, 50431, 51525, 51806, 51140, 51047, 52286, 54521, 51664, 53096, 50432, 51451, 53892, 51256, 54521, 50439, 50816, 51129, 50900, 58651, 50442, 51978, 50889, 62177, 55630, 50891, 52286, 52460, 51664, 53892, 51451, 53892, 50444, 51256, 54836, 50454, 52833, 50889, 50455, 51525, 51709, 51140, 51145, 52286, 54521, 51664, 53892, 51451, 56615, 50871, 52503, 50877, 52727, 50456, 51256, 54836, 51601, 60707, 50418, 52380, 50889, 50419, 50804, 55147, 50870, 52286, 52460, 51664, 53892, 51451, 54836, 50420, 51256, 53096, 77627, 51129, 50430, 52172, 51157, 50431, 51525, 51709, 51140, 51411, 52286, 53892, 51664, 53096, 51451, 53096, 50432, 51256, 52048, 50443, 51978, 69362, 55147, 50870, 51461, 51109, 52286, 53726, 51664, 53892, 51451, 53096, 51085, 68886, 50444, 51256, 53892, 50446, 51027, 55584, 50449, 50900, 52192, 50451, 52491, 53090, 50452, 50871, 67010, 51525, 51806, 50852, 50366, 51367, 51258, 51461, 51535, 51830, 53096, 52000, 54836, 51026, 52503, 50997, 51748, 50456, 51366, 54836, 50916, 51671, 53069, 50804, 57526, 50870, 51830, 53161, 52000, 53096, 50420, 51366, 53957, 50431, 51525, 51806, 51098, 51148, 51830, 52482, 52000, 53892, 51085, 56004, 50432, 51366, 53096, 50439, 50997, 55844, 50861, 55844, 62177, 55630, 50891, 51830, 53892, 52000, 53892, 50444, 51366, 53892, 50451, 50816, 76344, 51525, 51806, 51461, 51047, 51830, 53161, 52000, 54521, 51366, 53892, 51026, 52720, 50997, 53201, 50916, 54373, 50459, 51848, 52514, 51601, 51848, 76706, 50804, 55630, 50908, 51830, 53892, 52000, 53892, 51366, 53892, 77627, 79956, 51525, 51806, 51098, 51157, 51830, 53096, 52000, 53892, 51366, 54521, 50438, 52436, 51204, 50439, 50852, 50982, 62177, 55630, 52611, 51830, 53892, 52000, 53892, 51366, 53892, 50447, 51150, 69305, 75805, 51098, 68681, 52172, 50889, 50455, 51525, 51709, 51461, 51148, 51830, 53892, 52000, 56615, 51366, 54836, 52177, 51979, 51346, 50419, 50804, 55147, 50870, 51830, 53892, 52000, 54836, 51366, 53096, 50431, 51979, 50889, 51525, 51709, 51098, 51047, 51830, 53096, 52000, 53957, 51366, 52048, 50438, 51848, 51832, 50443, 52891, 69167, 54538, 50825, 51830, 53726, 52000, 53096, 51366, 53892, 60309, 51258, 50451, 51979, 51623, 50816, 76344, 51525, 51806, 50852, 50366, 51367, 51258, 51461, 51535, 51830, 53096, 52000, 54836, 51366, 54836, 51026, 52503, 50997, 51748, 50916, 51671, 53069, 50804, 57526, 50870, 51830, 53161, 52000, 53096, 51366, 53957, 50430, 51098, 51148, 51085, 51703, 50431, 51525, 51806, 51830, 52482, 52000, 53892, 51366, 53096, 50437, 52833, 51204, 50439, 50997, 51961, 50861, 51961, 55258, 60362, 50843, 50891, 51830, 53726, 52000, 53892, 51366, 53892, 50450, 53625, 58895, 51129, 50454, 52833, 50889, 50455, 51525, 51806, 51140, 51535, 52286, 53096, 51664, 53096, 51451, 54521, 51256, 53892, 51050, 52720, 50900, 53201, 50871, 54373, 52478, 52380, 60503, 55630, 50908, 52286, 54521, 50419, 51664, 53892, 51451, 53892, 51256, 53892, 50430, 53319, 50889, 51525, 51806, 51140, 51047, 52286, 54521, 50431, 51664 ]
[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 4246, 10, 32017, 816, 10, 19448, 8, 5679, 26709, 33301, 11, 5, 762, 9, 272, 3694, 4, 20, 2214, 16, 11, 155, 73, 176, 86, 6543, 8, 34, 10, 7212, 20889, 9, 8783, 13410, 228, 2289, 4, 20, 1049, 33215, 16739, 10726, 9, 211, 119, 6, 230, 6, 163, 428, 6, 274, 6, 8, 272, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50449, 50725, 50299, 52297, 50299, 59731, 56783, 50896, 56783, 50896, 61167, 50896, 61453, 51013, 61453, 70022, 50896, 50461, 76568, 51013, 62582, 51054, 57894, 51016, 57894, 52530, 50297, 68669, 51054, 50799, 56048, 51054, 56048, 51054, 50425, 50725, 50295, 51235, 61453, 50980, 61453, 50980, 51197, 72104, 62699, 51235, 62699, 51235, 56783, 51500, 50861, 51500, 50437, 50725, 50295, 51158, 51197, 76013, 56783, 51527, 61453, 51941, 61453, 51941, 50861, 51527, 50439, 62699, 51336, 62699, 51336, 50443, 76568, 51442, 50297, 50879, 50449, 50725, 50299, 64325, 50879, 50455, 50725, 50301, 51158, 51027, 51158, 50461, 55093, 51167, 55093, 51167, 50799, 62582, 51388, 73407, 68669, 51388, 50997, 51013, 50419, 56783, 51192, 50861, 51192, 50420, 62699, 51173, 62699, 51173, 50425, 57894, 51286, 56048, 50896, 56048, 60599, 78591, 55496, 50806, 55496, 50806, 76568, 52297, 50297, 51013, 50431, 56783, 51354, 50861, 75123, 62699, 50806, 62699, 76505, 61453, 51055, 61453, 65294, 62582, 51286, 55093, 51286, 55093, 51286, 73407, 51345, 50871, 51286, 50997, 75665, 80014, 51158, 56048, 51192, 56048, 51192, 50956, 65458, 62699, 51192, 62699, 51192, 73407, 50889, 61453, 51054, 61453, 53531, 50302, 50889, 50451, 62582, 51541, 50871, 51541, 50457, 55093, 51192, 55093, 51192, 50799, 50725, 50295, 51077, 51197, 78034, 62699, 51551, 62699, 51551, 80014, 51356, 56783, 51336, 56783, 51336, 50956, 51356, 50449, 56783, 51167, 50861, 69560, 50725, 50295, 50991, 61453, 51235, 61453, 51235, 62699, 51235, 62699, 51235, 51197, 50991, 50461, 62699, 51013, 62699, 51013, 50799, 61453, 51238, 61453, 51238, 56783, 51090, 50725, 50295, 55890, 53177, 50295, 52910, 73407, 50807, 55093, 51090, 55093, 51090, 62582, 50896, 61453, 50807, 61453, 65757, 57055, 53585, 67349, 51013, 80014, 50896, 56048, 51016, 56048, 51016, 56783, 51941, 56783, 51941, 50900, 52297, 50307, 54526, 50725, 50299, 51016, 61453, 50896, 61453, 50896, 61167, 51958, 50299, 75677, 50896, 50799, 80014, 50893, 56048, 51192, 56048, 51192, 67349, 51235, 50956, 72502, 51235, 50419, 61167, 77506, 57487, 55093, 50911, 55093, 50911, 50425, 67349, 51192, 50900, 68114, 62699, 50911, 62699, 50911, 67349, 51090, 56783, 50896, 56783, 74198, 64049, 56048, 51173, 56048, 51173, 73407, 51167, 50997, 68765, 55496, 50806, 55496, 50806, 57894, 50980, 57894, 50980, 50439, 67349, 50896, 76568, 51336, 50900, 51958, 50297, 51336, 50443, 62699, 51192, 62699, 66070, 55093, 51286, 55093, 51286, 50451, 62582, 51090, 57894, 51294, 57894, 51294, 50871, 63962, 56048, 51215, 56048, 51215, 51601, 50725, 50299, 51356, 51026, 51356, 50416, 61167, 51285, 56783, 51336, 56783, 51336, 61453, 51196, 61453, 51196, 50899, 68660, 50725, 50299, 50896, 61167, 53177, 50299, 68993, 51090, 50451, 56783, 51235, 56783, 51235, 61453, 51016, 61453, 51016, 50461, 80014, 52297, 50307, 51013, 50799, 50725, 50292, 51215, 56048, 51160, 56048, 51160, 51085, 51215, 50415, 56783, 51235, 56783, 51235, 50425, 67349, 50896, 50725, 50292, 70514, 51958, 50292, 60823, 56783, 51175, 56783, 51175, 56048, 50896, 56048, 50896, 50437, 55093, 51356, 55093, 51356, 50725, 50299, 51336, 73407, 51336, 51026, 51336, 50997, 74814, 56783, 51364, 56783, 51364, 50455, 57894, 51192, 57894, 51192, 50461, 61453, 51090, 61453, 51090, 59412, 50725, 50300, 52297, 50300, 60823, 56048, 51345, 56048, 51345, 80014, 50896, 56048, 51013, 56048, 52297, 50307, 50896, 50437, 76568, 51175, 62582, 51500, 51050, 51175, 50871, 51500, 50438, 56048, 50980, 56048, 50980, 75081, 51016, 75081, 58833, 62582, 51500, 62582, 51500, 56048, 50896, 56048, 50896, 76568, 50807, 62582, 53531, 50297, 57055, 51054, 50461, 73407, 50918, 50997, 50918, 50799, 62582, 50806, 62582, 50806, 55093, 50806, 55093, 50806, 61167, 51196, 50899, 62002, 56048, 50806, 56048, 50806, 80014, 51192, 80014, 68114, 62582, 50806, 62582, 50806, 55093, 50806, 55093, 50806, 50431, 56783, 51173, 56783, 51173, 62699, 51192, 62699, 51192, 50438, 57894, 50893, 57894, 50893, 55496, 51238, 55496, 51238, 50443, 61453, 50893, 61453, 50893, 50449, 67349, 51016, 56048, 51343, 56048, 51343, 50900, 58833, 76568, 50967, 55496, 51274, 55496, 51274, 51050, 50967, 50461, 76568, 51215, 62582, 51345, 51050, 51215, 50871, 51345, 53069, 61453, 51388, 61453, 51388, 62699, 51286, 62699, 51286, 50425, 76568, 50807, 62582, 53751, 50297, 57055, 75190, 57894, 50806, 57894, 50806, 55093, 50806, 55093, 50806, 50431, 56783, 51286, 56783, 68141, 56048, 51192, 56048, 51192, 50437, 73407, 51111, 61167, 51958, 50302, 51111, 50899, 53585, 55093, 51090, 55093, 51090, 62582, 51016, 62582, 61726, 50725, 50301, 72136, 77534, 50725, 50299, 50879, 62699, 51496, 62699, 51496, 51026, 55149, 56783, 51227, 56783, 51227, 73407, 52297, 50302, 51013, 50455, 76568, 51173, 51050, 51173, 50461, 67349, 51336, 50900, 51336, 50799, 50725, 50295, 50896, 56783, 50807, 56783, 50807, 51197, 50896, 50419, 55093, 50911, 55093, 50911, 50425, 56048, 51551, 56048, 51551, 50426, 50725, 50300, 52530, 50300, 51016, 50427, 62582, 50896, 62582, 53585, 50725, 50299, 50918, 61167, 51196, 51026, 65842, 51196, 50439, 56783, 51551, 56783, 51551, 50451, 61356, 50896, 61356, 50896, 50799, 50725, 50292, 51077, 51085, 78034, 56048, 51356, 56048, 51356, 67349, 51356, 80014, 51356, 80014, 51356, 50900, 51356, 50450, 50725, 50299, 51016, 61167, 51016, 56783, 50896, 56783, 50896, 61453, 51016, 61453, 52530, 50299, 75677, 51016, 50799, 76568, 51013, 62582, 51090, 56048, 51090, 56048, 51090, 57894, 51294, 57894, 51294, 51050, 68669, 67566, 50725, 50295, 51238, 56783, 51238, 61453, 51227, 61453, 51227, 62699, 51227, 62699, 51227, 51197, 51238, 50861, 71889, 50725, 50295, 50879, 56783, 51336, 51197, 56135, 51336, 50439, 62699, 51196, 62699, 51196, 61453, 51941, 61453, 51941, 50443, 76568, 51442, 50297, 50879, 50449, 50725, 50299, 62352, 72670, 50725, 50301, 51158, 51027, 51158, 50461, 62582, 51286, 55093, 51286, 55093, 51286, 50871, 51286, 50799, 73407, 52297, 50302, 51013, 50419, 56783, 50879, 62699, 50806, 62699, 56294, 50879, 50425, 55496, 51192, 55496, 51192, 56048, 51013, 56048, 60823, 57894, 50849, 76568, 53177, 50313, 51519, 50297, 51090, 50431, 62699, 51286, 62699, 68141, 56783, 51192, 50861, 51192, 50437, 61453, 51227, 61453, 76713, 62582, 51192, 55093, 51192, 55093, 51192, 73407, 51345, 50871, 51192, 50997, 75665, 80014, 51173, 56048, 51173, 56048, 51173, 50956, 65399, 62699, 51192, 62699, 51192, 73407, 51013, 62582, 50896, 61453, 51016, 61453, 52530, 50302, 68669, 57024, 55093, 51215, 55093, 51215, 50799, 56783, 51356, 56783, 51356, 50415, 80014, 51196, 62699, 51196, 62699, 51196, 50725, 50295, 72424, 51196, 51197, 56811, 56783, 51215, 50725, 50295, 51238, 61453, 51160, 61453, 51160, 62699, 50991, 62699, 50991, 50861, 51215, 51197, 51238, 50799, 61453, 51345, 61453, 51345, 50725, 50295, 50807, 62699, 51013, 62699, 51013, 56783, 52297, 50295, 55890, 51013, 50425, 55093, 51016, 55093, 61649, 73407, 50889, 62582, 51090, 61453, 51013, 61453, 52297, 50302, 59428, 63418, 67349, 51013, 80014, 50896, 56048, 51016, 56048, 51016, 56783, 52369, 56783, 52369, 50900, 52297, 50307, 54526, 50725, 50299, 50914, 61453, 50896, 61453, 50896, 61167, 52530, 50299, 64815, 51016, 50799, 80014, 51158, 56048, 51192, 56048, 51192, 67349, 51095 ]
[ 0, 250, 33928, 8, 33558, 3495, 2214, 4246, 41, 10170, 1499, 6, 21072, 6, 20535, 2810, 6, 326, 5638, 18026, 6, 8, 2342, 4467, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 4, 20, 33301, 29769, 198, 5, 40286, 163, 8, 381, 6, 2351, 10, 2365, 8, 1619, 12, 3341, 5466, 11, 5, 762, 9, 163, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51553, 55138, 51553, 55133, 51553, 52639, 51224, 52975, 51224, 53908, 51289, 53442, 51289, 55201, 53242, 50818, 51888, 50883, 52384, 50884, 63668, 50839, 51396, 68769, 51158, 50868, 51158, 51019, 51100, 57770, 57900, 56803, 52616, 51888, 50880, 52384, 50887, 63668, 69484, 54028, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51281, 69901, 78424, 59248, 52330, 52396, 51648, 50880, 52058, 50887, 56200, 50862, 51396, 50887, 51042, 66636, 50887, 51019, 54690, 55079, 53242, 50818, 51666, 50818, 52310, 50880, 53175, 50887, 55639, 69268, 51073, 50992, 51073, 51205, 51159, 57770, 54763, 69979, 59163, 52330, 52349, 52310, 50880, 53175, 50887, 55639, 50378, 52272, 54359, 52489, 50880, 53542, 50887, 54051, 56192, 54741, 50820, 51281, 69901, 78424, 57747, 52330, 50818, 50799, 52851, 50880, 56173, 50887, 52433, 66649, 55138, 51888, 50880, 52384, 50887, 63668, 50862, 51396, 51158, 51042, 51158, 50868, 51158, 51019, 51100, 57770, 54121, 58516, 53242, 50818, 51666, 52432, 51888, 50880, 52384, 50887, 63668, 69484, 53744, 53242, 50818, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51281, 69901, 78424, 52329, 52330, 50818, 51648, 50880, 52058, 50887, 56200, 50862, 51396, 50884, 51042, 66636, 50887, 51019, 54690, 54660, 52310, 50880, 51648, 50883, 53175, 50887, 52058, 50884, 55639, 50862, 56200, 65289, 51345, 50992, 51073, 51205, 51162, 57770, 54763, 69979, 59971, 51666, 50818, 53242, 52209, 52330, 50818, 52310, 50880, 53175, 50887, 55639, 50378, 52272, 53908, 52489, 50880, 53542, 50887, 54051, 56192, 54741, 50820, 51281, 69901, 78424, 52444, 52851, 50880, 56173, 50887, 52433, 66649, 54704, 52368, 50818, 51908, 50818, 52578, 51160, 52698, 51238, 71752, 51255, 50946, 51158, 51017, 51158, 50868, 51158, 51069, 51100, 57770, 54121, 52616, 51236, 54028, 50852, 56124, 50820, 51089, 62194, 76959, 52555, 52393, 50818, 51888, 50880, 52384, 50887, 63668, 75096, 50887, 51017, 66636, 50887, 51069, 54690, 55079, 52368, 50809, 51908, 61658, 51345, 50850, 51345, 70092, 57770, 54763, 69979, 53173, 52393, 50818, 52425, 50880, 52701, 50887, 58088, 50378, 52272, 54359, 52578, 50880, 52698, 50887, 71752, 50862, 51011, 65110, 54741, 50820, 51089, 62194, 76959, 57747, 52393, 50818, 50799, 51888, 50880, 52384, 50887, 63668, 66649, 55138, 52368, 50818, 50946, 51158, 51017, 51158, 50868, 51215, 51069, 50897, 57770, 54121, 58516, 51908, 58100, 52393, 52628, 52425, 50880, 52701, 50887, 58088, 69484, 53744, 52578, 50880, 52698, 50887, 71752, 50862, 51228, 65110, 56124, 50820, 51089, 62194, 76959, 52329, 52393, 50818, 51888, 50880, 52384, 50887, 63668, 75096, 50887, 51017, 66636, 54898, 54660, 57813, 58131, 51345, 50850, 51345, 68030, 57770, 54763, 69979, 52927, 54399, 62284, 53908, 52368, 50809, 51228, 57383, 54741, 50820, 51089, 62194, 76959, 58291, 54399, 52444, 51240, 54704, 53242, 50818, 51888, 50880, 52384, 50887, 63668, 50862, 51396, 68769, 51158, 50868, 51158, 51019, 51100, 57770, 54121, 52616, 51888, 50821, 52384, 50859, 63668, 60806, 54028, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51281, 69901, 78424, 52555, 52330, 50818, 51648, 50880, 52058, 50887, 56200, 50862, 51396, 50884, 51042, 66636, 50887, 51019, 54690, 55079, 51908, 50818, 52310, 50880, 53175, 50887, 55639, 69268, 51345, 50992, 51345, 51205, 51162, 57770, 54763, 69979, 53173, 52310, 50821, 53175, 50859, 55639, 50378, 52638, 54359, 52489, 50880, 53542, 50887, 54051, 56192, 54741, 50820, 51281, 69901, 78424, 50809, 50799, 52851, 50880, 56173, 50887, 52433, 66649, 55138, 51888, 50883, 52384, 50884, 63668, 50839, 51396, 68769, 51158, 50868, 51158, 51019, 51100, 57770, 54121, 58516, 51908, 52432, 52330, 50818, 51888, 50880, 52384, 50887, 63668, 69484, 53744, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51281, 69901, 78424, 52329, 52330, 50818, 51648, 50880, 52058, 50887, 56200, 50862, 51396, 50887, 51042, 66636, 50887, 51019, 54690, 54660, 52310, 50880, 53175, 50887, 55639, 69268, 51238, 50992, 51238, 51205, 51162, 57770, 54763, 69979, 52927, 52330, 50818, 52310, 50880, 53175, 50887, 55639, 50378, 52272, 53908, 51666, 50809, 52489, 50880, 53542, 50887, 54051, 56192, 54741, 50820, 51281, 69901, 78424, 52444, 51908, 50818, 52851, 50880, 56173, 50887, 52433, 66649, 54704, 52368, 50809, 51913, 50880, 53093, 50887, 53297, 75096, 60709, 50952, 50850, 50952, 51069, 50897, 58596, 69456, 76959, 53401, 51224, 75534, 53563, 51553, 50883, 52177, 51224, 54579, 51224, 52639, 51224, 52927, 51224, 54986, 51289, 53442, 51289, 55201, 54399, 50830, 51888, 50880, 52384, 50887, 63668, 50862, 51396, 68769, 51158, 50868, 51158, 51019, 51100, 57770, 57900, 56803, 58780, 52330, 52210, 51888, 50880, 52384, 50887, 63668, 69484, 54028, 51666, 50818, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51281, 69901, 78424, 52555, 52330, 50818, 51648, 50880, 52058, 50887, 56200, 50862, 51396, 50887, 51042, 69543, 50884, 51019, 54690, 55079, 52368, 50830, 52310, 50880, 53175, 50887, 55639, 69268, 51345, 50992, 51073, 51205, 51159, 57770, 54763, 69979, 53173, 52330, 50818, 52310, 50880, 53175, 50887, 55639, 50378, 52272, 54359, 52489, 50880, 53542, 50887, 54051, 56192, 54741, 50820, 51281, 69901, 78424, 50809, 50799, 52330, 50818, 52851, 50880, 56173, 50887, 52433, 66649, 55138, 53242, 50809, 51888, 50880, 52384, 50887, 63668, 50862, 51396, 51158, 51042, 51158, 50868, 51158, 51019, 51100, 57770, 54121, 52761, 52330, 50818, 51888, 50880, 52384, 50887, 63668, 69484, 53744, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51281, 69901, 78424, 52329, 52330, 50818, 51648, 50880, 52058, 50887, 56200, 50862, 51396, 50884, 51042, 66636, 50887, 51019, 54690, 54660, 52939, 50818, 52310, 50883, 51648, 50883, 53175, 50884, 52058, 50884, 55639, 50839, 56200, 65289, 51238, 50992, 51345, 51205, 50917, 57770, 54763, 69979, 52927, 52330, 50818, 52310, 50880, 53175, 50887, 55639, 50378, 52272, 53908, 51666, 50818, 52489, 50880, 53542, 50887, 54051, 50862, 51019, 57383, 54741, 50820, 51281, 69901, 78424, 52444, 52330, 50818, 52851, 50880, 56173, 50887, 52433, 66649, 54704, 51908, 50809, 52578, 51167, 52698, 51215, 71752, 51194, 50946, 51158, 51017, 51158, 50868, 51158, 78982, 57770, 54121, 52616, 51236, 54028, 50852, 56124, 50820, 51089, 62194, 76959, 52555, 52393, 50818, 51888, 50821, 52384, 50859, 63668, 77194, 50887, 51017, 66636, 50887, 51069, 54690, 55079, 50868, 51073, 50850, 51073, 70092, 57770, 54763, 69979, 53173, 52393, 50818, 52425, 50880, 52701, 50887, 58088, 50378, 52272, 54359, 51648, 50821, 52058, 50859, 56200, 50854, 51011, 57383, 54741, 50820, 51089, 62194, 76959, 50809, 50799, 52393, 50818, 51888, 50821, 52384, 50859, 63668, 59365, 55138, 50946, 51158, 51017, 51158, 50868, 51158, 78982, 57770, 54121, 52761, 52425, 50880, 52701, 50887, 58088, 69484, 57404, 52393, 53423, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51089, 62194, 76959, 52329, 52393, 50818, 51888, 50821, 52384, 50859, 63668, 77194, 50887, 51017, 66636, 50887, 51069, 54690, 54660, 60036, 58131, 51345, 50850, 51345, 51011, 50897, 57770, 54763, 69979, 52927, 54237, 62284, 53908, 57813, 50800, 51213, 57383, 54741, 50820, 51089, 62194, 76959, 52444, 52368, 53317, 62047, 52330, 53905, 51888, 50880, 52384, 50887 ]
[ 0, 250, 32076, 8, 11653, 3495, 2214, 19, 10, 11602, 9, 10, 19834, 16464, 6, 4246, 10, 20902, 11739, 9, 13305, 6, 20535, 2810, 6, 2003, 38704, 31365, 25999, 6, 6755, 12547, 6, 8, 31391, 1672, 9590, 4, 8504, 11, 83, 3694, 8, 6780, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 42, 2125, 1931, 21683, 10, 33558, 8, 2365, 619, 6, 19, 10, 2842, 9, 1619, 9450, 4, 20, 204, 73, 306, 86, 6543, 4719, 5, 12989, 5204, 25, 5, 33215, 16739, 9, 211, 406, 6, 272, 119, 1176, 406, 6, 274, 10431, 406, 6, 272, 119, 1176, 406, 6, 8, 381, 406, 30853, 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 ]	[ 54458, 76501, 52851, 50921, 51888, 76520, 52103, 50859, 51713, 65372, 53152, 50859, 52578, 51033, 50799, 51963, 51091, 51776, 51573, 52664, 50983, 52851, 51189, 51338, 51362, 51085, 51541, 50900, 51091, 50916, 56135, 56190, 63707, 52090, 53498, 50818, 55429, 50943, 56248, 79306, 51173, 50973, 51100, 50968, 51158, 50903, 51336, 74163, 50430, 53152, 50925, 52578, 51014, 51857, 65604, 52664, 50800, 51963, 50800, 51776, 51014, 51727, 77242, 53579, 51135, 53912, 52851, 51346, 51963, 51112, 55912, 51048, 52664, 51157, 53170, 51054, 51844, 51343, 51027, 51362, 50916, 51160, 50861, 50993, 50973, 51460, 56639, 50807, 55894, 56508, 52664, 51112, 52970, 51112, 53152, 51162, 52366, 51932, 55912, 60998, 56135, 51505, 50906, 51505, 50903, 51196, 50856, 72576, 51844, 50858, 51120, 51364, 51027, 50950, 50899, 51189, 50871, 71261, 58834, 50914, 50799, 52719, 50807, 52103, 50807, 51913, 51204, 52002, 51573, 51181, 51343, 56639, 50807, 55429, 50915, 53645, 51173, 50877, 51286, 50903, 51196, 74163, 50430, 52747, 51045, 50434, 52719, 50808, 52103, 50859, 52002, 51033, 51181, 69180, 53579, 51179, 55965, 51913, 50991, 51888, 51235, 52103, 51162, 52310, 51346, 55282, 50807, 54409, 51237, 51137, 51343, 51026, 71211, 51215, 50877, 51167, 50973, 51160, 50968, 51505, 56639, 50807, 55894, 56508, 52099, 51238, 52103, 51346, 52489, 51112, 52310, 51346, 54348, 53531, 50299, 50910, 50871, 62685, 73662, 52545, 50319, 50940, 50903, 51356, 50856, 50918, 50458, 51137, 51879, 50299, 51421, 50943, 50799, 51648, 50952, 52991, 51033, 51963, 51226, 52851, 51661, 51338, 51343, 51085, 51294, 50916, 51167, 50861, 51167, 50973, 51221, 50902, 51379, 67779, 63672, 52310, 50897, 53170, 51033, 50422, 52991, 51045, 51648, 68760, 58299, 52310, 51215, 53170, 51354, 50916, 51173, 50861, 51286, 50973, 51111, 50902, 51286, 50903, 51196, 50856, 68409, 51963, 50818, 51776, 51014, 51374, 51879, 50296, 53579, 51179, 56509, 52310, 50893, 51963, 51167, 53170, 51483, 52664, 51364, 52851, 51661, 51349, 51343, 51027, 51091, 50916, 51238, 50861, 51235, 50973, 51379, 56639, 75626, 51913, 50840, 51906, 50808, 52366, 55043, 55441, 52002, 51483, 51963, 51255, 51913, 51238, 50916, 51060, 50861, 51060, 50877, 51060, 50876, 51158, 50903, 51356, 50856, 72576, 52664, 50836, 51888, 51033, 51338, 50858, 51027, 52259, 51239, 51003, 50799, 51713, 51483, 52103, 51091, 51913, 51204, 52664, 50983, 51181, 51343, 51120, 51091, 50899, 51241, 50871, 51173, 50877, 63837, 51215, 56639, 73351, 51776, 55043, 69027, 51713, 51033, 50871, 69222, 50821, 50876, 63390, 51661, 74163, 50430, 51776, 75724, 51963, 51896, 56844, 51896, 51888, 52311, 52851, 51977, 51684, 50940, 51026, 51661, 50973, 51870, 50968, 51009, 67779, 53442, 51137, 51356, 50856, 51291, 50446, 50903, 50940, 54722, 51955, 52570, 50791, 50918, 50457, 51366, 50860, 57796, 61845, 51492, 50799, 52664, 51486, 52103, 51692, 51181, 52536, 51120, 51605, 51026, 69266, 51189, 61617, 70796, 56143, 50902, 59709, 74865, 63106, 52466, 73648, 72083, 51256, 56733, 51256, 51973, 75975, 75640, 63830, 65338, 50848, 74865, 63106, 53451, 77229, 51178, 50427, 51366, 58221, 51366, 56861, 50899, 51194, 54613, 50436, 51322, 50975, 57019, 51110, 79276, 63830, 50902, 51060, 50848, 55868, 61182, 51599, 77229, 50914, 50445, 51322, 52116, 50871, 51100, 50877, 51100, 50876, 51100, 50902, 51111, 50848, 55868, 61182, 50860, 51451, 52279, 77229, 50914, 50454, 51349, 50858, 51451, 56575, 51602, 69180, 50886, 51912, 51066, 53053, 51661, 51026, 51591, 50871, 58800, 60358, 56611, 71305, 61182, 53236, 59770, 51003, 50422, 51912, 51973, 50871, 58800, 60358, 58580, 55868, 61182, 50860, 51451, 53451, 51446, 50791, 51095, 50433, 51451, 62751, 51181, 69180, 50914, 54613, 57842, 51290, 72302, 65645, 50973, 51233, 76592, 50946, 56304, 50976, 50872, 51599, 51472, 50791, 51127, 50439, 51322, 79867, 51026, 58063, 51896, 50450, 51857, 51227, 50956, 51345, 50877, 51112, 50973, 51377, 51001, 51346, 51042, 67072, 55868, 54972, 53601, 50456, 51209, 50802, 57796, 50921, 54309, 51343, 50900, 51218, 50916, 51191, 71356, 50973, 51212, 50968, 51235, 50885, 56781, 51599, 78260, 67697, 51334, 56733, 51334, 53537, 50861, 51158, 50973, 51167, 50968, 51483, 50885, 56781, 65837, 53451, 78464, 61857, 51590, 55996, 51338, 73623, 50840, 51590, 50823, 57144, 51343, 51086, 51189, 50956, 51218, 50877, 50967, 50973, 51446, 51001, 51285, 50979, 70533, 56491, 51599, 78260, 68647, 51229, 56695, 51114, 51054, 51229, 53798, 79725, 50979, 70533, 61182, 51812, 78464, 50967, 50452, 51209, 56575, 51857, 75205, 50844, 51209, 51052, 50897, 54309, 51362, 50900, 51381, 50916, 51241, 68062, 50973, 51043, 50968, 51111, 50951, 51215, 50868, 56225, 50976, 51674, 51670, 59770, 50914, 50417, 51229, 60134, 51209, 51973, 66180, 50973, 51043, 50968, 51345, 50868, 65837, 53451, 51446, 50791, 51095, 50427, 51366, 58459, 51857, 50890, 51451, 57485, 51727, 50858, 51664, 51300, 54613, 57552, 51175, 51027, 51047, 50916, 51189, 50861, 51446, 79379, 51028, 51291, 51017, 62711, 61182, 53236, 76821, 51183, 50446, 51349, 51362, 50804, 52024, 50852, 53083, 51017, 62711, 61182, 61046, 63077, 51366, 51599, 50910, 53447, 51661, 50899, 51364, 50877, 56472, 57172, 71305, 61182, 53236, 78260, 50915, 50418, 51256, 52801, 51256, 53537, 50877, 51194, 75023, 50848, 71305, 61182, 60894, 78260, 51110, 50428, 51366, 56861, 51349, 50895, 50899, 51241, 51366, 52715, 50878, 57080, 51362, 75640, 50876, 51158, 50848, 71305, 61182, 53236, 77229, 73700, 51322, 56695, 50931, 51735, 51322, 53798, 50899, 62821, 51100, 50876, 57172, 71305, 61182, 60894, 51551, 50791, 51110, 50451, 51451, 60111, 51349, 69866, 51181, 69266, 50812, 51451, 51805, 50942, 53053, 51356, 51026, 52392, 50871, 51419, 69940, 50973, 51121, 50872, 56225, 75638, 51599, 77229, 70374, 51912, 56733, 51912, 51973, 50861, 51100, 50973, 51212, 50872, 65837, 75638, 50860, 51451, 55225, 51551, 50791, 51095, 50430, 51451, 56861, 50871, 51412, 50791, 66859, 51322, 51300, 69031, 50858, 71356, 50973, 51110, 50872, 65837, 75638, 53236, 69512, 50914, 50442, 51684, 68787, 51137, 51175, 50871, 51091, 56222, 50991, 50973, 51238, 50872, 65837, 75638, 60894, 51551, 50791, 51110, 50454, 51132, 54663, 51830, 56250, 51181, 51879, 50299, 50812, 50951, 51594, 50942, 54309, 51362, 50900, 51204, 50916, 51218, 66180, 50973, 51255, 50968, 51346, 50868, 65837, 50860, 50909, 50860, 51451, 53236, 78260, 57519, 51322, 63606, 51366, 51973, 50861, 51194, 50973, 51363, 50968, 51116, 50868, 56225, 57866, 55964, 78260, 50967, 50430, 51857, 50890, 51209, 55996, 51727, 72528, 53330, 68068, 51590, 50803, 57552, 51343, 51027, 51294, 50916, 51218, 66180, 50877, 51255, 50876, 51397, 50868, 56491, 55877, 77580, 51003, 50439, 51408, 52284, 51229, 54145, 50861, 51212, 50877, 51212, 50868, 61182, 55964, 69512, 51110, 50457, 51366, 56250, 51844, 50858, 51027, 53330, 50878, 53447, 51343, 51120, 51364, 50899, 51218, 50877, 54891, 65046, 51256, 51599, 59770, 60413, 51209, 57646, 56143, 50425, 51256, 52968, 50877, 65090, 51124, 50931, 51933, 50872, 56491, 60894, 52195, 50791, 51095, 50429, 51209, 59009, 51366, 51029, 50434, 51181, 51879, 50294, 65263, 51221, 52653, 57842, 51356, 51026, 51077, 71777, 50872, 51300, 50847, 61846, 51291, 50791, 50943, 64118, 51204, 50861 ]
[ 0, 250, 8787, 3495, 8, 5175, 15229, 4246, 10, 20535, 12547, 9, 32909, 6, 1515, 21305, 6, 326, 5638, 18026, 6, 8, 17465, 102, 6, 7513, 30, 10, 13305, 4, 590, 10, 2635, 226, 22740, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 25306, 5466, 19, 10, 3344, 9, 2933, 8, 1372, 6711, 29, 4, 20, 2125, 16, 11, 5, 762, 9, 272, 538, 8, 24536, 10, 33215, 16739, 9, 15312, 757, 6, 1918, 6, 272, 6, 211, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 61791, 50861, 67943, 50622, 53502, 67220, 50995, 50423, 50622, 50424, 73952, 50428, 65313, 59409, 51051, 50876, 51412, 50436, 65313, 50440, 73952, 50442, 50902, 53743, 57846, 50968, 50995, 50448, 73952, 50452, 50861, 63234, 65555, 50951, 51412, 50460, 65313, 51809, 73952, 50418, 50999, 55105, 51086, 75766, 50995, 50424, 77555, 50428, 63006, 58319, 51051, 50931, 51097, 50436, 63006, 50440, 50899, 68982, 77469, 50448, 77555, 50452, 63006, 50456, 65313, 50931, 50995, 50460, 63006, 51809, 77555, 53502, 71227, 51242, 50424, 50916, 59386, 50968, 50995, 50428, 65313, 59409, 51051, 50436, 50861, 58946, 78763, 50440, 50916, 68982, 51027, 50933, 50968, 50995, 50448, 70223, 50452, 50899, 63234, 50989, 51051, 50902, 51412, 50460, 77555, 51809, 70223, 50418, 50877, 55105, 51026, 69715, 51244, 50424, 51086, 51051, 50428, 77555, 58319, 51051, 50436, 77555, 50440, 51086, 68982, 50622, 51026, 50981, 50448, 50622, 62958, 50452, 50622, 50877, 61898, 79623, 50457, 50622, 50460, 66374, 50461, 50622, 51809, 74952, 50417, 50622, 50420, 50622, 50968, 50955, 50876, 50981, 50424, 51220, 50959, 50428, 50999, 60675, 74952, 50973, 50995, 50436, 50999, 50959, 50440, 50951, 63280, 50622, 70688, 50877, 50981, 50448, 50622, 76598, 50452, 50622, 50931, 61898, 79623, 50861, 50995, 50457, 50622, 50460, 72310, 50461, 50622, 51809, 78966, 50417, 50622, 50420, 50622, 50871, 59389, 54100, 50916, 60127, 52169, 50317, 55040, 50622, 50899, 60138, 70062, 50915, 50448, 50622, 50452, 50622, 50456, 51120, 51051, 61048, 62496, 50457, 50622, 50460, 51315, 51051, 58222, 50968, 50955, 50461, 50622, 51809, 51050, 51051, 56963, 73754, 50417, 50622, 50420, 50622, 70584, 51026, 67220, 51742, 50424, 70223, 50428, 73952, 58319, 51051, 50436, 73952, 50440, 50900, 68982, 78456, 50448, 51086, 51051, 70644, 50452, 77555, 50877, 61898, 63006, 79623, 50460, 77555, 78966, 51809, 51086, 51051, 50902, 68582, 50622, 79848, 68929, 70178, 51085, 63085, 50915, 50424, 62958, 50428, 67946, 59409, 50959, 50436, 62958, 50440, 50916, 63280, 51085, 63085, 50981, 50448, 62958, 50452, 50916, 61898, 66374, 50460, 62958, 50799, 55062, 50905, 50416, 67946, 50420, 53250, 51741, 50292, 63085, 50915, 50424, 62958, 50428, 50916, 60675, 53250, 51337, 66374, 50436, 62958, 50440, 67946, 50442, 53077, 54434, 53771, 51312, 51085, 63085, 50915, 50448, 62958, 50452, 50916, 61898, 53863, 51337, 66374, 50460, 62958, 51809, 67946, 50418, 54985, 55105, 53863, 51911, 50291, 52019, 50303, 51003, 50424, 62958, 78312, 60675, 53407, 51380, 74952, 50436, 62958, 50440, 61522, 50444, 50622, 51214, 71169, 50915, 50448, 50622, 62958, 50452, 50622, 61522, 50456, 53407, 51379, 79623, 50457, 50622, 50460, 62958, 50461, 50622, 51809, 61522, 50417, 50622, 50418, 53407, 57242, 53407, 51286, 51085, 63085, 51003, 50423, 50622, 50424, 50861, 57818, 53771, 50936, 50428, 50916, 60675, 56213, 53275, 50316, 50959, 50436, 50861, 58450, 53250, 50911, 50440, 50916, 63280, 53771, 51454, 51279, 72388, 50915, 50448, 50989, 50959, 50452, 50899, 61898, 53077, 51379, 66374, 50460, 50989, 50959, 51809, 69505, 50418, 54812, 57242, 53077, 51527, 51214, 52019, 50299, 51003, 50424, 61522, 50428, 50899, 60675, 79623, 50436, 62958, 50440, 61522, 50444, 50622, 73754, 50448, 50622, 66374, 50452, 50622, 50973, 61898, 64645, 50457, 50622, 50460, 62958, 50461, 50622, 50799, 55062, 50911, 50416, 61522, 50417, 50622, 50420, 53250, 53531, 50292, 63085, 51003, 50423, 50622, 50424, 62958, 50428, 50916, 60675, 53250, 51379, 66374, 50436, 62958, 50440, 67946, 50442, 53077, 56843, 53771, 51454, 51085, 63085, 50915, 50448, 62958, 50452, 50916, 61898, 53863, 51379, 66374, 50460, 62958, 51809, 67946, 50418, 54985, 57242, 53863, 53177, 50289, 52019, 50301, 51003, 50424, 50989, 50959, 50428, 50899, 60675, 55602, 51196, 66374, 50436, 50989, 50959, 50440, 50899, 63280, 51324, 51517, 50303, 50915, 50448, 61522, 50452, 50899, 61898, 53407, 51379, 74952, 50460, 62958, 51809, 61522, 50418, 53407, 57242, 53407, 51286, 51085, 63085, 51003, 50424, 50861, 57818, 53771, 50936, 50428, 50916, 60675, 56213, 53275, 50316, 50959, 50436, 50861, 58450, 53250, 50911, 50440, 50916, 63280, 50622, 53771, 51454, 51214, 71169, 50915, 50448, 50622, 62958, 50452, 50622, 61522, 50456, 53077, 51379, 79623, 50457, 50622, 50460, 62958, 50461, 50622, 51809, 61522, 50417, 50622, 50418, 55062, 57242, 53250, 51527, 51085, 63085, 51003, 50423, 50622, 50424, 62958, 50428, 67946, 59409, 50959, 50436, 62958, 50440, 50916, 63280, 50968, 50955, 50448, 66374, 50452, 50861, 61898, 66374, 50460, 62958, 79705, 50911, 50416, 67946, 50420, 53077, 53531, 50287, 52019, 50299, 51003, 50424, 62958, 50428, 50899, 60675, 53771, 51379, 79623, 50436, 62958, 50440, 69505, 50442, 55602, 56843, 53863, 51454, 51214, 71169, 50915, 50448, 62958, 50452, 50899, 61898, 56213, 51379, 79623, 50460, 62958, 51809, 69505, 50418, 53077, 57242, 53250, 51527, 51279, 52019, 50301, 51003, 50424, 50989, 50959, 50428, 69505, 59409, 50959, 50436, 50989, 50959, 50440, 50899, 63280, 51120, 50995, 50448, 50989, 50959, 50452, 50899, 61898, 53250, 57253, 50959, 50460, 50989, 50959, 79705, 50879, 50416, 50899, 68582, 56213, 53531, 50299, 51148, 50424, 62958, 50428, 50899, 60675, 53077, 51379, 79623, 50436, 62958, 50440, 69505, 50442, 53077, 56843, 53863, 51454, 51315, 50995, 50448, 62958, 50452, 50877, 61898, 55602, 51379, 51028, 50959, 51027, 51097, 50460, 64645, 51809, 62958, 50418, 53771, 57242, 53077, 51527, 51120, 50981, 50424, 64645, 50428, 50989, 60675, 74952, 50436, 64645, 50440, 50989, 63280, 73754, 50448, 71650, 50452, 50861, 61898, 53077, 60446, 50959, 50460, 64645, 77632, 50879, 50416, 50989, 68582, 53407, 53531, 50300, 50981, 50424, 79623, 78312, 60675, 53771, 53275, 50318, 50959, 50436, 50973, 58450, 53077, 50911, 50440, 61522, 50444, 53077, 52362, 50296, 50995, 50448, 50965, 58248, 53771, 51566, 50452, 50916, 61898, 79623, 50460, 70644, 50799, 56213, 50911, 50416, 67946, 50420, 53250, 51527, 51027, 51145, 50424, 64645, 50428, 67946, 59409, 50959, 50436, 64645, 50440, 50916, 63280, 51086, 51145, 50448, 62958, 50452, 50899, 61898, 74952, 50460, 62958, 77632, 50911, 50416, 50899, 68582, 53777, 53531, 50304, 65227, 58532, 59391, 60307, 53077, 64104, 53250, 56646, 50622, 53250, 51454, 51176, 64763, 67182, 59937, 50943, 50449, 50621, 50454, 50621, 50456, 56213, 51379, 50458, 50621, 51601, 50620, 50417, 53250, 55446, 50619, 53077, 51527, 51026, 51145, 50973, 51145, 50899, 67835, 63323, 50622, 77920, 50799, 55062, 55126, 53250, 51741, 50292, 63085, 50915, 50424, 62958, 50428, 50916, 60675, 53250, 51337, 66374, 50436, 62958, 50440, 67946, 50442, 53077, 54434, 53771, 51312, 51085, 63085, 50915, 50448, 62958, 50452, 50916, 61898, 53863, 51337, 66374, 50460, 62958, 51809, 67946, 50418, 54985, 55105, 53863, 51911, 50291, 52019, 50303, 51003, 50424, 62958, 78312, 60675, 53407, 51380, 74952, 50436, 62958, 50440, 61522, 50444, 50622, 51214, 71169, 50915, 50448, 50622, 62958, 50452, 50622, 61522, 50456, 79623, 50457, 50622, 50460, 62958, 50461, 50622, 78857, 50911, 50416, 61522, 50417, 50622, 50420, 53771, 53531, 50292, 63085, 51003, 50423, 50622, 50424, 62958, 50428, 50916, 60675, 53771, 51379, 66374, 50436, 62958, 50440, 67946, 50442, 53771, 56843, 53771 ]
[ 0, 250, 15855, 19834, 2125, 14, 115, 28, 341, 11, 10, 822, 50, 6717, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 26432, 636, 3938, 22052, 6, 32909, 6, 8, 21979, 9590, 4, 20, 6711, 7630, 6568, 10, 1472, 9, 9733, 8, 34, 10, 1619, 619, 7, 24, 4, 85, 18, 11, 211, 3694, 6, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 16, 83, 6, 163, 428, 73, 495, 6, 211, 119, 6, 230, 6, 8, 272, 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 ]	[ 54458, 52013, 54181, 52013, 50854, 50799, 52013, 53906, 52013, 54181, 52039, 50849, 51485, 50948, 51838, 51527, 52735, 63883, 51485, 50830, 52039, 53562, 52039, 50849, 51485, 59465, 52039, 50873, 51485, 51014, 62404, 51749, 51198, 51397, 51216, 51029, 51898, 51241, 51579, 51343, 52137, 51362, 54339, 60055, 51639, 51124, 51119, 50991, 51494, 78265, 66491, 51494, 50844, 76440, 51898, 51359, 52314, 51696, 53129, 51036, 52886, 51359, 50438, 52176, 51642, 51198, 51423, 51389, 60815, 51119, 50855, 51494, 50857, 51275, 53068, 51708, 51110, 51389, 58954, 51119, 50855, 51494, 50867, 51275, 50813, 62404, 51535, 51198, 51295, 51216, 52512, 50420, 51119, 51112, 51494, 51377, 51275, 70705, 51119, 50836, 51494, 50857, 51275, 52950, 52176, 50932, 51198, 51233, 51389, 50976, 51898, 50849, 51485, 50894, 51838, 51551, 52886, 56027, 51119, 50862, 51494, 50867, 51275, 50820, 51485, 50940, 51898, 54230, 51708, 50955, 51389, 51505, 51485, 50921, 51898, 55345, 51119, 50829, 51494, 50904, 51275, 50867, 51898, 50873, 51485, 51033, 71803, 51878, 51869, 51562, 51098, 51300, 51431, 51295, 52067, 51204, 52430, 51274, 55815, 78264, 51099, 51412, 51275, 51043, 51308, 77066, 51308, 50862, 51275, 50862, 76009, 51723, 51623, 51579, 51358, 52137, 51623, 54307, 51675, 50438, 51869, 51233, 53366, 51852, 51389, 60815, 73778, 51308, 50836, 51275, 54208, 52176, 50845, 51389, 51505, 50456, 51869, 51380, 66301, 50977, 51308, 50938, 51275, 50925, 53366, 50878, 51098, 61445, 51308, 51191, 51275, 51191, 53366, 51381, 51869, 51351, 51099, 51191, 51098, 51300, 51723, 50897, 52137, 73374, 51723, 50833, 52430, 56160, 51723, 50808, 52735, 68179, 51723, 50808, 52137, 50795, 58637, 50925, 51280, 50897, 51561, 50938, 51099, 50897, 51153, 50849, 51150, 50975, 51431, 50865, 52735, 51138, 56343, 50948, 52876, 50925, 53410, 60724, 52133, 50879, 51673, 53890, 51881, 50805, 51886, 53961, 52402, 50849, 52480, 58087, 51656, 51095, 53297, 74971, 51615, 51233, 52367, 78271, 52402, 50795, 52480, 53581, 52133, 51177, 51673, 51058, 61310, 50830, 51099, 51121, 75271, 51275, 51121, 51389, 51066, 51881, 50795, 54708, 50910, 52876, 50925, 56631, 50897, 51886, 77772, 51615, 51178, 52367, 76349, 51881, 50795, 51886, 53387, 53181, 51177, 51827, 51328, 50438, 51561, 51111, 51099, 51194, 51308, 51121, 51639, 51095, 51930, 51066, 52133, 50924, 52876, 50917, 56343, 50936, 53410, 50897, 51673, 53999, 52402, 51121, 52480, 51884, 50450, 52133, 50795, 51673, 54509, 53389, 50873, 51686, 51006, 61310, 50938, 51099, 50897, 51308, 50910, 51275, 50917, 51389, 50993, 53181, 51030, 54708, 51033, 56631, 50952, 52876, 50910, 51827, 60592, 51198, 51091, 51494, 51141, 51119, 51189, 51389, 51029, 51431, 50936, 52067, 50879, 55815, 50806, 52430, 53999, 51723, 50865, 51579, 50937, 52137, 51101, 54307, 54230, 52314, 50893, 51898, 50937, 55248, 50865, 53129, 57092, 51431, 50924, 52067, 50936, 55815, 50805, 52430, 50905, 71803, 50959, 51869, 50955, 51099, 50845, 75271, 51275, 51178, 51098, 50975, 51723, 50865, 51579, 50879, 52137, 50937, 54307, 58292, 53366, 67174, 52517, 57565, 52517, 61208, 52088, 66864, 52456, 50858, 62404, 52598, 51198, 51878, 51389, 51029, 51270, 55909, 53216, 54226, 51119, 51337, 51494, 51309, 51275, 51233, 51270, 53107, 54316, 51270, 52499, 52639, 55815, 51090, 51656, 51003, 51270, 52793, 52209, 51119, 50820, 51494, 50829, 51275, 65685, 55909, 52517, 60920, 51708, 50905, 51216, 50976, 55248, 51175, 52332, 51203, 51270, 52793, 52616, 51119, 50834, 51494, 50904, 51275, 57095, 53963, 53595, 51198, 51101, 51216, 50975, 55248, 50893, 52332, 68572, 52637, 52193, 51119, 50839, 51494, 50829, 51275, 50834, 54307, 50873, 51615, 80241, 52637, 50839, 62404, 51627, 51389, 51029, 55815, 51356, 51656, 51183, 51270, 52637, 52302, 51119, 51194, 51494, 51328, 51153, 51233, 51270, 52786, 58592, 51270, 54446, 51270, 52539, 60463, 51270, 52639, 51270, 52637, 52927, 78585, 51494, 50825, 51119, 57113, 52637, 52676, 51708, 50845, 51216, 50802, 55248, 51290, 52332, 51056, 51270, 53045, 50817, 52708, 52284, 51119, 50862, 51494, 50864, 51153, 68814, 52637, 50829, 51855, 61208, 51198, 50937, 51216, 50802, 55815, 51095, 51656, 51412, 51383, 55909, 52708, 54178, 60056, 51494, 50822, 51153, 50866, 51383, 52637, 50949, 52517, 51045, 65237, 51318, 51098, 51300, 54339, 51343, 52402, 51191, 51270, 55909, 53216, 64146, 51275, 51337, 51099, 51242, 51308, 51212, 51270, 53107, 54316, 51270, 52499, 52639, 51270, 52793, 52209, 51308, 50862, 68177, 68182, 52886, 50849, 51881, 50937, 51270, 55909, 52517, 53663, 52176, 50879, 51389, 51505, 54307, 51100, 51615, 50873, 51270, 52793, 52616, 51308, 51008, 51099, 51006, 51275, 51058, 53718, 50914, 51743, 50981, 51270, 53963, 53595, 52176, 50967, 51389, 51483, 51383, 52637, 52193, 51308, 50959, 51099, 51006, 51275, 50978, 54339, 50805, 52402, 80241, 52637, 50839, 65237, 51218, 51098, 51300, 52886, 51518, 51881, 51677, 51270, 52637, 52302, 51275, 51194, 51099, 51043, 51308, 51121, 51270, 53107, 54316, 51270, 52499, 52639, 51270, 52793, 52209, 51275, 50862, 51308, 50855, 51099, 65685, 55909, 52517, 57174, 51869, 51212, 51389, 50976, 51270, 52793, 50820, 52077, 51483, 50444, 51099, 50978, 51308, 50813, 51275, 68671, 53963, 53595, 51869, 51043, 51389, 51505, 51383, 55909, 52077, 57701, 51099, 50822, 51308, 50813, 51275, 79913, 52637, 50839, 52077, 50803, 62673, 51417, 51793, 51300, 52626, 51127, 51743, 51183, 51270, 55909, 51855, 66463, 51119, 51480, 51270, 53107, 54316, 51270, 52499, 52639, 77061, 51270, 52793, 50818, 51855, 56896, 51435, 79717, 55909, 51855, 57174, 51561, 51077, 51930, 51300, 54339, 51047, 52402, 51127, 51270, 52793, 50820, 51813, 62186, 51099, 51337, 51270, 53963, 53595, 51308, 68572, 55909, 51813, 52884, 51639, 50948, 51383, 52637, 50839, 51813, 50950, 61310, 51127, 51389, 52097, 53718, 51127, 51881, 51145, 51270, 55909, 52088, 62420, 51144, 51212, 51270, 52786, 58592, 51270, 54446, 51270, 52539, 58646, 51270, 52639, 51308, 50845, 51270, 52637, 50846, 52088, 52726, 61565, 51270, 55909, 52088, 57174, 51280, 51145, 51150, 52512, 54307, 51145, 52133, 51047, 51270, 53045, 50817, 53216, 58919, 51099, 51233, 51270, 52637, 52802, 51153, 51177, 51383, 55909, 53216, 52163, 51639, 50805, 51383, 52637, 50949, 53216, 50803, 65364, 51244, 51261, 52512, 57204, 51047, 53181, 51183, 51270, 55909, 52517, 64146, 51308, 51101, 51906, 50890, 51648, 50809, 52103, 50809, 52334, 50809, 51485, 64115, 53107, 54316, 51270, 52499, 52639, 51275, 50892, 51270, 52793, 52209, 51435, 50924, 52103, 50862, 51906, 50836, 51648, 50862, 52334, 50862, 51485, 56741, 52637, 52676, 51198, 50943, 51273, 51029, 53152, 50812, 51648, 50809, 51913, 50836, 53437, 50890, 51485, 50840, 55815, 51127, 53389, 51183, 51270, 52793, 52616, 51494, 51267, 51913, 50836, 53152, 50857, 51648, 50840, 53437, 50836, 51485, 62451, 53963, 53595, 51119, 51212, 53152, 50840, 51648, 50836, 51913, 50836, 53437, 50890, 51485, 62284, 55909, 50455, 53152, 50809, 53437, 53875, 51275, 50849, 51777, 50837, 51913, 50836, 51648, 50840, 51485, 52476, 50592, 52637, 50839, 71803, 50905, 51869, 51233, 51098, 51552, 51648, 50836, 51963, 50890, 51906, 50883, 51485, 50800, 52039, 50808, 53817, 50873, 54307, 79717, 52637, 52302, 51099, 51337, 51308, 51194, 51275, 51177 ]
[ 0, 250, 239, 12, 18261, 3152, 2214, 19, 10, 2842, 9, 4204, 2712, 6, 42, 2125, 16, 41, 814, 12, 21330, 20522, 3068, 31, 386, 7, 2073, 4, 590, 10, 27841, 3006, 11332, 20889, 8, 10, 155, 73, 306, 86, 6543, 6, 24, 18, 10, 28252, 9, 10603, 6, 3185, 30, 5, 2247, 4069, 9, 81, 9756, 29589, 6, 3459, 9590, 6, 8, 29839, 21072, 4, 20, 33215, 16739, 9, 163, 43531, 1176, 406, 6, 1918, 406, 428, 245, 6, 12608, 12361, 6, 12608, 6, 8, 211, 3639, 7, 5, 9066, 8, 15352, 30054, 2574, 9, 5, 15229, 6, 70, 278, 11, 5, 762, 9, 2060, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50648, 50852, 54243, 50852, 53912, 50852, 50889, 50799, 52971, 50808, 52971, 50808, 52669, 67433, 54275, 63420, 63420, 51507, 52704, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 51499, 50889, 51499, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 71163, 51263, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 51499, 50889, 51499, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 71163, 51263, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 51499, 50889, 51499, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 71163, 51263, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 51499, 50889, 51499, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 64606, 64606, 71163, 51263, 60105, 50889, 66170, 52864, 53724, 52483, 51507, 52605, 53724, 52446, 52343, 52815, 53724, 52596, 51632, 52961, 53724, 50805, 66170, 52864, 53724, 52483, 51507, 52605, 53724, 52446, 52343, 52815, 53724, 77534, 50816, 53533, 64606, 64606, 74187, 51200, 65081, 71685, 51507, 55107, 60105, 50889, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 64198, 64198, 52413, 73995, 52961, 69182, 69182, 53724, 72116, 50799, 52551, 50805, 52551, 50805, 52237, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 64198, 64198, 52413, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 56489, 56489, 51507, 73995, 52815, 56489, 56489, 51507, 77534, 50816, 53533, 64606, 64606, 74187, 51200, 65081, 71685, 51507, 55107, 55152, 52961, 50816, 50805, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 76938, 51632, 73995, 52961, 69182, 69182, 53724, 72116, 50799, 56489, 56489, 51507, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 60430, 60430, 52343, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 52160, 50808, 52160, 50808, 52343, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 69182, 69182, 53724, 77534, 50816, 53533, 64606, 64606, 74187, 51200, 65081, 71685, 51507, 55107, 60105, 50889, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 61139, 61139, 51704, 73995, 52961, 60430, 60430, 52343, 72116, 50799, 52971, 50805, 52971, 50805, 52669, 73995, 52864, 52971, 50805, 52971, 50805, 52669, 52504, 52483, 52971, 50805, 52971, 50805, 52669, 73995, 52605, 58157, 58157, 51860, 52504, 52446, 56489, 56489, 51507, 73995, 52815, 56489, 56489, 51507, 77534, 50816, 53533, 64606, 64606, 74187, 51200, 65081, 71685, 51507, 55107, 55152, 52961, 50816, 50805, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 76938, 51632, 73995, 52961, 69182, 69182, 53724, 72116, 50799, 56489, 56489, 51507, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 60430, 60430, 52343, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 52160, 50808, 52160, 50808, 52343, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 69182, 69182, 53724, 77534, 50816, 53533, 64606, 64606, 51507, 55107, 60105, 50889, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 76938, 52413, 73995, 52961, 69182, 69182, 53724, 72116, 50799, 52551, 50805, 52551, 50805, 52237, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 64198, 64198, 52413, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 56489, 56489, 51507, 73995, 52815, 56489, 56489, 51507, 77534, 50816, 53533, 64606, 64606, 74187, 51200, 65081, 71685, 51507, 55107, 55152, 52961, 50816, 50805, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 76938, 51632, 73995, 52961, 69182, 69182, 53724, 72116, 50799, 56489, 56489, 51507, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 60430, 60430, 52343, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 52160, 50808, 52160, 50808, 52343, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 69182, 69182, 53724, 77534, 50816, 53533, 64606, 64606, 74187, 51200, 65081, 71685, 51507, 55107, 55152, 52961, 50816, 50805, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 61139, 61139, 51704, 73995, 52961, 60430, 60430, 52343, 72116, 51034, 52971, 50805, 52971, 50805, 52669, 73995, 52864, 52971, 50805, 52971, 50805, 52669, 52504, 52483, 52971, 50805, 52971 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 4246, 10, 24896, 8, 41, 21979, 8669, 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, 33558, 8, 1372, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 71802, 50932, 56929, 73024, 50825, 51081, 50820, 51405, 53223, 50951, 50870, 51081, 50825, 51405, 52928, 52994, 52378, 54113, 51109, 50951, 50870, 51081, 50835, 51405, 52953, 50951, 50863, 51081, 50834, 51405, 53040, 52813, 51108, 51951, 64951, 50835, 51081, 50834, 51405, 53162, 50951, 50825, 51081, 50820, 51405, 52725, 52682, 51199, 52994, 51312, 50951, 50825, 51081, 50834, 51405, 52920, 50951, 50829, 51081, 50820, 51405, 50820, 50799, 52994, 52996, 54113, 51056, 50951, 50829, 51081, 50841, 51405, 53576, 50951, 50825, 51081, 50834, 51405, 52641, 52813, 51199, 51951, 51480, 50951, 50829, 51081, 50841, 51405, 52417, 50951, 50825, 51081, 50834, 51405, 53040, 52682, 50995, 52994, 51312, 50951, 50829, 51081, 50839, 51405, 52878, 51727, 53474, 50841, 50951, 50829, 51081, 50820, 51405, 53068, 51338, 50894, 59541, 51806, 52813, 51411, 63536, 50951, 50820, 51081, 50846, 51405, 52738, 51181, 53474, 51031, 50951, 50835, 51081, 50839, 51405, 50820, 54293, 51460, 52994, 51108, 52682, 74680, 53837, 50863, 52562, 70452, 50839, 51081, 50818, 51405, 77845, 69586, 50901, 51136, 50901, 65738, 51246, 65909, 50829, 51081, 50820, 51405, 52905, 51727, 50980, 51951, 50981, 52813, 51330, 54074, 50834, 52562, 68636, 50825, 51081, 50839, 51405, 50839, 51361, 50834, 51064, 50901, 67291, 51136, 50892, 51246, 70452, 50829, 51081, 50839, 51405, 50841, 55545, 50980, 52994, 52048, 54113, 51480, 52620, 50835, 52562, 75766, 50829, 51081, 50839, 51405, 73816, 50825, 51064, 51121, 50929, 51121, 51136, 50845, 51246, 63698, 50829, 51081, 50841, 51405, 53068, 51727, 51235, 52994, 51775, 54113, 51363, 54074, 50841, 52562, 68545, 50834, 51081, 50841, 51405, 53268, 63609, 51064, 51121, 50929, 51121, 51136, 51121, 51246, 51177, 50951, 50834, 51081, 50841, 51405, 50828, 54293, 51227, 56929, 51148, 51951, 51490, 52358, 50828, 52562, 68545, 50829, 51081, 50828, 51405, 59912, 50820, 51064, 51212, 50929, 51101, 51136, 51242, 51246, 68545, 50835, 51081, 50834, 51405, 52762, 51727, 51345, 61394, 50834, 52562, 65909, 50834, 51081, 50846, 51405, 50841, 51361, 50834, 76702, 65738, 51136, 50901, 51246, 61352, 50825, 51081, 50841, 51405, 50839, 55545, 51030, 52994, 51134, 52813, 52025, 52620, 50834, 52562, 68545, 50829, 51081, 50841, 51405, 61110, 54804, 50444, 51727, 51907, 52493, 72525, 50873, 65738, 51136, 50845, 51246, 63698, 50829, 51081, 50820, 51405, 53083, 51338, 50821, 52562, 63698, 50839, 51081, 50828, 51405, 57150, 52060, 60053, 51553, 53137, 51181, 50952, 52521, 51376, 53058, 50838, 76702, 65738, 51136, 50845, 51246, 65909, 50835, 51081, 50834, 51405, 57620, 51224, 50820, 54293, 51379, 52200, 51012, 52813, 52407, 51951, 77005, 56874, 50837, 52562, 61352, 50820, 51081, 50818, 51405, 50883, 65945, 51064, 50873, 51136, 50873, 65738, 51246, 63698, 50829, 51081, 50839, 51405, 52905, 51727, 51160, 51721, 52279, 51135, 50834, 52562, 57945, 50835, 51081, 50839, 51405, 52925, 51721, 51033, 51931, 51064, 50873, 67291, 51136, 50845, 51246, 61352, 50834, 51081, 50839, 51405, 50841, 55545, 51167, 51643, 52466, 51135, 50835, 52562, 53130, 50323, 50834, 51081, 50839, 51405, 53041, 51721, 50894, 51468, 51064, 51121, 50929, 51121, 51136, 50901, 51246, 63698, 50835, 51081, 50841, 51405, 53068, 51727, 50991, 52185, 51033, 61394, 50841, 52562, 65909, 50835, 51081, 50828, 51405, 52881, 51652, 52227, 50829, 51064, 51121, 50929, 51100, 51136, 51101, 51246, 51101, 50951, 50834, 51081, 50841, 51405, 50828, 54293, 51167, 52620, 50828, 52562, 68545, 50834, 51081, 50828, 51405, 57829, 51721, 50806, 68980, 51064, 51101, 50929, 51101, 51136, 51212, 51246, 57945, 50834, 51081, 50820, 51405, 52928, 51727, 51235, 52623, 50811, 51986, 57370, 51135, 50834, 52562, 68545, 50820, 51081, 50841, 51405, 50841, 50965, 53108, 50307, 54830, 50432, 52623, 51010, 51555, 50938, 51931, 76702, 57662, 51136, 50901, 51246, 61352, 50835, 51081, 50841, 51405, 65335, 51819, 55545, 51227, 52623, 50975, 51722, 51346, 52620, 50829, 52562, 65909, 50829, 51081, 50839, 51405, 79266, 52722, 51180, 50825, 76702, 65738, 51136, 50845, 51246, 63698, 50834, 51081, 50841, 51405, 53068, 51727, 51160, 54001, 50839, 52562, 61352, 50820, 51081, 50846, 51405, 53173, 63380, 76702, 57662, 51136, 50845, 51246, 65909, 50837, 51081, 50839, 51405, 54625, 51721, 50821, 55556, 51427, 52185, 51033, 52553, 50841, 53271, 62244, 50820, 51147, 50818, 51146, 50961, 65945, 51064, 50873, 64629, 61416, 51246, 64196, 50835, 51147, 50834, 51146, 54579, 52185, 55800, 51132, 51238, 52185, 51045, 54001, 50834, 53271, 66257, 50835, 51147, 50839, 51146, 52667, 51721, 50948, 51471, 51064, 50873, 61416, 63880, 51246, 62244, 50835, 51147, 50841, 51146, 50846, 57124, 51160, 51633, 53235, 51179, 50829, 53271, 71227, 50834, 51147, 50839, 51146, 53041, 51633, 50940, 51956, 51064, 51121, 50970, 51177, 63880, 51246, 61913, 50829, 51147, 50828, 51146, 53083, 51181, 51235, 52226, 50921, 54001, 50828, 53271, 57643, 50829, 51147, 50841, 51146, 52738, 51633, 56638, 72525, 51177, 50970, 51100, 50960, 51121, 51246, 51212, 50931, 50834, 51147, 50841, 51146, 50839, 54293, 51379, 51652, 51227, 52620, 50846, 52562, 65909, 50829, 51081, 50828, 51405, 59335, 50829, 51064, 51212, 50929, 51101, 51136, 51212, 51246, 68545, 50835, 51081, 50834, 51405, 52762, 51727, 51235, 52623, 50950, 51567, 53543, 51041, 50834, 52562, 65909, 50820, 51081, 50828, 51405, 70934, 53108, 50307, 54830, 50432, 52623, 50950, 51722, 50854, 51471, 76702, 65738, 51136, 50901, 51246, 63698, 50825, 51081, 50839, 51405, 72020, 51819, 55545, 50950, 52623, 51388, 51567, 51116, 52902, 50829, 52562, 68545, 50829, 51081, 50839, 51405, 67661, 52722, 50444, 51727, 50940, 51468, 51064, 50873, 62018, 51136, 50845, 51246, 70452, 50835, 51081, 50820, 51405, 53068, 51338, 54092, 51179, 50839, 52562, 63698, 50839, 51081, 50828, 51405, 53173, 51181, 59141, 50863, 51064, 50892, 65738, 51136, 50892, 51246, 65909, 50835, 51081, 50839, 51405, 54359, 52200, 50858, 54293, 51379, 52770, 54168, 51135, 50841, 52562, 61352, 50820, 51081, 50846, 51405, 50883, 65945, 51064, 50901, 51136, 50901, 62018, 51246, 63698, 50829, 51081, 50834, 51405, 57987, 52770, 54631, 51727, 51238, 52770, 55404, 51135, 50820, 52562, 57945, 50825, 51081, 50839, 51405, 52925, 51652, 50948, 51931, 51064, 50873, 62018, 51136, 50845, 51246, 63698, 50835, 51081, 50841, 51405, 50841, 55545, 51167, 52185, 51021, 52620, 50835, 52562, 75766, 50820, 51081, 50839, 51405, 52878, 51652, 50887, 51468, 51064, 51121, 50929, 51121, 51136, 50892, 51246, 63698, 50835, 51081, 50841, 51405, 53068, 51727, 51238, 52185, 51021, 54161, 50846, 52562, 57945, 50829, 51081, 50828, 51405, 52881, 71973, 51064, 51121, 50929, 51100, 51136, 51101, 51246, 51101, 50951, 50829, 51081, 50841, 51405, 58965, 51652, 50882, 54293, 51175, 51721, 51354, 52553, 50841, 52562, 65909, 50829, 51081, 50841, 51405, 59335, 50834, 51064, 51101, 50929, 51101, 51136, 51242, 51246, 57945, 50834, 51081, 50820, 51405, 52928, 51727, 51238, 52623, 50811, 51986, 57370, 51135, 50820, 52562, 65909, 50834, 51081, 50841, 51405, 77641, 53108, 50307, 54830, 50432, 52623, 51010, 51555, 50917, 51931, 76702, 65738, 51136, 50845, 51246, 61352, 50825, 51081, 50839, 51405, 61508, 51819, 55545, 50980, 52623, 50975, 51722, 51346, 52902 ]
[ 0, 250, 15352, 30054, 8, 17627, 17274, 3152, 2125, 19, 10, 7212, 20889, 6, 4246, 10, 13602, 6757, 6, 2382, 3459, 8669, 6, 21072, 6, 6755, 12547, 6, 8, 1076, 560, 31365, 25999, 4, 20, 15229, 16, 11, 5, 762, 9, 381, 538, 8, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 9712, 5933, 4, 20, 33215, 16739, 9, 83, 6, 381, 6, 211, 6, 83, 6, 8, 381, 31473, 10, 1472, 9, 10563, 8, 1313, 1007, 7, 5, 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 ]	[ 57333, 54468, 51003, 51089, 51542, 50913, 50362, 50990, 52207, 70691, 51495, 51797, 51023, 51961, 50416, 51385, 52015, 51039, 56138, 57051, 51495, 52460, 51340, 51698, 55473, 55487, 51349, 51562, 51023, 71732, 50809, 66012, 51126, 50433, 51089, 67608, 51495, 51679, 50913, 52514, 50791, 54758, 51385, 51310, 66012, 58271, 51023, 51363, 50903, 50887, 69327, 59593, 51374, 50977, 51495, 56777, 50813, 66012, 51319, 54468, 59084, 50890, 52029, 51102, 52514, 51039, 56138, 57051, 51089, 51244, 50903, 50890, 64229, 55487, 51185, 51091, 50913, 60615, 51421, 65176, 51349, 50918, 51570, 79683, 66164, 51126, 53884, 50445, 51385, 50914, 51955, 50887, 69327, 79626, 51023, 69960, 51910, 51177, 66012, 51319, 50457, 78985, 53053, 59084, 50890, 52029, 51102, 52514, 50415, 51083, 51675, 51020, 51204, 51208, 51191, 54997, 52208, 68919, 52208, 51039, 56138, 51128, 51768, 50890, 64229, 55487, 51137, 51790, 50798, 50809, 66012, 51126, 50433, 51020, 51191, 51208, 51364, 51570, 79683, 51180, 56138, 51126, 50445, 51083, 51255, 50450, 51020, 71547, 50887, 69327, 59593, 51349, 50942, 51083, 73202, 50813, 66012, 51319, 50461, 57337, 52208, 66346, 52208, 53447, 50915, 51268, 50995, 50913, 50362, 50990, 52207, 70691, 51023, 51141, 56063, 51128, 53884, 51768, 50890, 64229, 70001, 51083, 51253, 51268, 55665, 51181, 51127, 66012, 60615, 59093, 51208, 50807, 51570, 79683, 50444, 51023, 51204, 50913, 60615, 62156, 55064, 54939, 51083, 51400, 51268, 51363, 69327, 73925, 54647, 51374, 60665, 50862, 66012, 51319, 50457, 51020, 65922, 54707, 52570, 76215, 52570, 70973, 51091, 51089, 64250, 50890, 52029, 51102, 52514, 50415, 51349, 51097, 51039, 56138, 51128, 51768, 50890, 64229, 55487, 51349, 51047, 51023, 51351, 51385, 67777, 50809, 66012, 51126, 51570, 79683, 50444, 51089, 51134, 66012, 58271, 51023, 51115, 50903, 50887, 69327, 51000, 53462, 50813, 66012, 51319, 54468, 51134, 51089, 74910, 50890, 52029, 51102, 52514, 51039, 56138, 79755, 51023, 51412, 50426, 51385, 51365, 50903, 50890, 64229, 64463, 51185, 69467, 51349, 51134, 51023, 66713, 50809, 66012, 51126, 51570, 79683, 50444, 51385, 51204, 66012, 58271, 51349, 51177, 51089, 61737, 50887, 69327, 59593, 51602, 50972, 66012, 51319, 50457, 51023, 50942, 53053, 50915, 51137, 51351, 51208, 51419, 51083, 54805, 50890, 52029, 51102, 52514, 54997, 52379, 68919, 52379, 50415, 51020, 50915, 51039, 56138, 51128, 51768, 50890, 64229, 55487, 51137, 51790, 51208, 51291, 51020, 51241, 66012, 60615, 50809, 51570, 79683, 50444, 51083, 51363, 66012, 58271, 51020, 76536, 50887, 69327, 59593, 51181, 50942, 51083, 71382, 50813, 66012, 51319, 53447, 50915, 51023, 58747, 50890, 52029, 51102, 52514, 57337, 51696, 66346, 51696, 50415, 51268, 51127, 51039, 56138, 57051, 64229, 64903, 54334, 51181, 51103, 51023, 58747, 50809, 66012, 51126, 51570, 79683, 50443, 51268, 51534, 50444, 51083, 51233, 50903, 55064, 55962, 60615, 54086, 51181, 51242, 51023, 51121, 51782, 51698, 57148, 51000, 50455, 51374, 50866, 51268, 51252, 51083, 72492, 66012, 71797, 50862, 54468, 50845, 51349, 51003, 51089, 52069, 51023, 50889, 51385, 61025, 50890, 52029, 51102, 52514, 54707, 55198, 76215, 55198, 56063, 51128, 53884, 50426, 64229, 64903, 54334, 51349, 51452, 51023, 51351, 51385, 76270, 50809, 66012, 51126, 51570, 79683, 51180, 56138, 58271, 51023, 51480, 50903, 50887, 69327, 59593, 51374, 50977, 51089, 63054, 50813, 66012, 51319, 54468, 50915, 51349, 51241, 51089, 50995, 51385, 73202, 50890, 52029, 51102, 52514, 50415, 51023, 51411, 56063, 51128, 53884, 51302, 55454, 59392, 56171, 51023, 54071, 50428, 51089, 52783, 50432, 72383, 51023, 52011, 51185, 51013, 52615, 51259, 54350, 50798, 50820, 62083, 53983, 53498, 56069, 51374, 50893, 51374, 51162, 51385, 50943, 51206, 52572, 53595, 51640, 51074, 51553, 55079, 51456, 53137, 51374, 77931, 50977, 52376, 51060, 51224, 54814, 67003, 50799, 51385, 51025, 52226, 57603, 50890, 52029, 51102, 52514, 50415, 51349, 51419, 51089, 51115, 51023, 51025, 51039, 56138, 63140, 52226, 50865, 51768, 50890, 64229, 70001, 51023, 51134, 51385, 51310, 50431, 52226, 59099, 51349, 50955, 66012, 60615, 52444, 51089, 51412, 52029, 51102, 52514, 50439, 51349, 51244, 52226, 63322, 73896, 53884, 50445, 51023, 75577, 51633, 65114, 51089, 51412, 50903, 50887, 69327, 70185, 52226, 50948, 53462, 50813, 66012, 51319, 50457, 51268, 78584, 52226, 51116, 59373, 50915, 51268, 51790, 51208, 51675, 52029, 51102, 50362, 50990, 55180, 50913, 51128, 53884, 50422, 52135, 78907, 51340, 51698, 55473, 55487, 51910, 51103, 51083, 50983, 66012, 60615, 52444, 50913, 52514, 50791, 50886, 51180, 56138, 51126, 50445, 51208, 70269, 69327, 73925, 66280, 51268, 79100, 51633, 50940, 66012, 51319, 54281, 68894, 51194, 51281, 51397, 51208, 51003, 50913, 50362, 50990, 52207, 70691, 51633, 51091, 51039, 56138, 63140, 51089, 61887, 50426, 51340, 51698, 55473, 64463, 52135, 58466, 51374, 68679, 50807, 66012, 60615, 50809, 54360, 51397, 51281, 58543, 52514, 50791, 67941, 52135, 79959, 51089, 51221, 66012, 51126, 50446, 52226, 68366, 51281, 51233, 69327, 73925, 50887, 50452, 51633, 59349, 51208, 54618, 50798, 50813, 66012, 51319, 50460, 52226, 61982, 51633, 50991, 54468, 51134, 51385, 51419, 51089, 51542, 51023, 51351, 52029, 51102, 50362, 50990, 50890, 51039, 56138, 79755, 52226, 51790, 51768, 50890, 64229, 55487, 51385, 51191, 51023, 51191, 51089, 55335, 60615, 51421, 65176, 51349, 51003, 51570, 79683, 50444, 51089, 51400, 50903, 55064, 55962, 60615, 54086, 51349, 51177, 51023, 51203, 69327, 73925, 64985, 52226, 51754, 51910, 50987, 51385, 63834, 50862, 66012, 51319, 63065, 50915, 51385, 51264, 52226, 59407, 50890, 52029, 51102, 52514, 56063, 51128, 53884, 50423, 52226, 50925, 51768, 50890, 64229, 70001, 51061, 50873, 51281, 50915, 50431, 52226, 58191, 52458, 76975, 60615, 51421, 50904, 62083, 51244, 51061, 51255, 52226, 50938, 52029, 51102, 52514, 51180, 56138, 51126, 50445, 51281, 51204, 50447, 52226, 65223, 51782, 51698, 56428, 79626, 51061, 70184, 52135, 59960, 66012, 71797, 57867, 51023, 60243, 51268, 51391, 51385, 51351, 52135, 51194, 55934, 64132, 50890, 52029, 51102, 52514, 51039, 56138, 79755, 51667, 51591, 51768, 50890, 64229, 55487, 51640, 67158, 51101, 51023, 50914, 51385, 62288, 50809, 66012, 51126, 55827, 51413, 52029, 51102, 52514, 50444, 51268, 51233, 73896, 53884, 50450, 51023, 51400, 69327, 73925, 66280, 51385, 58483, 50455, 52226, 57939, 51268, 50933, 70428, 53884, 70973, 51241, 51546, 51351, 51268, 71732, 50890, 52029, 51102, 52514, 50415, 51910, 51003, 52226, 78318, 56138, 73192, 52135, 52483, 64229, 64903, 69544, 51667, 65135, 51910, 59870, 51191, 51546, 51452, 51268, 58491, 50809, 66012, 70008, 52522, 51242, 55827, 51003, 52029, 51102, 52514, 66164, 51126, 53884, 50445, 51268, 51008, 51667, 65029, 51910, 51775, 51023, 50845, 51268, 51000, 51782, 51698, 56428, 51000, 50452, 52226, 51238, 50455, 51268, 51142, 63908, 71797, 51559, 60863, 51281, 51162, 51208, 51204, 51089, 51116, 52135, 51100, 54281, 69607, 57188, 51326, 59220, 53351, 50365, 53323, 51297, 50421, 52135, 51790, 50422, 51374, 62184, 51281, 52782, 51089, 64586, 51326, 53303, 56162, 78628, 78555, 51374, 53063, 51374, 68581, 56715, 55719, 78412, 62089, 51281, 68679, 78002, 50854, 54360, 53690, 65021 ]
[ 0, 250, 2635, 8, 19448, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 13305, 816, 5, 1049, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 21072, 6, 2236, 1021, 2678, 29, 6, 8, 10, 2382, 3459, 8669, 4, 20, 2125, 16, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 33215, 16739, 9, 272, 6, 211, 6, 163, 406, 6, 3676, 406, 6, 8, 230, 3639, 7, 63, 5679, 26709, 8, 8728, 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 ]	[ 61791, 53997, 61434, 51025, 56978, 50866, 53523, 51484, 76964, 50876, 51484, 55203, 51277, 76964, 50876, 51484, 50447, 51026, 52800, 50900, 51345, 50861, 62272, 50924, 50453, 50916, 69780, 50902, 54655, 57966, 53997, 51452, 50900, 51452, 50861, 51025, 54439, 52188, 57267, 51025, 71090, 55513, 54417, 51026, 52800, 50900, 51345, 50861, 62272, 50924, 50453, 50916, 69780, 50902, 54655, 57966, 53997, 51452, 50900, 51452, 69640, 52817, 61784, 52756, 55656, 52756, 70217, 53719, 51680, 57267, 51025, 71090, 50447, 51026, 54939, 51085, 80151, 66096, 55726, 50876, 53211, 50902, 54655, 57966, 53997, 51452, 50900, 51452, 50861, 51025, 52817, 56115, 52756, 64987, 53719, 60417, 53719, 52580, 76964, 50876, 51484, 50428, 52817, 52718, 76964, 50876, 51484, 53036, 72194, 52817, 56197, 51026, 50813, 53918, 55514, 51315, 71313, 51025, 71090, 50453, 55979, 54232, 54263, 57110, 53918, 50864, 54197, 51115, 50871, 51025, 53918, 50933, 50417, 53036, 51627, 53645, 51025, 71090, 50435, 51050, 52781, 51247, 51115, 51050, 51115, 50900, 51115, 50871, 51397, 50876, 51397, 50449, 53036, 57186, 53918, 50838, 53997, 51115, 50900, 71313, 66096, 51025, 53036, 59834, 53036, 53004, 52817, 50932, 53523, 51101, 50871, 66096, 51025, 71090, 50435, 50900, 52781, 51085, 51115, 50900, 51025, 50916, 66096, 51025, 55895, 51025, 50916, 77208, 53036, 66983, 54615, 50838, 53997, 51115, 50900, 51115, 50861, 51025, 53918, 54177, 52817, 52688, 50861, 51025, 71090, 52756, 70217, 53719, 51283, 50435, 51026, 52781, 51085, 51101, 50900, 51101, 50861, 51025, 71090, 50447, 51026, 52800, 51085, 80151, 66096, 55726, 50876, 53211, 50902, 54655, 57966, 53997, 51115, 50900, 51115, 50861, 51025, 52817, 56115, 52756, 64560, 53719, 60417, 53719, 52580, 68622, 72917, 50428, 52817, 51309, 50435, 56437, 50876, 50915, 50437, 53036, 51277, 55203, 56714, 50916, 60964, 52817, 53086, 50861, 54417, 51026, 50813, 53918, 52985, 51315, 71313, 51025, 71090, 50453, 55979, 54232, 54263, 54026, 53918, 50825, 54197, 51115, 50871, 51025, 53918, 56127, 53036, 51627, 53645, 51025, 71090, 50435, 51050, 52781, 51247, 51115, 51050, 51115, 50900, 51115, 50871, 51397, 50876, 51397, 50450, 53036, 57186, 53918, 50933, 53997, 51115, 50900, 51115, 50871, 66096, 51025, 53719, 54177, 53664, 53109, 53664, 51080, 53645, 66096, 51025, 71090, 50435, 52206, 52781, 52206, 51115, 51085, 51025, 50916, 52188, 50861, 52188, 50450, 51026, 80151, 51025, 57966, 53918, 59354, 50876, 53211, 65972, 54263, 56517, 57966, 53997, 51115, 50900, 51115, 50861, 51025, 74973, 79629, 50964, 51047, 55979, 51080, 51848, 51422, 54439, 51025, 50876, 59290, 51214, 51115, 51026, 51115, 50861, 51025, 75992, 74973, 51357, 51047, 50953, 51397, 54263, 78017, 53918, 58867, 51170, 54417, 51240, 52800, 50973, 50813, 54615, 78559, 51025, 51270, 75830, 57966, 54263, 66983, 50902, 54655, 57966, 51415, 50813, 53918, 50864, 53997, 51422, 50900, 51422, 71869, 72917, 76704, 79953, 51133, 51397, 53918, 51283, 51848, 51115, 50423, 71869, 72917, 58319, 66272, 54350, 50877, 59258, 50915, 51019, 52781, 51069, 51047, 60027, 51025, 50968, 51025, 51889, 75830, 53036, 72486, 54615, 50825, 53997, 51115, 50900, 66096, 51025, 74973, 79629, 50964, 51047, 53918, 52984, 50564, 51422, 50417, 52817, 51627, 53523, 66096, 62245, 53961, 50916, 68839, 54014, 51214, 51115, 51026, 79628, 66096, 51025, 74973, 51357, 51047, 51443, 51047, 50449, 52817, 52989, 51026, 79628, 71313, 51025, 50452, 53200, 68926, 53719, 65241, 52756, 51277, 53997, 51422, 50900, 51422, 68622, 51301, 51422, 51088, 51422, 50964, 51714, 51848, 51115, 50417, 53719, 51627, 50423, 50899, 52524, 50916, 55863, 50861, 52810, 50876, 54350, 50861, 52781, 72917, 50968, 51101, 50447, 50877, 60582, 54356, 51088, 51109, 51093, 51109, 51889, 75830, 72917, 50968, 62034, 50927, 54655, 50964, 50813, 52817, 50864, 53997, 51115, 50900, 51115, 71090, 50968, 51025, 74973, 79629, 52047, 51047, 50964, 51115, 55979, 50827, 53169, 51047, 52456, 51047, 51848, 51422, 50417, 51089, 51397, 50419, 55979, 53004, 51020, 51115, 50422, 54263, 53591, 51092, 51134, 50425, 55979, 55656, 71090, 50968, 51025, 50428, 54263, 67825, 53918, 56626, 50964, 56585, 54263, 51627, 50435, 50927, 52781, 51214, 51115, 51026, 51115, 75992, 73895, 74973, 51357, 51047, 51401, 51047, 50953, 51047, 55683, 50866, 52517, 60844, 51083, 51397, 50444, 51020, 51115, 56195, 50813, 55683, 61391, 54417, 51208, 51134, 54744, 50813, 53169, 60381, 52800, 75992, 73895, 55683, 51109, 52517, 51109, 50832, 51025, 51270, 51025, 50455, 54615, 65241, 53918, 50864, 58439, 51115, 51176, 51115, 75992, 50968, 51025, 51375, 51047, 51357, 51047, 51815, 51047, 51019, 51397, 54263, 50933, 51848, 51115, 50417, 51083, 51397, 50420, 51089, 51115, 54263, 55470, 51208, 51134, 55979, 57104, 75992, 50968, 51025, 50428, 54263, 62727, 53918, 53720, 51325, 58572, 54263, 52718, 51279, 51115, 51027, 51115, 65893, 71090, 51113, 51047, 79629, 52124, 51047, 51011, 51115, 50441, 51118, 51397, 50443, 53918, 53624, 51089, 51115, 50447, 51023, 69204, 50876, 50866, 51889, 51025, 50452, 52817, 62356, 52817, 53217, 50973, 50813, 50953, 57185, 52817, 56551, 57966, 51019, 50813, 54734, 51115, 51050, 51115, 74228, 68485, 51113, 51047, 79629, 51616, 51047, 50945, 51397, 53036, 51006, 53169, 51151, 52088, 51047, 51848, 51422, 50417, 51118, 51397, 50419, 53918, 54202, 51061, 51115, 50422, 53918, 76695, 51023, 51134, 50435, 50945, 52781, 51085, 51115, 50900, 51115, 78338, 69640, 74973, 79629, 52047, 51047, 51019, 51047, 55979, 50838, 51813, 51047, 50441, 51118, 51397, 50444, 51089, 51115, 54263, 56197, 51092, 51134, 54263, 52989, 53918, 64599, 55979, 51277, 54795, 51115, 51026, 51115, 72917, 50968, 51101, 74973, 51357, 51047, 51401, 51047, 50953, 51397, 55979, 50932, 52517, 51151, 51813, 51151, 51848, 51115, 50417, 51083, 51397, 50420, 51020, 51115, 72784, 51101, 50968, 51101, 51208, 51134, 50428, 58034, 50933, 50431, 55979, 53998, 50902, 65524, 50866, 50433, 54263, 55643, 50927, 58572, 54263, 79218, 51214, 51115, 51026, 51115, 75992, 73895, 79757, 51357, 51047, 51401, 51047, 51443, 51047, 50441, 51083, 51397, 50444, 51061, 51115, 50447, 51208, 69204, 50973, 51904, 50606, 75830, 50876, 53211, 50902, 61219, 52817, 50825, 53997, 51115, 50900, 51115, 71090, 50968, 51025, 74973, 79629, 52047, 51047, 50964, 51134, 55979, 50933, 53169, 51047, 52456, 51047, 51848, 51422, 50417, 51089, 51397, 50420, 51020, 51115, 55979, 53591, 51092, 51134, 54263, 53272, 71090, 50968, 51025, 55979, 50933, 50428, 54263, 67825, 53918, 52739, 50964, 54350, 50927, 50813, 54263, 79218, 51214, 51115, 51026, 51115, 75992, 73895, 74973, 51357, 51047, 51401, 51047, 50953, 51047, 55683, 50866, 52517, 60844, 51083, 51397, 50444, 51020, 51115, 56195, 50813, 55683, 61391, 54417, 51208, 51134, 54744, 50813, 53169, 60381, 52800, 75992, 73895, 55683, 51109, 52517, 51109, 50832, 51025, 51270, 58761, 54615, 54529, 53918, 50827, 58439, 51115, 51176, 51115, 75992, 50968, 51025, 51375, 51047, 51357, 51047, 51815, 51047, 51019, 51397, 54263, 52984, 50564, 51115, 50417, 51083, 51397, 50420, 51089, 51115, 54263, 53591, 51208, 51134, 55979, 55656, 75992, 50968, 51025, 50428, 54263, 61924, 54263, 63221, 53918, 53720, 51325, 58572, 54263, 56480, 51279, 51115, 51027, 51115, 65893, 71090 ]
[ 0, 250, 15352, 30054, 8, 2635, 12, 20764, 5175, 14123, 3495, 2125, 14, 7630, 6568, 10, 4845, 119, 27633, 8, 1372, 6711, 4, 20, 6755, 12547, 8, 13305, 185, 5, 483, 6, 7513, 30, 21072, 6, 579, 1517, 20426, 31365, 25999, 6, 8, 38668, 11212, 4, 23973, 11, 274, 10431, 3694, 8, 278, 7, 10, 7212, 204, 73, 306, 20889, 6, 42, 8787, 15229, 1575, 10, 33215, 16739, 9, 163, 119, 6, 230, 10431, 119, 6, 274, 10431, 119, 6, 211, 6, 8, 381, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50440, 51854, 64731, 53964, 71250, 52225, 51605, 58385, 51358, 51555, 51358, 51902, 51358, 52075, 51358, 52294, 51358, 51374, 71112, 53710, 51174, 50453, 54369, 53176, 51240, 51254, 50457, 51465, 50822, 66268, 55181, 50972, 50419, 51240, 51254, 50420, 51672, 51297, 50424, 51525, 52715, 60316, 51818, 51233, 50430, 51270, 51254, 50433, 52294, 62803, 51374, 51421, 50972, 50436, 51672, 51365, 50439, 52529, 51358, 50440, 51132, 60836, 51254, 50442, 51231, 51126, 50446, 53129, 51605, 61744, 51605, 51584, 51161, 52170, 51161, 52974, 51605, 51640, 60314, 53710, 51174, 50451, 51236, 50972, 51453, 51174, 51236, 51174, 50457, 51249, 50904, 50799, 52109, 51576, 51383, 51174, 50419, 51525, 51331, 50972, 50424, 51270, 51174, 50425, 51818, 50941, 52529, 50991, 50430, 51640, 56958, 51174, 51170, 66255, 52294, 51060, 50435, 51170, 50972, 50440, 51672, 51000, 51457, 50904, 51838, 51358, 55873, 52382, 51902, 53520, 51612, 52045, 52974, 53520, 51622, 52382, 51910, 55755, 53710, 51174, 50446, 51240, 51174, 50451, 56644, 50456, 51240, 51174, 78322, 51662, 51525, 52715, 51174, 50419, 51410, 50933, 51270, 50838, 50424, 51719, 50941, 52414, 51048, 51910, 51370, 51174, 50429, 51249, 64408, 50801, 65924, 51006, 50434, 51672, 54034, 51838, 51291, 51910, 71112, 53710, 51174, 50440, 51457, 63839, 67446, 52948, 50844, 55894, 51174, 51236, 57299, 52287, 67235, 50801, 50865, 51383, 59781, 52187, 50918, 51529, 51060, 51525, 51331, 50972, 50799, 51270, 51006, 50415, 68879, 50419, 51910, 61136, 69734, 75570, 52529, 51060, 50424, 50856, 63977, 52688, 51981, 77045, 53927, 60137, 52690, 51244, 50430, 51615, 51605, 58128, 51358, 51902, 51605, 51612, 51605, 51622, 51358, 51137, 71112, 53710, 51174, 50435, 51240, 51254, 50440, 51555, 51358, 56644, 50446, 51240, 67042, 51410, 70792, 51525, 52715, 51174, 50455, 51457, 53820, 51270, 51079, 50460, 51672, 51000, 50799, 52529, 50865, 51137, 58101, 51174, 50419, 51622, 65924, 51254, 50422, 52109, 50907, 51249, 64367, 52326, 51447, 50424, 51656, 51036, 58385, 51605, 51584, 51605, 52170, 51605, 52075, 51605, 52529, 51358, 51349, 55755, 51370, 50972, 50430, 51236, 51174, 51556, 51174, 51236, 51174, 50440, 51383, 69655, 51465, 51254, 50445, 51525, 51331, 55437, 56461, 67235, 51270, 70347, 51288, 50865, 51349, 56958, 51174, 51170, 51174, 50461, 57726, 51170, 50972, 52478, 53655, 51862, 50419, 52332, 51358, 55873, 51605, 51584, 52045, 51612, 52045, 52974, 52045, 51529, 52045, 51181, 71112, 53710, 51174, 50424, 57494, 61103, 51174, 51532, 50972, 50430, 59969, 57869, 54310, 65881, 51174, 50440, 51410, 52431, 52287, 50372, 55913, 52715, 51174, 50445, 52948, 50933, 51270, 52985, 51818, 51210, 50451, 52033, 50865, 52332, 65961, 51370, 51174, 50455, 52948, 51142, 65095, 65924, 51006, 50460, 51457, 65540, 51881, 51605, 54030, 50918, 51181, 51291, 63890, 50972, 53069, 51236, 51006, 50424, 51719, 67700, 51174, 51236, 67012, 55450, 51383, 68232, 51719, 51852, 52594, 51421, 51174, 50440, 51181, 60761, 50865, 51289, 50865, 51335, 51091, 51270, 51006, 50445, 51266, 50865, 51733, 59553, 69734, 57299, 51600, 50978, 52405, 50978, 51289, 61583, 51170, 53581, 52033, 51605, 58128, 51291, 51555, 52045, 51567, 52045, 52075, 53520, 51416, 51358, 51266, 52903, 51733, 52903, 50801, 53710, 51174, 51206, 53520, 50461, 51240, 51254, 52478, 51476, 51445, 56644, 50424, 51240, 51254, 50428, 51231, 56789, 58385, 50983, 51525, 52715, 51174, 50434, 51327, 61943, 51079, 50439, 51457, 69506, 51416, 58101, 51174, 50443, 51818, 59002, 51270, 51254, 50449, 51818, 52805, 51711, 51161, 55199, 51161, 51416, 51358, 63890, 50972, 50454, 51981, 53007, 51236, 51174, 50461, 50791, 51174, 51236, 51174, 52177, 53171, 72593, 51383, 50972, 50422, 56461, 51679, 50424, 51525, 52715, 51174, 50429, 51270, 51174, 50434, 52225, 51048, 51416, 50991, 51093, 50805, 51304, 52201, 50972, 51170, 50972, 50440, 51266, 50917, 51733, 74508, 51174, 50445, 51838, 51358, 61744, 51291, 52089, 52045, 51902, 52045, 51612, 52045, 51910, 50918, 51107, 52919, 51384, 52919, 50801, 53710, 64533, 51240, 70347, 52571, 51748, 56644, 50461, 51249, 71402, 51174, 52478, 55873, 51291, 51525, 52715, 51174, 50419, 51672, 62184, 51457, 50367, 52051, 77829, 51818, 58594, 52187, 51036, 51910, 59218, 51174, 50434, 52948, 54715, 65924, 51006, 50439, 52287, 68167, 56660, 51358, 51910, 51358, 63890, 57997, 53927, 57013, 51236, 57299, 54310, 55316, 51174, 51236, 51006, 50454, 56461, 55735, 55450, 51383, 50838, 50460, 64746, 61561, 51491, 51101, 51600, 51101, 51525, 52715, 51174, 52478, 51270, 61784, 51357, 51242, 51558, 51242, 50424, 51910, 61136, 63977, 63794, 51107, 51242, 51384, 51242, 50429, 50856, 69734, 51006, 50433, 52109, 64248, 52326, 52431, 51249, 51126, 51656, 51605, 58385, 51358, 51584, 51605, 52170, 51605, 52075, 51605, 51349, 51358, 51488, 52151, 51905, 52151, 50801, 53710, 51174, 50440, 51240, 51079, 50445, 50791, 64533, 51240, 51254, 50455, 51465, 56109, 51525, 52715, 51174, 50460, 56461, 61982, 51270, 51079, 52177, 52287, 68349, 58358, 51060, 51349, 56958, 51174, 50422, 53927, 73309, 51270, 51254, 50428, 52690, 51080, 50429, 52187, 51605, 55873, 51291, 51555, 51358, 51902, 51358, 51612, 51358, 51137, 51358, 51266, 51452, 51733, 51452, 63890, 50972, 50434, 51236, 51174, 50440, 51410, 51806, 50791, 51174, 51236, 51174, 50445, 51383, 55437, 54310, 51309, 54876, 50809, 56660, 50830, 51525, 52715, 70347, 51270, 51174, 50457, 51488, 51111, 51905, 51111, 50461, 51137, 51048, 56644, 51170, 50972, 51809, 51266, 51242, 51733, 51242, 50418, 51170, 51174, 50424, 58358, 51161, 52089, 51605, 51902, 51605, 52170, 51605, 51640, 51605, 51600, 51945, 52405, 51945, 52060, 60329, 52060, 58607, 52060, 57307, 52102, 52916, 52414, 50807, 51553, 52444, 51719, 52140, 51553, 54790, 51553, 52510, 51672, 71583, 52187, 50991, 51456, 59787, 51456, 59248, 52109, 51128, 50452, 51456, 54139, 51672, 55293, 52109, 50863, 52414, 51112, 51224, 53793, 51224, 50809, 51601, 51224, 59748, 51863, 51091, 54876, 51091, 52089, 51161, 51722, 51358, 52170, 51358, 50804, 60751, 59969, 50837, 53924, 65213, 51456, 70425, 51224, 55178, 55602, 50860, 51326, 51923, 53771, 60340, 75331, 55602, 51059, 52187, 69584, 51091, 50989, 51091, 50973, 50983, 51324, 59770, 51174, 51206, 52382, 52478, 51240, 51079, 50424, 51378, 52959, 51174, 50429, 51240, 51254, 50434, 56213, 72114, 76551, 56190, 57358, 51331, 50972, 50440, 51270, 51254, 50441, 56213, 67505, 50791, 51174, 50448, 56213, 54554, 51270, 59111, 53863, 51009, 50916, 50809, 57031, 69315, 51315, 79000, 51174, 50461, 51236, 51174, 52478, 51086, 51291, 50791, 51174, 51236, 51174, 50423, 51383, 66665, 50916, 51060, 51525, 52715, 51174, 50434, 50968, 65924, 51174, 50439, 53771, 64726, 50967, 56644, 51170, 50972, 50445, 53077, 59021, 55507, 64533, 53771, 51029, 50877, 50983, 51028, 50983, 51378, 59770, 51174, 50455, 51240, 50972, 50461, 51040, 60194, 51174, 52478, 50989, 51060, 51240, 51174, 50423, 50968, 70002, 50983, 51028, 50983, 51525, 51331, 66665, 51270, 51006, 50434, 55343, 55188, 51174, 50439, 51270, 67446, 55343, 51029, 61783, 57213, 51324, 59770, 64533, 51236, 51006, 50455, 56644, 51236, 67163, 51378, 51112, 51383, 51006, 52478, 55343, 52035, 50303, 50830, 51525, 52715, 51174, 50423, 69315, 51270 ]
[ 0, 250, 15352, 30054, 5175, 2125, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 6755, 12547, 6, 38668, 22052, 6, 3459, 13305, 6, 8, 3459, 9590, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 1614, 1073, 1020, 20889, 6, 2351, 10, 19448, 8, 5679, 26709, 5466, 4, 20, 33215, 16739, 9, 230, 6, 1918, 406, 6, 381, 73, 597, 10431, 6, 163, 406, 6, 8, 163, 401, 3639, 7, 63, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50454, 53897, 50897, 50455, 50964, 61076, 53795, 50897, 71926, 50799, 56734, 50897, 51207, 51692, 50960, 53866, 50970, 51662, 51443, 51538, 50415, 50947, 51692, 51032, 51677, 50420, 51384, 50873, 52158, 50813, 54057, 50813, 54337, 50836, 57655, 50836, 71519, 64088, 52870, 51304, 50873, 51816, 50836, 52930, 50836, 53826, 50836, 58385, 50857, 63132, 65357, 52667, 51284, 51221, 51890, 50812, 52569, 50812, 52930, 50836, 55199, 50813, 57716, 56598, 53116, 51201, 51124, 52003, 50836, 52092, 50836, 52569, 50836, 54030, 50864, 57655, 71016, 53041, 51107, 51100, 52158, 50828, 52092, 50836, 53775, 50813, 55873, 56598, 53083, 51182, 51103, 52951, 50828, 52126, 51103, 52627, 51103, 51246, 51447, 50986, 51314, 50960, 51314, 50998, 51080, 50947, 51080, 58128, 51742, 50964, 51103, 51065, 50841, 55746, 53643, 50812, 53805, 50827, 51228, 53229, 55001, 52003, 50812, 51444, 50827, 50927, 55718, 52818, 51890, 50812, 51504, 50827, 50945, 55718, 54248, 52775, 50812, 52028, 50827, 51213, 55718, 52621, 51771, 50812, 51207, 50827, 50953, 55718, 54656, 53168, 50991, 51207, 51692, 50960, 53866, 50970, 51662, 50947, 51692, 51032, 51677, 51443, 51518, 51065, 54926, 51384, 50873, 52158, 50813, 54057, 50813, 54337, 50812, 57655, 50836, 71519, 64088, 55647, 51304, 50873, 51816, 50813, 52930, 50813, 53826, 50857, 58385, 50857, 63132, 65357, 54814, 51284, 51221, 51890, 50810, 52569, 50810, 52930, 50813, 55199, 50813, 57716, 56598, 50841, 52177, 51201, 51124, 52003, 50862, 52092, 50862, 52569, 50862, 54030, 50864, 57655, 71016, 54477, 51107, 51100, 52951, 50844, 52158, 50834, 52092, 50813, 53775, 50813, 55873, 56598, 55739, 51182, 51486, 52126, 51742, 52627, 51742, 51246, 52783, 50986, 52168, 50960, 52168, 50998, 51680, 50947, 51680, 53807, 51448, 58128, 51448, 50964, 51359, 51065, 50841, 52552, 51065, 51306, 50416, 51065, 51129, 50417, 51065, 51129, 50418, 51065, 54605, 51065, 58640, 51065, 53991, 51065, 61599, 51065, 50825, 57211, 52690, 52151, 52303, 52151, 51410, 52151, 51443, 51591, 53080, 51502, 51406, 56260, 51303, 52151, 51249, 52151, 51327, 52151, 50420, 51207, 51592, 63192, 52992, 50960, 51680, 55722, 57265, 50970, 51680, 53782, 51437, 52539, 56802, 50947, 60934, 51064, 51283, 52455, 53594, 51067, 50932, 50953, 51221, 59491, 53495, 53068, 51960, 50453, 50927, 68429, 52455, 53495, 50839, 71965, 50905, 51410, 50892, 51303, 50845, 51249, 50974, 50964, 51351, 52455, 57226, 50960, 52335, 50420, 50998, 51592, 63192, 52992, 51169, 51592, 55722, 53575, 51067, 51680, 50964, 53097, 51437, 52539, 52950, 52303, 50901, 51410, 50901, 51465, 50901, 51651, 50901, 51292, 51627, 50964, 51241, 52455, 53594, 59491, 53495, 53068, 69714, 50953, 50901, 54003, 52539, 50839, 50799, 52326, 51939, 51476, 52140, 51465, 52140, 51231, 51318, 51327, 51318, 51818, 51318, 51069, 51241, 52455, 53420, 55722, 53495, 52992, 51131, 52140, 70199, 51311, 52783, 51069, 53704, 51437, 52539, 52950, 50986, 51447, 51069, 50914, 52455, 56432, 50903, 68619, 53495, 54525, 51981, 50812, 51955, 51239, 56597, 50964, 52955, 78982, 54003, 52539, 50839, 67718, 51310, 51303, 51477, 51651, 51477, 51672, 51318, 51818, 51318, 51796, 50943, 52006, 51502, 51044, 64706, 53495, 52992, 50970, 51680, 55722, 53575, 51169, 52015, 51796, 53530, 51437, 52539, 52950, 51292, 51627, 51796, 50943, 52455, 53594, 51410, 50822, 51303, 50912, 51651, 50827, 51672, 50827, 51457, 50822, 51067, 51749, 59491, 53495, 53068, 69714, 51325, 53530, 51179, 53495, 50839, 72412, 51662, 52303, 52140, 51410, 52140, 51303, 51677, 51249, 51422, 51327, 51803, 51443, 51241, 52006, 51502, 51044, 64706, 53495, 61266, 51207, 52015, 51768, 51044, 57265, 50960, 51244, 66962, 51413, 54003, 52539, 52950, 50970, 51542, 52455, 53594, 51067, 51480, 59491, 53495, 53068, 50947, 50995, 51960, 50453, 50927, 66313, 52455, 53495, 50839, 71965, 51534, 51410, 51363, 51465, 51363, 51249, 51412, 50964, 51191, 52455, 64706, 53495, 52992, 50986, 51680, 55722, 53575, 50947, 52015, 75908, 54003, 52539, 52950, 55349, 50838, 52303, 51172, 52102, 50974, 51465, 50905, 51249, 50845, 50929, 51477, 51213, 51241, 52455, 53594, 59491, 53495, 53068, 69714, 51213, 50873, 54003, 52539, 50839, 50799, 54369, 50932, 51410, 51637, 51465, 51397, 51231, 51397, 51414, 51749, 51019, 51241, 52455, 53420, 55722, 53495, 50839, 51544, 60286, 50902, 53193, 51019, 53530, 51437, 52539, 56802, 50968, 50905, 50436, 73754, 56903, 51241, 52455, 56432, 50951, 71424, 68619, 53495, 54525, 51147, 61444, 50999, 51141, 51955, 51239, 53553, 73491, 54003, 52539, 50839, 71965, 51662, 52102, 51662, 51687, 52431, 51231, 51351, 51249, 51351, 51105, 51124, 52006, 51502, 51044, 64706, 53495, 60682, 51105, 50833, 51768, 51044, 57265, 51399, 53627, 51405, 50812, 51105, 53530, 51437, 52539, 54487, 51399, 56057, 51787, 50846, 51105, 51218, 52404, 51502, 51044, 60470, 51487, 51121, 54268, 53594, 59491, 53495, 54525, 51814, 60775, 50870, 51955, 51044, 50870, 54710, 53553, 52455, 53495, 54625, 50843, 50870, 71965, 51080, 51410, 51080, 51303, 51172, 51249, 51363, 51457, 51412, 51096, 51241, 53080, 51502, 59325, 51039, 53495, 50839, 51768, 51044, 53575, 51096, 54376, 51437, 52539, 52950, 51096, 51241, 52455, 53594, 51457, 50851, 51825, 50844, 52287, 59904, 51239, 53495, 53068, 51960, 50453, 52775, 50835, 51771, 56974, 51096, 50873, 52455, 53495, 54625, 51816, 50866, 78322, 51080, 51410, 51080, 51303, 51534, 51651, 51172, 51672, 51172, 51457, 51534, 51205, 51241, 52455, 57226, 51890, 51742, 51039, 53495, 50839, 51768, 51044, 53575, 51205, 53704, 51437, 52539, 52950, 51825, 50844, 51205, 51191, 52455, 53594, 59491, 53495, 53068, 51960, 50453, 51205, 52955, 70296, 54003, 52539, 50839, 61323, 51534, 51303, 51645, 51249, 51363, 51327, 51534, 50964, 51191, 52455, 53420, 55722, 53495, 50839, 51544, 53575, 50964, 53704, 51437, 52539, 52950, 51825, 50854, 50964, 51191, 52455, 56432, 50903, 68619, 53495, 50839, 51955, 51239, 53553, 50964, 53704, 51437, 52539, 50839, 50799, 53655, 52015, 51465, 50905, 51303, 50974, 51249, 50892, 50927, 51591, 52006, 51502, 51044, 64706, 53495, 52992, 51890, 50892, 55722, 53575, 51410, 51330, 51771, 50873, 54003, 52539, 52950, 51249, 50822, 51816, 51221, 52455, 53594, 51019, 51124, 59491, 53495, 54525, 51959, 54230, 51327, 51589, 56597, 52092, 51221, 50945, 53702, 52455, 53495, 50839, 78322, 51592, 51410, 52431, 51719, 52263, 51249, 51448, 52109, 51080, 51818, 51627, 51816, 51452, 53464, 51680, 52577, 51452, 51205, 51486, 52006, 51502, 51044, 64706, 53495, 50839, 51768, 51044, 53575, 54003, 52539, 50839, 51658, 51179, 53594, 51818, 50810, 52427, 60629, 51239, 53495, 54525, 52092, 53938, 52577, 50862, 51960, 50453, 52930, 50813, 50927, 52955, 58941, 50854, 66062, 52455, 53495, 54625, 57509, 50855, 61357, 51680, 51465, 51680, 51719, 51080, 51414, 51145, 51457, 51244, 50653, 50344, 50841, 51019, 51191, 52455, 64706, 53495, 50839, 51768, 51044, 53575, 70498, 54003, 52539, 52950, 51205, 51221, 52455, 53594, 51818, 58713, 51239, 53495, 53068, 51415, 50849, 69714, 70498, 54003, 52539, 50839, 50799, 52326, 50851, 52102, 50851, 51465, 50912, 51719, 50851, 51672, 50822, 51818, 50912, 62458, 66747, 51292, 50827, 51786, 50827, 53568, 50827, 61777, 50827, 51011, 51241, 52455, 55454, 53227, 55722, 53495, 54446 ]
[ 0, 4688, 14899, 5175, 2214, 19, 10, 3495, 2712, 6, 4246, 38668, 22052, 6, 21979, 9590, 6, 81, 9756, 8, 36075, 29589, 6, 8, 38668, 20535, 4, 8504, 11, 163, 428, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 2351, 10, 20902, 8, 20425, 5466, 4, 20, 33215, 16739, 9, 274, 119, 6, 230, 10431, 401, 6, 12608, 401, 6, 274, 119, 6, 8, 230, 10431, 401, 3639, 7, 63, 15352, 30054, 8, 2365, 619, 6, 5203, 11, 10, 1313, 8, 1372, 8859, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55189, 54805, 55534, 53391, 50910, 54346, 62714, 53391, 50866, 54346, 54278, 55566, 50833, 57196, 53627, 55566, 50987, 57196, 58346, 52544, 51077, 53391, 50925, 54346, 59083, 52267, 53391, 50977, 54346, 59881, 55566, 50878, 57196, 58325, 55566, 50866, 57196, 50866, 50799, 55189, 50807, 53391, 50897, 54346, 57277, 52302, 53391, 50897, 54346, 55640, 54326, 51121, 55566, 50878, 57196, 56799, 55189, 51003, 55566, 50987, 57196, 59810, 52565, 53391, 50897, 54346, 57277, 52267, 52544, 51101, 53391, 50925, 54346, 58460, 55189, 51121, 55566, 50833, 57196, 53920, 54326, 51177, 55566, 50937, 57196, 50937, 50799, 54843, 50914, 53391, 50917, 54346, 50917, 55094, 50415, 53391, 50910, 54346, 62714, 53391, 50866, 54346, 54278, 54326, 51121, 55566, 50833, 57196, 53627, 55566, 50987, 57196, 50987, 50433, 55189, 53912, 53391, 50925, 54346, 59083, 52267, 53391, 50977, 54346, 50977, 50445, 52544, 54230, 55566, 50878, 57196, 77836, 53761, 57313, 53761, 50854, 55566, 50866, 57196, 50866, 50799, 53761, 50805, 53391, 50897, 54346, 57277, 52302, 52544, 50910, 53391, 50897, 54346, 55640, 52544, 50942, 55566, 50878, 57196, 56799, 52544, 51121, 55566, 50987, 57196, 59810, 52565, 53391, 50897, 54346, 57277, 52267, 53391, 50925, 54346, 58460, 55566, 50833, 57196, 53920, 55566, 50937, 57196, 50937, 50799, 55189, 51127, 53391, 50917, 54346, 50917, 55094, 50415, 53391, 50910, 54346, 62714, 53391, 50866, 54346, 54278, 55566, 50833, 57196, 53627, 55566, 50987, 57196, 58346, 52544, 51127, 53391, 50925, 54346, 59083, 52267, 53391, 50977, 54346, 59881, 55566, 50878, 57196, 58325, 55566, 50866, 57196, 50866, 50799, 55189, 50914, 53391, 50897, 54346, 57277, 52302, 53391, 50897, 54346, 55640, 54326, 50845, 55566, 50878, 57196, 56799, 55189, 51003, 55566, 50987, 57196, 59810, 52565, 53391, 50897, 54346, 57277, 52267, 53391, 50925, 54346, 50925, 50445, 52544, 65295, 55189, 51101, 55566, 50833, 57196, 53920, 54326, 51177, 55566, 50937, 57196, 50937, 50799, 54843, 51111, 53391, 50917, 54346, 50917, 55094, 50415, 53391, 50910, 54346, 62714, 54326, 51177, 53391, 50866, 54346, 54278, 55566, 50833, 57196, 62209, 55189, 53193, 55189, 50943, 55566, 50987, 57196, 58346, 53391, 50925, 54346, 59083, 52267, 52544, 50901, 53391, 50977, 54346, 59881, 53761, 50897, 55566, 50878, 57196, 58325, 53761, 50844, 55566, 50866, 57196, 50866, 50799, 53761, 50795, 53391, 50897, 54346, 57277, 52302, 52544, 50878, 53391, 50897, 54346, 55640, 52544, 50925, 55566, 50878, 57196, 56799, 52544, 50795, 55566, 50987, 57196, 59810, 52565, 53391, 50897, 54346, 57277, 52267, 55189, 50910, 53391, 50925, 54346, 58460, 54326, 50830, 55566, 50833, 57196, 53920, 58342, 50925, 55566, 50937, 57196, 50937, 50799, 51969, 50812, 51943, 50910, 55094, 50415, 61892, 50893, 56417, 50910, 56654, 62714, 60791, 50808, 56417, 50866, 56654, 54278, 60791, 50858, 56806, 50833, 56553, 53627, 60791, 50921, 56806, 50987, 56553, 50987, 51969, 50845, 51943, 53264, 56417, 50925, 56654, 50925, 52971, 53071, 52267, 56417, 50977, 56654, 59881, 54326, 50808, 56806, 50878, 56553, 58325, 58342, 50836, 56806, 50866, 56553, 50866, 50799, 61892, 50948, 56417, 50897, 56654, 50897, 51969, 50833, 51943, 52972, 52302, 60791, 50840, 56417, 50897, 56654, 50897, 50425, 60791, 53950, 56806, 50878, 56553, 56799, 60791, 50821, 56806, 50987, 56553, 59810, 57201, 51943, 50845, 51969, 58151, 56417, 50897, 56654, 50897, 52971, 56411, 52267, 56417, 50925, 56654, 50925, 50445, 54326, 62955, 53034, 50892, 52398, 58262, 54911, 50833, 56335, 50833, 52023, 67447, 58342, 70372, 58325, 54911, 50833, 56335, 62474, 61892, 51238, 50799, 52023, 50955, 51856, 51177, 53034, 51194, 52398, 50955, 55094, 50415, 53391, 50910, 54346, 62714, 61892, 50830, 53391, 50866, 54346, 50866, 52547, 73555, 51497, 50925, 51583, 50942, 52072, 56307, 60791, 50800, 55566, 50833, 57196, 53627, 58342, 51345, 55566, 50987, 57196, 58346, 53391, 50925, 54346, 50925, 51583, 51330, 55094, 50439, 52072, 51400, 52547, 51377, 50444, 54326, 50854, 53391, 50977, 54346, 59881, 55189, 50859, 55566, 50878, 57196, 58325, 54326, 50830, 55566, 50866, 57196, 50866, 50799, 53391, 50897, 54346, 50897, 51498, 68495, 52302, 53391, 50897, 54346, 50897, 51498, 51645, 50426, 55566, 50878, 57196, 56799, 55566, 50987, 57196, 50987, 51498, 68495, 52565, 53391, 50897, 54346, 50897, 52551, 73016, 52267, 53391, 50925, 54346, 50925, 50445, 54326, 54276, 58342, 50808, 55566, 50833, 57196, 53920, 61892, 51013, 55566, 50937, 57196, 50937, 50799, 53391, 50917, 55094, 50415, 56417, 50910, 56654, 50910, 51969, 50833, 51943, 60872, 56417, 50866, 56654, 74027, 60791, 53425, 56806, 50833, 56553, 62209, 60791, 53974, 56806, 50987, 56553, 50987, 51969, 50905, 51943, 70488, 60791, 59826, 56417, 50925, 56654, 50925, 52971, 53632, 52267, 56417, 50977, 56654, 59881, 56806, 50878, 56553, 77836, 54326, 57939, 58342, 50854, 56806, 50866, 56553, 50866, 50799, 61892, 50948, 56417, 50897, 56654, 50897, 51943, 50810, 51969, 53948, 52302, 60791, 50812, 56417, 50897, 56654, 55640, 60791, 50800, 56806, 50878, 56553, 75024, 60791, 57748, 56806, 50987, 56553, 59810, 57201, 51969, 50905, 51943, 53913, 56417, 50897, 56654, 50897, 52971, 55576, 52267, 56417, 50925, 56654, 50925, 50445, 54326, 52843, 58342, 50833, 54911, 50833, 56335, 50833, 52023, 50844, 51856, 50810, 52398, 50901, 53034, 52961, 61892, 51215, 54911, 50833, 56335, 50833, 50799, 52023, 50892, 51856, 50901, 53034, 53834, 55534, 53391, 50910, 54346, 50910, 51701, 55772, 61892, 50859, 53391, 50866, 54346, 50866, 51583, 50901, 51497, 50925, 50421, 52072, 50917, 52547, 56800, 60791, 50890, 55566, 50833, 57196, 53627, 60791, 51111, 55566, 50987, 57196, 58346, 53391, 50925, 54346, 50925, 51583, 51330, 52072, 50873, 52547, 53834, 58772, 54843, 54746, 53391, 50977, 54346, 50977, 50449, 60791, 51757, 55566, 50878, 57196, 50878, 50455, 61892, 57830, 55566, 50866, 57196, 50866, 50799, 53391, 50897, 54346, 50897, 51498, 68495, 52302, 53391, 50897, 54346, 50897, 51498, 51645, 50426, 55566, 50878, 57196, 56799, 55566, 50987, 57196, 50987, 51498, 68495, 52565, 53391, 50897, 54346, 50897, 52551, 73016, 52267, 53391, 50925, 54346, 58460, 55566, 50833, 57196, 53920, 55566, 50937, 57196, 50937, 50799, 53391, 50917, 54346, 50917, 51320, 54925, 52157, 50808, 51569, 50858, 53289, 55180, 52157, 50901, 51569, 53330, 58158, 53289, 53383, 51261, 50897, 66749, 52529, 78609, 52209, 51548, 50844, 52529, 54220, 57201, 51261, 58020, 52157, 50910, 78255, 51634, 51730, 50898, 52210, 52157, 50866, 51143, 50886, 51634, 53111, 57868, 51348, 51757, 51261, 50910, 51843, 53497, 51044, 52349, 51261, 50905, 65746, 51843, 54447, 56904, 56161, 59670, 50910, 51634, 51730, 50898, 58100, 51143, 54657, 52157, 50937, 51634, 51539, 52437, 51261, 50925, 51511, 50800, 51849, 54047, 51044, 52209, 51261, 50892, 55391, 51843, 51730, 51044, 52565, 52157, 50910, 51348, 50864, 51843, 53618, 50898, 58431, 51521, 52510, 52157, 50942, 51569, 52873, 57868, 51521, 53153, 51261, 50925, 51569, 50921, 54161, 52349, 51261, 50866, 65349, 51569, 53065, 50818, 59670, 50897, 51521, 50821, 51569, 69446, 52432, 52157, 54068, 58158, 51521, 52872, 51261, 50925, 51521, 50857, 51569, 53352, 51044, 52209, 51261, 50901, 51521, 50858, 51569, 52189, 52565, 52157 ]
[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 25306, 8, 9066, 5466, 6, 4246, 10, 6755, 12547, 6, 12280, 3275, 1725, 3109, 6, 17691, 28430, 6, 6168, 3540, 6, 8, 18558, 4, 20, 2125, 16, 278, 11, 163, 428, 538, 19, 10, 2635, 20889, 9, 6657, 741, 1685, 6, 2351, 10, 19448, 8, 3722, 13569, 9862, 4, 20, 16331, 33215, 16739, 9, 211, 119, 6, 163, 428, 6, 163, 37152, 6, 8, 163, 428, 4620, 5, 46336, 4811, 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 ]	[ 57128, 50799, 53382, 50795, 52292, 50918, 53324, 50918, 52626, 78099, 75361, 54081, 50795, 53499, 51631, 66262, 50807, 54307, 52424, 52049, 50918, 52443, 50918, 58683, 51036, 53718, 52045, 50799, 53324, 50918, 51975, 56039, 52443, 50918, 53634, 50918, 50799, 52205, 50795, 53324, 50918, 51975, 50918, 52137, 52115, 52342, 50795, 52036, 51631, 53382, 50807, 52626, 52424, 52292, 50918, 53634, 50918, 54081, 51036, 53499, 52045, 50799, 53324, 50918, 52044, 56039, 52049, 50918, 52416, 50918, 50799, 52776, 51492, 55774, 52045, 50426, 51711, 50807, 52340, 50807, 53129, 50807, 52626, 50807, 54339, 50896, 79252, 52424, 51863, 52045, 51838, 52045, 52137, 52045, 52735, 52045, 52886, 54089, 68919, 50807, 50799, 51224, 50811, 50799, 53623, 51492, 56539, 52045, 50426, 51838, 50807, 52036, 50807, 52735, 50807, 52886, 50807, 53718, 50896, 50665, 50326, 52424, 51711, 52045, 52340, 52045, 53188, 52045, 52626, 52045, 54339, 54089, 79252, 52045, 76502, 59980, 51430, 69453, 51430, 50809, 51430, 54745, 51430, 59748, 51430, 59182, 51430, 50809, 51430, 52628, 51430, 61291, 51430, 58741, 51430, 50809, 51430, 53467, 51430, 59474, 51430, 58067, 51430, 50809, 51430, 52329, 51430, 60329, 51430, 63601, 51430, 50809, 51430, 54056, 51430, 57766, 51430, 58607, 51430, 50809, 51430, 52359, 51430, 59093, 51430, 57307, 51430, 50809, 51430, 53307, 51430, 59079, 51430, 58291, 51430, 50809, 51430, 52444, 51430, 59360, 51430, 63453, 51430, 50809, 51430, 54790, 51430, 58344, 51430, 59586, 51430, 50809, 51430, 52510, 51430, 61189, 51430, 57993, 51430, 50809, 51430, 53401, 51430, 59787, 51430, 59248, 51430, 50809, 51430, 52555, 51430, 60949, 51430, 63602, 51430, 50809, 51430, 54139, 51430, 57637, 51430, 59310, 51430, 50809, 51430, 52485, 51430, 59567, 51430, 58839, 51430, 50809, 51430, 53793, 51430, 59107, 51430, 57747, 51430, 50809, 51430, 50809, 50799, 52776, 51492, 51430, 50809, 55774, 52045, 50415, 51430, 69453, 51430, 50809, 51430, 54745, 51430, 59748, 51430, 59182, 51430, 50809, 51430, 52329, 51711, 50807, 52340, 50807, 53129, 50807, 52626, 50807, 54339, 50896, 79252, 52424, 51863, 52045, 51838, 52045, 52137, 52045, 52735, 52045, 52886, 54089, 68919, 50807, 50799, 51224, 50811, 50799, 52907, 51492, 55123, 52045, 50426, 52255, 50807, 51838, 50807, 53188, 50807, 53188, 50807, 52886, 50896, 68919, 52424, 52255, 52045, 51711, 52045, 52036, 52045, 53188, 52045, 52626, 54089, 66929, 50807, 76502, 59980, 51430, 69453, 51430, 50809, 51430, 54745, 51430, 59748, 51430, 59182, 51430, 50809, 51430, 52628, 51430, 61291, 51430, 58741, 51430, 50809, 51430, 53467, 51430, 59474, 51430, 58067, 51430, 50809, 51430, 52329, 51430, 60329, 51430, 63601, 51430, 50809, 51430, 54056, 51430, 57766, 51430, 58607, 51430, 50809, 51430, 52359, 51430, 59093, 51430, 57307, 51430, 50809, 51430, 53307, 51430, 59079, 51430, 58291, 51430, 50809, 51430, 52444, 51430, 59360, 51430, 63453, 51430, 50809, 51430, 54790, 51430, 58344, 51430, 59586, 51430, 50809, 51430, 52510, 51430, 61189, 51430, 57993, 51430, 50809, 51430, 53401, 51430, 59787, 51430, 59248, 51430, 50809, 51430, 52555, 51430, 60949, 51430, 63602, 51430, 50809, 51430, 54139, 51430, 57637, 51430, 59310, 51430, 50809, 51430, 52485, 51430, 59567, 51430, 58839, 51430, 50809, 51430, 53793, 51430, 59107, 51430, 57747, 52371, 52097, 51430, 50809, 51430, 50809, 50799, 52443, 50845, 51088, 51134, 51165, 51134, 51107, 51134, 51182, 51134, 52776, 55856, 51699, 52149, 51430, 76058, 62192, 51430, 69453, 51430, 50809, 51430, 54745, 51430, 59748, 51430, 59182, 51430, 50809, 51430, 52628, 52242, 50905, 52170, 51631, 52443, 50795, 79331, 52792, 51048, 50437, 52481, 52097, 50438, 52443, 50845, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 51612, 51918, 52242, 50905, 52170, 51798, 52443, 50795, 52895, 50795, 52792, 51048, 50461, 52830, 52097, 50799, 52443, 50845, 51088, 51134, 51165, 51134, 51266, 51134, 51182, 51134, 51612, 52115, 52242, 50905, 52170, 51631, 52443, 50795, 52416, 50795, 53755, 50807, 50437, 52481, 52097, 50438, 52443, 50845, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 52290, 52045, 50450, 52443, 50795, 52895, 69189, 52371, 52097, 63441, 51134, 51165, 51134, 51107, 51134, 51182, 72038, 52443, 50795, 79331, 53602, 51021, 52203, 50865, 53767, 51021, 50437, 52481, 52097, 50438, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 53602, 50918, 52203, 50918, 55132, 51527, 50450, 52443, 50795, 52895, 69189, 52830, 52097, 63441, 51134, 51165, 51134, 51266, 51134, 51182, 72038, 52443, 50795, 52416, 50795, 52795, 51021, 52203, 50865, 56940, 51021, 50437, 52481, 52097, 50438, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 53602, 50918, 52203, 50918, 55132, 51527, 50450, 52443, 50795, 52895, 69189, 52371, 52097, 50799, 52443, 50845, 51088, 51134, 51165, 51134, 51107, 51134, 51182, 51134, 52776, 55856, 51699, 52149, 51612, 52115, 52242, 50905, 52170, 51631, 52443, 50795, 79331, 52792, 51048, 50437, 52481, 52097, 50438, 52443, 50845, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 51612, 51918, 52242, 50905, 52170, 51798, 52443, 50795, 52895, 50795, 52792, 51048, 50461, 52830, 52097, 50799, 52443, 50845, 51088, 51134, 51165, 51134, 51266, 51134, 51182, 51134, 51612, 52115, 52242, 50905, 52170, 51631, 52443, 50795, 52416, 50795, 53755, 50807, 50437, 52481, 52097, 50438, 52443, 50845, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 52290, 52045, 50450, 52443, 50795, 52895, 69189, 52371, 52097, 63441, 51134, 51165, 51134, 51107, 51134, 51182, 72038, 52443, 50795, 79331, 77176, 50865, 52355, 51021, 51900, 50865, 50437, 52481, 52097, 50438, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 77176, 50918, 52278, 51527, 52173, 56811, 52443, 50795, 52895, 69189, 52830, 52097, 63441, 51134, 51165, 51134, 51266, 51134, 51182, 72038, 52443, 50795, 52416, 50795, 62292, 50865, 52278, 51021, 52285, 50865, 50437, 52481, 52097, 50438, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 77176, 50918, 52278, 51527, 52173, 56811, 52443, 50795, 52895, 50795, 50799, 51975, 67583, 51573, 51093, 51134, 51395, 51134, 51182, 51134, 52143, 54270, 51299, 52570, 50420, 52205, 51631, 72766, 51784, 51736, 52205, 50795, 51900, 51646, 72766, 51375, 51573, 51093, 51134, 51395, 51134, 51629, 51134, 52173, 51918, 54073, 50795, 51802, 51798, 72766, 51900, 51923, 54073, 50795, 52173, 50795, 50799, 51975, 61503, 51573, 51093, 51134, 51395, 51134, 51284, 73967, 52662, 51631, 72766, 51784, 51736, 52662, 50795, 51900, 51646, 72766, 51375, 51573, 51093, 51134, 51395, 51134, 51629, 51134, 52173, 51918, 54073, 50795, 51900, 51798, 72766, 51784, 51923, 54073, 50795, 52926, 50795, 50799, 51975, 67583, 51573, 51093, 51134, 51395, 51134, 51182, 51134, 51784, 53561, 52205, 51631, 72766, 52278, 53182, 52205, 51646, 72766, 51375, 51573, 51093, 51134, 51395, 51134, 51629, 51134, 52714, 53218, 54073, 51798, 72766, 52278, 51923, 54073, 50795, 52926, 50795, 50799, 51975, 61503, 51573, 51093, 51134, 51395, 51134, 51284, 51134, 52278, 56100, 52662, 51631, 51975, 51736, 52662, 51646, 72766, 51375, 51573, 51093, 51134, 51395, 51134, 51629, 73779, 54073, 51798, 51975, 51923, 54073, 50795, 50799, 52342, 50795, 51299, 51134, 51154, 51134, 51375, 51134, 51093, 51134 ]
[ 0, 713, 8787, 5175, 15229, 6, 30291, 19, 4785, 9, 3495, 6, 16, 10, 13363, 28191, 11739, 9, 33301, 8, 1007, 4, 11281, 33938, 8, 81, 9756, 29589, 185, 5, 483, 6, 2800, 30, 5, 4066, 32343, 9, 38668, 22052, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 381, 538, 8, 6780, 10, 20902, 12447, 1001, 20889, 6, 24, 30853, 19, 10, 881, 21263, 9, 5, 33215, 13931, 163, 6, 163, 406, 6, 163, 6, 274, 10431, 119, 6, 8, 3676, 406, 6, 1271, 7, 63, 6878, 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 ]	[ 54458, 50796, 50796, 53028, 50884, 51544, 50837, 51570, 50863, 50799, 54924, 52122, 56140, 52122, 56271, 52122, 51404, 51110, 51019, 50975, 53583, 62249, 58842, 51075, 50950, 51404, 51110, 50417, 51219, 54430, 51471, 51039, 68269, 52928, 51499, 51060, 51205, 50975, 53583, 56344, 51499, 51060, 51532, 50834, 51361, 64775, 52600, 51404, 51194, 51019, 51066, 53583, 55698, 51404, 51194, 50441, 51471, 51180, 70130, 53068, 51499, 50866, 51205, 50993, 53583, 56688, 51499, 50977, 51647, 52579, 51404, 55309, 57895, 51404, 50854, 51621, 50841, 50799, 51404, 51162, 51019, 50993, 53583, 56075, 51404, 51162, 51402, 60740, 68269, 52928, 51499, 50873, 51205, 50975, 53583, 56344, 51499, 50873, 51532, 50834, 51361, 64775, 52600, 51404, 50995, 51019, 50993, 53583, 55698, 51404, 74244, 51471, 51180, 70130, 53068, 51499, 50974, 51205, 52466, 51392, 56688, 51499, 50905, 51647, 52579, 51188, 50879, 50927, 53025, 57895, 69786, 51621, 50841, 50799, 51404, 51124, 51019, 50993, 53583, 56075, 51404, 51116, 51402, 60740, 68269, 52928, 51499, 50974, 51205, 50975, 53583, 56344, 51499, 50974, 51532, 50834, 51361, 64775, 52600, 51404, 50981, 51019, 50993, 53583, 55698, 51404, 77052, 51471, 51180, 70130, 53068, 51499, 50978, 51205, 50976, 53583, 56688, 51499, 50978, 51647, 52579, 51404, 50822, 51019, 54972, 57895, 51404, 50822, 51621, 58660, 54638, 52122, 50799, 51404, 51253, 51019, 50975, 53583, 56075, 51404, 51312, 51402, 60740, 68269, 52928, 51499, 51337, 51205, 50975, 53583, 56344, 51499, 51337, 51532, 50834, 51361, 64775, 52600, 51404, 51312, 51019, 50993, 53583, 55698, 51404, 51312, 50441, 51471, 51180, 70130, 53068, 51499, 50974, 51205, 50976, 53583, 56688, 51499, 50905, 51647, 52579, 58727, 50927, 53025, 57895, 58727, 51621, 50841, 50799, 51404, 51112, 51019, 50975, 53583, 56075, 51404, 51112, 51402, 60740, 68269, 58405, 51854, 53174, 50426, 51499, 50812, 51205, 50975, 53583, 56344, 61847, 51532, 50834, 51361, 64775, 52600, 51404, 51203, 51019, 50975, 53583, 55698, 51404, 51203, 50441, 51471, 51180, 70130, 53068, 51499, 50933, 51205, 51599, 51392, 56688, 51499, 51008, 51647, 52579, 51404, 50857, 51019, 52001, 57895, 51404, 50857, 51621, 50841, 50799, 52375, 50830, 51404, 51312, 51019, 50975, 53583, 56075, 51404, 51312, 50417, 51854, 53241, 51471, 51039, 68269, 52928, 51499, 51212, 51205, 50976, 53583, 56344, 51499, 51101, 51532, 50834, 51361, 64775, 52600, 51404, 51391, 51019, 50993, 53583, 55698, 51404, 51391, 50441, 51471, 51180, 70130, 53068, 51499, 50845, 51205, 51520, 51392, 56688, 51499, 50845, 51647, 52579, 58727, 50927, 53025, 57895, 58727, 50458, 51288, 50810, 51621, 60880, 51211, 59700, 51219, 50943, 50799, 54924, 52122, 56271, 52122, 56140, 52122, 51404, 51003, 51019, 50975, 53583, 56075, 51404, 51003, 51402, 60740, 68269, 52928, 51075, 51090, 51499, 50977, 51205, 50976, 53583, 56344, 51499, 50937, 51532, 50834, 51361, 64775, 52600, 51046, 51345, 51404, 51134, 51019, 50975, 53583, 55698, 51404, 51134, 50441, 51471, 51180, 53851, 78981, 53068, 51278, 51227, 51499, 50901, 51205, 51599, 51392, 56688, 51499, 50901, 51647, 52579, 51019, 54328, 65447, 50841, 68923, 51158, 51404, 51253, 51019, 50975, 53583, 56075, 51404, 51312, 51402, 53203, 51219, 51594, 68269, 52928, 51219, 50890, 51499, 50892, 51205, 50976, 53583, 56344, 51499, 64318, 51075, 51582, 53063, 51329, 62003, 64775, 52600, 51404, 50981, 66862, 53583, 55698, 51075, 50809, 51404, 77052, 51471, 50442, 51219, 51538, 51180, 70130, 53068, 51499, 50937, 51205, 50976, 53583, 56688, 52376, 50921, 51499, 50917, 51647, 52579, 52376, 50880, 77586, 50927, 53025, 57895, 57300, 51621, 60880, 51652, 51055, 50799, 60383, 52122, 54924, 50854, 55321, 52122, 66862, 53583, 66729, 60740, 57369, 52376, 50936, 51510, 52928, 51205, 50976, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 50975, 53583, 54704, 61974, 52457, 51508, 70130, 53068, 51652, 50921, 51205, 51599, 51392, 50841, 51647, 52579, 51652, 50821, 51019, 52001, 65447, 60880, 52376, 51167, 53400, 50993, 53583, 66729, 60740, 60879, 52376, 50936, 51510, 52928, 51205, 50976, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 51072, 53583, 54704, 61974, 52376, 51508, 70130, 53068, 52376, 50921, 51205, 52466, 51392, 50841, 51647, 52579, 52376, 50880, 50927, 53025, 53736, 51652, 51160, 52261, 53400, 50975, 53583, 66729, 53203, 52376, 54196, 68269, 52928, 51205, 50975, 53583, 50839, 51532, 50834, 51361, 58167, 52376, 70930, 52600, 66862, 53583, 54704, 61974, 52376, 51864, 70130, 53068, 51667, 50936, 51205, 53236, 51392, 50841, 51647, 52579, 51652, 50880, 51019, 52001, 53736, 52376, 51226, 52261, 53400, 50975, 53583, 66729, 60740, 68269, 52928, 51205, 50975, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 51066, 53583, 54704, 61974, 52457, 51864, 70130, 53068, 52376, 50821, 51205, 52466, 51392, 50841, 51647, 57208, 52457, 54663, 52376, 50883, 50927, 63304, 53736, 51652, 50980, 52261, 50799, 60383, 52122, 55321, 51692, 54924, 52122, 51019, 50975, 53583, 66729, 60740, 60879, 52376, 50921, 51510, 52928, 51205, 50976, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 50975, 53583, 54704, 52457, 50880, 61974, 52376, 51508, 70130, 58560, 53818, 53651, 50450, 51652, 50821, 51205, 51599, 51392, 50841, 51647, 52579, 51652, 50821, 51019, 52001, 53736, 52376, 51226, 52261, 53400, 50976, 53583, 66729, 60740, 68269, 52928, 51205, 50976, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 51066, 53583, 54704, 61974, 52457, 51864, 70130, 53068, 52376, 50880, 51205, 52466, 51392, 50841, 51647, 52579, 52376, 50821, 50927, 53025, 53736, 51652, 51160, 52261, 50799, 55321, 51353, 51019, 50975, 53583, 66729, 53203, 52376, 51508, 68269, 52928, 51205, 50975, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 50975, 53583, 54704, 61974, 52376, 51864, 70130, 53068, 51667, 50936, 51205, 51599, 51392, 50841, 51647, 52579, 51652, 50821, 51019, 52001, 53736, 52376, 51226, 52261, 50461, 54511, 52069, 56490, 51353, 53400, 50975, 53583, 66729, 60740, 68269, 52928, 51205, 50976, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 50975, 53583, 54704, 61974, 51652, 58568, 70130, 53068, 51205, 52466, 51392, 50841, 51647, 52579, 51652, 50821, 51019, 53025, 65447, 50841, 50799, 54924, 52122, 53370, 52122, 59113, 52122, 51011, 50975, 53583, 56075, 51667, 51192, 51402, 53203, 51046, 51594, 57369, 51143, 75177, 51667, 50921, 60454, 51548, 50844, 51019, 50975, 53583, 54929, 51288, 51159, 51931, 51361, 64775, 56305, 51211, 51419, 55208, 50975, 53583, 54704, 61974, 51652, 54444, 70130, 53068, 51667, 50921, 51019, 50975, 53583, 50841, 51647, 52579, 51667, 55307, 65447, 60880, 52376, 50806, 53534, 50993, 53583, 66729, 60740, 68269, 52928, 51019, 50975, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 50953, 50975, 53583, 54704, 61974, 51652, 51508, 70130, 53068, 51667, 50936, 51019, 50993, 53583, 50841, 51647, 52579, 51652, 55557, 53736, 51667, 51167, 52261, 53534, 50993, 53583, 66729, 53203, 51667, 54444, 68269, 52928, 51019, 50975, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 79288, 53583, 54704, 61974, 51652, 51575, 70130, 53068, 51667, 50936, 51019, 50993, 53583, 50841, 51647, 52579, 51652, 55557, 53736, 52376, 51160, 52261, 53534, 50993, 53583, 66729, 60740 ]
[ 0, 250, 2635, 8, 19448, 3495, 2214, 11, 272, 538, 6, 42, 765, 15229, 7630, 6568, 10, 1472, 9, 11926, 8, 657, 6, 442, 24, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 16739, 9, 272, 6, 230, 6, 211, 6, 272, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50796, 50796, 53997, 50932, 55902, 55512, 58903, 52688, 50861, 55512, 58903, 53052, 80235, 50876, 51283, 50968, 51283, 54734, 50932, 55961, 56943, 55512, 52688, 50871, 56943, 55512, 53052, 50871, 51283, 50877, 51283, 50876, 51283, 54795, 50932, 55902, 61418, 57777, 52688, 50861, 61418, 57777, 53052, 50861, 70713, 60473, 54498, 51214, 56350, 50861, 61418, 57777, 52985, 50861, 61418, 57777, 53581, 50861, 61418, 57777, 50838, 53997, 50932, 55902, 55512, 58903, 52688, 50861, 55512, 58903, 53052, 50861, 51680, 50876, 51680, 50968, 51680, 53997, 50932, 55902, 55512, 58903, 52688, 50861, 55512, 58903, 53052, 80235, 50876, 51283, 50968, 51283, 54734, 50932, 55961, 56943, 55512, 52688, 50871, 56943, 55512, 53052, 50871, 51283, 50877, 51283, 50876, 51283, 54795, 50932, 55902, 61418, 57777, 52688, 50861, 61418, 57777, 53052, 50861, 70713, 60473, 54498, 51214, 56350, 50861, 61418, 57777, 52985, 50861, 61418, 57777, 53581, 50861, 61418, 57777, 50838, 53997, 50932, 55902, 55512, 58903, 52688, 50861, 55512, 58903, 53052, 50861, 51680, 50876, 51680, 50968, 51680, 53997, 51243, 56440, 50827, 50861, 53591, 58219, 50876, 52580, 58219, 50876, 54889, 57947, 50968, 52739, 57947, 50968, 53720, 57910, 50951, 52788, 50968, 65300, 50932, 54734, 51243, 53502, 57712, 56943, 52688, 50900, 57712, 56943, 53052, 50900, 51283, 50871, 51283, 50877, 51283, 54795, 51243, 51026, 51243, 53997, 51243, 80141, 54734, 77132, 68026, 75656, 60934, 51247, 77132, 68026, 75656, 51080, 58106, 51085, 51801, 50900, 51801, 50916, 51801, 50861, 51801, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15352, 30054, 3495, 2214, 4246, 10, 13305, 8, 6755, 12547, 6, 278, 11, 5, 762, 9, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 7630, 14805, 10, 19448, 8, 3722, 5466, 20455, 9, 10, 822, 19834, 6, 19, 17878, 9, 657, 11, 63, 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 ]	[ 58375, 50428, 50999, 51108, 50440, 51147, 51337, 50447, 50999, 51212, 50453, 51147, 51100, 50459, 50999, 51194, 52478, 50968, 51255, 50425, 50951, 51534, 50433, 50931, 51097, 50442, 55430, 51445, 53389, 51243, 73789, 51743, 51353, 50443, 51120, 52783, 50444, 50902, 51330, 50455, 51027, 51961, 51601, 50899, 52063, 63714, 51534, 50428, 50877, 67632, 50902, 51337, 50440, 51279, 52034, 50441, 50968, 51535, 51615, 52151, 52033, 52222, 59439, 52335, 56617, 52222, 50448, 51027, 50984, 50455, 63489, 50460, 50877, 51534, 52478, 51028, 51242, 50424, 50968, 51194, 50430, 51120, 53486, 50431, 50931, 51627, 50432, 51743, 51313, 55430, 51671, 53389, 51922, 51881, 52335, 50439, 51027, 52441, 50445, 50899, 52048, 50453, 57810, 50457, 51656, 58643, 50461, 50999, 51753, 53069, 51147, 73911, 50999, 70402, 51147, 51423, 50438, 50999, 51534, 79472, 51645, 50454, 50951, 51576, 51601, 50931, 52460, 50423, 51120, 52519, 50902, 52460, 55430, 52431, 51743, 52335, 53389, 54171, 50431, 51027, 52378, 55898, 51174, 57428, 51411, 60027, 54771, 80039, 55547, 71509, 51310, 51615, 52062, 59439, 53588, 52033, 52222, 56617, 52335, 50421, 51027, 51022, 50427, 51040, 51008, 50433, 50877, 51775, 50440, 50931, 51884, 50446, 72543, 50453, 51743, 51671, 53389, 52503, 50454, 51120, 51703, 50902, 51961, 51881, 51922, 55430, 51922, 56310, 52136, 50424, 50899, 53892, 50437, 50968, 52378, 50447, 50931, 51884, 50453, 50951, 51642, 50460, 51656, 51680, 52133, 52168, 54720, 52980, 51711, 51742, 50461, 50999, 51637, 51050, 52263, 52591, 50900, 51806, 53645, 51006, 50431, 77549, 50437, 51081, 51101, 50442, 50999, 51177, 50447, 51615, 51742, 51863, 51742, 55793, 51314, 50448, 51085, 51642, 53817, 52783, 50449, 50951, 51241, 50454, 62972, 50460, 65200, 52177, 50906, 51043, 50422, 50999, 51111, 50427, 50951, 51111, 50433, 50931, 51204, 51120, 51310, 51743, 52015, 51656, 52015, 55430, 51447, 53389, 51447, 50439, 51027, 51233, 50445, 50899, 55125, 50877, 51194, 50457, 50951, 51110, 56229, 73963, 51279, 51162, 50968, 50980, 50431, 51027, 66425, 50877, 51820, 50877, 58038, 50999, 57939, 50877, 50840, 51601, 50999, 73888, 50999, 51124, 50430, 51814, 65866, 51147, 51576, 50456, 50999, 51172, 51809, 51147, 51172, 50424, 50999, 51884, 50430, 51147, 51642, 50437, 50999, 51074, 50443, 51147, 51642, 50450, 50999, 51481, 50457, 51147, 51309, 51809, 50999, 51576, 50425, 50968, 51806, 50435, 50951, 54344, 50445, 50931, 51961, 50456, 55430, 51671, 51743, 51671, 51656, 51748, 50457, 51120, 51703, 53389, 53201, 50458, 50902, 52441, 55753, 51027, 52011, 50428, 50899, 51074, 50434, 50871, 51480, 50441, 79378, 50447, 50902, 51212, 50453, 59439, 52431, 51615, 51662, 52033, 52222, 50454, 51279, 72713, 51310, 50460, 51027, 51210, 52478, 51040, 50959, 50424, 50877, 51534, 50430, 51028, 51328, 50436, 50968, 51309, 50442, 51743, 52140, 55430, 58643, 51881, 52528, 50443, 51120, 52916, 50931, 51314, 50452, 51027, 52407, 50459, 50899, 52441, 52591, 70741, 50430, 50999, 51797, 50437, 51147, 72379, 50999, 78271, 51147, 70854, 50999, 51534, 51809, 50968, 51576, 50426, 50951, 51738, 50435, 50931, 51330, 50445, 51838, 52062, 51743, 52140, 50446, 51120, 53486, 50902, 52056, 50458, 51027, 54836, 52177, 50899, 74525, 50871, 51412, 50430, 79378, 50436, 50902, 51412, 50443, 51279, 53957, 50444, 50968, 51939, 50445, 59439, 53201, 52414, 52204, 51615, 58643, 50452, 51027, 52063, 51601, 51040, 51210, 72513, 51878, 50445, 50931, 51447, 52478, 50968, 51709, 72785, 52980, 51120, 54829, 50449, 55430, 54270, 51838, 52720, 63932, 51449, 51743, 52720, 51601, 51027, 52441, 53337, 53957, 50434, 50871, 55174, 50445, 50877, 65527, 50458, 50902, 51922, 69341, 51146, 52431, 50428, 51339, 51592, 50432, 52912, 51452, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8, 19448, 5175, 1619, 2214, 4246, 10, 13305, 6, 6755, 12547, 6, 38668, 2236, 6, 31391, 1672, 9590, 6, 8, 21979, 8669, 4, 20, 2125, 16, 11, 272, 538, 19, 10, 7212, 20889, 9, 8403, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 16, 272, 6, 1918, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 53028, 71523, 50817, 51570, 50817, 52320, 50817, 54309, 51184, 51725, 51795, 50856, 52302, 51207, 61874, 50986, 62152, 52265, 50929, 53663, 50986, 62001, 50960, 58317, 50998, 54972, 52193, 51444, 51300, 50970, 65900, 50817, 61080, 51352, 50856, 52302, 73260, 51032, 52442, 55057, 52265, 51504, 50993, 50970, 76190, 51207, 52313, 50929, 51352, 50450, 51207, 54972, 52193, 54311, 50802, 50986, 51066, 66123, 54309, 52737, 51725, 51795, 51615, 51732, 50856, 52302, 50998, 62819, 50986, 51009, 50843, 52265, 50960, 75421, 50998, 62186, 51032, 70851, 50929, 51029, 50843, 52193, 50986, 64363, 53736, 50856, 50817, 60533, 51009, 50970, 54158, 52302, 50986, 59216, 51438, 50976, 51563, 52702, 52265, 51292, 61147, 51032, 52313, 51137, 51029, 51207, 51029, 50970, 54554, 68356, 51032, 51352, 50843, 52193, 61286, 54309, 51184, 54890, 51029, 50986, 51072, 50960, 64363, 52302, 50998, 58595, 50986, 53025, 52265, 54890, 50802, 50929, 76190, 54182, 50802, 50986, 52313, 53032, 50976, 51032, 51300, 50450, 50986, 62152, 52193, 52758, 51009, 51444, 51009, 50970, 51300, 53447, 51009, 50986, 62420, 51032, 52442, 50426, 50986, 63304, 52265, 54182, 50976, 51504, 51029, 50929, 51029, 57097, 51029, 53032, 51059, 50986, 62186, 50970, 52175, 50986, 52001, 52193, 69653, 53032, 50802, 50986, 51059, 50929, 51029, 54309, 52737, 54182, 51059, 50960, 52410, 50998, 58595, 54890, 51795, 50986, 62152, 52265, 50929, 61546, 50986, 55380, 52257, 50803, 56523, 50803, 51032, 51352, 50450, 50986, 54972, 52193, 52043, 50811, 53876, 50811, 50929, 51407, 61080, 63853, 51607, 50811, 52257, 50811, 51207, 51407, 55057, 52265, 51434, 50803, 52043, 50811, 50986, 61546, 50960, 53609, 50998, 52284, 50929, 51407, 50450, 69653, 50960, 51300, 50843, 52193, 51684, 50976, 50986, 50976, 54920, 51795, 54890, 51059, 51207, 51795, 60434, 54107, 50960, 54972, 52265, 54890, 50802, 50998, 52125, 54182, 50976, 50929, 52313, 53032, 50976, 50986, 63399, 50929, 63304, 52193, 51181, 51009, 52758, 51300, 51131, 51029, 50970, 51029, 61080, 63853, 51032, 51300, 50426, 50986, 54972, 52265, 51132, 51009, 54182, 50976, 51504, 51009, 50929, 53663, 53032, 51059, 50986, 53681, 50970, 63758, 51032, 54217, 50843, 52193, 69653, 53032, 50976, 50986, 51059, 50929, 51009, 54309, 52442, 54182, 50824, 50960, 52410, 50998, 54107, 54890, 51795, 50843, 52265, 50986, 53663, 51207, 52442, 50444, 50929, 51352, 50447, 51434, 51184, 50450, 51669, 51184, 50843, 54085, 52257, 51795, 50456, 52043, 51795, 50960, 51072, 61080, 52244, 50998, 59101, 50986, 54972, 52265, 74904, 50960, 52125, 51137, 51066, 53195, 50824, 50998, 50803, 51032, 50823, 52689, 50993, 53873, 57310, 50970, 50803, 51067, 52116, 51137, 50824, 53141, 51059, 50970, 50803, 69051, 52888, 55940, 52193, 50929, 50823, 51292, 50823, 54920, 51352, 51774, 51184, 51614, 51184, 51434, 51184, 52969, 51009, 73829, 50929, 51059, 51292, 51059, 53274, 51300, 57026, 71824, 52630, 50843, 52265, 50986, 50823, 50998, 52125, 53195, 50824, 52689, 50975, 53873, 57699, 50986, 62001, 50998, 52768, 74904, 52969, 50824, 71706, 51292, 50803, 53274, 50824, 57026, 55940, 52193, 70193, 50947, 50823, 51438, 50823, 54281, 51795, 51774, 51795, 51614, 51184, 51434, 51184, 51607, 51732, 54799, 51059, 50986, 50817, 73560, 51292, 50824, 53873, 51029, 61656, 51059, 60434, 50975, 55057, 52265, 54799, 50860, 50986, 51029, 53873, 50860, 61656, 53925, 51808, 51300, 54799, 50802, 50998, 51066, 51032, 50993, 53873, 51029, 61656, 52313, 56647, 51066, 59634, 51072, 57702, 52193, 51374, 50860, 56647, 50823, 50960, 50803, 65561, 53873, 50823, 59634, 50823, 52894, 52737, 51774, 54217, 51515, 52442, 51434, 50824, 56647, 50824, 51504, 51184, 50960, 50976, 51076, 50976, 53873, 50824, 59634, 66489, 51440, 51795, 53429, 51352, 50986, 50993, 50970, 51059, 50947, 51059, 53686, 51795, 57026, 51795, 50843, 52267, 50986, 63399, 50970, 51059, 50843, 52193, 51032, 50824, 61080, 51300, 64308, 51029, 50929, 58595, 51434, 50811, 51440, 50824, 51607, 50824, 53032, 50824, 50970, 51059, 51032, 51072, 52945, 51066, 53686, 55940, 50817, 51272, 50301, 50802, 51434, 50824, 51808, 50824, 55493, 50824, 79097, 50960, 50993, 51076, 50975, 53132, 50993, 53274, 53681, 52993, 54554, 51416, 50802, 51515, 51066, 51440, 50824, 54182, 50824, 51504, 50824, 50986, 50975, 50947, 51072, 53985, 51066, 52888, 55940, 52193, 51132, 50976, 53053, 51352, 51660, 51795, 51434, 51184, 54890, 51352, 51207, 51352, 50929, 50975, 55283, 51407, 52689, 51352, 60434, 54675, 50929, 53025, 52265, 51292, 55276, 50929, 52313, 50986, 58348, 53195, 50824, 50929, 51009, 52689, 51066, 53873, 55940, 52193, 69653, 51207, 51184, 67398, 51352, 53141, 51066, 50960, 50993, 52689, 51066, 54992, 68107, 51311, 63398, 53141, 50824, 62875, 52689, 50993, 54992, 62152, 52265, 52769, 51407, 51067, 64631, 51434, 51300, 51669, 51009, 52257, 51300, 53195, 51029, 50929, 51059, 53565, 51029, 53873, 62001, 51311, 52116, 50970, 53025, 52193, 54311, 50802, 52758, 50976, 51311, 50823, 52945, 50823, 53686, 50802, 54309, 50824, 51774, 51795, 51434, 51184, 52043, 51795, 53032, 51184, 50986, 51795, 53132, 51184, 53274, 51184, 57761, 58595, 50998, 54328, 52265, 51338, 51300, 50929, 60363, 51032, 60815, 50960, 54145, 50929, 53025, 52193, 74904, 51032, 50860, 53053, 51795, 51207, 51795, 51076, 54024, 51032, 52244, 50947, 60134, 51076, 53537, 51774, 50824, 51515, 50976, 51440, 50993, 50929, 52001, 54396, 50947, 54684, 52769, 51066, 50970, 52674, 50929, 52952, 52745, 51066, 51434, 51072, 50998, 61411, 54129, 50970, 52284, 52769, 50975, 50960, 52911, 50998, 76874, 52568, 51614, 51066, 51515, 51072, 51434, 51066, 50986, 61492, 51695, 52193, 54311, 50802, 52769, 50860, 51311, 50976, 51289, 50817, 54309, 50824, 51774, 51795, 51614, 50803, 51434, 51407, 52278, 51059, 50986, 52737, 51615, 51184, 51479, 54533, 50417, 51660, 51009, 51039, 50817, 51768, 55232, 51338, 50860, 52278, 50802, 59194, 54683, 50824, 52355, 50802, 51479, 52267, 51614, 51072, 51434, 50824, 51808, 51066, 51784, 55188, 50817, 51955, 55843, 51338, 50976, 51774, 51009, 51515, 51300, 51440, 51009, 51900, 57838, 50817, 53447, 51059, 51711, 51184, 51479, 57474, 50817, 51768, 55232, 51132, 51009, 53369, 51009, 51774, 51009, 51515, 51407, 51434, 51732, 51607, 51732, 52355, 50976, 51479, 52676, 51784, 51059, 59194, 51180, 50817, 51955, 55843, 51137, 50976, 51784, 52319, 50817, 54309, 50824, 51774, 51732, 51614, 50811, 51660, 51795, 52278, 50811, 52355, 51072, 51838, 50824, 51479, 57474, 52630, 52278, 52442, 52225, 54217, 50903, 55232, 51338, 51300, 61286, 51479, 52676, 51292, 50860, 51479, 52267, 51438, 51331, 52568, 51292, 60894, 55843, 51137, 50976, 51438, 55115, 50817, 54309, 50824, 51479, 57474, 52630, 51137, 50803, 51067, 55964, 61580, 51349, 52119, 51338, 51029, 51434, 50993, 51032, 51029, 51479, 52676, 51669, 50803, 52257, 52442, 51479, 54129, 52043, 51352, 50444, 51434, 58834, 52568, 54311, 50802, 50929, 52442, 50903, 55843, 51844, 50976, 51434, 61812, 55498, 54309, 50824, 51774, 51795, 52278, 51059, 51615, 51795, 51479, 52302, 51434, 65765, 50817, 51768, 55232, 51338, 51029, 52043, 51300, 52278, 50860, 51479, 52676, 52355, 50976, 51479, 52267, 51434, 51066, 51784, 51331, 52568, 51137, 55964, 55843, 51181, 51029, 51607, 51300, 51900, 51300 ]
[ 0, 250, 33558, 3495, 2214, 19, 10, 2365, 619, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 8, 18558, 4, 20, 1769, 12, 20764, 8859, 11, 83, 538, 7630, 6568, 10, 1472, 9, 11098, 8, 7125, 6, 442, 24, 10686, 13, 5, 1619, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52894, 50980, 51113, 52149, 51154, 52121, 53358, 62249, 50834, 58997, 54666, 56471, 61074, 58243, 50836, 51402, 50837, 52906, 50863, 64258, 62377, 50806, 51223, 50910, 51262, 50897, 51355, 50897, 50850, 55664, 57954, 50938, 51510, 52670, 51132, 51235, 79782, 53683, 72322, 66076, 68502, 62773, 51058, 61232, 59027, 51532, 50837, 51355, 50897, 51262, 50897, 74600, 51361, 50825, 78632, 51588, 50328, 50936, 51223, 62237, 50959, 57896, 61377, 51556, 53018, 51132, 51227, 52453, 50835, 64495, 51116, 50951, 51460, 51223, 62061, 61074, 56754, 50808, 51572, 53325, 50852, 63607, 56204, 58310, 50866, 51618, 64958, 50828, 51262, 50828, 51355, 53035, 51132, 51345, 79782, 54473, 51135, 50829, 64495, 75210, 51021, 65998, 66033, 59027, 51647, 50837, 68326, 64258, 50910, 50931, 51033, 51355, 50828, 51262, 50846, 51223, 60782, 55029, 50836, 61377, 73788, 52894, 51215, 53358, 50825, 58997, 65090, 51030, 50885, 64443, 60957, 50840, 51402, 50870, 52906, 50863, 64258, 71998, 51021, 51223, 50925, 51262, 50910, 51355, 50910, 50850, 58541, 54180, 50938, 51510, 52670, 51132, 71599, 54094, 53683, 51041, 50825, 66076, 66083, 66594, 50978, 62039, 59027, 51532, 50863, 51355, 50897, 51262, 50830, 64417, 51361, 50825, 78632, 52098, 50328, 50936, 51223, 60782, 50878, 57896, 57212, 51556, 52896, 51132, 51345, 52453, 50825, 64495, 51124, 50951, 51460, 51223, 62061, 64443, 56754, 50812, 51572, 53594, 50852, 67804, 56204, 58310, 50977, 60309, 51916, 64958, 50828, 79533, 51355, 53083, 51132, 50980, 79782, 53683, 51044, 50829, 64495, 60693, 60185, 50866, 78115, 50866, 51647, 53555, 50816, 52771, 50837, 64258, 50830, 50931, 51045, 51355, 50828, 51262, 50846, 51223, 50846, 59416, 50872, 62210, 50833, 76269, 53447, 51167, 51154, 52096, 51113, 52250, 52453, 50825, 56318, 56036, 60164, 65451, 60957, 50840, 51402, 50863, 52906, 50863, 59584, 58050, 64446, 50925, 51195, 50925, 51262, 50910, 50850, 55664, 57172, 50865, 51510, 52670, 51181, 51160, 50801, 54094, 54473, 51135, 50835, 64258, 62377, 62009, 50978, 62038, 59027, 51532, 50837, 51262, 50925, 78372, 51265, 50809, 51361, 50825, 66076, 77322, 50936, 51265, 50828, 61466, 50872, 50812, 55688, 51556, 52896, 51181, 51235, 53358, 50835, 62527, 50991, 50968, 51653, 51265, 62830, 61074, 58243, 50833, 75363, 50852, 63607, 56204, 56659, 50866, 51618, 50837, 51265, 50828, 51195, 50828, 51262, 53083, 51181, 71599, 54094, 53683, 51135, 50835, 62527, 52014, 50320, 51021, 57140, 59458, 58752, 51647, 50837, 68326, 59584, 50897, 50902, 51014, 51262, 50828, 69747, 51265, 62237, 55029, 59495, 50854, 51621, 50863, 53447, 51192, 53358, 50829, 56318, 64514, 51021, 50848, 64443, 60957, 50836, 51402, 50837, 52906, 50863, 59584, 67922, 50936, 51265, 50910, 78372, 51262, 50925, 50850, 57045, 58057, 50917, 51510, 52917, 51181, 51175, 79782, 53412, 51135, 50835, 64258, 56645, 60164, 50978, 62038, 59027, 51532, 50863, 51262, 50897, 51195, 50910, 51265, 50809, 51361, 50837, 66076, 77322, 51030, 51265, 50828, 61466, 57896, 50848, 50810, 51556, 53018, 51181, 50948, 53358, 50835, 62527, 51116, 50968, 51460, 51265, 67633, 65451, 56754, 50812, 75363, 51181, 53072, 66580, 56204, 56611, 50937, 60309, 52465, 50863, 51265, 50841, 74900, 51262, 53533, 51374, 56702, 54094, 52538, 51179, 50835, 62527, 55648, 60164, 50937, 59458, 64803, 51647, 53007, 51132, 57321, 52348, 50837, 59584, 50830, 50902, 50823, 51262, 50846, 51195, 50841, 51265, 60782, 55029, 61575, 50810, 73788, 53053, 51192, 51251, 52121, 51165, 52024, 52453, 50825, 59584, 60446, 60164, 59778, 61303, 50840, 51402, 50863, 52906, 50870, 64495, 63191, 50911, 51195, 50925, 51250, 50910, 51543, 50897, 50939, 54703, 57172, 50938, 51510, 52670, 51137, 51235, 52404, 51152, 53412, 72322, 50661, 50338, 51514, 50326, 56747, 50987, 62486, 74798, 51532, 50863, 51543, 50897, 51250, 50897, 51195, 50809, 51361, 50825, 69575, 52098, 50330, 50948, 51195, 66328, 50955, 50847, 50812, 55688, 51556, 52896, 51137, 51345, 53358, 50825, 66076, 50991, 50999, 51653, 51195, 62830, 58367, 50840, 62199, 51572, 53594, 64642, 50939, 54703, 58580, 50977, 60309, 51750, 50837, 51195, 50841, 73376, 51543, 53035, 51137, 51227, 52404, 51152, 53683, 51135, 50835, 66076, 51828, 50325, 51030, 57140, 58966, 74798, 51647, 50863, 68326, 64495, 50910, 50951, 50921, 51543, 50841, 62594, 51195, 66328, 55305, 61631, 50854, 76269, 53053, 51215, 53358, 50825, 59584, 67922, 51021, 50848, 58367, 63915, 50836, 51402, 50863, 52906, 50837, 64495, 70155, 51021, 51195, 50925, 51250, 50925, 51543, 50897, 50939, 54703, 58057, 50917, 51510, 52917, 51137, 51167, 79782, 54473, 51041, 50825, 50661, 50338, 63627, 60164, 50987, 64829, 69081, 51532, 50863, 51543, 50897, 51250, 50910, 51195, 50840, 51361, 50835, 69575, 51588, 50330, 51021, 51195, 67131, 50878, 50847, 59529, 50854, 51556, 52904, 51137, 51227, 53358, 50825, 66076, 51124, 50999, 51460, 51195, 62660, 59778, 65391, 50812, 51572, 53594, 50852, 50870, 50939, 54703, 56611, 50977, 60309, 52223, 50863, 51195, 50841, 68540, 51543, 53083, 51137, 51227, 79782, 52538, 72322, 66076, 67611, 60874, 50977, 60304, 63573, 51647, 53007, 50816, 51539, 50825, 64495, 50830, 50951, 51014, 68989, 73376, 51195, 67131, 55305, 59495, 50833, 73788, 54309, 51175, 51301, 52096, 51088, 52250, 53358, 50825, 55076, 55143, 61740, 58367, 61303, 50840, 51402, 50863, 52906, 50863, 58997, 56964, 50911, 51223, 50925, 51350, 50897, 51250, 50897, 50939, 57486, 57122, 50938, 51510, 52670, 51338, 69209, 54094, 54473, 51179, 50837, 62527, 65544, 58429, 50978, 64829, 74798, 51532, 73885, 74171, 50910, 51223, 50809, 51361, 50825, 64495, 76198, 50948, 51223, 67473, 50955, 56894, 56521, 51556, 50863, 54683, 51160, 53358, 50835, 59584, 50991, 50902, 51460, 51223, 64073, 58367, 65391, 50812, 75363, 64642, 50939, 54703, 55363, 50937, 60309, 51833, 64958, 50841, 51350, 50839, 51250, 53068, 51338, 51175, 52404, 51152, 53683, 72322, 59584, 73916, 51138, 64525, 60304, 74798, 51647, 50837, 74819, 58997, 50897, 50876, 51033, 62594, 51350, 50828, 51223, 67473, 59643, 50836, 58817, 51621, 50863, 54309, 51173, 52453, 50835, 55076, 68668, 51138, 50868, 59778, 63915, 50840, 51402, 50863, 52906, 50372, 52418, 50839, 58997, 65090, 51021, 51223, 50897, 51350, 50910, 51250, 50910, 50939, 50805, 53449, 65671, 51510, 52917, 51338, 51175, 79782, 63822, 69483, 50884, 62527, 65544, 61740, 50978, 64829, 69081, 51532, 50863, 51250, 50925, 51350, 50925, 51223, 53810, 51287, 51901, 50820, 64495, 70155, 50936, 51223, 67131, 50878, 56894, 58817, 51556, 50837, 54683, 51173, 51938, 52082, 72322, 59584, 51124, 50902, 51427, 51223, 64073, 58367, 50809, 62199, 51572, 53325, 50852, 50371, 52418, 65858, 54703, 55363, 50917, 51618, 64958, 50841, 51350, 50841, 51250, 53068, 51338, 56795, 54094, 53412, 51179, 69330, 50884, 59584, 58050, 58512, 50937, 58966, 63573, 51647, 53007, 51338, 67105, 51467, 50835, 58997, 50952, 50876, 51045, 62594, 51350, 50841, 51223, 66328, 59643, 60975, 50810, 51621, 50863, 52894, 51356, 51154, 51313, 51113, 51717, 52795, 51030, 53358, 61819, 62168, 64443, 60957, 50836, 51402, 53405, 52307, 52472, 52144, 50835, 51223, 50897, 51262, 50925, 51355, 50897, 50850, 58541, 58239, 50865, 51510, 52872, 79782, 54473, 72322, 62783, 62039, 57134, 50427, 52203, 50806 ]
[ 0, 250, 8787, 3152, 15229, 11, 272, 538, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 211, 6, 272, 6, 8, 230, 4, 11281, 25654, 29589, 6, 3152, 6757, 6, 3459, 9590, 6, 1481, 677, 2957, 16940, 6, 8, 21072, 283, 561, 7, 1045, 41, 9066, 8, 15352, 30054, 2369, 18795, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2125, 17384, 12049, 9, 657, 8, 15073, 150, 6780, 41, 20425, 223, 28311, 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 ]	[ 56103, 50796, 56103, 51960, 50415, 51271, 57085, 50812, 51288, 50874, 50418, 51271, 71769, 72294, 51288, 62658, 51133, 50813, 51143, 70288, 65553, 51133, 50844, 56161, 51211, 50822, 51544, 68713, 51415, 50854, 51329, 50812, 51529, 56739, 51011, 50874, 53443, 51219, 53193, 50953, 61516, 50812, 51569, 54378, 51213, 50844, 51063, 50854, 51075, 62551, 51222, 50812, 51143, 52691, 63635, 51983, 50440, 51019, 50874, 51278, 50812, 51329, 70627, 72307, 51155, 50812, 51046, 62077, 51228, 50844, 51885, 50812, 51511, 64827, 72541, 55542, 51063, 54004, 51983, 50452, 51205, 50844, 57687, 51473, 66968, 51096, 50833, 51611, 50812, 51222, 63105, 51069, 50959, 54737, 51278, 70568, 51854, 51679, 51622, 55086, 50461, 51443, 51359, 51942, 51264, 51155, 51293, 56103, 59676, 51211, 51183, 51854, 51127, 51983, 51570, 60145, 51211, 50845, 51634, 64860, 69714, 51634, 50845, 51211, 52919, 52534, 51359, 51960, 50415, 51386, 51307, 51143, 51655, 51634, 51359, 51544, 79932, 52846, 51960, 52354, 51127, 51983, 50415, 51344, 50917, 51143, 51157, 51222, 51448, 51634, 51627, 50421, 51344, 60086, 54893, 51344, 51100, 70199, 51143, 53442, 50964, 51127, 69709, 51143, 51159, 51386, 51103, 51960, 50443, 51344, 50892, 50449, 61973, 51219, 55082, 51960, 56142, 51359, 51211, 51662, 51942, 51518, 51063, 51518, 51075, 51151, 51960, 51544, 79932, 53594, 51155, 79860, 51278, 58175, 51063, 51056, 69714, 51942, 50873, 51155, 50873, 56142, 51359, 51942, 51353, 51155, 51359, 52375, 52149, 51482, 50810, 51368, 51373, 53738, 51482, 50822, 51368, 52921, 51211, 51127, 51854, 51103, 51075, 51422, 51482, 50874, 51368, 51589, 53575, 51482, 50886, 51368, 52691, 51482, 50867, 51368, 50864, 51960, 50444, 51482, 50867, 51368, 58914, 51211, 50873, 51634, 65223, 51482, 50857, 51368, 50874, 69714, 51634, 50873, 51211, 51121, 51368, 50827, 51482, 50886, 52534, 51359, 51368, 50827, 51915, 50857, 51960, 50415, 51386, 51264, 51143, 51655, 51211, 51359, 51634, 74258, 51915, 50844, 51368, 52921, 51915, 50810, 51368, 51373, 53575, 51368, 50866, 51915, 54930, 51915, 50886, 51368, 50971, 51960, 50444, 51368, 50874, 51915, 54004, 51915, 50917, 51368, 50937, 69714, 51915, 50844, 51368, 50874, 56103, 50945, 51127, 51425, 50827, 51915, 50857, 51983, 50415, 51143, 51073, 51344, 51048, 51634, 51535, 51222, 64739, 51915, 50844, 51425, 52921, 50629, 73968, 51344, 51060, 51915, 50810, 51425, 51373, 53575, 51143, 50884, 51425, 50866, 51915, 62803, 51143, 53442, 50964, 51127, 57726, 51143, 51048, 51386, 50918, 51915, 50886, 51368, 50971, 51960, 50443, 51344, 55945, 51368, 50874, 51915, 64913, 51143, 51013, 51219, 55082, 51915, 50917, 51368, 50937, 69714, 51915, 50844, 51368, 54447, 51258, 56142, 51307, 51063, 51591, 51211, 51677, 51075, 51353, 51942, 51307, 51063, 51353, 51075, 51445, 51368, 50827, 51482, 54546, 54119, 50368, 51865, 77298, 50801, 52432, 58824, 51368, 55182, 59566, 58362, 50801, 52437, 51482, 50854, 51368, 54312, 58810, 50368, 51865, 64044, 50801, 52667, 53923, 51368, 50937, 51482, 60873, 58168, 50982, 56321, 52600, 51278, 51060, 51482, 50857, 51368, 56850, 53846, 50368, 51865, 54189, 53613, 73443, 51482, 53825, 54847, 50801, 52802, 51348, 50940, 51482, 50924, 51368, 58822, 53846, 50368, 51367, 50982, 59986, 53922, 51046, 68714, 51553, 52738, 53613, 51482, 50865, 51368, 50917, 51553, 59552, 51224, 60880, 51224, 50835, 56103, 51443, 51191, 51155, 51141, 51063, 50983, 51942, 51307, 51155, 51307, 51482, 50854, 51368, 53095, 52586, 50367, 51367, 55454, 53420, 51482, 50822, 51368, 55475, 60526, 52976, 51211, 51127, 51854, 51077, 51075, 51692, 51482, 50822, 51368, 55182, 53708, 60526, 53575, 51443, 50810, 60235, 51063, 51013, 51482, 50867, 51368, 53877, 54726, 60526, 53115, 51443, 50943, 51482, 50867, 51368, 55642, 52586, 60526, 69417, 53858, 69958, 51063, 50901, 51482, 50867, 51368, 57516, 60526, 52846, 50927, 50866, 51211, 50873, 62981, 60235, 58885, 51482, 50813, 51368, 55591, 53708, 60526, 53553, 51443, 50987, 51211, 50873, 51634, 71697, 50874, 51482, 57516, 60526, 50891, 52534, 51191, 51063, 50983, 73372, 51386, 51264, 51143, 51655, 51211, 51359, 51634, 51359, 51368, 50874, 51915, 54355, 52586, 60526, 53738, 51915, 50844, 51368, 55475, 60526, 52966, 51915, 50810, 51368, 54384, 53708, 60290, 53196, 50964, 50810, 62460, 65136, 51368, 50977, 51915, 50924, 69444, 60526, 53115, 50964, 50943, 51915, 50867, 51368, 58059, 52586, 60526, 53384, 51063, 50977, 51143, 50977, 51368, 50874, 51915, 55475, 60290, 53003, 50953, 50866, 62460, 65136, 51915, 50938, 51368, 58473, 53708, 60290, 53553, 50964, 50987, 51915, 50810, 51368, 56558, 60526, 50891, 52354, 51189, 51143, 51073, 51344, 51073, 51143, 51364, 51344, 50983, 51634, 51448, 51222, 50918, 51425, 50874, 51915, 54355, 52586, 60526, 53738, 51915, 50844, 51425, 55475, 60526, 52872, 51143, 50948, 51344, 51158, 51915, 50810, 51425, 54384, 53708, 60290, 53575, 65588, 51143, 50895, 70097, 51344, 50873, 51425, 50977, 51915, 50924, 69444, 60526, 54950, 51143, 53442, 50964, 50943, 77220, 51143, 51073, 51063, 50983, 73372, 51386, 51336, 51915, 50867, 51368, 58059, 52586, 60290, 53594, 51344, 50873, 51368, 50874, 51915, 55475, 60526, 53003, 52936, 50866, 51143, 51013, 61831, 51915, 50938, 51368, 58473, 53708, 60290, 53553, 53344, 50987, 69782, 70097, 51915, 50810, 51368, 54436, 54563, 60290, 50870, 56142, 51189, 51075, 51003, 51211, 50995, 51155, 51218, 51063, 51141, 51063, 51591, 51942, 51307, 51368, 50874, 51482, 54355, 52586, 60526, 53420, 51482, 50810, 51368, 55475, 60526, 52872, 51075, 51692, 51211, 51518, 51854, 51538, 51482, 50854, 51368, 55742, 53708, 60526, 53575, 51443, 50810, 60235, 62460, 51368, 50937, 51482, 50948, 69444, 60526, 53115, 51443, 50943, 51482, 50813, 51368, 56081, 52586, 60526, 53384, 51211, 50833, 69958, 51063, 66117, 71697, 50874, 51482, 55475, 60526, 55721, 50801, 52743, 52936, 50866, 51348, 50830, 51155, 50807, 62460, 51843, 51103, 51482, 50937, 51368, 58473, 53708, 60526, 58207, 51046, 58774, 53344, 50987, 51063, 50901, 51482, 50937, 51368, 50987, 75290, 60290, 50870, 56142, 51191, 51155, 51141, 51063, 50983, 51942, 51307, 51155, 51307, 51482, 50854, 51368, 53095, 52586, 60290, 69417, 53420, 51482, 50822, 51368, 55475, 60526, 52976, 51211, 51127, 51854, 51077, 51075, 51692, 51482, 50822, 51368, 55182, 53708, 60526, 53575, 51443, 57085, 50925, 60235, 51063, 51013, 51482, 50867, 51368, 53877, 54726, 60526, 53115, 51443, 50943, 63639, 51482, 50867, 51368, 55642, 52586, 60526, 53594, 69958, 51063, 50901, 51344, 50901, 51482, 50867, 51368, 57516, 60526, 52846, 50945, 50845, 51211, 50873, 51211, 50873, 62981, 60235, 58885, 51482, 50813, 51368, 55591, 53708, 60526, 53553, 50953, 50987, 51211, 50873, 51634, 50849, 51843, 51189, 51368, 50874, 51482, 57516, 60526, 50891, 52534, 51191, 51063, 50983, 73372, 51386, 51264, 51143, 51655, 51211, 51359, 51634, 51359, 51368, 50874, 51915, 54355, 52586, 60526, 53738, 51915, 50844, 51368, 55475, 60526, 52966, 51211, 50901, 51915, 50810, 51368, 54384, 53708, 60290, 53196, 50964, 50810, 51622, 50901, 62460, 65136, 51368, 50977, 51915, 50924, 69444, 60526, 53115, 50964, 50943, 51843, 50914, 51915, 50867, 51368, 58059, 52586, 60526, 53384, 51063, 50977, 51143, 50977, 51368, 50874, 51915, 53877, 53270, 60290, 53003 ]
[ 0, 250, 19448, 25771, 14123, 3495, 2214, 14, 7630, 6568, 10, 1619, 16464, 6, 4246, 10, 13305, 816, 5, 483, 33301, 7513, 30, 41, 21979, 8669, 6, 9590, 6, 8, 21072, 4, 20, 2125, 16, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 2351, 10, 1372, 8, 5679, 26709, 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 ]	[ 57739, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 53202, 51145, 62493, 50907, 51190, 52054, 51022, 50871, 52204, 50877, 52204, 50876, 52204, 50931, 52204, 51131, 52056, 50970, 51333, 50415, 53171, 51072, 51768, 62445, 51131, 51000, 64207, 50427, 51476, 51300, 51825, 51072, 51556, 54584, 51150, 65345, 59280, 51131, 51330, 50970, 51330, 50439, 51981, 51072, 51955, 51373, 69114, 50904, 50970, 60142, 51476, 51072, 52287, 51072, 74263, 60200, 61774, 65642, 51131, 52056, 50970, 51709, 50415, 51651, 51184, 51672, 51184, 53171, 51072, 75508, 69114, 50851, 64207, 50427, 51476, 51009, 51825, 51072, 51556, 55707, 51150, 51749, 50801, 59280, 73645, 50970, 51254, 50439, 51818, 51072, 51955, 51373, 69114, 50874, 64207, 50451, 51476, 51072, 51457, 51072, 62190, 61349, 53202, 64270, 65642, 50871, 51449, 50877, 51449, 50876, 51449, 50931, 51449, 51131, 52996, 50970, 52011, 50415, 51303, 51009, 51414, 51184, 51327, 52737, 75508, 69114, 50886, 50970, 63024, 52690, 51009, 51556, 55707, 51150, 70353, 59280, 51131, 52011, 50970, 52011, 50439, 51410, 51072, 51955, 51373, 69114, 50886, 65317, 50451, 55383, 51072, 51303, 51072, 50459, 51140, 53340, 50907, 51057, 51140, 64286, 65642, 79173, 50877, 51314, 50876, 51314, 50931, 51314, 50415, 53248, 51009, 52303, 51009, 51465, 51009, 51249, 51009, 51768, 68594, 51131, 50984, 64207, 50430, 57411, 76969, 51140, 50841, 51556, 50907, 51057, 51461, 60981, 59280, 50916, 52056, 50861, 52056, 50906, 52056, 51028, 52056, 51246, 52996, 50998, 52011, 50415, 68262, 51009, 51818, 51072, 50416, 76101, 51414, 51009, 51457, 60625, 52157, 62693, 58963, 52059, 50861, 52059, 50906, 52059, 51028, 52059, 51207, 50984, 51317, 67322, 51825, 51072, 52594, 51022, 52066, 50871, 51449, 50877, 51449, 50876, 51449, 53202, 57604, 50370, 52054, 51022, 51131, 53010, 69162, 50415, 56698, 51184, 76101, 51249, 51300, 51327, 66489, 51793, 51108, 50903, 65239, 51131, 51210, 50970, 60950, 53248, 51072, 51327, 51072, 76744, 51150, 58799, 55484, 50822, 50970, 52731, 50439, 52326, 51072, 51303, 51009, 51249, 51009, 51327, 63758, 51216, 50915, 73727, 51131, 51008, 50970, 60142, 53248, 69317, 51825, 57239, 54547, 79173, 50877, 51314, 50876, 51314, 53202, 51312, 53636, 51131, 53010, 69162, 50415, 55390, 51072, 51303, 51009, 51327, 51009, 51818, 66489, 51098, 51097, 50903, 65239, 51131, 51210, 50970, 60950, 52326, 51072, 51825, 51072, 52594, 58688, 50822, 51086, 52168, 50871, 52168, 50965, 52168, 50902, 52168, 50438, 51522, 51484, 50804, 78928, 51504, 53010, 51311, 51079, 50439, 54872, 51009, 51303, 51009, 51672, 51009, 51818, 63758, 51522, 50915, 73727, 51504, 51210, 51311, 60142, 51825, 51072, 50459, 54547, 53458, 51194, 54547, 50997, 52335, 50899, 52335, 50861, 52335, 51246, 51738, 50929, 51576, 50415, 52690, 51184, 76101, 51414, 51009, 50423, 54128, 53425, 51216, 61737, 79492, 51246, 50908, 75560, 50427, 51410, 51072, 68189, 52691, 51261, 50932, 53636, 51246, 55765, 50929, 53697, 50439, 51719, 51072, 51414, 51072, 51457, 51072, 52948, 63758, 51389, 51043, 73727, 51246, 51851, 69547, 50451, 51303, 51072, 51981, 51072, 50459, 51098, 55836, 50822, 50997, 52168, 50916, 52168, 50877, 52168, 50902, 52168, 53788, 50889, 53636, 51246, 53957, 50998, 52048, 50415, 51465, 51300, 51414, 51009, 51457, 51009, 52287, 51009, 50423, 51098, 53803, 52078, 51221, 50903, 65239, 51246, 50904, 50998, 63567, 53248, 51009, 50435, 51098, 56162, 52691, 51461, 56951, 78928, 50916, 52056, 50861, 52056, 50906, 52056, 51028, 52056, 51246, 52618, 50998, 51333, 50439, 52102, 51072, 51231, 51072, 51414, 51072, 51980, 63758, 51150, 51534, 73727, 50916, 71562, 77418, 78181, 51333, 51246, 50984, 57573, 50451, 51476, 51072, 51818, 51072, 50459, 51461, 53665, 50822, 53202, 51419, 54547, 51027, 51878, 50916, 51878, 50861, 51878, 50876, 51878, 51131, 53010, 69701, 50415, 56698, 51009, 51249, 51072, 50416, 51465, 51300, 51231, 60625, 51461, 50995, 73727, 51131, 51210, 50998, 60950, 53248, 51072, 51249, 51072, 68189, 50907, 51027, 52168, 50899, 52168, 50871, 52168, 50876, 52168, 60116, 50915, 53636, 51131, 53957, 50960, 52048, 50439, 52326, 51072, 51410, 51009, 51303, 51009, 51249, 63758, 51140, 51003, 73727, 51131, 50904, 50960, 65170, 68262, 51072, 51457, 51072, 52198, 55484, 50907, 53202, 51351, 53636, 51131, 53010, 69162, 50415, 56698, 51184, 51303, 51009, 51249, 51009, 52109, 66489, 51098, 61737, 65239, 51131, 51210, 50970, 60950, 53248, 51072, 51457, 51072, 50435, 54547, 51027, 52168, 50900, 52168, 50871, 52168, 62145, 63782, 78928, 50970, 52731, 50439, 52326, 51072, 51303, 51009, 51249, 51009, 52109, 63758, 51150, 50915, 73727, 51131, 51008, 50970, 60142, 53248, 51072, 51457, 51072, 50459, 54547, 53458, 51134, 54547, 50997, 51627, 50899, 51627, 50916, 51627, 50861, 51627, 51246, 51738, 50998, 51576, 50415, 66165, 51072, 52303, 51009, 51410, 51009, 51231, 60625, 51389, 50915, 73727, 51246, 50908, 50998, 78555, 54369, 51009, 68189, 50907, 50899, 61929, 52078, 51003, 53636, 50916, 64328, 66044, 69138, 51058, 51246, 55765, 50998, 53697, 50439, 51465, 51072, 52109, 51072, 50440, 76101, 51414, 51009, 50447, 50916, 60127, 64152, 62597, 58262, 51389, 51116, 73727, 51246, 51851, 69597, 50451, 51410, 51072, 51457, 51072, 52198, 55484, 50907, 70138, 50460, 51261, 50867, 54389, 51255, 53636, 51040, 51314, 50861, 51314, 50973, 51314, 51114, 51314, 51207, 53010, 51317, 51079, 50415, 52326, 51009, 52102, 51009, 51231, 51300, 51672, 51009, 51980, 72693, 51818, 60134, 52419, 53450, 51216, 61737, 68333, 51207, 51210, 51317, 60950, 52287, 51072, 68189, 52691, 52419, 62211, 77353, 52056, 50861, 52056, 50973, 52056, 51028, 52056, 51207, 52618, 51317, 51333, 50439, 55390, 51009, 51651, 63758, 52419, 71782, 55413, 50916, 71562, 52845, 50313, 52845, 50317, 51333, 51207, 50984, 51317, 69305, 52102, 51072, 51231, 51072, 51249, 51072, 50459, 54547, 54079, 51212, 54547, 50899, 51449, 50871, 51449, 50877, 51449, 51504, 53010, 69947, 50415, 53655, 51184, 51303, 51072, 50423, 80218, 53901, 51493, 51312, 73727, 51504, 51210, 50960, 60950, 52326, 51072, 51303, 51072, 68189, 54584, 51140, 51806, 53636, 50960, 52731, 50439, 51410, 51072, 51303, 65027, 51216, 51423, 73727, 51504, 51008, 50960, 60142, 52102, 69317, 51465, 50823, 51231, 57239, 51273, 53832, 55484, 50907, 53202, 50915, 53636, 50956, 52056, 50871, 52056, 50877, 52056, 50876, 52056, 51131, 52618, 51136, 51333, 50415, 53075, 51009, 51476, 51009, 51303, 51072, 51249, 51072, 50416, 51687, 51300, 50426, 51461, 51097, 50903, 65239, 50956, 52056, 50861, 52056, 50906, 52056, 50876, 52056, 51246, 50984, 51136, 67322, 51231, 51072, 51414, 51072, 76744, 51140, 51534, 50804, 78928, 50956, 52056, 50871, 52056, 50877, 52056, 50876, 52056, 51131, 52618, 51136, 51333, 50439, 56698, 51009, 53075, 51009, 51687, 51009, 51249, 51009, 51327, 51072, 50447, 57411, 52743, 51140, 50905, 73727, 50956, 70240, 52845, 50313, 52845, 50317, 51333, 51131, 50984, 51136, 69305, 52109, 51072, 50459, 51140, 56439, 50822, 59670, 51351, 54547, 50899, 51449, 50906, 51449, 50931, 51449, 51246, 52011, 50970, 51466, 50415, 55285, 51732, 51410, 52737, 51414, 52737, 51457, 52737, 50426, 51461, 51003, 73727, 51246, 51051, 76337, 50427, 53075, 51072, 68189, 54584, 51273, 51134 ]
[ 0, 250, 19448, 15855, 2125, 4246, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 7212, 20889, 4, 20, 2214, 7630, 6568, 10, 5679, 26709, 8, 11653, 6711, 6, 442, 24, 10686, 13, 304, 11, 822, 2369, 36546, 4, 20, 1049, 33215, 16739, 6, 3676, 6, 163, 119, 6, 230, 119, 1176, 406, 6, 272, 6, 8, 1918, 401, 6, 3639, 7, 5, 2125, 18, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50625, 65309, 52410, 50947, 52801, 51076, 51973, 73260, 51032, 52030, 51067, 52674, 51032, 52057, 73500, 51076, 52313, 51292, 52175, 51504, 50802, 50947, 52325, 67452, 65962, 50802, 64668, 50929, 52410, 50970, 52801, 50929, 51973, 51504, 50802, 50947, 52030, 51076, 52674, 50947, 52057, 77148, 64668, 50929, 52313, 51032, 52175, 69407, 51311, 75700, 52325, 67452, 63133, 50802, 73500, 64668, 50998, 52410, 50960, 52801, 50998, 51973, 69407, 50970, 52030, 50929, 52674, 50970, 52057, 51725, 50802, 50998, 52313, 50947, 52175, 53092, 50802, 50960, 52325, 77135, 65309, 50802, 50947, 52410, 53092, 50802, 50929, 52801, 50970, 51973, 51725, 50802, 50998, 52030, 69407, 50960, 52125, 77148, 50986, 52313, 50960, 52911, 50986, 52116, 77148, 51311, 52325, 51131, 52937, 51311, 50803, 65309, 50824, 50986, 54024, 51311, 52244, 51131, 52801, 51311, 51973, 50986, 53300, 50960, 52119, 50998, 52674, 51078, 52057, 50929, 52313, 51574, 77994, 55373, 52028, 52116, 73500, 51292, 75487, 51131, 52937, 51207, 50803, 50799, 52028, 56778, 51067, 52244, 51311, 50802, 51032, 52801, 51067, 51973, 77148, 51563, 53300, 51032, 52119, 73260, 51076, 52674, 51032, 52057, 70712, 51786, 53609, 51076, 52284, 50947, 52911, 51076, 52116, 77148, 51032, 75487, 52028, 52937, 51574, 50803, 60533, 56778, 51076, 52244, 73500, 50947, 52801, 51076, 51973, 51725, 50802, 51292, 53300, 50947, 52119, 73260, 50929, 52674, 50947, 52057, 53092, 50824, 51067, 53609, 50929, 52284, 51078, 52911, 50929, 52116, 51725, 50802, 50947, 75487, 51444, 52937, 51725, 50803, 50799, 53092, 56778, 50929, 52244, 77148, 51078, 52801, 50929, 51973, 73513, 51032, 53300, 51078, 52119, 52562, 50802, 50998, 52674, 51078, 52057, 77148, 50929, 53609, 51078, 52284, 50960, 77994, 52911, 50986, 68850, 52116, 51311, 50802, 50929, 53532, 50947, 52163, 73260, 51076, 52937, 66126, 61108, 50802, 51076, 52410, 51131, 50803, 51292, 54433, 51207, 51973, 52028, 50802, 50947, 52030, 51574, 50803, 51549, 54241, 52028, 52057, 51207, 50803, 51292, 56119, 52028, 52284, 51574, 77994, 55373, 52028, 52116, 51207, 53532, 51131, 52163, 51311, 50803, 50929, 72430, 50986, 50803, 61894, 56778, 50970, 52244, 64668, 50998, 52801, 50970, 51973, 51311, 50803, 51067, 55396, 51131, 52119, 51311, 75700, 52125, 50998, 53609, 50960, 52284, 50986, 77994, 52911, 51311, 50803, 50929, 52116, 73260, 51032, 75487, 51846, 52937, 51131, 50803, 73934, 56778, 50960, 52244, 73260, 50986, 52801, 50960, 51973, 51846, 50802, 51076, 52030, 77148, 50960, 52125, 50986, 53609, 51311, 52284, 51131, 50803, 50986, 52911, 51311, 77994, 52116, 64668, 50947, 75487, 51311, 52937, 50986, 50803, 60533, 50824, 50960, 72642, 50970, 52244, 50998, 52801, 50960, 51973, 53092, 67551, 53300, 50970, 52119, 50947, 52674, 50960, 52057, 51725, 67551, 53609, 50998, 52284, 50960, 52911, 50986, 52116, 52012, 67551, 53532, 50998, 52163, 50947, 52937, 50986, 50803, 58700, 67551, 54024, 50960, 52244, 50986, 52801, 51311, 51973, 51444, 67551, 53300, 50960, 52119, 50947, 52674, 51311, 52057, 52012, 67551, 53609, 50986, 52284, 51311, 52911, 51131, 52116, 51504, 50802, 50960, 53532, 51131, 52163, 77148, 50998, 52937, 51131, 50803, 60533, 50802, 50929, 54024, 50970, 52244, 51725, 50802, 50998, 52801, 50960, 51973, 53092, 50802, 51169, 53300, 50960, 52119, 73513, 50947, 52674, 50960, 52057, 51574, 51059, 51032, 53609, 51076, 52284, 50947, 52911, 51169, 52116, 51292, 51029, 50453, 51444, 52163, 51725, 52937, 53092, 50803, 63133, 52410, 50986, 63935, 52801, 50960, 50803, 51076, 51973, 65318, 51032, 53300, 50947, 52119, 77148, 50998, 52674, 51169, 52057, 52012, 67551, 52313, 50622, 51131, 52325, 50625, 51131, 52937, 51311, 50803, 61080, 54024, 50998, 52244, 52012, 51029, 50947, 52801, 50998, 51973, 50986, 53300, 51131, 52119, 51846, 52674, 51131, 52057, 50986, 53609, 50998, 52284, 52012, 51029, 50947, 52911, 50998, 52116, 50986, 53532, 51131, 52163, 51846, 52937, 51131, 50803, 61894, 54024, 51169, 52244, 52012, 51029, 51076, 52801, 51169, 51973, 50960, 53300, 51131, 52119, 51846, 52674, 51131, 52057, 50998, 53609, 51169, 52284, 52012, 51029, 51076, 52911, 51169, 52116, 50960, 53532, 51131, 52163, 51846, 52937, 51131, 50803, 69146, 54024, 50947, 52244, 52012, 51029, 51032, 52801, 50947, 51973, 50998, 53300, 51131, 52119, 51846, 52674, 51131, 52057, 50998, 53609, 50947, 52284, 52012, 51029, 51032, 52911, 50947, 52116, 50998, 53532, 51131, 52163, 51846, 52937, 51131, 50803, 60533, 50802, 51311, 54024, 50986, 52244, 51725, 50802, 50960, 52801, 50998, 51973, 53092, 50802, 51078, 53300, 51169, 52119, 73513, 50947, 52674, 51076, 52057, 77148, 51032, 53609, 50947, 52284, 51574, 50803, 51076, 55373, 52028, 52116, 51846, 55680, 51292, 52163, 73260, 51549, 52937, 51292, 50803, 50799, 51076, 54024, 51169, 52244, 51574, 51029, 50998, 52801, 51169, 51973, 51076, 53300, 51067, 52119, 51032, 52674, 51067, 52057, 51076, 53609, 51169, 52284, 51574, 51029, 50998, 52911, 51169, 52116, 51076, 53532, 50947, 52163, 51169, 52937, 50947, 50803, 69146, 54024, 51317, 52244, 52012, 51029, 51131, 52801, 51317, 51973, 50998, 53300, 50929, 52119, 50970, 52674, 50929, 52057, 50998, 53609, 51317, 52284, 52012, 51029, 51131, 52911, 51317, 52116, 50998, 53532, 51067, 52163, 51316, 52937, 69051, 72243, 54024, 51078, 52244, 51444, 51029, 50960, 52801, 51078, 51973, 50947, 53300, 51032, 52119, 51076, 52674, 51032, 52057, 50947, 53609, 51078, 52284, 51444, 51029, 50960, 52911, 51078, 52116, 50947, 53532, 50929, 52163, 51078, 52937, 66187, 61894, 54024, 51311, 52244, 51207, 51029, 50423, 51311, 51973, 50960, 53300, 50970, 52119, 50998, 52674, 50970, 52057, 50960, 53609, 51311, 52284, 51207, 51029, 50447, 51311, 52116, 50960, 53532, 51032, 52163, 51076, 52937, 66126, 60938, 54024, 50998, 52244, 51725, 50802, 50986, 52801, 50998, 51973, 78453, 50929, 53300, 51032, 52119, 51076, 52674, 51032, 52057, 62875, 50970, 53609, 51067, 52284, 61286, 51076, 52911, 51067, 52116, 64668, 50998, 53532, 51032, 52163, 68356, 50947, 52937, 66126, 73934, 50802, 50960, 52410, 51131, 50803, 50929, 54433, 51311, 51973, 50986, 58542, 50947, 52119, 51076, 52674, 51032, 52057, 51311, 50802, 51067, 53609, 51076, 52284, 65318, 50929, 52911, 51076, 52116, 73260, 51032, 53532, 50947, 52163, 62875, 50970, 52937, 50947, 50803, 61108, 50802, 51076, 52410, 51504, 77994, 54433, 51207, 51973, 51131, 58542, 50929, 52119, 50970, 52674, 50960, 52057, 79097, 50998, 53609, 50929, 52284, 50998, 52911, 50986, 52116, 51504, 50802, 50960, 53532, 50970, 52163, 73500, 50960, 52937, 51311, 50803, 61080, 50802, 50998, 54024, 50970, 52244, 51311, 50803, 50929, 64381, 51131, 51973, 51207, 52030, 51504, 50802, 50947, 52674, 51076, 52057, 77148, 51032, 52313, 51504, 50802, 51076, 52911, 50947, 52116, 73500, 50929, 52325, 73500, 51311, 50802, 68356, 63133, 77994, 56778, 53092, 52244, 51725, 50803, 50986, 54433, 51444, 51973, 51574, 53300, 52028, 52119, 51207, 52674, 51131, 52057, 51311, 53609, 51131, 52284, 51311, 50803, 50929, 52911, 50986, 63935, 52116, 62875, 51076, 52325, 61286, 51032, 52937, 65561, 50799, 51078, 63935, 56778, 50960, 52244, 51311, 50803, 51067, 54433, 50960, 51973, 50998, 50803, 50929, 55396, 50986, 52119, 51131, 50803, 51032, 54241, 50986, 52057, 62875, 51078, 52313 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 21979, 8669, 6, 13305, 6, 3459, 9590, 6, 21072, 6, 8, 2342, 4467, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 11956, 178, 5285, 20889, 4, 20, 2125, 7630, 6568, 10, 1472, 9, 36474, 13005, 8, 5823, 6, 19, 5, 33215, 16739, 9, 230, 6, 1918, 6, 8, 274, 119, 1176, 406, 1271, 7, 63, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50799, 51825, 58536, 51469, 50900, 51353, 50871, 51353, 50877, 51353, 51164, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50791, 55949, 55614, 50856, 53403, 51327, 51631, 52287, 59746, 51662, 50885, 51662, 50872, 51662, 52261, 50432, 51825, 54572, 50915, 58285, 50872, 54975, 52932, 51370, 52878, 52287, 61128, 51097, 50885, 51097, 69427, 50447, 51825, 51757, 51981, 51049, 54363, 52287, 51754, 51981, 54572, 59847, 56144, 50974, 57128, 51825, 62415, 51655, 50899, 51359, 50871, 51359, 50877, 51359, 51171, 50915, 50946, 60871, 50915, 50946, 51283, 50848, 51283, 50872, 51283, 50791, 55949, 52981, 51327, 51631, 52287, 60019, 51662, 50946, 51662, 50848, 51662, 76372, 51825, 54572, 51003, 62224, 50872, 56509, 52932, 51370, 52878, 52287, 61128, 51097, 67355, 69427, 50447, 51825, 51757, 51981, 51049, 54363, 52287, 51754, 51981, 54572, 59925, 58736, 50838, 57128, 51825, 50795, 51096, 51469, 50871, 51359, 50906, 51359, 50902, 51359, 52021, 50915, 51164, 50915, 51037, 50915, 51037, 51283, 50848, 51283, 50872, 51283, 50791, 55949, 53223, 51327, 51631, 52287, 50795, 52021, 51662, 51164, 51662, 51037, 51662, 52261, 50432, 51825, 56592, 60871, 64986, 54975, 52932, 51370, 52878, 52287, 56932, 50932, 74868, 67907, 50447, 51825, 51757, 51981, 51049, 56725, 55223, 50856, 55423, 52287, 51754, 51981, 56592, 59718, 56144, 50974, 57128, 51825, 68152, 51036, 50997, 51353, 50899, 51353, 50871, 51353, 51332, 51003, 74962, 65131, 51037, 51283, 50848, 51283, 50872, 51283, 50791, 55949, 55614, 50856, 53403, 51327, 51631, 52287, 50795, 51332, 67881, 57245, 50905, 76372, 51825, 56592, 60871, 64986, 50915, 51332, 51318, 50988, 51318, 79845, 51065, 56748, 50856, 52742, 52932, 51370, 52878, 52287, 56932, 51097, 67355, 69427, 50447, 51825, 51757, 51981, 50800, 51332, 50995, 71432, 64583, 61713, 53922, 52287, 51754, 51981, 56592, 59718, 56144, 50974, 57128, 51825, 58536, 51696, 50871, 51359, 50877, 51359, 50876, 51359, 51164, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50791, 55949, 55614, 50856, 53403, 51327, 51631, 52287, 59746, 51662, 50885, 51662, 50872, 51662, 76372, 51825, 54572, 50915, 58285, 50872, 54975, 52932, 51370, 52878, 52287, 61128, 50932, 77043, 67907, 50447, 51825, 51757, 51981, 51049, 56725, 53922, 52287, 51754, 51981, 54572, 59847, 56144, 50974, 57128, 51825, 62415, 51696, 50899, 51359, 50871, 51359, 50877, 51359, 51171, 50915, 50946, 60871, 50915, 50946, 51283, 50848, 51283, 50872, 51283, 50791, 55949, 52981, 51327, 51631, 52287, 60019, 59467, 57053, 50905, 52261, 50432, 51825, 54572, 60871, 64986, 50915, 51171, 51318, 50946, 51318, 79927, 51065, 56748, 50856, 52742, 52932, 51370, 53041, 52287, 61128, 50932, 74868, 67907, 50447, 51825, 51757, 51981, 50800, 51171, 50995, 78883, 61542, 51441, 51202, 53922, 52287, 51754, 51981, 54572, 59718, 56144, 50974, 57128, 51825, 50795, 51096, 51469, 50871, 51353, 50906, 51353, 50902, 51353, 52021, 50915, 51164, 50915, 51037, 50915, 51037, 51477, 50848, 51477, 50872, 51477, 50791, 55949, 56260, 50856, 53403, 51327, 51631, 52287, 50795, 52021, 51523, 50297, 69178, 50905, 76372, 51825, 56592, 60871, 64986, 50915, 52021, 51318, 51164, 51318, 51037, 51318, 50438, 52932, 51370, 52878, 52287, 56932, 51097, 67355, 69427, 50447, 51825, 51757, 51981, 50800, 52021, 50995, 51164, 50995, 74732, 52093, 50453, 52287, 51754, 51981, 56592, 59718, 56144, 50974, 57128, 51825, 68152, 51655, 50871, 51353, 50906, 51353, 50902, 51353, 51332, 50915, 69433, 58285, 51037, 51477, 50848, 51477, 50872, 51477, 50791, 55949, 52981, 51327, 51631, 52287, 50795, 51332, 67881, 57245, 50905, 52261, 50432, 51825, 56592, 60871, 64986, 50915, 51332, 51318, 50988, 51318, 79845, 50438, 52932, 51370, 53041, 52287, 56932, 51097, 67355, 50872, 62877, 55721, 51825, 52390, 53166, 51981, 50800, 51332, 50995, 71432, 64583, 50816, 54944, 52287, 52390, 53556, 51981, 56592, 59925, 58736, 55974, 50841, 53206, 50908, 50799, 59857, 50945, 51274, 50900, 51151, 50871, 51151, 50877, 51151, 51164, 51003, 65131, 59381, 50946, 51318, 79845, 50872, 51318, 51335, 55089, 51041, 53516, 58352, 51164, 51677, 50885, 51677, 50872, 51677, 53659, 52844, 50945, 60884, 51003, 65131, 59381, 50801, 52621, 50929, 58536, 51016, 51897, 52878, 50970, 54572, 50995, 64583, 50872, 57991, 71048, 50964, 50914, 53659, 52738, 50946, 57245, 56743, 50905, 50799, 59857, 50927, 51274, 50871, 51151, 50877, 51151, 50902, 51151, 51171, 50943, 71047, 59911, 50946, 51318, 79927, 50872, 51318, 51897, 53516, 71655, 51171, 64004, 57046, 50892, 53659, 52844, 50927, 60884, 51003, 62224, 59381, 51171, 51310, 50946, 51310, 50848, 51310, 50435, 50929, 58291, 50947, 52444, 61675, 50927, 51196, 51897, 52878, 50970, 54572, 50995, 61542, 50872, 57991, 71048, 51171, 50981, 62443, 59762, 53659, 52881, 50946, 77256, 60745, 50834, 50799, 56745, 51096, 51343, 50899, 51151, 50871, 51151, 50877, 51151, 52021, 50943, 51164, 50943, 51037, 50943, 50946, 51318, 79927, 50872, 51318, 51897, 53087, 71048, 52021, 51501, 50297, 67842, 50892, 53659, 52844, 51096, 60884, 51003, 62224, 59381, 52021, 51310, 51164, 51310, 51037, 51310, 50801, 52766, 57304, 51096, 51196, 51897, 52878, 50929, 54572, 51318, 79927, 50872, 72269, 68137, 52021, 50981, 51164, 50981, 78889, 53659, 50828, 50799, 67877, 51096, 51274, 51040, 51353, 50871, 51353, 50906, 51353, 52021, 50943, 51164, 50943, 51037, 50943, 51037, 51318, 51017, 51318, 50872, 51318, 51897, 53087, 50947, 50991, 52021, 51501, 50297, 67842, 50892, 53659, 52844, 51096, 68726, 50943, 73132, 59504, 52021, 51310, 51164, 51310, 51037, 51310, 50801, 54248, 51064, 51724, 57304, 51096, 50896, 52166, 53041, 50929, 56592, 50995, 51017, 50995, 50872, 57991, 59205, 79292, 52021, 50981, 51164, 50981, 78889, 55359, 52738, 50960, 56932, 69751, 56743, 60745, 54794, 61270, 61080, 50967, 50945, 51274, 74228, 68485, 73891, 51164, 61677, 50943, 59504, 50946, 51318, 79845, 50872, 51318, 51897, 59013, 50970, 53467, 50929, 58067, 50947, 52329, 71655, 51164, 51677, 50885, 51677, 50872, 51677, 53659, 52844, 50945, 57743, 51803, 50877, 51803, 50876, 51803, 50946, 61677, 50943, 59504, 50437, 50947, 52444, 50929, 58536, 50896, 52166, 52878, 50970, 54572, 50995, 64583, 50872, 57991, 50947, 63847, 50943, 53659, 52738, 50946, 57245, 56743, 60745, 50829, 50799, 59857, 50927, 51274, 50899, 51353, 50871, 51353, 50877, 51353, 51171, 50943, 71047, 59911, 50946, 51318, 79927, 50872, 51318, 51897, 53087, 58352, 51171, 64004, 57046, 50892, 53659, 52667, 50927, 59157, 51003, 62224, 59381, 51171, 51310, 50946, 51310, 50848, 51310, 50801, 52621, 61675, 50927, 50943, 52166, 52878, 50970, 54572, 50995, 61542, 50872, 57991, 71048, 51069, 50914, 51171, 50981, 62443, 59762, 53659, 52738, 50946, 77256, 60745, 50835, 50799, 56745, 51096, 51274, 50871, 51353, 50877, 51353, 50902, 51353, 52021, 51003, 51164, 51003, 51037, 51003, 50946, 51318, 79927, 50872, 51318, 51897, 53087, 71048, 52021, 51501, 50297, 67842, 50892, 55359, 52844, 51096, 60884, 50943, 59911, 59504, 52021, 51310, 51164, 51310, 51037, 51310, 50801, 52621, 57304, 51096, 51274, 51897, 52878, 50929, 54572, 50995, 61542, 50872, 57991, 68137, 52021, 50981, 51164, 50981, 78889, 53659, 52738, 51096, 59157, 77256, 50905, 50799, 67877, 51096 ]
[ 0, 250, 20902, 3495, 1619, 2214, 4246, 10, 930, 2233, 6, 1076, 560, 31365, 25999, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 3459, 9590, 6, 8, 21072, 6, 70, 8216, 7, 63, 20425, 8, 15352, 30054, 16464, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 10529, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 2060, 6, 12608, 6, 230, 119, 406, 6, 163, 428, 6, 8, 12608, 1271, 7, 63, 33928, 8, 2829, 31214, 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 ]	[ 56236, 61006, 60134, 61006, 61347, 61006, 61109, 57118, 53609, 52022, 50802, 55080, 52737, 52693, 52737, 54165, 52737, 58130, 57639, 62813, 50843, 54185, 52495, 50803, 54802, 50823, 53009, 50823, 54136, 52279, 52791, 61379, 59730, 54136, 52702, 57490, 51325, 51599, 51805, 50811, 51809, 50843, 69150, 63687, 50803, 52495, 50811, 53009, 50803, 54802, 50823, 54136, 51779, 52791, 61379, 58099, 50843, 63432, 63687, 50823, 52022, 50860, 52963, 57485, 50843, 68569, 52495, 50811, 53009, 50803, 54802, 50823, 54136, 51463, 52791, 61379, 60869, 63687, 50803, 54136, 52702, 65807, 61684, 50823, 51325, 50860, 52963, 62161, 50843, 67321, 57118, 50823, 52495, 50811, 54802, 50823, 53009, 50823, 54136, 50811, 51415, 51812, 52791, 61379, 56628, 50843, 50867, 52478, 61684, 50860, 74902, 51401, 50860, 53953, 52737, 54165, 52737, 53465, 52737, 58130, 54381, 52159, 52702, 64644, 57600, 50811, 52822, 50803, 53564, 50803, 55627, 50817, 52159, 52279, 52791, 61379, 52726, 56079, 50823, 55627, 50811, 52159, 52702, 63136, 51105, 50975, 51401, 52466, 53903, 50441, 52159, 52702, 63381, 52822, 50811, 57600, 50803, 53564, 50803, 55627, 50811, 52159, 52279, 52791, 61379, 52768, 52159, 52702, 63226, 51325, 50860, 51401, 51520, 53903, 50459, 52159, 52702, 50867, 51601, 61684, 50823, 57600, 50811, 52822, 50811, 53564, 50803, 55627, 50811, 62995, 52159, 52279, 52791, 61379, 53213, 55627, 50811, 52159, 52001, 62475, 61684, 50811, 57909, 51401, 52466, 53903, 67500, 58814, 61684, 52702, 50867, 75537, 62751, 57600, 50811, 52822, 50811, 53564, 50803, 55627, 50803, 66490, 51616, 57432, 52791, 61379, 50811, 67500, 55276, 61684, 54972, 64831, 51105, 50976, 53953, 52737, 52507, 52737, 53361, 52737, 58130, 50811, 67500, 50860, 59341, 64732, 53427, 50811, 53564, 50803, 78174, 69422, 51463, 52791, 61379, 52884, 69422, 52702, 60870, 51096, 55877, 51805, 50811, 74357, 50976, 52177, 50843, 60999, 59678, 50860, 53427, 50811, 53564, 50811, 52239, 50803, 69422, 52279, 52791, 61379, 58860, 50843, 62627, 61684, 50860, 51105, 55311, 51805, 50811, 67500, 78422, 50843, 68273, 53564, 50811, 53427, 50803, 52239, 50803, 69422, 51463, 52791, 61379, 59135, 61684, 50811, 69422, 52702, 61444, 61684, 71966, 50976, 52963, 50811, 74357, 67897, 50843, 62309, 63687, 50823, 53427, 50811, 53564, 50811, 52239, 50803, 69422, 50811, 51228, 51812, 52791, 61379, 50811, 51601, 50843, 68162, 56079, 50802, 51325, 50976, 53953, 52737, 54165, 52737, 53465, 52737, 58130, 50811, 58220, 71577, 50843, 58594, 52822, 50811, 53564, 50811, 53009, 50803, 55627, 52279, 52791, 61379, 59009, 55627, 52702, 54077, 51105, 57759, 51805, 50811, 67500, 50976, 63262, 56317, 52822, 50811, 53009, 50811, 53564, 50803, 55627, 52279, 52791, 61379, 58614, 50843, 54481, 51325, 55877, 51805, 50811, 58220, 73481, 50843, 50867, 52177, 61006, 50823, 52822, 50811, 53564, 50811, 53009, 50811, 55627, 51463, 52791, 61379, 59852, 55627, 52702, 53803, 61006, 50811, 51105, 54482, 51805, 50811, 67500, 61515, 61006, 54328, 56030, 52822, 50811, 53564, 50811, 53009, 50811, 55627, 52279, 52791, 61379, 61746, 57118, 52001, 54434, 52022, 50802, 55080, 52737, 52693, 52737, 54165, 52737, 58130, 57639, 61230, 50843, 58345, 52495, 50803, 54802, 50823, 53009, 50823, 54136, 52279, 52791, 61379, 58150, 54136, 52702, 50867, 55563, 51599, 51805, 60861, 50843, 55754, 63687, 50803, 52495, 50811, 53009, 50803, 54802, 50823, 54136, 51779, 52791, 61379, 61347, 50843, 64938, 63687, 50823, 52022, 50860, 52963, 57784, 50843, 63776, 52495, 50811, 53009, 50803, 54802, 50823, 54136, 51463, 52791, 61379, 57915, 63687, 50803, 54136, 52702, 68857, 61684, 50823, 51325, 50860, 52963, 59730, 50843, 65315, 57118, 50823, 52495, 50811, 54802, 50823, 53009, 50823, 54136, 50811, 51415, 51812, 52791, 61379, 50811, 51809, 50843, 69150, 61684, 50860, 74902, 51401, 50860, 53953, 52737, 54165, 52737, 53465, 52737, 58130, 58099, 52159, 52702, 63432, 57600, 50811, 52822, 50803, 53564, 50803, 55627, 50817, 52159, 52279, 52791, 61379, 54496, 56079, 50823, 55627, 50811, 52159, 52702, 68569, 51105, 50975, 51401, 52466, 51156, 52940, 52159, 52702, 65807, 52822, 50811, 57600, 50803, 53564, 50803, 55627, 50811, 52159, 52279, 52791, 61379, 55552, 52159, 52702, 67321, 51325, 50860, 51401, 51520, 53903, 76503, 52702, 64685, 61684, 50823, 57600, 50811, 52822, 50811, 53564, 50803, 55627, 50811, 62995, 52159, 52279, 52791, 61379, 54381, 55627, 50811, 52159, 52001, 64644, 61684, 50811, 57909, 51401, 52466, 53903, 67500, 54179, 61684, 52702, 50867, 75537, 66519, 57600, 50811, 52822, 50811, 53564, 50803, 55627, 50803, 66490, 51616, 57432, 52791, 61379, 50811, 67500, 61870, 61684, 54972, 61794, 51105, 50976, 53953, 52737, 52507, 52737, 53361, 52737, 58130, 50811, 67500, 54554, 50843, 63340, 53427, 50811, 53564, 50803, 78174, 69422, 51463, 52791, 61379, 54871, 69422, 52702, 50867, 51809, 51096, 55877, 51805, 50811, 74357, 50976, 52399, 62475, 59678, 50860, 53427, 50811, 53564, 50811, 52239, 50803, 69422, 52279, 52791, 61379, 50811, 53764, 59992, 61684, 50860, 51105, 55311, 51805, 50811, 67500, 63747, 50843, 64831, 53564, 50811, 53427, 50803, 52239, 50803, 69422, 51463, 52791, 61379, 59788, 61684, 50811, 69422, 52702, 64732, 61684, 71966, 50976, 52963, 50811, 74357, 58691, 50843, 60870, 63687, 50823, 53427, 50811, 53564, 50811, 52239, 50803, 69422, 50811, 51228, 51812, 52791, 61379, 50811, 52478, 50843, 60999, 56079, 50802, 51325, 50976, 53953, 52737, 54165, 52737, 53465, 52737, 58130, 50811, 58220, 66057, 50843, 62627, 52822, 50811, 53564, 50811, 53009, 50803, 55627, 52279, 52791, 61379, 58212, 55627, 52702, 59138, 51105, 57759, 51805, 50811, 67500, 50976, 50445, 50843, 54185, 52822, 50811, 53009, 50811, 53564, 50803, 55627, 52279, 52791, 61379, 59154, 50843, 57490, 51325, 55877, 51805, 50811, 58220, 50860, 51601, 50843, 55105, 61006, 50823, 52822, 50811, 53564, 50811, 53009, 50811, 55627, 51463, 52791, 61379, 58242, 55627, 52702, 58594, 61006, 50811, 51105, 54482, 51805, 50811, 67500, 59786, 61006, 54328, 54077, 52822, 50811, 53564, 50811, 53009, 50811, 55627, 52279, 52791, 61379, 60869, 57118, 52001, 56317, 52022, 50802, 55080, 52737, 52693, 52737, 54165, 52737, 58130, 57639, 70834, 50843, 54481, 52495, 50803, 54802, 50823, 53009, 50823, 54136, 52279, 52791, 61379, 56628, 54136, 52702, 50867, 52177, 51325, 51599, 51805, 57646, 50843, 53803, 63687, 50803, 52495, 50811, 53009, 50803, 54802, 50823, 54136, 51779, 52791, 61379, 58221, 50843, 56030, 63687, 50823, 52022, 50860, 52963, 61746, 50843, 63381, 52495, 50811, 53009, 50803, 54802, 50823, 54136, 51463, 52791, 61379, 57795, 63687, 50803, 54136, 52702, 63226, 61684, 50823, 51325, 50860, 52963, 58150, 50843, 50867, 51601, 57118, 50823, 52495, 50811, 54802, 50823, 53009, 50823, 54136, 50811, 51415, 51812, 52791, 61379, 60861, 50843, 63339, 61684, 50860, 74902, 51401, 50860, 53953, 52737, 54165, 52737, 53465, 52737, 58130, 61347, 52159, 52702, 64938, 57600, 50811, 52822, 50803, 53564, 50803, 55627, 50817, 52159, 52279, 52791, 61379, 57784, 56079, 50823, 55627, 50811, 52159, 52702, 63776, 51105, 50975, 51401, 52466, 53903, 50447, 52159, 52702, 68857, 52822, 50811, 57600, 50803, 53564, 50803, 55627, 50811, 52159, 52279, 52791, 61379, 52884, 52159, 52702, 65315, 51325 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 980, 219, 8, 3366, 219, 5466, 6, 4246, 38668, 22052, 6, 38668, 483, 6, 13602, 6757, 6, 21072, 6, 8, 38668, 9590, 4, 8504, 11, 5, 762, 9, 163, 428, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 10, 11956, 38451, 3938, 20889, 4, 20, 33215, 16739, 9, 163, 43531, 6, 274, 10431, 6, 12608, 73, 597, 6, 163, 43531, 6, 8, 274, 10431, 3639, 7, 5, 2214, 18, 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 ]	[ 57333, 50796, 76501, 52479, 57241, 53112, 50962, 50799, 53112, 51552, 52606, 51359, 52582, 51307, 52072, 51359, 53034, 51359, 53608, 51353, 50432, 53714, 51496, 50799, 52606, 51183, 52582, 51127, 52252, 51183, 53034, 51183, 53608, 60610, 52016, 51183, 51821, 51127, 52072, 51183, 52009, 51183, 52547, 69600, 52479, 60345, 53112, 50890, 50799, 53112, 51552, 52606, 51359, 52582, 51307, 52072, 51359, 53034, 51359, 53608, 51353, 50432, 53714, 51661, 50799, 52606, 51127, 52582, 51103, 52252, 51127, 53034, 51127, 53608, 64164, 52016, 51127, 51821, 51127, 52072, 51047, 52009, 51183, 52547, 77307, 52479, 60345, 53112, 50962, 50799, 53112, 51761, 52606, 51359, 52582, 51359, 52072, 51151, 53034, 51353, 53608, 51293, 50432, 53714, 52282, 53870, 51562, 52490, 51562, 53292, 51505, 52606, 51183, 52582, 51127, 52252, 51103, 53034, 51183, 53608, 68076, 53714, 51388, 50438, 51105, 51448, 52490, 51448, 53112, 51237, 51821, 51183, 52398, 51127, 52736, 51103, 52547, 51183, 54229, 51183, 50450, 53292, 54403, 53292, 51696, 53870, 51036, 52490, 51036, 50746, 50295, 51184, 66024, 51184, 60608, 51184, 65050, 51184, 52606, 51307, 52582, 51307, 52072, 51151, 53034, 51359, 53608, 51293, 50441, 73683, 51300, 51528, 51300, 51206, 51151, 51105, 50807, 52490, 50807, 53015, 51012, 53292, 51505, 52606, 51413, 52582, 51189, 52072, 51134, 53034, 50943, 53608, 75584, 54133, 51138, 53714, 63982, 53112, 51138, 54097, 60919, 53015, 50923, 57390, 52325, 57390, 51021, 53015, 50893, 51528, 51594, 65487, 54748, 50828, 51105, 50976, 52490, 50976, 53815, 51359, 53125, 51359, 53475, 51353, 58670, 51505, 54264, 51100, 52072, 51359, 53034, 51359, 53608, 51353, 51921, 62861, 52273, 58250, 62129, 72356, 77264, 51832, 60659, 54384, 52516, 53696, 50841, 51105, 51012, 52490, 51012, 58670, 51012, 54264, 50805, 51999, 50971, 51974, 73242, 58250, 62129, 50803, 59674, 52505, 50911, 62423, 50893, 54256, 50892, 66837, 50882, 55407, 51045, 52224, 58586, 51832, 51450, 51864, 54701, 50841, 78153, 53185, 50911, 67060, 50911, 56256, 50901, 52260, 50891, 52129, 51594, 52273, 58064, 62129, 50803, 67038, 52401, 50923, 64451, 50806, 54025, 50845, 66837, 51014, 55407, 51045, 52283, 57301, 51832, 62178, 54384, 52516, 53696, 50839, 51205, 51286, 54306, 51286, 58203, 50948, 56845, 50866, 66837, 51033, 55407, 51045, 73516, 56370, 57305, 62129, 50803, 66837, 50936, 55407, 50936, 52215, 58586, 51832, 51528, 51594, 54701, 63055, 50851, 51205, 51012, 54306, 51012, 53815, 51127, 52867, 51103, 53475, 51183, 58203, 51505, 56845, 51111, 52252, 51183, 53034, 51183, 53608, 51047, 51921, 62861, 52273, 58250, 62129, 72356, 77264, 51832, 60659, 54384, 52516, 53696, 50841, 51205, 50923, 54306, 50923, 58203, 51138, 56845, 50849, 51999, 50971, 51974, 73242, 58250, 62129, 50803, 51228, 51012, 53185, 51012, 67060, 50893, 56256, 50892, 66837, 50882, 55407, 51045, 52224, 58586, 51832, 51450, 51508, 54701, 66999, 50810, 51096, 51379, 52999, 51379, 52592, 51127, 53125, 51127, 53648, 51183, 59463, 50879, 54685, 50905, 52072, 51183, 52009, 51183, 52547, 51047, 52260, 70041, 52273, 58064, 62129, 50803, 66837, 51014, 55407, 51045, 52283, 57301, 51832, 62178, 54384, 52516, 53696, 50839, 66837, 51033, 55407, 51045, 73516, 56370, 57305, 62129, 50803, 66837, 50936, 55407, 50936, 52215, 58586, 51832, 51528, 51594, 65487, 54748, 50828, 51105, 50976, 52490, 50976, 53815, 51359, 53125, 51359, 53475, 51353, 58670, 51505, 54264, 51110, 52072, 51359, 53034, 51359, 53608, 51353, 51921, 62861, 52273, 58250, 62129, 72356, 77264, 51832, 60659, 54384, 52516, 53696, 50841, 51105, 51012, 52490, 51012, 58670, 51012, 54264, 50805, 51999, 50971, 51974, 73242, 58250, 62129, 50803, 59674, 52505, 50911, 62423, 50893, 54256, 50892, 66837, 50882, 55407, 51045, 52224, 58586, 51832, 51450, 51864, 54701, 50841, 78153, 53185, 50911, 67060, 50911, 56256, 50901, 52260, 50891, 52129, 51594, 52273, 58064, 62129, 50803, 67038, 52401, 50923, 64451, 50806, 54025, 50845, 66837, 51014, 55407, 51045, 52283, 57301, 51832, 62178, 54384, 52516, 53696, 50839, 51205, 51286, 54306, 51286, 58203, 50948, 56845, 50866, 66837, 51033, 55407, 51045, 73516, 56370, 57305, 62129, 50803, 66837, 50936, 55407, 50936, 52215, 58586, 51832, 51528, 51594, 54701, 63055, 50851, 51205, 51012, 54306, 51012, 53815, 51127, 52867, 51103, 53475, 51183, 58203, 51505, 56845, 51111, 52252, 51183, 53034, 51183, 53608, 51047, 51921, 62861, 52273, 58250, 62129, 72356, 77264, 51832, 60659, 54384, 52516, 53696, 50841, 51205, 50923, 54306, 50923, 58203, 51138, 56845, 50849, 51999, 50971, 51974, 73242, 58250, 62129, 50803, 51228, 51012, 53185, 51012, 67060, 50893, 56256, 50892, 66837, 50882, 55407, 51045, 52224, 58586, 51832, 51450, 51508, 54701, 66999, 50810, 51096, 51379, 52999, 51379, 52592, 51127, 53125, 51127, 53648, 51183, 59463, 50879, 54685, 50905, 52072, 51183, 52009, 51183, 52547, 51047, 52260, 50891, 73683, 52097, 51180, 52273, 58064, 62129, 50803, 66837, 51014, 55407, 51045, 52283, 57301, 51832, 62178, 54384, 52516, 53696, 50839, 66837, 51033, 55407, 51045, 73516, 56370, 57305, 62129, 50803, 66837, 50936, 55407, 50936, 52215, 58586, 51832, 51528, 65765, 65487, 51422, 50832, 50828, 53292, 52244, 53292, 54381, 54427, 60493, 53355, 60364, 55794, 60159, 55794, 57782, 55794, 51653, 62178, 54384, 52516, 50930, 53462, 56192, 50941, 55537, 50803, 52215, 52445, 50799, 53222, 61530, 51594, 54701, 67853, 50907, 71110, 54306, 50806, 60516, 51447, 72190, 52147, 51921, 58156, 53222, 59251, 52273, 61988, 50362, 52486, 72356, 50365, 52073, 52794, 50426, 58073, 75382, 54384, 52516, 53696, 50837, 51205, 50893, 54306, 50893, 51999, 72605, 53222, 61530, 73242, 61988, 50362, 52486, 50803, 70195, 53185, 62960, 58073, 70069, 50364, 51459, 79122, 53222, 64843, 51508, 54701, 66161, 50822, 63984, 52999, 50865, 60608, 51447, 63036, 52147, 50441, 58073, 77340, 57278, 53222, 57284, 52273, 61988, 50362, 52486, 52911, 58073, 50364, 53102, 51459, 52794, 50450, 53222, 50365, 51597, 54384, 52516, 53696, 50837, 52145, 59923, 53222, 51269, 56370, 58586, 50362, 52486, 52937, 58073, 70069, 50363, 51459, 52794, 50799, 53222, 61530, 51594, 54701, 50835, 51105, 51192, 52490, 51192, 53292, 50811, 51921, 58156, 53222, 59251, 52273, 61988, 50362, 52486, 50803, 53292, 50811, 52111, 50365, 52073, 52794, 54427, 59101, 58073, 75382, 54384, 52516, 53696, 50837, 63046, 52490, 50806, 51999, 72605, 53222, 61530, 73242, 61988, 50362, 52486, 50803, 65340, 52505, 50879, 53355, 53660, 58073, 70069, 50364, 51459, 79122, 53222, 64843, 51864, 54701, 50825, 66072, 53185, 50795, 55794, 55092, 58073, 77340, 57278, 53222, 64843, 51594, 52273, 61988, 50362, 52486, 50803, 64584, 52401, 50893, 55794, 55059, 58073, 50364, 53102, 51459, 52794, 50450, 53222, 50365, 51597, 54384, 52516, 53696, 50837, 51205, 51060, 54306, 51060, 55794, 50802, 52145, 59923, 53222, 51269, 56370, 58586, 50362, 52486, 50803, 55537, 60343, 58073, 70069, 50363, 51459, 52794, 50799, 53222, 61530, 51594, 54701, 67853, 50907, 71110, 54306, 50806, 60516, 51447, 72190, 52147, 51921, 58156, 53222, 59251, 52273, 61988, 50362, 52486, 72356, 50365, 52073, 52794, 50426, 58073, 75382, 54384, 52516, 53696, 50837, 51205, 50893, 54306, 50893, 51999, 72605, 53222, 61530, 73242, 61988, 50362, 52486, 50803 ]
[ 0, 713, 5175, 19834, 2214, 1575, 10, 20535, 2810, 6, 38668, 9590, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 3459, 8669, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 14899, 2365, 5466, 19, 10, 11602, 9, 1619, 9450, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 20902, 27841, 139, 20889, 9, 16041, 13410, 228, 2289, 6, 10930, 12335, 5, 163, 428, 406, 8, 230, 406, 40286, 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 ]	[ 50799, 50639, 53394, 64132, 51932, 50791, 50886, 51039, 51365, 51544, 54150, 53394, 51730, 51508, 51123, 53550, 51388, 52066, 50444, 53482, 52938, 55814, 54198, 74903, 51059, 52066, 51453, 51022, 50799, 52066, 51039, 51123, 51544, 54150, 54198, 51582, 56006, 53900, 59702, 51354, 52066, 51180, 56881, 54198, 54523, 51138, 52066, 51453, 50912, 50799, 53394, 62288, 51932, 52066, 51039, 51123, 51544, 54150, 53394, 51730, 55589, 50984, 53550, 51483, 52066, 51180, 56881, 52066, 50456, 53482, 56902, 70817, 50912, 50799, 51287, 50797, 53023, 53482, 51373, 70236, 53633, 53834, 50976, 52066, 51361, 58604, 54198, 56780, 51505, 52470, 56960, 54105, 52066, 51892, 50456, 53482, 52411, 51864, 51022, 50799, 53394, 64132, 56351, 50886, 51039, 51365, 51544, 54150, 53394, 51730, 55043, 51123, 53550, 51388, 52066, 50444, 53482, 52938, 55814, 54198, 74903, 51407, 52066, 51453, 51022, 50799, 52066, 51039, 51123, 51544, 54150, 54198, 51582, 56006, 53900, 59702, 51354, 52066, 51180, 56881, 54198, 54523, 51030, 52066, 51453, 50912, 50799, 53394, 62288, 51072, 51287, 50797, 61072, 51365, 51544, 54150, 53394, 57468, 57036, 51123, 53550, 51483, 52470, 56960, 50886, 52320, 51589, 54622, 53482, 67570, 51054, 53978, 50799, 51842, 50420, 54664, 51582, 57252, 53633, 54523, 51379, 74055, 54664, 51373, 56006, 54198, 56780, 51505, 52066, 50444, 54664, 52938, 56881, 50798, 51045, 51248, 63467, 54178, 53482, 52675, 50912, 50799, 53394, 51157, 50741, 50343, 53236, 60396, 55394, 50741, 50340, 53330, 70236, 50741, 50345, 51030, 74055, 53394, 50800, 50741, 50340, 59083, 55589, 58604, 50741, 50347, 57361, 51388, 52066, 50444, 53482, 50833, 50741, 50340, 51049, 55814, 54198, 51336, 50741, 50340, 50942, 52531, 50406, 52066, 50456, 50741, 50338, 50940, 53978, 50799, 50741, 50338, 50933, 52066, 50420, 50741, 50338, 55744, 57252, 50741, 50343, 51138, 74055, 54198, 50808, 50741, 50338, 57837, 56006, 53900, 51112, 50741, 50345, 55404, 51354, 52066, 50444, 50741, 50340, 51049, 56881, 54198, 50879, 50741, 50340, 57277, 51045, 52066, 50456, 50741, 50340, 52744, 50912, 50799, 53394, 51191, 50741, 50343, 52466, 51735, 52066, 50420, 50741, 50340, 55690, 57252, 50741, 50345, 50948, 74055, 53394, 50800, 50741, 50340, 57277, 55968, 56006, 50741, 50347, 56764, 51483, 52066, 50444, 50741, 50340, 52744, 56881, 50741, 50340, 50977, 52066, 50456, 53482, 51048, 50741, 50338, 58396, 78487, 50912, 50799, 50741, 50338, 51051, 51287, 50797, 53023, 54664, 50808, 50741, 50338, 55744, 70236, 53633, 50849, 50741, 50343, 53236, 51505, 74055, 50741, 50338, 61098, 58604, 54198, 50948, 50741, 50345, 56155, 51505, 79025, 50741, 50340, 55220, 54105, 50741, 50340, 50878, 52066, 51892, 50456, 53482, 50840, 50741, 50340, 53071, 52374, 51022, 50799, 53394, 51157, 50741, 50343, 58642, 65036, 55394, 50741, 50340, 55966, 70236, 50741, 50345, 51030, 74055, 53394, 50800, 50741, 50340, 59083, 55043, 58604, 50741, 50345, 50835, 50741, 50347, 58971, 51388, 52066, 50444, 53482, 50833, 50741, 50340, 50897, 53978, 50450, 54198, 51336, 50741, 50340, 57564, 51009, 52066, 50456, 50741, 50338, 52744, 51022, 50799, 50741, 50338, 50878, 52066, 50420, 50741, 50338, 53710, 57252, 50741, 50343, 50860, 74055, 54198, 50808, 50741, 50338, 56522, 56006, 53900, 51112, 50741, 50345, 55404, 51354, 52066, 50444, 50741, 50340, 51508, 56881, 54198, 50879, 50741, 50340, 56411, 51012, 52066, 50456, 50741, 50340, 52744, 50912, 50799, 53394, 51191, 50741, 50343, 53236, 57819, 51750, 52944, 50741, 50340, 54260, 70236, 50741, 50345, 50936, 74055, 53394, 50924, 50741, 50340, 56411, 55589, 58604, 50741, 50345, 50829, 50741, 50347, 57361, 51483, 79025, 50741, 50340, 55220, 54105, 50741, 50340, 57837, 51589, 54622, 53482, 51345, 50741, 50338, 53238, 51021, 53978, 50799, 50741, 50338, 50959, 51842, 50420, 54664, 50808, 50741, 50338, 57277, 52374, 57252, 53633, 50879, 50741, 50343, 53236, 50860, 74055, 54664, 50810, 50741, 50338, 57837, 56006, 54198, 50948, 50741, 50345, 54416, 50923, 52066, 50444, 54664, 50833, 50741, 50340, 50830, 52352, 58290, 77572, 51456, 54411, 50741, 50340, 58063, 50976, 51248, 63467, 55273, 53482, 50810, 50741, 50340, 54196, 50912, 50799, 53564, 51161, 52681, 51226, 52449, 51541, 53394, 51073, 50741, 50343, 53236, 51072, 52029, 52526, 68360, 50741, 50340, 53330, 70236, 50741, 50345, 51030, 74055, 52822, 51241, 52239, 51090, 52681, 51541, 53394, 50859, 50741, 50340, 59083, 55589, 58604, 50741, 50347, 57361, 51388, 52066, 50444, 53482, 50833, 50741, 50340, 51049, 55814, 54802, 52382, 53009, 52208, 52269, 51469, 54198, 51336, 50741, 50340, 50942, 52531, 50406, 52066, 50456, 50741, 50338, 50940, 53978, 50799, 50741, 50338, 50933, 52066, 50420, 50741, 50338, 55744, 57252, 50741, 50343, 51138, 74055, 54198, 50808, 50741, 50338, 57837, 56006, 53900, 51112, 50741, 50345, 55404, 51354, 52066, 50444, 50741, 50340, 51049, 56881, 54198, 50879, 50741, 50340, 57277, 51045, 52066, 50456, 50741, 50340, 52744, 50912, 50799, 52822, 51295, 52239, 51573, 52681, 51573, 53394, 50807, 50741, 50343, 52466, 51735, 52066, 50420, 50741, 50340, 55690, 57252, 50741, 50345, 50948, 74055, 57600, 51336, 53564, 51496, 52239, 52195, 53394, 51291, 50741, 50340, 57277, 55968, 56006, 50741, 50347, 56764, 51483, 52066, 50444, 50741, 50340, 52744, 56881, 50741, 50340, 50977, 52066, 50456, 53427, 51605, 52822, 51894, 52495, 52017, 53482, 51048, 50741, 50338, 58396, 78487, 50912, 50799, 50741, 50338, 62706, 51750, 52944, 54664, 50851, 50741, 50338, 55744, 70236, 53633, 50917, 50741, 50343, 53236, 51505, 74055, 54664, 50833, 50741, 50338, 61098, 58604, 54198, 50795, 50741, 50345, 56155, 51505, 79025, 54664, 50844, 50741, 50340, 55220, 54105, 54330, 50897, 50741, 50340, 50878, 52066, 51892, 50456, 54664, 50810, 50741, 50340, 53071, 52374, 51022, 50799, 53564, 51933, 52681, 51237, 52449, 51054, 53394, 50889, 50741, 50343, 58642, 65036, 55394, 50741, 50340, 55966, 70236, 50741, 50345, 51030, 74055, 52822, 51351, 52239, 51016, 52681, 51226, 53394, 50812, 50741, 50340, 59083, 55043, 58604, 50741, 50345, 50835, 50741, 50347, 58971, 51388, 52066, 50444, 53482, 50836, 50741, 50340, 50897, 53978, 50450, 54802, 51161, 53009, 52311, 52269, 51977, 53900, 51356, 50741, 50340, 57564, 51009, 52066, 50456, 50741, 50338, 52744, 51022, 50799, 50741, 50338, 52854, 55394, 50741, 50338, 53710, 70236, 50741, 50343, 50860, 74055, 53900, 50813, 50741, 50338, 56522, 58604, 53427, 50987, 52495, 50830, 53009, 51138, 54198, 51173, 50741, 50345, 55404, 51354, 52066, 50444, 50741, 50340, 51508, 55814, 54802, 51111, 53009, 50823, 52269, 51033, 54330, 51100, 50741, 50340, 56411, 51012, 52066, 50456, 50741, 50340, 52744, 51022, 50799, 52822, 51351, 52239, 50896, 52681, 52195, 53394, 51013, 50741, 50343, 53236, 50980, 51287, 50797, 53023, 50741, 50340, 54260, 70236, 50741, 50345, 50936, 74055, 52822, 51417, 53564, 51226, 52239, 51294, 53394, 51091, 50741, 50340, 56411, 55589, 58604, 50741, 50345, 50829, 50741, 50347, 57361, 51483, 79025, 50741, 50340, 55220, 54105, 50741, 50340, 57837, 51589, 54622, 52495, 51469, 52239, 52017, 52681, 52017, 52269, 51469, 53482, 51048, 50741, 50338, 53238, 51021, 53978, 50799, 50741, 50338, 50959, 51842, 50420, 54664, 50812, 50741, 50338, 57277, 52374, 60789, 50578, 52968 ]
[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 42, 15229, 7630, 6568, 10, 1472, 9, 26545, 326, 25963, 19, 15073, 8, 11926, 4, 8504, 11, 10, 231, 73, 398, 86, 6543, 8, 1375, 23, 10, 38451, 3938, 20889, 6, 24, 1575, 10, 6755, 12547, 6, 17691, 28430, 6, 2342, 4467, 6, 30062, 620, 7085, 12280, 642, 6, 8, 15679, 642, 1543, 4, 20, 46336, 5252, 16, 17407, 30, 5, 40286, 274, 119, 6, 230, 119, 6, 8, 272, 406, 6, 70, 24826, 198, 5, 762, 9, 230, 3694, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50629, 50474, 55008, 51330, 50697, 50280, 51466, 59861, 51330, 51540, 68644, 51309, 52714, 51309, 74008, 52056, 56456, 51738, 50438, 52926, 60779, 52714, 51642, 74008, 51333, 56456, 51333, 50451, 55008, 51642, 50474, 55008, 51333, 50697, 50280, 52618, 59861, 52011, 51540, 68644, 51309, 52714, 51309, 74008, 51466, 56456, 65461, 52926, 58959, 55008, 51309, 52714, 51309, 74008, 51466, 56456, 51333, 50474, 55008, 51333, 50697, 50280, 52397, 59861, 52011, 51540, 68644, 51642, 52714, 51642, 56456, 51333, 74008, 51738, 50438, 52278, 67303, 55008, 51939, 52926, 51097, 74008, 52011, 56456, 52011, 50462, 52278, 50932, 50474, 52714, 51108, 74008, 51466, 56456, 51466, 51540, 55008, 51309, 54246, 51423, 50697, 50280, 51330, 59861, 65184, 52714, 67303, 54246, 51277, 52278, 51277, 50697, 50280, 51330, 59861, 51330, 50474, 55008, 51108, 50697, 50280, 52397, 59861, 52011, 51540, 68644, 51328, 52714, 51328, 74008, 51333, 56456, 65461, 52926, 58959, 55008, 51328, 52714, 51242, 74008, 52011, 56456, 51466, 50474, 55008, 50932, 50697, 50280, 52011, 59861, 51466, 51540, 68644, 51242, 52714, 51328, 74008, 51333, 56456, 65461, 52926, 54980, 55008, 51242, 52714, 51242, 74008, 51333, 56456, 51333, 50474, 52714, 50932, 51540, 52926, 51177, 51784, 51242, 74008, 51333, 56456, 65184, 52926, 51380, 51784, 54980, 52926, 50915, 51784, 51097, 74008, 51709, 56456, 51709, 50462, 52186, 50995, 52278, 50995, 50474, 52714, 50981, 52926, 50981, 74008, 52011, 56456, 51330, 51540, 54246, 51312, 52278, 51109, 50697, 50280, 51108, 59861, 61417, 52926, 51097, 50697, 50280, 52011, 59861, 52397, 52560, 52397, 50450, 68644, 51212, 52714, 51212, 74008, 51108, 56456, 51108, 52324, 51097, 50474, 51752, 50932, 55008, 51097, 50697, 50280, 52397, 59861, 52011, 52560, 52011, 51540, 53320, 51242, 51606, 51212, 68644, 51212, 52714, 51212, 51154, 52826, 74008, 51333, 56456, 51330, 52324, 61417, 52251, 50932, 52926, 59124, 51752, 51242, 51606, 51242, 55008, 51212, 52714, 51101, 74008, 51330, 56456, 51108, 52324, 51333, 50474, 51752, 50995, 55008, 50995, 50697, 50280, 51466, 59861, 51108, 52560, 51333, 51540, 53320, 51212, 51606, 51212, 68644, 51101, 52714, 51101, 51154, 52826, 74008, 50981, 56456, 50981, 52324, 54498, 52251, 50981, 52926, 55247, 51752, 51328, 51606, 51101, 55008, 51242, 52714, 51177, 74008, 51108, 56456, 51097, 52324, 51108, 50474, 51752, 50932, 55008, 51097, 50697, 50280, 51330, 59861, 51330, 52560, 52011, 51540, 53320, 51177, 51606, 51101, 68644, 51177, 52714, 51177, 51154, 53478, 74008, 50981, 56456, 51253, 52324, 59612, 51565, 50932, 52278, 59124, 51752, 51677, 52251, 51003, 55008, 51422, 52926, 50943, 74008, 51330, 56456, 51330, 52324, 51466, 50462, 51565, 51097, 52278, 50995, 50474, 51606, 51097, 52714, 51097, 74008, 50995, 56456, 51097, 52324, 51108, 51540, 51752, 51212, 51789, 51177, 55008, 51101, 54246, 51121, 51301, 53413, 50697, 50280, 50981, 59861, 50981, 52560, 57937, 51606, 51097, 52714, 54980, 51752, 51101, 51565, 51101, 55008, 51101, 52278, 51101, 50697, 50280, 50932, 59861, 51097, 52560, 51108, 50474, 51752, 51097, 55008, 50995, 50697, 50280, 51097, 59861, 50981, 52560, 51097, 51540, 53320, 51101, 51606, 51101, 68644, 51177, 52714, 51177, 51154, 53413, 74008, 50915, 56456, 51003, 52324, 56692, 52251, 50995, 52926, 55247, 51752, 51101, 51606, 51101, 55008, 51101, 52714, 51121, 74008, 50995, 56456, 50995, 52324, 50932, 50474, 51752, 51097, 55008, 50995, 51088, 50932, 50697, 50280, 51108, 59861, 50995, 52560, 50932, 51540, 53320, 51177, 51606, 51101, 68644, 51121, 52714, 51177, 51375, 52919, 74008, 50981, 56456, 50915, 52324, 51097, 50415, 51154, 53082, 50438, 52251, 50981, 52926, 55247, 51752, 51101, 51606, 51177, 55008, 51177, 52714, 51121, 74008, 50915, 56456, 50995, 52324, 50932, 50474, 51606, 51003, 52714, 51003, 51165, 51330, 51540, 52251, 51111, 51673, 51101, 52926, 51060, 51784, 51121, 51375, 53082, 51154, 53082, 74008, 50915, 56456, 50943, 52324, 54975, 52251, 50981, 51673, 51380, 52926, 50915, 51784, 70955, 52251, 50914, 51673, 50915, 52926, 50889, 51784, 50943, 74008, 51108, 56456, 50932, 52324, 51330, 50462, 51565, 50995, 51827, 50995, 52278, 50981, 52186, 50981, 50474, 51606, 50915, 52251, 50943, 52714, 50943, 52926, 50943, 74008, 50932, 56456, 50981, 52324, 50932, 50485, 51301, 51692, 51165, 51714, 51540, 51789, 51177, 51565, 51121, 54246, 51121, 52278, 51100, 50697, 50280, 51003, 59861, 50943, 52560, 54975, 52251, 50995, 52926, 51003, 50697, 50280, 50932, 59861, 50932, 52560, 61637, 53320, 51212, 51606, 51212, 68644, 51111, 52714, 51100, 51154, 51486, 51375, 51486, 74008, 50914, 56456, 50807, 52324, 50943, 50474, 51606, 50943, 52714, 51003, 74008, 50915, 56456, 50914, 52324, 50915, 51540, 51827, 51111, 52604, 51060, 52186, 51060, 52549, 51060, 51154, 52903, 51165, 52045, 62796, 50889, 56265, 50807, 52913, 56389, 51827, 50995, 52604, 51253, 52186, 50995, 52549, 70955, 51827, 50943, 52604, 50914, 52186, 50889, 52549, 50889, 62796, 50915, 56265, 50915, 52913, 50995, 50462, 52251, 50943, 51673, 51097, 52926, 50914, 51784, 50995, 50474, 51565, 50915, 51827, 50981, 52278, 51003, 52186, 50915, 62796, 51003, 56265, 51003, 52913, 50981, 51540, 52251, 51111, 51673, 51177, 52926, 51060, 51784, 51121, 51375, 52045, 51154, 52903, 74008, 50914, 56456, 50889, 52324, 56389, 52251, 50943, 51673, 50995, 52926, 50914, 51784, 57105, 52251, 50914, 51673, 51003, 52926, 50807, 51784, 50943, 74008, 50981, 56456, 50915, 52324, 50995, 50462, 51565, 50915, 51827, 50981, 52278, 51003, 52186, 71207, 51606, 50981, 52251, 50915, 52714, 51003, 52926, 51003, 74008, 51003, 56456, 50914, 52324, 51003, 50485, 51301, 53454, 51165, 52903, 51540, 51565, 51100, 51827, 51121, 52278, 51060, 52186, 51100, 50697, 50280, 50914, 59861, 50914, 52560, 54975, 51565, 50995, 51827, 51097, 52278, 50981, 52186, 57991, 51565, 51003, 51827, 50915, 52278, 50914, 52186, 51003, 50697, 50280, 50981, 59861, 50915, 52560, 51097, 50462, 51606, 51333, 52251, 50995, 52714, 51330, 52926, 71207, 51789, 50915, 51565, 51003, 54246, 50943, 52278, 50943, 50697, 50280, 51003, 59861, 51003, 52560, 50981, 51540, 51606, 51110, 52251, 51110, 52714, 51110, 52926, 51215, 51154, 53090, 51375, 52045, 74008, 50889, 56456, 50807, 52324, 56389, 51565, 50981, 51827, 50981, 52278, 50981, 52186, 54980, 52251, 51178, 51673, 51178, 52926, 50967, 51784, 51178, 74008, 50914, 56456, 50889, 52324, 50943, 50474, 51606, 51003, 52714, 50943, 74008, 51003, 56456, 50889, 52324, 51003, 51540, 51827, 51121, 52604, 51110, 52186, 51111, 52549, 51095, 51154, 53090, 51165, 54300, 62796, 50889, 56265, 50807, 52913, 56389, 52604, 50981, 51827, 50981, 52549, 50995, 52186, 55247, 51827, 50943, 52604, 51003, 52186, 50914, 52549, 50943, 62796, 51003, 56265, 51003, 52913, 50981, 50462, 52251, 50915, 51673, 51097, 52926, 51003, 51784, 50995, 50474, 51565, 50915, 51827, 50995, 52278, 51003, 52186, 50981, 62796, 50943, 56265, 50943, 52913, 50915, 51540, 52251, 51110, 51673, 51043, 52926, 51095, 51784, 51178, 51154, 52045, 51375, 54484, 74008, 50889, 56456, 50807, 52324, 55965, 52251, 50943, 51673, 51097, 52926, 50914, 51784, 57991, 52251, 50889, 51673, 51003, 52926, 50807, 51784, 50943, 74008, 51003, 56456, 50943, 52324, 50981, 50462, 51565, 50981 ]
[ 0, 250, 765, 5175, 2214, 19, 10, 2842, 9, 25771, 6, 4246, 10, 15352, 30054, 38668, 483, 7513, 30, 10, 3366, 219, 38668, 11212, 6, 10, 15054, 17838, 6, 8, 41, 3459, 9590, 4, 8504, 11, 5, 762, 9, 274, 3694, 19, 10, 1769, 20889, 6, 24, 6670, 41, 20425, 648, 19448, 5466, 6, 7630, 14805, 10, 5679, 26709, 8, 3366, 219, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51096, 53504, 51096, 51835, 58389, 50800, 61891, 52296, 73834, 52237, 51620, 58389, 50800, 61626, 52765, 73834, 52576, 51628, 73834, 58389, 50800, 59449, 51724, 73834, 58389, 50800, 56737, 52831, 51096, 52513, 73834, 58389, 50800, 61891, 50800, 52237, 52809, 73834, 58389, 50800, 61626, 50800, 52576, 51754, 51096, 52567, 58389, 50800, 59449, 50800, 53596, 53504, 73834, 58389, 50800, 56737, 52296, 73834, 52237, 51620, 58389, 50800, 61891, 52765, 73834, 52576, 51628, 73834, 58389, 50800, 61626, 51724, 73834, 58389, 50800, 59449, 52831, 51096, 51820, 58389, 50800, 60849, 52513, 73834, 52237, 52809, 73834, 58389, 50800, 61891, 50800, 52576, 51754, 51096, 52567, 58389, 50800, 61626, 50800, 53596, 53504, 73834, 58389, 50800, 59449, 52296, 73834, 58389, 50800, 56737, 50800, 52237, 52765, 73834, 52576, 51628, 73834, 58389, 50800, 61891, 51724, 73834, 58389, 50800, 61626, 52831, 51096, 51820, 58389, 50800, 59449, 52513, 73834, 52237, 51757, 58389, 50800, 65255, 52809, 73834, 52576, 51754, 51096, 52567, 58389, 50800, 61891, 50800, 53596, 53504, 73834, 58389, 50800, 61626, 52296, 73834, 58389, 50800, 59449, 50800, 52237, 52765, 73834, 58389, 50800, 56737, 50800, 52576, 51628, 51096, 51724, 73834, 52479, 50800, 54097, 50800, 58389, 50800, 61891, 52831, 73834, 52479, 50800, 54097, 51820, 58389, 50800, 61626, 52513, 73834, 53112, 50800, 53015, 50800, 52237, 51757, 53112, 50800, 53015, 50800, 58389, 50800, 59449, 52809, 73834, 52576, 51754, 73834, 52479, 50800, 52479, 50800, 52696, 50800, 58389, 50800, 63743, 52567, 52479, 50800, 52696, 50800, 53596, 53504, 51096, 51835, 58389, 50800, 61891, 52296, 73834, 52237, 51620, 58389, 50800, 61626, 52765, 73834, 52576, 51628, 73834, 58389, 50800, 59449, 51724, 73834, 58389, 50800, 56737, 52831, 51096, 52513, 73834, 58389, 50800, 61891, 50800, 52237, 52809, 73834, 58389, 50800, 61626, 50800, 52576, 51754, 51096, 52567, 58389, 50800, 59449, 50800, 53596, 53504, 73834, 58389, 50800, 56737, 52296, 73834, 52237, 51620, 58389, 50800, 61891, 52765, 73834, 52576, 51628, 73834, 58389, 50800, 61626, 51724, 73834, 58389, 50800, 59449, 52831, 51096, 51820, 58389, 50800, 60849, 52513, 73834, 52237, 52809, 73834, 58389, 50800, 61891, 50800, 52576, 51754, 51096, 52567, 58389, 50800, 61626, 50800, 53596, 53504, 73834, 58389, 50800, 59449, 52296, 73834, 58389, 50800, 56737, 50800, 52237, 52765, 73834, 52576, 51628, 73834, 58389, 50800, 61891, 52262, 60187, 50800, 60187, 51724, 73834, 58389, 50800, 61626, 52831, 51096, 51820, 58389, 50800, 59449, 52513, 73834, 52237, 51757, 58389, 50800, 65255, 52809, 73834, 52576, 51754, 51096, 52567, 58389, 50800, 61891, 50800, 53596, 53504, 73834, 58389, 50800, 61626, 52296, 73834, 58389, 50800, 59449, 50800, 52237, 52765, 73834, 58389, 50800, 56737, 50800, 52576, 51628, 51096, 51724, 73834, 52479, 50800, 54097, 50800, 58389, 50800, 61891, 52831, 73834, 52479, 50800, 54097, 51820, 58389, 50800, 61626, 52513, 73834, 53112, 50800, 53015, 50800, 52237, 51757, 53112, 50800, 53015, 50800, 58389, 50800, 59449, 52809, 73834, 52576, 51754, 73834, 52479, 50800, 52479, 50800, 52696, 50800, 58389, 50800, 63743, 52567, 52479, 50800, 52696, 50800, 50799, 52693, 75361, 58389, 50800, 61891, 51620, 58389, 50800, 61626, 51628, 58389, 50800, 59449, 51724, 58389, 50800, 56737, 52513, 58389, 50800, 61891, 52809, 58389, 50800, 61626, 52567, 58389, 50800, 59449, 50800, 52177, 58389, 50800, 56737, 51620, 58389, 50800, 61891, 51628, 58389, 50800, 61626, 51724, 58389, 50800, 59449, 51820, 58389, 50800, 56737, 52809, 58389, 50800, 61891, 52567, 58389, 50800, 61626, 50800, 52177, 58389, 50800, 59449, 52296, 58389, 50800, 56737, 51628, 58389, 50800, 61891, 51724, 58389, 50800, 61626, 51820, 58389, 50800, 59449, 51757, 58389, 50800, 56737, 52567, 58389, 50800, 61891, 50800, 52177, 58389, 50800, 61626, 52296, 58389, 50800, 59449, 52765, 58389, 50800, 56737, 51724, 58389, 50800, 61891, 51820, 58389, 50800, 61626, 51757, 58389, 50800, 59449, 51754, 58389, 50800, 63743, 50800, 50799, 55080, 75361, 58389, 50800, 61891, 51620, 58389, 50800, 61626, 51628, 58389, 50800, 59449, 51724, 58389, 50800, 57751, 52513, 58389, 50800, 61891, 52809, 58389, 50800, 61626, 52567, 58389, 50800, 59449, 50800, 52177, 58389, 50800, 57751, 51620, 58389, 50800, 61891, 51628, 58389, 50800, 61626, 51724, 58389, 50800, 59449, 51820, 58389, 50800, 57751, 52809, 58389, 50800, 61891, 52567, 58389, 50800, 61626, 50800, 52177, 58389, 50800, 59449, 52296, 58389, 50800, 57751, 51628, 58389, 50800, 61891, 51724, 58389, 50800, 61626, 51820, 58389, 50800, 59449, 51757, 58389, 50800, 57751, 52567, 58389, 50800, 61891, 50800, 52177, 58389, 50800, 61626, 52296, 58389, 50800, 59449, 52765, 58389, 50800, 57751, 51724, 58389, 50800, 61891, 51820, 58389, 50800, 61626, 51757, 58389, 50800, 59449, 51754, 58389, 50800, 57751, 50800, 50799, 54165, 75361, 58389, 50800, 61891, 51620, 58389, 50800, 61626, 51628, 58389, 50800, 59449, 51724, 58389, 50800, 56737, 52513, 58389, 50800, 61891, 52809, 58389, 50800, 61626, 52567, 58389, 50800, 59449, 50800, 52177, 58389, 50800, 56737, 51620, 58389, 50800, 61891, 51628, 58389, 50800, 61626, 51724, 58389, 50800, 59449, 51820, 58389, 50800, 56737, 52809, 58389, 50800, 61891, 52567, 58389, 50800, 61626, 50800, 52177, 58389, 50800, 59449, 52296, 58389, 50800, 56737, 51628, 58389, 50800, 61891, 51724, 58389, 50800, 61626, 51820, 58389, 50800, 59449, 51757, 58389, 50800, 56737, 52567, 58389, 50800, 61891, 50800, 52177, 58389, 50800, 61626, 52296, 58389, 50800, 59449, 52765, 58389, 50800, 56737, 51724, 58389, 50800, 61891, 51820, 58389, 50800, 61626, 51757, 58389, 50800, 59449, 51754, 58389, 50800, 63743, 50800, 50799, 53953, 75361, 58389, 50800, 61891, 51620, 58389, 50800, 61626, 51628, 58389, 50800, 59449, 51724, 58389, 50800, 57751, 52513, 58389, 50800, 61891, 52809, 58389, 50800, 61626, 52567, 58389, 50800, 59449, 50800, 52177, 58389, 50800, 57751, 51620, 58389, 50800, 61891, 51628, 58389, 50800, 61626, 51724, 58389, 50800, 59449, 51820, 58389, 50800, 57751, 52809, 58389, 50800, 61891, 52567, 58389, 50800, 61626, 50800, 52177, 58389, 50800, 59449, 52296, 58389, 50800, 57751, 51628, 58389, 50800, 61891, 51724, 58389, 50800, 61626, 51820, 58389, 50800, 59449, 51757, 58389, 50800, 57751, 52567, 58389, 50800, 61891, 50800, 52177, 58389, 50800, 61626, 52296, 58389, 50800, 59449, 52765, 58389, 50800, 57751, 51724, 58389, 50800, 61891, 51820, 58389, 50800, 61626, 51757, 58389, 50800, 59449, 51754, 58389, 50800, 57751, 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, 250, 8787, 5175, 15229, 19, 15855, 16882, 6, 42, 2125, 7630, 6568, 10, 5679, 26709, 8, 19448, 5466, 149, 63, 15352, 30054, 2301, 702, 30, 41, 21979, 8669, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 8, 6780, 10, 7212, 20889, 6, 24, 30853, 11, 41, 22438, 112, 73, 306, 86, 6543, 4, 20, 46336, 4811, 16, 1490, 2115, 5, 3222, 5785, 227, 5, 40286, 274, 406, 73, 250, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50624, 50423, 73711, 59400, 51549, 50821, 50799, 52562, 51285, 51207, 51285, 50415, 51246, 51285, 50416, 51136, 51285, 50929, 51274, 51549, 51274, 50435, 52562, 67066, 51207, 56360, 51246, 77291, 51136, 77561, 50929, 54989, 51064, 62888, 51549, 61951, 51563, 54411, 53019, 56277, 73837, 73837, 50799, 51846, 53466, 53729, 55246, 51846, 52877, 51131, 53794, 60738, 56277, 73573, 64752, 55099, 55046, 60848, 51549, 52247, 51563, 71832, 51438, 60958, 51549, 54459, 65611, 51246, 51196, 50441, 51549, 52597, 51438, 54787, 51563, 52610, 52866, 55982, 53019, 52935, 53729, 50936, 50460, 53019, 50880, 50799, 53019, 50880, 77389, 56767, 50416, 52866, 61134, 51563, 54658, 51438, 61135, 51549, 60743, 51067, 53939, 51032, 50921, 77389, 50428, 51064, 59965, 51169, 54053, 50929, 62887, 50970, 60958, 51136, 54459, 50960, 50936, 50442, 51136, 54989, 63852, 50448, 50929, 54411, 51169, 50917, 50454, 51064, 54647, 51032, 50936, 50460, 51064, 50880, 50799, 51064, 52247, 62318, 64252, 57566, 51169, 52322, 52562, 50806, 64252, 60494, 55046, 50459, 73711, 59400, 51549, 50821, 50799, 52562, 51285, 51207, 51285, 50415, 51246, 51285, 50416, 51136, 51285, 50929, 51274, 51549, 51274, 50435, 52562, 67066, 51207, 56360, 51246, 77291, 51136, 77561, 50929, 54989, 51064, 62888, 51549, 61951, 51563, 54411, 53019, 56277, 73837, 50799, 51846, 50917, 50418, 53805, 54658, 51725, 50849, 50424, 51292, 53939, 51438, 50917, 51725, 51486, 50430, 51563, 54053, 52866, 50917, 50436, 53568, 54459, 50621, 53729, 64480, 50623, 51438, 62888, 51563, 57099, 52866, 76520, 53568, 65372, 53729, 50921, 60938, 51274, 51246, 51196, 53729, 51226, 51136, 51196, 50430, 51438, 54053, 51563, 55246, 51549, 52877, 51067, 51274, 51246, 51196, 53729, 51226, 51064, 51196, 50454, 53019, 54647, 52866, 56277, 51438, 50821, 50799, 51549, 55419, 51246, 52247, 51207, 52309, 51246, 52322, 52562, 52692, 51246, 52610, 51207, 52931, 64252, 50799, 52562, 50806, 50929, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 51169, 60958, 50929, 53574, 52562, 50806, 51078, 55451, 51246, 52610, 59077, 56767, 50456, 64252, 60533, 50806, 51064, 72041, 51246, 52247, 51504, 57200, 51169, 52309, 60888, 51246, 55246, 51136, 52877, 62318, 50960, 52692, 51246, 52610, 51504, 52931, 64252, 60533, 50806, 51169, 70599, 51246, 52247, 51504, 52309, 51246, 55246, 51064, 60958, 51169, 53574, 62318, 50929, 55451, 51246, 52610, 66530, 51169, 57024, 64252, 50799, 52562, 50806, 51032, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 51064, 52877, 51064, 50883, 52562, 50806, 50929, 67114, 51246, 52610, 51207, 52931, 64252, 50799, 52562, 50806, 50929, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 50929, 52877, 62318, 50929, 65980, 51246, 52610, 51207, 52931, 51246, 56277, 59400, 50799, 53805, 50806, 50929, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 50929, 52877, 51064, 50936, 51725, 51196, 50442, 50986, 54989, 51846, 54787, 50986, 53153, 60888, 50452, 50929, 64848, 51169, 72727, 51064, 63357, 51032, 50812, 68892, 50936, 61446, 50418, 50947, 54658, 51136, 54007, 73633, 51032, 52309, 51067, 62268, 51549, 56360, 51549, 50936, 63965, 50442, 51064, 54989, 50929, 54787, 51136, 52848, 51549, 50936, 62867, 50454, 50947, 54647, 50929, 54863, 51136, 50812, 50799, 64252, 57566, 50415, 51064, 50936, 50416, 51067, 60647, 51131, 61135, 51246, 60892, 50986, 53425, 50960, 68748, 51136, 59225, 50970, 53695, 50929, 62268, 51169, 60958, 51064, 54459, 51032, 71771, 51067, 62505, 51549, 54989, 51438, 61998, 51563, 61951, 52866, 54411, 51438, 72480, 51067, 58215, 50623, 50454, 51064, 54647, 50622, 51169, 61765, 50998, 57521, 50621, 50460, 51078, 50836, 57128, 52562, 50806, 50929, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 51169, 60958, 50929, 53574, 52562, 50806, 51078, 55451, 51246, 52610, 59077, 56767, 50456, 64252, 60533, 50806, 51064, 72041, 51246, 52247, 51504, 57200, 51169, 52309, 60888, 51246, 55246, 51136, 52877, 62318, 50960, 52692, 51246, 52610, 51504, 52931, 64252, 60533, 50806, 51169, 70599, 51246, 52247, 51504, 52309, 51246, 55246, 51064, 60958, 51169, 53574, 51574, 50806, 50929, 55451, 51246, 52610, 66530, 51169, 57024, 64252, 60533, 50806, 51032, 70599, 51246, 52247, 51504, 52309, 51246, 55246, 50947, 60958, 51064, 53574, 52562, 50806, 50929, 55451, 51246, 52610, 51207, 52931, 64252, 50799, 52562, 50806, 50929, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 50929, 52877, 62318, 50929, 65980, 51246, 52610, 51207, 52931, 51246, 56277, 59400, 50799, 53805, 50806, 50929, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 50929, 52877, 51064, 50936, 51725, 51196, 50442, 50986, 54989, 51846, 54787, 50986, 53153, 60888, 50452, 50929, 64848, 51169, 62516, 51064, 63357, 51032, 50812, 68892, 50936, 61446, 50418, 50947, 54658, 51136, 54007, 73633, 51032, 52309, 51067, 59890, 51549, 56057, 51549, 50936, 63965, 50442, 51064, 54989, 50929, 54787, 51136, 52848, 50622, 51032, 50936, 63965, 50454, 51064, 54647, 51169, 54863, 60888, 57448, 51136, 58718, 51246, 52774, 51207, 51274, 50423, 51246, 52247, 51136, 57200, 50929, 52686, 51064, 54125, 50929, 53470, 51136, 57419, 51246, 52692, 51207, 51274, 50447, 51246, 52610, 51136, 59908, 50929, 52935, 51064, 54421, 50929, 50812, 69683, 58718, 51246, 52774, 51207, 54901, 51246, 52247, 52562, 57200, 51207, 52309, 51246, 55246, 51136, 52877, 55046, 50441, 51064, 52692, 51549, 54787, 51067, 53153, 51032, 59908, 51064, 52935, 51169, 56277, 59400, 50799, 57566, 50417, 51246, 52774, 51444, 51274, 50423, 51246, 52247, 50970, 57200, 51169, 52686, 51064, 54125, 51169, 52841, 50970, 57419, 51246, 52692, 51444, 51274, 50447, 51246, 52610, 57566, 50453, 51169, 52935, 51064, 54421, 51169, 50812, 66474, 56191, 51246, 53113, 51444, 54901, 51246, 52422, 50970, 55104, 51169, 52686, 51064, 53660, 51032, 52877, 51067, 56050, 51549, 53247, 51438, 54787, 51563, 53153, 52866, 55982, 53019, 52935, 53729, 50936, 50460, 53019, 50880, 50799, 60494, 55046, 53019, 52774, 51207, 51274, 50423, 51246, 52247, 51136, 57200, 50929, 52686, 51064, 54125, 50929, 53470, 51136, 56050, 51246, 52692, 51207, 51274, 50447, 51246, 52610, 51136, 59908, 50929, 52935, 51064, 54421, 50929, 50812, 69683, 58718, 51246, 52774, 51207, 54901, 51246, 52247, 52562, 57200, 51207, 52309, 51246, 55246, 51136, 52877, 55046, 50441, 51064, 52692, 51549, 54787, 51067, 53153, 51032, 59908, 51064, 52935, 51169, 56277, 59400, 50799, 57566, 50417, 51246, 52774, 51444, 51274, 50423, 51246, 52422, 50970, 57850, 51169, 52686, 51064, 54125, 51169, 53470, 50970, 56050, 51246, 52692, 51444, 51274, 50447, 51246, 53153, 50970, 58215, 51169, 52935, 51064, 54421, 51169, 50812, 50799, 57566, 50417, 51246, 52774, 51444, 54901, 51246, 52247, 50970, 57200, 51169, 52686, 51064, 53660, 51032, 52877, 51067, 56050, 51549, 53247, 51438, 54787, 51563, 53153, 52866, 55982, 53019, 52935, 53729, 54863, 55543, 50821, 50799, 60494, 55046, 60738, 52774, 51207, 54007, 51246, 52422, 51136, 57200, 51246, 69055, 51207, 53660, 51246, 52877, 51846, 56358, 50986, 52692, 51136, 55967, 51846, 53153, 51131, 55982, 50986, 52931, 51136, 56277, 51846, 50821, 50799, 63965, 50417, 50960, 52774, 50970, 54901, 51064, 52422, 50947, 55104, 51064, 52749, 51032, 53660, 51064, 53470, 51067, 56050, 51032, 52597, 51549 ]
[ 0, 250, 32076, 8, 33558, 3495, 3152, 2214, 11, 381, 538, 6, 4246, 10, 11739, 9, 13305, 6, 21979, 8669, 6, 81, 9756, 8669, 6, 24896, 6, 8, 2382, 3459, 8669, 4, 590, 10, 20889, 9, 13950, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 15352, 30054, 2125, 7630, 6568, 10, 1472, 9, 11098, 8, 7125, 6, 442, 24, 10, 1969, 2564, 13, 5, 1619, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 53028, 50887, 51544, 50887, 53924, 60364, 51245, 58690, 51478, 58690, 51940, 58690, 50804, 51010, 55258, 51010, 53526, 51010, 51382, 51010, 55350, 51010, 54124, 51010, 62193, 68808, 52331, 50823, 52124, 51045, 51844, 51237, 66133, 55476, 50880, 55676, 65291, 68811, 52331, 50823, 52124, 60717, 52524, 74393, 51915, 50975, 52047, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 51957, 60717, 52781, 74393, 51726, 50823, 70860, 51374, 52512, 71617, 63674, 68811, 51726, 50823, 51815, 60717, 52800, 74393, 51990, 50975, 52473, 78519, 63728, 68811, 51726, 50823, 51815, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 51844, 51237, 71617, 65291, 68811, 52331, 50823, 52124, 60717, 52524, 74393, 51915, 50975, 52047, 51483, 51478, 51354, 50903, 71128, 62108, 68811, 52899, 50823, 54322, 51045, 52232, 51014, 51640, 60717, 52781, 74393, 51726, 50823, 70860, 51323, 51054, 51478, 51354, 51374, 51237, 71617, 63674, 68811, 51726, 50823, 70860, 52232, 51014, 50903, 52800, 74393, 51990, 50975, 52473, 51483, 51323, 51054, 51478, 51354, 51640, 51237, 50903, 71128, 63728, 68811, 51726, 50823, 70860, 51478, 51573, 50903, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 51844, 51745, 71617, 65291, 68811, 52331, 50823, 52124, 60717, 52524, 74393, 51915, 50975, 52047, 51483, 51746, 69702, 71128, 62108, 68811, 52899, 50823, 54322, 51045, 51957, 60717, 52781, 74393, 51726, 50823, 70860, 51404, 55198, 51323, 55198, 51374, 51761, 71617, 63674, 68811, 51726, 50823, 51815, 60717, 52800, 74393, 51990, 50975, 52473, 78519, 63728, 68811, 51726, 50823, 51815, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 51844, 51237, 71617, 65291, 68811, 52331, 50823, 52124, 60717, 52524, 74393, 51915, 50975, 52047, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 51640, 60717, 52781, 74393, 51726, 50823, 70860, 51374, 51012, 71617, 63674, 68811, 51726, 50823, 70860, 51374, 60717, 52800, 74393, 51990, 50975, 52473, 51483, 51640, 69918, 71128, 63728, 68811, 51726, 50823, 70860, 51374, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 51844, 51745, 71617, 65291, 68811, 52331, 50823, 52124, 51045, 54992, 60717, 52524, 74393, 51915, 50975, 52047, 51483, 54992, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 54992, 51045, 51640, 60717, 52781, 74393, 51726, 50823, 70860, 56806, 51483, 51374, 52512, 71617, 63674, 68811, 51726, 50823, 70860, 53274, 60717, 52800, 74393, 51990, 50975, 52473, 51483, 53274, 78519, 63728, 68811, 51726, 50823, 70860, 56806, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 54992, 51045, 51349, 51745, 71617, 69736, 54992, 51045, 50422, 68811, 52331, 50823, 52124, 51045, 54992, 60717, 52524, 74393, 51915, 50975, 52047, 51483, 54992, 69918, 71128, 54937, 56806, 51010, 50434, 68811, 52899, 50823, 54322, 51045, 53274, 51012, 51640, 60717, 52781, 74393, 51726, 50823, 70860, 51374, 52512, 71617, 63674, 68811, 51726, 50823, 70860, 53274, 60717, 52800, 74393, 51990, 50975, 52473, 51483, 56806, 78519, 63728, 68811, 51726, 50823, 70860, 53274, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 54992, 51483, 51349, 51745, 71617, 65291, 68811, 52331, 50823, 52124, 51045, 54992, 51237, 50903, 52524, 74393, 51915, 50975, 52047, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 56806, 51010, 51640, 60717, 58853, 53274, 63982, 74393, 51726, 50823, 70860, 51374, 52512, 71617, 63674, 68811, 51726, 50823, 51815, 60717, 52800, 74393, 51990, 50975, 52473, 51483, 56806, 78519, 63728, 68811, 51726, 50823, 70860, 53274, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 54992, 51483, 51349, 51745, 71617, 65291, 68811, 52331, 50823, 52124, 51045, 54992, 51237, 50903, 52524, 74393, 51915, 50975, 52047, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 56806, 51010, 51640, 60717, 58853, 53274, 51483, 50438, 74393, 51726, 50823, 70860, 51374, 51483, 71617, 63674, 68811, 51726, 50823, 70860, 51844, 60717, 52800, 74393, 51990, 50975, 52473, 51483, 51857, 78519, 63728, 68811, 51726, 50823, 70860, 54992, 51045, 51957, 60717, 50813, 58282, 59998, 60874, 65687, 62401, 51482, 50823, 51763, 51045, 56806, 51483, 51181, 51761, 71617, 65291, 51171, 63764, 71767, 50944, 51045, 61909, 51482, 50823, 51763, 60717, 52524, 51171, 59998, 60874, 65687, 62401, 51425, 50975, 51616, 51483, 56806, 51237, 50903, 71128, 62108, 51171, 63764, 71767, 50944, 51045, 61909, 51990, 50823, 52473, 51045, 51181, 60717, 52781, 51171, 59998, 60874, 65687, 62401, 51265, 50823, 51282, 51045, 56806, 51483, 51349, 52512, 71617, 63674, 51171, 63764, 71767, 50944, 51045, 61909, 51265, 50823, 51282, 51045, 56806, 60717, 52800, 51171, 59998, 60874, 65687, 62401, 51545, 50975, 51595, 51483, 56806, 78519, 63728, 51171, 63764, 71767, 50944, 51045, 61909, 51265, 50823, 51282, 51045, 53274, 60717, 50813, 58282, 59998, 60874, 65687, 62401, 51482, 50823, 51763, 51045, 56806, 51237, 51181, 51745, 71617, 65291, 51171, 63764, 71767, 50944, 51045, 61909, 51482, 50823, 51763, 60717, 52524, 51171, 59998, 60874, 65687, 62401, 51425, 50975, 51616, 51483, 54992, 78519, 62108, 51171, 63764, 71767, 50944, 51045, 61909, 51990, 50823, 52473, 51045, 56806, 51045, 51181, 60717, 52781, 51171, 59998, 60874, 65687, 62401, 51265, 50823, 51282, 51045, 54992, 51237, 51181, 51237, 71617, 63674, 51171, 63764, 71767, 50944, 51045, 61909, 51265, 50823, 51282, 60717, 52800, 51171, 59998, 60874, 65687, 62401, 51545, 50975, 51595, 51483, 62580, 51237, 51338, 51237, 50903, 71128, 63728, 51171, 63764, 71767, 50944, 51045, 61909, 51265, 50823, 51282, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 54992, 51045, 51844, 51745, 71617, 69736, 56806, 57606, 53274, 51045, 50422, 68811, 52331, 50823, 52124, 60717, 52524, 74393, 51915, 50975, 52047, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 51844, 60717, 52781, 74393, 51726, 50823, 70860, 51374, 51745, 71617, 63674, 68811, 51726, 50823, 51815, 60717, 52800, 74393, 51990, 50975, 52473, 78519, 63728, 68811, 51726, 50823, 51815, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 51844, 51745, 71617, 65291, 68811, 52331, 50823, 52124, 60717, 52524, 74393, 51915, 50975, 52047, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 51338, 60717, 52781, 74393, 51726, 50823, 70860, 51957, 51483, 71617, 63674, 68811, 51726, 50823, 70860, 56806, 51045, 51374, 60717, 52800, 74393, 51990, 50975, 52473, 51483, 56806, 51237, 51640, 78519, 63728, 68811, 52899, 50823, 54322, 51045, 51957, 60717, 50813, 61281, 73335, 58512, 69288, 66812, 51012, 51726, 50823, 70860, 57198, 51012, 51374, 51761, 71617, 55777, 57198, 51745, 50422, 51217, 51045, 51042, 63450, 50992, 51045, 50935, 51045, 51726, 50823, 51815, 60717, 52524, 51217, 73335, 58512, 69288, 66812, 51012, 51368, 50975, 51401, 78519, 62108, 51217, 51045, 51042, 63450, 50992, 51045, 50935, 51045, 52007, 50823, 52159, 51045, 51957, 60717, 52781, 51217, 73335, 58512, 69288, 66812, 51012, 51545, 50823, 51595, 51045, 56806, 51012, 51857, 51761, 71617, 55489, 53274, 51012, 50446, 51217, 51045, 51042, 63450, 50992, 51045, 50935, 51045, 51545, 50823, 51595, 60717, 52800, 51217, 73335, 58512, 69288, 66812, 51012, 51729, 50975, 51495, 78519, 63728, 51217, 51045, 51042, 63450, 50992, 51045, 50935, 51045, 51545, 50823, 51595, 60717, 50813, 61281, 73335 ]
[ 0, 250, 251, 6, 2635, 12, 20764, 5175, 2125, 11, 230, 10431, 3694, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 6755, 12547, 6, 2382, 3459, 8669, 6, 21979, 8669, 6, 31391, 1672, 9590, 6, 8, 13305, 6, 2351, 10, 19448, 8, 5679, 26709, 5466, 19, 10, 12405, 1619, 16464, 6, 25, 5, 33215, 16739, 9, 163, 6, 274, 10431, 6, 8, 230, 10431, 119, 35315, 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 ]	[ 57528, 50799, 51512, 51454, 51429, 51454, 58001, 51009, 51232, 51103, 51281, 57944, 51512, 51363, 51429, 71895, 52040, 51775, 50438, 51512, 51097, 51429, 50981, 57279, 50918, 51561, 51148, 51341, 69562, 51512, 51645, 51429, 65817, 52040, 52034, 50799, 51512, 51627, 51429, 51749, 51232, 51047, 63716, 51127, 51281, 51655, 50420, 52040, 51637, 50438, 51512, 51079, 51429, 51481, 51232, 51381, 62610, 51310, 50444, 52040, 58068, 52040, 53938, 51494, 50884, 51429, 50800, 51512, 70494, 51494, 57973, 51429, 51010, 51232, 60343, 62610, 50858, 50799, 60310, 51870, 51429, 51184, 51232, 51184, 51089, 51307, 50438, 62610, 50918, 52040, 51447, 50450, 51494, 50932, 70781, 51047, 58001, 52017, 51023, 64050, 51512, 51627, 51281, 51103, 54281, 51103, 58001, 51870, 51232, 51145, 51512, 51264, 51429, 51264, 51281, 53295, 50420, 55600, 55795, 55600, 53150, 55600, 57647, 55600, 53307, 55600, 51238, 55545, 51047, 57279, 51336, 50444, 55189, 53484, 54290, 55416, 52575, 52567, 55189, 50807, 57157, 51145, 63716, 50918, 50423, 54290, 51620, 52575, 50889, 57144, 51145, 62610, 51091, 50453, 52649, 54403, 52040, 50923, 51512, 50923, 51429, 50976, 56682, 51183, 51847, 51661, 51777, 52097, 52537, 51551, 51232, 63560, 53859, 52296, 52575, 52437, 52575, 51736, 53859, 53593, 52575, 50795, 77592, 51145, 54733, 51336, 52040, 51077, 51429, 51103, 50441, 53859, 73319, 55189, 55416, 52575, 53793, 54290, 50807, 51094, 50274, 51047, 56686, 51356, 51119, 51047, 51708, 52069, 51847, 53142, 50423, 52575, 52450, 53859, 51162, 51272, 50272, 51047, 51512, 51295, 58001, 51196, 50453, 51708, 51534, 50456, 51232, 50795, 59373, 52069, 53761, 50884, 52040, 51945, 52649, 52017, 51494, 76811, 53761, 52296, 53761, 54253, 53859, 51628, 53761, 51238, 50441, 53859, 54207, 53286, 54752, 52040, 65841, 51847, 50859, 59373, 51714, 51198, 51551, 52040, 52500, 52649, 52536, 50420, 55600, 55795, 55600, 53150, 55600, 57647, 55600, 53593, 55600, 71889, 51494, 51496, 50444, 53043, 50800, 51198, 77225, 53043, 50795, 51429, 55037, 51374, 50901, 55189, 50808, 58001, 50923, 52040, 50923, 51512, 66120, 53043, 50807, 55934, 51353, 51119, 51661, 56686, 51184, 51847, 52024, 50423, 55189, 51620, 54290, 69241, 51119, 51244, 50450, 54290, 52809, 55189, 52643, 53043, 52567, 55189, 50807, 54281, 52069, 58001, 52017, 51512, 51449, 50423, 54290, 51620, 52575, 51346, 50456, 51910, 73894, 51217, 51103, 54281, 51364, 58001, 51870, 51232, 51145, 51429, 54834, 51512, 52024, 54165, 52829, 50798, 50846, 51042, 50910, 50868, 51036, 50992, 68282, 55600, 50884, 51042, 51291, 50423, 55600, 50884, 50992, 51343, 50426, 55600, 61826, 52667, 51910, 50873, 55600, 53307, 55600, 51238, 55545, 50918, 57279, 74903, 50846, 51751, 51336, 50441, 51396, 51310, 50444, 55189, 50830, 51042, 51218, 50447, 50992, 51362, 50450, 54290, 59964, 52881, 52575, 52567, 55189, 50807, 57157, 51189, 63716, 54805, 50846, 52540, 51291, 50417, 51396, 51448, 50420, 51017, 51218, 50423, 54290, 63585, 51294, 50426, 52575, 60775, 52667, 51602, 50901, 57144, 51103, 62610, 58747, 50846, 51042, 73423, 51017, 53905, 51042, 51274, 57702, 55647, 52649, 54403, 52040, 50923, 51512, 50923, 51429, 50976, 56682, 51103, 51847, 51661, 51777, 52097, 52537, 51551, 51232, 51264, 52684, 74188, 53576, 53859, 52296, 52575, 52437, 52575, 52732, 52667, 52575, 53593, 52575, 50795, 77592, 51127, 54733, 51336, 52040, 51080, 51429, 51183, 54165, 56203, 55201, 53859, 51116, 51396, 51538, 50444, 51042, 64127, 50992, 51977, 50449, 54008, 59124, 55189, 59964, 50841, 51042, 72423, 52575, 53793, 54290, 50807, 51094, 50274, 51127, 56686, 51356, 51119, 51148, 51708, 52062, 51847, 53142, 52684, 74188, 54579, 52575, 52450, 53859, 51162, 71970, 51272, 50272, 51103, 51512, 51295, 58001, 51196, 54165, 72213, 53239, 50944, 61045, 51343, 50447, 50944, 51241, 57702, 72248, 58031, 51708, 51534, 50946, 66704, 51232, 53677, 50893, 50461, 53541, 51717, 52402, 51359, 52332, 52122, 59373, 51894, 53761, 50884, 52040, 51945, 52649, 52017, 51494, 51353, 53654, 52337, 50798, 55927, 53761, 52296, 53761, 51631, 50843, 55739, 53859, 51628, 53761, 51345, 57702, 52881, 52040, 65841, 51847, 62923, 51881, 51655, 51506, 51655, 59373, 51894, 51198, 51356, 52040, 52536, 52649, 52536, 50798, 50846, 51042, 52392, 50848, 52536, 50944, 52536, 50420, 55600, 55795, 55600, 53150, 55600, 61826, 52667, 55600, 53593, 55600, 71889, 51494, 51496, 50444, 53043, 50800, 51198, 77225, 53043, 50795, 51429, 55992, 60233, 54165, 62034, 51374, 50849, 55189, 50808, 58001, 50923, 52040, 50923, 51512, 54209, 54814, 53043, 50807, 50461, 51656, 51353, 55934, 51307, 53100, 51353, 51847, 51894, 51119, 52392, 56686, 51184, 52684, 60922, 54579, 55189, 51620, 54290, 51159, 50843, 54665, 51017, 73835, 50850, 51285, 50441, 50944, 51364, 50444, 51017, 51294, 50450, 54290, 52154, 55647, 55189, 52643, 79453, 51847, 50923, 63439, 50461, 54165, 51080, 54281, 51103, 55189, 50807, 52255, 51103, 52033, 51183, 52040, 50983, 51512, 51295, 58001, 51551, 50798, 78546, 51977, 50426, 52575, 52154, 55739, 54290, 51628, 55189, 50795, 51512, 51030, 52040, 51103, 59501, 51077, 54290, 50967, 52332, 51244, 51881, 51183, 51494, 51295, 56387, 50918, 53654, 51592, 50798, 50846, 55299, 50889, 51268, 51183, 50450, 52107, 52154, 55647, 52575, 51754, 54290, 50805, 52040, 50806, 51494, 50806, 50461, 51743, 51445, 53100, 51313, 57157, 51204, 52544, 50807, 51847, 52071, 63716, 51991, 51144, 51945, 50798, 50846, 53050, 51157, 51061, 52069, 50425, 53654, 55973, 51275, 55940, 50841, 55388, 73055, 51957, 54216, 51132, 54125, 51602, 60831, 52693, 51103, 62083, 51127, 51777, 70312, 50846, 62612, 55082, 50843, 52881, 54290, 50859, 51198, 50974, 51429, 50879, 55261, 51212, 51208, 51345, 50459, 55189, 50859, 55934, 51103, 53043, 50807, 52332, 51244, 51847, 51353, 51119, 51151, 53654, 52337, 52684, 67531, 50846, 53428, 50995, 51506, 51285, 51017, 52097, 50944, 52097, 50850, 51552, 51023, 78042, 55189, 51073, 71970, 54360, 51077, 54290, 50807, 52033, 74188, 50846, 51506, 51364, 51017, 51343, 50944, 51274, 50450, 52575, 52732, 52881, 54290, 51336, 50461, 53541, 51445, 51506, 51469, 55984, 51991, 51232, 51151, 51494, 51151, 51429, 52017, 54008, 67531, 50841, 51042, 52017, 50868, 52379, 50944, 51696, 50432, 51456, 72129, 56650, 51289, 68002, 50884, 51382, 53412, 57916, 61014, 52458, 50805, 55189, 50830, 51842, 50457, 51931, 50458, 51842, 60506, 59933, 55600, 50924, 53278, 51047, 54165, 51244, 50461, 51815, 51047, 54281, 51356, 53499, 51671, 52040, 51346, 51232, 51346, 51512, 51346, 53752, 60368, 62294, 50948, 50992, 65714, 50948, 51149, 50893, 51595, 51397, 51089, 51397, 51402, 74236, 50841, 59300, 71312, 62728, 77495, 52040, 51116, 51232, 51116, 51512, 51116, 56319, 64073, 50924, 50992, 50952, 50935, 50924, 51149, 50952, 51281, 50932, 51208, 50889, 76726, 55189, 50830, 52261, 50868, 75020, 67133, 50840, 51149, 50855, 51556, 50928, 57553, 51149, 50864, 50992, 62122, 63136, 55600, 51060, 53953, 51148, 53654, 53413, 57144, 51356, 52040, 51025, 51561, 51025, 51494, 51025, 53804, 50841, 78352, 50944, 50924, 68386, 54110, 51627, 52473, 51749, 51595, 51878, 51572, 74096, 50841, 78134, 50944, 50917, 68386, 51618, 53430, 52040, 51162, 51561, 51162, 51494, 51162, 56319, 50841, 50979, 50948, 50944, 65714 ]
[ 0, 250, 765, 6, 1769, 12, 20764, 5175, 8, 3495, 37903, 11, 274, 538, 6, 4246, 10, 13305, 816, 41, 20425, 8, 15352, 30054, 13931, 9, 1918, 6, 272, 6, 274, 6, 8, 272, 40286, 6, 7630, 14805, 10, 3344, 9, 11098, 8, 15073, 14, 115, 3235, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 51120, 50830, 51120, 50991, 50899, 50991, 71815, 79500, 51339, 61000, 51120, 50830, 50999, 51631, 51120, 50830, 51120, 56931, 55673, 56645, 65857, 51736, 51120, 50830, 50999, 51646, 51120, 54630, 51085, 50830, 50900, 54666, 55648, 65799, 67795, 52728, 51085, 50830, 50951, 51923, 51234, 50830, 51234, 51358, 50997, 51358, 50906, 51358, 50902, 51358, 51146, 51358, 54662, 50830, 50931, 52115, 51234, 53244, 51234, 54372, 51234, 53402, 51234, 54630, 51234, 53484, 51234, 54896, 51234, 50830, 54662, 50830, 51234, 50991, 50997, 50991, 50906, 50991, 71815, 51146, 61000, 51234, 50830, 50902, 51631, 51234, 50830, 51234, 64823, 56730, 55673, 67026, 51736, 51234, 50830, 50902, 51646, 51234, 54630, 51085, 50830, 51085, 58035, 54666, 55648, 65799, 51798, 51085, 50830, 50876, 51923, 51085, 50830, 51120, 51358, 50899, 51358, 50902, 51358, 50931, 51358, 51339, 51358, 54868, 50830, 50877, 52115, 51120, 53244, 51120, 54372, 51120, 53402, 51120, 54630, 51120, 53484, 51120, 54896, 51120, 50830, 54868, 50830, 51120, 50991, 50899, 50991, 71815, 79500, 51339, 61000, 51120, 50830, 50999, 51631, 51120, 50830, 51120, 56931, 55673, 56645, 65857, 51736, 51120, 50830, 50999, 51646, 51120, 54630, 51085, 50830, 51085, 58035, 54666, 55648, 65799, 51798, 51085, 50830, 50951, 51923, 51234, 50830, 51234, 51358, 50997, 51358, 50906, 51358, 50902, 51358, 51146, 51358, 54662, 50830, 50931, 52115, 51234, 53244, 51234, 54372, 51234, 53402, 51234, 54630, 51234, 53484, 51234, 54896, 51234, 50830, 54662, 50830, 51234, 50991, 50997, 50991, 50906, 50991, 71815, 51146, 61000, 51234, 50830, 50902, 51631, 51234, 50830, 51234, 64823, 56730, 55673, 67026, 51736, 51234, 50830, 50902, 51646, 51234, 54630, 51085, 50830, 51085, 58035, 54666, 55648, 65799, 51798, 51085, 50830, 50876, 51923, 51085, 50830, 51120, 51358, 50899, 51358, 50902, 51358, 50931, 51358, 51339, 51358, 54868, 50830, 50877, 52115, 51120, 53244, 51120, 54372, 51120, 53402, 51120, 54630, 51120, 53484, 51120, 54896, 51120, 50830, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 20902, 8, 15352, 30054, 3495, 11057, 24904, 2125, 6, 42, 765, 2214, 22750, 1626, 11098, 8, 1007, 4, 590, 10, 32909, 981, 5, 1427, 6, 24, 11498, 10, 23667, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 272, 10431, 3694, 4, 20, 33215, 16739, 9, 12608, 8, 2060, 119, 3639, 10, 2842, 9, 1619, 9450, 7, 5, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 63515, 50804, 52220, 50878, 55207, 50982, 53327, 50908, 51302, 55047, 50955, 54321, 52767, 50804, 50837, 52594, 50839, 51450, 54566, 52267, 50804, 50982, 52612, 53003, 50798, 60146, 50870, 53061, 53137, 50804, 50820, 52198, 50834, 55669, 52220, 50878, 55207, 50982, 53327, 50908, 51302, 55047, 50955, 54321, 52767, 50804, 50837, 52594, 50839, 51450, 54566, 52568, 50965, 51048, 58220, 56001, 60146, 52193, 50804, 50820, 52198, 50834, 57497, 50976, 50861, 53073, 56724, 52149, 50804, 52220, 50878, 55207, 50982, 53327, 52976, 53709, 50995, 53709, 50914, 52061, 50914, 51641, 51800, 50288, 57710, 55047, 50955, 54321, 52767, 50804, 50837, 52594, 52950, 53437, 51148, 51744, 51103, 52314, 51103, 53437, 51103, 51360, 55877, 54566, 52267, 50804, 50982, 52612, 53003, 51503, 54209, 60146, 50870, 53061, 53137, 50804, 50820, 52198, 50834, 57497, 57710, 52220, 50878, 55207, 50982, 53327, 52976, 53709, 50867, 53709, 50836, 52061, 50836, 51641, 51581, 50288, 57710, 55047, 50955, 54321, 58027, 53709, 50867, 53709, 50836, 52061, 50836, 51641, 53695, 50804, 58039, 53709, 50822, 53709, 50812, 52061, 50812, 51641, 50812, 52594, 52950, 53437, 51412, 53437, 51124, 51744, 51124, 52314, 51124, 51360, 51599, 54566, 52267, 50804, 50982, 52612, 53003, 53437, 50822, 53437, 50812, 51723, 50812, 52314, 50812, 51503, 55580, 60146, 50870, 53061, 59699, 52039, 50822, 52039, 50812, 52298, 50812, 51579, 52955, 50804, 56399, 52211, 50867, 52211, 50836, 51431, 50836, 52264, 50836, 52198, 50834, 50799, 51898, 51097, 52067, 50943, 51898, 52821, 52061, 52821, 51360, 57710, 52220, 50878, 55207, 50982, 53327, 52976, 51898, 50835, 52067, 50841, 51503, 57710, 55047, 50955, 50427, 51898, 50835, 52067, 65416, 51898, 50835, 52067, 55739, 51898, 50835, 52067, 54131, 58027, 51898, 50835, 52067, 59483, 51898, 50835, 52067, 52667, 51898, 50835, 52067, 54131, 58803, 51898, 50835, 52067, 58608, 51898, 50835, 52067, 54665, 51898, 50835, 52067, 54131, 60723, 51898, 50835, 52067, 58694, 51898, 50835, 52067, 53116, 51898, 50835, 52067, 50841, 51360, 55877, 54566, 57512, 51898, 50829, 52067, 62078, 51898, 50829, 52067, 54735, 51898, 50829, 52067, 59117, 51898, 50835, 52067, 61374, 51898, 50835, 52067, 53041, 51898, 50835, 52067, 54131, 71102, 51898, 50835, 52067, 59673, 51898, 50835, 52067, 54926, 51898, 50835, 52067, 54131, 60852, 51898, 50835, 52067, 59596, 51898, 50835, 52067, 53083, 51898, 50835, 52067, 50841, 51503, 54209, 60146, 65392, 51898, 50829, 52067, 61425, 51898, 50829, 52067, 54363, 51898, 50829, 52067, 54212, 59699, 51898, 50835, 52067, 60233, 51898, 50835, 52067, 52881, 51898, 50835, 52067, 54131, 57620, 51898, 50835, 52067, 58323, 51898, 50835, 52067, 54814, 51898, 50835, 52067, 54131, 59933, 51898, 50835, 52067, 58660, 51898, 50835, 52067, 50841, 50799, 51898, 50835, 52067, 50841, 51360, 57710, 52220, 50878, 50415, 51898, 50829, 52067, 65334, 51898, 50829, 52067, 55221, 51898, 50829, 52067, 59740, 51898, 50835, 52067, 63094, 51898, 50835, 52067, 53223, 51898, 50835, 52067, 54131, 72592, 51898, 50835, 52067, 60161, 51898, 50835, 52067, 54477, 51898, 50835, 52067, 54131, 73309, 51898, 50835, 52067, 59761, 51898, 50835, 52067, 52870, 51898, 50835, 52067, 50841, 51503, 57710, 55047, 50955, 50427, 51898, 50835, 52067, 65416, 51898, 50835, 52067, 55739, 51898, 50835, 52067, 54131, 58027, 51898, 50835, 52067, 59483, 51898, 50835, 52067, 52667, 51898, 50835, 52067, 54131, 58803, 51898, 50835, 52067, 58608, 51898, 50835, 52067, 54665, 51898, 50835, 52067, 54131, 60723, 51898, 50835, 52067, 58694, 51898, 50835, 52067, 53116, 51898, 51008, 51898, 50925, 52067, 50925, 51360, 51599, 54566, 52568, 51399, 54739, 59631, 51399, 50884, 57497, 51588, 50293, 57710, 52220, 71640, 51430, 51354, 50416, 51405, 59346, 51360, 54964, 51176, 51879, 50305, 68549, 66811, 54742, 50982, 53327, 52976, 51430, 51804, 50288, 51828, 50288, 57710, 55047, 50940, 54321, 58734, 51360, 52658, 51176, 51879, 50305, 64545, 70017, 54078, 58039, 51430, 50858, 52594, 52950, 51399, 50846, 51360, 51828, 50293, 55877, 53661, 58772, 51360, 54682, 51176, 51879, 50305, 68549, 66811, 51537, 50329, 63159, 50982, 52612, 53003, 51503, 52545, 50288, 54209, 56776, 50870, 53061, 59842, 51360, 52863, 51176, 51879, 50305, 64545, 70017, 51879, 50329, 55060, 50820, 52198, 50834, 57497, 51588, 50293, 50976, 51147, 51505, 50804, 52220, 78217, 51360, 54964, 51176, 51879, 50305, 68549, 66811, 54742, 50982, 53327, 73309, 51147, 54818, 51147, 52236, 50288, 51828, 50288, 57710, 55047, 50940, 54321, 58734, 51360, 52658, 51176, 51879, 50305, 64545, 70017, 51879, 50324, 55020, 50837, 52594, 52950, 51360, 51828, 50293, 51599, 53661, 57512, 51147, 60254, 51360, 54682, 51176, 51879, 50305, 68549, 66811, 50857, 64614, 50841, 52612, 53035, 51147, 52640, 50288, 52545, 50288, 55580, 56776, 57859, 51360, 52863, 51176, 51879, 50305, 64545, 70017, 51879, 50324, 50880, 65694, 50841, 52198, 50895, 55881, 51588, 50295, 57710, 52220, 71640, 51147, 50993, 50419, 51197, 54964, 51176, 77242, 75205, 66811, 54742, 50982, 53327, 73309, 51147, 57480, 51503, 51828, 50288, 57710, 55047, 50940, 54321, 58734, 51147, 50883, 51197, 52658, 51176, 77242, 72889, 70017, 54078, 58803, 51147, 51030, 52594, 52950, 51197, 51828, 50295, 55877, 53661, 58772, 51197, 50907, 51147, 51388, 50444, 51176, 77242, 75205, 66811, 54742, 50982, 52612, 53003, 51503, 52545, 50326, 52014, 50288, 54209, 56776, 50870, 53061, 59842, 51197, 52863, 51176, 77242, 72889, 70017, 79975, 54172, 50820, 52198, 50834, 57497, 51588, 50293, 50976, 51405, 69405, 52220, 78217, 51360, 54964, 51176, 51879, 50305, 68549, 66811, 51537, 50329, 56106, 50982, 53327, 52976, 51399, 50821, 51503, 51828, 50288, 57710, 55047, 50940, 54321, 58734, 51360, 52658, 51176, 51879, 50305, 64545, 70017, 54078, 58803, 51062, 56535, 51399, 69921, 52950, 51360, 51828, 50293, 55877, 53661, 58772, 51360, 54682, 51176, 51879, 50305, 68549, 66811, 50857, 64614, 50841, 52612, 53035, 51503, 52545, 50288, 54209, 56776, 57859, 51360, 52863, 51399, 50884, 51176, 51879, 50305, 64545, 70017, 50890, 65694, 50841, 52198, 50895, 57497, 51588, 50332, 52370, 50293, 57710, 52220, 78217, 51360, 54964, 51176, 51879, 50305, 68549, 66811, 54742, 58362, 51430, 54345, 52976, 51430, 51689, 50288, 51828, 50288, 57710, 55047, 50940, 54321, 58734, 51360, 52658, 51176, 51879, 50305, 64545, 70017, 54078, 58803, 51430, 51138, 52594, 52950, 51360, 51828, 50293, 55877, 53661, 57512, 51399, 69396, 51360, 54682, 51176, 51879, 50305, 68549, 66811, 54742, 71102, 51399, 51505, 52612, 53003, 51503, 52545, 50288, 54209, 56776, 50870, 53061, 59842, 51360, 52863, 51176, 51879, 50305, 64545, 70017, 51879, 50329, 54332, 50820, 52198, 50834, 57497, 51588, 50293, 50976, 51147, 57710, 52220, 78217, 51360, 54964, 51176, 51879, 50305, 68549, 66811, 54742, 58362, 51147, 53988, 63026, 51147, 53087, 51503, 51828, 50288, 57710, 55047, 50940, 54321, 58734, 51360, 52658, 51176, 51879, 50305, 64545, 70017, 51879, 50324, 55020, 50837, 52594, 52950, 51147, 50823, 51360, 51828, 50293, 51599, 53661, 58772, 51360, 54682, 51176, 51879, 50305, 68549, 66811, 50857, 64614, 50841, 52612, 53035, 51503, 52545, 50288, 55580, 56776, 57859, 51147, 50961, 51360, 52863, 51176, 51879, 50305, 64545, 70017, 50890 ]
[ 0, 250, 2635, 8, 2933, 15855, 2125, 4246, 10, 12280, 3275, 1725, 3109, 6, 278, 11, 5, 762, 9, 272, 3694, 19, 10, 132, 73, 176, 86, 6543, 4, 20, 40286, 272, 6, 163, 43531, 1176, 406, 6, 211, 119, 406, 6, 1918, 406, 6, 8, 163, 428, 32, 341, 11, 10, 881, 16739, 1328, 42, 765, 15229, 6, 2351, 10, 16487, 1943, 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 ]	[ 57128, 52049, 55834, 55411, 51736, 55061, 51646, 56495, 50795, 52049, 53218, 53571, 51798, 53029, 50795, 52049, 50807, 52443, 51923, 53571, 50800, 51975, 54093, 56495, 50800, 50799, 55061, 50807, 52292, 50918, 52044, 52115, 52895, 51631, 52342, 51736, 53571, 50807, 52895, 52262, 52044, 51724, 52049, 50807, 51975, 53218, 56495, 52513, 55061, 51757, 56495, 50807, 52049, 53312, 52895, 50807, 50799, 53571, 50983, 52292, 54994, 52044, 52296, 51975, 51620, 52044, 53182, 54769, 51646, 53029, 50807, 53334, 50918, 52895, 58624, 56495, 53312, 52205, 50795, 50799, 52292, 50918, 52342, 52910, 53571, 50807, 52044, 52424, 55411, 50983, 52049, 56811, 52895, 53312, 55061, 50795, 50799, 56495, 50795, 53334, 50918, 52443, 60055, 53571, 51631, 53029, 62715, 51975, 51646, 52292, 50807, 52044, 51918, 52895, 51798, 53571, 50807, 52292, 50807, 52342, 50918, 50799, 52550, 50807, 52049, 52910, 53029, 50807, 52049, 50807, 52895, 52424, 53029, 50795, 52573, 50918, 53640, 53218, 53249, 51798, 53296, 50918, 52342, 50983, 50799, 52550, 54994, 52205, 51631, 53249, 50807, 54073, 56039, 52573, 56811, 53296, 50807, 52205, 50807, 50799, 53249, 50795, 52292, 53561, 53029, 51631, 53249, 50795, 52292, 50807, 52662, 53182, 53296, 51646, 52550, 50807, 53334, 50918, 52205, 51918, 52342, 51798, 55411, 50807, 52205, 51923, 52662, 50795, 50799, 52573, 50918, 53640, 52910, 55061, 50918, 52443, 52424, 53334, 52728, 55411, 50795, 53334, 50807, 51975, 72423, 55411, 50795, 50799, 55061, 50807, 52573, 55834, 53029, 50807, 52443, 52424, 55411, 50918, 52550, 50807, 51975, 56811, 52550, 50807, 58106, 55411, 51036, 52550, 51036, 51975, 51036, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1619, 3495, 2214, 11, 211, 538, 6, 4246, 10, 15352, 30054, 11739, 9, 13305, 6, 2382, 3459, 8669, 6, 21979, 8669, 6, 21979, 9590, 6, 8, 13602, 6757, 4, 590, 10, 1769, 20889, 8, 10, 155, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 657, 8, 26545, 4, 20, 1049, 33215, 16739, 10726, 9, 272, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67833, 51018, 67834, 51692, 51410, 53413, 51231, 53413, 51672, 53413, 54524, 51248, 52054, 74668, 51589, 52729, 50903, 62445, 56041, 50851, 51034, 51389, 51127, 51208, 50855, 51810, 52773, 51420, 50851, 75508, 52729, 51705, 51056, 50903, 62445, 56041, 50851, 67834, 51692, 51410, 53413, 51231, 53413, 51672, 53413, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 51034, 51389, 51127, 51208, 50855, 51810, 52773, 53497, 51373, 50851, 51768, 68594, 53924, 55707, 51705, 51056, 50903, 53119, 59280, 55258, 51022, 50446, 62493, 50907, 67834, 51422, 51410, 52821, 51231, 52821, 51672, 52821, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 51034, 51389, 51742, 51457, 50849, 51981, 51518, 51208, 50855, 51810, 52773, 51420, 54711, 51818, 51534, 51768, 68594, 50428, 51457, 51627, 59015, 51373, 58638, 51389, 53877, 50851, 67834, 51692, 51410, 53413, 51231, 53413, 51672, 53413, 79451, 75508, 52729, 57580, 50810, 56041, 50851, 51034, 78703, 51208, 50855, 51810, 52773, 53497, 57546, 53951, 55124, 51493, 51400, 50903, 53832, 59280, 50438, 51705, 51056, 50903, 53832, 65494, 50446, 73517, 50822, 51034, 51007, 51072, 51098, 51422, 51410, 52821, 51231, 52821, 51672, 52821, 54524, 51248, 52054, 51066, 75508, 60950, 51007, 51059, 59015, 51373, 58638, 51007, 55075, 50851, 51034, 51149, 50824, 51389, 51742, 51457, 50849, 51981, 51518, 51208, 50855, 51810, 52773, 53497, 51373, 54711, 51818, 51534, 50425, 51007, 51029, 51768, 68594, 50428, 51457, 79218, 57580, 60073, 50909, 59116, 51389, 53877, 50810, 51034, 50935, 51029, 51098, 52069, 51303, 52821, 51231, 52821, 51672, 52821, 51457, 51945, 79451, 75508, 52729, 50935, 55225, 68594, 50443, 58735, 56041, 70635, 68574, 51034, 51389, 51417, 51457, 51486, 51981, 51518, 51208, 50855, 51810, 52773, 53497, 51373, 54711, 51818, 51534, 50424, 50935, 51300, 51768, 68594, 50428, 51457, 51627, 53924, 55707, 51098, 62771, 53119, 59280, 55258, 51022, 50445, 50850, 63999, 62493, 50907, 51034, 50847, 52442, 51150, 51692, 51476, 52821, 51465, 52821, 51231, 51945, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 67834, 51127, 51231, 51486, 51327, 51518, 51020, 50855, 51403, 53243, 53497, 51373, 54711, 51249, 51534, 51768, 68594, 50428, 51231, 79218, 51668, 51056, 57580, 50810, 56041, 50810, 68423, 51692, 51476, 53413, 51465, 53413, 51231, 53413, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 67834, 51127, 51020, 50855, 51403, 53243, 53497, 51373, 50851, 75508, 52729, 52318, 51056, 57580, 50810, 56041, 50810, 51034, 67696, 51273, 51692, 51719, 52821, 51249, 51945, 51327, 52821, 51457, 52821, 52506, 53220, 67696, 57580, 61868, 50909, 51483, 59015, 62445, 56041, 70635, 50909, 51054, 51007, 50950, 51034, 51216, 51127, 51249, 51486, 51457, 51518, 51268, 50855, 51185, 52773, 51420, 54711, 51672, 51534, 50425, 67448, 51768, 68594, 50428, 51249, 79218, 52318, 51056, 50903, 62445, 50443, 50850, 51014, 56041, 50851, 79515, 52069, 51719, 52821, 51249, 51945, 51327, 52821, 51457, 52821, 52506, 70250, 50944, 51009, 75508, 52729, 57580, 60073, 61648, 56041, 50851, 51034, 50944, 51066, 51216, 51417, 51249, 51486, 51457, 51518, 51268, 50855, 51185, 52773, 53497, 51373, 54711, 51672, 51534, 50425, 50868, 51029, 51768, 68594, 50428, 51249, 51627, 53924, 55707, 51273, 62771, 53119, 59280, 55258, 51022, 50445, 50848, 69389, 62493, 50907, 51034, 50848, 52208, 51098, 52069, 51410, 53413, 51231, 53413, 51672, 53413, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 51034, 51389, 51417, 51208, 50855, 51810, 52773, 53497, 51373, 50851, 75508, 52729, 51705, 50995, 57580, 50810, 56041, 50810, 67834, 51692, 51410, 53413, 51231, 53413, 51672, 53413, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 79515, 51025, 51208, 50855, 51810, 52773, 53497, 51589, 65173, 62493, 55124, 51493, 51025, 52234, 51610, 68594, 53924, 55707, 51705, 51025, 65069, 53832, 59280, 55258, 57138, 57988, 50446, 50935, 50860, 61977, 58188, 64827, 51007, 51500, 67834, 52069, 51410, 53413, 51231, 53413, 51672, 53413, 54524, 51248, 52054, 68586, 51007, 51167, 57580, 61868, 51007, 51483, 59015, 62445, 56041, 50851, 51034, 70011, 51389, 51417, 51208, 50855, 51810, 52773, 53497, 51373, 50851, 50419, 51007, 51294, 75508, 57181, 50909, 53663, 51098, 50995, 57580, 50810, 56041, 50810, 51034, 50935, 51066, 51098, 52069, 51303, 53413, 51231, 53413, 51672, 53413, 51457, 53413, 79451, 75508, 60950, 50935, 52125, 50935, 51066, 57580, 50810, 56041, 70635, 68574, 51034, 51389, 51417, 51208, 50855, 51810, 52773, 53497, 51373, 71203, 50935, 51029, 75508, 52729, 51668, 50995, 57580, 70214, 50850, 51033, 56041, 62135, 50847, 51761, 68423, 51692, 51476, 53413, 51465, 53413, 51231, 53413, 79451, 75508, 62903, 50847, 55381, 50903, 51373, 56532, 77362, 56041, 70936, 50850, 51300, 67834, 51127, 51020, 50855, 51403, 53243, 51420, 50851, 75508, 52658, 50847, 54362, 68823, 51668, 51056, 50903, 62445, 56041, 50851, 51034, 50868, 51352, 51150, 51422, 51476, 52821, 51465, 52821, 51231, 51945, 79451, 75508, 52729, 57580, 50810, 56041, 50851, 51034, 52078, 51742, 51231, 51486, 51327, 51518, 51020, 50855, 51403, 53243, 53497, 51373, 54711, 51249, 51534, 51768, 68594, 50428, 51231, 51627, 50437, 50909, 53925, 57580, 53103, 50909, 79942, 52078, 53877, 50810, 51034, 50909, 51551, 51273, 52069, 51719, 53413, 51249, 53413, 51327, 53413, 51457, 53413, 79451, 75508, 52729, 50903, 51373, 59615, 50909, 60224, 50909, 50859, 56041, 70936, 50909, 51173, 51034, 51216, 51417, 51268, 50855, 51185, 52773, 53497, 51373, 54711, 67448, 75508, 61868, 50850, 51379, 68005, 50995, 57580, 50810, 56041, 50810, 51034, 61648, 51273, 51422, 51719, 52821, 51249, 51945, 51327, 52821, 51457, 52821, 52506, 54711, 50944, 51066, 75508, 58645, 50868, 51745, 50438, 57580, 50810, 56041, 70635, 50848, 52827, 51034, 51216, 51742, 51249, 51486, 51457, 51518, 51268, 50855, 51185, 52773, 51420, 54711, 51672, 51534, 51768, 68594, 50428, 51249, 51627, 59015, 51373, 58638, 51216, 53877, 70936, 50848, 51072, 79515, 52069, 51719, 53413, 51249, 53413, 51327, 53413, 51457, 53413, 52506, 68014, 50868, 51745, 75508, 52729, 50944, 51300, 50903, 62445, 56041, 50851, 51034, 51216, 51417, 51268, 50855, 51185, 52773, 53497, 51373, 68014, 50909, 51761, 75508, 52729, 51273, 50995, 57580, 60696, 80146, 56041, 50810, 67834, 52069, 52571, 53413, 51410, 53413, 51231, 53413, 79451, 59609, 66350, 50847, 52017, 75508, 52729, 50903, 62445, 56041, 50851, 51034, 51389, 51417, 51208, 50855, 51810, 52773, 53497, 51373, 50851, 75508, 52729, 51216, 50995, 57580, 50810, 56041, 50810, 67834, 51692, 51410, 52821, 51231, 52821, 51672, 52821, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 79515, 51025, 51457, 50849, 51981, 51518, 51208, 50855, 51810, 52773, 53497, 51589, 54711, 51818, 51534, 50422, 62493, 55124, 51493, 51025, 52234, 51610, 68594, 50428, 51457, 51627, 53924, 55707, 51705, 51115, 65069, 53832, 59280, 55258, 51022, 50446, 61977, 58188, 64827, 78771, 51034, 51007, 51932, 50847, 51227, 51098, 51422, 51410, 53413, 51231, 53413, 51672, 53413, 52796, 53849, 51401, 51680, 54524, 51248, 52054, 51022, 50415, 52451, 57771, 53648, 55392, 50422, 51083, 69029, 51007, 51300, 50935, 51300, 51020, 50932, 57580, 57181, 51083, 51852, 50438, 51208, 51309, 50903, 51373, 58638, 51083, 51642, 50801 ]
[ 0, 250, 15855, 8, 5175, 2125, 4246, 10, 13305, 6, 42, 2214, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 15352, 30054, 23225, 4, 8504, 11, 211, 538, 8, 10, 132, 73, 306, 86, 6543, 6, 24, 30853, 23, 10, 7212, 20889, 6, 2351, 10, 1472, 9, 26545, 8, 9066, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 66702, 51026, 60379, 67888, 51535, 56945, 54335, 51086, 65909, 51318, 56014, 50905, 64690, 59023, 51662, 50420, 79407, 50916, 61544, 50951, 52921, 50999, 63270, 54342, 50899, 58363, 50905, 78246, 58363, 55126, 50989, 66228, 54335, 50916, 58127, 51535, 58296, 65909, 50905, 63188, 66228, 55126, 51027, 59023, 50905, 53337, 72169, 51535, 56014, 51644, 50322, 50905, 51057, 51086, 59023, 55126, 50916, 58127, 54335, 51040, 62430, 51535, 74769, 66386, 50905, 64690, 58127, 55126, 51040, 72169, 54335, 51086, 62035, 51535, 74769, 60379, 50905, 65679, 62430, 55126, 51378, 72169, 54335, 51315, 51644, 50305, 51480, 50861, 51318, 74769, 50905, 69953, 62035, 51803, 69724, 50822, 51315, 61544, 50861, 52921, 62804, 51378, 65005, 50861, 53193, 80255, 51315, 60282, 57660, 51057, 62804, 51120, 67943, 50861, 53728, 80255, 51315, 61544, 50916, 52921, 60501, 51378, 65005, 50900, 53193, 51086, 50822, 51120, 60282, 51027, 50822, 65679, 51644, 50303, 55126, 67642, 51027, 61544, 50876, 52921, 59139, 51086, 65005, 50876, 53193, 67642, 51027, 60234, 59855, 51057, 59139, 51026, 67075, 50876, 53728, 67642, 51027, 62149, 50877, 52921, 57660, 51086, 64318, 50871, 53193, 63077, 51026, 58952, 60501, 51057, 63077, 50900, 63118, 50861, 53728, 62804, 51086, 58861, 50973, 52921, 59855, 51027, 59910, 50968, 53193, 79407, 51026, 61647, 64413, 51057, 69165, 51378, 71423, 50876, 54351, 73186, 51315, 63867, 50877, 53450, 73186, 51197, 64627, 50999, 52658, 65111, 51324, 60698, 51114, 50810, 51057, 65111, 51315, 76882, 50973, 54611, 74730, 51279, 60522, 50902, 53906, 74730, 51027, 62554, 50951, 53627, 51114, 50833, 51040, 58926, 66642, 51057, 51114, 64912, 66147, 50902, 52871, 58368, 51040, 59573, 51114, 52710, 59285, 51086, 58983, 51114, 52559, 72370, 51026, 57807, 66638, 51057, 79514, 51027, 55728, 50877, 51835, 61783, 51026, 53471, 51028, 51620, 57213, 51378, 65708, 50968, 53974, 51114, 50859, 51315, 63363, 69084, 69953, 51936, 50325, 51227, 51114, 51661, 50420, 51315, 55341, 51378, 51936, 50330, 51343, 71341, 50893, 75040, 75672, 51977, 50420, 51399, 50858, 51086, 64784, 51146, 54149, 51430, 51879, 50305, 55214, 51027, 75208, 50893, 64690, 51936, 50322, 56763, 51378, 72386, 60446, 51345, 50426, 60003, 51026, 54253, 51114, 52559, 72370, 51027, 62036, 57807, 61673, 69953, 51124, 50902, 51413, 50417, 50877, 53932, 50989, 51241, 50423, 51027, 50854, 53337, 51025, 65679, 60379, 67888, 51535, 56945, 54335, 51086, 65909, 51318, 56014, 50905, 64690, 59023, 51662, 50420, 79407, 50916, 61544, 50951, 52921, 50999, 63270, 54342, 50899, 58363, 50905, 78246, 58363, 55126, 50989, 66228, 54335, 50916, 58127, 51535, 58296, 65909, 50905, 63188, 66228, 55126, 51027, 59023, 50905, 53337, 72169, 51535, 56014, 51644, 50322, 50905, 51057, 51086, 59023, 55126, 50916, 58127, 54335, 51040, 62430, 51535, 74769, 66386, 50905, 64690, 58127, 55126, 51040, 72169, 54335, 51086, 62035, 51535, 74769, 60379, 50905, 65679, 62430, 55126, 51378, 72169, 54335, 51315, 51644, 50305, 51480, 50861, 51318, 74769, 50905, 69953, 62035, 51803, 69724, 50822, 51315, 61544, 50861, 52921, 62804, 51378, 65005, 50861, 53193, 80255, 51315, 60282, 57660, 51057, 62804, 51120, 67943, 50861, 53728, 80255, 51315, 61544, 50916, 52921, 60501, 51378, 65005, 50900, 53193, 51086, 50822, 51120, 60282, 51027, 50822, 65679, 51644, 50303, 55126, 67642, 51027, 61544, 50876, 52921, 59139, 51086, 65005, 50876, 53193, 67642, 51027, 60234, 59855, 51057, 59139, 51026, 67075, 50876, 53728, 67642, 51027, 62149, 50877, 52921, 57660, 51086, 64318, 50871, 53193, 63077, 51026, 58952, 60501, 51057, 63077, 50900, 63118, 50861, 53728, 62804, 51086, 58861, 50973, 52921, 59855, 51027, 59910, 50968, 53193, 79407, 51026, 61647, 64413, 51057, 69165, 51378, 71423, 50876, 54351, 73186, 51315, 63867, 50877, 53450, 73186, 51197, 64627, 50999, 52658, 65111, 51324, 60698, 51114, 50810, 51057, 65111, 51315, 76882, 50973, 54611, 74730, 51279, 60522, 50902, 53906, 74730, 51027, 62554, 50951, 53627, 51114, 50833, 51040, 58926, 66642, 51057, 51114, 64912, 66147, 50902, 52871, 58368, 51040, 59573, 51114, 52710, 59285, 51086, 58983, 51114, 52559, 72370, 51026, 57807, 66638, 51057, 79514, 51027, 55728, 50877, 51835, 61783, 51026, 53471, 51028, 51620, 57213, 51378, 65708, 50968, 53974, 51114, 50859, 51315, 63363, 69084, 69953, 51936, 50325, 51227, 51114, 51661, 50420, 51315, 55341, 51378, 51936, 50330, 51343, 71341, 50893, 75040, 75672, 51977, 50420, 51399, 50858, 51086, 64784, 51146, 54149, 51430, 51879, 50305, 55214, 51027, 75208, 50893, 64690, 51936, 50322, 56763, 51378, 72386, 60446, 51345, 50426, 60003, 51026, 54253, 51114, 52559, 72370, 51027, 62036, 57807, 61673, 69953, 51124, 50902, 51413, 50417, 50877, 53932, 50989, 51241, 50423, 51027, 50854, 53337, 51025, 64690, 60379, 50995, 56440, 50905, 53337, 51644, 50325, 51318, 56014, 50905, 51057, 51086, 55126, 51220, 50822, 51027, 61544, 51062, 52921, 78788, 51086, 65005, 51062, 53193, 51220, 73353, 60282, 72372, 65679, 58127, 51911, 50327, 51313, 56945, 54335, 51026, 60379, 51318, 50432, 51050, 50905, 51057, 51315, 55126, 66310, 51120, 61544, 50931, 52921, 64413, 51315, 65005, 50931, 53193, 66310, 51026, 60282, 59139, 68176, 66386, 51480, 51062, 51480, 53502, 50905, 53337, 60379, 51480, 51220, 51318, 64185, 50892, 72754, 58007, 51391, 50420, 69165, 51050, 62149, 51147, 53450, 50871, 73089, 57547, 50902, 58628, 58952, 60300, 64690, 64510, 62244, 75504, 74253, 51086, 58861, 51430, 52654, 51146, 64312, 59910, 51062, 53911, 51220, 65860, 61647, 50999, 50854, 73567, 78273, 50901, 54569, 51514, 50324, 51400, 53523, 61527, 52644, 50432, 69165, 51086, 60234, 51220, 50822, 75040, 77406, 55126, 51220, 59035, 61544, 51062, 52921, 78788, 50916, 65005, 51062, 53193, 51220, 50822, 50965, 60282, 78788, 51057, 51062, 59035, 67943, 51220, 53728, 72372, 50900, 61544, 51062, 52921, 51220, 73353, 65005, 50999, 53193, 51147, 50822, 51086, 60282, 51220, 50822, 63188, 51644, 50325, 53487, 67855, 59035, 61544, 50931, 52921, 64413, 51040, 65005, 50931, 53193, 50968, 59035, 60282, 64413, 51057, 62389, 50899, 67943, 50968, 53728, 59139, 50871, 61544, 50931, 52921, 66310, 50861, 65005, 50902, 53193, 72433, 50916, 60282, 66310, 72754, 50822, 50902, 51480, 50417, 50916, 53728, 60501, 51220, 50995, 50423, 50871, 53450, 65200, 50876, 51411, 50429, 50899, 53513, 66883, 50999, 50915, 50435, 67597, 64690, 50810, 50973, 51400, 50417, 50900, 53066, 51086, 50810, 51147, 63867, 50899, 50854, 53523, 69539, 68502, 62554, 51086, 53911, 51027, 50833, 51062, 58926, 51026, 50833, 67870, 50812, 50902, 54275, 51315, 50812, 51062, 52734, 51120, 50808, 51220, 53184, 51050, 50808, 51146, 52450, 59179, 51315, 51112, 50429, 51220, 51628, 50999, 66477, 51238, 50435, 51147, 50859, 75040, 51362, 50999, 51362, 50417, 50900, 54681, 51086, 52296, 50899, 52450, 50900, 60412, 51176, 53911, 51027, 54112, 51086, 50844, 51057, 51040, 51644, 50332, 51480, 56440, 54335, 51040, 65909, 51318, 74769, 50905, 64690, 51644, 50325, 51662, 50420, 79407, 51120, 50995, 50423, 50968, 52921, 51114, 56739, 50902, 53193, 72433, 51315, 60282, 66310, 51057, 51378, 60379, 51662, 56945, 54335, 51378, 77406, 51318, 50432, 51120, 50905, 65679, 55126, 51220, 50822, 51214, 51480, 50423, 50999, 52921, 51220 ]
[ 0, 713, 15352, 30054, 5175, 2214, 11, 274, 3694, 1931, 21683, 10, 12298, 1619, 4780, 19, 63, 17627, 17274, 8, 33558, 6711, 4, 16241, 212, 22052, 6, 579, 1517, 20426, 31365, 25999, 6, 8, 21072, 283, 561, 7, 1045, 10, 20902, 15229, 14, 3136, 23, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 12608, 8, 230, 10431, 6, 1271, 7, 5, 1349, 18, 33928, 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 ]	[ 56236, 50799, 51488, 51045, 51600, 51045, 51394, 50823, 52736, 50859, 53608, 50859, 53909, 53113, 53148, 50878, 63827, 53950, 51395, 51045, 51629, 51045, 51304, 50823, 53034, 50859, 54229, 50859, 53372, 52686, 53148, 50878, 63827, 54773, 51201, 51045, 51394, 51045, 51905, 50823, 52547, 50859, 53909, 50859, 55031, 53247, 53148, 50878, 63827, 54721, 51600, 51045, 51304, 51045, 51811, 50823, 53608, 50859, 53372, 50859, 54571, 52935, 53148, 50878, 63827, 50859, 70564, 51045, 51394, 51045, 51905, 50823, 52547, 50859, 53909, 50859, 55031, 53113, 51638, 50878, 54064, 53950, 51395, 51045, 51394, 51045, 51304, 50823, 53034, 50859, 53909, 50859, 53372, 52686, 51638, 50878, 54064, 54773, 51488, 51045, 51201, 51045, 51394, 50823, 52736, 50859, 52547, 50859, 53909, 53247, 51638, 50878, 54064, 54721, 51093, 50921, 51395, 50921, 51629, 51045, 51716, 50812, 53034, 50812, 54229, 54418, 51638, 50878, 54064, 50859, 50799, 51488, 51045, 51600, 51045, 51394, 50823, 52736, 50859, 53608, 50859, 53909, 53113, 52481, 50878, 65489, 53950, 51395, 51045, 51629, 51045, 51304, 50823, 53034, 50859, 54229, 50859, 53372, 52686, 52481, 50878, 65489, 54773, 51201, 51045, 51394, 51045, 51905, 50823, 52547, 50859, 53909, 50859, 55031, 53247, 52481, 50878, 65489, 54721, 51395, 51045, 51600, 51045, 51811, 50823, 53034, 50859, 53608, 50859, 54571, 52935, 52481, 50878, 65489, 50859, 50799, 51488, 51045, 51201, 51045, 51284, 51045, 51905, 50823, 52736, 50859, 52547, 50859, 53051, 50859, 55031, 53113, 51887, 50878, 55825, 53950, 51093, 51045, 51395, 51045, 51284, 51045, 51304, 50823, 51716, 50859, 53034, 50859, 53051, 50859, 53372, 52686, 51887, 50878, 55825, 54773, 51165, 51045, 51488, 51045, 51201, 51045, 51394, 50823, 52072, 50859, 52736, 50859, 52547, 50859, 53909, 53247, 51887, 50878, 55825, 54721, 51375, 50921, 51093, 50921, 51395, 50921, 51629, 51045, 52398, 50812, 51716, 50812, 53034, 50812, 54229, 54418, 51887, 50878, 55825, 50859, 50799, 53148, 50921, 51491, 50823, 51488, 50823, 51600, 50823, 51394, 50802, 63827, 50921, 52582, 50921, 52736, 50921, 53608, 50921, 53909, 65061, 51304, 50803, 53372, 54007, 76021, 53909, 52422, 51629, 50811, 54229, 56257, 76021, 53909, 52877, 52316, 51033, 51375, 50823, 51395, 50823, 51629, 50823, 51304, 50802, 57380, 51014, 52398, 50921, 53034, 51045, 54229, 51045, 53372, 62894, 51905, 50803, 55031, 54787, 51304, 50803, 53372, 53153, 51394, 50811, 53909, 57701, 51304, 50803, 53372, 50821, 50799, 51638, 51014, 51165, 50823, 51201, 50823, 51394, 50823, 51905, 50802, 54064, 51045, 52072, 50823, 52547, 50823, 53909, 50823, 55031, 52410, 51811, 50803, 54571, 57852, 51905, 50803, 55031, 54631, 51304, 50811, 53372, 52726, 51905, 50803, 55031, 55734, 51154, 51021, 51201, 50802, 51905, 50802, 53089, 50802, 51821, 50923, 52547, 50923, 55031, 50923, 59680, 52313, 51794, 51021, 51488, 50802, 51394, 50802, 51690, 50802, 53496, 50923, 52736, 50806, 53909, 50806, 55803, 59164, 51638, 50806, 51165, 70287, 50802, 51905, 50802, 54064, 50806, 52072, 50806, 52547, 50806, 55031, 60345, 51887, 50865, 51154, 51138, 51488, 51138, 51394, 50860, 55825, 50924, 51821, 50924, 52736, 50924, 53909, 50936, 50799, 53148, 50921, 51491, 50823, 51488, 50823, 51600, 50823, 51394, 50860, 63827, 50821, 52736, 50821, 52582, 50921, 53608, 50921, 53909, 65061, 51304, 50803, 53372, 54007, 76021, 53909, 52422, 51629, 50811, 54229, 56257, 76021, 53909, 52877, 52316, 51033, 51375, 50823, 51395, 50823, 51629, 50823, 51304, 50802, 57380, 50894, 52398, 50921, 53034, 51045, 54229, 51045, 53372, 62894, 51905, 50803, 55031, 54787, 51304, 50803, 53372, 53153, 51394, 50811, 53909, 57701, 51304, 50803, 53372, 50821, 50799, 77961, 51201, 50860, 51394, 50860, 51905, 50860, 54064, 50821, 52547, 51138, 53909, 51138, 55031, 72933, 77961, 51165, 50802, 51488, 70287, 50802, 54064, 50882, 52072, 50806, 52736, 50806, 52547, 52247, 51638, 50882, 51488, 70287, 50802, 51394, 50802, 54064, 50882, 52736, 50923, 52547, 50923, 53909, 57067, 51638, 50882, 51201, 50802, 51394, 50802, 51905, 50802, 54064, 50894, 52547, 51012, 53909, 51012, 55031, 63982, 51638, 50894, 51201, 50860, 51394, 50860, 51690, 50860, 54064, 50894, 52547, 50860, 53909, 50860, 55803, 56059, 51638, 50894, 51165, 70287, 50802, 51905, 50802, 54064, 50950, 52072, 50923, 52547, 50923, 55031, 56827, 51638, 50950, 51201, 50802, 51394, 50802, 51690, 50802, 54064, 50950, 52547, 51012, 53909, 51012, 55803, 60345, 75200, 53089, 50860, 51201, 50802, 51905, 50802, 54064, 50803, 59680, 50860, 52547, 50802, 55031, 50802, 55556, 50803, 61615, 51732, 78093, 51732, 71078, 51732, 51488, 50859, 76263, 52736, 50859, 52547, 50859, 53151, 52220, 52885, 56868, 53916, 55265, 52032, 61792, 51996, 61993, 54277, 52302, 51727, 50894, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 53970, 51041, 52905, 51132, 50923, 51488, 50859, 76263, 52736, 50859, 52547, 54047, 50898, 52844, 51727, 50883, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 50827, 52093, 55545, 50923, 51488, 50859, 76263, 52736, 50859, 52547, 53238, 68732, 54735, 51068, 52878, 51727, 50883, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 65232, 51041, 54255, 51068, 53035, 51957, 50923, 51488, 50859, 76263, 52736, 50859, 52547, 54047, 75207, 52738, 51132, 50883, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 50827, 52093, 55556, 50803, 51488, 50859, 76263, 52736, 50859, 52547, 53238, 51041, 52981, 51727, 50894, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 53970, 51041, 52905, 51132, 50923, 51488, 50859, 76263, 52736, 50859, 52547, 54047, 50898, 52844, 51727, 50883, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 50827, 52093, 55545, 50923, 51488, 50859, 76263, 52736, 50859, 52547, 53238, 51041, 52878, 51727, 50883, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 50827, 61741, 51957, 50923, 51488, 50859, 76263, 52736, 50859, 52547, 54047, 50898, 52738, 51533, 50949, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 50827, 54277, 50829, 51996, 50829, 52032, 50829, 53916, 50829, 53151, 51539, 50828, 55556, 50803, 70728, 51732, 61592, 51732, 65619, 51732, 53343, 52220, 51041, 55614, 51836, 55265, 52541, 61792, 52695, 61993, 56177, 52302, 51727, 50894, 51093, 50854, 51629, 50854, 51716, 50854, 54229, 53590, 51041, 52905, 51132, 50923, 51093, 50879, 51629, 50879, 51716, 50879, 54229, 50879, 52777, 52844, 51727, 50883, 51488, 50854, 51201, 50854, 52736, 50854, 52547, 50854, 52093, 55545, 50923, 51093, 50879, 51629, 50879, 51716, 50879, 54229, 50879, 63145, 51041, 54735, 51068, 52878, 51727, 50883, 51488, 50854, 51201, 50854, 52736, 50854, 52547, 62450, 51187, 53035, 51957, 50923, 51093, 50879, 51629, 50879, 51716, 50879, 54229, 53543, 75207, 52738, 51132, 50883, 51488, 50854, 51201, 50854, 52736, 50854, 52547, 50854, 52093, 55556, 75889, 50879, 51629, 50879, 51716, 50879, 54229, 50879, 52553, 52981, 51727, 50894, 51488, 50854, 51201, 50854, 52736, 50854, 52547, 53590, 51041, 52905, 51132, 50923, 51093, 50879, 51629, 50879, 51716, 50879, 54229, 50879, 52777, 52844, 51727, 50883, 51488, 50854, 51201, 50854, 52736, 50854, 52547, 50854, 52093, 55545, 50923, 51093, 50879, 51629, 50879, 51716, 50879, 54229, 50879, 51320, 52878, 51727, 50883, 51488, 50854, 51201, 50854, 52736, 50854, 52547, 54806, 51759 ]
[ 0, 250, 15352, 30054, 8, 20425, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 816, 11, 10, 1769, 155, 73, 306, 86, 6543, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 538, 8, 24536, 10, 33215, 13931, 9, 163, 6, 381, 6, 163, 6, 2060, 119, 6, 8, 12608, 119, 4, 2285, 63, 765, 13428, 6, 5, 15229, 10200, 7, 15451, 10, 1472, 9, 11098, 8, 657, 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 ]	[ 51034, 50634, 50438, 51324, 50959, 79623, 50442, 51360, 50959, 51028, 63251, 51197, 50959, 51001, 50959, 51034, 51841, 51148, 51315, 51148, 50916, 51148, 50965, 51148, 50973, 51148, 50968, 65680, 51315, 50959, 51086, 50959, 67946, 78966, 51147, 50959, 51430, 50959, 51034, 51147, 50829, 53667, 51148, 51279, 51148, 50415, 50999, 64301, 51220, 56166, 51028, 51535, 50968, 51535, 50999, 51535, 51399, 51535, 63809, 50959, 67946, 64645, 51399, 50959, 53684, 50905, 51034, 51787, 50829, 56539, 51242, 51503, 51242, 50415, 52128, 64301, 51814, 56166, 51220, 51609, 50339, 55105, 50999, 50959, 51814, 57818, 51147, 50959, 52128, 50959, 51176, 51242, 51086, 51242, 50916, 68766, 51220, 50959, 53117, 58450, 51114, 50959, 51787, 50959, 51324, 51242, 51378, 51242, 50956, 74458, 50999, 50959, 51814, 50959, 51034, 78966, 51430, 50959, 51315, 51242, 51176, 51242, 51086, 51242, 50916, 51242, 50420, 51147, 50959, 52128, 57818, 51086, 51242, 50956, 51242, 50989, 51242, 50973, 51242, 51114, 51242, 51220, 51242, 51405, 51242, 51787, 75120, 79623, 50442, 51028, 63251, 51001, 50959, 51034, 52759, 51148, 51360, 51148, 50916, 51148, 50965, 51148, 51028, 51148, 50968, 65680, 51360, 50959, 51176, 50959, 51040, 50959, 78966, 51147, 50959, 51399, 50959, 51430, 50959, 51034, 50951, 50829, 56539, 51148, 51503, 51148, 50415, 51147, 64301, 51081, 56166, 50973, 51535, 51001, 51535, 51147, 51535, 51220, 51535, 50438, 51176, 50959, 51086, 50959, 66359, 70644, 51220, 50959, 53117, 50959, 51034, 52052, 50829, 69630, 51242, 51966, 51242, 50415, 53117, 64301, 52357, 56166, 51405, 51609, 50343, 55105, 51399, 50959, 53684, 57818, 51220, 50959, 53117, 50959, 51086, 51242, 50956, 51242, 50989, 51242, 50973, 68766, 51405, 50959, 53919, 58450, 51081, 50959, 52052, 50959, 51378, 51242, 51040, 51242, 50916, 74458, 51399, 50959, 53684, 50959, 51034, 53117, 51609, 50291, 51242, 51378, 51242, 50956, 51242, 50416, 53684, 60209, 51220, 51609, 50339, 55105, 51081, 50959, 52052, 57818, 51086, 51242, 50956, 51242, 50989, 51242, 50973, 51242, 51220, 51242, 53117, 75120, 79623, 50442, 51028, 63251, 51001, 50959, 51034, 51841, 51148, 51315, 51148, 50916, 51148, 50965, 51148, 50973, 51148, 50968, 65680, 51315, 50959, 51086, 50959, 67946, 78966, 51147, 50959, 51430, 50959, 51034, 51147, 50829, 53667, 51148, 51279, 51148, 50415, 50999, 64301, 51220, 56166, 51028, 51535, 50968, 51535, 50999, 51535, 51399, 51535, 63809, 50959, 67946, 64645, 51399, 50959, 53684, 50905, 51034, 51787, 50829, 56539, 51242, 51503, 51242, 50415, 52128, 64301, 51814, 56166, 51220, 51609, 50339, 55105, 50999, 50959, 51814, 57818, 51147, 50959, 52128, 50959, 51176, 51242, 51086, 51242, 50916, 68766, 51220, 50959, 53117, 58450, 51114, 50959, 51787, 50959, 51324, 51242, 51378, 51242, 50956, 74458, 50999, 50959, 51814, 50959, 51034, 78966, 51430, 50959, 51315, 51242, 51176, 51242, 51086, 51242, 50916, 51242, 50420, 51147, 50959, 52128, 57818, 51086, 51242, 50956, 51242, 50989, 51242, 50973, 51242, 51114, 51242, 51220, 51242, 51405, 51242, 51787, 75120, 79623, 50442, 51028, 63251, 51001, 50959, 51034, 52759, 51148, 51360, 51148, 50916, 51148, 50965, 51148, 51028, 51148, 50968, 65680, 51360, 50959, 51176, 50959, 51040, 50959, 78966, 51147, 50959, 51399, 50959, 51430, 50959, 51034, 50951, 50829, 56539, 51148, 51503, 51148, 50415, 51147, 64301, 51081, 56166, 50973, 51535, 51001, 51535, 51147, 51535, 51220, 51535, 50438, 51176, 50959, 51086, 50959, 66359, 70644, 51220, 50959, 53117, 50959, 51034, 52052, 50829, 69630, 51242, 51966, 51242, 50415, 53117, 64301, 52357, 56166, 51405, 51609, 50343, 55105, 51399, 50959, 53684, 57818, 51220, 50959, 53117, 50959, 51086, 51242, 50956, 51242, 50989, 51242, 50973, 68766, 51405, 50959, 53919, 58450, 51081, 50959, 52052, 50959, 51378, 51242, 51040, 51242, 50916, 74458, 51399, 50959, 53684, 50959, 51034, 53117, 51609, 50291, 51242, 51378, 51242, 50956, 51242, 50416, 53684, 60209, 51220, 51609, 50339, 55105, 51081, 50959, 52052, 57818, 51086, 51242, 50956, 51242, 50989, 51242, 50973, 51242, 51220, 51242, 53117, 75120, 79623, 50442, 51028, 63251, 51001, 50959, 51034, 54637, 51148, 51324, 51148, 51086, 51148, 50973, 65680, 51324, 50959, 51086, 50959, 79623, 51220, 50959, 51034, 51114, 50829, 55774, 51148, 51214, 51148, 50415, 50951, 64301, 50999, 56166, 50973, 51535, 50951, 51535, 51220, 51535, 62322, 50959, 69505, 62958, 51220, 50959, 53117, 50959, 51034, 51814, 50829, 51799, 51242, 51120, 51242, 50415, 53117, 64301, 52357, 56166, 51146, 51609, 50342, 55105, 51062, 50959, 52357, 57818, 51220, 50959, 53117, 50959, 50899, 51242, 50973, 51242, 50902, 68766, 51146, 50959, 52912, 58450, 50999, 50959, 51814, 50959, 50899, 51242, 79378, 50876, 74458, 51062, 50959, 52357, 50959, 51034, 76598, 51487, 50959, 50899, 51242, 76684, 50973, 51242, 50420, 51220, 50959, 53117, 57818, 50999, 50959, 51146, 50959, 51787, 50959, 51814, 50959, 50899, 51242, 50989, 51242, 50877, 75120, 51279, 50959, 64645, 50442, 51324, 50959, 50973, 63251, 51360, 50959, 51028, 50959, 51034, 51799, 51148, 51120, 51148, 50899, 51148, 50902, 65680, 51120, 50959, 69505, 50902, 51644, 50330, 50905, 51034, 51081, 50829, 54637, 51148, 51324, 51148, 50415, 51220, 64301, 51399, 56166, 51001, 51535, 51114, 51535, 51220, 51535, 51405, 51535, 50438, 51086, 50959, 79623, 51405, 51644, 50343, 50905, 51034, 53117, 50829, 56539, 51242, 51503, 51242, 50415, 53684, 64301, 53919, 56166, 51430, 50822, 55226, 53728, 51220, 51644, 50339, 54335, 50999, 51644, 50337, 51644, 50300, 51242, 51086, 51242, 50916, 68766, 51147, 51644, 50336, 54137, 51114, 51644, 50334, 51644, 50289, 51242, 51378, 51242, 51040, 74458, 51028, 51644, 50329, 50905, 51034, 50968, 51644, 50332, 51644, 50291, 51242, 51378, 51242, 51027, 51242, 50956, 51242, 50420, 51001, 51644, 50331, 54335, 51315, 51242, 51176, 51242, 51086, 51242, 50916, 51242, 50968, 51911, 50324, 51911, 50327, 51911, 50332, 56656, 51966, 50959, 50989, 50959, 50442, 51503, 50959, 50965, 63251, 51234, 50959, 71650, 51034, 54637, 51148, 51324, 51148, 51086, 51148, 50973, 65680, 51324, 50959, 51086, 50959, 79623, 51220, 50959, 51034, 51114, 50829, 55774, 51148, 51214, 51148, 50415, 50951, 64301, 50999, 56166, 50973, 51535, 50951, 51535, 51220, 51535, 62322, 50959, 69505, 62958, 51220, 50959, 53117, 50959, 51034, 51814, 50829, 51799, 51242, 51120, 51242, 50415, 53117, 64301, 52357, 56166, 51146, 51609, 50342, 55105, 51062, 50959, 52357, 57818, 51220, 50959, 53117, 50959, 50899, 51242, 50973, 51242, 50902, 68766, 51146, 50959, 52912, 58450, 50999, 50959, 51814, 50959, 50899, 51242, 79378, 50876, 74458, 51062, 50959, 52357, 50959, 51034, 76598, 51487, 50959, 50899, 51242, 76684, 50973, 51242, 50420, 51220, 50959, 53117, 57818, 50999, 50959, 51146, 50959, 51787, 50959, 51814, 50959, 50899, 51242, 50989, 51242, 50877, 75120, 51279, 50959, 64645, 50442, 51324, 50959, 50973, 63251, 51360, 50959, 51028, 50959, 51034, 51799, 51148, 51120, 51148, 50899, 51148, 50902, 65680, 51120, 50959, 69505, 74952, 51146, 50959, 51034, 51081, 50829, 54637, 51148, 51324, 51148, 50415, 51220, 64301, 51399, 56166, 51001, 51535, 51114, 51535, 51220, 51535, 51405, 51535, 50438, 51086, 50959, 51405, 50959, 53919, 50959, 50973, 50905, 51034, 53117, 50829 ]
[ 0, 250, 765, 37903, 9, 5175, 15855, 930, 11, 2060, 538, 6, 4246, 41, 20425, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 15352, 30054, 648, 2933, 5466, 20455, 9, 822, 8, 814, 5422, 6, 19, 10, 33215, 16739, 9, 12608, 6, 230, 10431, 6, 8, 163, 43531, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50931, 56624, 50997, 53066, 50997, 54347, 51028, 52654, 50997, 55730, 50931, 52658, 50997, 54112, 51028, 52729, 50876, 56532, 51176, 53103, 50965, 54803, 50876, 52843, 51176, 56366, 51001, 52863, 50965, 54678, 60256, 58540, 56624, 50997, 53066, 50997, 54347, 50906, 52654, 50997, 55730, 51028, 52658, 50997, 54112, 50965, 52729, 51001, 56532, 51176, 53103, 50965, 54803, 51001, 52843, 51176, 56366, 50876, 52863, 50965, 54678, 70806, 62856, 56624, 51378, 53066, 51378, 54347, 51028, 52654, 51378, 55730, 51147, 52658, 51378, 54112, 51028, 52729, 51114, 56532, 51378, 53103, 51028, 54803, 51114, 52843, 51378, 56366, 50931, 52863, 51028, 54678, 59289, 57923, 56624, 51197, 53066, 51197, 54347, 50906, 52654, 51197, 55730, 51001, 52658, 51197, 54112, 50906, 52729, 50931, 56532, 51360, 53103, 50965, 54803, 50931, 52843, 51360, 56366, 51028, 52863, 50965, 54678, 65473, 56229, 56624, 50997, 53066, 50997, 54347, 51028, 52654, 50997, 55730, 51147, 52658, 50997, 54112, 51028, 52729, 50876, 56532, 51176, 53103, 50965, 54803, 50876, 52843, 51176, 56366, 51001, 52863, 50965, 54678, 60256, 58540, 56624, 50997, 53066, 50997, 54347, 50906, 52654, 50997, 55730, 50931, 52658, 50997, 54112, 50965, 52729, 51001, 56532, 51176, 53103, 50965, 54803, 51001, 52843, 51176, 56366, 50876, 52863, 50965, 54678, 70806, 62856, 56624, 51378, 53066, 51378, 54347, 51028, 52654, 51378, 55730, 51147, 52658, 51378, 54112, 51028, 52729, 51114, 56532, 51378, 53103, 51028, 54803, 51114, 52843, 51378, 56366, 50931, 52863, 51028, 54678, 59289, 57923, 56624, 51197, 53066, 51197, 54347, 50906, 52654, 51197, 55730, 51001, 52658, 51197, 54112, 50906, 52729, 50931, 56532, 51360, 53103, 50965, 54803, 50931, 52843, 51360, 56366, 51114, 52863, 50965, 54678, 65473, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15855, 15229, 19, 10, 25306, 27456, 6, 42, 765, 2125, 7630, 6568, 10, 1186, 9, 8597, 6, 31, 5, 9066, 7, 5, 5386, 6, 19, 41, 223, 28311, 9, 15073, 4, 20, 769, 196, 6757, 6, 2352, 6757, 6, 8, 13305, 45552, 833, 7, 1045, 10, 4066, 5797, 990, 1506, 9, 2369, 6, 278, 11, 5, 762, 9, 211, 538, 8, 1375, 23, 10, 7212, 2877, 11, 204, 73, 306, 86, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 75059, 54628, 50933, 55010, 71584, 55114, 51309, 66930, 55844, 55172, 52140, 54602, 51309, 56487, 55844, 55546, 52140, 56020, 61091, 51679, 56266, 51679, 55849, 51679, 57255, 51679, 50437, 55687, 51233, 56968, 51233, 50438, 55074, 51423, 54391, 51423, 50446, 56007, 51419, 56266, 51333, 55114, 50932, 54304, 51419, 57255, 51333, 54602, 50932, 50459, 54628, 51004, 55074, 50959, 55010, 51004, 54391, 50959, 50799, 56266, 52059, 55114, 51233, 57255, 52059, 54602, 51233, 50422, 55074, 51534, 54391, 51534, 50423, 50671, 50292, 52378, 58164, 51328, 54628, 51412, 58496, 52378, 54977, 51328, 55010, 51412, 50431, 56266, 51637, 55114, 51637, 57255, 51637, 54602, 51637, 50432, 70283, 55086, 55172, 51244, 65048, 55086, 55546, 51244, 50449, 54628, 51535, 59502, 52263, 55010, 51535, 57719, 52263, 50458, 58164, 51097, 54977, 51097, 56020, 70367, 55490, 66205, 55490, 50423, 66930, 54171, 55114, 51592, 55172, 51592, 56487, 54171, 54602, 51592, 55546, 51592, 59412, 61091, 51318, 56266, 51477, 55849, 51318, 57255, 51477, 50426, 66930, 53380, 55172, 53363, 55114, 51091, 56487, 53380, 55546, 53363, 54602, 51091, 50443, 63213, 51738, 56007, 51380, 55114, 51244, 58827, 51738, 54304, 51380, 54602, 51244, 50456, 55074, 50864, 54391, 64459, 55687, 50867, 56968, 65315, 56266, 51703, 56007, 51080, 57255, 51703, 54304, 51080, 50796, 50436, 55074, 51576, 54391, 51576, 50437, 50671, 50292, 51645, 54628, 51079, 58164, 50838, 58496, 51645, 55010, 51079, 54977, 52718, 55172, 51481, 55546, 51481, 50445, 70283, 54573, 55172, 51397, 55114, 51477, 56266, 51679, 65048, 54573, 55546, 51397, 54602, 51477, 57255, 51679, 50799, 54628, 51283, 59502, 52136, 55010, 51283, 57719, 52136, 50422, 58164, 51328, 54977, 51328, 50431, 70367, 54557, 66930, 51878, 55172, 51749, 55114, 51314, 66205, 54557, 56487, 51878, 55546, 51749, 54602, 51314, 50457, 56266, 52059, 57255, 52059, 50458, 50671, 50291, 51309, 56007, 51412, 70367, 51177, 55114, 52222, 50670, 50291, 51309, 54304, 51412, 66205, 51177, 54602, 52222, 52478, 58164, 51244, 50671, 50292, 51145, 55074, 51183, 55687, 51148, 54977, 51244, 58496, 51145, 54391, 51183, 56968, 51148, 50442, 55687, 51534, 56968, 51534, 50443, 50671, 50292, 51642, 58164, 50972, 55074, 51452, 58496, 51642, 54977, 50972, 54391, 51452, 50450, 70283, 53801, 63213, 52407, 65048, 53801, 58827, 52407, 50451, 55172, 51448, 54628, 51047, 56007, 51047, 55546, 51448, 55010, 51047, 54304, 51047, 69341, 55074, 50974, 70283, 51576, 54628, 51481, 55172, 53233, 56007, 51043, 63213, 51481, 54391, 50974, 65048, 51576, 55010, 51481, 55546, 53233, 54304, 51043, 58827, 51481, 50435, 66930, 51445, 56007, 51922, 56487, 51445, 54304, 51922, 50436, 56266, 51293, 61091, 51445, 55114, 51264, 57255, 51293, 55849, 51445, 54602, 51264, 50796, 50442, 55172, 50873, 66930, 50866, 56266, 51365, 55114, 50959, 56007, 51008, 61091, 51008, 55546, 50873, 56487, 50866, 57255, 51365, 54602, 50959, 54304, 51008, 55849, 51008, 50448, 61091, 51277, 55849, 51277, 50449, 56266, 51753, 55114, 51542, 66930, 52122, 55172, 51391, 56007, 51391, 60252, 51297, 57255, 51753, 54602, 51542, 56487, 52122, 55546, 51391, 54304, 51391, 56967, 60550, 63213, 51524, 58827, 51524, 51809, 55074, 50959, 55687, 50978, 55172, 50995, 54391, 50959, 56968, 50978, 55546, 50995, 50422, 56007, 50974, 54304, 69596, 56266, 50977, 57255, 50977, 50430, 55172, 50981, 56007, 51109, 55546, 50981, 54304, 51109, 50431, 56266, 51043, 57255, 51043, 50442, 54628, 50971, 55074, 50886, 55010, 50971, 54391, 63693, 56266, 51079, 55172, 50995, 55114, 50937, 57255, 51079, 55546, 50995, 54602, 50937, 50452, 56266, 51254, 61091, 51008, 57255, 51254, 55849, 71434, 61091, 51043, 56266, 51221, 55172, 50915, 55849, 51043, 57255, 51221, 55546, 50915, 53069, 63213, 51074, 56007, 51242, 58827, 51074, 54304, 65785, 55172, 51097, 55546, 51097, 50427, 55687, 51212, 55074, 51212, 56968, 51212, 54391, 51212, 50434, 56266, 51254, 56007, 50974, 57255, 51254, 54304, 50974, 50442, 56007, 51003, 56266, 51109, 55172, 50943, 54304, 51003, 57255, 51109, 55546, 79075, 54628, 50941, 55010, 72587, 55074, 51008, 54391, 65628, 56266, 51254, 55172, 51775, 57255, 51254, 55546, 51775, 50457, 55114, 50878, 54602, 50878, 51601, 56266, 50878, 55114, 50874, 57255, 50878, 54602, 65370, 56266, 50959, 55172, 51452, 55114, 50874, 57255, 50959, 55546, 51452, 54602, 58519, 56266, 50851, 57255, 64756, 55114, 50907, 54602, 73425, 55114, 50822, 56266, 50810, 54602, 50822, 57255, 53103, 56266, 50878, 55114, 51008, 57255, 50878, 54602, 76173, 55074, 50827, 54628, 51051, 54391, 50827, 55010, 60333, 56266, 52598, 56007, 51448, 57255, 52598, 54304, 51448, 50457, 55172, 50810, 66930, 50844, 55546, 50810, 56487, 50844, 51809, 55172, 50874, 55546, 62227, 66930, 50874, 56487, 56174, 55074, 51051, 54391, 51051, 50424, 66930, 51121, 55172, 51677, 56487, 51121, 55546, 73660, 56266, 51862, 57255, 51862, 50430, 59502, 51210, 70283, 52168, 54628, 51008, 57719, 51210, 65048, 52168, 55010, 59983, 59502, 50867, 54628, 50810, 57719, 50867, 55010, 60073, 59502, 50867, 54628, 50857, 57719, 50867, 55010, 67235, 59502, 50822, 57719, 76960, 54628, 50959, 55010, 50959, 50455, 56266, 51524, 57255, 51524, 50457, 55114, 51832, 54602, 51832, 50458, 55074, 51749, 54628, 51535, 54391, 51749, 55010, 51535, 52177, 55172, 50827, 70283, 50886, 55546, 50827, 65048, 62520, 55172, 50827, 70283, 50867, 55546, 50827, 65048, 62627, 55172, 51328, 70283, 50854, 56266, 51365, 55546, 51328, 65048, 50854, 57255, 51365, 50434, 54628, 50864, 55010, 59380, 70367, 54848, 66930, 51243, 55114, 51677, 66205, 54848, 56487, 51243, 54602, 51677, 50445, 56266, 51333, 56007, 51381, 61091, 50995, 55172, 51637, 57255, 51333, 54304, 51381, 55849, 50995, 55546, 51637, 50458, 55687, 51423, 56968, 51423, 50459, 55074, 50987, 54391, 50987, 52478, 56266, 52188, 55172, 51283, 56007, 51253, 57255, 52188, 55546, 51283, 54304, 51253, 50429, 55074, 50827, 54628, 50864, 54391, 50827, 55010, 53998, 56266, 51254, 55114, 50892, 57255, 51254, 54602, 69641, 55074, 51412, 50671, 50292, 52188, 58164, 51006, 54628, 51363, 54391, 51412, 58496, 52188, 54977, 51006, 55010, 51363, 50447, 70283, 53486, 55172, 51627, 55114, 51679, 56266, 51961, 65048, 53486, 55546, 51627, 54602, 51679, 57255, 51961, 50799, 59502, 52256, 54628, 51477, 57719, 52256, 55010, 51477, 50421, 58164, 51423, 54977, 51423, 50430, 70367, 52980, 55114, 51244, 66930, 52015, 66205, 52980, 54602, 51244, 56487, 52015, 50431, 55172, 51790, 55546, 51790, 52478, 64433, 52441, 63949, 51244, 77434, 51679, 59296, 52441, 61854, 51244, 76048, 51679, 50419, 61091, 52783, 66930, 51313, 55172, 51134, 55114, 50914, 55849, 52783, 56487, 51313, 55546, 51134, 54602, 50914, 50434, 55172, 52015, 55114, 51675, 50671, 50334, 52996, 55546, 52015, 54602, 51675, 50670, 50334, 52996, 50446, 69806, 50870, 73537, 50886, 59058, 50870, 74558, 64891, 61091, 53280, 64433, 51183, 63949, 51562, 55849, 53280, 59296, 51183, 61854, 51562, 60212, 69806, 51775, 50671, 50292, 52188, 59058, 51775, 58496, 52188, 50425, 58164, 50972, 56007, 51058, 55687, 50827, 57010, 51058, 54977, 50972, 54304, 51058, 56968, 50827, 55585, 51058, 50433, 64433, 51381, 70283, 53486 ]
[ 0, 250, 20902, 3495, 1619, 2214, 4246, 3459, 13305, 6, 21979, 13305, 6, 15054, 17838, 6, 21979, 9590, 6, 8, 17691, 28430, 4, 590, 10, 182, 1769, 20889, 8, 278, 11, 5, 762, 9, 211, 3694, 6, 42, 765, 2125, 7630, 6568, 6453, 9, 11098, 8, 26545, 149, 63, 15352, 30054, 2301, 4, 20, 1049, 33215, 16739, 10726, 9, 274, 6, 83, 406, 6, 211, 119, 6, 8, 272, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50649, 57128, 52601, 50865, 51261, 51300, 51959, 50820, 52003, 52188, 55333, 52097, 55333, 51243, 53362, 51313, 55094, 56007, 50860, 51410, 51486, 51303, 51486, 51414, 51103, 50415, 52092, 50813, 52569, 51058, 59800, 72922, 51959, 64305, 52158, 53203, 53151, 51358, 51959, 51454, 52569, 50981, 60108, 51407, 50421, 60187, 55229, 52003, 51199, 50856, 52209, 52157, 56612, 74207, 51354, 51890, 51680, 50438, 51793, 50824, 53362, 51054, 52003, 51080, 51771, 51148, 52158, 51047, 55094, 51414, 51124, 51457, 79954, 52092, 51115, 50447, 51414, 51191, 51457, 51191, 51825, 70269, 51261, 50823, 55333, 51014, 50903, 51663, 57109, 51150, 50803, 53897, 67516, 51868, 50823, 56614, 51014, 50799, 52601, 50967, 51389, 51059, 52114, 52482, 53795, 51573, 53795, 51080, 51959, 51742, 52775, 52528, 51816, 52140, 55094, 56007, 50975, 51719, 51124, 51249, 51124, 51457, 51124, 50415, 59800, 56828, 51836, 51358, 55074, 51407, 51719, 51894, 51249, 51894, 51327, 51894, 50424, 59449, 55229, 52114, 50991, 50856, 52209, 51389, 50802, 53795, 50923, 50434, 53359, 53913, 51216, 51029, 56887, 51552, 50439, 53795, 51103, 50442, 53359, 50915, 50446, 52114, 51377, 50450, 51816, 50917, 52092, 50873, 52775, 51172, 50903, 51663, 57109, 51959, 58298, 51522, 50802, 67497, 50923, 50458, 52092, 50942, 53458, 51029, 51771, 51177, 53168, 52059, 51890, 52059, 52158, 51043, 56734, 51552, 55094, 51231, 51307, 51414, 51307, 51457, 51307, 50421, 56734, 51623, 50425, 53916, 50818, 62545, 52630, 52601, 50865, 53168, 51124, 61626, 54973, 50818, 56007, 66057, 59800, 64362, 52003, 59517, 53883, 50983, 51098, 50802, 56734, 50923, 61091, 51029, 50433, 59613, 65625, 51890, 58020, 51389, 51300, 53168, 51412, 51771, 50943, 52003, 51448, 53795, 52097, 55094, 50446, 52158, 54058, 52601, 51048, 53168, 51101, 51771, 51177, 50903, 51663, 50818, 56007, 51072, 50451, 59800, 67239, 52158, 50813, 50799, 51836, 50983, 51150, 50993, 53897, 51460, 52951, 51645, 51959, 50995, 53897, 52441, 51771, 51283, 52647, 55002, 55094, 55074, 73072, 59449, 54892, 51687, 73439, 51150, 50993, 52092, 50849, 53897, 51460, 52951, 51221, 63338, 51231, 56217, 51414, 51591, 51327, 68233, 53897, 58020, 52032, 51048, 51930, 50993, 52647, 51100, 52775, 51060, 52158, 51101, 53643, 52482, 55407, 51460, 55407, 50807, 55978, 51072, 51687, 51103, 51719, 51103, 50439, 61891, 74510, 53409, 51836, 51048, 51522, 50993, 52114, 50987, 52647, 50977, 52775, 50893, 52609, 50974, 55953, 54848, 67497, 51460, 50903, 51695, 52990, 50818, 55074, 51072, 50451, 59449, 64963, 52114, 50904, 52647, 50833, 52775, 61145, 52114, 55002, 50799, 52601, 51048, 51261, 51059, 53168, 52460, 51890, 51738, 55333, 51573, 55333, 51381, 52003, 53280, 61891, 59275, 50817, 56007, 51072, 51410, 51189, 51414, 67697, 59800, 70394, 51771, 56800, 53151, 51048, 63338, 60108, 51072, 51303, 50914, 51414, 78958, 51890, 51008, 53168, 51006, 60187, 64362, 51771, 53627, 51261, 50803, 55333, 50894, 61891, 63633, 53643, 51542, 52126, 51965, 51816, 51562, 50435, 52571, 52841, 56065, 50967, 51216, 51059, 56887, 51573, 55845, 59275, 50817, 57010, 50975, 52102, 51103, 51249, 51103, 50439, 56887, 51419, 60072, 54586, 51231, 51189, 50447, 53883, 50991, 61091, 50993, 50448, 59613, 55245, 53359, 51215, 50903, 51663, 57109, 53643, 58603, 51216, 50802, 56887, 50923, 55845, 67076, 51771, 50866, 50799, 53343, 50967, 51150, 51009, 53897, 51330, 52951, 51419, 52114, 51391, 52647, 51241, 53897, 51527, 59449, 59275, 50817, 60252, 50975, 51687, 51189, 51231, 51189, 50415, 59470, 70394, 51771, 51177, 50423, 53883, 51091, 61091, 51059, 52303, 51124, 50424, 59613, 55229, 53168, 72875, 52209, 51476, 50849, 51687, 50849, 51231, 59628, 53897, 60663, 51327, 60831, 52951, 50857, 52609, 53813, 52601, 51048, 51140, 51300, 52126, 51008, 52092, 50925, 55516, 52097, 56737, 59275, 50817, 56007, 51072, 53075, 51103, 51249, 73700, 51816, 50827, 59800, 67562, 55516, 60866, 51836, 51048, 51771, 50917, 53359, 50838, 52647, 51079, 51959, 61073, 51663, 50818, 55074, 51072, 51303, 50914, 51457, 70390, 59449, 64963, 53362, 74651, 55333, 54532, 50799, 53151, 51161, 51261, 51029, 52003, 50908, 52092, 50915, 52569, 51097, 51816, 51241, 51959, 51679, 55333, 51552, 51890, 52062, 61891, 59275, 51759, 52990, 50818, 60108, 51352, 51249, 51413, 51457, 51413, 51825, 51413, 50415, 60187, 55229, 52003, 51173, 50856, 57318, 52092, 54053, 51793, 50802, 53362, 50923, 60187, 61689, 53464, 56579, 51303, 62657, 51959, 52444, 51668, 51029, 64904, 51351, 64904, 51552, 52609, 53577, 52427, 51477, 64869, 59275, 51663, 50818, 51651, 51413, 51672, 51413, 51825, 51413, 51180, 63228, 52092, 70147, 55953, 51124, 50903, 51695, 52990, 52349, 53262, 50802, 64904, 50813, 58195, 50923, 62708, 59275, 53736, 50856, 56904, 52951, 51480, 53897, 51391, 50799, 53883, 51060, 51150, 50824, 52627, 51242, 53897, 51054, 52158, 51283, 51771, 51878, 59449, 59275, 54831, 51663, 50818, 61091, 50976, 51414, 51189, 51980, 51189, 51981, 51189, 50415, 59613, 54892, 51553, 70394, 53883, 51060, 52569, 50838, 61091, 71659, 59613, 55229, 52078, 50802, 52951, 50858, 53168, 50923, 59613, 60290, 54013, 53234, 50374, 53823, 64362, 53883, 50800, 61091, 57925, 59613, 54151, 53262, 50802, 58195, 50923, 62708, 50928, 51231, 68233, 52092, 57181, 53883, 50800, 61091, 52674, 59613, 54968, 53916, 51291, 51793, 50802, 53362, 50923, 53464, 51397, 60187, 59275, 57167, 54973, 50818, 62545, 51300, 51249, 51191, 52109, 51191, 50439, 55516, 51351, 61626, 54586, 51140, 51029, 55516, 51552, 56737, 64807, 52775, 51484, 51816, 51484, 52647, 51199, 51955, 51759, 52990, 50818, 51303, 51486, 50451, 53359, 55670, 51249, 50849, 52109, 67164, 53362, 51203, 51621, 52990, 57319, 51836, 50811, 55074, 56628, 53916, 50811, 59449, 50949, 62545, 50811, 54204, 51059, 57324, 53753, 52003, 51142, 51890, 51008, 55333, 51824, 51816, 50866, 51959, 50866, 52092, 50917, 55333, 51573, 61626, 50949, 61891, 50928, 59800, 54902, 51695, 50884, 51414, 51103, 50415, 52601, 50860, 56007, 50860, 50416, 59800, 54892, 71800, 51742, 50423, 53151, 51407, 60108, 51407, 50424, 60187, 55229, 55333, 52731, 52003, 51254, 51890, 51174, 53362, 50845, 51816, 50905, 51959, 50838, 52092, 57594, 52209, 51261, 50802, 55333, 50923, 61891, 61689, 55333, 51148, 50437, 51984, 50811, 56805, 50962, 59623, 54114, 51793, 50993, 51959, 50827, 51816, 51051, 52092, 50878, 52569, 50933, 52003, 52482, 53362, 51460, 60187, 59275, 50817, 51303, 50914, 51414, 51591, 51457, 51103, 50446, 51959, 51194, 52092, 51233, 51816, 51534, 50447, 51890, 52482, 50450, 51261, 50802, 50726, 50297, 50981, 55333, 50923, 61891, 50928, 56737, 63972, 51663, 56086, 52003, 66704, 51150, 50803, 53897, 50894, 59449, 50928, 51825, 62355, 51868, 50803, 51816, 50864, 56614, 50894, 61626, 50928, 51303, 63357, 51771, 50864, 50799, 52601, 50975, 51389, 51009, 50726, 50298, 51677, 53795, 51527, 59800, 50928, 65255, 54902, 50817, 56007, 50975, 51719, 51103, 50415, 53795, 50805, 52775, 51060, 59800, 70394, 51771, 50937, 56805, 63867, 51836, 51009, 55074, 51009, 50424, 59449, 55229, 57324, 51363, 53362, 50925, 59800, 54493, 50818, 51249, 51486, 51327, 51486, 50427, 52609, 72300, 51816, 51127, 52775, 51145, 50435, 57496, 51742, 59449, 52896, 65206, 56887, 51054, 55845, 59275, 50817, 51719 ]
[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 25306, 5466, 6, 3820, 19, 9066, 8, 28339, 223, 34693, 4, 20, 6755, 12547, 6, 20535, 2810, 6, 8, 30062, 620, 7085, 12280, 642, 35810, 561, 10, 5797, 990, 1506, 9, 2369, 6, 2351, 10, 1472, 9, 2821, 16235, 8, 10603, 4, 8504, 11, 5, 762, 9, 274, 3694, 8, 3185, 30, 41, 12447, 1001, 20889, 6, 42, 2125, 22848, 10, 5544, 33215, 16739, 6, 1271, 5581, 7, 63, 5386, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 54124, 50883, 52198, 50883, 56483, 50883, 51755, 59872, 55404, 54444, 60647, 50801, 59872, 55404, 54444, 50936, 53924, 50883, 52594, 60281, 50804, 50883, 51658, 59872, 55404, 54444, 59357, 50801, 59872, 55404, 54444, 50936, 51755, 59872, 50936, 54074, 50936, 63311, 50883, 54519, 63267, 50804, 53336, 50804, 50883, 53951, 50883, 53327, 50883, 57363, 50883, 51302, 50883, 59493, 50883, 54321, 60759, 50804, 52975, 50804, 50883, 53924, 50883, 52594, 60281, 50804, 50883, 51658, 59872, 55404, 54444, 59357, 50801, 59872, 55404, 54444, 50936, 55669, 50936, 51641, 51045, 51579, 51045, 52336, 51045, 52339, 51014, 51968, 51014, 51866, 51014, 52178, 51014, 55145, 50921, 52695, 51045, 51946, 51045, 52032, 51045, 53951, 50846, 51641, 50828, 51579, 50828, 52336, 50828, 52339, 50828, 51968, 50828, 51866, 50828, 52178, 50828, 55145, 50828, 52695, 50828, 51946, 50828, 52032, 50828, 57453, 50846, 51641, 50828, 51579, 50828, 52336, 50828, 52339, 50828, 51968, 50828, 51866, 50828, 52178, 50828, 55145, 50828, 52695, 50828, 51946, 50828, 52032, 50828, 51302, 50936, 51641, 51226, 51579, 51226, 52336, 51226, 52339, 51226, 51968, 51226, 51866, 51226, 52178, 51226, 55145, 51226, 52695, 51226, 51946, 51226, 52032, 51226, 55258, 50812, 51744, 50821, 52264, 50821, 53147, 50821, 53175, 50821, 52384, 50821, 52377, 50821, 53084, 50821, 57538, 50821, 53064, 50821, 52541, 50821, 53339, 50821, 53526, 50808, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 51382, 50808, 51744, 50821, 52264, 50821, 53147, 50821, 53175, 50821, 52384, 50821, 52377, 50821, 53084, 50821, 57538, 50821, 53064, 50821, 52541, 50821, 53339, 50821, 55350, 50808, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 54124, 50812, 51744, 50821, 52264, 50821, 53147, 50821, 53175, 50821, 52384, 50821, 52377, 50821, 53084, 50821, 57538, 50821, 53064, 50821, 52541, 50821, 53339, 50821, 55669, 50936, 51641, 51045, 51579, 51045, 52336, 51045, 52339, 50921, 51968, 50921, 51866, 50921, 52178, 50921, 55145, 50921, 52695, 51045, 51946, 51045, 52032, 51045, 53951, 50846, 51641, 50828, 51579, 50828, 52336, 50828, 52339, 50828, 51968, 50828, 51866, 50828, 52178, 50828, 55145, 50841, 52695, 50828, 51946, 50828, 52032, 50828, 57453, 50846, 51641, 50828, 51579, 50828, 52336, 50828, 52339, 50828, 51968, 50828, 51866, 50828, 52178, 50828, 55145, 50841, 52695, 50828, 51946, 50828, 52032, 50828, 51302, 50812, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 57096, 50833, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 53924, 50812, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 52877, 50804, 50812, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 55258, 50833, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 53526, 50812, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 51382, 50812, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 55350, 50812, 51641, 50821, 51579, 50821, 53266, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 54017, 50821, 52695, 50821, 51946, 50821, 54124, 50812, 51641, 50821, 52264, 50821, 51702, 50821, 52377, 50821, 54885, 50821, 52695, 50821, 52541, 50821, 55669, 50948, 51641, 51014, 51579, 51014, 52336, 51014, 52339, 50921, 51968, 50921, 51866, 50921, 52178, 50921, 55145, 50921, 52695, 51014, 51946, 51014, 52032, 51014, 53951, 50828, 51641, 50828, 51579, 50828, 52336, 50828, 52339, 50828, 51968, 50828, 51866, 50828, 52178, 50828, 55145, 50828, 52695, 50828, 51946, 50828, 52032, 50828, 57453, 50828, 51641, 50828, 51579, 50828, 52336, 50828, 52339, 50828, 51968, 50828, 51866, 50828, 52178, 50828, 55145, 50828, 52695, 50828, 51946, 50828, 52032, 52905, 50801, 59872, 55404, 50883, 51641, 51226, 51579, 51226, 52336, 51226, 52339, 51226, 51968, 51226, 51866, 51226, 52178, 51226, 55145, 51226, 52695, 51226, 51946, 51226, 52032, 51226, 59493, 50883, 54321, 60759, 50804, 52975, 50804, 50883, 53924, 50883, 52594, 60281, 50804, 50883, 51658, 59872, 55404, 50936, 51206, 58111, 50631, 52481, 50821, 51426, 50821, 51395, 64380, 50630, 50454, 51699, 74567, 50821, 51182, 61981, 77961, 72159, 51394, 50821, 56236, 51299, 51585, 51093, 51585, 51304, 51585, 51302, 50936, 51431, 51014, 51509, 51014, 52264, 51014, 53456, 50936, 51947, 50936, 51702, 50936, 52377, 50936, 53994, 50921, 52338, 51014, 51996, 51014, 52541, 51014, 53924, 50828, 51431, 50828, 51509, 50828, 52264, 50828, 53456, 50828, 51947, 50828, 51702, 50828, 52377, 50828, 53994, 50828, 52338, 50828, 51996, 50828, 52541, 50828, 55935, 50828, 51431, 50828, 51509, 50828, 52264, 50828, 53456, 50846, 51947, 50846, 51702, 50846, 52377, 50846, 53994, 50828, 52338, 50828, 51996, 50828, 52541, 53219, 50804, 50883, 51431, 50896, 51509, 50896, 52264, 50896, 53456, 50896, 51947, 50896, 51702, 50896, 52377, 50896, 53994, 50914, 52338, 50896, 51996, 50896, 52541, 50896, 60409, 50895, 53012, 50895, 62177, 53806, 63536, 53526, 50818, 52612, 50846, 57048, 50846, 51382, 50812, 51887, 50821, 51154, 50821, 51201, 74362, 52316, 50821, 51375, 50821, 51629, 61981, 51299, 68896, 50821, 51304, 50821, 50799, 51426, 51585, 51395, 51585, 51811, 51585, 51302, 50936, 51431, 51045, 51641, 51045, 52264, 51045, 53542, 50936, 51947, 50936, 51968, 50936, 52377, 50936, 54017, 50917, 52338, 51045, 52695, 51045, 52541, 51045, 53924, 50828, 51431, 50841, 51641, 50841, 52264, 50841, 53542, 50828, 51947, 50828, 51968, 50828, 52377, 50828, 54017, 50828, 52338, 50841, 52695, 50841, 52541, 50841, 55935, 50828, 51431, 50841, 51641, 50841, 52264, 50841, 53542, 50828, 51947, 50828, 51968, 50828, 52377, 50828, 54017, 50828, 52338, 50841, 52695, 50841, 52541, 53116, 50804, 50883, 51723, 50896, 51485, 50896, 52264, 50896, 52339, 50896, 52058, 50896, 52377, 50896, 54017, 50914, 54277, 50896, 52665, 50896, 51996, 50896, 52541, 50896, 60409, 50895, 53012, 50884, 62177, 52210, 63536, 53526, 50846, 52612, 50828, 57048, 53035, 50629, 50804, 50812, 51887, 50821, 51154, 50821, 51201, 64380, 50628, 50452, 50628, 50453, 50628, 50454, 50627, 52316, 50821, 51375, 50821, 51629, 52935, 50627, 50457, 50627, 50458, 52065, 50821, 51357, 50821, 51558, 50821, 56236, 51426, 51469, 51395, 51469, 51811, 51469, 50416, 50627, 50426, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 54017, 50812, 52695, 50821, 51946, 50821, 52032, 67757, 51723, 50821, 51641 ]
[ 0, 250, 15352, 30054, 8, 14899, 5175, 3495, 2214, 4246, 3459, 13305, 6, 13305, 6, 21072, 6, 21979, 8669, 6, 8, 36075, 8669, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 20425, 12447, 1001, 20889, 1328, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 3676, 401, 6, 274, 10431, 119, 6, 8, 3676, 3639, 7, 63, 33200, 2365, 3618, 930, 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 ]	[ 58402, 50447, 51326, 53688, 51326, 54166, 51289, 50375, 53183, 50809, 50799, 53643, 52208, 51771, 52208, 52158, 52208, 63240, 52500, 53599, 51036, 51794, 51036, 51165, 51655, 77991, 51036, 55080, 51036, 53361, 51655, 51040, 51696, 50861, 51696, 50906, 51696, 51925, 50372, 53290, 58059, 53597, 50586, 53376, 50588, 50808, 51317, 52208, 50929, 52208, 51064, 52208, 50420, 52834, 59677, 53899, 52834, 71517, 52872, 51925, 77024, 58255, 51845, 50367, 53290, 59716, 51845, 52742, 51925, 50372, 53290, 57917, 53867, 53027, 51845, 60571, 53867, 59667, 53166, 51925, 58207, 53867, 53556, 52834, 59677, 50369, 52438, 61736, 51845, 50891, 50799, 52114, 52208, 51771, 52208, 52158, 52208, 56324, 52392, 52143, 51036, 51299, 51036, 51088, 51655, 67375, 51036, 53460, 51036, 52507, 51655, 50900, 51696, 50861, 51696, 50906, 51696, 51925, 50372, 53290, 59874, 71611, 53597, 50588, 50812, 50986, 52208, 50929, 52208, 51064, 52208, 50420, 52834, 59677, 55375, 52834, 59430, 52872, 51925, 66624, 55487, 51845, 78090, 57869, 51845, 53018, 51925, 50370, 53290, 63780, 53867, 52875, 51845, 54492, 53867, 57975, 69185, 53886, 51925, 67926, 58759, 53867, 53556, 51845, 74556, 73511, 74884, 52834, 54603, 51845, 50372, 51985, 50886, 50799, 58195, 52208, 53643, 52208, 52647, 52208, 52609, 52208, 60712, 53241, 55472, 51036, 51794, 51036, 51375, 51655, 50740, 50286, 51036, 55080, 51036, 54165, 51655, 51378, 51696, 51040, 51696, 50956, 51696, 50965, 51696, 51925, 50372, 53290, 58059, 53597, 50586, 78621, 52028, 52208, 51317, 52208, 51136, 52208, 51169, 52208, 50420, 52834, 59677, 53899, 52834, 71517, 52872, 51925, 77024, 58255, 51845, 50367, 53290, 59716, 51845, 52742, 51925, 50372, 53290, 57917, 53867, 53027, 51845, 60571, 53867, 59667, 53166, 51925, 58207, 53867, 53556, 52834, 59677, 50369, 52438, 61736, 51845, 50891, 50799, 53362, 52208, 52114, 52208, 51890, 51527, 52158, 51527, 54941, 51472, 52907, 50918, 51299, 51036, 51154, 50918, 51165, 51336, 50740, 50285, 50918, 53460, 51036, 52693, 50918, 53361, 51336, 51050, 51696, 50900, 51696, 50871, 51356, 50906, 51356, 51925, 50372, 53290, 59874, 68399, 53376, 50588, 50854, 51504, 52208, 50986, 52208, 50970, 51527, 51064, 51527, 50420, 52834, 59677, 55375, 52834, 59430, 52872, 51925, 66624, 55487, 51845, 78090, 57869, 51845, 53018, 56805, 51014, 55953, 51014, 52003, 51014, 51771, 51014, 51959, 51014, 58577, 50948, 52316, 50830, 51251, 72069, 50830, 71722, 60558, 60558, 63476, 63476, 59166, 59166, 65143, 50830, 52583, 50830, 52507, 50830, 53465, 50830, 51315, 50940, 51176, 50940, 50899, 50940, 76326, 74873, 51925, 54538, 52634, 50381, 53830, 63376, 55190, 50808, 51574, 51021, 51846, 51021, 50960, 51021, 50929, 51021, 50441, 53867, 52875, 51845, 54492, 53867, 57975, 52743, 56805, 50894, 55953, 50894, 52003, 50894, 51771, 50894, 51959, 50894, 58577, 50924, 52316, 50800, 75848, 66194, 70051, 67244, 67244, 51211, 51012, 51211, 51012, 51849, 50923, 51849, 50923, 65143, 50800, 52583, 50800, 52507, 50800, 53465, 50800, 51315, 50858, 51176, 69266, 50858, 64782, 50876, 78832, 54518, 54898, 50809, 51574, 51014, 51846, 51014, 50960, 51014, 50929, 51014, 50453, 53867, 53556, 51845, 50369, 52438, 74884, 52834, 54603, 51845, 50837, 50799, 53359, 50807, 52114, 50807, 52126, 50807, 60514, 50936, 51622, 51352, 51622, 51352, 53549, 51352, 53549, 51352, 52219, 51163, 50849, 51131, 50983, 50986, 50983, 50998, 60055, 60514, 74099, 53065, 50849, 55618, 54689, 60435, 56867, 53417, 53308, 56324, 77824, 53065, 50901, 53198, 55108, 60514, 64182, 55945, 55009, 50795, 52003, 50795, 52775, 55154, 55234, 51370, 50805, 51311, 51060, 50960, 51060, 51078, 51060, 53721, 50971, 51899, 53417, 55670, 52114, 50807, 52126, 50807, 51771, 61559, 55316, 50845, 50986, 50983, 50998, 50983, 50929, 50983, 53341, 50971, 51755, 56189, 55689, 60514, 80144, 50867, 55618, 54689, 60435, 53757, 55185, 53308, 55009, 51091, 52003, 51091, 52775, 51091, 56324, 80144, 53065, 50901, 51311, 50983, 50960, 50983, 51078, 50983, 53198, 55108, 60514, 54444, 55945, 56324, 51030, 50913, 55234, 52201, 50901, 53721, 55256, 60435, 57725, 52808, 55670, 61685, 51030, 50913, 55316, 50849, 53341, 50971, 50799, 53359, 50807, 52114, 50807, 52126, 50807, 60514, 50948, 52636, 50901, 51131, 50983, 50986, 50983, 50998, 60055, 60514, 80144, 50867, 55618, 54689, 60435, 53757, 53417, 52605, 56324, 69046, 53065, 50805, 53198, 55108, 60514, 63986, 55322, 55009, 50795, 52003, 50795, 52775, 55154, 55234, 51370, 50805, 51311, 51060, 50960, 51060, 51078, 51060, 53721, 50971, 51899, 76375, 52114, 50807, 52126, 50807, 51771, 50807, 60514, 51158, 50913, 55316, 50849, 50986, 50983, 50998, 50983, 50929, 50983, 53341, 50971, 51755, 57396, 55689, 60514, 80144, 50867, 55618, 54689, 60435, 57321, 55185, 53387, 55009, 51091, 52003, 51091, 52775, 51091, 56324, 50936, 50913, 53065, 50901, 51311, 50983, 50960, 50983, 51078, 50983, 53198, 55108, 60514, 55271, 52815, 56324, 80144, 56394, 51730, 53734, 50901, 53721, 55256, 60435, 57725, 52201, 53702, 61685, 80144, 55316, 50873, 53341, 50971, 50799, 53359, 50807, 52114, 50807, 52126, 50807, 60514, 50936, 52636, 50849, 51131, 50983, 50986, 50983, 50998, 60055, 60514, 66857, 77824, 50867, 55618, 54689, 60435, 71447, 53757, 53417, 52605, 56324, 50795, 51840, 77824, 53065, 50849, 53198, 55108, 60514, 50967, 51439, 51575, 55322, 55009, 50818, 52003, 50818, 52775, 50818, 51840, 77824, 55234, 52839, 50849, 51311, 51060, 50960, 51060, 51078, 51060, 53721, 55256, 51007, 53757, 53417, 52961, 52114, 50991, 52126, 50991, 51771, 50991, 50909, 77824, 55316, 50901, 50986, 50983, 50998, 50983, 50929, 50983, 53341, 50971, 51755, 54791, 55099, 60514, 50948, 51649, 77824, 50867, 55618, 54689, 60435, 53757, 55185, 54259, 55009, 51091, 52003, 51091, 52775, 51091, 56324, 50948, 51439, 77824, 53065, 50901, 51311, 50983, 50960, 50983, 51078, 50983, 53198, 55108, 60514, 54444, 53969, 56324, 50948, 51840, 77824, 55234, 53417, 50849, 53721, 55256, 60435, 50924, 51007, 72880, 52201, 55670, 61685, 50936, 50913, 55316, 50805, 53341, 50971, 50799, 53359, 50807, 52114, 50807, 52126, 50807, 60514, 50948, 52506, 50849, 51131, 50983, 50986, 50983, 50998, 60055, 60514, 50948, 51149, 77824, 50867, 55618, 54689, 60435, 56548, 53757, 53417, 53387, 56324, 62289, 77824, 53065, 50805, 53198, 55108, 60514, 60397, 53969, 55009, 50818, 52003, 50818, 52775, 73352, 77824, 55234, 54042, 50901, 51311, 51060, 50960, 51060, 51078, 51060, 53721, 55256, 50850, 53757, 76375, 52114, 50991, 52126, 50991, 51771, 50991, 60514, 61282, 51196, 50913, 55316, 50849, 50986, 50983, 50998, 50983, 50929, 50983, 53341, 50971, 51755, 52227, 55689, 60514, 74099, 50867, 55618, 54689, 60435, 57438, 59964, 54777, 55009, 51091, 52003, 51091, 52775, 51091, 56324, 65129, 53065, 50805, 51311, 50983, 50960, 50983, 51078, 50983, 53198, 55108, 60514, 55271, 55322, 56324, 51030, 50913, 55234, 54042, 50873, 53721, 55256, 60435, 57725, 53417, 55345, 61685, 50936, 50913, 55234, 67617, 53341, 50971, 50799, 53359, 50807, 52114, 50807, 52126, 50807, 60514, 50936, 51976, 50873, 51131, 50983, 50986, 50983, 50998, 60055, 60514, 71936, 77824, 50867, 55618, 54689, 60435, 71447, 53757, 53417, 52605, 56324, 50795, 51840, 77824, 53065, 50849, 53198, 55108, 60514, 51379, 51439 ]
[ 0, 250, 20902, 8, 15352, 30054, 5175, 2125, 19, 15855, 16882, 6, 4246, 10, 13305, 14, 1974, 41, 20425, 8859, 11, 5, 762, 9, 163, 428, 538, 23, 41, 12447, 1001, 20889, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 33215, 16739, 9, 163, 428, 406, 6, 2060, 6, 12608, 401, 6, 12608, 119, 1176, 406, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50444, 50906, 51798, 50876, 51923, 51028, 50795, 58526, 63333, 50918, 51001, 50918, 78523, 51628, 50956, 51724, 51197, 51820, 50965, 56645, 53658, 50900, 51757, 57031, 51001, 52809, 55179, 51028, 51923, 50956, 52567, 50861, 51358, 51001, 51358, 58526, 52296, 50900, 51628, 50956, 51724, 51197, 52831, 51197, 51820, 51028, 57367, 53658, 51197, 51757, 51197, 77724, 78858, 52809, 50968, 57022, 51923, 51120, 52567, 51147, 51358, 50931, 51358, 57497, 52296, 51176, 51628, 50871, 51724, 51085, 51820, 50951, 63627, 53658, 51176, 51757, 57061, 51147, 52809, 51001, 50991, 50951, 59592, 50956, 50800, 54662, 50800, 51147, 50807, 51405, 62405, 51050, 51620, 50931, 50807, 51399, 53182, 51040, 51724, 51197, 50800, 51147, 53218, 50906, 60785, 51176, 51757, 50876, 62244, 53312, 50956, 50800, 51028, 50845, 58526, 63333, 50918, 51001, 50918, 78523, 51628, 50956, 51724, 51197, 51820, 50965, 56645, 53658, 50900, 51757, 57031, 51001, 52809, 55179, 51028, 51923, 50956, 52567, 50861, 51358, 51001, 51358, 58526, 52296, 50900, 51628, 50956, 51724, 51197, 52831, 51197, 51820, 51001, 53658, 51197, 51757, 51197, 78858, 51923, 51315, 72355, 50795, 54197, 50800, 51147, 51835, 51147, 52296, 51176, 51620, 51147, 51628, 50900, 66303, 52262, 50902, 51724, 50997, 52831, 50902, 52513, 50902, 51757, 50997, 64441, 51754, 51197, 50800, 57061, 54197, 50800, 51147, 51835, 51147, 52296, 51176, 51620, 51147, 51628, 50900, 66303, 52262, 50902, 51724, 50997, 52831, 50902, 52513, 50902, 51757, 50997, 77724, 51754, 63049, 61097, 55881, 78858, 50983, 50423, 51378, 51628, 50997, 77724, 57222, 51197, 51798, 50997, 56730, 50807, 58526, 57981, 52910, 51176, 54666, 52424, 51176, 56730, 52728, 51176, 54666, 50807, 54662, 59123, 50918, 50423, 51050, 51628, 50997, 51724, 51085, 54789, 50876, 59323, 51026, 56730, 52809, 50877, 54093, 50906, 51358, 54868, 52296, 51050, 51628, 50997, 51724, 51197, 54789, 50876, 59323, 51026, 56730, 52809, 50877, 54093, 50902, 50795, 54868, 53504, 51001, 51835, 50931, 52296, 51026, 50800, 51147, 51620, 50951, 52765, 50906, 51628, 50876, 52262, 50902, 51724, 51085, 78858, 52831, 50968, 51820, 51001, 52513, 51050, 59123, 51757, 50876, 52809, 50965, 51754, 50861, 52567, 63282, 54662, 57722, 51161, 50423, 51050, 51724, 51234, 52513, 51050, 51754, 50906, 52567, 57213, 54868, 78858, 53504, 50902, 51835, 50931, 52296, 63049, 51062, 51620, 51220, 52765, 50902, 51628, 51001, 52262, 50931, 51724, 51085, 50800, 51147, 52831, 51114, 51820, 51001, 52513, 51050, 78858, 51757, 50965, 52809, 50861, 51754, 50871, 52567, 50956, 50800, 54868, 57722, 50918, 50423, 51050, 51628, 50997, 51724, 51214, 51918, 50861, 51798, 51026, 59006, 52809, 50956, 54093, 50871, 51161, 53997, 52296, 51197, 51628, 51026, 51724, 51247, 51918, 50861, 51798, 51197, 59006, 52809, 50956, 54093, 50871, 50800, 54197, 63656, 51161, 62275, 51918, 50906, 54323, 50876, 55670, 51028, 50845, 58526, 63333, 50918, 51001, 50918, 78523, 51628, 50956, 51724, 51197, 51820, 50965, 56645, 53658, 50900, 51757, 57031, 51001, 52809, 55179, 51028, 51923, 50956, 52567, 50861, 51358, 51001, 51358, 58526, 52296, 50900, 51628, 50956, 51724, 51197, 52831, 51197, 51820, 51028, 57367, 53658, 51197, 51757, 51197, 77724, 78858, 52809, 50968, 57022, 51923, 51120, 52567, 51147, 51358, 50931, 51358, 57497, 52296, 51176, 51628, 50871, 51724, 51085, 51820, 50951, 63627, 53658, 51176, 51757, 57061, 51147, 52809, 51001, 50991, 50951, 59592, 50956, 50800, 54662, 50800, 51147, 50807, 51405, 62405, 51050, 51620, 50931, 50807, 51399, 53182, 51040, 51724, 51197, 50800, 51147, 53218, 50906, 57060, 51176, 51757, 50876, 62244, 53312, 50956, 50800, 51028, 50845, 58526, 63333, 50918, 51001, 50918, 78523, 51628, 50956, 51724, 51197, 51820, 50965, 56645, 53658, 50900, 51757, 57031, 51001, 52809, 55179, 51028, 51923, 50956, 52567, 50861, 51358, 51001, 51358, 58526, 52296, 50900, 51628, 50956, 51724, 51197, 52831, 51197, 51820, 51001, 53658, 51197, 51757, 51197, 78858, 51923, 51315, 72355, 50795, 54197, 50800, 51147, 51835, 51147, 52296, 51176, 51620, 51147, 51628, 50900, 66303, 52262, 50902, 51724, 50997, 52831, 50902, 52513, 50902, 51757, 50997, 64441, 51754, 51197, 50800, 57061, 54197, 50800, 51147, 51835, 51147, 52296, 51176, 51620, 51147, 51628, 50900, 66303, 52262, 50902, 51724, 50997, 52831, 50902, 52513, 50902, 51757, 50997, 77724, 51754, 63049, 61097, 55881, 78858, 50983, 50423, 51378, 51628, 50997, 77724, 57222, 51197, 51798, 50997, 56730, 50807, 58526, 57981, 52910, 51176, 54666, 52424, 51176, 56730, 52728, 51176, 54666, 50807, 54662, 59123, 50918, 50423, 51050, 51628, 50997, 51724, 51085, 54789, 50876, 59323, 51026, 56730, 52809, 50877, 54093, 50906, 51358, 54868, 52296, 51050, 51628, 50997, 51724, 51197, 54789, 50876, 59323, 51026, 56730, 52809, 50877, 54093, 50902, 50795, 54868, 53504, 51001, 51835, 50931, 52296, 51026, 50800, 51147, 51620, 50951, 52765, 50906, 51628, 50876, 52262, 50902, 51724, 51085, 78858, 52831, 50968, 51820, 51001, 52513, 51050, 59123, 51757, 50876, 52809, 50965, 51754, 50861, 52567, 63282, 54662, 57722, 51161, 50423, 51050, 51724, 51234, 52513, 51050, 51754, 50906, 52567, 57213, 54868, 78858, 53504, 50902, 51835, 50931, 52296, 63049, 51062, 51620, 51220, 52765, 50902, 51628, 51001, 52262, 50931, 51724, 51085, 50800, 51147, 52831, 51114, 51820, 51001, 52513, 51050, 78858, 51757, 50965, 52809, 50861, 51754, 50871, 52567, 50956, 50800, 54868, 57722, 50918, 50423, 51050, 51628, 50997, 51724, 51214, 51918, 50861, 51798, 51026, 59006, 52809, 50956, 54093, 50871, 51161, 53997, 52296, 51197, 51628, 51026, 51724, 51247, 51918, 50861, 51798, 51197, 59006, 52809, 50956, 54093, 50871, 50800, 54197, 63656, 51161, 62275, 51918, 50906, 56697, 50876, 53586, 51028, 50901, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15855, 2125, 6, 533, 341, 11, 10, 19834, 6, 4246, 41, 21979, 8669, 816, 10, 19448, 8, 5679, 26709, 33301, 4, 20, 2214, 16, 11, 211, 3694, 19, 10, 132, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 4, 85, 7630, 6568, 6453, 9, 11098, 8, 657, 6, 442, 24, 10686, 13, 10, 1144, 26016, 1310, 11, 10, 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 ]	[ 69434, 51207, 52864, 67830, 51064, 52483, 67830, 51064, 52605, 51131, 50805, 51034, 51246, 52864, 67830, 51064, 52483, 50960, 52605, 67830, 51064, 52446, 50986, 52815, 67669, 66309, 51057, 51207, 52864, 67830, 51064, 52483, 67830, 51064, 52605, 51131, 50805, 51034, 51246, 52864, 67830, 51064, 52483, 50960, 52605, 67830, 51064, 52446, 51136, 52815, 63755, 66309, 51057, 50986, 52864, 63755, 50947, 52483, 63755, 50947, 52605, 51136, 50805, 51034, 50960, 52864, 63755, 50947, 52483, 51246, 52605, 63755, 50947, 52446, 51207, 52815, 63755, 66309, 51057, 52562, 52864, 71821, 50929, 52483, 71821, 50929, 52605, 52562, 50805, 64857, 52864, 51246, 50805, 50986, 52483, 51725, 52605, 51131, 50805, 50960, 52446, 52012, 52815, 51207, 50805, 51136, 50805, 51057, 53271, 52864, 71821, 50929, 52483, 71821, 50929, 52605, 51725, 50805, 64857, 52864, 72429, 50929, 52483, 51504, 52605, 72429, 50929, 52446, 51574, 52815, 72429, 63755, 51057, 53271, 52864, 71821, 50929, 52483, 71821, 50929, 52605, 51725, 50805, 64857, 52864, 72429, 50929, 52483, 51504, 52605, 72429, 50929, 52446, 51574, 52815, 72429, 63755, 51057, 51504, 52864, 71821, 50929, 52483, 71821, 50929, 52605, 51207, 50805, 51034, 51246, 52864, 51136, 50805, 50929, 52483, 51131, 52605, 51136, 50805, 50929, 52446, 52012, 52815, 51136, 50805, 63755, 51057, 51725, 52864, 51136, 50805, 50929, 52483, 51136, 50805, 50929, 52605, 51444, 50805, 51034, 52562, 52864, 51136, 50805, 50929, 52483, 51207, 52605, 51136, 50805, 50929, 52446, 51504, 52815, 51136, 50805, 63755, 51057, 52012, 52864, 50986, 52483, 50960, 52605, 51136, 50805, 80264, 52864, 50929, 52483, 50970, 52605, 51032, 52446, 51444, 52815, 71821, 51057, 51207, 52864, 67830, 51064, 52483, 67830, 51064, 52605, 51131, 50805, 51034, 51246, 52864, 67830, 51064, 52483, 50960, 52605, 67830, 51064, 52446, 50986, 52815, 63755, 66309, 51057, 51207, 52864, 67830, 51064, 52483, 67830, 51064, 52605, 51131, 50805, 51034, 51246, 52864, 67830, 51064, 52483, 50960, 52605, 67830, 51064, 52446, 50986, 52815, 63755, 66309, 51057, 51207, 54243, 50960, 51077, 50970, 51077, 51064, 51077, 72262, 51207, 53912, 50960, 51077, 50970, 51077, 51064, 51077, 51038, 50426, 71888, 50269, 50786, 50414, 50960, 51538, 50970, 51538, 51064, 51538, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8787, 19834, 2125, 6, 19, 4785, 9, 5175, 930, 6, 7630, 6568, 10, 25306, 5466, 4, 85, 1575, 10, 6755, 12547, 6, 2382, 3459, 8669, 6, 24896, 6, 15679, 642, 1543, 6, 8, 2020, 3548, 6, 2351, 10, 11739, 9, 11098, 8, 26545, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 11498, 41, 178, 5285, 20889, 1328, 4, 20, 16331, 33215, 16739, 9, 230, 6, 274, 6, 230, 6, 8, 272, 3639, 10, 1472, 9, 30234, 8, 15352, 30054, 2868, 7, 42, 9066, 4388, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 66844, 51314, 50415, 50945, 51795, 50420, 51118, 51477, 50427, 51061, 52048, 50432, 51023, 51051, 50439, 51092, 51241, 50445, 51023, 51309, 50451, 51061, 67773, 51118, 50905, 70895, 66821, 51243, 51011, 61912, 51118, 52783, 50427, 51089, 50915, 50433, 51020, 51174, 50439, 51092, 51397, 50444, 51020, 51254, 50451, 51089, 51884, 50456, 51118, 50933, 54516, 73010, 51557, 70762, 51083, 55586, 50427, 51061, 51542, 50432, 51193, 51481, 50439, 51185, 51047, 50445, 51193, 75589, 51061, 51380, 50457, 51083, 51862, 50461, 51133, 51029, 51601, 51118, 78264, 51083, 51806, 50426, 51061, 51074, 50431, 50953, 52030, 51193, 59948, 51083, 51703, 50438, 51118, 52147, 51061, 51080, 50964, 51009, 52795, 51059, 50440, 51193, 56458, 51092, 54532, 50451, 54019, 51072, 66844, 51036, 56496, 60508, 50945, 54226, 51118, 52980, 50427, 51061, 51466, 56496, 63284, 51023, 51254, 50945, 52057, 51092, 51337, 50945, 80261, 56496, 52313, 51023, 51884, 54650, 58317, 51061, 51753, 54019, 52325, 51118, 51074, 63615, 53602, 50976, 66821, 51307, 51011, 51059, 52795, 58823, 51118, 52980, 50426, 51089, 51679, 50432, 51020, 50892, 51011, 50823, 52795, 55276, 51092, 51542, 51011, 51009, 52795, 52313, 51020, 51884, 50445, 54019, 65027, 51089, 66983, 51118, 50827, 50799, 51557, 51293, 74186, 52494, 64948, 51083, 52980, 50426, 51061, 51419, 50427, 52494, 60493, 51193, 51376, 51186, 57880, 52494, 60920, 51185, 50915, 51186, 57310, 51193, 66809, 51061, 51337, 50456, 51083, 51058, 52795, 50976, 50461, 51133, 51300, 74290, 51283, 52494, 51029, 50419, 51083, 51484, 50425, 51061, 51242, 50431, 51193, 52927, 63615, 52795, 62472, 51092, 50892, 52047, 51419, 52494, 50976, 56107, 63189, 52882, 64070, 52307, 59712, 51089, 50892, 50455, 52203, 58954, 56372, 50457, 51118, 51824, 52354, 50824, 52614, 51352, 50415, 51616, 51662, 50420, 51118, 52136, 50426, 51061, 79542, 51023, 51210, 50945, 52952, 51092, 51025, 50945, 53681, 51023, 51753, 50450, 51061, 51242, 71435, 52307, 58954, 51118, 50959, 52795, 50802, 68266, 51359, 77199, 52307, 51352, 50419, 51118, 52136, 50426, 51061, 51333, 50431, 51023, 53961, 50927, 52952, 51092, 51043, 50927, 54554, 51061, 51101, 51133, 51072, 52795, 58954, 51118, 50822, 54019, 50802, 54516, 50824, 52795, 51352, 50415, 51557, 51627, 50420, 51083, 51961, 50426, 51061, 51576, 50432, 51193, 51470, 51186, 52952, 51557, 51314, 51083, 51244, 51061, 51127, 51193, 51080, 51133, 50976, 50439, 51092, 54557, 50444, 50953, 52768, 70259, 54650, 51923, 54019, 50923, 66844, 50981, 50945, 51059, 51154, 52122, 56496, 61912, 51118, 51534, 50426, 51061, 50873, 50431, 51023, 54215, 50945, 57784, 51193, 50937, 51083, 56298, 51061, 51254, 51092, 50866, 52047, 51121, 51133, 50824, 51638, 51145, 50439, 51251, 77092, 50449, 51947, 58317, 50964, 51072, 50455, 53093, 62167, 53456, 50824, 66844, 51293, 64320, 51883, 51717, 50415, 51299, 51717, 50420, 51118, 52256, 50425, 53456, 66489, 51061, 51333, 50431, 51023, 54221, 50945, 57880, 53456, 61147, 51092, 51221, 50945, 51029, 50443, 53266, 62186, 51023, 56989, 51061, 51242, 53093, 60646, 57416, 52339, 58954, 51118, 51376, 50461, 51282, 51151, 51011, 51059, 51947, 51059, 70321, 51359, 50419, 51118, 52256, 50425, 51089, 50995, 50431, 51020, 50822, 51947, 54179, 51011, 57880, 51092, 51419, 51011, 51009, 51947, 50976, 50443, 51020, 51074, 53093, 51352, 50450, 51089, 77146, 51118, 71206, 74186, 51638, 51655, 50799, 51557, 51353, 51154, 53082, 50415, 51251, 50359, 50413, 50419, 51083, 69790, 51061, 51391, 50431, 77585, 52058, 54179, 51193, 52192, 50434, 51947, 61109, 51186, 60920, 51185, 50915, 52058, 51029, 50443, 51193, 51884, 50450, 51061, 51194, 50455, 51083, 51006, 52384, 50976, 50460, 51299, 52250, 74290, 51134, 51133, 51300, 51702, 51029, 50419, 51083, 52378, 50426, 51061, 51074, 50431, 52384, 52119, 67113, 57416, 50434, 51702, 61109, 51089, 51884, 50438, 51020, 50867, 52047, 51679, 50964, 51009, 52384, 63747, 51092, 51852, 51301, 51183, 50443, 52058, 76253, 52384, 59712, 51020, 51254, 50455, 51702, 55273, 51089, 57467, 51866, 66426, 50945, 51059, 51883, 51717, 51154, 52250, 66844, 51161, 50416, 52148, 51352, 50419, 51118, 52980, 50426, 51061, 67995, 51023, 51470, 50945, 52057, 51092, 51419, 50439, 50945, 63757, 51023, 53096, 50450, 51019, 51072, 52148, 66054, 51061, 52056, 50452, 51866, 64776, 51702, 55273, 51118, 79076, 51763, 51894, 51702, 51352, 52288, 51059, 51251, 53478, 50419, 51083, 51961, 50426, 51061, 51419, 50432, 51023, 51884, 50927, 52952, 51083, 56557, 51185, 51080, 50439, 50927, 52284, 51023, 57991, 51061, 51194, 53093, 50976, 50451, 51133, 64531, 51083, 51074, 51947, 51795, 54516, 50824, 51638, 51551, 50415, 51557, 51148, 50421, 51083, 52378, 50427, 51061, 62118, 51186, 59009, 51193, 53574, 51089, 51333, 51133, 50976, 50439, 51020, 50943, 51118, 52136, 51301, 51244, 51299, 53380, 50440, 51092, 55480, 50953, 57795, 53266, 63758, 50964, 70216, 53456, 50811, 66844, 51452, 50945, 51029, 51154, 51358, 51883, 52015, 53456, 66288, 51118, 51490, 50426, 51061, 57648, 51023, 51101, 50437, 50945, 53663, 51092, 50952, 50449, 51815, 50865, 71435, 51301, 71252, 68308, 50873, 51093, 56508, 51089, 50952, 51023, 65367, 50937, 68266, 50924, 50927, 51009, 51154, 51160, 51113, 51221, 51251, 51377, 52371, 51072, 51201, 50896, 50421, 51083, 65435, 51061, 51124, 50427, 51284, 53566, 51023, 59321, 51154, 60920, 51113, 51013, 51182, 50824, 52143, 51552, 50439, 50964, 57310, 51083, 57554, 51061, 51121, 51201, 73300, 51251, 50977, 51154, 50936, 51113, 50924, 50799, 51557, 51945, 51096, 51059, 52602, 50917, 51638, 50977, 51107, 72100, 51083, 50915, 51201, 62715, 51096, 52952, 51185, 51091, 51096, 52940, 51023, 57824, 51061, 77650, 67067, 51107, 51159, 70782, 51933, 71877, 51699, 51518, 51182, 51585, 51251, 51692, 51165, 51945, 51088, 52500, 50419, 51557, 52263, 50426, 51083, 50932, 51638, 65492, 51299, 69657, 51020, 50987, 50953, 57880, 51193, 51291, 51251, 51518, 50439, 50953, 51300, 50444, 51020, 57299, 51083, 51576, 51107, 51073, 50456, 51557, 51079, 50461, 51165, 51218, 51182, 51184, 50799, 52047, 51749, 50964, 51072, 51154, 51218, 52143, 51184, 51251, 52250, 50420, 51557, 52598, 50426, 51083, 51253, 51154, 50824, 50431, 51061, 50879, 56372, 50437, 52047, 51241, 51088, 58769, 51020, 51362, 51133, 51072, 51154, 52024, 50449, 50964, 54145, 51401, 50862, 51557, 50977, 52795, 50824, 68266, 51013, 77199, 52371, 52369, 51201, 51036, 51113, 53002, 52307, 54226, 51083, 58187, 51061, 51330, 50427, 52614, 53566, 51023, 51174, 50927, 57784, 52203, 53663, 51185, 51145, 50927, 63757, 51023, 51330, 50449, 71155, 52143, 51573, 50450, 51061, 51056, 52307, 50824, 50455, 51083, 50974, 50460, 51107, 51353, 50461, 51557, 51151, 53596, 50824, 52602, 51585, 52494, 54226, 51083, 76906, 51061, 50981, 52882, 50824, 50431, 51096, 52726, 51023, 50978, 50437, 51185, 51241, 52307, 76190, 51096, 60254, 51023, 51961, 50449, 50953, 54145, 51061, 51203, 51699, 59727, 51083, 51142, 52494, 50976, 50460, 51093, 61307, 66844, 50915, 50945, 51009, 51088, 51237, 51887, 51009, 52795, 54226, 51118, 65435, 51061, 51412, 54019, 53566, 51023, 51824, 50437, 52307, 60920, 51763, 51080, 51113, 51189, 50439, 50927, 51009, 52371, 63323, 51083, 52056, 50450, 51061, 66983, 60943, 54019, 50860 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 211, 538, 6, 4246, 10, 2382, 3459, 8669, 4, 590, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 11098, 8, 7125, 4, 20, 33215, 16739, 9, 211, 6, 274, 10431, 119, 6, 272, 6, 8, 83, 4620, 5, 46336, 4811, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 53534, 51685, 50850, 51196, 52326, 51941, 51897, 50846, 51282, 51623, 50420, 51249, 51115, 52105, 51118, 51318, 51510, 52928, 51327, 50849, 52261, 51089, 54100, 51818, 51413, 55347, 50884, 51023, 80179, 50992, 51030, 51327, 51204, 52261, 51089, 51295, 50444, 64604, 50850, 51030, 51249, 50924, 52120, 50846, 51282, 57824, 51325, 51977, 50850, 51356, 54872, 51941, 51897, 50846, 52159, 51452, 50456, 51651, 51189, 52105, 51118, 51318, 76820, 77034, 51100, 52261, 51089, 58879, 51818, 50983, 55347, 50884, 51023, 51790, 50426, 50850, 51030, 51327, 50943, 52261, 51089, 51318, 50432, 51325, 61914, 51021, 51651, 50805, 52120, 50846, 52159, 53913, 50953, 51356, 50909, 51661, 52690, 51933, 51897, 50846, 51401, 51790, 50444, 51231, 51218, 52105, 51118, 51477, 51618, 53057, 51327, 50845, 52261, 51089, 54509, 51818, 50983, 55347, 50884, 51023, 51790, 74776, 50806, 51327, 51003, 52261, 51089, 78377, 50953, 62289, 50806, 51231, 50865, 52120, 50846, 51401, 53770, 51213, 51977, 51007, 51541, 55349, 51933, 51897, 50846, 52473, 51538, 50432, 51719, 50983, 52105, 51118, 51318, 51556, 53040, 51327, 51121, 52261, 51089, 51328, 50444, 51007, 50980, 51818, 51091, 55347, 50884, 51023, 67647, 51327, 51162, 52261, 51089, 71834, 51213, 50948, 51007, 50923, 51719, 50878, 52120, 50846, 51118, 50901, 52563, 51685, 50935, 51196, 52690, 52045, 51897, 50846, 51401, 51486, 77127, 51083, 51115, 51510, 52928, 51231, 51142, 52261, 51268, 51346, 50432, 51231, 51141, 51672, 51204, 51457, 51141, 52948, 51294, 55347, 53418, 50850, 50948, 52261, 51268, 51397, 50444, 61967, 72527, 52120, 50846, 51083, 68031, 51271, 51977, 50868, 51055, 51231, 51422, 51672, 51692, 51457, 51692, 51818, 51422, 51897, 50846, 51401, 51161, 51453, 50839, 51083, 51318, 76820, 57342, 50948, 52261, 51268, 51112, 67653, 50924, 55347, 53150, 50885, 50893, 52261, 51268, 70705, 51271, 58922, 50806, 52120, 50846, 51083, 50987, 55208, 51977, 50847, 51496, 52690, 51538, 51231, 51675, 51672, 51692, 51457, 51264, 51897, 50846, 51595, 51091, 51180, 50839, 51083, 51116, 51618, 53057, 52261, 51268, 55345, 51007, 51021, 55347, 50884, 51083, 51345, 63516, 51030, 52261, 50420, 61967, 50868, 50893, 51231, 50959, 52120, 50846, 51083, 52247, 51271, 51356, 50847, 51285, 52690, 51446, 51231, 51025, 51672, 51191, 51982, 51486, 51897, 50818, 51282, 50893, 51361, 50839, 51401, 61636, 51231, 63250, 55933, 51231, 51116, 51672, 51091, 51457, 51294, 51456, 50895, 51401, 70233, 50953, 57753, 51030, 52690, 51124, 51224, 50895, 51595, 67773, 51325, 50952, 50992, 51030, 51231, 50925, 51326, 50883, 51083, 50849, 53534, 51685, 50850, 51196, 51584, 52140, 51567, 51801, 52326, 51941, 53274, 51161, 54992, 51161, 52328, 52122, 50877, 54830, 50968, 54830, 50999, 54830, 50876, 57422, 51769, 55089, 50883, 51282, 51623, 50420, 51249, 51115, 52105, 51118, 51318, 51510, 52928, 51327, 50849, 52261, 51089, 54100, 51818, 51413, 55347, 50884, 51023, 80179, 50992, 51030, 51327, 51204, 52261, 51089, 51295, 50444, 64604, 50850, 51030, 51249, 50924, 52120, 50846, 51282, 57824, 51325, 51977, 50850, 51356, 51986, 52431, 54872, 51941, 53274, 52045, 57198, 51538, 50965, 54830, 51147, 54830, 50968, 63034, 51897, 50846, 52159, 51452, 50456, 51651, 51189, 52105, 51118, 51318, 76820, 77034, 51100, 52261, 51089, 58879, 51818, 50983, 55347, 50884, 51023, 51790, 50426, 50850, 51030, 51327, 50943, 52261, 51089, 51318, 50432, 51325, 61914, 51021, 51651, 50805, 52120, 50846, 52159, 53913, 50953, 51356, 50909, 51196, 51555, 51677, 52690, 51933, 53873, 51161, 50861, 54830, 50951, 54830, 51897, 50846, 51401, 51790, 50444, 51231, 51218, 52105, 51118, 51477, 51618, 53057, 51327, 50845, 52261, 51089, 54509, 51818, 50983, 55347, 50884, 51023, 51790, 74776, 50806, 51327, 51003, 54643, 50841, 51089, 78377, 64483, 51231, 50865, 52120, 50846, 51401, 71481, 50909, 63446, 51213, 51977, 50909, 51226, 52089, 51422, 55349, 51933, 52689, 51241, 53274, 51141, 54992, 51191, 50968, 53265, 50999, 53265, 50989, 54830, 50876, 54830, 51897, 50846, 52473, 51538, 50432, 51719, 50983, 52105, 51118, 51318, 51556, 53040, 51327, 51121, 52261, 51089, 51328, 50444, 50909, 51427, 51818, 51091, 52689, 51351, 56806, 51351, 50876, 53265, 51114, 53265, 55347, 50884, 51023, 67647, 51327, 51162, 54643, 50841, 51089, 71834, 51213, 50948, 50909, 51021, 51719, 50878, 52120, 50846, 51118, 50901, 52563, 51685, 50850, 51356, 51231, 51285, 51457, 52195, 53565, 51538, 52888, 51091, 53873, 51538, 52333, 51295, 50973, 54830, 50902, 54830, 50951, 54830, 51897, 50846, 51401, 51933, 77127, 51083, 51218, 51510, 50834, 51544, 50841, 51020, 51736, 52690, 51496, 52888, 51585, 51982, 51189, 55347, 50884, 51208, 52262, 51092, 52599, 50872, 50923, 51231, 50896, 51457, 51290, 54643, 50841, 51020, 58141, 61967, 50885, 51021, 51672, 50948, 52120, 50846, 51083, 58332, 51271, 51977, 51303, 51472, 51249, 51196, 51327, 51661, 51457, 51413, 52945, 51189, 52689, 50983, 53686, 51091, 51829, 51295, 50877, 54830, 50876, 54830, 50931, 54830, 51897, 50846, 51083, 51191, 50451, 50850, 57241, 74432, 52105, 51061, 51351, 76820, 61464, 51030, 52261, 51023, 60413, 52945, 51204, 52689, 51204, 53686, 51294, 52328, 51295, 55347, 50884, 51083, 51191, 50421, 51007, 63446, 50847, 51030, 51303, 51235, 51327, 51290, 51457, 51073, 54643, 50841, 51061, 59102, 51271, 62540, 50911, 51249, 50924, 52120, 73818, 53470, 50953, 51977, 50847, 51977, 52690, 51538, 51231, 51675, 51672, 51692, 51457, 51264, 53132, 52821, 53565, 52644, 52888, 52821, 52836, 53259, 50861, 63034, 50973, 63034, 50902, 63034, 51897, 68204, 51116, 51185, 51204, 51180, 50839, 51618, 53057, 52261, 51020, 57131, 55347, 50884, 51020, 51363, 51185, 51191, 76220, 51427, 54643, 50841, 51208, 51199, 50420, 61967, 50847, 51358, 51231, 50959, 52120, 68204, 75749, 51271, 51196, 51007, 51274, 52690, 51446, 51231, 51025, 51672, 51191, 51769, 55089, 50883, 51185, 50983, 51361, 50839, 51208, 50981, 51556, 53040, 51231, 50955, 52261, 51020, 51351, 57403, 51162, 51231, 51116, 51672, 51091, 51457, 51294, 52574, 51901, 72971, 51351, 57703, 51048, 50850, 51021, 52690, 51124, 54643, 61435, 50895, 51208, 51363, 50454, 52949, 58677, 53503, 53137, 50847, 50940, 51231, 50925, 52301, 50841, 51914, 53971, 51044, 68196, 50895, 51020, 68571, 51953, 54814, 51859, 61994, 51676, 50839, 51617, 60634, 52317, 50818, 53400, 51685, 50847, 51761, 51555, 51141, 51902, 51141, 52075, 51364, 54369, 51661, 51465, 51294, 51672, 50915, 53274, 50983, 53873, 51933, 51676, 51939, 52328, 51422, 50968, 58940, 50951, 54830, 50861, 54830, 50973, 54830, 50968, 54830, 51335, 53971, 50883, 51815, 51472, 53158, 50839, 51089, 51412, 60729, 52928, 51231, 51006, 67475, 51020, 67772, 50868, 51295, 51555, 51189, 51902, 50983, 52075, 51141, 52290, 51141, 51465, 51235, 51231, 51294, 51672, 50983, 58635, 50983, 51220, 53265, 50903, 52893, 76681, 51189, 51208, 80179, 50847, 50911, 54369, 51267, 60274, 50828, 51815, 77484, 63028, 50935, 51388, 51465, 50978, 57372, 50818, 51020, 67081, 51205, 51196, 50944, 51356, 51902, 51141, 51612, 51141, 52974, 51364, 51410, 51291, 51719, 51661, 51672, 51291, 56806, 51933, 54992, 50983, 51617, 51677, 51982, 51662, 50999, 53265, 51114, 54830, 50973, 54830, 50902, 54830, 55809, 50839, 54110, 51518, 50456, 67475 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 19834, 4246, 10, 13305, 6, 6755, 12547, 6, 31391, 1672, 9590, 6, 1076, 560, 31365, 25999, 6, 8, 38668, 11212, 4, 152, 251, 2125, 16, 278, 11, 230, 538, 19, 10, 2635, 20889, 9, 3191, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 10726, 9, 272, 6, 230, 6, 274, 401, 6, 274, 6, 8, 83, 6, 2351, 41, 9066, 8, 980, 219, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 1471, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50619, 52894, 50918, 51690, 55597, 52487, 52440, 50909, 51177, 72985, 50418, 50885, 51233, 50885, 51391, 50422, 50909, 51481, 50872, 77008, 51257, 57084, 51194, 72985, 50428, 51257, 53096, 50430, 50909, 51177, 50872, 51419, 50434, 50885, 51101, 70386, 58711, 50942, 54294, 52440, 50935, 51167, 79073, 52156, 50857, 64994, 62384, 51827, 51126, 51686, 50827, 61297, 55788, 60390, 60795, 51132, 51413, 50885, 51337, 50885, 51419, 55562, 67762, 51606, 51679, 50444, 60390, 63674, 50935, 51884, 77735, 55562, 64457, 60390, 53938, 73178, 79073, 51257, 51285, 50451, 55562, 51043, 50454, 50935, 51242, 50872, 51542, 50456, 50872, 51183, 50458, 50885, 51242, 73178, 54983, 50942, 53089, 52440, 50939, 51192, 78126, 51827, 50867, 61297, 73051, 51686, 50904, 60390, 60461, 51132, 51446, 50885, 51233, 50885, 51419, 51606, 51381, 55562, 53299, 60390, 65291, 50939, 51101, 77735, 55562, 61083, 60390, 53425, 50885, 51337, 78126, 51257, 51196, 55562, 51043, 50430, 50939, 51111, 50872, 51542, 50432, 50872, 60085, 63245, 50885, 51233, 51596, 51008, 57097, 51446, 52487, 52440, 50850, 51167, 50850, 50896, 51752, 51318, 50440, 55156, 63753, 73178, 50885, 51542, 54486, 54434, 55156, 61794, 65623, 50872, 51423, 54486, 64457, 55156, 54086, 73178, 50850, 51016, 51257, 50807, 54486, 51043, 50454, 50872, 51423, 68098, 50456, 50872, 73119, 71037, 67637, 52894, 50918, 51690, 59828, 53506, 52440, 63456, 50909, 50893, 51606, 52263, 55562, 51448, 50418, 62783, 50885, 70152, 50909, 59092, 51400, 50422, 50872, 51194, 50872, 51162, 50424, 50885, 51775, 59812, 51642, 51257, 51162, 77289, 50430, 50909, 57045, 51191, 50432, 62814, 50434, 50885, 51212, 50885, 52482, 58711, 50897, 54294, 52440, 68352, 50935, 51227, 52156, 50886, 64994, 68273, 51827, 50837, 51686, 50904, 60390, 63776, 51132, 51291, 61999, 50885, 51337, 51606, 51391, 55562, 54305, 50935, 51162, 60390, 68787, 77735, 50872, 51411, 55562, 64457, 50885, 51411, 60390, 53886, 50885, 51309, 50935, 51175, 51257, 51191, 55562, 51194, 50454, 76246, 50872, 51337, 50456, 69427, 50458, 50885, 52518, 50885, 51233, 54983, 50925, 53089, 52440, 67866, 50939, 51178, 51827, 50867, 61297, 70624, 51257, 54521, 51686, 50904, 60390, 64685, 51132, 50983, 62835, 50885, 51233, 51606, 50932, 55562, 54475, 50939, 51110, 60390, 66183, 77735, 79933, 55562, 62782, 50885, 51101, 60390, 53425, 50885, 51337, 78126, 51257, 50915, 55562, 51212, 50428, 70944, 50430, 50872, 56948, 51542, 50432, 50885, 51203, 50434, 70386, 72080, 51596, 50854, 54486, 50834, 55156, 50942, 50436, 50939, 53574, 51132, 51356, 51690, 52397, 52487, 52397, 50850, 59590, 50896, 51752, 50862, 54486, 67635, 55156, 56442, 52671, 50829, 51596, 58900, 64060, 73178, 52671, 50835, 51752, 51381, 54486, 54247, 71144, 55156, 60812, 50872, 51423, 74229, 54486, 65807, 50885, 51576, 55156, 54915, 59455, 50807, 51690, 52731, 50885, 51233, 50850, 51016, 51257, 50914, 54486, 51253, 50454, 51304, 52167, 50872, 51423, 50850, 66947, 50872, 73752, 51284, 52946, 67637, 67637, 75696, 51121, 77289, 50418, 55301, 53161, 52376, 50883, 68151, 64832, 51337, 50885, 73967, 51831, 50884, 60507, 61553, 52376, 50883, 68151, 59013, 51831, 50883, 60507, 50883, 50909, 51277, 50872, 52059, 50424, 52376, 50895, 68151, 61953, 51831, 50883, 60507, 53087, 55301, 52059, 52376, 50883, 68151, 50883, 51257, 60185, 51043, 77289, 50427, 51831, 50821, 60507, 50821, 50428, 51257, 52460, 50430, 52376, 50818, 54103, 50828, 68151, 50818, 50744, 50305, 61937, 51121, 50872, 51381, 50434, 55301, 52059, 50885, 51177, 50885, 69397, 50935, 51379, 50935, 51013, 50442, 55301, 53161, 50885, 51423, 50885, 51391, 50443, 52376, 50880, 68151, 64733, 51831, 50883, 60507, 60797, 52376, 50883, 68151, 50883, 50935, 51481, 50872, 51642, 50448, 51831, 50846, 60507, 61587, 52376, 50818, 68151, 52396, 55301, 52482, 51831, 50883, 60507, 64832, 51233, 50935, 51013, 51257, 52195, 50452, 52376, 50846, 68151, 60053, 51831, 50821, 60507, 62354, 51212, 50872, 51679, 50456, 51831, 50821, 60507, 62121, 51127, 50458, 55301, 52059, 50885, 51101, 50885, 51233, 50459, 52376, 50846, 52832, 50828, 68151, 50846, 61571, 50828, 76952, 51286, 50939, 51013, 50418, 55301, 53161, 50885, 51337, 50885, 51391, 50421, 52376, 50880, 68151, 61135, 50939, 51121, 50872, 51642, 50423, 51831, 50883, 60507, 63655, 52376, 50818, 68151, 57550, 51831, 50818, 60507, 52437, 55301, 53726, 50885, 51423, 50939, 51013, 51257, 51551, 50427, 52376, 50883, 68151, 55212, 51831, 50921, 60507, 68418, 50939, 51060, 50872, 51679, 50432, 50872, 62089, 51831, 50880, 60507, 62268, 55301, 53161, 50848, 64263, 51337, 50438, 50850, 51379, 50850, 51013, 50442, 55301, 52482, 52376, 50880, 68151, 71528, 51233, 50885, 51419, 50443, 51831, 50883, 60507, 65266, 51831, 50883, 52522, 50883, 60507, 50883, 50744, 50310, 60797, 51652, 50883, 60531, 50883, 67474, 77735, 50447, 51831, 50883, 60507, 61576, 51831, 50880, 60507, 54411, 55301, 52482, 50885, 51233, 50850, 51013, 51257, 51013, 50451, 51831, 50821, 60507, 74362, 77735, 65198, 50456, 50872, 67164, 55301, 53161, 67637, 50885, 51337, 52894, 51661, 70141, 50909, 50893, 55562, 51627, 50417, 52376, 50883, 68151, 62740, 51831, 50884, 60507, 50884, 65998, 50885, 70152, 52376, 50883, 68151, 50883, 50909, 59092, 51377, 50422, 51831, 50883, 60507, 62269, 51194, 50872, 51346, 50423, 52376, 50883, 68151, 63655, 50885, 51411, 50425, 51831, 50883, 60507, 53087, 52376, 50883, 68151, 64832, 51642, 51257, 51346, 77289, 50428, 51831, 50880, 60507, 59965, 51831, 50880, 60507, 64626, 58541, 51191, 50432, 50872, 50889, 50434, 50885, 51177, 50885, 52482, 58711, 50897, 74797, 50935, 51227, 52156, 51000, 64994, 68167, 51827, 50928, 51686, 51128, 60390, 59356, 52376, 50883, 68151, 63895, 51132, 51343, 62835, 50885, 51337, 51606, 51961, 55562, 64831, 51831, 50883, 60507, 53675, 50935, 51346, 60390, 65804, 52376, 50883, 68151, 60797, 51831, 50883, 60507, 62269, 51309, 50872, 51025, 55562, 60168, 52376, 50880, 68151, 71528, 51025, 60390, 52800, 51831, 50880, 60507, 71528, 51309, 50935, 51175, 51257, 51204, 55562, 51233, 50451, 52376, 50884, 68151, 56883, 51831, 50883, 60507, 61807, 52376, 50883, 68151, 50883, 50935, 51111, 50872, 51337, 50456, 51831, 50880, 60507, 50880, 73360, 50458, 50885, 52063, 50885, 51233, 50459, 51831, 50880, 60507, 50880, 54983, 50897, 71536, 50939, 51178, 51827, 50971, 61297, 79171, 51257, 53892, 51686, 51128, 60390, 62016, 51132, 51091, 67386, 50885, 51233, 51606, 52011, 55562, 65942, 52376, 50883, 68151, 53336, 50939, 51095, 60390, 64729, 51831, 50880, 60507, 61135, 77735, 50872, 51178, 55562, 53910, 52376, 50809, 68151, 59474, 50885, 51177, 60390, 61521, 51831, 50880, 60507, 53939, 50885, 51337, 78126, 51257, 51003, 55562, 51328, 50427, 52376, 50883, 68151, 68016, 51831, 50883, 60507, 67515, 51111, 50430, 52376, 50883, 68151, 50883, 56371, 50872, 51542, 50431, 51831, 50821, 60507, 52686, 50885, 51221, 50434, 51132, 50855, 51831, 50880, 60507, 50880, 70386, 59381, 51596, 50827, 54486, 50829, 55156, 50878, 50436, 50939, 53813, 51132, 51661, 50850, 62663, 51055, 51752, 50864, 54486, 62384, 51831, 50883, 60507, 50883, 55156, 56714, 52671, 50870, 51596, 61118, 51831, 50880, 60507, 50880, 61999, 50885, 51101, 52671, 50891, 51752, 53674, 54486, 54305, 52522 ]
[ 0, 250, 15352, 30054, 3495, 1619, 2214, 19, 10, 3152, 2712, 6, 4246, 13305, 6, 31391, 1672, 9590, 6, 3152, 6757, 6, 3459, 8669, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 7212, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 1918, 406, 8, 272, 119, 1176, 406, 35315, 5705, 6, 8216, 7, 5, 2214, 18, 1372, 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, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50796, 54920, 50827, 50900, 52845, 50320, 51145, 50951, 51145, 51220, 51145, 51133, 51218, 58009, 62249, 56075, 51953, 51145, 51676, 51145, 52333, 67568, 51416, 68184, 51884, 51970, 54439, 73715, 51437, 52417, 51137, 58753, 51172, 50916, 51172, 50861, 51172, 51133, 55937, 51833, 50863, 54908, 61665, 71946, 50981, 51133, 51127, 54003, 57270, 51953, 50981, 51676, 59242, 51416, 63682, 51172, 50916, 51172, 50861, 51172, 60583, 50968, 71946, 51741, 50327, 57604, 51437, 55223, 51953, 50981, 51676, 50981, 52333, 58667, 51137, 51481, 50900, 51080, 50916, 67835, 65345, 52223, 50863, 54920, 63699, 51145, 50999, 51145, 51062, 51145, 51271, 51218, 58009, 56075, 51859, 51145, 51617, 51145, 51829, 67568, 51416, 51411, 51970, 51302, 51437, 52417, 51416, 51962, 50292, 51074, 51271, 55937, 51833, 50820, 54360, 73089, 61567, 51277, 50916, 51277, 50861, 51277, 51271, 51127, 54003, 57270, 51617, 55200, 51374, 50851, 51132, 52063, 51085, 53693, 50321, 50892, 58009, 60479, 51859, 54058, 51640, 61567, 50959, 67946, 62958, 50876, 54371, 51437, 55223, 52301, 54771, 51137, 53130, 50313, 60745, 55623, 57077, 52949, 50892, 54920, 64607, 51047, 65218, 50973, 51047, 51133, 51218, 58009, 56075, 55209, 51145, 53455, 51145, 53144, 67568, 51416, 60045, 50827, 61022, 58219, 51970, 53523, 50851, 64385, 50861, 54553, 51437, 52417, 51137, 61528, 50851, 64385, 59663, 51133, 55937, 51833, 50863, 54908, 67843, 50912, 70088, 62007, 50916, 58339, 50915, 51133, 51127, 54003, 57270, 55209, 50981, 53455, 59242, 51416, 63682, 51542, 50916, 51542, 50861, 51542, 51970, 59758, 58339, 67430, 56951, 51437, 55223, 55209, 50981, 53455, 50981, 53144, 58667, 51137, 51712, 50292, 73712, 52223, 50863, 54920, 50844, 50900, 50822, 63077, 57660, 74169, 67137, 67663, 51271, 51218, 58009, 56075, 55017, 51145, 54609, 51145, 52949, 67568, 51416, 51484, 50900, 51709, 50916, 51709, 50861, 51709, 51970, 51302, 51437, 52417, 51416, 50878, 50900, 65377, 58794, 50932, 51271, 55937, 51833, 50820, 54908, 51008, 50968, 50845, 51271, 51127, 54003, 57270, 51953, 55200, 51416, 51008, 51085, 53536, 50316, 50892, 58009, 60479, 52301, 54058, 51416, 50955, 50900, 50822, 63077, 57660, 50877, 54371, 51437, 55223, 52949, 54771, 51416, 64000, 60745, 52223, 62107, 54609, 50892, 54920, 50857, 51133, 51127, 58018, 52981, 51416, 60817, 51542, 50861, 51542, 50973, 51542, 50902, 51542, 51960, 51302, 51437, 52417, 51137, 51277, 50861, 75170, 50974, 57936, 59118, 53455, 50892, 54908, 64607, 50851, 59663, 64542, 60989, 50968, 50849, 51209, 50892, 51590, 50892, 51924, 50892, 51133, 51127, 54003, 55698, 53455, 50892, 53144, 50892, 51953, 55200, 51416, 71278, 64291, 51318, 50861, 51318, 50973, 51318, 50902, 51318, 51209, 50995, 51590, 50995, 51924, 50995, 51960, 50445, 53455, 50981, 53144, 50981, 51953, 50981, 51382, 51437, 52579, 51416, 59086, 50943, 51322, 50995, 51256, 50995, 51390, 60981, 52348, 58908, 55017, 50981, 54609, 50981, 51914, 50981, 53447, 60365, 51148, 78872, 50876, 51148, 50902, 51148, 51271, 51127, 58018, 53023, 51181, 51109, 50876, 51295, 51256, 51477, 51229, 51477, 51334, 51477, 51960, 50421, 54609, 51310, 52949, 51310, 52301, 51310, 51302, 51437, 52417, 51181, 54355, 51833, 52600, 51181, 67159, 53280, 51271, 51127, 54003, 52875, 51181, 59772, 57934, 51199, 51229, 50905, 58018, 59002, 52949, 54058, 51181, 51101, 50877, 63257, 50889, 51256, 50915, 51229, 50915, 51334, 56951, 51437, 55223, 54609, 50981, 52949, 50981, 52301, 58667, 51844, 50844, 50902, 55056, 52348, 50870, 54920, 50844, 50902, 51077, 50916, 51243, 50861, 51243, 50973, 51243, 50902, 51243, 51390, 51047, 51133, 51127, 58018, 57030, 51914, 67568, 51416, 50981, 60656, 57216, 50981, 63330, 57604, 51437, 52417, 51338, 51166, 57936, 50870, 54908, 50827, 50876, 50914, 51334, 50981, 51133, 51127, 54003, 57972, 52301, 59242, 51416, 50915, 51289, 52805, 50877, 50849, 51229, 50892, 57216, 57604, 51437, 55223, 52949, 54771, 51338, 50837, 51137, 59023, 51675, 51229, 51803, 50801, 52348, 58908, 52949, 51742, 53447, 60365, 51148, 78872, 50876, 51148, 50902, 51148, 51271, 51127, 58018, 53023, 51181, 50981, 60656, 55184, 50892, 55936, 56751, 51437, 52417, 51844, 51481, 55184, 51310, 55936, 51310, 57936, 52600, 51181, 63327, 53280, 51271, 51218, 54003, 52875, 51181, 62154, 51199, 58018, 53003, 51181, 59903, 50972, 55184, 50981, 55936, 57604, 51437, 52579, 51181, 67316, 50838, 51271, 55937, 52348, 50870, 54920, 64607, 51243, 50861, 51243, 50973, 51243, 50902, 51243, 51133, 51127, 58018, 52981, 51416, 50915, 60656, 50968, 50849, 51209, 50892, 51590, 50892, 51924, 56751, 51437, 55477, 53455, 50892, 53144, 50892, 51953, 54100, 51137, 51277, 50951, 50873, 52004, 50974, 57936, 59118, 51676, 50892, 54908, 66340, 50914, 52700, 50981, 51133, 51127, 54003, 55698, 51617, 59242, 51416, 50981, 61625, 50968, 50849, 51209, 50892, 51590, 50892, 51924, 56751, 51437, 55223, 53455, 50892, 53144, 50892, 51953, 54771, 51416, 59086, 50943, 51256, 50995, 51229, 50995, 51390, 60981, 52348, 58908, 54609, 50981, 52949, 50981, 51914, 50981, 53447, 60365, 51243, 50877, 51243, 50876, 51243, 50902, 51243, 51271, 51127, 58018, 53023, 51181, 59937, 51295, 51334, 51477, 51960, 50421, 52301, 51310, 51302, 51437, 52417, 51844, 51481, 57936, 52600, 51181, 50845, 51271, 51127, 54003, 52875, 51684, 63700, 75403, 50905, 58018, 59002, 52949, 54058, 51181, 61316, 50805, 51256, 50845, 51229, 50845, 51334, 54371, 51437, 55223, 54609, 50892, 52949, 50892, 52301, 54771, 51181, 76146, 75403, 65178, 56634, 57077, 52949, 50892, 54920, 64545, 51243, 50861, 51243, 50973, 51243, 50902, 51243, 51133, 51127, 58018, 53023, 51416, 51109, 60656, 57216, 51677, 50804, 51437, 52417, 51416, 55503, 51833, 50870, 54908, 60982, 50849, 51334, 50892, 51133, 51127, 54003, 57972, 52301, 55200, 51416, 68721, 50943, 51229, 50995, 51960, 50445, 52949, 50981, 51382, 51437, 52579, 51416, 59772, 51675, 51229, 51803, 50801, 52348, 58908, 52949, 51742, 53447, 67843, 51333, 51271, 51127, 58018, 53023, 51181, 62646, 51884, 51960, 56207, 51254, 55936, 56751, 51437, 52417, 51181, 60365, 51172, 69541, 67939, 69995, 55936, 51742, 57936, 52600, 51181, 50813, 51271, 51127, 54003, 52875, 51181, 59772, 60263, 51172, 69541, 67939, 69995, 51229, 54436, 51750, 59002, 52949, 55876, 59755, 51229, 69300, 52949, 54004, 51181, 51101, 50876, 50805, 51334, 54371, 51437, 55223, 52301, 54771, 51844, 60094, 56943, 56943, 56964, 57777, 50838, 51229, 65178, 56634, 57077, 52949, 50892, 54920, 64607, 51148, 70330, 50973, 51148, 50902, 51148, 51133, 51127, 58018, 52981, 51416, 50915, 60656, 50968, 50849, 51209, 50892, 51590, 50892, 51924, 56751, 51437, 55477, 53455, 50892, 53144, 50892, 51953, 54100, 51137, 51277, 50968, 75170, 50974, 51590, 50974, 51924, 50974, 57936, 59118, 53455, 50892, 53144, 50892, 51953, 50892, 54908, 59086, 51519, 50303, 53280, 51366, 50892, 51590, 50892, 51390, 50892, 51133, 51127, 54003, 55698, 55209, 50892, 53144, 50892, 51914, 55200, 51416, 68184, 51199, 50902, 50943, 51366, 50995, 51590, 50995, 51390, 50995, 51960, 50445, 55209, 50981, 53144, 50981, 51914, 50981, 56222, 57791, 51437, 52579, 51416, 59086, 55512, 50943, 51256, 50995, 51229, 50995, 51334, 60981, 52348, 58908, 54609, 50981, 52949, 50981, 52301, 50981, 53447, 50857 ]
[ 0, 250, 15352, 30054, 5175, 8, 3152, 2214, 19, 10, 1769, 20889, 9, 17445, 163, 5683, 6, 4246, 3459, 9590, 6, 21072, 6, 8, 38668, 3038, 4, 8504, 11, 5, 762, 9, 274, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 41, 20425, 8, 1372, 6711, 19, 10, 11602, 9, 1619, 4780, 4, 20, 33215, 16739, 9, 163, 428, 6, 274, 6, 8, 230, 4620, 5, 46336, 24456, 9, 42, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 50799, 51842, 51544, 50837, 51570, 59457, 62734, 50880, 51382, 53893, 56721, 51289, 50817, 54516, 51351, 50684, 50326, 51353, 50684, 50330, 51353, 50684, 50321, 52122, 63313, 51933, 51320, 65617, 61072, 52670, 58960, 51130, 52265, 51186, 50977, 63423, 51186, 50977, 52924, 53027, 51186, 50942, 60347, 51186, 50977, 58960, 51130, 56721, 50749, 50331, 51073, 50456, 51133, 50942, 51842, 50460, 50684, 50328, 52122, 50461, 50684, 50325, 51353, 52354, 51295, 64576, 51655, 52924, 64336, 52670, 58960, 51130, 52265, 50945, 50977, 51842, 53357, 50977, 52924, 53027, 50945, 50942, 51842, 57762, 50977, 58960, 51130, 52193, 50953, 50977, 51842, 52534, 51351, 64576, 51933, 52924, 57610, 50684, 50319, 55428, 69488, 52122, 50419, 62734, 77740, 61599, 62734, 54631, 58960, 51130, 52265, 50964, 50977, 51842, 56107, 50942, 52924, 53027, 50964, 50942, 51842, 50449, 63313, 59731, 50964, 50942, 58960, 51130, 52193, 50927, 50977, 51842, 50460, 50684, 50326, 51353, 50461, 72010, 50884, 53870, 50942, 72010, 50879, 51320, 53070, 51105, 50942, 72010, 52392, 51320, 52670, 51133, 50977, 64576, 53988, 51130, 52265, 51133, 50977, 64576, 50887, 63423, 52022, 50854, 50749, 50329, 53579, 50898, 53027, 52022, 50942, 50749, 50329, 53579, 50898, 52763, 51133, 50942, 64576, 53988, 51130, 52193, 51133, 71589, 57015, 50684, 50326, 51353, 50684, 50330, 51353, 50684, 50321, 52122, 54516, 51295, 52924, 57610, 63313, 51896, 51039, 52670, 58960, 51130, 52265, 51186, 50977, 63423, 51186, 50977, 52924, 53027, 51186, 50942, 60347, 51186, 50977, 58960, 51130, 56721, 50749, 50331, 68635, 51133, 50977, 51842, 50461, 50684, 50325, 51353, 50684, 50328, 52122, 52354, 51351, 64576, 51933, 52924, 64336, 52670, 58960, 51130, 52265, 50945, 50977, 51842, 53357, 50942, 52924, 53027, 50945, 50942, 51842, 57762, 50942, 58960, 51130, 56721, 63313, 51345, 50456, 50953, 50977, 51842, 52534, 51351, 69488, 52122, 52924, 57610, 50684, 50319, 52122, 64576, 51933, 51039, 52670, 58960, 51130, 52265, 50964, 50942, 51842, 56107, 50942, 52924, 53027, 50964, 50942, 60347, 50964, 50942, 63313, 51345, 58960, 51130, 52193, 50927, 50977, 51842, 53870, 51267, 50684, 50326, 55428, 72010, 50884, 72010, 50879, 52924, 53070, 72010, 52392, 52924, 52670, 51105, 50942, 64576, 53988, 51130, 52265, 51105, 50942, 64576, 55137, 52904, 51105, 50942, 50749, 50329, 53579, 51130, 53027, 51105, 50942, 50749, 50329, 53579, 51130, 52763, 51105, 50942, 64576, 53988, 51130, 52193, 51105, 50942, 64576, 50887, 51842, 53870, 50942, 72010, 50879, 52924, 53070, 51105, 50854, 72010, 51933, 52924, 52670, 51133, 50942, 64576, 53988, 51130, 52265, 51133, 50977, 64576, 55137, 52904, 52022, 50942, 50749, 50329, 53579, 51130, 53027, 52022, 50942, 50749, 50329, 53579, 53893, 51130, 52763, 51133, 50942, 64576, 54047, 51130, 52193, 51133, 54806, 51130, 50837, 53596, 51003, 51320, 65617, 61072, 52670, 51096, 50942, 58960, 51130, 52265, 51096, 50942, 63423, 51096, 50942, 50769, 50325, 53056, 51130, 53027, 51096, 50942, 62734, 50859, 60347, 51096, 50942, 50769, 50325, 53235, 53893, 51130, 52193, 75644, 62734, 51739, 50837, 52354, 51267, 52924, 64336, 52670, 50945, 50942, 58960, 51130, 52265, 50945, 50942, 51842, 53357, 50977, 52924, 53027, 50945, 50942, 51842, 57762, 50977, 50769, 50325, 53235, 53893, 51130, 52193, 50953, 50977, 62734, 51739, 50837, 52534, 51267, 52924, 64336, 52670, 50964, 50942, 58960, 51130, 52265, 50964, 50942, 51842, 56107, 50942, 52924, 53027, 50964, 50942, 60347, 50964, 50942, 58960, 51130, 52193, 50927, 50977, 51842, 53870, 51400, 52924, 64336, 52670, 51105, 50942, 58960, 51130, 52265, 51105, 50942, 63423, 51105, 50942, 52924, 53027, 51105, 50942, 60347, 51105, 50942, 58960, 51130, 52193, 50945, 50977, 51842, 53596, 51400, 52924, 64336, 52670, 51096, 50977, 58960, 51130, 52265, 51096, 50942, 50769, 50325, 51594, 52896, 51096, 50942, 62734, 52589, 51130, 53027, 51096, 50854, 50769, 50325, 51049, 52763, 51096, 50942, 62734, 53238, 53893, 51130, 52193, 50927, 50977, 50769, 50325, 51508, 50837, 52354, 51400, 52924, 64336, 52670, 50945, 50942, 58960, 51130, 52265, 50945, 50977, 51842, 53357, 50942, 52924, 53027, 63635, 51842, 57762, 50977, 50769, 50325, 53235, 53893, 51130, 52193, 50953, 50977, 51842, 52534, 51400, 62734, 53235, 51130, 64336, 52670, 50964, 50942, 58960, 51130, 52265, 50964, 50942, 51842, 56107, 50942, 52924, 53027, 50964, 50942, 60347, 50964, 50942, 58960, 51130, 52193, 50927, 50977, 51842, 53870, 51267, 52924, 64336, 52670, 51105, 50942, 58960, 51130, 52265, 51105, 50942, 63423, 51105, 50942, 52924, 53027, 51105, 50854, 60347, 51105, 50942, 58960, 51130, 52193, 50945, 50942, 51842, 53596, 51267, 51320, 57610, 51206, 61072, 52670, 51096, 50942, 58960, 51130, 52265, 51096, 50942, 50769, 50325, 50859, 63423, 51096, 50942, 62734, 53238, 51130, 53027, 51096, 50942, 50769, 50325, 51049, 52763, 51096, 50942, 62734, 51730, 53893, 51130, 52193, 50927, 50977, 50769, 50325, 51508, 50837, 52354, 51267, 52924, 53070, 62734, 51594, 52670, 50945, 50942, 58960, 51130, 52265, 50945, 50942, 51842, 53357, 50942, 52924, 53027, 50945, 50942, 51842, 57762, 50977, 58960, 51130, 52193, 50927, 50977, 51842, 52563, 51400, 52924, 64336, 52670, 50953, 50942, 58960, 51130, 52265, 50953, 50942, 50769, 50325, 51049, 52896, 50953, 50942, 62734, 52589, 51130, 53027, 50953, 50942, 50769, 50325, 51049, 52763, 50953, 50977, 62734, 53235, 53893, 51130, 52193, 75644, 51842, 53870, 51400, 50769, 50325, 53235, 51130, 64336, 52670, 51105, 50942, 58960, 51130, 52265, 51105, 50942, 63423, 51105, 50942, 52924, 53027, 51105, 50854, 60347, 51105, 50901, 58960, 51130, 52193, 50945, 50977, 51842, 53596, 51400, 52924, 64336, 52670, 51096, 50942, 58960, 51130, 52265, 51096, 50942, 63423, 51096, 50942, 50769, 50325, 53235, 51130, 53027, 51096, 50854, 62734, 50859, 60347, 51096, 50942, 50769, 50325, 53238, 53893, 51130, 52193, 75644, 62734, 51594, 50837, 52354, 51267, 52924, 64336, 52670, 50945, 50942, 58960, 51130, 52265, 50945, 50942, 51842, 53357, 50942, 52924, 53027, 63635, 51842, 57762, 50942, 50769, 50325, 53238, 53893, 51130, 52193, 69694, 62734, 51594, 50837, 52534, 51255, 52924, 64336, 52670, 50964, 50942, 58960, 51130, 52265, 50964, 50942, 51842, 56107, 53590, 51130, 53027, 50964, 50942, 60347, 50964, 53590, 53893, 51130, 52193, 75644, 51842, 53870, 50942, 72010, 53579, 51130, 53070, 51105, 50854, 72010, 53579, 51130, 52670, 51133, 50942, 64576, 53988, 51130, 52265, 51133, 50977, 64576, 55137, 52904, 52022, 50854, 50749, 50329, 53579, 51130, 53027, 52022, 50942, 50749, 50329, 53579, 51130, 52763, 51133, 50942, 64576, 54047, 51130, 52193, 51133, 50854, 51842, 53596, 50839, 51096, 51267, 51320, 65617, 61072, 52670, 51096, 50942, 58960, 51130, 52265, 51096, 50942, 50769, 50325, 51508, 52896, 51096, 50942, 62734, 53238, 51130, 53027, 51096, 50942, 50769, 50325, 51049, 52763, 51096, 50942, 62734, 52589, 53893, 51130, 52193, 50927, 50854, 50769, 50325, 51508, 50837, 52354, 51267, 52924, 64336, 52670, 50945, 50942, 58960, 51130, 52265, 50945, 50942, 51842, 53357, 50942, 52924, 53027, 50945, 50942, 51842, 57762, 50942, 58960, 51130, 52193, 50927, 50977, 51842, 52534, 51400, 52924, 64336, 52670, 50964, 50942, 58960, 51130, 52265, 50964, 50942, 62734, 51049 ]
[ 0, 250, 15352, 30054, 5175, 1619, 2214, 19, 10, 7212, 20889, 6, 4246, 10, 6755, 12547, 6, 18558, 6, 21072, 6, 3459, 8669, 6, 8, 13305, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 428, 538, 8, 3905, 10, 33215, 16739, 9, 163, 428, 6, 274, 6, 12608, 6, 8, 274, 401, 4, 590, 63, 33558, 8, 19448, 5466, 6, 42, 2214, 19369, 5, 12298, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50799, 51960, 51544, 79932, 53003, 51960, 50799, 51960, 51544, 52904, 51182, 50914, 51772, 51237, 51209, 51237, 52623, 50915, 51555, 58141, 52060, 52743, 51394, 50914, 51209, 51237, 51408, 51237, 51555, 50995, 51722, 50943, 51224, 53217, 51326, 50825, 50799, 51811, 51486, 51105, 50833, 51209, 51761, 52031, 51761, 51555, 51295, 52184, 51364, 53804, 62249, 50870, 51436, 50840, 51513, 52944, 51105, 50937, 75897, 50979, 50807, 57706, 53740, 50928, 51436, 50839, 51513, 58092, 50939, 51048, 50423, 51070, 53098, 51096, 50873, 62544, 51750, 50839, 51436, 69007, 53031, 51105, 54703, 51048, 50979, 50807, 51209, 51012, 52031, 51012, 51555, 50901, 52184, 50879, 57706, 53740, 50928, 51436, 50840, 51513, 62089, 50939, 51048, 50435, 51070, 54114, 51209, 51237, 52031, 51237, 51555, 51003, 52184, 51013, 53804, 50820, 51436, 51000, 51513, 53858, 51105, 54703, 51048, 50979, 50807, 53781, 53740, 50928, 51436, 50857, 51513, 60073, 50939, 51048, 60926, 53430, 51384, 50849, 51096, 50873, 51256, 51012, 51390, 51012, 51783, 50901, 51612, 50879, 62544, 51750, 50839, 51436, 50971, 51513, 55835, 51690, 50914, 50964, 54703, 51048, 50939, 51048, 50979, 50807, 51674, 51237, 51893, 51237, 51986, 51003, 52037, 51013, 54530, 53740, 50928, 51436, 50862, 51513, 57400, 69603, 53870, 53632, 70053, 51436, 51004, 51513, 54605, 51811, 51591, 51105, 50937, 75897, 50979, 50807, 51209, 51761, 52031, 51761, 51555, 51295, 52184, 51364, 57706, 53740, 50928, 58904, 51513, 65643, 50939, 51048, 50423, 51070, 53098, 51096, 50873, 62544, 51750, 50839, 51436, 50870, 51513, 53196, 51105, 54703, 51048, 50979, 50807, 57706, 53740, 50928, 51436, 50857, 51513, 64938, 50939, 51048, 50435, 51070, 54114, 51209, 51237, 52031, 51237, 51555, 51003, 52184, 51013, 53804, 50820, 51436, 51126, 51513, 53384, 51105, 54703, 51048, 50979, 50807, 53781, 53740, 50928, 51436, 50857, 51513, 65079, 50939, 51048, 60926, 53430, 51384, 50849, 51096, 50873, 51256, 51012, 51390, 51012, 51783, 50901, 51612, 50879, 62544, 51750, 50839, 51436, 50971, 51513, 53007, 51690, 51103, 50964, 54703, 51048, 50979, 50807, 51674, 51870, 51893, 51870, 51986, 51183, 52037, 51336, 54530, 53740, 50928, 51436, 50862, 51513, 61242, 50939, 51048, 50459, 69603, 53870, 53632, 75748, 51436, 51128, 51513, 54183, 51105, 50937, 75897, 50979, 50807, 54164, 53740, 50928, 51436, 50857, 51513, 65643, 50939, 51048, 50423, 51070, 53098, 51096, 50873, 62544, 51750, 50839, 51436, 50971, 51513, 53196, 51811, 51189, 51105, 54703, 51048, 50979, 50807, 51209, 51012, 52031, 51012, 51555, 50901, 52184, 50879, 54164, 53740, 50928, 51436, 50857, 51513, 65312, 50939, 51048, 50435, 51070, 54114, 51209, 51237, 52031, 51237, 51555, 51003, 52184, 51013, 53804, 50829, 51436, 50982, 51513, 54189, 51105, 54703, 51048, 50979, 50807, 54164, 53977, 50928, 51436, 50867, 51513, 63381, 50939, 51048, 60926, 53430, 51304, 50849, 51096, 50873, 51772, 51012, 51334, 51012, 52623, 50901, 51567, 50879, 62544, 51750, 50839, 51436, 50971, 51513, 53556, 51384, 51591, 50964, 50937, 75897, 50939, 51048, 50979, 50807, 51256, 52827, 51390, 52827, 51783, 51790, 51612, 51896, 60227, 53977, 50928, 51436, 50857, 51513, 57400, 69603, 53596, 53632, 70053, 51425, 50857, 51436, 54213, 51096, 50937, 50872, 76800, 50807, 57706, 53740, 50928, 51425, 50810, 58904, 50421, 50939, 51048, 50423, 51070, 53098, 70043, 62544, 51750, 50839, 51425, 51319, 51436, 56761, 51096, 55664, 76800, 50807, 57706, 53740, 50928, 51425, 50822, 58904, 50433, 50939, 51048, 50435, 51070, 54114, 51629, 50914, 51256, 51237, 51674, 51237, 51783, 51003, 51986, 51013, 53804, 50820, 51425, 50863, 51436, 53858, 51096, 55664, 76800, 50807, 53781, 53740, 50928, 51425, 50822, 51436, 65079, 50939, 51048, 60926, 53430, 51394, 50914, 50927, 75170, 51237, 51408, 51237, 51555, 51003, 51722, 51013, 62544, 51750, 50839, 73381, 51436, 53217, 70043, 50872, 76800, 50807, 54530, 53740, 50928, 51425, 50822, 58904, 50457, 50939, 51048, 50459, 69603, 50799, 51384, 51486, 51096, 50833, 51408, 51761, 51390, 51761, 51722, 51295, 51612, 51364, 53804, 50820, 51425, 75822, 55650, 51096, 55664, 76800, 50807, 54164, 53740, 50928, 51425, 50844, 51436, 63630, 50939, 51048, 50423, 51070, 53098, 70043, 62544, 51750, 50839, 51425, 53814, 51096, 55664, 76800, 50807, 51408, 51012, 51390, 51012, 51722, 50901, 51612, 50879, 54164, 53740, 50928, 77601, 51436, 65312, 50939, 51048, 50435, 51070, 54114, 51408, 51237, 51390, 51237, 51722, 51003, 51612, 51013, 53804, 50829, 51425, 57522, 51096, 55664, 76800, 50807, 54164, 53977, 50928, 51425, 50857, 58904, 50445, 50939, 51048, 60926, 53430, 51304, 50849, 50927, 50937, 51674, 51012, 51334, 51012, 51986, 50901, 51567, 50879, 62544, 51750, 50839, 51425, 50971, 51436, 54038, 51811, 50914, 70043, 50872, 51048, 50939, 76800, 50807, 51334, 51237, 52031, 51237, 51567, 51003, 52184, 51013, 60227, 53977, 50928, 51425, 50851, 51436, 56573, 69603, 53596, 53632, 51187, 53203, 51384, 51591, 51096, 55664, 76800, 50807, 51408, 51761, 51390, 51761, 51722, 51295, 51612, 51364, 57706, 53740, 50928, 51425, 50971, 51436, 73122, 50939, 51048, 50423, 51070, 53098, 70043, 62544, 51750, 52925, 51096, 55664, 76800, 50807, 57706, 53740, 50928, 77601, 51436, 64938, 50939, 51048, 50435, 51070, 54114, 51408, 51237, 51390, 51237, 51722, 51003, 51612, 51013, 53804, 52616, 51096, 55664, 76800, 50807, 53781, 53740, 50928, 74748, 51436, 59843, 50939, 51048, 60926, 53430, 51304, 50849, 50927, 50937, 51674, 51012, 51334, 51012, 51986, 50901, 51567, 50879, 62544, 51750, 50839, 51425, 60325, 51811, 51103, 50945, 55664, 76800, 50807, 51334, 50950, 52031, 51870, 51567, 51183, 52184, 51336, 54530, 53740, 50928, 51425, 50822, 51436, 67321, 50939, 51048, 50459, 69603, 53596, 53632, 51187, 52761, 51096, 50937, 50872, 76800, 50807, 54164, 53740, 50928, 51425, 50857, 51436, 57404, 50939, 51048, 50423, 51070, 53098, 70043, 62544, 51750, 52925, 51384, 50849, 51096, 55664, 76800, 50807, 51408, 51012, 51390, 51012, 51722, 50901, 51612, 50879, 54164, 53740, 50928, 51425, 50844, 51436, 62089, 50939, 51048, 50435, 51070, 54114, 51304, 50914, 51674, 51237, 51334, 51237, 51986, 51003, 51567, 51013, 53804, 50829, 51425, 57536, 51096, 55664, 76800, 50807, 54164, 53977, 50928, 51425, 50844, 51436, 64684, 50939, 51048, 60926, 53430, 51384, 50914, 75908, 51408, 51237, 51390, 51237, 51722, 51003, 51612, 51013, 62544, 51750, 53268, 70943, 50872, 51048, 50939, 76800, 50807, 60227, 53977, 50928, 51425, 50857, 51436, 57490, 69603, 50799, 51811, 51307, 51105, 50833, 51209, 52379, 51408, 52379, 51555, 51353, 52184, 51655, 53804, 53203, 51105, 50937, 75897, 50979, 50807, 57706, 53740, 50928, 51436, 50857, 51513, 73122, 50939, 51048, 50423, 51070, 53098, 51096, 50873, 62544, 51750, 52925, 51105, 54703, 51048, 50979, 50807, 57706, 53740, 50928, 51436, 50886, 51513, 65312, 50939, 51048, 50435, 69603, 51450, 75748, 51436, 50908, 51513, 53384, 51105, 50937, 75897, 50979, 50807, 53781, 53740, 50928, 58904, 51513, 65804, 50939, 51048, 60926, 53430, 51096, 50873, 62218, 51730, 54212, 51750, 50839, 51436, 50870, 51513, 56782, 60468, 51754, 50964, 54703, 51048, 50979, 50807, 64243, 51049, 52275, 53740, 50928, 51436, 50857, 51513, 62516, 50939, 51048, 50459, 59570, 55237, 50928, 53870 ]
[ 0, 4688, 5175, 25771, 2214, 19, 10, 980, 219, 8, 9066, 16464, 6, 4246, 38668, 18569, 6, 6755, 12547, 6, 8, 38668, 3038, 6, 2800, 30, 21072, 8, 12577, 12167, 4428, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 10, 33215, 16739, 9, 211, 6, 3676, 406, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50422, 53460, 51801, 53278, 51801, 52507, 51801, 52684, 51801, 57756, 51801, 54776, 52829, 53494, 52829, 54426, 52829, 54045, 52829, 55205, 52829, 51288, 52829, 51634, 52829, 52294, 52829, 52375, 52829, 52874, 52829, 50796, 50458, 53797, 50860, 50680, 50277, 50880, 55314, 52024, 69488, 52442, 58130, 54991, 56336, 52024, 54707, 51717, 50460, 57756, 52122, 50461, 52684, 52024, 51601, 53465, 52024, 50416, 50680, 50277, 51864, 53576, 50684, 50335, 52442, 50422, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 51864, 58892, 53797, 50860, 50680, 50277, 53662, 51805, 50834, 51809, 50680, 50277, 51864, 60170, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 50880, 54008, 52024, 52112, 50453, 52507, 52024, 54997, 52337, 50454, 56336, 52024, 50455, 53679, 52024, 50458, 53797, 50860, 50680, 50277, 53662, 51805, 50834, 51809, 50680, 50277, 51864, 60170, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 51864, 58892, 53797, 50860, 50680, 50277, 53662, 51805, 50834, 51809, 50680, 50277, 51864, 60170, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 51864, 58892, 53797, 50860, 50680, 50277, 50880, 53465, 52024, 58130, 54991, 56336, 52024, 54707, 51717, 50460, 52684, 52024, 50773, 50333, 52062, 50461, 55314, 52024, 51809, 50680, 50277, 51864, 60170, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 51864, 58892, 53797, 50860, 50680, 50277, 53662, 51805, 50834, 51809, 50680, 50277, 51864, 60170, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 50880, 54008, 52024, 56336, 52024, 54997, 52337, 52112, 50453, 52507, 52024, 50455, 53679, 52024, 50456, 50778, 50285, 51300, 50458, 53797, 50860, 50680, 50277, 53662, 51805, 50834, 51809, 50680, 50277, 51864, 63672, 51946, 52442, 50419, 53883, 52442, 50422, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 51864, 58892, 53797, 50860, 50680, 50277, 53662, 51805, 50834, 51809, 50680, 50277, 51864, 55927, 51284, 51060, 50422, 53797, 50860, 50680, 50277, 53662, 51805, 54316, 51182, 51178, 50428, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 51864, 58892, 53797, 50860, 50680, 50277, 50930, 52684, 53002, 53465, 53002, 56336, 53002, 53215, 51732, 51883, 52570, 51113, 51801, 51093, 51801, 51266, 51801, 51935, 51005, 50823, 73148, 50778, 50273, 52570, 51809, 50680, 50277, 50930, 52509, 50846, 52754, 50818, 53619, 50818, 54410, 51187, 56493, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50428, 50680, 50277, 50930, 52509, 50846, 52754, 50884, 53619, 50818, 54410, 51239, 56999, 52754, 59347, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50440, 50680, 50277, 50930, 52509, 50828, 52754, 50884, 53619, 50846, 54410, 51467, 58431, 52509, 50828, 52754, 50818, 53619, 50818, 54410, 58275, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50452, 50680, 50277, 50930, 52509, 50818, 52754, 50818, 53619, 50841, 54410, 51187, 56637, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 51809, 50680, 50277, 50930, 52509, 50818, 52754, 50883, 53619, 50895, 54410, 51406, 56493, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50428, 50680, 50277, 50930, 52509, 50828, 52754, 50895, 53619, 50846, 54410, 51187, 56859, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50440, 50680, 50277, 50930, 52509, 50884, 52754, 50883, 53619, 50895, 54410, 51187, 58431, 52509, 50841, 52754, 50818, 53619, 50841, 54410, 55685, 53797, 50860, 50680, 50277, 50930, 52509, 50839, 52754, 50884, 53619, 50846, 54410, 53756, 50823, 51762, 50449, 52509, 50841, 52754, 50895, 53619, 50884, 54410, 61425, 50680, 50277, 50930, 52509, 50846, 52754, 50961, 53619, 50895, 54410, 55280, 50458, 53797, 50860, 50680, 50277, 50930, 52507, 53002, 54008, 53002, 53679, 53002, 56336, 53002, 53215, 51732, 51883, 52570, 51088, 51801, 51357, 51801, 51107, 51801, 50798, 50823, 51762, 51809, 50680, 50277, 50930, 53298, 50884, 52754, 50818, 53293, 50818, 54410, 51239, 56493, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50428, 50680, 50277, 50930, 53298, 50895, 52754, 50895, 53293, 50884, 54410, 55280, 50434, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50440, 50680, 50277, 50930, 53298, 50846, 52754, 50818, 53293, 50818, 54410, 51187, 58431, 53298, 50818, 52754, 50884, 53293, 50846, 54410, 57854, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50452, 50680, 50277, 50930, 53298, 50829, 52754, 50820, 53293, 50834, 54410, 51464, 56637, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 51809, 50680, 50277, 50930, 53298, 50828, 52754, 50841, 53293, 50839, 54410, 51467, 56493, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50428, 50680, 50277, 50930, 53298, 50846, 52754, 50818, 53293, 50818, 54410, 51187, 56859, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50440, 50680, 50277, 50930, 53298, 50818, 52754, 50895, 53293, 50818, 54410, 51187, 58431, 53298, 50846, 52754, 50846, 53293, 50828, 54410, 59673, 53797, 50860, 50680, 50277, 50930, 53298, 50828, 52754, 50884, 53293, 50828, 54410, 53852, 50823, 51762, 50449, 53298, 50828, 52754, 50818, 53293, 50846, 54410, 61425, 50680, 50277, 50930, 53298, 50828, 52754, 50884, 53293, 50818, 54410, 51239, 56637, 53797, 50860, 50680, 50277, 50930, 52684, 53002, 53465, 53002, 56336, 53002, 53215, 51732, 51883, 52570, 51113, 51801, 51093, 51801, 51266, 51801, 51935, 51005, 50823, 73148, 50778, 50273, 52570, 51809, 50680, 50277, 50930, 52509, 50846, 52754, 50818, 53619, 50818, 54410, 51187, 56493, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50428, 50680, 50277, 50930, 52509, 50846, 52754, 50884, 53619, 50818, 54410, 51239, 56999, 52754, 59347, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50440, 50680, 50277, 50930, 52509, 50828, 52754, 50884, 53619, 50846, 54410, 51467, 58431, 52509, 50828, 52754, 50818, 53619, 50818, 54410, 58275, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50452, 50680, 50277, 50930, 52509, 50818, 52754, 50818, 53619, 50841, 54410, 51187, 56637, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 51809, 50680, 50277, 50930, 52509, 50818, 52754 ]
[ 0, 250, 251, 2125, 9, 5175, 8, 19834, 930, 14, 7630, 6568, 10, 1619, 8, 822, 12, 3341, 5466, 4, 20, 13305, 8, 21979, 8669, 310, 5, 1049, 34879, 6, 7513, 30, 10, 6755, 12547, 6, 23338, 33518, 1264, 6, 8, 21072, 4, 20, 2125, 16, 11, 83, 3694, 6, 19, 10, 5705, 16331, 33215, 16739, 9, 1918, 6, 3676, 6, 274, 6, 8, 272, 4, 85, 11498, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 1328, 6, 2351, 10, 19448, 8, 11653, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52177, 51339, 53244, 51487, 58607, 51062, 51333, 50433, 51339, 51025, 50434, 51701, 52431, 51716, 52783, 52547, 52783, 51814, 51233, 50871, 51310, 50442, 76587, 50451, 63095, 71593, 52357, 72070, 51814, 50818, 52591, 51678, 52431, 51716, 52916, 52295, 51592, 51062, 51109, 51487, 51312, 50916, 51318, 50428, 71477, 50437, 51339, 71506, 51309, 50446, 51430, 53938, 50999, 51576, 50452, 51146, 51233, 50454, 51701, 52168, 52009, 52168, 52547, 55776, 51339, 51101, 50899, 51318, 51601, 71717, 51430, 74152, 51212, 50423, 51146, 60762, 53513, 51062, 63608, 51701, 54573, 51716, 53866, 52295, 51939, 77549, 50999, 51095, 51027, 51148, 50449, 50877, 51109, 50457, 70178, 52478, 51062, 64997, 50999, 57499, 51678, 60237, 52072, 55086, 52009, 51939, 50951, 51514, 50326, 51110, 50861, 51448, 50435, 73054, 50443, 69784, 50951, 51008, 50452, 51814, 59107, 51678, 52140, 51716, 52140, 52295, 52528, 51487, 51100, 51062, 51110, 72543, 50951, 51363, 50900, 51134, 55753, 50861, 50892, 50430, 51339, 63835, 53913, 51430, 62384, 51339, 64524, 51430, 64684, 51339, 56453, 51701, 57771, 52009, 53849, 52547, 55392, 50931, 51741, 50330, 51191, 50899, 51397, 50455, 50877, 51255, 51809, 50902, 50866, 50424, 69915, 50433, 50931, 52555, 51339, 56388, 51487, 50809, 51601, 51062, 51333, 50417, 51339, 51025, 50419, 51701, 52431, 51716, 53486, 52547, 53866, 51814, 51233, 50871, 51391, 57707, 55941, 63135, 76587, 57707, 52256, 50436, 71593, 52357, 50833, 50931, 69877, 51814, 53545, 51678, 52431, 51716, 52528, 52295, 52168, 51062, 51109, 51487, 51312, 50916, 51318, 52819, 61561, 71477, 56020, 51339, 71506, 51309, 50430, 51430, 56000, 50999, 51576, 50437, 51146, 51233, 50439, 51701, 52980, 52009, 51939, 52547, 52916, 51339, 51101, 50899, 51419, 51224, 63956, 71717, 51430, 74152, 51212, 51224, 60004, 51146, 60762, 50844, 51809, 51062, 59066, 51701, 51592, 51716, 52916, 52295, 52140, 77549, 50999, 51095, 51027, 51148, 51070, 59399, 51070, 70301, 50877, 51109, 51070, 52134, 50442, 70178, 51889, 53688, 50999, 67230, 51062, 66376, 52072, 51592, 52009, 51680, 52547, 51592, 50997, 51242, 73124, 51081, 51178, 51146, 51043, 57707, 55941, 50855, 52591, 63156, 57707, 52256, 50428, 50902, 66156, 76637, 59693, 51339, 61189, 51678, 52140, 51716, 53866, 52295, 52431, 74242, 51062, 50897, 51430, 50897, 50900, 51177, 52819, 65556, 51146, 63835, 50844, 57289, 51682, 50332, 60851, 51146, 61158, 51430, 69150, 51146, 60171, 51062, 61721, 51701, 53849, 52009, 53849, 52547, 55392, 50931, 51411, 51146, 51267, 50899, 51535, 51224, 67203, 79725, 51224, 51123, 50448, 66557, 50457, 50968, 50942, 52177, 50931, 57047, 62488, 51070, 57051, 51070, 52134, 50434, 51889, 64703, 52235, 51336, 51701, 54249, 52009, 55392, 52547, 57771, 50899, 51203, 57707, 55941, 61780, 50877, 50845, 57707, 52256, 52591, 50902, 57544, 52235, 50967, 50968, 59577, 56176, 51364, 50931, 52406, 50614, 65556, 56185, 50991, 51339, 50800, 51601, 56176, 50967, 50424, 56185, 50918, 51701, 52826, 51716, 55392, 52295, 53478, 51027, 50844, 71579, 50999, 51233, 51430, 51400, 51224, 53705, 70584, 51224, 51123, 50441, 50877, 51337, 50449, 53727, 50991, 50902, 78697, 53085, 50918, 77936, 51062, 62483, 50904, 50799, 51070, 51128, 50418, 51070, 52134, 50427, 51889, 55782, 53085, 67367, 53727, 50918, 52072, 54573, 52009, 51939, 52547, 52528, 50997, 51337, 51146, 51295, 57707, 55941, 70834, 50871, 50901, 57707, 52256, 50461, 63199, 55753, 53727, 51215, 51146, 59545, 53085, 50983, 51678, 51662, 51716, 52980, 52295, 52140, 50900, 51255, 51062, 51189, 52819, 53980, 66180, 50447, 53016, 51191, 50968, 52863, 50951, 73978, 50830, 51809, 52235, 53259, 51701, 53413, 52009, 53413, 52547, 53413, 75248, 50999, 79628, 52151, 51224, 61880, 50877, 51295, 51224, 51123, 50433, 73754, 50442, 50968, 75926, 50931, 61119, 66663, 51070, 71439, 51070, 52134, 53069, 51889, 61300, 52235, 51077, 51701, 53478, 52009, 53849, 52547, 56004, 50931, 51480, 50999, 51542, 50899, 51671, 57707, 55941, 62885, 50877, 51400, 57707, 52256, 50453, 50902, 51203, 50799, 56176, 50967, 50999, 52434, 50332, 74506, 56176, 51364, 51339, 52757, 50614, 67941, 58605, 50967, 51146, 63956, 61475, 58760, 56185, 51103, 51701, 52826, 51716, 57598, 52295, 53849, 50999, 51712, 50328, 51101, 51430, 51337, 51027, 52140, 51224, 50857, 52177, 50916, 52378, 51224, 51123, 79143, 73308, 53727, 50991, 50902, 64480, 53085, 51141, 50968, 50925, 51070, 57291, 51070, 51128, 50451, 51070, 52134, 50460, 52235, 51110, 51889, 50840, 52591, 53085, 51095, 51062, 50849, 50428, 53727, 51472, 52072, 52140, 52009, 52140, 52547, 52140, 50997, 51233, 51146, 51318, 50931, 51318, 57707, 55941, 59921, 50871, 51194, 57707, 52256, 50446, 64062, 50454, 56176, 50967, 50931, 51682, 50330, 50862, 51601, 56185, 51110, 51678, 51592, 51716, 53866, 52295, 52980, 50968, 51419, 51062, 51391, 50900, 51627, 52819, 56037, 53727, 66332, 62118, 56185, 64715, 62657, 53727, 50925, 50440, 53085, 51116, 50951, 69283, 61495, 53727, 51307, 51701, 53849, 52009, 53849, 52547, 55392, 50931, 51480, 51146, 79628, 52431, 51224, 64853, 50877, 51411, 51224, 51123, 52478, 50902, 53049, 50968, 66859, 50931, 50838, 51070, 70639, 51070, 51128, 50443, 51070, 52134, 50452, 51120, 62821, 61666, 62963, 50907, 58398, 51171, 51221, 51889, 61630, 72917, 50968, 51100, 51315, 51043, 50916, 52059, 50951, 51233, 51217, 51178, 55753, 52235, 50918, 51701, 53849, 51716, 55174, 52547, 53849, 70179, 78016, 50999, 51619, 50297, 51351, 51164, 53363, 57707, 55941, 61218, 50900, 51337, 50885, 51097, 57707, 52256, 57019, 62764, 51452, 50446, 52235, 51116, 50861, 57847, 52151, 50455, 53085, 51189, 50877, 51309, 50876, 51423, 73124, 50850, 51161, 52819, 50886, 60212, 52235, 51095, 59725, 50999, 50952, 50872, 51419, 50432, 53085, 50967, 50951, 57108, 53727, 51077, 51701, 57598, 51716, 55392, 52295, 53849, 51279, 50854, 51027, 51051, 72917, 50877, 52059, 50968, 51233, 51688, 54143, 51224, 54086, 50916, 51162, 50946, 54143, 51224, 51123, 50458, 80239, 50868, 51790, 53069, 53085, 51060, 50876, 50864, 50885, 51803, 50427, 53085, 63831, 51210, 50968, 66956, 64233, 51233, 51027, 52598, 50850, 51538, 51070, 54854, 51070, 51128, 50436, 51070, 76373, 56928, 64645, 50868, 51477, 51889, 58045, 50968, 62210, 60326, 50461, 53085, 50889, 52072, 52431, 52009, 52140, 52547, 52916, 51234, 51233, 50906, 52188, 50902, 51162, 50931, 51480, 52021, 51803, 57707, 55941, 50855, 56020, 50997, 67145, 52168, 57707, 52256, 50426, 53727, 50914, 50430, 50899, 51177, 50872, 51189, 50439, 53085, 51095, 50871, 50829, 66695, 50848, 51337, 50447, 53085, 51218, 51678, 51592, 51716, 52916, 52295, 51939, 50861, 68038, 51481, 75023, 50968, 51194, 51085, 51310, 51332, 51692, 52819, 55370, 63207, 50885, 51244, 51809, 53016, 51189, 57846, 59725, 50861, 57945, 57486, 51204, 50425, 50876, 58131, 77313, 52235, 51307, 51701, 53849, 52009, 53413, 52547, 53849, 51120, 51412, 50877, 52188, 73895, 50931, 51480, 51171, 52644, 51224, 63397, 51027, 51233, 50946, 53233, 51224, 59038, 50877, 76376, 79449, 56144, 51151, 50459, 50968, 61980, 67742, 52222, 52591, 50877, 51411, 50931, 51351, 50850, 51486, 51070, 63366, 51070, 51128, 50428, 51070, 52134, 50436, 51889, 61348, 51760, 51077, 51678, 52826, 52072, 53849, 52009, 53413, 51026, 51312 ]
[ 0, 713, 8787, 5175, 2125, 6, 30291, 19, 4785, 9, 3495, 6, 30853, 23, 10, 38451, 3938, 20889, 11, 5, 762, 9, 274, 538, 4, 660, 21979, 8669, 1239, 5, 483, 6, 2800, 30, 10, 6755, 12547, 6, 38668, 3038, 6, 21979, 9590, 6, 8, 21072, 4, 13231, 5, 15229, 6, 10, 16331, 33215, 16739, 9, 274, 6, 163, 428, 6, 230, 6, 274, 6, 8, 163, 428, 31473, 10, 1472, 9, 31657, 8, 30234, 4, 2265, 16364, 19, 15352, 30054, 16426, 6, 5, 2125, 7630, 6568, 10, 25306, 5466, 6, 45552, 6074, 12049, 9, 657, 8, 1007, 150, 6780, 10, 19448, 223, 28311, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 54021, 51134, 51064, 50879, 50970, 51637, 53271, 52263, 52735, 51469, 52886, 51469, 53718, 51469, 54855, 51469, 53620, 51469, 54037, 71062, 51397, 54407, 50418, 54407, 50419, 51064, 52034, 50420, 50970, 50879, 50422, 51067, 51254, 54722, 50426, 51438, 50955, 51064, 50879, 50903, 51551, 50791, 51033, 50430, 51067, 51108, 54407, 50432, 51032, 50893, 50434, 54021, 50862, 51064, 54788, 51210, 54722, 50437, 53271, 67608, 54021, 51295, 51067, 54187, 69601, 68563, 50970, 51477, 50442, 52653, 50443, 51064, 51412, 50444, 51032, 50893, 50446, 51067, 51174, 54722, 50450, 51438, 50942, 60848, 50903, 57838, 60278, 54407, 50455, 51067, 63234, 55784, 50458, 54021, 50809, 70753, 52653, 60653, 51115, 51064, 51965, 50929, 51274, 51064, 51274, 52562, 51447, 52735, 51196, 54339, 51196, 54307, 51196, 54855, 51196, 57364, 51196, 54318, 69831, 51397, 54407, 50418, 51549, 51412, 54407, 50422, 51563, 50972, 54722, 50426, 53019, 50878, 50903, 51551, 50791, 51033, 50430, 51563, 50972, 54407, 50432, 50947, 51685, 51032, 51685, 50434, 51930, 50840, 51549, 53835, 51210, 54722, 50438, 51793, 51115, 50970, 51965, 51504, 51447, 52036, 51356, 52430, 51356, 52626, 51356, 55431, 51356, 54646, 51356, 53605, 65506, 69601, 63792, 76425, 52653, 50446, 51032, 50972, 54722, 50450, 51438, 50878, 50903, 57838, 60278, 51032, 50972, 54407, 50458, 51793, 50840, 50947, 51589, 50959, 50799, 54021, 51134, 51064, 50893, 50970, 51318, 52735, 51696, 52886, 51696, 53718, 51696, 54855, 51696, 53620, 51696, 54037, 51696, 50798, 51397, 54407, 50418, 51064, 51852, 54407, 50420, 50970, 50879, 50422, 51067, 52782, 54722, 50426, 63139, 51438, 77461, 51551, 50791, 51033, 50430, 51067, 51852, 54407, 50432, 51032, 57775, 54021, 50862, 51064, 63834, 51210, 54722, 50438, 54021, 51295, 62978, 50970, 51961, 53271, 52598, 50798, 69601, 63792, 52653, 50443, 51064, 51852, 50444, 51032, 59830, 54722, 50447, 51067, 67042, 51064, 57429, 57838, 67098, 51438, 50978, 50454, 51067, 50959, 54407, 50456, 57304, 50458, 54021, 51421, 67419, 51064, 50867, 60653, 51115, 51136, 50879, 50929, 50879, 51064, 51965, 52562, 51447, 52735, 51196, 54339, 51196, 54307, 51196, 54855, 51196, 57364, 51196, 54318, 69831, 51397, 54407, 50418, 51549, 51412, 54407, 50420, 50970, 50879, 50947, 50879, 50422, 51563, 50972, 54722, 50426, 53019, 50878, 50929, 50879, 51064, 50879, 50903, 51551, 50791, 51033, 50430, 51563, 50972, 54407, 50432, 50970, 51685, 50947, 51685, 50434, 51930, 50840, 51549, 53835, 51210, 54722, 50438, 51793, 51115, 50970, 51965, 51504, 51447, 52036, 51551, 52430, 51551, 52626, 51551, 55431, 51551, 54646, 51551, 53605, 51551, 50798, 69601, 63792, 76425, 52653, 50446, 51032, 50972, 54722, 50450, 51438, 50878, 50903, 57838, 60278, 51032, 50972, 54407, 50458, 51793, 50840, 50947, 51589, 50959, 50799, 54021, 51134, 51064, 50893, 50970, 51318, 52735, 52017, 52886, 52017, 53718, 52017, 54855, 52017, 53620, 52017, 54037, 52017, 50798, 51397, 54407, 50418, 51064, 51852, 54407, 50420, 50970, 50893, 50422, 51067, 52782, 54722, 50426, 51064, 50893, 51438, 77461, 51551, 50791, 51033, 50430, 51067, 51852, 54407, 50432, 51032, 50893, 50434, 54021, 50862, 51064, 63834, 51210, 54722, 50438, 54021, 51295, 51067, 50893, 50970, 51961, 53271, 52598, 50798, 69601, 63792, 52653, 50443, 51064, 51852, 50444, 51032, 50893, 50446, 54722, 50447, 51067, 67042, 51064, 67664, 57838, 67098, 51438, 50978, 50454, 51067, 50959, 54407, 50456, 50947, 75642, 54021, 51421, 67419, 51064, 50867, 60653, 51115, 52562, 51108, 50929, 51343, 51064, 51477, 51064, 51343, 72187, 52598, 52735, 51336, 54339, 51336, 54307, 51336, 54855, 51336, 57364, 51336, 54318, 74903, 51397, 54407, 50418, 51549, 51645, 54407, 50422, 51563, 51051, 54722, 50426, 53019, 70571, 51551, 50791, 51033, 50430, 51563, 51481, 54407, 50432, 52562, 50959, 50947, 51685, 51032, 51685, 50434, 51930, 50840, 51064, 53590, 51210, 54722, 50438, 51793, 51115, 50970, 51965, 51504, 51447, 52036, 51336, 52430, 51336, 52626, 51336, 55431, 51336, 54646, 51336, 53605, 74903, 69601, 63792, 76425, 52653, 50446, 51032, 50972, 54722, 50450, 51438, 50878, 50903, 57838, 60278, 51032, 50972, 54407, 50458, 51793, 50840, 50947, 51589, 50959, 50799, 54021, 51134, 51064, 50893, 50970, 51318, 52735, 51655, 52886, 51655, 53718, 51655, 54855, 51655, 53620, 51655, 54037, 51655, 50798, 51397, 54407, 50418, 51064, 51852, 54407, 50420, 50970, 50893, 50422, 51067, 52782, 54722, 50426, 51064, 50893, 51438, 77461, 51551, 50791, 51033, 50430, 51067, 51852, 54407, 50432, 51032, 50893, 50434, 54021, 50862, 51064, 63834, 51210, 54722, 50438, 54021, 51295, 51067, 50893, 50970, 51961, 53271, 52598, 50798, 69601, 63792, 52653, 50443, 51064, 51852, 50444, 51032, 50893, 50446, 54722, 50447, 51067, 67042, 51064, 67664, 57838, 67098, 51438, 50978, 50454, 51067, 50959, 54407, 50456, 50947, 75642, 54021, 51421, 67419, 51064, 50867, 60653, 51115, 51136, 50893, 50929, 50893, 52562, 51108, 51064, 51477, 72187, 52598, 52735, 51336, 54339, 51336, 54307, 51336, 54855, 51336, 57364, 51336, 54318, 74903, 51397, 54407, 50418, 51549, 51645, 54407, 50420, 50970, 50893, 50947, 50893, 50422, 51563, 51051, 54722, 50426, 53019, 50866, 50929, 50893, 51064, 67664, 51551, 50791, 51033, 50430, 51563, 51481, 54407, 50432, 52562, 50959, 50970, 51896, 50947, 51896, 50434, 51930, 50840, 51064, 53590, 51210, 54722, 50438, 51793, 51115, 51504, 51108, 50970, 51477, 58397, 52598, 52036, 51336, 52430, 51336, 52626, 51336, 55431, 51336, 54646, 51336, 53605, 74903, 69601, 63792, 50947, 51645, 52653, 50446, 51032, 51051, 54722, 50450, 51438, 70571, 57838, 60278, 51032, 51481, 54407, 50456, 51504, 63321, 51793, 50840, 65317, 52653, 60653, 51115, 51136, 50879, 50929, 50879, 51064, 51965, 52562, 51447, 52735, 51336, 54339, 51336, 54307, 51336, 54855, 51336, 57364, 51336, 54318, 74903, 51397, 54407, 50418, 51549, 51412, 54407, 50420, 59205, 57304, 50422, 51563, 50972, 54722, 50426, 53019, 50878, 61675, 51064, 57429, 51551, 50791, 51033, 50430, 51563, 50972, 54407, 50432, 50970, 51623, 50947, 51623, 50434, 51930, 50840, 51549, 53835, 51210, 54722, 50438, 51793, 51115, 51504, 51108, 50970, 51477, 58397, 52598, 52036, 51336, 52430, 51336, 52626, 51336, 55431, 51336, 54646, 51336, 53605, 74903, 69601, 63792, 50947, 51645, 52653, 50446, 51032, 51051, 54722, 50450, 51438, 70571, 57838, 60278, 51032, 51481, 54407, 50456, 51504, 63321, 51793, 50840, 65317, 52653, 60653, 51134, 51136, 50805, 63755, 51064, 51637, 52562, 52263, 52735, 51655, 54339, 51655, 54307, 51655, 54855, 51655, 57364, 51655, 54318, 51655, 50798, 51397, 54407, 50418, 54407, 50419, 51549, 52034, 50420, 67830, 66309, 50422, 51563, 51254, 54722, 50426, 53019, 50955, 50929, 51036, 51064, 51036, 50903, 51551, 50791, 51033, 50430, 51563, 51108, 54407, 50434, 51930, 50862, 51549, 54788, 51210, 54722, 50437, 52562, 67608, 51930, 66646, 69601, 68563, 51064, 51477, 72187, 51878, 50442, 52653, 50443, 51549, 51412, 50446, 51563, 51174, 54722, 50450, 53019, 50942, 50903, 57838, 60278, 54407, 50455, 51563, 75574, 51930, 50809, 51549, 50857, 52653, 60653, 51134, 51064, 51318, 52735, 51655, 54339, 51655, 54307, 51655, 54855, 51655, 57364, 51655, 54318, 51655, 50798, 51397, 54407, 50856, 50915, 50418, 51549, 51852, 54407 ]
[ 0, 250, 5679, 26709, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 980, 8, 26545, 4, 16241, 212, 22052, 8, 18569, 1045, 10, 32625, 2369, 18795, 6, 19, 5, 2125, 25451, 23, 41, 178, 5285, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 24, 1575, 10, 33215, 16739, 9, 3676, 6, 1918, 6, 211, 119, 6, 272, 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, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 52233, 54014, 53091, 51115, 55500, 51115, 51821, 55040, 52233, 54356, 51821, 54752, 54142, 50813, 52233, 61219, 53956, 50813, 50799, 53956, 51134, 67348, 51452, 51678, 55085, 52233, 54278, 51678, 53961, 54142, 50866, 52233, 54014, 54240, 51714, 51678, 55040, 52233, 54356, 61372, 51025, 51678, 54752, 52233, 50866, 50799, 57054, 51115, 52091, 55085, 52233, 54278, 52091, 53961, 52233, 54014, 54240, 51115, 67348, 51115, 52091, 55040, 52233, 54356, 52091, 54752, 53956, 50813, 52233, 61219, 54142, 50813, 50799, 54142, 50866, 55825, 51115, 51821, 55085, 53956, 51047, 52233, 54278, 51821, 53961, 52233, 54014, 55825, 51025, 51821, 55040, 53956, 50866, 52233, 54356, 54240, 50866, 57054, 51025, 51821, 54752, 53956, 51397, 52233, 50866, 50799, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 53091, 50866, 52233, 54014, 53775, 51134, 55500, 51115, 51821, 55040, 52233, 54356, 51821, 54752, 53091, 50866, 52233, 50866, 50799, 53091, 51134, 54064, 51115, 52072, 55085, 51821, 54278, 52072, 53961, 53136, 50866, 51821, 54014, 53136, 51422, 55500, 51115, 52072, 55040, 51821, 54356, 52072, 54752, 51701, 50866, 50799, 55464, 51115, 51678, 55085, 52016, 54278, 51678, 53961, 53136, 50866, 52016, 54014, 53807, 51134, 55464, 51115, 51678, 55040, 52016, 54356, 51678, 54752, 54173, 50866, 52016, 50866, 50799, 53091, 52644, 67348, 51452, 52091, 55085, 52233, 54278, 52091, 53961, 52233, 54014, 52091, 55040, 52233, 54356, 67348, 51025, 51678, 54752, 51821, 50866, 50799, 57054, 51452, 52091, 55085, 52233, 54278, 52091, 53961, 52233, 54014, 53091, 51134, 52091, 55040, 52233, 54356, 67348, 51025, 52091, 54752, 54142, 50813, 52233, 61219, 53956, 50813, 50799, 53956, 51134, 61372, 51115, 51678, 55085, 52233, 54278, 51678, 53961, 54142, 50866, 52233, 54014, 54142, 51422, 55464, 51025, 51678, 55040, 52233, 54356, 55825, 51025, 51678, 54752, 51821, 50866, 50799, 67348, 51115, 52091, 55085, 52233, 54278, 52091, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 57054, 51115, 52091, 55040, 52233, 54356, 52091, 54752, 54142, 50866, 52233, 50866, 50799, 54240, 51134, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 53956, 50866, 52233, 54014, 53956, 53295, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 52233, 50866, 50799, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 52233, 54014, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 52233, 50866, 50799, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 54142, 50866, 52233, 50866, 50799, 54240, 51134, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 53956, 50866, 52233, 54014, 53956, 51422, 51821, 55040, 52233, 54356, 55464, 51025, 51821, 54752, 52233, 50866, 50799, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 55825, 51025, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 54142, 50866, 52233, 50866, 50799, 54142, 51452, 55464, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 52233, 54014, 51821, 55040, 53956, 50866, 52233, 54356, 53956, 50866, 57054, 51025, 51821, 54752, 54240, 50866, 52233, 50866, 50799, 53956, 51134, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 53091, 50866, 52233, 54014, 53775, 51134, 55500, 51115, 51821, 55040, 52233, 54356, 51821, 54752, 53091, 50866, 52233, 50866, 50799, 53091, 51134, 54064, 51115, 52072, 55085, 51821, 54278, 52072, 53961, 53136, 50866, 51821, 54014, 53136, 51422, 54064, 51025, 52072, 55040, 51821, 54356, 55500, 51025, 52072, 54752, 51701, 50866, 50799, 55464, 51452, 51678, 55085, 52016, 54278, 51678, 53961, 53136, 50866, 52016, 54014, 53807, 51134, 51678, 55040, 52016, 54356, 67348, 51025, 51678, 54752, 54173, 50866, 52016, 50866, 50799, 53091, 52644, 55500, 51452, 51701, 55085, 52091, 54278, 51701, 53961, 52091, 54014, 51701, 55040, 52091, 54356, 55825, 51025, 51701, 54752, 51678, 50866, 50799, 61372, 51115, 51821, 55085, 52016, 54278, 51821, 53961, 52016, 54014, 53091, 51134, 55825, 51115, 51821, 55040, 52016, 54356, 51821, 54752, 54142, 50813, 52016, 61219, 53956, 50813, 50799, 53956, 51134, 55464, 51115, 51678, 55085, 52016, 54278, 51678, 53961, 54142, 50866, 52016, 54014, 54142, 51422, 55464, 51025, 51678, 55040, 52016, 54356, 55825, 51025, 51678, 54752, 51821, 50866, 50799, 67348, 51115, 52091, 55085, 52233, 54278, 52091, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 55464, 51115, 52091, 55040, 52233, 54356, 52091, 54752, 54142, 50866, 52233, 50866, 50799, 54240, 51134, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 53956, 50866, 52233, 54014, 53956, 51115, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 52233, 50866, 50799, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 54142, 50866, 52233, 50866, 50799, 54240, 51134, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 53956, 50866, 52233, 54014, 53956, 51422, 51821, 55040, 52233, 54356, 55464, 51025, 51821, 54752, 52233, 50866, 50799, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 55825, 51025, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 54142, 50866, 52233, 50866, 50799, 54142, 51452, 55464, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 52233, 54014, 51821, 55040, 53956, 50866, 52233, 54356, 53956, 50866, 57054, 51025, 51821, 54752, 54240, 50866, 52233, 50866, 50799, 53956, 51134, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 53091, 50866, 52233, 54014, 53775, 51134, 55500, 51115, 51821, 55040, 52233, 54356, 51821, 54752, 53091, 50866, 52233, 50866, 50799, 53091, 51134, 54064, 51115, 52072, 55085, 51821, 54278, 52072, 53961, 53136, 50866, 51821, 54014, 53136, 51422, 54064, 51025, 52072, 55040, 51821, 54356, 55500, 51025, 52072, 54752, 51701, 50866, 50799, 55464, 51452, 51678, 55085, 52016, 54278, 51678, 53961, 53136, 50866, 52016, 54014, 53807, 51134, 51678, 55040, 52016, 54356, 67348, 51025, 51678, 54752, 54173, 50866, 52016, 50866, 50799, 53091, 52644, 55500, 51452, 51701, 55085, 52091, 54278, 51701, 53961, 52091, 54014, 51701, 55040, 52091, 54356, 55825, 51025, 51701, 54752, 51678, 50866, 50799, 61372, 51115, 51821, 55085, 52016, 54278, 51821, 53961, 52016, 54014, 53091, 51134, 55825, 51115, 51821, 55040, 52016, 54356, 51821, 54752, 54142, 50813, 52016, 61219, 53956, 50813, 50799, 53956, 51134, 55464, 51115, 51678, 55085, 52016, 54278, 51678, 53961, 54142, 50866, 52016, 54014, 54142, 51422, 55464, 51025, 51678, 55040, 52016, 54356, 55825, 51025, 51678, 54752, 51821, 50866, 50799, 67348, 51115, 52091, 55085, 52233, 54278, 52091, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 55464, 51115, 52091, 55040, 52233, 54356, 52091, 54752, 54142, 50866, 52233, 50866, 50799, 54240, 51134, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 53956, 50866, 52233, 54014, 53956, 51422, 55500, 51025, 51821, 55040, 52233, 54356, 55825, 51025, 51821, 54752, 52233, 50866, 50799, 61372, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 53091, 50866, 52233, 54014 ]
[ 0, 250, 15855, 13305, 2125, 11, 83, 3694, 6, 42, 765, 2214, 7630, 6568, 10, 2933, 8, 3722, 5466, 6, 442, 24, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 16739, 9, 1918, 6, 234, 6, 1918, 6, 234, 6, 8, 83, 406, 73, 347, 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, 0, 0, 0, 0 ]	[ 57530, 51339, 51422, 50902, 51151, 50450, 51430, 50915, 68818, 51422, 50450, 51430, 50915, 68818, 55382, 51487, 54975, 51339, 55247, 51430, 50915, 68818, 60610, 51487, 51047, 50799, 51814, 51422, 50999, 51151, 50450, 51487, 50915, 50799, 51814, 51422, 50450, 51487, 50915, 50799, 51814, 55382, 52052, 54975, 51814, 55247, 51487, 50915, 68818, 60610, 51487, 51047, 68818, 51422, 50902, 51151, 50450, 51430, 50915, 68818, 51422, 50450, 51430, 50915, 68818, 55382, 51487, 54975, 51339, 55247, 51430, 50915, 68818, 60610, 51487, 51047, 50799, 51814, 51422, 50951, 51151, 50450, 51487, 50915, 50799, 51814, 51422, 50450, 51487, 50915, 50799, 51814, 55382, 52052, 54975, 51814, 55247, 51487, 50915, 68818, 60610, 51487, 51047, 50799, 51814, 51047, 51146, 51151, 50438, 52052, 53999, 51814, 53562, 51487, 53586, 51339, 50845, 50799, 51814, 60610, 52052, 53999, 51814, 53562, 51487, 53586, 51339, 50845, 76502, 60610, 51339, 53999, 51430, 53562, 51146, 53586, 51062, 50845, 62529, 55382, 51430, 54975, 51062, 51047, 58479, 51047, 50902, 51151, 50438, 51081, 53999, 50999, 53562, 50951, 53586, 50931, 50845, 58479, 60610, 51081, 53999, 50999, 53562, 50951, 53586, 50931, 50845, 57289, 60610, 50931, 53999, 50968, 53562, 50902, 53586, 50876, 50845, 55331, 55382, 50968, 54975, 50876, 55247, 50877, 50915, 55331, 60610, 74655, 55331, 60610, 74655, 58479, 51047, 50902, 51151, 50438, 51081, 53999, 50999, 53562, 50951, 53586, 50931, 50845, 58479, 51151, 58479, 51047, 50902, 51151, 50438, 51081, 53999, 50999, 53562, 50951, 53586, 50931, 50845, 56807, 60610, 51062, 51047, 50799, 51814, 51047, 51146, 51151, 50438, 52052, 53999, 51814, 53562, 51487, 53586, 51339, 50845, 50799, 51814, 51151, 50799, 51814, 51047, 51146, 51151, 50438, 52052, 53999, 51814, 53562, 51487, 53586, 51339, 50845, 75464, 60610, 52357, 51047, 50799, 51814, 55382, 51146, 54975, 51487, 55247, 51146, 50915, 68818, 55382, 51430, 51422, 58479, 55382, 50902, 54975, 50951, 55247, 50902, 50915, 56229, 55382, 50968, 51422, 54852, 50915, 53337, 54975, 50861, 55247, 50899, 50915, 57448, 50871, 55382, 50624, 50916, 54975, 50623, 50899, 55247, 50621, 50900, 50915, 58106, 50619, 50899, 51151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 20425, 5175, 1349, 6, 30291, 19, 3152, 4785, 6, 1575, 10, 36075, 8669, 6, 13305, 6, 21072, 6, 17605, 9590, 6, 8, 38668, 483, 6, 2351, 10, 6878, 11739, 9, 2933, 8, 15352, 30054, 23225, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 6, 5, 2214, 11498, 10, 204, 73, 306, 86, 6543, 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 ]	[ 58375, 51528, 51097, 50852, 51380, 51302, 51097, 50852, 51097, 53550, 51058, 50852, 51058, 52129, 56697, 50852, 51058, 53462, 50974, 51528, 51097, 50852, 51097, 51302, 51380, 50852, 74048, 50852, 60344, 50974, 52129, 56697, 50852, 50974, 53462, 56573, 50798, 50907, 57752, 78707, 51380, 51302, 51380, 50852, 51097, 53550, 64192, 50974, 52129, 56697, 50852, 50974, 53462, 50974, 57752, 78707, 78804, 50852, 59975, 51097, 51450, 55095, 50576, 55095, 50579, 73241, 52356, 59356, 51224, 55095, 50579, 50874, 52129, 51008, 51289, 55095, 50576, 75553, 51289, 50374, 53120, 54105, 51456, 55095, 50581, 54923, 50874, 55594, 70184, 51456, 55095, 50581, 54900, 51326, 55095, 50579, 54923, 50874, 53907, 73316, 51456, 55095, 50576, 50874, 51528, 51097, 51289, 51097, 50843, 51380, 51155, 50886, 51046, 50886, 51075, 50886, 53283, 51097, 53633, 50806, 52399, 51380, 51155, 50874, 51046, 50874, 51075, 53881, 50843, 51380, 50804, 51380, 79950, 51075, 50974, 51155, 50874, 53283, 51380, 54931, 52686, 50843, 51380, 51885, 50974, 51511, 50974, 51548, 56298, 50843, 51380, 51289, 57685, 51058, 51386, 50874, 51063, 50874, 51143, 50874, 53283, 51097, 53482, 52692, 51326, 66666, 51380, 51386, 50874, 51063, 50874, 51143, 50874, 51382, 51380, 50843, 51380, 51386, 50974, 51063, 50974, 51143, 50974, 53283, 51380, 54664, 52935, 50852, 51380, 51521, 50974, 51511, 50974, 51548, 50974, 55022, 50874, 51528, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 53283, 51477, 53633, 50806, 52399, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 51302, 51380, 50843, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 54931, 52309, 50843, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 54505, 50974, 51450, 51380, 50843, 51380, 51521, 50874, 51046, 50874, 51143, 50874, 53283, 51380, 54198, 52692, 50843, 51380, 51143, 50874, 51521, 50874, 51046, 50874, 61290, 50821, 51382, 51380, 50843, 51380, 51521, 50874, 51046, 50874, 51143, 50874, 53907, 51058, 54198, 52931, 50852, 51380, 51521, 50874, 51046, 50874, 51143, 50874, 53787, 50974, 61290, 50821, 51528, 56395, 50874, 51521, 50874, 52305, 50874, 51511, 50874, 53283, 51380, 55356, 50806, 53440, 50874, 52399, 50974, 51521, 50874, 51511, 50874, 52305, 50874, 51302, 66666, 50974, 52305, 50874, 51521, 50874, 51511, 50874, 53283, 51097, 56915, 52309, 50852, 50974, 52305, 50874, 51521, 50874, 51511, 50874, 51450, 63660, 51058, 51521, 50874, 51348, 50874, 51611, 50874, 53787, 50974, 54198, 52692, 71810, 51521, 50874, 51611, 50874, 51348, 50874, 52998, 51477, 54198, 50974, 51382, 66666, 50974, 51611, 50874, 51521, 50874, 51348, 50874, 54198, 52931, 50852, 50974, 51611, 50874, 51521, 50874, 51348, 50874, 54198, 50974, 51528, 50974, 51046, 50874, 51155, 50874, 51075, 50874, 55594, 51939, 53633, 50806, 52399, 50874, 51155, 50874, 51046, 50874, 51075, 50874, 54931, 56174, 50843, 50874, 51302, 63660, 51058, 51155, 50874, 51046, 50874, 51075, 50874, 53633, 52309, 50852, 50974, 51155, 50874, 51046, 50874, 51075, 50874, 54931, 50874, 51450, 51380, 51224, 51380, 51335, 51380, 55596, 51380, 51063, 51380, 51075, 51380, 52341, 51380, 51843, 51380, 54330, 72208, 51326, 51380, 51206, 78707, 51380, 51296, 51380, 51211, 51380, 51843, 51380, 51278, 51380, 51143, 51380, 53907, 50974, 53797, 51380, 54289, 76342, 53787, 51058, 51528, 51097, 51289, 51097, 50843, 51380, 51155, 50886, 51046, 50886, 51075, 50886, 53283, 51097, 53633, 50806, 52399, 51380, 51155, 50874, 51046, 50874, 51075, 53881, 50843, 51380, 50804, 51380, 79950, 51075, 50974, 51155, 50874, 53283, 51380, 54931, 52686, 50843, 51380, 51885, 50974, 51511, 50974, 51548, 56298, 50843, 51380, 51289, 57685, 51058, 51386, 50874, 51063, 50874, 51143, 50874, 53283, 51097, 53482, 52692, 51326, 66666, 51380, 51386, 50874, 51063, 50874, 51143, 50874, 51382, 51380, 50843, 51380, 51386, 50974, 51063, 50974, 51143, 50974, 53283, 51380, 54664, 52935, 50852, 51380, 51521, 50974, 51511, 50974, 51548, 50974, 55022, 50874, 51528, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 53283, 51477, 53633, 50806, 52399, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 51302, 51380, 50843, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 54931, 52309, 50843, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 54505, 50974, 51450, 51380, 50843, 51380, 51521, 50874, 51046, 50874, 51143, 50874, 53283, 51380, 54198, 52692, 50843, 51380, 51143, 50874, 51521, 50874, 51046, 50874, 61290, 50821, 51382, 51380, 50843, 51380, 51521, 50874, 51046, 50874, 51143, 50874, 53907, 51058, 54198, 52931, 50852, 51380, 51521, 50874, 51046, 50874, 51143, 50874, 53787, 50974, 61290, 50821, 51528, 56395, 50874, 51521, 50874, 52305, 50874, 51511, 50874, 53283, 51380, 55356, 50806, 53440, 50874, 52399, 50974, 51521, 50874, 51511, 50874, 52305, 50874, 51302, 66666, 50974, 52305, 50874, 51521, 50874, 51511, 50874, 53283, 51097, 56915, 52309, 50852, 50974, 52305, 50874, 51521, 50874, 51511, 50874, 51450, 63660, 51058, 51521, 50874, 51348, 50874, 51611, 50874, 53787, 50974, 54198, 52692, 71810, 51521, 50874, 51611, 50874, 51348, 50874, 52998, 51477, 54198, 50974, 51382, 66666, 50974, 51611, 50874, 51521, 50874, 51348, 50874, 54198, 52931, 50852, 50974, 51611, 50874, 51521, 50874, 51348, 50874, 54198, 50974, 51528, 50974, 51046, 50874, 51155, 50874, 51075, 50874, 55594, 51939, 53633, 50806, 52399, 50874, 51155, 50874, 51046, 50874, 51075, 50874, 54931, 56174, 50843, 50874, 51302, 63660, 51058, 51155, 50874, 51046, 50874, 51075, 50874, 53633, 52309, 50852, 50974, 51155, 50874, 51046, 50874, 51075, 50874, 54931, 50874, 51450, 51380, 51224, 51380, 51335, 51380, 58497, 51380, 51473, 51380, 51548, 51380, 52294, 51380, 51843, 51380, 54198, 72208, 51326, 51380, 51206, 78707, 51380, 52305, 51380, 51529, 51380, 51843, 51380, 51521, 51380, 51143, 51380, 56915, 51380, 55356, 51055, 51201, 56711, 51395, 51058, 50799, 56139, 52337, 51107, 51244, 65638, 52337, 50415, 52303, 52337, 51687, 52337, 51231, 52337, 50416, 51414, 52337, 51457, 52337, 51825, 52337, 50438, 51165, 51244, 63535, 51244, 50432, 50852, 55084, 50434, 50852, 52794, 50435, 50852, 52462, 50436, 50852, 52101, 50438, 50852, 51550, 51165, 51244, 50440, 50852, 51252, 50442, 50852, 51269, 56960, 51022, 50446, 50852, 50984, 50448, 50852, 56881, 50852, 50874, 50799, 55285, 52337, 51093, 51939, 64036, 52337, 50415, 53075, 52337, 52303, 52337, 51410, 52337, 50416, 51303, 52337, 51249, 52337, 50417, 51457, 52337, 50450, 51107, 51380, 66325, 68116, 51201, 59124, 50856, 50874, 51395, 51380, 55858, 50874, 56139, 52337, 51107, 51244, 65638, 52337, 50415, 52303, 52337, 51687, 52337, 51231, 52337, 50416, 51414, 52337, 51457, 52337, 50417, 51825, 52337, 50438, 51165, 51244, 63535, 68116, 51201, 51244, 56960, 55084, 50446, 50852, 52794, 50447, 50852, 52462, 50448, 50852, 67218, 50852, 51550, 50452, 50852, 51252, 50454, 50852, 51269, 56672, 51022, 60651, 50984, 50460, 50852, 50984, 57752, 50874, 56698, 51445, 53248, 51445, 51093, 51445, 57697, 52337, 50415, 53075, 51445, 51465, 51445, 50416, 51249, 51445, 51327, 51445, 50417, 51818, 51445, 50418, 51981, 51445, 56672, 52101, 60506, 51252, 57752, 50984, 56698, 51445, 50415, 53248, 51445, 53075, 51445, 51465, 51445, 50416, 51414, 51445, 51327, 51445, 51980, 51445, 51981, 51445, 52320, 50974 ]
[ 0, 250, 19448, 3495, 8, 19834, 2214, 14, 7630, 6568, 10, 1619, 8, 822, 12, 3341, 5466, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 1515, 21305, 6, 21072, 6, 8, 21979, 8669, 4, 20, 2125, 16, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 9, 4430, 13410, 228, 2289, 6, 21437, 10, 33215, 16739, 9, 274, 6, 163, 428, 6, 230, 10431, 401, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50459, 50902, 52263, 50460, 50906, 51477, 50461, 50931, 51477, 60820, 72107, 73764, 50931, 65470, 50871, 50808, 50902, 52599, 62198, 50968, 52831, 66252, 50916, 60204, 51040, 71304, 54803, 64782, 50968, 52741, 67564, 50989, 50959, 50453, 66461, 50876, 52643, 50900, 77439, 54421, 50989, 78222, 50950, 71091, 55694, 51204, 50902, 51204, 50871, 51364, 50431, 50906, 57748, 74790, 50951, 53263, 67243, 51114, 77439, 59826, 50965, 53177, 50316, 71064, 64466, 51234, 55982, 51324, 52935, 51085, 57264, 51120, 50800, 55694, 51203, 51001, 51116, 50951, 51221, 51197, 52195, 50426, 50947, 73485, 51852, 51001, 51255, 50951, 51221, 50429, 50929, 53911, 50947, 56966, 51064, 51291, 51234, 52691, 50906, 77410, 51800, 50322, 51800, 50295, 51527, 65851, 51412, 51001, 51221, 51114, 69960, 75045, 61894, 67782, 51363, 50902, 51255, 75248, 51234, 66403, 50970, 51977, 60718, 51203, 51147, 51203, 51062, 51255, 51176, 53912, 50902, 51203, 50951, 51221, 51081, 51255, 51026, 55082, 51234, 64830, 73273, 51734, 50324, 73559, 51324, 54353, 51085, 53848, 51120, 50800, 55694, 51203, 51001, 51116, 50951, 51221, 51197, 52195, 50426, 50947, 73485, 51852, 51001, 51255, 50951, 51221, 50429, 50929, 53627, 50947, 56966, 51064, 51189, 51234, 52841, 50906, 77410, 51800, 50322, 51800, 50295, 51527, 65851, 51412, 51001, 51221, 51114, 51203, 50454, 51032, 65372, 51064, 50924, 61894, 51518, 50906, 51363, 50902, 51255, 75248, 51234, 51013, 50425, 50902, 73969, 51147, 51203, 51062, 51255, 51176, 56509, 50902, 51203, 50951, 51221, 51081, 51255, 51026, 57197, 51234, 64830, 73273, 51734, 50324, 73559, 51324, 52935, 51085, 56860, 51120, 50800, 55694, 51203, 51001, 51116, 50951, 51221, 51197, 51661, 50426, 50947, 73485, 51852, 51001, 51255, 50951, 51221, 50429, 50929, 53627, 50947, 56966, 63139, 51234, 52729, 50906, 77410, 51800, 50322, 51800, 50295, 51196, 50441, 51032, 51551, 65851, 51412, 51001, 51221, 51114, 51203, 55694, 71274, 60763, 52297, 50319, 52530, 50294, 64739, 51549, 60599, 51218, 71241, 51110, 51001, 51233, 50876, 73377, 51067, 54993, 64921, 50876, 57449, 64924, 76195, 51077, 50441, 51067, 54811, 51064, 51294, 50906, 51218, 56415, 51162, 50902, 51377, 56178, 50991, 71356, 75244, 51085, 55834, 50956, 50991, 71356, 50876, 78265, 51067, 51235, 64574, 51255, 66180, 50906, 51534, 51050, 63883, 51032, 53401, 51064, 51227, 62291, 51238, 71356, 50906, 51412, 50456, 51032, 51274, 50459, 51064, 51541, 54578, 51446, 51234, 51356, 50997, 51680, 50899, 52015, 50426, 51326, 69574, 55649, 73764, 50931, 65470, 50871, 50808, 50902, 52599, 62198, 50968, 52831, 66252, 50916, 60204, 51040, 71304, 52406, 50578, 56156, 64782, 50968, 52476, 50581, 56385, 50623, 67564, 50989, 50959, 51456, 56353, 66461, 50876, 52643, 50900, 77439, 79336, 60451, 50989, 78222, 50950, 71091, 55556, 51336, 50997, 51411, 50899, 51480, 50871, 51480, 51234, 51336, 58366, 51145, 53181, 52096, 51863, 52829, 51206, 53618, 51427, 52399, 52437, 50960, 65758, 51363, 50871, 51221, 50997, 79427, 54473, 51021, 50429, 50970, 54154, 50960, 52847, 53908, 51032, 79890, 52950, 51181, 50918, 50997, 79628, 51411, 50871, 51025, 50965, 51162, 51120, 51356, 55430, 51047, 76935, 51354, 50444, 51064, 51226, 50843, 53068, 50871, 51233, 50899, 51363, 50965, 51221, 50997, 79427, 54473, 58133, 50843, 54625, 50798, 50820, 54293, 51661, 50997, 51253, 50900, 51380, 50956, 58104, 51267, 51197, 51285, 66987, 65108, 57166, 51307, 52399, 54477, 51246, 52639, 51246, 68519, 50991, 79269, 50997, 51480, 50900, 51775, 50816, 51594, 54660, 50986, 53974, 51246, 52154, 54002, 50970, 68984, 50841, 55545, 51077, 50956, 51162, 50997, 51199, 50900, 51709, 50989, 51048, 51197, 65506, 50930, 52093, 50444, 51136, 51226, 50843, 53057, 50900, 51645, 50956, 51203, 50989, 51203, 50997, 51484, 50816, 51508, 53173, 50852, 54814, 50798, 50829, 55556, 51103, 50997, 51480, 50899, 51411, 50871, 51377, 51234, 51127, 58366, 51127, 66987, 50821, 52399, 52639, 50960, 65758, 51203, 50871, 51124, 50997, 59330, 52538, 58465, 50970, 54154, 50960, 52847, 53593, 51032, 58571, 53116, 51181, 50918, 50997, 51411, 50899, 51480, 50871, 51400, 50965, 51346, 51120, 51336, 55430, 51183, 57207, 53885, 51064, 51290, 50843, 52802, 50871, 51312, 50965, 51267, 50997, 61849, 64989, 51739, 52881, 51064, 59893, 50828, 60938, 51336, 51338, 51356, 50997, 79628, 51411, 50916, 51377, 50861, 51400, 51085, 50918, 53817, 50807, 55793, 51047, 53883, 64391, 50858, 52093, 52399, 52762, 50997, 51255, 50899, 51203, 68575, 71356, 51881, 50807, 51782, 50969, 54440, 50843, 54248, 50798, 53116, 51078, 52097, 51857, 51551, 51027, 51025, 51040, 61829, 51159, 50989, 51159, 51324, 51551, 53100, 51013, 57570, 51103, 66951, 66972, 62146, 51103, 54032, 53083, 50989, 51043, 51027, 51363, 51040, 51255, 50956, 51221, 57633, 51090, 55359, 54363, 50816, 54647, 51326, 60451, 51326, 50961, 55556, 51356, 50997, 79628, 51411, 50871, 51025, 51234, 51148, 58366, 51047, 54720, 51145, 53181, 51183, 53151, 51293, 62305, 53227, 50960, 54640, 54477, 50960, 52437, 50960, 50859, 50997, 51221, 50899, 51203, 50871, 51255, 70683, 52112, 50429, 50970, 52686, 50960, 55509, 54487, 51032, 79890, 53219, 51181, 51103, 50997, 51400, 50899, 51480, 50871, 51400, 50965, 51377, 51120, 51103, 51881, 51056, 55430, 64250, 50890, 52093, 50444, 51064, 66555, 52725, 50899, 59198, 68468, 74492, 51233, 51881, 50805, 79211, 54403, 52133, 59301, 54943, 51881, 50942, 54293, 51336, 50997, 51267, 78120, 50956, 58104, 51267, 51197, 50918, 52402, 78464, 52816, 73701, 57166, 51151, 52399, 54477, 51246, 53950, 50986, 50940, 50900, 51363, 50956, 51221, 50861, 51255, 50997, 51480, 50816, 52374, 52209, 51246, 56690, 54487, 50970, 51235, 67003, 55545, 51077, 50997, 51411, 50900, 51480, 50956, 51346, 50989, 51400, 51197, 51103, 52133, 51183, 62113, 53239, 51136, 66555, 53083, 50956, 51377, 50989, 51377, 50997, 51253, 78120, 75579, 56332, 53555, 50852, 54370, 50960, 52090, 50828, 50799, 58870, 51181, 79230, 51124, 50899, 51363, 50989, 51221, 50877, 51412, 51120, 50914, 55430, 50981, 53780, 50914, 52338, 50981, 52665, 50981, 52196, 51253, 62113, 53829, 51549, 59964, 54069, 51067, 55341, 51137, 62202, 51194, 51086, 51124, 50899, 51363, 50871, 51221, 51026, 50943, 53817, 51097, 56117, 51003, 52665, 51097, 52541, 50807, 51996, 64989, 52374, 56710, 51549, 54729, 50843, 54487, 50798, 53569, 51067, 50893, 51338, 73090, 51400, 50900, 51377, 50956, 51162, 50861, 51025, 51085, 50943, 55793, 50981, 52338, 50995, 51946, 50915, 54277, 51097, 52695, 61011, 50930, 52093, 50441, 51032, 50893, 54032, 53083, 63139, 51132, 72893, 51043, 50956, 51110, 50861, 51043, 50900, 51363, 51050, 50943, 54720, 50995, 54277, 50995, 52338, 51097, 52695, 50943, 51946, 72260, 50962, 52093, 50456, 51032, 53072, 56419, 67003, 50799, 51064, 51274, 51727, 51307, 51234, 51452, 50997, 51662, 50900, 51422, 50899, 51677, 50871, 51538, 58366, 53588, 53181, 51313, 54277, 52140, 52665, 51592, 51996, 51662, 52338, 51939, 51728, 52526, 53087, 50856, 59476, 50906, 57748, 74790, 50951, 53263, 67243, 51114, 77439, 59826, 50965, 53177, 50316, 71064, 79089, 53533, 51234, 50854, 51234, 51508, 56883, 51324, 50833, 52093, 50456, 51246, 52530, 50292, 52227, 56046, 51120, 50812, 54293, 51469, 50906, 51203, 51001, 51116, 50951 ]
[ 0, 250, 15352, 30054, 8, 2635, 5175, 15855, 2125, 4246, 10, 3741, 27374, 594, 6, 278, 11, 5, 762, 9, 163, 3694, 19, 10, 204, 73, 398, 86, 6543, 4, 20, 15229, 1171, 10, 881, 21263, 9, 5, 33215, 16739, 163, 119, 6, 163, 35470, 757, 6, 163, 119, 6, 83, 6, 8, 272, 401, 6, 2351, 10, 2933, 8, 5679, 26709, 5466, 624, 42, 765, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50417, 54981, 50824, 52760, 51059, 50423, 53074, 51973, 54832, 53300, 53385, 54241, 76281, 52779, 50802, 54981, 57699, 52345, 50802, 52360, 63058, 53469, 50802, 53489, 57325, 76281, 52880, 70216, 52760, 50802, 72458, 52177, 53469, 50802, 52345, 64381, 53252, 50802, 54832, 58542, 52760, 50802, 52118, 60739, 52724, 50802, 53385, 57699, 55424, 55373, 53854, 50802, 53276, 55680, 54832, 50817, 53874, 60646, 53385, 52193, 54832, 56995, 53385, 53736, 54832, 50817, 56165, 62167, 53385, 50817, 50799, 53276, 63603, 53385, 55265, 54832, 50802, 67406, 51059, 55424, 51059, 50423, 53276, 51973, 54267, 53300, 52880, 60739, 56165, 50802, 52760, 50802, 53074, 57699, 56024, 50802, 53854, 50802, 52360, 63058, 55227, 50802, 52508, 50802, 54832, 57325, 60565, 50802, 53874, 50802, 52880, 70216, 55532, 50802, 52724, 50802, 53385, 50824, 52177, 50658, 50286, 50802, 60229, 50802, 52345, 64381, 67406, 50802, 55424, 50802, 53276, 50802, 53489, 58542, 56165, 50802, 52880, 50824, 53385, 51407, 50435, 53874, 50802, 53074, 56119, 53854, 50802, 54832, 55373, 53074, 74218, 52175, 53489, 53532, 53074, 50802, 55424, 51072, 50459, 53276, 50802, 54832, 50802, 52177, 52779, 50802, 56165, 50824, 55183, 50824, 52760, 51029, 50423, 52880, 55396, 53489, 50802, 53854, 50824, 52360, 51029, 50435, 52345, 50802, 53385, 56119, 55227, 50824, 54832, 50824, 52508, 51029, 50447, 52345, 55680, 53074, 50802, 53874, 50824, 52880, 70216, 52779, 50802, 71902, 52177, 54267, 50802, 53854, 64381, 52760, 50802, 53385, 55396, 53469, 50802, 52779, 51009, 50435, 52508, 50802, 54832, 56119, 76281, 53385, 55373, 54832, 50803, 52880, 52175, 53074, 53532, 52345, 50802, 52779, 50802, 54832, 54934, 76281, 54267, 50802, 53385, 50802, 52177, 53469, 50802, 52779, 54433, 52508, 50802, 54832, 55396, 52760, 50802, 53074, 51009, 50435, 55424, 50802, 54981, 56119, 52724, 50802, 53489, 55373, 54981, 50803, 52760, 52175, 54122, 53532, 52508, 50802, 53074, 50802, 54981, 54934, 52724, 50802, 54832, 50802, 53489, 50802, 52177, 53074, 50802, 55424, 64381, 52779, 50802, 71902, 55358, 58542, 77707, 53385, 60739, 62133, 50802, 52360, 57699, 54832, 50802, 52508, 51009, 50447, 53489, 50817, 52880, 64070, 53074, 52568, 54832, 62353, 53074, 54085, 52345, 50802, 53489, 54934, 76281, 54981, 50802, 52177, 67965, 50802, 53489, 54433, 54267, 51973, 52779, 53300, 52880, 52119, 52360, 52674, 52345, 52057, 52880, 53609, 62133, 74218, 52313, 54122, 61443, 52880, 52116, 52360, 53532, 52345, 52163, 52880, 52937, 52118, 50803, 50799, 52345, 54024, 55358, 50803, 55424, 52410, 54981, 62643, 52345, 51973, 52880, 53300, 52118, 52119, 52345, 52674, 53469, 52057, 52118, 53609, 54122, 50803, 53854, 52313, 53489, 61443, 52118, 52116, 52345, 53532, 53469, 52163, 52118, 52937, 52760, 50803, 50799, 53469, 54024, 54981, 50803, 53874, 58823, 55358, 52801, 54832, 51973, 53489, 53300, 53074, 52119, 54981, 52674, 52779, 50803, 55424, 52125, 54832, 53609, 53385, 74218, 53681, 54122, 52911, 54981, 50803, 55532, 52175, 53489, 53532, 53074, 50803, 52508, 61828, 53489, 52937, 52779, 50803, 55227, 50802, 50799, 54832, 54024, 53074, 50802, 60565, 51059, 50423, 54981, 51973, 54122, 53300, 53489, 52119, 54981, 52674, 52880, 50803, 53074, 52057, 52345, 50803, 53489, 53609, 54981, 50803, 60565, 63189, 52779, 52911, 54981, 52116, 54122, 53532, 53489, 52163, 54981, 52937, 52880, 50803, 53074, 50803, 50799, 52345, 50803, 53489, 54024, 54981, 50803, 60565, 64146, 52779, 52801, 54981, 50803, 55358, 51973, 54122, 50803, 62133, 53300, 53489, 50803, 54122, 52119, 54981, 50803, 55358, 52674, 52880, 50803, 53074, 50803, 54981, 52057, 52345, 50803, 53489, 50803, 54122, 53609, 54981, 50803, 55358, 50803, 53874, 52313, 53489, 50803, 54122, 52911, 53074, 50803, 54981, 74218, 52175, 53489, 50803, 54122, 53532, 53074, 50802, 54981, 50802, 52508, 72430, 53074, 50817, 54981, 50817, 55227, 62167, 54832, 50817, 53489, 50817, 50799, 53074, 50817, 54981, 63603, 54832, 50817, 53489, 55265, 53074, 50802, 60565, 51059, 50423, 54981, 51973, 54122, 53300, 53489, 52119, 54981, 52674, 52880, 50803, 53074, 52057, 52345, 50803, 53489, 53609, 54981, 50803, 60565, 63189, 52779, 52911, 54981, 52116, 54122, 53532, 53489, 52163, 54981, 52937, 52880, 50803, 53074, 50803, 50799, 52345, 50803, 53489, 54024, 54981, 50803, 60565, 64146, 52779, 52801, 54981, 50803, 55358, 51973, 54122, 50803, 62133, 53300, 53489, 50803, 54122, 52119, 54981, 50803, 55358, 52674, 52880, 50803, 53074, 50803, 54981, 52057, 52345, 50803, 53489, 50803, 54122, 53609, 54981, 50803, 55358, 50803, 53874, 52313, 53489, 50803, 54122, 52911, 53074, 50803, 54981, 74218, 52175, 53489, 50803, 54122, 53532, 53074, 50802, 54981, 50802, 52508, 72430, 53074, 50817, 54981, 50817, 55227, 62167, 54832, 50817, 53489, 50817, 50799, 53074, 50817, 54981, 63603, 54832, 50817, 53489, 55265, 53074, 50803, 60565, 50802, 53874, 52410, 53074, 52801, 53074, 50803, 55424, 52038, 53074, 53300, 53074, 74218, 53566, 53074, 52674, 53074, 50803, 52345, 53663, 53074, 53609, 53074, 50803, 52508, 53681, 53074, 52911, 53074, 50803, 52880, 54145, 53074, 53532, 53074, 50803, 52760, 54098, 53074, 52937, 53074, 50803, 72228, 50799, 53074, 54024, 53074, 50803, 53469, 54226, 53489, 52801, 53489, 50803, 52779, 54107, 53489, 53300, 53489, 50803, 52118, 53566, 54981, 52674, 54981, 50803, 52779, 52125, 54981, 53609, 54981, 74218, 53681, 53489, 52911, 54981, 50803, 55532, 52175, 54122, 53532, 54981, 50803, 52508, 54098, 53074, 52937, 53489, 50803, 55227, 50802, 50799, 54832, 54024, 53074, 50860, 53874, 52410, 64974, 62643, 53074, 50860, 55424, 52038, 64974, 60280, 53074, 50860, 52724, 53566, 64974, 59618, 53074, 50860, 52345, 53663, 64974, 61870, 53074, 50860, 52508, 53681, 64974, 61443, 53074, 50860, 52880, 54145, 64974, 62183, 53074, 50860, 52760, 54098, 64974, 60271, 53074, 50860, 72228, 50799, 64974, 68745, 53074, 50860, 53469, 54226, 50658, 50337, 62643, 53489, 50860, 52779, 54107, 50658, 50337, 60280, 53489, 50860, 52118, 53566, 50658, 50339, 59618, 54981, 50860, 52779, 52125, 50658, 50339, 61870, 54981, 50860, 52724, 53681, 50658, 50339, 61443, 54122, 50860, 55532, 52175, 50658, 50340, 62183, 54981, 50860, 52508, 54098, 50658, 50339, 60271, 53489, 50860, 55227, 50802, 50799, 50658, 50337, 68745, 64974, 50803, 53874, 52410, 50658, 50334, 52801, 62133, 50803, 55424, 52038, 55358, 53300, 54122, 74218, 53566, 54981, 52674, 53489, 50803, 55532, 50802, 62133, 52125, 53074, 53609, 55358, 50803, 52508, 52313, 54122, 52911, 54981, 74218, 52175, 53489, 53532, 54981, 50803, 52508, 54098, 53074, 52937, 53489, 50803, 55227, 50802, 50799, 54832, 54024, 53074, 50803, 53874, 52410, 54832, 52801, 53385, 50803, 55424, 52038, 52779, 53300, 52360, 74218, 53566, 52880, 52674, 52345, 50803, 55532, 50802, 53385, 52125, 52118, 53609, 52779, 50803, 52508, 52313, 52360, 52911, 52880, 74218, 52175, 52345, 53532, 52880, 50803, 52508, 61828, 52118, 52937, 52345, 50803, 55227, 50802, 50799, 53469, 54024, 53469, 50824, 60565, 74666, 52118, 75421, 53874, 50802, 52779, 51009, 53074, 51009, 54981, 51009, 50447, 53469, 52116, 52118, 53532, 52760, 52163, 53469, 52937, 52508, 50803, 50799, 52760, 54024, 60229, 50802, 52779, 51009, 54832, 51009, 53489, 51009, 50423, 52760, 51973, 53469, 53300 ]
[ 0, 250, 20902, 3495, 2214, 4246, 10, 32076, 11739, 9, 13305, 6, 6755, 12547, 6, 21072, 6, 1515, 21305, 6, 8, 18558, 6, 2351, 41, 17627, 17274, 8, 33558, 5466, 4, 590, 10, 1769, 20889, 9, 8325, 163, 5683, 11, 204, 73, 306, 86, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 211, 538, 8, 24536, 10, 33215, 16739, 9, 211, 406, 6, 272, 6, 272, 119, 6, 211, 6, 8, 272, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 55159, 71731, 52906, 52710, 57986, 51594, 50812, 51532, 54150, 72978, 51658, 55701, 51572, 54478, 50852, 52848, 57986, 51594, 50812, 51647, 54622, 72978, 51755, 55701, 71731, 52906, 52710, 57986, 51594, 50812, 51532, 54150, 72978, 51658, 55701, 51572, 54478, 50852, 52848, 57986, 51594, 50812, 51647, 54622, 72978, 62640, 51173, 51926, 54036, 51049, 61531, 56025, 51182, 50904, 78594, 56287, 50841, 51182, 50886, 51926, 55476, 54080, 56287, 53935, 51995, 51158, 57986, 51594, 50812, 51532, 69227, 51384, 52739, 56287, 50839, 51107, 56669, 54125, 56287, 63123, 51182, 50867, 51926, 53891, 51995, 51175, 55159, 51572, 76065, 51182, 50886, 51926, 54465, 56287, 55033, 54672, 56287, 54086, 51995, 51167, 57986, 51594, 50812, 51647, 75635, 51107, 50904, 51384, 54622, 56287, 54726, 54421, 56287, 58660, 51182, 50886, 51926, 50836, 62640, 51175, 55159, 71731, 50419, 51182, 50886, 51926, 54402, 56287, 54539, 54080, 56287, 52762, 51995, 51175, 57986, 51594, 50812, 51532, 69227, 51107, 55286, 56287, 50829, 51384, 58453, 54125, 56287, 57405, 51182, 54077, 51995, 51175, 51926, 53309, 55701, 51572, 76065, 51182, 50867, 51926, 54465, 56287, 55033, 54672, 56287, 57723, 51284, 52985, 51995, 51173, 52487, 55944, 51907, 51594, 55874, 51394, 51051, 52066, 50454, 53089, 65628, 56287, 50839, 51558, 50827, 54294, 58453, 54421, 56287, 50836, 62640, 51177, 51182, 50886, 51926, 53243, 55701, 78594, 56287, 50841, 51182, 50867, 51926, 55153, 54080, 56287, 53425, 51995, 51242, 57986, 51594, 50812, 51532, 54150, 56287, 50835, 51107, 50904, 51384, 55249, 54125, 56287, 53891, 51995, 51110, 51182, 50867, 51926, 53243, 55701, 51572, 76065, 51182, 54758, 56287, 50820, 51926, 55153, 54672, 56287, 54185, 51995, 51095, 57986, 51594, 50812, 51647, 54622, 56287, 50829, 51107, 50904, 51384, 55249, 54421, 56287, 59700, 51182, 50886, 62640, 50967, 51926, 53243, 55701, 71731, 50419, 51182, 55394, 56287, 50837, 51926, 55153, 52296, 56287, 53803, 52645, 50967, 70864, 62606, 51532, 69227, 51107, 53998, 54813, 50825, 51384, 55249, 52262, 54813, 61360, 51182, 50867, 51926, 53574, 51758, 51095, 55159, 51572, 76065, 51182, 50886, 51926, 54465, 54009, 55476, 52513, 54009, 60062, 52487, 68465, 53311, 51121, 51284, 50978, 57986, 51594, 55874, 53089, 68243, 51394, 50959, 50455, 54294, 54900, 56292, 50813, 51558, 54553, 54984, 52567, 56292, 50829, 62640, 51173, 50899, 51591, 50861, 51591, 50973, 51591, 51926, 50844, 75459, 51449, 51615, 52829, 52187, 52829, 51838, 52204, 52137, 51671, 51976, 61531, 50800, 78594, 56287, 50841, 51926, 54791, 54080, 56287, 53935, 51995, 51158, 57986, 51594, 50812, 51532, 54150, 56287, 50839, 51384, 55249, 54125, 56287, 54728, 51995, 51175, 51926, 50810, 53339, 51177, 51902, 51177, 55159, 51572, 54478, 56287, 50834, 51026, 50978, 51926, 50810, 52601, 50813, 51612, 55476, 54672, 56287, 54086, 51995, 51167, 50899, 59408, 74690, 50893, 52601, 50844, 51612, 53877, 51907, 51594, 50812, 51647, 54622, 56287, 50841, 51384, 50827, 53339, 50854, 51902, 57396, 54421, 56287, 58660, 50699, 50346, 51243, 62640, 51167, 50989, 51591, 50877, 51591, 50973, 51591, 50902, 51591, 52405, 50810, 53129, 51313, 52601, 51159, 51612, 51159, 55159, 78594, 56287, 50829, 52405, 54791, 54080, 56287, 52992, 51995, 51160, 53339, 51157, 51902, 51157, 57986, 51594, 50812, 51532, 54150, 56287, 50835, 51384, 63713, 54125, 56287, 59693, 52196, 51162, 51584, 69205, 51995, 50980, 52405, 53095, 55701, 51572, 54478, 56287, 50837, 51026, 50978, 52405, 55475, 54672, 56287, 61230, 51946, 51803, 51555, 51803, 50450, 51995, 51235, 50989, 65481, 74690, 68550, 56702, 51907, 51594, 50812, 51647, 54622, 56287, 50829, 51384, 56254, 54421, 56287, 56603, 61437, 52204, 62640, 51173, 67137, 65218, 50973, 51047, 74655, 51690, 50844, 52036, 51717, 55159, 50417, 51838, 50360, 50412, 52066, 50420, 56287, 50841, 51690, 56558, 54080, 56287, 53935, 51995, 51158, 57986, 51594, 50812, 51532, 54150, 56287, 50839, 51384, 50907, 53339, 51003, 51902, 75342, 54125, 56287, 54728, 51995, 51175, 51690, 53877, 55701, 51572, 54478, 56287, 60953, 50833, 58893, 68530, 64062, 51690, 50844, 52601, 50813, 51612, 55476, 54672, 56287, 54086, 51995, 51167, 52601, 50810, 51612, 53095, 51907, 51594, 55874, 62676, 61084, 79948, 71702, 52066, 50455, 53339, 50942, 51902, 58774, 56287, 50841, 51384, 55249, 54421, 56287, 58660, 54012, 51159, 52075, 51159, 62640, 51167, 50871, 51413, 50877, 51413, 50973, 51413, 50902, 51413, 51690, 53877, 55701, 78594, 56287, 50829, 51690, 55475, 54080, 56287, 60341, 52601, 50915, 51612, 55382, 51995, 51160, 57986, 51594, 50812, 51532, 54150, 56287, 50835, 51384, 55249, 54125, 56287, 53574, 51995, 50980, 50973, 51413, 51690, 50844, 51836, 51013, 51567, 51013, 55159, 51572, 54478, 56287, 74943, 51351, 51690, 53095, 55603, 54672, 56287, 61230, 52601, 50845, 51612, 53562, 51995, 51235, 57986, 51594, 50812, 51647, 54622, 56287, 50829, 51384, 50851, 53339, 51003, 51902, 75342, 54421, 56287, 56603, 60336, 52204, 70963, 51235, 50916, 51307, 50861, 51307, 50973, 51307, 50902, 51307, 51733, 50822, 51615, 52204, 51711, 52121, 52225, 52121, 55159, 78594, 58625, 50841, 51733, 50827, 51946, 50915, 51555, 59098, 54080, 58625, 53901, 52713, 51235, 57986, 51594, 50812, 51532, 54150, 58625, 50820, 51304, 55249, 54125, 58625, 59921, 53064, 50892, 52041, 53913, 52713, 50991, 51733, 53877, 55701, 51572, 76065, 51946, 50836, 51555, 54465, 58625, 50846, 51733, 58453, 54672, 58625, 56918, 51946, 50878, 51555, 56060, 52713, 51235, 57986, 51594, 50812, 51647, 75635, 53064, 50978, 52041, 63044, 58625, 50841, 51304, 55249, 54421, 58625, 50841, 70963, 51173, 50916, 51518, 50861, 51518, 50973, 51518, 50902, 51518, 51733, 50822, 52601, 51159, 51612, 51159, 55159, 78594, 58625, 50841, 51733, 55475, 54080, 58625, 64783, 51836, 51100, 51567, 64131, 52713, 51158, 57986, 51594, 50812, 51532, 54150, 58625, 50839, 51304, 50874, 53339, 51003, 51902, 75342, 54125, 58625, 54728, 52713, 51175, 51733, 53877, 55701, 51572, 54478, 58625, 50834, 51733, 50844, 52196, 51422, 51584, 51422, 50852, 54672, 58625, 54086, 52713, 51167, 51086, 51101, 57986, 51594, 55874, 50916, 50977, 52066, 50456, 58625, 50841, 61084, 51304, 56254, 54421, 58625, 70248, 59700, 59269, 52829, 70963, 51173, 50956, 51591, 50861, 51591, 50877, 51591, 50876, 51591, 51811, 50822, 51615, 51801, 51711, 52096, 52340, 52121, 55159, 78594, 58625, 50841, 51811, 56558, 54080, 58625, 53935, 52713, 51158, 57986, 51594, 50812, 51532, 54150, 58625, 50839, 51304, 50851, 52695, 50915, 52623, 59098, 54125, 58625, 54728, 52713, 51175, 51811, 53877, 55701, 51572, 54478, 58625, 50834, 51085, 50978, 51811, 50844, 51946, 50822, 51555, 56558, 54672, 58625, 60062, 51946, 50897, 51555, 55620, 52713, 51167, 50956, 59408, 65481, 63837, 56702, 51907, 51594, 50812, 51647, 75635, 52695, 50810, 52623, 52863, 58625, 50841, 51304, 56254, 54421, 58625, 50841, 70963, 51173, 50956, 51307, 50861, 51307, 50906, 51307, 50902, 51307, 51811, 50844, 52601, 51109, 51612, 51109, 55159, 78594, 58625, 50841, 51811, 56558, 54080, 58625, 53935, 52713, 51158, 51836, 51159, 51567, 51159, 57986, 51594, 50812, 51532, 54150, 58625, 50839, 51304, 56254, 54125, 58625, 63123, 51946, 51109, 51555, 61148, 52713, 51175, 51811, 53877, 55701, 51572 ]
[ 0, 250, 765, 5175, 25771, 2214, 11, 211, 3694, 6, 19, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 4, 85, 7630, 6568, 10, 19448, 8, 3722, 5466, 6, 10686, 13, 822, 2369, 36546, 4, 20, 33215, 16739, 1575, 211, 119, 8, 163, 428, 73, 495, 6, 8216, 7, 5, 2214, 18, 2933, 8, 15352, 30054, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51214, 51189, 51234, 51189, 50861, 51307, 50906, 51307, 50902, 51307, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 51189, 50871, 51307, 50877, 51307, 50876, 51307, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 51189, 50956, 51307, 50861, 51307, 50906, 51307, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 51189, 50871, 51307, 50877, 51307, 50876, 51307, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 73439, 50951, 58801, 64424, 56217, 50951, 51519, 50287, 55965, 50951, 58801, 64424, 56157, 51214, 51519, 50290, 63191, 53794, 51026, 56934, 50877, 60763, 69517, 50914, 54795, 51189, 51234, 51189, 63766, 53466, 50931, 53308, 50902, 51519, 50287, 55965, 50877, 60763, 65208, 56157, 51214, 51519, 50290, 53794, 50951, 77782, 56934, 50876, 51124, 50956, 63925, 50914, 54795, 51189, 51234, 51189, 50417, 50906, 52871, 50997, 51591, 50956, 51591, 50861, 51591, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 50902, 77782, 56934, 50876, 61581, 53259, 50877, 53259, 54795, 51189, 51234, 51189, 58973, 51894, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 51189, 50423, 50902, 52710, 50906, 60358, 63191, 53308, 50951, 51519, 50287, 55965, 50906, 60358, 63191, 53969, 51214, 51519, 50290, 63191, 53794, 50951, 77782, 56934, 50951, 50849, 54852, 58681, 63191, 51519, 50287, 51189, 51234, 51189, 63766, 51191, 50432, 51214, 50914, 50435, 50902, 52841, 50877, 60763, 65208, 56157, 51214, 51519, 50290, 53794, 50951, 77782, 56934, 50956, 63925, 60763, 50914, 54795, 51189, 51234, 51189, 56363, 51591, 50956, 51591, 50861, 51591, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 50902, 77782, 56934, 50876, 61581, 53259, 50877, 53259, 54795, 51189, 51234, 51189, 58973, 51894, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 51189, 60564, 60358, 63191, 53308, 50951, 51519, 50287, 55965, 50906, 60358, 63191, 53969, 51214, 51519, 50290, 63191, 53794, 51026, 56934, 50877, 60763, 69517, 50914, 54795, 51189, 51234, 51189, 63766, 53466, 50931, 53308, 50902, 51519, 50287, 55965, 50877, 60763, 65208, 56157, 51214, 51519, 50290, 53794, 50951, 77782, 56934, 50876, 51124, 50956, 63925, 50914, 54795, 51189, 51234, 51189, 50417, 50906, 52871, 50997, 51591, 50956, 51591, 50861, 51591, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 50902, 77782, 56934, 50876, 61581, 51894, 50877, 51894, 54795, 51189, 51234, 51189, 58973, 51591, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 50902, 77782, 56934, 50876, 51124, 50899, 63925, 50914, 54795, 51189, 51234, 51189, 50417, 50906, 52871, 50997, 52149, 50899, 52149, 50861, 52149, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 73576, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 73576, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 73576, 51214, 56157, 51214, 51519, 50290, 53794, 50902, 77782, 56934, 50931, 50849, 55694, 60358, 63191, 51519, 50287, 51189, 51234, 70506, 50951, 56217, 51214, 60597, 51189, 50902, 51189, 50951, 69279, 51214, 51519, 50290, 53794, 50906, 60358, 63191, 77782, 56934, 50931, 50849, 55694, 60358, 63191, 51519, 50287, 51189, 51234, 51189, 62143, 51486, 50902, 51486, 50951, 51486, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 56934, 50902, 50849, 54206, 57743, 57669, 58681, 51519, 50287, 51189, 51234, 51189, 58060, 56217, 51214, 64815, 61581, 61915, 60763, 56157, 51214, 51519, 50290, 58801, 53794, 51026, 64815, 53259, 50871, 53259, 50877, 53259, 50902, 53259, 54795, 51189, 51234, 73576, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 56934, 50877, 50849, 56178, 58263, 58801, 58681, 51519, 50287, 51189, 51234, 51189, 58060, 56217, 51214, 69796, 51189, 50861, 51189, 50906, 51189, 50876, 69279, 51214, 51519, 50290, 53794, 50906, 77782, 56934, 50956, 63925, 60597, 64424, 50914, 54795, 51189, 51234, 51189, 58060, 53466, 50956, 51189, 50861, 51189, 50906, 51189, 50876, 73576, 51214, 56157, 51214, 51519, 50290, 58801, 53794, 50906, 77782, 56934, 50906, 50849, 54578, 58801, 60358, 51519, 50287, 51189, 51234, 51189, 63766, 53466, 50931, 53308, 51214, 61581, 60597, 64424, 65208, 56157, 51214, 51519, 50290, 62377, 53794, 50931, 77782, 56934, 50871, 51307, 50906, 51307, 50902, 51307, 50931, 51307, 54795, 51189, 51234, 73576, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 56934, 50902, 50849, 55694, 60358, 63191, 51519, 50287, 51189, 51234, 70506, 50951, 56217, 51214, 60597, 64424, 69517, 56157, 51214, 51519, 50290, 63191, 53794, 50931, 77782, 56934, 50906, 64424, 69517, 50914, 54795, 51189, 51234, 51189, 63766, 53466, 50902, 53308, 51214, 60597, 51103, 50902, 51103, 50931, 64486, 51214, 51519, 50290, 53794, 51026, 56934, 50906, 50849, 54206, 57743, 57669, 58681, 51519, 50287, 51189, 51234, 51189, 58973, 53466, 50902, 53308, 50902, 51519, 50287, 50914, 55898, 61581, 61915, 60763, 56157, 51214, 51519, 50290, 53794, 50906, 77782, 56934, 50899, 51486, 50871, 51486, 50877, 51486, 50902, 51486, 54795, 51189, 51234, 73576, 51214, 56157, 51214, 51519, 50290, 57743, 53794, 50861, 77782, 56934, 50906, 50849, 56178, 58263, 58801, 60358, 51519, 50287, 51189, 51234, 51189, 58060, 53466, 50906, 53308, 51214, 69796, 51591, 50861, 51591, 50906, 51591, 50902, 51591, 50444, 51214, 51519, 50290, 53794, 51026, 50914, 50459, 59285, 56178, 58263, 58801, 60358, 51519, 50287, 51189, 51234, 51189, 58060, 53466, 50906, 53308, 50876, 51124, 51214, 69796, 63925, 69153, 50906, 52597, 51214, 51519, 50290, 58263, 70269, 51026, 50914, 50459, 70835, 54578, 58801, 60358, 51519, 50287, 51189, 51234, 51189, 63766, 53466, 50931, 53308, 51214, 61581, 60597, 64424, 65208, 56157, 51214, 51519, 50290, 60358, 53794, 51026, 61581, 53259, 50906, 53259, 50902, 53259, 50951, 53259, 54795, 50812, 51214, 50812, 51214, 51189, 50417, 51214, 51519, 50287, 59573, 51214, 50812, 51214, 52710, 51214, 51519, 50287, 53308, 51214, 50812, 51214, 50812, 51214, 50914, 50435, 51214, 51519, 50287, 61772, 51214, 50812, 51214, 52597, 51214, 51519, 50287, 51519, 50287, 53794, 51214, 51519, 50287, 77782, 56934, 51214, 51519, 50287, 50849, 54795, 51800, 50287, 51189, 51234, 51189, 50423, 50902, 52710, 50906, 60358, 63191, 53308, 50951, 51519, 50287, 55965, 50906, 60358, 63191, 53969, 51214, 51519, 50290, 63191, 53794, 51026, 56934, 50877, 60763, 69517, 50914, 54795, 51189, 51234, 51189, 63766, 53466, 50931, 53308, 50902, 51519, 50287, 55965, 50877, 60763, 65208, 56157, 51214, 51519, 50290, 53794, 50951, 77782, 56934, 50956, 51124, 71356, 50876, 51124, 54795, 51189, 51234, 51189, 50417, 50906, 52871, 50997, 51591, 50956, 51591, 50861, 51591, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 50902, 77782, 56934, 50876, 61581, 53259, 50877, 53259, 54795, 51189, 51234, 51189, 58973, 51894, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 51189, 50423, 50902, 52710, 50906, 60358, 63191, 53308, 50951, 51519, 50287, 55965, 50906, 60358, 63191, 53969, 51214, 51519, 50290, 63191, 53794, 50951, 77782, 56934, 50951, 50849, 54852, 58681, 63191 ]
[ 0, 713, 8787, 5175, 15229, 6, 30291, 19, 4785, 9, 3495, 6, 30853, 23, 10, 7212, 20889, 9, 12747, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 24, 1575, 10, 15352, 30054, 3222, 5785, 227, 21979, 8, 3459, 29589, 6, 10, 3152, 6757, 6, 3459, 9590, 6, 8, 21072, 6, 2351, 10, 19448, 8, 1372, 5466, 14, 115, 2773, 15658, 1495, 7, 10, 822, 19834, 4, 20, 2125, 16, 17407, 30, 10, 33215, 16739, 9, 211, 119, 6, 1918, 6, 3676, 6, 8, 381, 6, 1271, 7, 63, 33558, 8, 17627, 17274, 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 ]	[ 56103, 74912, 77844, 51479, 53576, 53583, 50961, 51694, 54094, 52265, 51479, 50961, 69615, 58772, 50791, 63247, 61576, 51068, 50883, 51899, 51239, 50839, 51453, 58660, 50801, 50883, 51528, 61732, 54003, 52432, 51320, 50961, 51694, 51928, 64124, 50961, 53550, 53404, 60376, 52356, 67327, 50801, 50839, 51528, 51239, 77844, 51479, 53576, 53583, 55800, 51068, 54844, 53230, 51479, 50961, 69615, 58772, 52112, 51180, 55254, 51068, 52050, 51044, 50839, 51453, 57335, 50801, 50961, 51528, 51179, 77844, 51479, 53576, 51320, 53087, 51068, 52050, 52209, 51479, 50883, 69615, 73744, 57681, 52060, 61194, 66079, 51180, 50386, 52897, 58017, 52060, 51031, 51899, 51239, 79349, 50817, 51207, 51012, 54432, 52325, 51230, 51985, 51031, 52012, 50942, 51131, 50948, 50461, 50801, 50949, 53285, 51520, 51239, 50385, 55958, 50817, 52012, 50950, 51131, 60442, 51479, 52432, 53583, 80148, 51068, 55800, 51195, 67040, 52209, 51443, 50923, 51223, 54390, 50898, 53294, 51069, 50930, 51185, 50936, 51023, 51138, 51223, 56081, 51139, 58772, 52112, 50444, 51020, 50829, 51223, 53111, 71540, 51185, 57322, 70259, 51023, 51014, 51195, 56675, 52050, 51044, 52579, 51403, 50855, 51762, 50461, 51223, 53735, 50883, 53285, 50821, 51092, 51160, 51020, 51227, 53752, 77844, 51223, 54169, 50898, 52432, 51320, 69356, 51195, 77996, 51973, 51068, 52050, 57286, 51513, 56693, 51443, 50824, 51020, 51055, 51083, 51380, 51479, 73957, 51195, 50827, 70960, 58772, 51023, 51187, 52210, 51069, 50840, 51089, 50818, 51223, 55181, 55254, 50964, 50949, 78233, 51195, 57517, 52050, 51044, 55223, 73500, 54432, 52325, 50964, 79851, 50860, 51762, 50457, 52012, 50940, 51131, 50948, 50461, 51223, 55503, 50961, 53285, 51520, 51044, 56868, 52012, 75317, 51014, 50419, 51223, 54036, 50898, 53576, 51320, 53087, 51195, 53972, 52050, 52927, 51443, 50976, 51479, 73957, 51223, 54123, 66670, 51185, 50911, 51023, 50802, 51897, 58772, 52112, 50444, 51020, 50836, 51355, 50882, 51513, 51156, 71309, 51092, 53938, 50964, 51237, 51185, 50936, 51223, 59172, 52050, 51044, 55223, 51023, 52935, 51403, 50813, 77774, 52105, 50461, 50801, 50949, 53285, 50940, 51020, 51255, 51092, 51427, 51195, 50921, 52358, 77844, 51479, 52432, 51223, 58597, 50898, 55800, 51195, 70547, 56289, 52265, 51443, 52651, 50898, 65109, 51020, 51157, 51083, 53697, 51223, 50908, 70960, 58772, 50791, 52210, 51443, 50936, 51536, 50962, 51250, 51156, 65266, 51089, 66578, 57887, 51069, 51227, 51223, 50368, 51822, 52050, 51239, 50839, 51207, 59712, 54432, 61063, 51223, 50854, 52105, 52012, 50925, 51131, 73056, 50801, 50961, 53285, 53236, 51239, 50961, 52012, 50950, 51131, 66305, 51223, 61732, 51479, 53576, 51250, 50930, 51355, 59932, 58094, 50386, 55958, 60879, 51513, 52968, 51195, 66610, 52927, 51443, 50911, 51223, 56081, 50898, 53294, 51069, 75252, 51012, 51023, 50860, 51897, 58772, 51223, 51559, 53239, 51020, 51559, 71309, 51092, 60145, 51536, 56675, 52568, 50964, 51090, 51185, 50806, 51023, 51012, 51250, 52791, 51239, 57583, 51223, 54038, 51403, 50857, 51762, 50461, 50801, 50961, 53285, 76334, 51483, 51020, 51111, 53752, 77844, 51479, 52432, 51320, 53087, 51195, 51010, 51355, 50880, 51513, 56564, 53412, 52209, 51443, 51016, 51020, 51735, 51195, 55503, 50898, 65109, 51083, 51312, 70960, 78684, 50791, 52210, 51069, 78103, 52465, 65266, 51089, 59869, 53153, 50964, 50846, 50927, 51286, 51536, 50821, 51250, 52409, 51044, 56340, 56721, 73500, 54432, 60345, 70587, 52105, 50457, 51131, 50940, 52012, 74369, 50801, 50961, 53285, 51033, 52358, 50883, 51131, 51014, 50415, 52012, 60442, 51479, 53576, 51223, 56240, 50898, 55800, 51195, 50880, 51513, 77996, 76409, 60903, 52050, 52209, 51443, 51505, 51479, 54968, 51069, 50894, 51185, 51030, 51023, 51138, 51195, 58011, 51130, 58772, 52112, 50444, 64020, 51092, 50857, 51223, 52223, 53711, 50964, 51090, 51185, 51021, 51023, 50925, 51536, 50821, 51250, 52791, 51239, 56396, 52193, 51403, 50867, 52105, 50461, 51829, 51237, 52328, 65221, 50883, 53285, 74368, 51354, 51020, 51111, 52358, 77844, 51479, 52432, 51223, 52923, 50898, 55800, 52333, 51566, 51982, 51054, 51829, 50829, 51195, 68676, 50846, 51355, 54473, 52209, 51443, 50930, 51020, 50889, 51083, 50995, 51513, 50837, 51195, 56081, 50898, 69201, 52060, 57776, 51456, 52676, 50927, 51031, 51105, 50976, 51676, 51286, 51829, 51025, 52333, 50870, 51223, 53672, 51130, 58772, 50791, 52210, 65340, 51023, 50882, 51089, 50880, 51223, 50373, 53823, 50898, 55254, 64504, 51676, 50860, 51914, 50950, 51536, 50821, 51250, 65021, 52050, 51179, 55223, 73500, 54432, 72670, 52356, 55891, 51443, 51505, 51617, 51226, 51953, 50824, 52105, 52012, 51014, 51131, 73056, 50801, 50883, 53285, 53236, 51239, 50883, 51131, 51010, 52012, 58320, 52395, 50817, 54010, 55265, 52652, 51010, 50419, 52395, 54452, 50898, 52432, 51320, 64246, 51676, 50820, 53990, 50817, 55320, 76255, 51829, 54579, 52652, 61083, 52395, 72309, 57463, 54392, 53145, 58096, 52050, 50846, 51207, 51388, 50929, 51379, 50428, 52652, 54056, 52395, 58607, 53990, 50811, 55320, 52726, 51443, 51173, 51479, 72090, 52652, 53660, 52395, 79737, 54010, 50811, 52395, 52676, 51069, 55461, 51041, 58772, 50791, 52210, 51020, 50884, 51092, 51187, 55254, 50964, 51237, 51676, 50993, 51829, 51427, 58413, 56396, 63359, 50820, 51207, 50930, 50929, 65175, 50801, 50961, 53285, 50821, 54010, 50811, 52395, 52220, 51044, 50961, 50416, 52652, 60442, 52395, 53243, 50898, 53576, 53990, 51031, 55320, 65440, 66774, 52652, 51010, 50424, 52395, 54392, 57463, 50930, 53145, 54736, 52050, 70690, 52652, 76526, 52395, 54154, 51443, 50824, 53990, 50811, 55320, 52750, 50898, 72090, 52652, 54496, 52395, 52952, 54010, 51010, 52395, 52750, 51139, 58772, 52112, 50444, 51069, 52675, 55254, 62644, 52328, 51354, 51829, 50975, 51068, 52050, 51179, 50839, 73500, 54432, 79596, 50841, 52012, 50942, 51131, 50936, 50461, 50801, 50883, 53285, 53235, 51239, 50961, 52012, 75317, 58197, 54010, 50811, 52395, 55265, 52652, 50894, 50419, 52395, 53243, 50898, 52432, 53990, 50817, 55320, 65440, 58980, 52652, 67596, 52395, 52329, 57463, 50887, 53145, 54736, 52050, 54013, 52652, 64247, 52395, 50855, 52825, 52925, 51443, 50923, 53990, 50811, 55320, 52750, 50898, 65625, 52652, 66248, 52395, 68231, 54010, 52057, 51069, 50962, 51185, 50948, 51023, 51138, 51897, 62968, 52652, 62505, 52395, 59586, 53990, 50811, 55320, 51156, 53239, 51020, 51539, 63281, 52652, 57782, 52395, 63154, 51185, 50936, 57463, 50821, 53145, 54736, 52568, 50964, 51237, 51023, 51045, 55901, 60752, 52652, 58629, 52395, 70332, 53990, 50811, 55320, 56354, 51403, 50840, 51762, 50457, 52652, 59022, 52395, 71154, 54010, 50803, 52395, 52750, 50883, 53285, 76334, 51160, 51020, 51345, 53752, 64664, 52652, 61429, 52395, 60400, 53990, 50811, 55320, 52750, 50898, 53576, 51320, 64246, 52652, 53184, 52395, 61057, 57463, 50821, 53145, 54736, 50817, 51694, 57982, 52652, 54935, 52395, 60519, 53990, 50811, 55320, 52726, 51443, 50882, 51020, 51055, 51083, 51253, 51479, 72090, 52652, 54125, 52395, 75719, 52395, 50811, 54010, 52057, 50927, 50883, 51105, 50976, 51897, 58772, 51023, 51406, 53239, 65557, 51089, 51044, 55254, 50964, 51566, 51676, 51653, 51829, 51460, 51068, 52050, 51044, 57143, 51207, 51012, 54432, 52325, 52356, 50898, 57620, 52012, 50921, 51131, 50948 ]
[ 0, 250, 765, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 4246, 10, 385, 922, 438, 15677, 8, 2352, 6757, 4, 590, 10, 1769, 20889, 8, 278, 11, 211, 3694, 6, 24, 7630, 6568, 41, 9066, 8, 28339, 6711, 6, 442, 24, 10686, 13, 814, 5422, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 428, 6, 2344, 757, 6, 83, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50441, 56475, 50827, 54304, 63107, 57057, 50827, 54391, 66823, 56475, 50851, 54304, 73173, 64822, 50822, 55339, 65732, 56475, 50864, 54304, 64459, 59333, 50886, 55010, 57187, 56475, 50851, 54304, 50851, 50799, 57673, 50886, 54602, 58671, 56475, 50941, 54304, 54819, 60251, 50827, 57719, 53591, 56475, 50851, 54304, 53220, 57673, 50874, 54602, 58519, 56475, 50851, 54304, 54150, 59333, 50822, 55010, 54378, 56475, 50851, 54304, 53269, 64822, 50874, 55339, 58666, 56475, 50912, 54304, 54947, 65097, 50827, 55546, 54043, 56475, 50907, 54304, 54626, 68740, 50874, 57237, 59835, 56475, 50971, 54304, 55835, 60251, 50874, 57719, 64074, 56475, 50912, 54304, 50912, 50799, 57673, 50822, 54602, 58172, 56475, 50851, 54304, 54711, 60251, 50822, 57719, 65532, 56475, 50827, 54304, 63074, 57673, 50955, 54602, 50955, 50428, 56475, 50904, 54304, 66059, 59333, 50864, 55010, 59816, 56475, 50912, 54304, 66186, 64822, 50827, 55339, 80031, 57033, 51008, 55849, 51008, 50443, 58273, 50822, 56665, 50912, 56146, 50822, 57255, 51079, 50446, 57033, 50959, 55849, 50959, 50449, 63826, 50959, 56967, 58248, 57057, 50907, 54391, 51376, 50452, 57033, 50822, 55849, 66968, 62760, 51022, 56475, 50844, 55128, 51387, 54304, 63316, 57033, 50822, 55849, 61982, 57057, 50955, 72282, 51142, 54391, 50955, 56445, 51079, 51809, 57033, 50874, 55849, 76687, 56665, 50878, 65097, 50851, 57255, 50878, 55546, 51174, 50422, 57033, 51008, 55849, 51008, 50425, 72282, 50851, 57057, 50959, 56445, 50972, 54391, 50959, 50428, 57033, 50827, 55849, 67825, 62760, 50907, 56475, 50874, 55128, 51074, 54304, 68163, 57033, 50851, 55849, 64704, 63826, 51051, 57673, 50984, 56967, 51051, 54602, 50984, 50440, 57033, 50874, 55849, 79174, 57673, 50822, 50666, 50303, 50907, 54602, 50822, 66205, 51376, 50446, 57033, 50959, 55849, 50959, 50449, 67374, 50907, 59333, 50878, 54977, 51074, 55010, 50878, 50452, 57033, 50955, 55849, 74799, 56665, 50854, 65097, 50827, 57255, 50854, 55546, 51277, 50458, 57033, 50959, 55849, 79076, 57057, 50978, 72282, 51051, 54391, 50978, 56445, 50972, 51809, 57033, 50933, 55849, 50933, 50419, 65097, 50827, 56665, 50959, 55546, 50838, 57255, 65023, 57033, 51051, 55849, 51051, 50425, 57057, 51051, 72282, 51022, 54391, 51051, 56445, 52192, 50428, 57033, 50874, 55849, 72479, 56475, 50827, 50666, 50303, 51123, 54304, 50827, 66205, 51123, 50434, 57033, 51058, 55849, 60465, 67374, 50984, 63826, 51008, 54977, 50984, 56967, 51008, 50441, 57057, 51000, 54391, 57522, 57033, 50827, 67374, 51051, 55849, 50827, 54977, 77302, 57057, 50941, 54391, 69698, 63826, 50867, 57673, 50851, 56967, 50867, 54602, 50851, 50452, 57057, 50851, 54391, 75635, 57033, 50810, 57673, 50904, 55849, 50810, 54602, 66460, 57057, 50864, 54391, 58449, 50666, 50324, 50854, 62760, 50912, 62882, 50854, 55128, 50912, 51809, 71628, 50827, 56283, 73616, 57057, 50822, 62760, 51123, 54391, 50822, 55128, 51123, 50422, 71628, 51123, 56283, 51123, 50425, 50666, 50324, 50827, 62882, 52580, 62760, 51126, 55128, 51126, 50428, 71628, 51000, 56283, 71371, 62760, 51128, 57057, 50851, 55128, 51128, 54391, 63163, 71628, 50984, 56283, 68863, 62760, 51000, 58273, 50912, 55128, 51000, 56146, 50912, 50440, 64822, 51126, 55339, 51126, 50443, 56475, 50912, 62760, 51000, 54304, 50912, 55128, 75106, 64822, 50984, 55339, 50984, 50448, 58273, 50851, 56146, 70936, 62760, 50912, 55128, 75030, 64822, 50851, 55339, 65126, 56475, 50822, 54304, 66968, 62760, 50971, 55128, 77379, 64822, 50904, 55339, 69309, 57033, 50854, 55849, 64098, 72282, 50971, 56445, 50971, 51809, 57673, 50904, 54602, 68349, 64822, 50810, 72282, 50907, 55339, 50810, 56445, 71871, 57673, 50907, 54602, 76785, 57033, 50827, 72282, 50971, 55849, 50827, 56445, 70898, 57673, 51128, 54602, 69957, 72282, 51126, 64822, 50822, 56445, 51126, 55339, 59909, 57673, 50941, 54602, 65219, 72282, 50971, 63826, 50851, 56445, 50971, 56967, 74787, 59333, 50971, 55010, 56069, 57057, 50827, 72282, 51000, 54391, 50827, 56445, 70003, 59333, 50912, 55010, 54823, 63826, 50851, 72282, 50904, 56967, 50851, 56445, 60554, 59333, 51000, 55010, 51000, 50455, 57057, 50822, 54391, 53820, 72282, 50904, 56445, 66460, 59333, 50904, 55010, 50904, 50799, 65097, 50851, 61051, 50813, 55546, 50851, 58827, 57780, 60251, 50851, 57719, 54711, 59333, 50810, 65097, 50912, 55010, 50810, 55546, 56779, 60251, 50912, 57719, 54325, 61051, 50844, 65097, 50864, 58827, 50844, 55546, 63444, 60251, 50827, 57719, 67825, 65097, 50971, 55546, 55487, 59333, 50827, 55010, 63221, 60251, 50907, 57719, 54584, 73805, 50907, 56475, 50851, 57281, 50907, 54304, 74787, 57673, 51022, 54602, 51022, 50443, 73805, 50907, 57281, 54682, 64822, 50912, 55339, 71095, 57673, 51000, 54602, 69875, 73805, 50907, 57281, 54626, 56475, 50907, 54304, 50907, 50452, 57673, 51269, 54602, 51269, 50455, 73805, 50984, 57281, 56838, 64822, 50907, 55339, 72740, 57673, 50984, 54602, 50984, 50799, 57057, 51365, 77027, 51126, 54391, 51365, 57862, 51126, 50416, 72282, 51269, 56445, 64080, 60251, 50851, 77027, 50984, 57719, 50851, 57862, 57079, 72282, 51126, 56445, 57203, 57057, 50907, 77027, 51000, 54391, 50907, 57862, 63369, 72282, 51128, 56445, 69957, 77027, 51123, 57862, 57959, 60251, 50851, 57719, 63163, 72282, 51126, 56445, 70008, 50666, 50299, 50907, 56487, 54584, 64822, 50912, 55339, 50912, 50440, 65097, 52134, 55546, 52134, 50443, 50666, 50299, 50907, 57673, 50912, 56487, 50907, 54602, 71095, 65097, 50941, 55546, 69698, 50666, 50299, 50971, 64822, 50912, 56487, 50971, 55339, 50912, 50452, 65097, 50827, 55546, 68926, 57673, 50851, 50666, 50299, 51126, 54602, 50851, 56487, 51126, 50458, 65097, 50971, 55546, 65540, 77027, 50941, 59333, 51142, 57862, 50941, 55010, 51142, 51809, 67374, 50971, 54977, 72428, 77027, 50971, 72282, 50851, 57862, 50971, 56445, 65173, 67374, 50984, 54977, 50984, 50425, 77027, 51126, 59333, 50912, 57862, 51126, 55010, 50912, 50428, 67374, 51126, 54977, 51126, 50431, 77027, 50984, 72282, 50874, 57862, 50984, 56445, 68163, 67374, 50984, 54977, 68863, 73805, 50874, 65097, 50874, 57281, 50874, 55546, 50874, 50440, 70032, 50854, 61854, 75636, 77027, 50864, 65097, 50874, 58456, 50854, 57862, 50864, 55546, 50874, 59058, 68785, 70032, 50833, 61854, 62955, 65097, 50874, 73344, 50910, 50666, 50299, 50827, 55546, 50874, 58757, 50910, 56487, 50827, 50452, 70032, 50854, 61854, 68384, 65097, 50941, 55546, 55293, 67374, 50851, 60017, 50854, 54977, 50851, 55585, 63181, 70032, 50925, 61854, 50925, 50799, 65097, 50851, 57033, 50897, 73805, 50822, 55546, 50851, 55849, 50897, 57281, 58172, 70032, 50810, 61854, 53066, 61051, 50854, 77027, 50851, 65097, 50827, 58827, 50854, 57862, 50851, 55546, 53591, 70032, 50810, 61854, 52654, 57033, 50854, 73805, 50844, 65097, 50874, 55849, 50854, 57281, 50844, 55546, 58519, 70032, 50844, 61854, 53513, 50666, 50298, 50912, 60017, 50810, 65097, 50907, 64655, 50912, 55585, 50810, 55546, 76969, 70032, 50854, 61854, 54181, 65097, 50874, 73344, 50833, 50666, 50299, 50874, 55546, 50874, 58757, 50833, 56487, 50874, 50440, 70032, 50810, 61854, 53103, 50666, 50298, 50827, 56475, 50810, 65097, 50827, 64655, 50827, 54304, 50810, 55546, 62182, 70032, 50844, 61854, 64913, 55251, 50878, 56968, 56060, 50666, 50299, 50827, 65097, 50912, 56487, 50827, 55546 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 483, 7513, 30, 10, 6755, 12547, 6, 21072, 6, 8, 31391, 1672, 9590, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 16219, 3618, 13569, 9862, 10686, 13, 2365, 50, 1619, 9629, 4, 20, 33215, 16739, 9, 1918, 6, 83, 406, 6, 211, 119, 6, 1918, 6, 8, 163, 406, 3639, 7, 63, 32076, 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 ]	[ 57211, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 57211, 51181, 51627, 50871, 51645, 51120, 51314, 51251, 51447, 51154, 51447, 51113, 51447, 50850, 55085, 51684, 52081, 50301, 52136, 50850, 54278, 51684, 77798, 51330, 51007, 53961, 51684, 57712, 51867, 50320, 54014, 51181, 51627, 50871, 51645, 51120, 51314, 51154, 51447, 51113, 51447, 51357, 51447, 51107, 51447, 51257, 55040, 51684, 52081, 50301, 52136, 51149, 54356, 51684, 52081, 50303, 51330, 51007, 54752, 51684, 57712, 69216, 50866, 57530, 51181, 51627, 50871, 51645, 51120, 51314, 51154, 51447, 51113, 51447, 51093, 51447, 51107, 51447, 51149, 51025, 50415, 50628, 50417, 50628, 50418, 50627, 50420, 50627, 51684, 52081, 50301, 52136, 50421, 50627, 50422, 50627, 50424, 50627, 50425, 50624, 50426, 50627, 51684, 74623, 51330, 51007, 51115, 50427, 50624, 50428, 50625, 50430, 50625, 50431, 50625, 50432, 51684, 57712, 50972, 50433, 50625, 50434, 50625, 50436, 50625, 50437, 50625, 80212, 51181, 51627, 51120, 51244, 51154, 51447, 51113, 51447, 51357, 51447, 51107, 51447, 50439, 50626, 50440, 50626, 50441, 50627, 50442, 50627, 50443, 50627, 50444, 50628, 51684, 52081, 50301, 51965, 50447, 50625, 50448, 50626, 50449, 50626, 50450, 50626, 51684, 52081, 50303, 51333, 50451, 50626, 50452, 50626, 50453, 50626, 50454, 50626, 50455, 50627, 50456, 50627, 51684, 57712, 51079, 50457, 50627, 50458, 50627, 50459, 50627, 50460, 50627, 50461, 50627, 56103, 51181, 51627, 51120, 51243, 51491, 51671, 51113, 51671, 51093, 51671, 51107, 51671, 64803, 50417, 50628, 50420, 51684, 52081, 50301, 51447, 64803, 50421, 50628, 78523, 51466, 50424, 50627, 50426, 51684, 73455, 52916, 67138, 50427, 50627, 50430, 50627, 50432, 51684, 51309, 50877, 51680, 60395, 50433, 50627, 50436, 50627, 59501, 51627, 69776, 50439, 50627, 50442, 50627, 50444, 51684, 74623, 70111, 50866, 50445, 50626, 50448, 50626, 50450, 51684, 52081, 50301, 51108, 67138, 50452, 50626, 50455, 50626, 50456, 51684, 58753, 70111, 69941, 50626, 50461, 50626, 53053, 51627, 50906, 51645, 51026, 51314, 51251, 51447, 51088, 51447, 51165, 51447, 50847, 51452, 50420, 52993, 77798, 52136, 50426, 52993, 64007, 70550, 52993, 57292, 50972, 50433, 50631, 50434, 50631, 50435, 50630, 50436, 50630, 50437, 50629, 50438, 50629, 51137, 51627, 51026, 51244, 51301, 51447, 51088, 51447, 51165, 51447, 51107, 51447, 50439, 50629, 50440, 50628, 50441, 50628, 50442, 50627, 50443, 50627, 50444, 50627, 52993, 77798, 51965, 50446, 50626, 50450, 52993, 52081, 50308, 51333, 51007, 51025, 50451, 50625, 50452, 50625, 50453, 50625, 50454, 50625, 50455, 50624, 50456, 50624, 52993, 57292, 51079, 50457, 50624, 50458, 50624, 50459, 50624, 50460, 50624, 50461, 50625, 57448, 51137, 51627, 51026, 51243, 51251, 51671, 51088, 51671, 51165, 51671, 69776, 50415, 50625, 50416, 50626, 50419, 50626, 50420, 52993, 77798, 51447, 69776, 50421, 50626, 50423, 50626, 50861, 68289, 50626, 52993, 64237, 52916, 77216, 50428, 50627, 50431, 50627, 50432, 52993, 51309, 50902, 51680, 51257, 50866, 50433, 50627, 50435, 50627, 50438, 50627, 51137, 51627, 51439, 50866, 51439, 50866, 50440, 50627, 50443, 50627, 50444, 52993, 64007, 53680, 50321, 50866, 50445, 50628, 50447, 50628, 50450, 50628, 52993, 77798, 51108, 77216, 50452, 50628, 50455, 50628, 50456, 52993, 55332, 53680, 50318, 50866, 50457, 50628, 50458, 50628, 50460, 50628, 56103, 51181, 51627, 51120, 51244, 51154, 51447, 51113, 51447, 51093, 51447, 51107, 51447, 51257, 51025, 50415, 50626, 50416, 50627, 50417, 50628, 50418, 50624, 50420, 51684, 52081, 50301, 51965, 50426, 51684, 74623, 51333, 51007, 51115, 50428, 50624, 50430, 50624, 50432, 50625, 51684, 57712, 51079, 50434, 50625, 50436, 50625, 50438, 50625, 51181, 51627, 51120, 51244, 51154, 51447, 51113, 51447, 51357, 51447, 51107, 51447, 50440, 50625, 50442, 50625, 50443, 50626, 50444, 50626, 51684, 52081, 50301, 51965, 50445, 50626, 50446, 50627, 50447, 50627, 50448, 50627, 50449, 50627, 50450, 50628, 51684, 52081, 50303, 51333, 51007, 51025, 50451, 50628, 50452, 50628, 50453, 50629, 50454, 50629, 50456, 51684, 57712, 51079, 50458, 50627, 50459, 50626, 50460, 50626, 50461, 50625, 57128, 51374, 51627, 51315, 51244, 52065, 51447, 51301, 51447, 51375, 51447, 77216, 50415, 50624, 50416, 50624, 50417, 50624, 50418, 50625, 50419, 50625, 50420, 50626, 52474, 52081, 50303, 51965, 69776, 50421, 50626, 50422, 50627, 50423, 50627, 50424, 50627, 50425, 50627, 50426, 50628, 52474, 52081, 50308, 51333, 51125, 50866, 50428, 50628, 50430, 50628, 50432, 50628, 52474, 59316, 72275, 72300, 50628, 50435, 50628, 50436, 50628, 50437, 50628, 50438, 50627, 51374, 51627, 51315, 51244, 51251, 51447, 51301, 51447, 51375, 51447, 51357, 51447, 77216, 50439, 50627, 50440, 50627, 50441, 50626, 50442, 50626, 50443, 50626, 50444, 50626, 52474, 52081, 50303, 51965, 69776, 50446, 50625, 50447, 50625, 50449, 50625, 50450, 50625, 52474, 77798, 51333, 51125, 50866, 50451, 50625, 50453, 50625, 50454, 50624, 50455, 50624, 50456, 52474, 59316, 72275, 50866, 50457, 50624, 50458, 50624, 50460, 50624, 50461, 50621, 72191, 51349, 51627, 51027, 51243, 51794, 51671, 51301, 51671, 51113, 51671, 51149, 71215, 54144, 52081, 50308, 51447, 50423, 50877, 68289, 50625, 54144, 52081, 50317, 52916, 50432, 54144, 51309, 50968, 51680, 50438, 50628, 51349, 51627, 50444, 54144, 64215, 59914, 54144, 52081, 50308, 51108, 50453, 50625, 50456, 54144, 56943, 51166, 50459, 50626, 50460, 50626, 50461, 50625, 57448, 51349, 51351, 55159, 80237, 79270, 50877, 51423, 51028, 51423, 56911, 51027, 50915, 51768, 55168, 76329, 68622, 71869, 51028, 51101, 51257, 59102, 51349, 53530, 70015, 50625, 51349, 51419, 55159, 50877, 51310, 51028, 51448, 50916, 51448, 50861, 51448, 51257, 51025, 51257, 51025, 50440, 50625, 50442, 50624, 50444, 50624, 51892, 50877, 51542, 50446, 50624, 50448, 50624, 50450, 50624, 50903, 55168, 51028, 51221, 51149, 51025, 50452, 50624, 50454, 50624, 50456, 50623, 51349, 53877, 56619, 50968, 63569, 50623, 50460, 50623, 50461, 50631, 51057, 50632, 51181, 51351, 55159, 50899, 51535, 70837, 75474, 51149, 51025, 50415, 50632, 50416, 50631, 50417, 50630, 56911, 51768, 55168, 51007, 53961, 51181, 53530, 56619, 75552, 51007, 51109, 50435, 62804, 51057, 51181, 51419, 55159, 50899, 51535, 70837, 75474, 56911, 69776, 51768, 55168, 51007, 53961, 51181, 53877, 56619, 75552, 50909, 57815, 62804, 51057, 51137, 51419, 55159, 50861, 51310, 50906, 51448, 50899, 51448, 50909, 51025, 56911, 50861, 51542, 51768, 55168, 50906, 51221, 50939, 53961, 51137, 53877, 56619, 64062, 50939, 51109, 51057, 51137, 51351, 55159, 50861, 51310, 50906, 51448, 50899, 51448, 56911, 50861, 51542, 57420, 51768, 55168, 50906, 51221, 50850, 53961, 51137, 53530, 56619, 64062, 67138, 51057, 51416, 51351, 55159, 50900, 51310, 50916, 51448, 50861, 51448, 50909, 51134, 56911, 50900, 51542, 51768, 55168, 50916, 78265, 51416, 53530, 56619, 58893, 69776, 51057, 51416, 51351, 55159, 50916, 51423, 79270, 50906, 51423, 50876, 51423, 77216, 56911, 51085, 50915, 69776, 51768, 55168, 67032, 68622, 69391, 72917, 50909, 53961, 51416, 53530, 56619, 67138, 51057, 51132, 51419, 55159, 74720, 67137, 67663, 76064, 56911, 76663, 51132, 53877, 56619, 51057, 51132, 51351, 55159, 50900, 51423, 80237 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 13305, 14, 1974, 10, 1769, 12, 20764, 33301, 11, 155, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 42, 765, 2125, 7630, 6568, 10, 1472, 9, 657, 8, 26545, 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, 0, 0, 0, 0, 0, 0 ]	[ 67833, 59419, 61306, 58327, 50981, 71213, 59219, 58327, 51741, 50285, 51490, 51050, 51490, 53523, 58194, 59219, 56692, 51027, 62447, 58194, 50981, 77575, 51517, 50303, 65377, 51741, 50280, 51490, 51085, 51490, 57025, 51283, 50900, 51283, 50871, 51310, 55513, 57712, 56943, 50892, 74968, 51490, 51050, 51490, 50902, 53753, 56207, 62447, 51748, 50438, 52046, 52845, 50295, 71562, 50932, 51034, 51799, 51490, 51120, 51490, 50989, 51080, 50425, 50902, 51419, 50426, 51146, 56656, 51028, 55200, 50902, 50892, 51034, 50951, 69836, 52528, 50871, 52528, 50973, 67778, 50931, 56692, 50902, 50981, 68321, 77418, 62722, 50981, 53337, 77418, 60473, 60700, 56692, 50916, 77418, 58327, 65300, 50981, 71213, 52845, 50313, 58327, 60700, 58326, 50973, 60700, 51517, 50324, 51517, 50330, 56692, 50876, 60700, 70453, 74616, 50981, 51034, 50931, 51145, 50416, 51062, 51145, 50417, 51339, 51448, 50419, 50623, 51814, 51448, 50438, 50637, 51027, 65594, 56943, 55512, 58363, 55103, 51176, 65594, 61418, 58902, 68434, 50905, 51034, 50902, 64924, 51911, 50299, 52431, 50871, 51592, 50906, 51243, 60718, 64924, 56656, 50902, 64924, 50995, 64507, 74471, 60473, 64924, 50995, 53523, 65768, 51283, 50968, 51283, 50951, 51318, 50951, 51318, 50444, 50968, 66386, 50905, 78031, 60250, 51911, 50301, 52431, 50916, 51592, 50861, 51592, 56546, 60250, 56656, 50876, 60250, 50995, 68866, 66719, 59219, 58327, 60250, 50995, 53337, 68295, 51283, 50902, 51283, 50931, 51318, 50931, 51318, 67964, 59023, 50905, 51034, 50906, 63211, 51911, 50299, 52431, 50899, 51592, 50871, 51592, 60564, 63211, 56656, 50906, 63211, 50995, 51034, 50968, 75511, 51911, 50292, 51447, 50916, 75489, 51080, 56546, 60250, 56656, 50997, 74471, 61306, 60473, 64924, 50995, 74968, 51447, 50877, 53487, 50877, 53487, 54439, 54498, 51085, 66719, 50932, 78458, 68589, 51447, 54569, 52688, 50900, 54498, 51176, 66719, 70713, 60473, 64924, 50995, 51034, 50931, 79442, 51911, 50299, 52431, 50871, 51592, 50906, 51592, 60718, 64924, 56656, 50906, 63211, 50995, 51034, 50902, 64924, 60367, 75489, 51080, 51085, 52431, 60564, 63211, 56656, 50997, 62447, 65377, 72272, 50995, 80055, 62447, 51517, 50285, 52431, 50871, 51662, 50871, 51662, 60718, 60700, 70453, 51517, 50330, 54498, 50876, 60700, 70453, 74616, 50932, 64507, 51447, 56248, 61306, 60473, 54498, 50876, 59258, 50915, 71213, 61817, 60250, 59258, 51619, 50297, 51314, 53523, 51318, 50871, 51318, 68485, 50877, 64632, 51027, 61875, 60236, 59198, 50845, 77575, 51911, 50303, 72272, 60817, 51619, 50292, 51314, 57025, 51318, 50900, 51318, 74228, 50871, 64632, 50877, 57069, 50845, 64688, 52140, 50902, 52919, 50902, 52919, 53645, 59023, 61875, 51314, 59409, 54137, 50871, 59023, 55103, 50876, 50905, 78458, 51148, 50965, 51148, 51085, 52140, 53523, 67608, 50973, 61622, 53999, 50876, 57586, 50845, 51034, 50951, 64951, 73657, 52140, 50876, 51662, 50426, 50931, 67883, 58134, 67608, 50968, 68504, 50915, 51034, 50951, 64951, 51619, 50300, 52140, 50973, 51662, 50426, 50931, 67883, 58134, 51314, 66836, 61739, 50915, 72151, 51449, 50906, 52919, 50906, 52919, 53337, 59783, 50995, 55898, 75286, 50995, 71543, 51662, 50871, 51662, 50426, 51214, 51314, 60496, 57069, 53999, 50876, 57586, 50845, 68321, 72272, 61817, 58421, 51619, 50292, 52140, 53523, 72272, 61817, 58421, 54975, 51086, 71326, 66784, 66751, 50915, 51034, 65218, 65218, 51085, 52140, 56759, 51148, 50916, 65680, 50968, 61527, 53999, 50951, 61352, 50845, 51034, 50968, 68504, 51619, 50285, 51314, 50871, 51662, 50877, 51662, 50876, 51662, 50426, 50968, 68504, 54975, 51085, 75939, 69928, 50915, 80055, 51314, 74655, 74655, 53645, 61817, 56656, 50902, 59374, 51455, 50300, 64636, 60250, 59791, 50968, 61527, 50845, 51034, 50931, 67883, 51619, 50299, 51662, 50861, 51662, 50973, 51662, 50426, 50968, 68504, 54975, 50931, 67883, 50915, 51034, 51214, 51314, 50968, 51047, 50968, 51047, 53645, 59783, 67888, 56656, 51028, 69791, 53999, 50902, 59374, 50845, 51034, 50634, 50906, 64924, 79442, 67883, 51619, 50292, 51662, 53645, 63211, 64924, 61739, 54975, 50899, 60367, 63211, 60006, 50915, 71543, 60367, 51911, 50292, 51314, 50997, 51314, 65218, 65218, 53523, 72272, 56656, 50637, 50876, 59258, 50915, 71213, 61817, 60250, 59258, 51619, 50297, 51314, 53523, 51318, 50871, 51318, 68485, 50877, 64632, 51027, 61875, 60236, 59198, 50845, 77575, 51911, 50303, 72272, 60817, 51619, 50292, 51314, 57025, 51318, 50900, 51318, 74228, 50871, 64632, 50877, 57069, 50845, 64688, 51662, 50902, 52919, 50902, 52919, 53645, 59023, 61875, 51314, 59409, 54137, 50871, 59023, 55103, 50876, 50905, 64507, 51662, 50916, 51662, 50965, 51662, 53523, 67608, 50973, 61622, 53999, 50876, 57586, 50845, 51034, 50951, 64951, 73657, 51662, 50877, 51662, 50876, 51662, 50426, 50931, 67883, 54975, 50968, 68504, 50915, 51034, 50951, 64951, 60045, 51314, 78872, 51001, 68537, 50931, 51115, 50931, 51115, 63451, 63236, 51040, 60236, 59023, 57069, 50845, 75424, 51313, 50899, 51313, 50861, 52919, 50861, 52919, 51234, 53413, 50426, 51120, 61417, 51027, 51108, 72151, 51314, 56759, 67119, 56656, 50906, 61026, 51455, 50298, 52026, 50304, 71326, 59791, 50877, 57069, 50845, 75424, 67119, 59783, 58339, 51619, 50299, 51662, 53337, 59783, 63211, 60006, 54975, 50861, 63211, 64924, 61739, 50915, 51034, 50931, 51047, 50931, 51047, 51176, 51662, 53645, 51148, 50973, 65680, 50968, 61527, 53999, 50931, 62244, 50845, 51034, 50951, 64951, 73657, 51314, 78872, 50876, 68537, 50931, 67883, 54975, 51197, 63821, 61817, 60250, 59258, 50915, 71543, 51911, 50294, 51662, 50989, 51662, 50877, 51422, 50877, 51422, 61104, 50995, 55203, 50995, 72151, 52026, 50302, 67119, 63211, 60006, 55382, 51027, 52026, 50304, 75286, 60250, 59258, 54975, 50997, 73790, 59783, 64924, 61739, 50915, 51034, 50634, 50900, 68186, 59783, 75511, 68504, 50915, 53337, 51637, 50871, 51318, 50906, 51318, 50931, 51115, 50931, 64632, 50916, 62543, 64290, 65909, 61352, 50845, 51034, 50956, 51662, 50999, 52919, 50999, 52919, 56207, 79441, 78819, 56656, 50877, 79441, 78819, 50995, 71543, 51148, 78872, 50876, 51148, 51114, 51148, 50425, 51146, 51419, 77718, 52912, 56656, 50637, 51028, 69791, 53999, 50902, 59374, 50845, 51034, 50951, 64951, 67430, 51148, 51026, 51662, 50871, 51662, 50426, 50931, 67883, 54975, 50902, 61739, 50915, 68321, 64897, 75511, 68504, 50915, 53337, 64897, 64924, 79442, 67883, 54975, 50916, 64897, 60250, 78819, 64951, 50915, 71213, 65186, 60250, 79442, 51151, 50931, 51151, 53523, 60367, 61817, 56656, 51176, 64636, 59783, 67888, 75511, 50995, 72151, 64636, 51148, 80242, 50902, 68537, 51214, 61417, 51085, 68186, 66784, 60250, 59258, 50915, 67833, 50871, 61817, 60250, 59258, 51619, 50297, 51314, 53523, 51318, 50871, 51318, 68485, 50877, 64632, 51027, 61875, 60236, 59198, 50845, 77575, 51911, 50303, 72272, 60817, 51619, 50292, 51314, 57025, 51318, 50900, 51318, 74228, 50871, 64632, 50877, 57069, 50845, 64688, 52140, 50902, 52919, 50902, 52919, 53645, 59023, 61875, 51314, 59409, 54137, 50871, 59023, 55103, 50876, 50905, 78458, 51148, 50965, 51148, 51085, 52140, 53523, 67608, 50973, 61622, 53999, 50876, 57586, 50845, 51034, 50951, 64951, 73657, 52140, 50876, 51662, 50426, 50931, 67883, 58134, 67608, 50968, 68504, 50915, 51034, 50951, 64951, 51619, 50300, 52140, 50973 ]
[ 0, 713, 20425, 8, 15352, 30054, 5175, 1349, 11, 83, 3694, 3136, 23, 41, 12447, 1001, 20889, 6, 4246, 10, 33215, 16739, 9, 230, 119, 1176, 406, 6, 211, 406, 6, 3676, 406, 6, 83, 73, 717, 6, 8, 381, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 765, 53, 20902, 2125, 14, 7630, 6568, 10, 3344, 9, 11098, 8, 15073, 6, 442, 24, 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 ]	[ 58402, 51279, 66843, 51620, 51279, 71244, 52262, 51279, 71244, 51724, 51279, 68339, 51757, 51279, 75008, 52567, 51279, 75008, 50800, 55547, 58035, 51620, 51279, 60692, 52262, 51279, 60692, 51724, 51279, 77036, 60459, 51279, 52513, 51279, 51757, 51279, 50800, 51315, 58740, 51279, 52567, 51279, 50800, 55547, 68339, 51620, 51279, 75008, 52262, 51279, 75008, 51724, 51279, 58035, 51757, 51279, 60692, 52567, 51279, 60692, 50800, 55547, 56931, 51620, 51279, 61441, 52262, 51279, 61441, 51724, 51279, 77036, 60459, 51279, 52513, 51279, 51757, 51279, 50800, 51315, 58740, 51279, 52567, 51279, 50800, 55547, 58035, 51620, 51279, 60692, 52262, 51279, 60692, 51724, 51279, 56931, 51757, 51279, 61441, 52567, 51279, 61441, 50800, 55547, 57341, 51620, 51279, 59065, 52262, 51279, 59065, 51724, 51279, 77036, 60459, 51279, 52513, 51279, 51757, 51279, 50800, 51315, 58740, 51279, 52567, 51279, 50800, 55547, 56931, 51620, 51279, 61441, 52262, 51279, 61441, 51724, 51279, 57341, 51757, 51279, 59065, 52567, 51279, 59065, 50800, 55547, 59006, 51620, 51279, 57722, 52262, 51279, 57722, 51724, 51279, 71244, 60459, 51279, 52513, 51279, 51757, 51279, 67027, 58740, 51279, 52567, 51279, 50800, 54734, 66843, 51620, 51247, 71244, 52262, 51247, 71244, 51724, 51247, 68339, 51757, 51247, 75008, 52567, 51247, 75008, 50800, 54734, 58035, 51620, 51247, 60692, 52262, 51247, 60692, 51724, 51247, 77036, 60459, 51247, 52513, 51247, 51757, 51247, 50800, 51315, 58740, 51247, 52567, 51247, 50800, 54795, 68339, 51620, 51214, 75008, 52262, 51214, 75008, 51724, 51214, 58035, 51757, 51214, 60692, 52567, 51214, 60692, 50800, 54795, 56931, 51620, 51214, 61441, 52262, 51214, 61441, 51724, 51214, 77036, 60459, 51214, 52513, 51214, 51757, 51214, 50800, 51315, 58740, 51214, 52567, 51214, 50800, 55547, 58035, 51620, 51279, 60692, 52262, 51279, 60692, 51724, 51279, 56931, 51757, 51279, 61441, 52567, 51279, 61441, 50800, 55547, 57341, 51620, 51279, 59065, 52262, 51279, 59065, 51724, 51279, 77036, 60459, 51279, 52513, 51279, 51757, 51279, 50800, 51315, 58740, 51279, 52567, 51279, 50800, 55547, 56931, 51620, 51279, 61441, 52262, 51279, 61441, 51724, 51279, 57341, 51757, 51279, 59065, 52567, 51279, 59065, 50800, 55547, 59006, 51620, 51279, 57722, 52262, 51279, 57722, 51724, 51279, 71244, 60459, 51279, 52513, 51279, 51757, 51279, 67027, 58740, 51279, 52567, 51279, 50800, 54734, 66843, 51620, 51247, 71244, 52262, 51247, 71244, 51724, 51247, 68339, 51757, 51247, 75008, 52567, 51247, 75008, 50800, 54734, 58035, 51620, 51247, 60692, 52262, 51247, 60692, 51724, 51247, 77036, 60459, 51247, 52513, 51247, 51757, 51247, 50800, 51315, 58740, 51247, 52567, 51247, 50800, 54795, 68339, 51620, 51214, 75008, 52262, 51214, 75008, 51724, 51214, 58035, 51757, 51214, 60692, 52567, 51214, 60692, 50800, 54795, 56931, 51620, 51214, 61441, 52262, 51214, 61441, 51724, 51214, 77036, 60459, 51214, 52513, 51214, 51757, 51214, 50800, 51315, 58740, 51214, 52567, 51214, 50800, 55547, 58035, 51620, 51279, 60692, 52262, 51279, 60692, 51724, 51279, 56931, 51757, 51279, 61441, 52567, 51279, 61441, 50800, 55547, 57341, 51620, 51279, 59065, 52262, 51279, 59065, 51724, 51279, 77036, 60459, 51279, 52513, 51279, 51757, 51279, 50800, 51315, 58740, 51279, 52567, 51279, 50800, 55547, 56931, 51620, 51279, 61441, 52262, 51279, 61441, 51724, 51279, 57341, 51757, 51279, 59065, 52567, 51279, 59065, 50800, 55547, 59006, 51620, 51279, 57722, 52262, 51279, 57722, 51724, 51279, 71244, 60459, 51279, 52513, 51279, 51757, 51279, 67027, 58740, 51279, 52567, 51279, 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, 250, 15352, 30054, 8, 19448, 3495, 1011, 625, 6, 278, 11, 10, 2635, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 6755, 12547, 8, 21979, 8669, 185, 5, 483, 6, 7513, 30, 228, 438, 4781, 2088, 6757, 6, 21979, 9590, 6, 8, 21072, 4, 23973, 11, 5, 762, 9, 230, 538, 6, 5, 2214, 1575, 10, 33215, 16739, 9, 12608, 6, 272, 73, 495, 6, 8, 230, 4, 20, 3722, 15229, 7630, 6568, 10, 1472, 9, 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 ]	[ 57528, 50450, 51553, 64563, 51224, 51126, 50454, 51224, 53556, 51553, 61010, 51289, 74509, 51289, 50971, 59670, 78047, 56897, 54964, 51067, 52921, 51438, 67526, 53513, 51067, 53306, 50438, 51522, 52025, 51549, 51108, 50801, 56897, 54626, 51098, 50915, 51292, 57130, 56897, 50907, 50799, 51893, 50974, 51140, 51134, 51438, 51330, 61978, 55275, 58634, 59519, 58826, 53678, 52234, 52054, 54964, 51893, 56174, 51893, 50974, 51302, 55658, 51893, 50874, 51793, 60346, 51893, 51477, 51793, 69470, 51793, 59580, 51793, 58435, 53140, 51893, 50974, 51216, 56993, 54622, 51924, 52168, 51261, 50905, 53788, 51965, 61978, 58306, 58447, 51671, 58826, 58306, 50801, 50874, 51302, 53627, 51150, 56857, 51389, 54584, 51150, 59165, 50822, 53012, 50912, 54141, 50907, 52612, 54385, 51216, 50943, 50947, 52011, 51032, 52397, 51292, 57941, 51553, 55097, 51553, 53007, 51553, 55397, 51553, 50829, 53202, 50892, 50970, 51447, 50947, 51447, 51549, 63510, 61978, 55275, 66370, 59519, 58826, 55275, 50801, 50376, 52054, 54964, 52031, 50851, 51793, 63285, 52031, 51534, 51793, 58782, 51793, 63906, 53847, 51793, 60346, 52031, 50874, 51793, 69470, 52031, 51534, 51793, 59580, 51793, 58679, 53743, 51893, 50974, 51140, 52596, 52004, 50874, 51098, 53946, 59835, 51893, 56711, 51216, 54093, 51893, 50974, 54204, 51189, 61166, 51748, 58634, 51445, 60151, 59519, 50801, 56624, 51390, 51627, 51302, 52749, 51261, 54125, 51150, 54123, 51261, 50995, 51246, 53313, 50801, 53743, 51064, 58068, 50970, 59038, 51216, 50981, 51131, 53024, 50804, 53820, 51064, 52101, 50459, 50970, 51123, 50799, 52004, 50838, 51098, 51737, 50960, 51333, 50970, 51330, 51076, 51333, 61166, 51748, 58634, 51922, 60875, 68334, 50801, 53932, 52004, 50827, 52078, 63285, 52004, 50838, 52078, 58782, 52078, 63906, 55658, 52004, 50851, 52078, 60346, 51893, 51108, 52078, 69470, 52078, 59580, 52078, 55937, 53103, 52004, 51108, 51098, 54230, 51668, 53888, 54900, 51924, 50827, 51389, 54093, 51390, 50827, 50799, 51924, 50827, 51150, 50854, 50986, 52462, 58447, 53678, 59796, 51922, 58425, 55275, 50801, 56624, 51390, 50827, 51150, 50827, 50998, 53024, 50420, 51334, 51477, 51150, 69596, 50986, 77962, 51389, 50833, 50960, 62265, 55658, 51389, 50854, 51032, 55238, 51389, 50845, 50970, 60968, 50960, 62913, 51984, 51244, 50998, 51490, 51032, 51490, 50801, 50854, 51382, 54529, 51334, 50874, 50799, 51390, 50874, 51389, 51295, 52842, 50984, 52350, 50844, 52789, 58490, 59636, 51893, 54448, 51390, 50874, 52842, 50822, 52350, 50854, 52789, 59171, 56174, 52004, 56307, 52842, 50827, 52350, 50810, 52789, 62265, 55658, 51390, 54221, 51893, 51310, 53240, 55584, 52842, 51269, 52350, 50984, 52789, 51832, 50438, 52842, 50851, 52350, 50851, 55334, 50364, 51015, 56358, 54021, 62095, 53240, 51252, 50929, 51269, 52842, 50984, 52350, 50984, 55334, 50361, 51015, 57904, 52078, 51252, 50929, 68656, 51078, 52445, 50449, 50929, 55038, 51793, 51252, 50947, 51047, 52842, 50907, 52350, 50907, 55334, 50361, 51002, 56936, 51984, 67301, 51389, 50901, 52842, 50912, 52350, 50912, 55334, 52794, 50459, 51390, 50844, 50799, 52700, 50844, 51150, 51419, 52842, 50907, 52350, 50874, 52901, 63907, 57368, 52004, 54351, 51893, 50844, 52842, 51550, 52350, 50912, 52901, 50361, 51015, 55266, 52004, 53770, 52842, 51550, 52350, 51123, 52901, 50359, 51002, 53847, 52700, 50844, 51150, 53911, 51893, 50844, 51389, 50874, 52842, 51550, 52350, 50907, 52901, 52462, 50435, 51390, 51391, 51150, 52729, 51098, 51295, 52842, 50912, 52277, 50912, 52868, 50360, 51015, 52597, 50929, 51432, 52842, 50907, 52277, 51123, 52868, 50359, 51015, 54004, 50947, 51330, 52842, 51123, 52277, 50984, 52868, 50361, 51002, 52863, 51216, 50845, 52842, 51832, 52277, 51832, 52868, 51998, 54204, 58435, 52734, 51067, 50822, 55907, 51166, 55348, 51074, 52364, 51697, 50801, 52921, 51261, 51252, 51438, 51178, 55348, 51387, 52364, 51166, 52842, 53024, 50804, 52765, 51216, 60346, 51098, 51252, 51067, 53306, 55907, 50892, 55348, 50905, 52364, 65867, 51140, 56006, 51522, 51333, 51549, 51108, 58225, 57968, 53165, 57941, 54614, 57941, 63170, 53140, 51098, 50915, 51292, 50889, 54652, 56869, 53165, 56123, 52673, 53838, 50801, 55836, 50822, 50799, 51893, 50892, 51140, 51134, 51438, 51330, 51113, 68334, 51093, 59519, 51201, 58306, 61978, 55275, 58634, 59519, 58826, 53678, 52234, 52054, 54964, 51893, 55266, 51893, 50892, 51302, 55658, 51893, 50844, 51793, 60346, 51893, 51310, 51793, 69470, 51793, 59580, 51793, 58435, 53140, 51893, 50892, 51216, 56993, 54622, 51924, 51680, 51261, 50905, 53788, 51965, 61978, 58306, 58447, 51671, 58826, 58306, 50801, 53881, 51299, 60237, 51301, 76492, 51093, 55086, 50804, 53627, 51150, 56857, 51389, 54584, 51150, 59165, 50822, 53012, 50912, 54141, 50907, 52612, 54385, 51216, 50943, 50947, 52011, 51032, 52397, 51292, 57941, 51553, 55097, 51553, 53007, 51553, 55397, 51553, 50829, 53202, 50892, 50970, 51447, 50947, 51447, 51549, 63510, 51299, 58306, 51426, 68334, 51093, 53678, 61978, 55275, 66370, 59519, 58826, 55275, 50801, 50376, 52054, 54964, 52031, 50874, 51793, 63285, 52031, 51534, 51793, 58782, 51793, 63906, 53847, 51793, 60346, 52031, 50822, 51793, 69470, 52031, 51412, 51793, 59580, 51793, 58679, 53743, 51893, 50892, 51140, 52596, 52004, 50844, 51098, 53946, 59835, 51893, 54771, 51216, 54093, 51893, 50892, 54204, 51189, 51251, 53801, 51107, 52212, 61166, 51748, 58634, 51445, 60151, 59519, 50801, 56624, 51390, 51448, 51302, 52749, 51261, 54125, 51150, 54123, 51261, 50995, 51246, 53313, 51251, 53838, 51107, 52025, 50801, 53743, 51064, 58068, 50970, 59038, 51216, 50981, 51131, 53024, 51299, 53838, 51093, 56869, 50804, 53820, 51064, 52101, 50459, 50970, 51123, 50799, 52004, 50974, 51098, 51737, 50960, 51333, 50970, 51330, 51076, 51333, 52065, 58306, 51357, 52727, 61166, 51748, 58634, 51922, 60875, 68334, 50801, 53932, 52004, 50874, 52078, 63285, 52004, 50905, 52078, 58782, 52078, 63906, 55658, 52004, 50822, 52078, 60346, 51893, 50995, 52078, 69470, 52078, 59580, 52078, 55937, 53103, 52004, 51097, 51098, 54230, 51668, 53888, 54900, 51924, 50874, 51389, 54093, 51390, 50874, 50799, 51924, 50822, 51150, 50854, 50986, 52462, 52143, 52618, 51299, 52618, 51301, 52397, 51093, 52618, 51266, 51466, 58447, 53678, 59796, 51922, 58425, 55275, 50801, 56624, 51390, 50874, 51150, 50827, 50998, 53024, 50420, 51334, 51637, 51150, 69596, 50986, 77962, 51389, 50833, 66003, 51251, 56123, 51154, 56869, 51113, 52025, 51107, 56123, 51201, 52397, 50804, 55658, 51389, 50854, 51032, 55238, 51389, 50845, 50970, 60968, 50960, 62913, 51984, 51244, 50998, 51490, 51032, 51490, 52830, 52397, 51301, 52397, 51093, 52011, 51266, 51333, 51182, 52011, 50801, 54276, 51266, 52618, 51182, 52011, 51304, 53838, 50804, 54529, 51334, 50874, 50799, 51390, 50874, 51389, 51295, 51251, 52440, 51113, 53801, 51107, 52440, 52842, 50984, 52350, 50844, 52789, 58490, 59636, 51893, 54448, 51390, 50874, 52842, 50822, 52350, 50854, 52789, 59171, 56174, 52004, 56307, 52842, 50827, 52350, 50810, 52789, 62265, 55658, 51390, 52739, 51893, 51115, 53240, 55584, 52842, 51269, 52350, 50984, 52789, 51832, 50438, 51488, 63510, 51201, 61307, 51284, 63510, 51384, 56308, 52842, 50851, 52350, 50851, 55334, 50364, 51015, 56358, 54021, 62095, 53240, 51252, 50929, 51269, 52842 ]
[ 0, 250, 21844, 3495, 1011, 625, 14, 17384, 5, 12049, 9, 657, 8, 11098, 6, 42, 765, 2214, 16, 278, 11, 5, 762, 9, 211, 3694, 8, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 10, 2635, 1614, 1073, 1020, 20889, 9, 5138, 13410, 228, 2289, 6, 4246, 10, 13305, 14, 5723, 5, 33301, 8, 20299, 6, 24826, 198, 5, 33215, 16739, 9, 3676, 406, 6, 274, 119, 1176, 406, 6, 3676, 406, 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 ]	[ 57528, 50997, 52519, 50902, 50995, 54569, 54335, 50877, 74992, 51097, 58296, 54938, 50997, 52136, 50902, 50932, 55989, 54323, 50877, 74992, 56109, 50899, 51074, 56310, 53280, 50876, 50995, 53502, 54335, 50861, 57945, 55665, 50900, 54938, 51027, 53577, 50876, 51330, 55513, 51079, 56222, 68636, 69173, 50900, 51074, 55435, 51637, 50902, 50995, 54569, 54335, 50877, 74992, 55665, 50899, 54938, 50997, 51477, 50902, 51108, 55989, 54323, 50877, 74992, 62214, 50899, 51074, 56310, 51637, 50876, 50995, 53502, 54335, 50861, 57945, 55665, 50900, 54938, 51027, 52519, 50876, 51108, 55513, 55437, 50861, 66257, 56711, 50900, 74337, 50974, 55435, 51637, 50902, 51911, 50337, 51359, 54569, 54335, 50877, 74992, 51097, 58296, 54938, 50997, 51477, 50902, 50932, 55989, 54323, 50877, 74992, 56109, 50899, 51074, 56310, 51637, 50876, 51911, 50335, 51692, 53502, 54335, 50861, 57945, 55665, 50900, 54938, 51027, 51283, 50876, 51330, 55513, 54323, 50861, 68545, 52026, 50333, 53586, 50900, 52216, 50335, 50901, 55435, 51637, 50902, 51911, 50330, 51692, 54569, 54335, 50877, 74992, 55665, 50899, 54938, 50997, 51477, 50902, 51108, 55989, 54323, 50877, 74992, 52019, 50328, 53586, 50899, 52216, 50330, 50901, 56310, 51637, 50876, 51911, 50325, 52071, 53502, 54335, 50861, 57945, 55665, 50900, 54938, 51027, 51283, 50876, 51108, 55513, 54323, 50861, 64369, 56711, 50900, 74337, 50974, 55435, 51637, 50902, 67889, 51911, 50337, 51359, 54569, 54335, 50877, 58722, 52845, 50325, 51097, 58296, 54938, 50997, 51477, 50877, 53164, 50318, 50932, 55989, 54323, 50877, 63785, 52104, 50325, 56109, 50899, 64900, 51330, 56310, 51637, 50876, 51911, 50335, 51692, 53502, 59023, 51333, 54439, 57945, 55665, 50900, 66918, 61417, 51027, 51283, 50876, 51330, 55513, 58363, 51074, 56415, 67707, 68545, 52026, 50333, 53586, 50900, 65721, 52104, 50335, 50901, 55435, 51637, 50902, 67889, 51911, 50330, 51692, 54569, 54335, 50877, 58722, 52845, 50325, 55665, 50899, 54938, 50997, 51477, 50877, 53126, 50318, 51108, 55989, 54323, 50877, 63785, 52104, 50325, 52019, 50328, 53586, 50899, 64900, 51965, 51146, 50901, 56310, 51637, 50876, 51662, 50999, 52071, 53502, 54335, 50861, 57945, 55665, 50900, 54938, 51027, 51283, 50876, 51878, 55513, 54323, 50861, 64369, 56711, 50900, 74337, 50974, 55435, 51637, 50902, 67889, 51911, 50337, 51359, 52912, 51079, 54569, 51644, 50342, 52688, 50877, 58722, 52845, 50325, 52019, 50349, 54100, 50899, 51853, 50342, 54498, 50997, 51477, 50877, 53164, 50318, 50932, 55989, 51644, 50354, 54058, 50877, 63785, 52104, 50325, 51517, 50342, 59111, 50899, 64900, 52454, 50349, 50905, 56310, 51637, 50876, 51911, 50335, 51692, 52357, 51737, 53502, 59023, 52845, 50340, 52688, 50861, 57945, 51517, 50347, 54100, 50900, 66918, 52026, 50340, 54498, 51027, 51283, 50876, 51330, 55513, 58363, 52216, 50352, 54323, 50871, 67707, 68545, 52026, 50333, 51455, 50340, 56711, 50900, 65721, 52104, 50335, 51514, 50347, 50892, 55435, 51637, 50902, 67889, 51911, 50330, 51692, 52912, 51079, 54569, 51644, 50342, 52688, 50877, 58722, 52845, 50325, 51517, 50349, 54100, 50899, 51853, 50342, 54498, 50997, 51477, 50877, 53126, 50318, 51108, 55989, 51644, 50354, 54058, 50877, 63785, 52104, 50325, 52019, 50328, 51455, 50342, 59111, 50899, 64900, 51965, 51146, 51514, 50349, 50905, 56310, 51637, 50876, 51662, 50999, 52071, 52357, 51737, 53502, 51644, 50340, 52688, 50861, 57945, 51517, 50347, 54100, 50900, 51853, 50340, 54498, 51027, 51283, 50876, 51878, 55513, 51644, 50352, 54323, 50861, 64369, 51712, 50340, 56711, 50900, 74337, 51712, 50347, 50892, 55435, 51637, 50902, 67889, 51911, 50337, 51359, 52912, 51079, 54569, 51644, 50342, 52688, 50877, 58722, 52845, 50325, 52019, 50349, 54100, 50899, 51853, 50342, 54498, 50997, 51477, 50877, 53164, 50318, 50932, 55989, 51644, 50354, 54058, 50877, 63785, 52104, 50325, 51517, 50342, 59111, 50899, 64900, 52454, 50349, 50905, 56310, 51637, 50876, 51911, 50335, 51692, 52357, 51737, 53502, 59023, 52845, 50340, 52688, 50861, 57945, 51517, 50347, 54100, 50900, 66918, 52026, 50340, 54498, 51027, 51283, 50876, 51330, 55513, 58363, 52216, 50352, 54323, 50871, 67707, 68545, 52026, 50333, 51455, 50340, 56711, 50900, 65721, 52104, 50335, 51514, 50347, 50892, 55435, 51637, 50902, 67889, 51911, 50330, 51692, 52912, 51079, 54569, 51644, 50342, 52688, 50877, 58722, 52845, 50325, 51517, 50349, 54100, 50899, 51853, 50342, 54498, 50997, 51477, 50877, 53126, 50318, 51108, 55989, 51644, 50354, 54058, 50877, 63785, 52104, 50325, 52019, 50328, 51455, 50342, 59111, 50899, 64900, 51965, 51146, 51514, 50349, 50905, 56310, 51637, 50876, 51662, 50999, 52071, 52357, 51737, 53502, 51644, 50340, 52688, 50861, 57945, 51517, 50347, 54100, 50900, 51853, 50340, 54498, 51027, 51283, 50876, 51878, 55513, 51644, 50352, 54323, 50861, 58722, 51517, 50340, 56711, 50900, 52216, 50347, 50892, 58106, 50899, 75657, 75657, 51080, 51146, 51080, 52912, 51080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 13134, 2214, 4246, 21979, 8669, 6, 24896, 6, 2020, 3548, 6, 8, 21979, 9590, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 20889, 16, 10, 20902, 12447, 1001, 6, 8, 5, 1049, 33215, 16739, 25935, 1626, 227, 272, 8, 230, 4, 20, 8859, 7630, 6568, 41, 11653, 8, 5679, 26709, 5466, 6, 1969, 13, 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 ]	[ 58375, 50799, 53122, 50961, 52994, 56075, 52064, 51033, 52130, 61378, 52064, 50812, 52130, 60809, 52130, 50887, 52064, 56667, 52130, 50937, 52064, 56632, 52064, 50844, 52130, 66766, 52130, 50836, 52064, 52676, 52064, 50795, 52130, 50873, 50442, 52344, 51233, 50444, 55338, 50972, 52064, 50808, 52130, 75637, 52064, 50867, 52130, 52555, 53476, 51174, 52130, 78020, 52064, 55273, 52130, 74717, 56102, 50905, 50460, 51967, 50930, 53788, 51204, 52344, 51376, 51574, 51277, 51725, 51056, 52064, 58481, 53122, 64941, 52064, 54718, 52181, 50891, 51707, 50870, 51891, 58178, 77108, 61283, 50846, 52138, 67936, 50943, 51032, 65647, 51967, 62588, 51725, 50915, 52064, 53049, 51098, 51091, 50429, 51207, 50995, 52682, 58812, 51891, 73942, 50925, 55353, 54179, 51707, 50837, 52181, 50928, 50847, 61283, 77108, 50846, 52138, 50863, 50986, 50943, 51032, 64759, 53992, 60958, 51032, 51309, 50929, 51309, 50437, 52682, 55381, 51150, 51159, 51725, 63939, 52521, 58344, 51207, 51627, 50443, 52682, 52711, 51891, 50834, 52181, 50863, 51707, 50908, 50909, 77108, 60753, 50846, 52138, 50863, 50986, 50943, 75645, 51032, 71149, 55353, 71480, 50929, 68324, 51098, 51157, 51574, 51218, 52682, 51388, 50454, 51891, 51221, 51707, 50933, 53167, 51126, 51725, 73575, 53167, 50942, 50909, 77108, 50834, 52138, 51004, 50847, 50846, 71311, 75645, 51032, 50943, 52064, 66330, 52181, 51423, 50929, 51178, 51967, 50862, 55929, 51109, 51725, 51003, 52130, 50825, 52130, 79069, 52344, 51387, 50418, 51967, 55180, 51707, 50835, 51891, 58178, 61283, 77108, 50846, 52138, 50834, 51574, 50845, 51207, 50943, 50986, 51417, 75645, 67671, 52130, 50897, 50424, 50929, 63750, 52249, 53548, 51493, 50893, 75760, 50427, 52130, 50825, 52130, 65337, 52181, 51365, 51967, 53695, 51140, 50924, 51707, 50904, 51891, 57932, 63722, 50846, 52138, 50837, 51149, 50846, 51504, 50937, 50433, 52064, 62657, 51967, 54431, 51098, 51048, 51207, 51241, 52130, 58159, 52130, 65389, 52344, 51267, 51967, 54305, 55338, 60025, 50840, 51439, 50904, 50935, 65804, 50960, 51056, 62388, 67524, 51967, 66270, 51707, 51709, 51076, 51484, 50929, 51309, 52130, 54755, 51273, 51400, 51967, 58974, 53476, 51470, 53092, 51101, 50453, 50847, 51297, 50454, 51207, 50855, 52249, 75336, 52344, 53007, 56102, 51051, 50847, 67133, 50846, 51439, 50837, 51207, 50925, 64856, 62388, 52130, 63357, 51707, 51079, 50998, 50829, 50986, 51309, 51967, 50862, 53788, 51290, 52344, 50822, 51574, 51309, 51725, 51056, 52064, 59722, 53122, 55777, 51707, 50904, 52181, 50867, 51891, 62048, 61283, 50846, 52138, 78756, 50846, 65868, 50929, 51127, 51032, 50925, 52064, 57625, 51967, 52422, 51098, 51238, 51725, 50915, 52064, 55658, 52682, 59225, 50847, 52134, 51207, 54860, 51707, 50870, 51891, 50820, 52181, 61483, 61283, 77108, 50820, 52138, 51129, 51207, 51221, 50986, 50943, 51032, 50854, 55353, 56966, 53992, 66248, 51032, 51199, 50437, 52682, 54362, 51150, 51048, 51574, 50827, 51725, 51056, 50441, 52521, 66607, 50847, 51126, 51207, 51312, 50443, 52682, 51820, 52181, 50837, 51707, 50870, 51891, 65537, 60753, 50846, 52138, 77108, 50846, 67806, 50986, 51221, 50447, 51032, 50932, 53992, 53886, 51098, 50980, 51725, 51097, 52682, 76335, 50847, 51128, 50986, 51419, 51207, 51381, 50456, 52181, 50825, 51707, 50870, 51891, 59947, 61283, 50846, 52138, 50863, 51149, 50841, 75645, 52064, 63357, 50929, 51255, 51967, 59026, 51032, 51380, 55929, 51400, 52554, 50886, 51725, 50943, 51574, 51381, 52130, 78539, 51891, 60123, 51951, 50911, 50418, 50847, 73094, 51891, 50827, 50909, 77108, 60753, 50846, 52138, 50846, 51207, 51241, 50986, 51221, 50929, 50943, 50423, 52142, 50962, 50424, 51891, 73911, 51493, 50893, 51997, 50874, 51725, 50866, 51951, 53847, 52130, 50849, 50430, 52850, 51254, 50847, 51128, 50986, 79201, 51140, 50936, 52814, 50933, 50847, 61283, 77108, 50828, 51574, 50833, 52064, 61761, 52138, 54002, 52850, 51709, 51967, 58853, 51504, 54431, 69278, 51707, 50932, 51207, 51218, 52130, 71476, 50847, 51319, 52064, 54758, 51891, 52256, 50935, 60753, 50846, 51439, 75966, 50925, 62388, 51076, 50854, 51967, 54672, 53122, 63956, 52850, 51380, 50998, 50825, 50986, 68324, 51461, 51025, 51997, 50827, 50929, 51484, 51725, 50943, 52064, 50921, 50453, 52138, 51832, 51149, 63226, 51707, 50864, 50909, 58917, 52881, 52181, 51058, 71766, 50909, 50846, 52138, 50910, 51149, 50808, 51574, 51006, 51207, 51417, 50986, 51127, 51032, 50833, 52249, 77941, 52130, 77929, 52850, 50837, 52138, 51423, 51149, 51309, 50909, 50863, 50929, 51309, 51967, 50887, 53788, 51112, 52344, 51008, 51725, 51267, 51574, 51277, 52064, 68621, 60179, 51032, 80256, 53122, 64941, 52064, 54718, 51707, 50864, 52181, 50867, 51891, 63725, 50846, 52138, 58719, 77108, 67936, 50943, 51032, 71818, 51967, 62588, 52064, 53049, 51098, 51345, 51725, 51003, 50429, 52682, 59545, 50847, 51319, 72103, 50431, 55353, 54179, 51707, 50891, 52181, 75900, 68341, 77108, 61574, 50846, 52138, 50891, 50986, 51056, 50929, 50943, 51032, 64759, 53992, 62256, 52682, 55381, 51150, 51109, 51725, 50943, 50441, 50847, 51319, 52521, 59586, 51574, 51377, 52682, 52711, 52181, 50835, 51707, 50837, 51891, 59947, 61283, 77108, 50846, 52138, 50828, 51207, 51377, 74237, 50986, 51221, 51032, 51241, 50447, 55353, 54755, 51098, 51227, 51725, 51003, 52682, 51021, 53122, 68343, 52064, 50901, 50454, 51891, 50813, 51707, 62032, 51126, 50986, 54481, 53167, 50925, 50909, 60753, 77108, 50820, 52138, 50828, 51207, 51377, 50986, 77749, 50943, 52064, 66330, 52181, 51328, 51032, 51423, 51967, 50862, 55929, 51267, 51574, 51423, 52130, 50825, 52130, 79069, 52344, 51210, 51725, 50943, 50418, 51207, 50864, 51967, 55180, 51891, 68341, 60753, 77108, 50828, 52138, 50841, 51207, 50943, 50986, 51127, 50929, 51221, 51032, 50833, 52130, 50897, 50425, 52249, 53548, 51493, 50806, 51032, 50933, 51725, 74168, 52130, 50825, 52130, 65337, 50847, 51319, 75645, 51967, 53695, 51140, 50865, 50847, 50840, 52138, 50828, 51149, 64705, 58406, 52181, 50837, 51707, 50837, 51891, 50820, 51574, 50833, 52064, 62657, 51504, 50839, 51967, 54431, 69278, 51207, 51283, 51444, 50943, 52130, 58159, 52130, 65389, 51967, 54305, 50935, 59708, 50840, 51439, 71583, 51707, 50829, 52554, 50928, 52146, 50839, 50960, 51221, 50929, 51056, 51076, 50925, 51967, 66270, 52130, 54755, 51273, 51423, 51967, 58974, 51444, 51377, 50454, 50847, 51297, 69999, 52249, 55577, 51707, 50864, 50847, 68855, 50840, 51439, 50870, 62388, 51207, 51518, 52130, 62516, 52554, 50835, 52146, 50857, 51076, 72070, 50998, 50825, 51967, 59496, 50929, 51277, 53788, 51055, 51574, 51006, 51725, 51056, 52064, 50894, 65751, 51376, 50417, 53122, 55777, 51891, 50829, 51707, 50835, 52181, 50835, 52138, 61937, 77108, 59947, 50846, 50986, 51221, 75645, 51032, 50833, 52064, 57625, 51967, 71299, 50929, 51194, 51032, 68428, 51098, 51500, 51725, 51312, 52064, 55658, 52682, 59225, 50847, 51319, 50986, 52810, 51891, 50834, 51707, 50835, 52181, 64780, 77108, 61937, 50846, 52138, 50982, 50986, 77749, 50943, 55353, 56966, 51032, 51172, 53992, 65452, 52682, 54362, 51150, 51016, 51725, 63939, 50847, 51319, 52521, 66607, 51207, 51109, 50443, 50986, 50943, 65423, 52682, 51820, 51997, 58719, 61283, 50846, 52138, 50863, 51149, 50846, 51032, 50925, 50445, 51891, 54043, 53992, 64072, 50929, 68324 ]
[ 0, 713, 8787, 15855, 15229, 6, 533, 3833, 13, 10, 822, 19834, 6, 16, 10, 5386, 8, 814, 12, 21330, 2125, 4, 590, 10, 20889, 9, 1878, 13410, 228, 2289, 6, 24, 4694, 556, 11, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 41, 9066, 8, 2933, 5466, 4, 20, 9590, 3863, 6, 1515, 21305, 6, 6755, 12547, 6, 17691, 28430, 6, 8, 2342, 4467, 35810, 561, 7, 1045, 10, 4066, 5797, 990, 1506, 9, 2369, 6, 278, 11, 5, 762, 9, 211, 3694, 4, 20, 40286, 83, 8, 211, 119, 146, 12577, 4961, 1328, 42, 25306, 27107, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50796, 50796, 51057, 50624, 52665, 66898, 52196, 66898, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51284, 51129, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51107, 61211, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51107, 51129, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51113, 61211, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 53215, 51004, 51113, 50982, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 55528, 55197, 51251, 56615, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51384, 51129, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51284, 61211, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51284, 51129, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51107, 61211, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 53215, 51004, 51113, 50982, 51057, 52614, 68086, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 55528, 55197, 51251, 56615, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 980, 8, 115, 28, 341, 11, 10, 822, 19834, 4, 20, 13305, 8, 38668, 22052, 310, 5, 1049, 33301, 6, 7513, 30, 10, 18558, 6, 6755, 12547, 6, 8, 31391, 1672, 9590, 4, 85, 34, 10, 2635, 1614, 1073, 1020, 20889, 9, 1510, 163, 5683, 6, 10, 204, 73, 306, 86, 6543, 6, 8, 16, 11, 5, 762, 9, 12608, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50458, 51503, 51445, 50459, 51197, 51243, 50461, 50900, 51283, 51176, 53142, 50799, 74636, 52720, 57380, 52720, 52233, 51671, 52606, 51748, 51304, 52980, 50965, 51241, 50956, 51318, 52255, 52011, 50416, 50876, 65183, 51863, 52011, 64574, 50974, 51711, 51466, 50443, 51629, 52518, 50444, 50965, 72360, 52402, 60779, 51394, 77413, 72670, 51304, 51884, 75152, 57498, 52033, 51748, 50799, 53496, 51748, 52091, 51748, 51266, 51703, 51503, 52222, 50415, 51040, 51419, 50916, 51204, 51176, 52222, 50426, 51711, 51466, 50437, 51811, 51466, 52414, 52056, 50438, 51001, 66219, 51863, 52256, 50449, 51905, 67303, 51028, 59426, 51503, 51671, 50460, 50900, 51314, 51197, 53588, 50461, 51304, 54829, 50956, 51148, 51176, 52222, 52255, 51330, 50799, 52233, 52727, 52606, 51748, 50965, 51148, 76301, 51417, 50426, 51863, 51542, 50439, 51711, 51330, 50443, 51395, 52063, 61614, 50978, 50449, 51629, 51884, 50450, 50965, 50865, 52402, 51806, 50455, 51394, 62524, 50906, 56904, 51304, 51166, 52033, 51671, 50799, 53496, 52503, 52091, 51748, 50876, 59487, 51109, 50965, 51267, 51503, 51939, 51176, 51592, 50419, 51905, 51884, 50420, 51028, 50977, 50425, 51394, 52528, 53188, 54211, 62144, 51314, 50906, 51244, 50916, 67608, 52225, 51466, 50449, 52414, 51466, 50459, 52186, 61339, 51283, 50460, 50965, 51381, 51176, 53142, 50461, 51629, 52727, 50956, 51542, 51197, 52528, 52402, 53678, 51711, 52503, 50799, 74636, 51801, 52233, 54373, 52606, 51748, 50900, 51679, 50415, 52186, 50805, 51503, 51939, 50421, 52926, 51097, 56014, 52263, 50437, 50906, 52728, 50876, 50977, 50454, 52278, 62091, 52926, 64098, 52186, 51204, 50799, 52091, 52727, 51503, 52222, 51176, 53588, 50900, 52222, 50916, 51945, 50428, 52926, 53513, 52278, 59890, 52926, 61842, 52186, 50977, 50442, 52926, 71105, 52926, 61242, 52186, 57023, 51503, 52222, 50460, 51784, 51682, 50300, 52151, 50461, 50900, 51328, 50799, 51821, 51922, 50871, 77921, 52186, 51177, 50422, 52926, 51484, 62144, 56305, 50906, 52741, 62926, 50455, 52278, 63569, 52926, 54678, 51197, 52136, 50460, 50997, 51961, 50461, 51040, 51381, 50799, 65489, 52440, 53496, 52212, 52582, 51447, 52186, 51191, 50906, 52434, 50310, 68434, 59492, 50906, 52104, 50310, 51753, 50428, 52926, 54221, 52278, 54112, 52926, 54181, 57380, 52147, 52233, 51703, 52606, 52212, 51503, 73658, 69136, 63348, 51134, 50439, 52186, 50987, 50443, 52926, 71892, 51197, 52011, 50450, 51176, 50974, 50455, 52186, 54424, 50900, 58472, 51784, 64333, 50871, 51592, 50461, 50965, 52015, 51360, 52335, 50799, 67791, 52727, 53496, 52727, 51821, 51671, 51001, 51072, 51176, 51447, 50415, 52173, 51183, 50956, 51423, 61104, 51277, 51028, 51286, 50438, 52549, 51233, 50876, 55125, 50965, 53211, 51784, 54655, 52549, 50862, 50799, 57054, 51748, 54064, 52727, 52091, 51922, 51784, 50942, 51085, 52980, 50997, 51680, 50916, 51742, 50861, 51742, 50420, 51784, 61880, 51784, 50955, 50429, 52549, 60093, 51784, 51312, 50453, 52186, 54194, 52926, 57490, 52278, 50955, 50799, 55825, 51490, 57380, 53678, 52233, 52503, 51821, 53201, 50965, 51484, 50876, 51312, 51050, 51965, 50415, 52926, 51477, 50420, 51147, 50925, 50425, 50871, 58069, 50951, 51628, 50876, 52446, 65489, 51703, 50931, 53275, 50295, 51645, 75795, 62929, 51884, 56415, 52386, 50319, 55764, 52186, 63144, 56860, 51784, 50854, 50799, 61372, 51748, 54064, 55597, 52186, 52434, 50294, 51671, 50997, 51671, 50871, 51151, 50906, 56100, 51784, 55797, 52186, 50987, 50429, 51784, 53193, 52186, 51535, 50453, 52926, 54900, 52278, 62616, 52714, 50833, 50799, 67791, 52147, 52091, 51490, 53909, 51330, 52926, 51047, 51360, 51318, 50997, 51115, 50916, 51310, 50965, 79642, 54229, 76357, 65489, 52440, 52606, 52212, 52278, 52019, 50295, 51314, 50997, 51080, 50956, 67835, 66563, 52471, 51466, 51842, 54710, 51258, 56672, 55397, 52186, 61629, 51503, 52335, 50461, 51197, 50825, 50799, 74636, 54373, 52233, 54373, 52606, 51748, 51716, 52720, 53034, 51748, 52186, 51458, 50300, 55468, 59622, 66583, 50900, 51380, 50956, 51312, 50965, 51267, 50420, 52926, 69790, 51176, 52015, 50843, 53814, 50900, 50943, 51298, 51218, 63808, 66739, 50908, 50939, 70269, 50876, 54357, 50908, 50909, 51047, 50455, 52278, 63181, 52926, 50854, 50799, 52091, 52503, 52295, 51922, 52186, 64291, 51204, 50900, 51351, 51176, 51244, 51503, 51662, 50843, 69910, 51592, 55057, 50908, 50428, 52926, 53513, 52278, 56788, 52926, 53894, 50900, 50982, 50916, 58272, 64481, 52186, 50878, 50443, 52926, 51210, 57702, 67827, 52926, 61242, 52186, 66430, 51784, 50800, 51503, 51592, 50461, 50900, 51194, 50871, 71665, 51194, 51176, 51452, 50799, 51821, 52727, 52547, 51922, 50843, 66583, 52186, 51111, 50422, 52926, 51172, 62144, 53759, 52958, 50906, 54357, 53166, 50876, 53843, 64360, 52278, 62616, 52926, 50855, 50799, 65489, 52440, 53496, 52212, 52582, 52212, 53608, 51314, 52186, 51091, 51040, 66199, 51203, 50906, 51255, 51028, 51235, 51197, 51477, 50843, 53738, 50997, 51097, 56040, 73446, 63778, 57265, 52926, 52810, 52278, 51731, 50305, 69074, 53439, 52926, 52599, 57380, 52147, 52233, 51703, 52606, 52212, 54229, 51490, 52186, 51194, 51503, 78171, 51241, 50965, 51351, 50876, 51091, 51960, 54268, 57536, 51197, 51253, 50852, 53421, 51176, 50805, 51970, 50453, 52926, 52847, 59923, 52186, 72891, 74021, 53270, 56047, 51784, 50890, 50799, 67791, 52727, 53496, 52727, 51821, 51671, 52736, 51748, 52547, 51243, 50956, 70322, 71211, 51351, 50965, 51364, 51360, 51592, 50852, 55942, 50908, 51298, 61839, 52173, 74189, 51028, 62116, 68713, 51125, 50914, 50434, 52549, 51412, 62204, 52141, 64481, 50909, 55247, 50965, 53759, 50891, 50992, 57414, 51784, 57326, 52549, 50887, 50799, 57054, 51748, 54064, 52727, 52091, 51922, 51716, 51748, 52295, 51447, 50997, 51233, 50916, 51194, 50861, 51351, 51085, 51662, 50843, 62032, 51218, 50415, 51784, 61555, 52549, 65599, 51784, 50937, 56759, 51022, 50916, 74554, 60481, 52549, 50942, 50433, 51784, 74048, 53372, 51330, 50843, 50928, 50909, 53259, 50450, 53909, 51330, 50852, 59528, 69594, 50452, 52186, 54424, 52926, 54655, 52278, 50833, 50799, 55825, 51490, 52233, 51748, 51821, 54373, 52547, 51748, 54229, 51922, 52926, 66784, 51484, 50876, 51312, 51050, 51965, 50843, 59622, 64565, 50992, 51692, 50420, 51147, 50925, 50425, 50871, 58069, 50951, 52154, 53962, 50876, 52446, 65489, 52147, 50931, 53275, 50295, 51645, 50843, 54485, 50876, 62929, 51884, 50449, 51784, 55620, 50871, 52386, 50319, 59893, 53553, 52926, 51480, 50931, 56860, 51171, 51671, 50460, 51037, 51449, 50461, 50872, 52071, 50799, 61372, 51748, 54064, 55597, 52072, 51922, 52547, 52727, 53909, 51671, 51120, 51671, 50997, 51671, 50871, 51151, 50906, 51036, 50843, 50928, 50939, 51714, 55057, 54114, 50843, 53430, 51784, 51413, 50843, 53007, 50852, 61824, 52540, 53280, 50461, 51037, 67923, 51423, 50799, 67791, 52147, 52091, 51490, 52295, 51447, 54229, 51490, 51360, 51318, 50997, 51115, 50916, 51310, 50965, 51295, 50992, 51391, 50420, 51037, 51108, 50422, 52186, 51878, 55057, 50928, 51017, 54342, 64786, 50437, 51751, 76357, 65489, 52440, 52606, 52212, 53034, 51703, 52471, 52212, 51197, 51314, 50997, 51080, 50956, 67835, 51103, 50843, 50928, 51037, 51314, 50979, 51080, 50439, 50847, 73006, 50852, 59552, 52624, 50812, 50799, 57380, 51449, 52606, 51313, 52072, 51212 ]
[ 0, 250, 33928, 1619, 3495, 2214, 19, 10, 2842, 9, 11057, 6, 4246, 10, 20902, 20535, 2810, 6, 13305, 6, 8, 31365, 6673, 6909, 4, 20, 21979, 9590, 4719, 5, 12989, 5204, 11, 42, 15352, 30054, 8, 1109, 18948, 8859, 4, 590, 41, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 18, 278, 11, 5, 762, 9, 12608, 538, 6, 21437, 10, 33215, 16739, 9, 12608, 401, 6, 272, 119, 6, 163, 43531, 6, 274, 119, 406, 6, 8, 2060, 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 ]	[ 56236, 50451, 55282, 73170, 51963, 50925, 51776, 50921, 50455, 76407, 52863, 56636, 50924, 52489, 50925, 52747, 51033, 51601, 51892, 50419, 51140, 51291, 52664, 50952, 52970, 61468, 53330, 54611, 51913, 50821, 52002, 50803, 51683, 50821, 52306, 57925, 52770, 51060, 51652, 51158, 51667, 51060, 51643, 58804, 51589, 68099, 52832, 50942, 52770, 50942, 51652, 50959, 51667, 50955, 51892, 50443, 51140, 51291, 52664, 50952, 52103, 61468, 50859, 51892, 50444, 52489, 50821, 52747, 50803, 51683, 50821, 52306, 58403, 51831, 51060, 51652, 51158, 52185, 51060, 51643, 58804, 62445, 51601, 52832, 50942, 51831, 50942, 51652, 50959, 52185, 50955, 51892, 50419, 64112, 51261, 51103, 50431, 50804, 51589, 57577, 51892, 50443, 51560, 51291, 52506, 67230, 50804, 56619, 51601, 51892, 50419, 51140, 51291, 52664, 50952, 52970, 50952, 52506, 54611, 51913, 50821, 51683, 69812, 50804, 51589, 57577, 51892, 50443, 51140, 51413, 52664, 50858, 52103, 50858, 52489, 52218, 51420, 52711, 51683, 58740, 50804, 68594, 51601, 51892, 50419, 51261, 51291, 51721, 51110, 52226, 51215, 51993, 51178, 51643, 60725, 53330, 63024, 51831, 51008, 51721, 50978, 50431, 51643, 50828, 51993, 50795, 52226, 63324, 51589, 57577, 51831, 50952, 51721, 50952, 51643, 50952, 52226, 50952, 51892, 50443, 51560, 51047, 52770, 51110, 51652, 51215, 51721, 51178, 51831, 50991, 52506, 64847, 54641, 51008, 52770, 50978, 50455, 50804, 56619, 51601, 51892, 50419, 51522, 51291, 57147, 50892, 52832, 50892, 52608, 50892, 51978, 50892, 52656, 50873, 51629, 59621, 53330, 66659, 57147, 52071, 52832, 52071, 51978, 51310, 52608, 52071, 52656, 51945, 51629, 52071, 50431, 50804, 51589, 68099, 51892, 50443, 51978, 51145, 52506, 52711, 51522, 51218, 50451, 53919, 79930, 50804, 51589, 53820, 52357, 51142, 50459, 52052, 50833, 51601, 53117, 50921, 51892, 50419, 52357, 51121, 57147, 51233, 54641, 51233, 53580, 51233, 51978, 51233, 52656, 51178, 51629, 50892, 52506, 54611, 51261, 51103, 50425, 51304, 50981, 50427, 52052, 50987, 53250, 51233, 52770, 51233, 51978, 51233, 52656, 51233, 52380, 51178, 50431, 50804, 51589, 52749, 52128, 51111, 50435, 53777, 51233, 51831, 51233, 52656, 51233, 52380, 51233, 53786, 51178, 50437, 51811, 69641, 51339, 51753, 51892, 50443, 51560, 51291, 55062, 51233, 54641, 51233, 53580, 51233, 52608, 51233, 51979, 51178, 51182, 59621, 52189, 63771, 51629, 50981, 50451, 57147, 51233, 54641, 51233, 53580, 51233, 51978, 51233, 52656, 51178, 50455, 50804, 51589, 54846, 54414, 51233, 54103, 51233, 52608, 51233, 51979, 51233, 52436, 51178, 50461, 51394, 50892, 51601, 51892, 50419, 51522, 50918, 57147, 51293, 52832, 51293, 51978, 51145, 52608, 51293, 52656, 51359, 51629, 78901, 52153, 66113, 50804, 51589, 54181, 53919, 50924, 50439, 51892, 50442, 52357, 51753, 50443, 51140, 51413, 51978, 66492, 52189, 64847, 52052, 51051, 50455, 53117, 65220, 56062, 52938, 50833, 50799, 52357, 50912, 50415, 51892, 50419, 52128, 51328, 51261, 51291, 57147, 51233, 54641, 51233, 53580, 51233, 51978, 51233, 52656, 51178, 51629, 59621, 53330, 62046, 51304, 50981, 50427, 53250, 51233, 52770, 51233, 51978, 51233, 52656, 51233, 52380, 51178, 50431, 50804, 51589, 56529, 53777, 51233, 51831, 51233, 52656, 51233, 52380, 51233, 53786, 51178, 50437, 51811, 69641, 51892, 50443, 51560, 51291, 55062, 51310, 54641, 51310, 53580, 51310, 52608, 51310, 51979, 51218, 51182, 51310, 50801, 50859, 51892, 50455, 50804, 61382, 50461, 55062, 50892, 54641, 50892, 53580, 50892, 52608, 50892, 51979, 50873, 51182, 50892, 51601, 51892, 50419, 51140, 51291, 54812, 50892, 52832, 50892, 52608, 50892, 51978, 50892, 52172, 50873, 51284, 59621, 53330, 66659, 54812, 50892, 52832, 50892, 52608, 50892, 51978, 50892, 52172, 50873, 51284, 50892, 50431, 54812, 51677, 52832, 51677, 52608, 51677, 51978, 51677, 52172, 51518, 51284, 51677, 50804, 51589, 68099, 51892, 50443, 51150, 62592, 52189, 67230, 50804, 68594, 51601, 51892, 50419, 54414, 51233, 54103, 51233, 51978, 51233, 52656, 51233, 52436, 51178, 51394, 59621, 53330, 52871, 51261, 51103, 50425, 51304, 50981, 50427, 53250, 51233, 52770, 51233, 51978, 51233, 52656, 51233, 52380, 51178, 50431, 50804, 51589, 54125, 55343, 51233, 51831, 51233, 52656, 51233, 52436, 51233, 53979, 51178, 50437, 51905, 69641, 51892, 50443, 53777, 50981, 51652, 50981, 52436, 50981, 53979, 50981, 53786, 50943, 51811, 50981, 52506, 52711, 51560, 51103, 50455, 54414, 50981, 54103, 50981, 52608, 50981, 51979, 50981, 52436, 50943, 51394, 57604, 56619, 51601, 51892, 50419, 51522, 51291, 53250, 55277, 52770, 55277, 51978, 55277, 52656, 55277, 52380, 55068, 51304, 55277, 52506, 66113, 50804, 51589, 68099, 51892, 50443, 51930, 62592, 52189, 67230, 50804, 68594, 51601, 51892, 50419, 51522, 51291, 52506, 66113, 50804, 51589, 68099, 51892, 50443, 51930, 62592, 50859, 51892, 50455, 50804, 56619, 51601, 51892, 50419, 53250, 50892, 52376, 50892, 51979, 50892, 52172, 50892, 52380, 50873, 51304, 50892, 64112, 51984, 51218, 50425, 53250, 52071, 52376, 52071, 52172, 51310, 51979, 52071, 52380, 51945, 51304, 52071, 50431, 50804, 51589, 68099, 50852, 50912, 50443, 51216, 51291, 52172, 51145, 52506, 67230, 50804, 61382, 51601, 51892, 50419, 53250, 51233, 52457, 51233, 51978, 51233, 52172, 51233, 52380, 51178, 51304, 50892, 52506, 54611, 51273, 51103, 50425, 51733, 50981, 50427, 53771, 51233, 51652, 51233, 52172, 51233, 52380, 51233, 53625, 51178, 50431, 50804, 51589, 56529, 53863, 51233, 51667, 51233, 52380, 51233, 53625, 51233, 53610, 51178, 50437, 51266, 50892, 51926, 69641, 51892, 50443, 51098, 51047, 56213, 51310, 52457, 51310, 51978, 51310, 51979, 51310, 53319, 51218, 51558, 51310, 50801, 52189, 67230, 50804, 61382, 50461, 53250, 50844, 52457, 50844, 51978, 50844, 52172, 50844, 52380, 50833, 51304, 50892, 51601, 51892, 50416, 53077, 50844, 51831, 50844, 51979, 50844, 53319, 50844, 52833, 72141, 53250, 51293, 52376, 51293, 52172, 51145, 51979, 51293, 52380, 51359, 51304, 51293, 51384, 59621, 52153, 54611, 52078, 51417, 50429, 51062, 51100, 50431, 50804, 51589, 54181, 51430, 51235, 50439, 50852, 50912, 50443, 52172, 66492, 52189, 52711, 51984, 51417, 50448, 51487, 51111, 50455, 51430, 73836, 56062, 52938, 50833, 75464, 67381, 51892, 50419, 51273, 51291, 53250, 51233, 52457, 51233, 51978, 51233, 52172, 51233, 52380, 51178, 51304, 59621, 53330, 70038, 51339, 51364, 50425, 51733, 50981, 50427, 53771, 51233, 51652, 51233, 52172, 51233, 52380, 51233, 53625, 51178, 50431, 50804, 51589, 56529, 53863, 51233, 51667, 51233, 52380, 51233, 53625, 51233, 53610, 51178, 50437, 51266, 50892, 51926, 53913, 51814, 51073, 50439, 51892, 50443, 51098, 51291, 56213, 51310, 52457, 51310, 51978, 51310, 51979, 51310, 53319, 51218, 51558, 51310, 52506, 63771, 52357, 51124, 50455, 50804, 61382, 50458, 53117, 51060, 50461, 56213, 50892, 52457, 50892, 51978, 50892, 51979, 50892, 53319, 50873, 51558, 50892, 51601, 51892, 50418, 52357, 51218, 50419, 51150, 51291, 53771, 50892, 51652, 50892, 52436, 50892, 52380, 50892, 53625, 50873, 51733, 50892, 55032, 50425, 53771, 50892, 51652, 50892, 52436, 50892, 52380, 50892, 53625, 50873, 51733, 50892, 50431, 53771, 51145, 51652, 50981, 52436, 51145, 52380, 51145, 53625, 51127, 51733, 51145, 50804, 51589, 68099, 51892, 50443, 51150, 51291, 52522 ]
[ 0, 250, 15352, 30054, 5175, 8, 14123, 3495, 2214, 4246, 23338, 33518, 1264, 6, 13305, 6, 21979, 8669, 6, 31391, 1672, 9590, 6, 8, 6755, 12547, 6, 2351, 10, 19448, 8, 1372, 5466, 10686, 13, 3618, 930, 50, 2365, 9629, 6, 19, 10, 1769, 20889, 9, 10529, 163, 5683, 11, 204, 73, 306, 86, 6543, 6, 278, 11, 5, 762, 9, 272, 3694, 6, 8, 21437, 5, 33215, 16739, 9, 163, 43531, 1176, 406, 6, 1918, 406, 6, 8, 274, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 54920, 52536, 50801, 55023, 51594, 50367, 52054, 59268, 50812, 51465, 51151, 51672, 51353, 51327, 51353, 51981, 79197, 52721, 51353, 51971, 51353, 51992, 53363, 52906, 51620, 60298, 50367, 51861, 52749, 50852, 51724, 60298, 50367, 51861, 52597, 50801, 52227, 51757, 60298, 50367, 51861, 55874, 57986, 55346, 50852, 52567, 52993, 52764, 50810, 54920, 52536, 50801, 55023, 51594, 50367, 51861, 50812, 56139, 51391, 54872, 51318, 51476, 51134, 51231, 51218, 51756, 51177, 52527, 51177, 55207, 79180, 51756, 51124, 52527, 51124, 52943, 51238, 51768, 51594, 50367, 51861, 64123, 53037, 51203, 52527, 51203, 51992, 78265, 50852, 52262, 54872, 52015, 50436, 51231, 51103, 51687, 51183, 51327, 51103, 59015, 51594, 50367, 51861, 75804, 53037, 51172, 51756, 51172, 51850, 51363, 67345, 60283, 50448, 53037, 51221, 51756, 51221, 52527, 51116, 51955, 51594, 50367, 51861, 55874, 50801, 51754, 50804, 56254, 57459, 52861, 51293, 52280, 51293, 51760, 51353, 50459, 51416, 52764, 50907, 54920, 51345, 50801, 55023, 51594, 50367, 51861, 50812, 51303, 51391, 51414, 51318, 51327, 51134, 51825, 51218, 52906, 52296, 52993, 59386, 60160, 50897, 60298, 50367, 51861, 60313, 51416, 52749, 52993, 61484, 52262, 55301, 51591, 51414, 52015, 50436, 51825, 51103, 53171, 51103, 59015, 51594, 50367, 51861, 52597, 50801, 52227, 51757, 50903, 54092, 51420, 50367, 51861, 55874, 50801, 51754, 50852, 57459, 53037, 51445, 55458, 54143, 51756, 52919, 50459, 54524, 54920, 52536, 50801, 55023, 51594, 50367, 51861, 50812, 56139, 51151, 54872, 51353, 51476, 51353, 51303, 51151, 52906, 51620, 60298, 50367, 51861, 52749, 50804, 52691, 60298, 50367, 51861, 52597, 50801, 52227, 51757, 50903, 54092, 51420, 50367, 51861, 55874, 50801, 51754, 50852, 52567, 51416, 52423, 50812, 51094, 50302, 51238, 50801, 55023, 51594, 50367, 51861, 50812, 56139, 51151, 52303, 51353, 52102, 51353, 51719, 51151, 52280, 57030, 52280, 53380, 52840, 53380, 52678, 53363, 52906, 52296, 51526, 50952, 51768, 51594, 50367, 51861, 52749, 51526, 51661, 50852, 51724, 60298, 50367, 51861, 52597, 50801, 52227, 51757, 60298, 50367, 51861, 55874, 50801, 51754, 52458, 54345, 56254, 52567, 52458, 54218, 50907, 59373, 52536, 50801, 55023, 51594, 50367, 51861, 50812, 54872, 51310, 52102, 51295, 51719, 51310, 55207, 79180, 52280, 51534, 52840, 51534, 51850, 51363, 51768, 51594, 50367, 51861, 64123, 54598, 51534, 52280, 51534, 52527, 71895, 59011, 52303, 51790, 51687, 51790, 51651, 51623, 59015, 51594, 50367, 51861, 75804, 55458, 51423, 54598, 51423, 52840, 51233, 67345, 60283, 50448, 55458, 52188, 54598, 52188, 51756, 51775, 51955, 51594, 50367, 51861, 55874, 50801, 51754, 50804, 56254, 59747, 54227, 51293, 53037, 51293, 52721, 51359, 50459, 54423, 52764, 50907, 63065, 70910, 55023, 51594, 50367, 51861, 50812, 51465, 51151, 51672, 51353, 52109, 51353, 53001, 51151, 52906, 51620, 60298, 50367, 51861, 52749, 52458, 51073, 50852, 51724, 60298, 50367, 51861, 52597, 50801, 52227, 52513, 52458, 52800, 55298, 71074, 51594, 50367, 51861, 55874, 52458, 53841, 51754, 54785, 53661, 56254, 57459, 55458, 51449, 52387, 51449, 52280, 51313, 52198, 50907, 55609, 73503, 55023, 51594, 50367, 51861, 50812, 51231, 51151, 51980, 51353, 52932, 51151, 52906, 51620, 60298, 50367, 51861, 52749, 54785, 51661, 50852, 51724, 60298, 50367, 51861, 52597, 50801, 52227, 51757, 60298, 50367, 51861, 55874, 51602, 53243, 51754, 51526, 54345, 56254, 52567, 51526, 52467, 50907, 54920, 70910, 55023, 51594, 50367, 51861, 50812, 51687, 50915, 51231, 50915, 51414, 50915, 51457, 50915, 50415, 52387, 51293, 52280, 51293, 52527, 51359, 52906, 51620, 60298, 50367, 51861, 55658, 51687, 50942, 51231, 50942, 51414, 50942, 51457, 59517, 51416, 51073, 50852, 51724, 60298, 50367, 51861, 50812, 51687, 51047, 51231, 51047, 51414, 51047, 51457, 63897, 50801, 52227, 52513, 51416, 52800, 54144, 71074, 51594, 50367, 51861, 55874, 51416, 53841, 51754, 52993, 55220, 50800, 52894, 73841, 55023, 51594, 50367, 51861, 50812, 51687, 50915, 51303, 50915, 51414, 50915, 55458, 50987, 52906, 57257, 52280, 51797, 51756, 51797, 51850, 51309, 51768, 51594, 50367, 51861, 55658, 51416, 50991, 51687, 50942, 51303, 50942, 51414, 73488, 55458, 52034, 52387, 52034, 51756, 51172, 62382, 50822, 65270, 51073, 60298, 50367, 51861, 50812, 51687, 51047, 51303, 51047, 51414, 51047, 50439, 52387, 51412, 52280, 51412, 52527, 51203, 67345, 52227, 52513, 52280, 51412, 52527, 51412, 51992, 51255, 50450, 51132, 51095, 50903, 54092, 51420, 50367, 51861, 55874, 50801, 58740, 51756, 51242, 52527, 51242, 52235, 51194, 56672, 52567, 54524, 52894, 60314, 55023, 51594, 50367, 51861, 50812, 52690, 51151, 51410, 51353, 51672, 51151, 52721, 50829, 51760, 64301, 51760, 51047, 51992, 51047, 53399, 51103, 55207, 50912, 51768, 51594, 50367, 51861, 52749, 52584, 51896, 50852, 51724, 60298, 50367, 51861, 75804, 52721, 53280, 51760, 53280, 52235, 52136, 67345, 52227, 51757, 60298, 50367, 51861, 55874, 50801, 51754, 50804, 56254, 50800, 52721, 50878, 51760, 50878, 51992, 50925, 52198, 50907, 52894, 52536, 50801, 55023, 51594, 50367, 51861, 50812, 51687, 51391, 51414, 51318, 51457, 51134, 51981, 51218, 50416, 52280, 52335, 52527, 52335, 51992, 52151, 55207, 50912, 51768, 51594, 50367, 51861, 52749, 50852, 52262, 51414, 52015, 50436, 51981, 51103, 51980, 51183, 54310, 51103, 59015, 51594, 50367, 51861, 52597, 50801, 52227, 51757, 60298, 50367, 51861, 55874, 50801, 51754, 50804, 56254, 52567, 52993, 52764, 50907, 52894, 66191, 55023, 51594, 50367, 51861, 50812, 51303, 51056, 52109, 51056, 53001, 51056, 50415, 52840, 51218, 51850, 51218, 52943, 51141, 52906, 52296, 54785, 52921, 60160, 51014, 60298, 50367, 51861, 50812, 52102, 50959, 51303, 50959, 51651, 76978, 54785, 53810, 51132, 52672, 50800, 51303, 50873, 52109, 50873, 53001, 77834, 52280, 51318, 52527, 51318, 51992, 51295, 50435, 52584, 52877, 51132, 50980, 60298, 50367, 51861, 50812, 51687, 51056, 51231, 51056, 51414, 51056, 51980, 51056, 67345, 52227, 52513, 51526, 53140, 52993, 51014, 60298, 50367, 51861, 50812, 51687, 50959, 51231, 50959, 51414, 50959, 52387, 50915, 52280, 50915, 51850, 53380, 50453, 51526, 53345, 51754, 51132, 52672, 50800, 51687, 50873, 51231, 50873, 51414, 50873, 51980, 63007, 52584, 50821, 52894, 60314, 55023, 51594, 50367, 51861, 50812, 51303, 51391, 52109, 51318, 51825, 51134, 53001, 51218, 52861, 51151, 53037, 51151, 52906, 51620, 60298, 50367, 51861, 52749, 52584, 51896, 50852, 52262, 52109, 52015, 50436, 53001, 51103, 51825, 51183, 56074, 51103, 59015, 51594, 50367, 51861, 52597, 50801, 52227, 51757, 50903, 54092, 51420, 50367, 51861, 55874, 50801, 51754, 50852, 52567, 54524, 54920, 51585, 50801, 55023, 51594, 50367, 51861, 59249, 51687, 51255, 51231, 51255, 51327, 51255, 52906, 60809, 51303, 51109, 51249, 51109, 51327, 51109, 51768, 51594, 50367, 51861, 52749, 50852, 51724, 60298, 50367, 51861, 52597, 50801, 52227, 59070, 51687, 51194, 51231, 51194, 51327, 51194, 50447, 52585, 54004, 54144, 50952, 60298, 50367, 51861, 55874, 50801, 50800, 51303, 51043, 51249, 51043, 51327, 51043, 50454, 52585, 52643, 52993, 54416, 56254, 50800, 52198, 50907, 54920, 70910, 55023, 51594, 50367, 51861 ]
[ 0, 713, 765, 5175, 37903, 11, 274, 538, 1575, 10, 38668, 483, 6, 21072, 6, 21979, 9590, 6, 8, 38668, 22052, 4, 590, 10, 20889, 9, 7694, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 15352, 30054, 8, 2829, 2933, 5466, 6, 20455, 9, 10, 569, 177, 19834, 4, 20, 33215, 16739, 1171, 274, 73, 534, 6, 230, 6, 274, 6, 274, 401, 6, 8, 272, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 51150, 51091, 51716, 51922, 55094, 51402, 66421, 50811, 51694, 52702, 52726, 52412, 50901, 51150, 51370, 54496, 50798, 52952, 52412, 53330, 55092, 52408, 53590, 51559, 52940, 52479, 51003, 51150, 55157, 68373, 51899, 79924, 52884, 52117, 51351, 50816, 53903, 53206, 50811, 60200, 51091, 52547, 78497, 52084, 63137, 55804, 50856, 52084, 50811, 53158, 52968, 52117, 55742, 52084, 54935, 52117, 59384, 52726, 51793, 53592, 54496, 50798, 52952, 52696, 51003, 50832, 55092, 50798, 55892, 52084, 52940, 51793, 55157, 54046, 52768, 52117, 57353, 52084, 55552, 50856, 52884, 52452, 69238, 50811, 54204, 51091, 54638, 51748, 50798, 52084, 55804, 50856, 52084, 50811, 53158, 50811, 51694, 52084, 54935, 50856, 52726, 52276, 50854, 51261, 53592, 54496, 52276, 53590, 52952, 52276, 59510, 55092, 50798, 55892, 52084, 52940, 52412, 50901, 51261, 55157, 54046, 52768, 52408, 57353, 52084, 55552, 50856, 52884, 52479, 69238, 50811, 66269, 51091, 52072, 78497, 52084, 55804, 50856, 52084, 50811, 53158, 50811, 51694, 52084, 54935, 50856, 52726, 52479, 50854, 51793, 53592, 54496, 52479, 53590, 52952, 52408, 59510, 55092, 50798, 55892, 52084, 52940, 52412, 50901, 51793, 55157, 54046, 52768, 52276, 57353, 52084, 55552, 50856, 52884, 52412, 69238, 50811, 53788, 51091, 51716, 78497, 52084, 55804, 50856, 52084, 50811, 53158, 50811, 51694, 52084, 54935, 50856, 52726, 52412, 50901, 51150, 52152, 54046, 54496, 50798, 52952, 52412, 54748, 55092, 52408, 53590, 55892, 52084, 52940, 52479, 51003, 51150, 55157, 60901, 51899, 52084, 55552, 50856, 52884, 52117, 69238, 50811, 60200, 51091, 52547, 78497, 52084, 55804, 50856, 52084, 50811, 53158, 52968, 52117, 55742, 52084, 54935, 52117, 59384, 52726, 51793, 53592, 54496, 50798, 52952, 52696, 51003, 50832, 55092, 50798, 55892, 52084, 52940, 51793, 55157, 54046, 52768, 52117, 57353, 52084, 55552, 50856, 52884, 52452, 51351, 75550, 54204, 51091, 54638, 51748, 50798, 52084, 55804, 50856, 52084, 50811, 53158, 50811, 51694, 52084, 54935, 50856, 52726, 52276, 50854, 51261, 53592, 54496, 52276, 53590, 52952, 52276, 59510, 55092, 50798, 55892, 52084, 52940, 52412, 50901, 51261, 55157, 54046, 52768, 52408, 57353, 52084, 55552, 50856, 52884, 52479, 69238, 50811, 66269, 51091, 52072, 78497, 52084, 55804, 50856, 52084, 50811, 53158, 50811, 51694, 52084, 54935, 50856, 52726, 52479, 50854, 51793, 53592, 54496, 52479, 53590, 52952, 52408, 59510, 55092, 50798, 55892, 52084, 52940, 52412, 50901, 51793, 55157, 54046, 52768, 52276, 57353, 52084, 55552, 50856, 52884, 52412, 69238, 50811, 53788, 51091, 51716, 78497, 52084, 55804, 50856, 52084, 50811, 53158, 50811, 51694, 52084, 54935, 50856, 52726, 51150, 53592, 54496, 50798, 52952, 50832, 55092, 50798, 55892, 52084, 52940, 51150, 55157, 60901, 51899, 52084, 55552, 50856, 52884, 50816, 60901, 53206, 50811, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2842, 9, 15073, 6, 4246, 326, 15673, 10342, 6, 81, 9756, 8669, 6, 31391, 1672, 9590, 6, 21072, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 19448, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 20, 33215, 16739, 9, 230, 119, 1176, 406, 6, 272, 401, 6, 230, 119, 1176, 406, 6, 8, 3676, 406, 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 ]	[ 57448, 53028, 75011, 50835, 51570, 52772, 51956, 53028, 75011, 50835, 51570, 60822, 50763, 50356, 57295, 50763, 50355, 71480, 50763, 50353, 50930, 50763, 50351, 57887, 51956, 50763, 50350, 51031, 50763, 50348, 57895, 50763, 50356, 58839, 50763, 50355, 53848, 50763, 50353, 58693, 50763, 50351, 50840, 50763, 50350, 50887, 51094, 50299, 50812, 55199, 50925, 72714, 55376, 50763, 50348, 50859, 50416, 50763, 50346, 61060, 54144, 50858, 55873, 74871, 50763, 50344, 50800, 50763, 50355, 54402, 55301, 50858, 58385, 50821, 50763, 50353, 50828, 50763, 50351, 62906, 50763, 50350, 61359, 50763, 50348, 65647, 57435, 50830, 57716, 59474, 50763, 50346, 53049, 55301, 51486, 58385, 51446, 58128, 51446, 50856, 52707, 50891, 50763, 50344, 50833, 50763, 50343, 75322, 73876, 57050, 50763, 50339, 61699, 50763, 50338, 53705, 73245, 50763, 50336, 61231, 50763, 50334, 63221, 50763, 50332, 64359, 50763, 50331, 57667, 50763, 50329, 54927, 50856, 52707, 50891, 50763, 50327, 57477, 64976, 56432, 79816, 72536, 50763, 50322, 53858, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 50798, 50835, 54983, 50830, 54876, 50925, 72714, 52707, 61252, 51684, 50821, 55199, 54718, 52584, 50921, 55873, 50936, 50913, 56016, 54144, 50833, 57655, 54818, 52993, 51675, 58385, 50918, 55199, 51103, 50856, 52707, 53670, 50913, 54114, 50856, 52707, 53384, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 50798, 50829, 53053, 50808, 53807, 50925, 72714, 52707, 61252, 51526, 50821, 54030, 55446, 51684, 50952, 55199, 78562, 56016, 52584, 50859, 55873, 52710, 52474, 50983, 55199, 56300, 53807, 55277, 50856, 52707, 68713, 54173, 55277, 65304, 54114, 50856, 52707, 62971, 72517, 50882, 50744, 50292, 55920, 51338, 54738, 59275, 53057, 51338, 53259, 50744, 50292, 55362, 72517, 55362, 50856, 52707, 55047, 52738, 50913, 50908, 55858, 52707, 53738, 50913, 53098, 50856, 52707, 50891, 51974, 52543, 50928, 51450, 53237, 52707, 53384, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 50798, 50835, 51094, 50299, 50812, 55199, 50925, 52387, 51730, 53237, 52532, 61252, 54144, 50858, 55873, 50858, 52213, 54611, 55301, 50858, 58385, 50821, 51756, 55006, 56016, 57435, 50800, 57716, 50809, 51760, 52329, 55301, 51486, 58385, 51446, 58128, 51446, 51756, 51077, 50856, 52707, 53670, 50913, 54114, 50856, 52707, 53384, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 65959, 53197, 50835, 54983, 50800, 54876, 50833, 57695, 53948, 53237, 52707, 61252, 51684, 50821, 55199, 50858, 54091, 68582, 52584, 50821, 55873, 50936, 52861, 54766, 56016, 54144, 50833, 57655, 50887, 52213, 52450, 52993, 51675, 58385, 50918, 55199, 51103, 52387, 51183, 50856, 52707, 53670, 50913, 54114, 50856, 52707, 53384, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 65959, 54902, 50829, 53053, 50910, 53807, 50925, 65959, 53303, 53237, 52707, 61252, 51526, 50921, 54030, 50882, 57695, 53728, 51684, 50952, 55199, 50952, 54091, 53869, 56016, 52584, 50859, 55873, 50812, 52861, 52450, 52474, 50983, 55199, 56300, 53807, 55277, 54227, 78886, 52707, 68713, 54173, 55277, 65304, 54114, 50856, 52707, 62971, 72517, 50882, 50744, 50292, 55920, 51338, 50867, 54786, 54766, 59275, 53057, 51338, 53259, 54786, 51486, 50744, 50292, 55362, 72517, 55362, 50856, 52707, 55047, 52738, 50913, 50908, 50799, 51436, 68942, 52707, 61252, 51250, 69551, 51262, 67160, 56016, 51223, 51941, 50426, 51250, 52369, 50856, 52707, 53670, 51940, 51662, 51478, 52015, 50798, 52543, 50928, 51450, 53237, 52707, 53384, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 50798, 50835, 51094, 50299, 50812, 55199, 50925, 52387, 53632, 53237, 52532, 61252, 54144, 50858, 55873, 50858, 52213, 53066, 55301, 50858, 58385, 50821, 51756, 56474, 56016, 57435, 50830, 57716, 50809, 51760, 54156, 55301, 51486, 58385, 51446, 58128, 51446, 51756, 51358, 50856, 52707, 53670, 50913, 54114, 50856, 52707, 53384, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 50798, 50835, 54983, 50830, 54876, 50925, 57695, 53197, 53237, 52707, 61252, 51684, 50821, 55199, 50858, 54091, 68655, 52584, 50921, 55873, 50936, 52861, 53189, 56016, 54144, 50833, 57655, 50887, 52213, 52450, 52993, 51675, 58385, 50918, 55199, 51103, 52387, 51358, 50856, 52707, 53670, 50913, 54114, 51770, 51121, 52150, 51173, 50856, 52707, 53384, 52232, 51277, 52400, 51192, 50913, 53430, 50856, 52707, 69232, 51478, 51283, 51940, 51364, 63908, 56013, 65959, 54880, 50829, 53053, 50910, 53807, 50925, 65959, 53197, 53237, 52707, 61252, 51526, 50921, 54030, 50882, 57695, 54448, 51684, 50952, 55199, 50952, 54091, 55355, 56016, 52584, 50859, 55873, 50812, 52861, 53425, 52474, 50983, 55199, 56300, 53807, 55277, 54227, 51189, 50856, 52707, 68713, 54173, 55277, 65304, 54114, 50856, 52707, 62971, 72517, 50882, 50744, 50292, 55920, 51338, 50809, 54786, 52532, 59275, 53057, 51338, 52536, 54786, 51358, 50744, 50292, 55362, 72517, 55362, 50856, 52707, 55047, 52738, 50913, 50908, 50799, 51436, 68942, 52707, 61252, 51250, 69551, 51262, 67160, 56016, 51223, 51941, 50426, 51250, 52369, 50856, 52707, 50891, 51974, 52543, 60622, 51769, 50891, 51450, 53237, 52707, 53384, 52387, 53852, 52755, 56377, 51137, 50836, 52387, 53756, 53057, 51137, 50858, 52387, 50940, 51456, 51920, 52790, 58207, 51349, 50808, 52213, 64817, 52579, 51416, 50858, 51756, 50378, 53221, 52755, 56013, 50798, 50835, 54920, 50805, 52527, 50846, 51971, 58790, 53756, 52761, 51684, 50879, 51760, 59396, 51865, 61266, 50763, 50356, 59946, 50763, 50355, 62782, 50763, 50353, 50840, 50763, 50351, 54818, 52474, 51030, 51756, 52411, 58278, 50818, 50763, 50350, 50884, 50763, 50348, 62171, 74420, 56082, 67688, 56082, 64679, 56082, 66681, 56082, 50432, 58154, 51356, 52213, 51685, 52356, 52816, 61251, 50763, 50356, 56585, 50763, 50355, 55167, 50763, 50353, 59701, 50763, 50351, 50857, 50763, 50350, 50862, 51570, 56068, 50763, 50348, 50854, 50440, 50763, 50346, 63753, 50763, 50344, 50810, 50763, 50355, 50867, 54032, 50834, 50763, 50353, 50829, 50763, 50351, 63693, 50763, 50350, 61334, 50763, 50348, 51008, 50448, 50763, 50346, 54385, 54030, 50808, 57716, 53228, 66069, 50763, 50344, 50874, 50763, 50343, 50851, 50452, 73876, 61096, 50763, 50339, 68935, 50763, 50338, 55293, 73550, 50763, 50336, 78473, 50763, 50334, 51123, 50458, 50763, 50332, 69510, 51132, 52411, 59652, 50763, 50331, 59119, 50763, 50329, 51126, 52894, 51977, 54173, 50940, 58385, 53393, 51187, 50846, 50763, 50327, 66583, 64976, 50908, 53440, 50825, 79816, 72364, 50763, 50322, 62861, 54069, 50843, 52712, 53807, 50800, 58128, 50809, 79211, 50828, 53764, 80029, 54002, 50843, 55136, 52766, 53091, 50858, 55199, 53690, 66069, 54268, 52875, 52387, 51539, 54255, 51137, 50809, 52387, 53833, 52772, 51137, 50858, 52387, 55508, 51187, 54363, 51349, 50800, 52213, 61871, 53137, 51416, 50858, 51756, 51187, 53756, 54600, 51756, 54119, 50835, 54920, 50879, 52527, 50895, 51971, 51654, 51187, 50846, 53440, 52944, 51684, 50938, 51760, 54523, 51464, 54069, 50843, 52712, 52474, 50893, 51756, 54690, 66069, 53764, 52818, 58154, 51356, 52213, 50896, 74420, 56082, 66681, 56082, 64679, 56082, 67688, 56082, 61246, 53908, 73693, 51570, 50828, 54268, 52875, 52387, 51397, 52093, 59341, 52772, 54030, 50808, 57716, 53228, 51187, 54363, 73693, 51453, 54370, 51132, 56690, 55136, 50834, 52894, 51977 ]
[ 0, 250, 33928, 8, 33558, 3495, 2214, 4246, 10, 13305, 483, 7513, 30, 31391, 1672, 9590, 6, 326, 5638, 18026, 6, 2724, 368, 31365, 25999, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 41, 17627, 17274, 2365, 5466, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 60603, 50821, 51144, 50821, 51119, 50821, 51837, 50858, 52709, 50821, 55165, 50882, 51132, 68113, 55456, 64754, 51280, 50858, 51144, 50950, 51119, 50821, 51837, 50894, 52709, 50882, 55165, 54567, 65532, 51280, 50821, 51144, 50821, 51119, 50882, 51837, 50859, 52709, 50858, 55165, 55328, 52654, 51280, 50950, 51144, 50894, 51119, 50858, 51837, 50858, 52709, 50882, 55165, 50859, 51118, 50839, 51023, 59607, 51907, 54049, 59545, 51280, 50800, 51144, 50950, 51119, 50950, 51837, 50882, 52709, 50821, 55165, 50858, 51349, 50937, 54547, 50434, 51280, 50821, 51144, 50882, 51119, 50821, 51837, 50859, 52709, 50858, 55165, 50821, 51416, 50910, 73522, 52729, 51280, 50858, 51232, 50894, 51099, 50821, 51837, 50882, 52778, 50821, 53519, 50821, 51416, 57130, 55413, 50442, 51280, 50821, 51232, 50821, 51099, 50894, 51837, 50821, 52778, 50821, 53519, 55400, 62077, 51280, 50859, 51232, 50894, 51099, 50950, 51837, 50821, 52778, 50821, 53519, 55768, 52843, 51280, 50821, 51232, 50882, 51099, 50894, 51837, 50858, 52778, 50858, 53519, 59494, 71867, 50863, 51137, 50943, 59611, 53507, 57924, 51280, 50859, 51232, 50882, 51099, 50821, 51837, 50950, 52778, 50821, 53519, 55328, 63105, 51280, 50950, 51232, 50858, 51099, 50821, 51837, 50821, 52778, 50800, 53519, 53558, 70968, 61310, 50882, 51144, 50882, 51308, 50821, 52353, 50859, 52709, 50894, 55374, 50821, 51526, 67839, 55413, 50418, 51198, 50821, 51144, 50800, 51308, 50858, 52353, 50858, 52709, 50821, 55374, 59540, 65532, 51198, 50821, 51144, 50803, 51308, 50858, 52353, 50821, 52709, 50821, 55374, 59540, 52654, 51198, 50858, 72595, 51308, 50821, 52353, 50882, 52709, 50821, 55374, 50821, 51083, 71867, 59607, 51907, 53507, 59545, 69322, 72548, 51308, 50858, 52353, 50950, 52709, 50950, 55374, 50821, 51132, 59190, 59909, 51198, 50858, 51144, 50859, 77595, 52353, 50821, 52709, 50821, 55374, 50821, 51132, 50910, 73522, 52729, 51280, 51932, 51232, 50980, 51099, 50980, 51837, 51112, 52778, 50980, 53519, 51932, 51416, 67839, 55413, 50442, 54547, 56576, 52843, 51280, 50894, 51837, 68094, 71867, 50863, 50876, 63390, 51907, 56757, 50454, 51198, 50821, 52353, 50808, 50902, 50882, 51137, 59190, 63105, 51144, 50821, 52709, 50821, 70640, 51137, 50910, 53360, 52258, 70781, 51603, 55165, 51500, 50999, 51112, 51132, 68113, 55413, 50418, 54547, 56400, 52654, 51119, 50950, 55165, 50859, 51118, 50839, 79082, 50999, 68957, 51907, 54049, 59545, 51153, 50858, 53481, 50950, 51062, 50882, 51349, 50937, 54547, 50434, 51275, 50859, 59150, 50821, 51146, 50858, 51416, 50910, 73522, 52729, 51119, 51045, 55165, 50823, 50999, 51045, 51416, 57130, 55413, 50442, 54547, 50446, 51099, 50859, 53519, 50858, 50951, 54567, 52843, 51144, 50882, 52709, 50821, 51089, 71867, 50863, 57061, 51137, 50943, 59611, 53507, 57924, 51099, 50882, 53519, 50803, 50951, 55328, 63105, 51198, 50821, 52353, 64441, 53287, 70968, 62673, 50940, 52709, 50830, 50931, 50921, 51526, 67839, 55413, 50418, 54547, 50422, 51099, 50859, 53519, 50894, 50951, 54567, 52654, 51144, 51345, 52709, 51227, 51083, 71867, 50863, 50931, 51227, 59611, 54049, 59545, 51132, 59190, 59909, 51132, 50910, 73522, 52729, 51119, 50940, 55165, 50910, 74104, 51416, 67839, 55413, 50442, 54547, 50446, 51153, 50882, 53481, 50858, 51062, 51740, 52843, 51099, 50821, 53519, 50821, 51089, 71867, 50863, 50951, 63390, 51907, 53507, 57924, 51144, 50882, 52709, 50821, 72862, 51137, 59190, 63105, 51198, 50821, 52353, 50821, 50902, 50950, 51137, 50910, 69447, 62673, 51603, 52709, 72694, 51603, 51132, 67839, 55413, 50418, 54547, 56400, 52654, 51119, 50882, 55165, 75631, 50839, 79082, 50999, 62809, 51907, 53507, 59545, 51144, 50882, 52709, 50859, 50931, 50894, 51416, 59190, 59909, 51099, 50859, 53519, 50821, 62678, 51416, 50910, 73522, 52729, 51144, 50921, 52709, 51033, 73057, 51526, 57130, 55413, 50442, 54547, 50446, 51119, 50821, 55165, 50821, 50999, 54567, 52843, 51099, 50894, 53519, 50859, 51083, 71867, 50863, 62679, 51132, 50943, 59611, 56757, 50454, 51144, 50800, 52709, 50882, 50931, 58095, 63105, 51198, 50950, 52353, 50821, 50902, 53558, 69373, 62673, 50980, 52709, 51227, 50931, 50980, 51132, 68113, 55413, 50418, 54547, 56400, 52654, 51708, 50950, 51578, 75631, 50839, 79082, 50877, 65465, 51907, 54049, 59545, 51280, 50821, 51837, 50821, 61496, 51349, 50937, 54547, 50434, 51198, 50858, 52353, 50821, 68455, 51416, 50910, 73522, 52729, 51280, 51603, 51837, 51227, 50876, 51500, 51416, 67839, 55413, 50442, 54547, 56576, 52843, 55235, 50882, 52172, 50821, 51119, 50821, 55165, 50821, 51089, 79165, 50863, 50999, 62809, 51907, 53507, 57924, 53459, 50859, 51979, 50821, 51099, 50821, 53519, 50894, 62679, 51137, 54345, 51740, 63105, 53192, 50821, 51978, 50821, 51144, 50821, 52709, 50894, 72862, 51137, 50910, 62493, 50386, 54945, 50799, 55235, 51012, 52172, 50911, 52326, 51097, 51303, 51097, 51327, 63085, 60365, 59772, 50857, 51132, 51472, 60211, 52054, 64039, 50900, 60365, 59772, 53111, 71871, 55235, 51362, 52172, 51226, 50900, 60365, 59772, 50857, 56889, 51118, 50839, 79082, 50900, 60365, 59772, 62156, 55701, 50430, 51476, 50838, 51303, 50838, 51249, 58753, 60365, 59772, 53111, 50907, 69374, 60365, 59772, 50857, 51132, 54312, 64176, 50438, 52326, 51535, 51303, 51535, 51327, 51535, 50900, 60365, 59772, 50857, 51132, 51204, 55032, 77025, 62464, 62821, 53065, 50907, 68121, 60365, 59772, 50857, 57491, 55235, 50821, 52172, 79065, 50839, 79082, 50900, 60365, 59772, 62156, 55701, 50454, 53459, 50858, 51979, 77738, 60365, 59772, 50857, 51416, 50897, 53673, 50458, 53192, 50859, 51978, 66728, 60365, 59772, 50857, 51910, 62064, 64176, 50799, 55235, 50806, 52172, 50806, 52303, 51097, 51465, 51097, 51651, 51097, 52109, 76371, 61381, 60334, 60982, 50857, 51416, 51291, 55032, 50418, 50916, 61381, 60334, 60982, 53111, 71871, 53459, 51541, 51979, 51362, 50916, 61381, 60334, 60982, 50857, 56889, 51089, 71867, 50863, 50916, 61381, 60334, 60982, 62156, 55701, 50430, 51465, 50838, 51231, 50838, 51414, 50838, 51327, 62215, 61381, 60334, 60982, 53111, 76969, 50916, 61381, 60334, 60982, 50857, 51416, 53530, 64176, 50438, 52303, 51535, 51465, 51535, 51651, 51535, 52109, 51535, 50916, 61381, 60334, 60982, 50857, 51416, 50983, 55032, 50442, 50916, 61077, 61752, 62141, 53065, 74955, 50916, 61381, 60334, 60982, 50857, 57491, 55235, 50821, 52172, 50859, 51089, 71867, 50863, 50916, 61381, 60334, 60982, 62156, 55701, 50454, 56816, 50821, 52380, 73623, 61381, 60334, 60982, 50857, 55301, 50901, 53673, 50458, 56816, 50894, 52380, 50882, 50916, 61381, 60334, 60982, 50857, 52993, 62064, 64176, 50799, 63858, 50923, 52833, 50806, 52326, 51097, 51303, 51097, 51327, 63085, 60365, 59772, 50857, 51132, 50983, 52506, 60232, 50900, 60365, 59772, 53111, 71871, 56816, 51237, 52380, 53751, 50304, 60365, 59772, 50857, 56889, 51118, 50839, 79082, 50900, 60365, 59772, 62156, 53365, 50430, 51476, 50838, 51303, 50838, 51249, 58753, 60365, 59772, 53111, 50907, 69374, 60365, 59772, 50857, 51132, 53530, 64176, 50438, 63858, 50893, 52833, 50806, 52326, 51535, 51303, 51535, 51327, 51535, 50900, 60365, 59772, 50857, 51132, 51003, 55032, 77025, 62464, 62821, 53065, 74955, 56816, 50821, 52380, 66728, 60365, 59772 ]
[ 0, 250, 15352, 30054, 8, 20425, 5175, 2125, 19, 15855, 16882, 6, 4246, 10, 13602, 6757, 8, 13305, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 4, 20, 33215, 16739, 1171, 230, 73, 495, 6, 272, 6, 230, 119, 1176, 406, 6, 211, 119, 406, 6, 8, 230, 401, 6, 8216, 7, 63, 13363, 28191, 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 ]	[ 57211, 50417, 51144, 53066, 51099, 58861, 51119, 52654, 51308, 55730, 51099, 52658, 51119, 54112, 51144, 52729, 51153, 56532, 57533, 53743, 51435, 50845, 57457, 55118, 59410, 53140, 51489, 50813, 55745, 76960, 51275, 55726, 63885, 57457, 53820, 51435, 50845, 59410, 54846, 57533, 50822, 50799, 51516, 50810, 55561, 50959, 50417, 51153, 53066, 71499, 58899, 61544, 51489, 52654, 51435, 55730, 51275, 52658, 51489, 54112, 51153, 52729, 51516, 56532, 55561, 53743, 51837, 50845, 54476, 55118, 54676, 53140, 51948, 50813, 53952, 76960, 51578, 55726, 51948, 50810, 54476, 53820, 51837, 50845, 54676, 54846, 55561, 50822, 50799, 71837, 53952, 50959, 50417, 52353, 53066, 51837, 50810, 54676, 67724, 51948, 52654, 71837, 53952, 76978, 51837, 52658, 51948, 50810, 53205, 66804, 52353, 52729, 51837, 50810, 53256, 50959, 50441, 51948, 53103, 71837, 55561, 76791, 51516, 52843, 51435, 50810, 54476, 50959, 50453, 51578, 52863, 51516, 50810, 54676, 67419, 51948, 50810, 50799, 71837, 53952, 50959, 50417, 51516, 53066, 51435, 50810, 59410, 67724, 51489, 52654, 71499, 55654, 76978, 51435, 52658, 63885, 55561, 66804, 51516, 52729, 51435, 50810, 54476, 50959, 50441, 51489, 53103, 71499, 54676, 76791, 51153, 52843, 51429, 50810, 53952, 51419, 50453, 51275, 52863, 51153, 54678, 63885, 69378, 56624, 57457, 53728, 80062, 59410, 54252, 55654, 52921, 51435, 50813, 55561, 50959, 50428, 51489, 55863, 51435, 50845, 59410, 60675, 55654, 66804, 51516, 50810, 57457, 58450, 63885, 55561, 50959, 50441, 51275, 53103, 76012, 61947, 76791, 51429, 52843, 51119, 50810, 57533, 50959, 50453, 51153, 52863, 51429, 50810, 57457, 67419, 71499, 69296, 50810, 59410, 50959, 50417, 51489, 53066, 71499, 55654, 67724, 51435, 52654, 63885, 55561, 76978, 51516, 52658, 51435, 50810, 59410, 66804, 51578, 52729, 51516, 50810, 61947, 51412, 50441, 51489, 60964, 51435, 53524, 51516, 54803, 51837, 50810, 57533, 53140, 51489, 50813, 57457, 50959, 50452, 51435, 55726, 51489, 52863, 71499, 58148, 60864, 76012, 69296, 63118, 58899, 53066, 61018, 54347, 61947, 52654, 57533, 55730, 61018, 52658, 61947, 54112, 58899, 52729, 57457, 56532, 51153, 53103, 51275, 50845, 55561, 54803, 51489, 52843, 51435, 50810, 55654, 56366, 51275, 52863, 63885, 55561, 59097, 76012, 50799, 51429, 50845, 54476, 56624, 57457, 53066, 59410, 54347, 55654, 52654, 55561, 55730, 59410, 52658, 55654, 54112, 57457, 52729, 54476, 56532, 51275, 53103, 51489, 50845, 53205, 54803, 51435, 52843, 51516, 50810, 53952, 56366, 51489, 52863, 51435, 50810, 53205, 54678, 71499, 50799, 51489, 50845, 55561, 56624, 52892, 53066, 53799, 54347, 53256, 52654, 53205, 55730, 53799, 52658, 53256, 54112, 52892, 52729, 53799, 56532, 51516, 53103, 51435, 50810, 53256, 54803, 51489, 52843, 71499, 53799, 56366, 51435, 52863, 63885, 53205, 54678, 51516, 50810, 50799, 51435, 50845, 53256, 56624, 52451, 53066, 52892, 54347, 53799, 52654, 53256, 55730, 52892, 52658, 53799, 54112, 52451, 52729, 52892, 56532, 51578, 53103, 51516, 50810, 53799, 54803, 51435, 52843, 63885, 52892, 56366, 51516, 52863, 74828, 53256, 54678, 71837, 50799, 78597, 53799, 56624, 53603, 53066, 52070, 50878, 52451, 54347, 52892, 52654, 78597, 53799, 55730, 52451, 52658, 78276, 52892, 54112, 53603, 52729, 51948, 50878, 52451, 56532, 52892, 53103, 68182, 53799, 54803, 53256, 52843, 51489, 50878, 53205, 56366, 53799, 52863, 52070, 50878, 53256, 54678, 52892, 50810, 50799, 78597, 53799, 56624, 53256, 53066, 51429, 50878, 53205, 54347, 53952, 52654, 51777, 50878, 54676, 55730, 53205, 52658, 68182, 53952, 54112, 53256, 52729, 51489, 50878, 53205, 56532, 53952, 53103, 51435, 50878, 54676, 54803, 54476, 52843, 51516, 51134, 59088, 56366, 54676, 52863, 54476, 54678, 53952, 50810, 50799, 54676, 56624, 51119, 53066, 51429, 50810, 59410, 54347, 51777, 52654, 71499, 53205, 61822, 53952, 55863, 51429, 50810, 53205, 53387, 51777, 54112, 51119, 50810, 53256, 52729, 71837, 53952, 56532, 51516, 50810, 54676, 53103, 51435, 50810, 54476, 54803, 71837, 55561, 52843, 51516, 50810, 55654, 56366, 51435, 50810, 54476, 52863, 63885, 59088, 54678, 51516, 50810, 54676, 50810, 50799, 51435, 50810, 54476, 56624, 52353, 50810, 53952, 53066, 52929, 50810, 54676, 54347, 52778, 50810, 53205, 52654, 52353, 50845, 53952, 55730, 71837, 53256, 52658, 51948, 50810, 53205, 54112, 51516, 50810, 53799, 52729, 51777, 50810, 53256, 57366, 51948, 53103, 71837, 54476, 55118, 51516, 52843, 51435, 50813, 53256, 76960, 51516, 55726, 51435, 52863, 63885, 59410, 54846, 51275, 50813, 69378, 50810, 54476, 58172, 52353, 53066, 51837, 50810, 61018, 61544, 51948, 52654, 51578, 55730, 51837, 52658, 51948, 54112, 52353, 52729, 51837, 51452, 50441, 53256, 53743, 53205, 55118, 53952, 53140, 54676, 56936, 53205, 53820, 57537, 54846, 53256, 50822, 50799, 53205, 51803, 50417, 51578, 53066, 51948, 54347, 51837, 52654, 52353, 55730, 51948, 52658, 51837, 54112, 51578, 52729, 51948, 51452, 50441, 54476, 53743, 54676, 55118, 53952, 53140, 53205, 56936, 54676, 53820, 53952, 54846, 54476, 50822, 50799, 54676, 51803, 50417, 51837, 53066, 51948, 54347, 51578, 52654, 51516, 55730, 51948, 52658, 51578, 54112, 51837, 52729, 51948, 51452, 50441, 53205, 53743, 53952, 55118, 54676, 53140, 54476, 56936, 53952, 53820, 54676, 54846, 53205, 50822, 50799, 53952, 51803, 50417, 51516, 53066, 51578, 54347, 51948, 52654, 51837, 55730, 51578, 52658, 51948, 58952, 51516, 52729, 51578, 51452, 50441, 55561, 53743, 54476, 55118, 56676, 53140, 53952, 56936, 54476, 53820, 56676, 54846, 55561, 50822, 50799, 54476, 50959, 50417, 51435, 53066, 51516, 50845, 56676, 67724, 51578, 52654, 51948, 50810, 54476, 76978, 51516, 52658, 71837, 55561, 66804, 51435, 52729, 51516, 50810, 55745, 50959, 50441, 51578, 53103, 51948, 50810, 53205, 76791, 51837, 52843, 52353, 50810, 53952, 50959, 50453, 51948, 52863, 51837, 50810, 56676, 67419, 71837, 50799, 51948, 50810, 54476, 50959, 50417, 51837, 54644, 52353, 50810, 53799, 67724, 52778, 52654, 52709, 50810, 53256, 76978, 52353, 52658, 52778, 50810, 53205, 66804, 51837, 52729, 52709, 50810, 53256, 50959, 50441, 57457, 53743, 51837, 50810, 59410, 55118, 55745, 53140, 51578, 50813, 55561, 76960, 51948, 55726, 71837, 59410, 53820, 51516, 50810, 55745, 54846, 51435, 50810, 57457, 50822, 50799, 51435, 50810, 59410, 67943, 51639, 53066, 71499, 57533, 67724, 51153, 52654, 51308, 50810, 57457, 76978, 51275, 52658, 76012, 59410, 66804, 51639, 52729, 71499, 55745, 57366, 51489, 50854, 57457, 64300, 51435, 50942, 59410, 50955, 50448, 51119, 50925, 55745, 50955, 50452, 51099, 50925, 55561, 53586, 51435, 50897, 50460, 51308, 50897, 58899, 51203, 52177, 51489, 50938, 50421, 59860, 53651, 50422, 57533, 53651, 50423, 51119, 53363, 50424, 51153, 53363, 50425, 51435, 53363, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8728, 3495, 2214, 19, 10, 25306, 619, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 17465, 102, 6, 8, 3152, 6757, 6, 2351, 10, 19448, 5466, 1969, 13, 5, 2317, 191, 4, 8504, 11, 5, 762, 9, 211, 3694, 19, 10, 7212, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50899, 61026, 51455, 50290, 51151, 51050, 61739, 54644, 50871, 51714, 50902, 51714, 50931, 51714, 57025, 54975, 51026, 55247, 51050, 50915, 54868, 51151, 51027, 61861, 63142, 59374, 50845, 54569, 51714, 50989, 51714, 50876, 51714, 56759, 54975, 51027, 55247, 51026, 50915, 57497, 51151, 51027, 51151, 50989, 51151, 50426, 51028, 54975, 51147, 55247, 51114, 50915, 54578, 51455, 50292, 51047, 50906, 69791, 71115, 51047, 56440, 51115, 50906, 51115, 50876, 51714, 50438, 51360, 61432, 63142, 79004, 53999, 50956, 51115, 51085, 51115, 51027, 51115, 74228, 54578, 51455, 50290, 60006, 59374, 73787, 50915, 51914, 50838, 51515, 50974, 51773, 50974, 51669, 50974, 50415, 57117, 51097, 53369, 51097, 55961, 61026, 59374, 50845, 51914, 50838, 51515, 50974, 51773, 50974, 51669, 56307, 51234, 51619, 50297, 58134, 51047, 51914, 51080, 57117, 51097, 53369, 51097, 50427, 72421, 74655, 51515, 51244, 51773, 51244, 51669, 68116, 51234, 51619, 50297, 50915, 57117, 51097, 53369, 59124, 51234, 51619, 50297, 61861, 58134, 50915, 54609, 50932, 57117, 51097, 53369, 51097, 50451, 51614, 51097, 51515, 51097, 57126, 57069, 59374, 51455, 50294, 60045, 50915, 51914, 50838, 51944, 50974, 51440, 50974, 51669, 50974, 50415, 53722, 51097, 51774, 51097, 69724, 57069, 59374, 50845, 51914, 50838, 51944, 50974, 51440, 50974, 51669, 56307, 51120, 60045, 68369, 51047, 67663, 51914, 51080, 53722, 51097, 51774, 51097, 50427, 74655, 51944, 51244, 51440, 51244, 51669, 51244, 66240, 60045, 50915, 53722, 51097, 51774, 59124, 51120, 60045, 61861, 68369, 50915, 57804, 50932, 53722, 51097, 51774, 51097, 50451, 51614, 51097, 51944, 51097, 54578, 61739, 51619, 50299, 51047, 51086, 51047, 51914, 50932, 51515, 51097, 51669, 51097, 50415, 52769, 51244, 52745, 51244, 53645, 61739, 50915, 51914, 50932, 51515, 51097, 51669, 57937, 51214, 51047, 50861, 69928, 51619, 50303, 51047, 53088, 50932, 51434, 51097, 57848, 51244, 52745, 51244, 52603, 51097, 56415, 67430, 50915, 53144, 50932, 51515, 51097, 51808, 51097, 53997, 51047, 77839, 74655, 51914, 51080, 51660, 51244, 54437, 51244, 51669, 51244, 55902, 79004, 50845, 52557, 50974, 51434, 56307, 51027, 57069, 50845, 52806, 50974, 51440, 55544, 50906, 71115, 50845, 52769, 50974, 51773, 56298, 51050, 51047, 50956, 51047, 68275, 52301, 51080, 53369, 51244, 50439, 52027, 51244, 51607, 51244, 55513, 57069, 50845, 51774, 50974, 51440, 56697, 50997, 57348, 50845, 52557, 50974, 51434, 56711, 51027, 59198, 50845, 52806, 50974, 51515, 50974, 55435, 51047, 50899, 51422, 50871, 51422, 50906, 51422, 75248, 51859, 51172, 52557, 51244, 51614, 51939, 50415, 51515, 51939, 51773, 51939, 52327, 51534, 50423, 59856, 51914, 50827, 51669, 53881, 50931, 51047, 51859, 51080, 52327, 68116, 51234, 50915, 57117, 59124, 51120, 60045, 68369, 60006, 61739, 50915, 51914, 50932, 53722, 51097, 51774, 51097, 50451, 51944, 51097, 51773, 51097, 51669, 51097, 54955, 51047, 50899, 51151, 50877, 59258, 50915, 52301, 50932, 52769, 51244, 51614, 51445, 50415, 51440, 51097, 51607, 51097, 54439, 60006, 51047, 53503, 51080, 51434, 51097, 51773, 68116, 51214, 51047, 50989, 50915, 57848, 51244, 51944, 51097, 56415, 60006, 61739, 50915, 51914, 50932, 51515, 51097, 51773, 51097, 51669, 51097, 53997, 51047, 51026, 51047, 50906, 61527, 61352, 50845, 51676, 50838, 54437, 51244, 52769, 51244, 50415, 51773, 50974, 52043, 50974, 52257, 50974, 56440, 51115, 69640, 53455, 51283, 51660, 51477, 51434, 51477, 64574, 58421, 61739, 51619, 50298, 50915, 51914, 50932, 52027, 51097, 56194, 51097, 51440, 51097, 51669, 59124, 51050, 66715, 58421, 61739, 50915, 51914, 50932, 53369, 51097, 52027, 51097, 51440, 51097, 50451, 51669, 51097, 54662, 51619, 50297, 61861, 51047, 67137, 72421, 53503, 51080, 57117, 51097, 53369, 51097, 50415, 51614, 51244, 51515, 51244, 51773, 72599, 53492, 50915, 50656, 50278, 57937, 50956, 58421, 51047, 51028, 51047, 50931, 51047, 51859, 51080, 52027, 51097, 51440, 51244, 52361, 51244, 52327, 51244, 50450, 51050, 50915, 53369, 51097, 54662, 51619, 50297, 58134, 61026, 59374, 50845, 51914, 50838, 57117, 51097, 53369, 51097, 50415, 51515, 50974, 51773, 50974, 51669, 50974, 55961, 61026, 59374, 50845, 51914, 50838, 51515, 50974, 51773, 50974, 51669, 56307, 51234, 51619, 50297, 58134, 51047, 51914, 51080, 57117, 51097, 53369, 51097, 50427, 72421, 74655, 51515, 51244, 51773, 51244, 51669, 68116, 51234, 51619, 50297, 50915, 57117, 51097, 53369, 59124, 51234, 51619, 50297, 61861, 50915, 54609, 50932, 57117, 51097, 53369, 51097, 73867, 50915, 51614, 51097, 51515, 51097, 57126, 57069, 51455, 50294, 60045, 61739, 50845, 51914, 50838, 51944, 50974, 51440, 50974, 50415, 53722, 51097, 51774, 51097, 51669, 58879, 50989, 57069, 59374, 50845, 51914, 50838, 51944, 50974, 51440, 50974, 51669, 56307, 51120, 60045, 68369, 51047, 67663, 74655, 51914, 51080, 53722, 51097, 51774, 51097, 50427, 51944, 51244, 51440, 51244, 51669, 51244, 66240, 60045, 50915, 53722, 51097, 51774, 59124, 51120, 60045, 61861, 68369, 50915, 57804, 50932, 53722, 51097, 51774, 51097, 50451, 51614, 51097, 51944, 51097, 54955, 51047, 50871, 61739, 51619, 50303, 51047, 51914, 50932, 51515, 51097, 52769, 51244, 52745, 51244, 51669, 51097, 53645, 61739, 50915, 51914, 50932, 51515, 51097, 51669, 51097, 57267, 69928, 51619, 50287, 51047, 51086, 51047, 53088, 50932, 57848, 51244, 52745, 51244, 51434, 51097, 52603, 51097, 56415, 67430, 50915, 53144, 50932, 51515, 51097, 51808, 51097, 53997, 51047, 77839, 74655, 51914, 51080, 51660, 51244, 51669, 51244, 54437, 51244, 56363, 57348, 50845, 52557, 50974, 51434, 50974, 56207, 63663, 50845, 52806, 50974, 51440, 55544, 51026, 61026, 50845, 52769, 50974, 51773, 56298, 51050, 51047, 50956, 51047, 68275, 52301, 51080, 53369, 51244, 50439, 52027, 51244, 51607, 51244, 55513, 57069, 50845, 51774, 50974, 51440, 56697, 50997, 57348, 50845, 52557, 50974, 51434, 56711, 50871, 63663, 50845, 52806, 50974, 51515, 50974, 55435, 51047, 50899, 51422, 50871, 51422, 51859, 51172, 52557, 51244, 51614, 51939, 50415, 50906, 51422, 75248, 51515, 51939, 51773, 51939, 52327, 51534, 50423, 59856, 51914, 50827, 51669, 53881, 50931, 51047, 51859, 51080, 52327, 68116, 51234, 50915, 57117, 59124, 51120, 60045, 68369, 60006, 61739, 50915, 51914, 50932, 53722, 51097, 51774, 51097, 50451, 51944, 51097, 51773, 51097, 51669, 51097, 54955, 51047, 50899, 51151, 50877, 59258, 50915, 52301, 50932, 52769, 51244, 51614, 51445, 50415, 51440, 51097, 51607, 51097, 54439, 60006, 51047, 53503, 51080, 51434, 51097, 51773, 68116, 51214, 51047, 50989, 50915, 57848, 51244, 51944, 51097, 56415, 60006, 61739, 50915, 51914, 50932, 51515, 51097, 51773, 51097, 51669, 51097, 53997, 51047, 51026, 51047, 50906, 61527, 50845, 51676, 50838, 54437, 51244, 52769, 51244, 50415, 50951, 50845, 51773, 50974, 52043, 50974, 52257, 50974, 56440, 51115, 69640, 53455, 51283, 51660, 51477, 51434, 51477, 64574, 58421, 61739, 51619, 50298, 50915, 51914, 50932, 52027, 51097, 56194, 51097, 51440, 51097, 51669, 59124, 51050, 66715, 58421, 61739, 50915, 51914, 50932, 53369, 51097, 52027, 51097, 51440, 51097, 50451, 51669, 51097, 54662, 51422, 51050, 51151, 50899, 51151, 50871, 61026, 51151, 53503, 51243, 57117, 51939, 53369, 51445, 50415, 51614, 51445, 51515, 50974, 51773 ]
[ 0, 250, 5679, 26709, 15855, 2125, 4246, 41, 21979, 8669, 6, 38668, 2236, 6, 8, 17691, 28430, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 657, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 7212, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 381, 8, 163, 6, 2351, 10, 32625, 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, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 51317, 50967, 52012, 51091, 51316, 51091, 50417, 50998, 61766, 51078, 75826, 52012, 50967, 50947, 50967, 51316, 50967, 50429, 52012, 50967, 50998, 58443, 51316, 59067, 52866, 50967, 75005, 64966, 50998, 58647, 51292, 50967, 75005, 51091, 50456, 50998, 50967, 61894, 50967, 51067, 50967, 69896, 51091, 50417, 50998, 50967, 51292, 75826, 51788, 59204, 51078, 50967, 50429, 51067, 58443, 69896, 50830, 50998, 59067, 52012, 51091, 50441, 50998, 60482, 50998, 50967, 51316, 50967, 50447, 51067, 58647, 51078, 50967, 75005, 51091, 50453, 51316, 58760, 50998, 50967, 62954, 50967, 52012, 66128, 50998, 50967, 51316, 75826, 51316, 59204, 51078, 50967, 51067, 50967, 50429, 51316, 58443, 50998, 59067, 51131, 50967, 52012, 51091, 50441, 50998, 60482, 50998, 50967, 51316, 50967, 50447, 51067, 58647, 51078, 50967, 75005, 51091, 50453, 51316, 58760, 50998, 50967, 62954, 50967, 52012, 66128, 50998, 50967, 51316, 75826, 51078, 50967, 51067, 59204, 50998, 50967, 52355, 50967, 55425, 50967, 50429, 51316, 58443, 52012, 50967, 52355, 50830, 55425, 57907, 50998, 50967, 52355, 50830, 55425, 53402, 50998, 50967, 75005, 51091, 52926, 51091, 54426, 53218, 50998, 50967, 52866, 50967, 50447, 51292, 58647, 75005, 51091, 50456, 50998, 50967, 52866, 50967, 54246, 50830, 54426, 57814, 54246, 50830, 54426, 50830, 50799, 51078, 50967, 51067, 50967, 51444, 51091, 54219, 50967, 53452, 50967, 50417, 51078, 50967, 51292, 75826, 51788, 59204, 51078, 50967, 54219, 50967, 53452, 63395, 51067, 50967, 54219, 50967, 53452, 58443, 75005, 50967, 50435, 51316, 59067, 52012, 51091, 54246, 51091, 55425, 64966, 50998, 50967, 51316, 50967, 50447, 51067, 58647, 51078, 50967, 50453, 51316, 58760, 75005, 50967, 50998, 50967, 62954, 50967, 52012, 66128, 50998, 50967, 51316, 75826, 50998, 50967, 51067, 59204, 75005, 50967, 51078, 50967, 52549, 50967, 55425, 50967, 50429, 50998, 50967, 51316, 58443, 52012, 50967, 52285, 50967, 55425, 59067, 53092, 51091, 52285, 51036, 56085, 56027, 51311, 50967, 51076, 50967, 50447, 51316, 58647, 50960, 50967, 50453, 51078, 50967, 51067, 58760, 53092, 50967, 50459, 51786, 50967, 50799, 53092, 51091, 54776, 54994, 51311, 50967, 51076, 75826, 51316, 59204, 53092, 50967, 50960, 50967, 50429, 50998, 50967, 51067, 50967, 50435, 51292, 59067, 75005, 51091, 56335, 56027, 51311, 50967, 51076, 50967, 50447, 51067, 58647, 50960, 58760, 75005, 50967, 51078, 50967, 51786, 50967, 50799, 75005, 66128, 50998, 50967, 51076, 50967, 52824, 50967, 58550, 75826, 51067, 59204, 52824, 50967, 56654, 50967, 50429, 51076, 50967, 51786, 58443, 75005, 50967, 51900, 50967, 56335, 59067, 50947, 50967, 52012, 51091, 52549, 50807, 54776, 64966, 50947, 50967, 51316, 58647, 52549, 50967, 54776, 50967, 50453, 51169, 50967, 51067, 58760, 58999, 50967, 52824, 50967, 56335, 50967, 50459, 51316, 50967, 50799, 51078, 50967, 68643, 51091, 52355, 51091, 56654, 66128, 51078, 50967, 50947, 59204, 69896, 50967, 50429, 51317, 50967, 51316, 50967, 50435, 52028, 50967, 51786, 59067, 68643, 64966, 51078, 50967, 50947, 50967, 50447, 51078, 58647, 52355, 50967, 56654, 50967, 50453, 51078, 50967, 51076, 58760, 68643, 50967, 52824, 50967, 56654, 50967, 75961, 50967, 53805, 51091, 52549, 50967, 56335, 50967, 50417, 51846, 61766, 50970, 50967, 52549, 51091, 56335, 51091, 50423, 51316, 59204, 58999, 51091, 50429, 51076, 58443, 50970, 50967, 50435, 51438, 59067, 53805, 64966, 50970, 50967, 50970, 50967, 51316, 50967, 50447, 50970, 58647, 52549, 50967, 54776, 50967, 50453, 50970, 50967, 51076, 58760, 53805, 50967, 52824, 50967, 56335, 50967, 50799, 51078, 50967, 51444, 51091, 52355, 51091, 56654, 51091, 50417, 50960, 61766, 50947, 75826, 51316, 50967, 50429, 50947, 58443, 52012, 50967, 50960, 50967, 50435, 51788, 59067, 51444, 64966, 50960, 50967, 51076, 58647, 53805, 51091, 52355, 50967, 56654, 50967, 50453, 50998, 50967, 51316, 58760, 52824, 50967, 56335, 50967, 65309, 51091, 52549, 50967, 54776, 61766, 50947, 50967, 51788, 50967, 52285, 51036, 54776, 51358, 50429, 50947, 59067, 51316, 50967, 51788, 50967, 52012, 51091, 50447, 51076, 58647, 58999, 50967, 50453, 50947, 50967, 51316, 58760, 68643, 50967, 50799, 51169, 50967, 58999, 51091, 56335, 53561, 52866, 75826, 51292, 50967, 50429, 50947, 50967, 51786, 58443, 53092, 50967, 50435, 51292, 59067, 51076, 50967, 51574, 63419, 50998, 50967, 75005, 50807, 52549, 50967, 54776, 58760, 59241, 52824, 50967, 56335, 50967, 50799, 54432, 50967, 51317, 50967, 52355, 51091, 56654, 51091, 50417, 50947, 61766, 51076, 75826, 51316, 50967, 50429, 51317, 50967, 50947, 58443, 75005, 50967, 50435, 51786, 59067, 52012, 50967, 50998, 60482, 50947, 50830, 51786, 50830, 51317, 58647, 75005, 50967, 51574, 58760, 58999, 50967, 51846, 50967, 65309, 50967, 51131, 61766, 50998, 50967, 51788, 75826, 50947, 50967, 50429, 50998, 50967, 51788, 50967, 50435, 51078, 59067, 75005, 50967, 50998, 50967, 52866, 60482, 50998, 50967, 50447, 51078, 50967, 51786, 58647, 58999, 50967, 50453, 50998, 50967, 50459, 51292, 50967, 62954, 50967, 52012, 66128, 50998, 50967, 51316, 75826, 51316, 59204, 51078, 50967, 51067, 50967, 50429, 51316, 58443, 50998, 59067, 51131, 50967, 52012, 51091, 50441, 50998, 60482, 50998, 50967, 51316, 50967, 50447, 51067, 58647, 51078, 50967, 75005, 51091, 50453, 51316, 58760, 50998, 50967, 62954, 50967, 52012, 66128, 50998, 50967, 51316, 75826, 51078, 50967, 51067, 59204, 50998, 50967, 52355, 50967, 55425, 50967, 50429, 51316, 58443, 52012, 50967, 52355, 50830, 55425, 57907, 50998, 50967, 52355, 50830, 55425, 53402, 50998, 50967, 75005, 51091, 52926, 51091, 54426, 53218, 50998, 50967, 52866, 50967, 50447, 51292, 58647, 75005, 51091, 50456, 50998, 50967, 52866, 50967, 54246, 50830, 54426, 57814, 54246, 50830, 54426, 50830, 50799, 51078, 50967, 51067, 50967, 51444, 51091, 54219, 50967, 53452, 50967, 50417, 51078, 50967, 51292, 75826, 51788, 59204, 51078, 50967, 54219, 50967, 53452, 63395, 51067, 50967, 54219, 50967, 53452, 58443, 75005, 50967, 50435, 51316, 59067, 52012, 51091, 54246, 51091, 55425, 64966, 50998, 50967, 51316, 50967, 50447, 51067, 58647, 51078, 50967, 50453, 51316, 58760, 75005, 50967, 50998, 50967, 62954, 50967, 52012, 66128, 50998, 50967, 51316, 75826, 50998, 50967, 51067, 59204, 75005, 50967, 51078, 50967, 52549, 50967, 55425, 50967, 50429, 50998, 50967, 51316, 58443, 52012, 50967, 52285, 50967, 55425, 59067, 53092, 51091, 52285, 51036, 56085, 56027, 51311, 50967, 51076, 50967, 50447, 51316, 58647, 50960, 50967, 50453, 51078, 50967, 51067, 58760, 53092, 50967, 50459, 51786, 50967, 50799, 53092, 51091, 54776, 54994, 51311, 50967, 51076, 75826, 51316, 59204, 53092, 50967, 50960, 50967, 50429, 50998, 50967, 51067, 50967, 50435, 51292, 59067, 75005, 51091, 56335, 56027, 51311, 50967, 51076, 50967, 50447, 51067, 58647, 50960, 58760, 75005, 50967, 51078, 50967, 51786, 50967, 50799, 75005, 66128, 50998, 50967, 51076, 50967, 52824, 50967, 58550, 75826, 51067, 59204, 52824, 50967, 56654, 50967, 50429, 51076, 50967, 51786, 58443, 75005, 50967, 51900, 50967, 56335, 59067, 50947, 50967, 52012, 51091, 52549, 50807, 54776, 64966, 50947, 50967, 51316, 58647, 52549, 50967, 54776, 50967, 50453, 51169, 50967, 51067, 58760, 58999, 50967, 52824, 50967, 56335, 50967, 50459, 51316 ]
[ 0, 4688, 20425, 5175, 3836, 2214, 11, 12608, 3694, 6, 4246, 10, 11739, 9, 20642, 2323, 6, 38668, 18569, 6, 20535, 3315, 6, 36075, 29589, 6, 8, 23338, 33518, 1264, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 16, 3185, 30, 10, 16331, 33215, 16739, 9, 12608, 119, 6, 2060, 119, 6, 230, 10431, 6, 8, 274, 10431, 6, 2351, 10, 15352, 30054, 8, 33558, 5466, 14, 7630, 6568, 10, 1472, 9, 980, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 61627, 51325, 51016, 75881, 52382, 50706, 50324, 54527, 50798, 51095, 51190, 52526, 51481, 50443, 50843, 50941, 67746, 51365, 50449, 52470, 50454, 50843, 74884, 50843, 65019, 52470, 52478, 50843, 50971, 52399, 50864, 51510, 50864, 53764, 54854, 50843, 51022, 50434, 52558, 50440, 50843, 50941, 63262, 51365, 50445, 50852, 70570, 50843, 72587, 50843, 50851, 51453, 50864, 55986, 50971, 53440, 50864, 51039, 50864, 59915, 77045, 50843, 51022, 50431, 51325, 51091, 75881, 51336, 50706, 50324, 74903, 51194, 51190, 52526, 51642, 50436, 50843, 50941, 50439, 50843, 50984, 50442, 52470, 59341, 54939, 50843, 50851, 51647, 59972, 50843, 65540, 60393, 51809, 52470, 62074, 63366, 50843, 51022, 50427, 52558, 50433, 50843, 71259, 50843, 56006, 50852, 50864, 54032, 50941, 67746, 70936, 52470, 50455, 50843, 62298, 60393, 50460, 52470, 52478, 50843, 73122, 50843, 51022, 50424, 51325, 51016, 75881, 51661, 50706, 50324, 54805, 71781, 59734, 52526, 51481, 51694, 54889, 50816, 50368, 51163, 55286, 50816, 64930, 51365, 57177, 50984, 52470, 62434, 50907, 50440, 50816, 57821, 69869, 50816, 61551, 50851, 56594, 50912, 52470, 50448, 65552, 50451, 50816, 56661, 50971, 64119, 57729, 63652, 50816, 50827, 52470, 56875, 50827, 56703, 56395, 62399, 50816, 56395, 57711, 50816, 50874, 52558, 50423, 50816, 50874, 51694, 56395, 50941, 63261, 55638, 51365, 50431, 50816, 56558, 50864, 57671, 61573, 50816, 55638, 50941, 50440, 50816, 55638, 50851, 57040, 50844, 52470, 50445, 50816, 63956, 50816, 56944, 50971, 51899, 56944, 50827, 54706, 51373, 54232, 50816, 50810, 53206, 55309, 50904, 56703, 55309, 51022, 50416, 51325, 51573, 75881, 51362, 50706, 50324, 66196, 71781, 79365, 52526, 51481, 50419, 50816, 50854, 63741, 59301, 64462, 50816, 59301, 51365, 63261, 50854, 52470, 72958, 60462, 50816, 56613, 50941, 57008, 56613, 70327, 50816, 50833, 52470, 57040, 54207, 50816, 54796, 58554, 50816, 55250, 50864, 51899, 51420, 50864, 59986, 64848, 50816, 54692, 50904, 56032, 54692, 51022, 50461, 50798, 58473, 51582, 50867, 51809, 50816, 63814, 50816, 54692, 76247, 50816, 52154, 51365, 50424, 50798, 57321, 52227, 63726, 50816, 59545, 50816, 52154, 55286, 50816, 52154, 55270, 52613, 51106, 52189, 53945, 50816, 50859, 53525, 56593, 50971, 52129, 52634, 56593, 59763, 52855, 51106, 52153, 58914, 50816, 50890, 50452, 50798, 60332, 55509, 50904, 64119, 55509, 51022, 50457, 75881, 51941, 50706, 50324, 51585, 51511, 51991, 51569, 51161, 51781, 50859, 51780, 50858, 52652, 50833, 50746, 50300, 51353, 60948, 52121, 60516, 52069, 65050, 51692, 50798, 51003, 51190, 52526, 51363, 50460, 51325, 53435, 51781, 50835, 51780, 50829, 52652, 50863, 51601, 52527, 50974, 51781, 50828, 51780, 50828, 52652, 53816, 71045, 51781, 50857, 51780, 50810, 52652, 57729, 77686, 52527, 50901, 52470, 50423, 76031, 79115, 52652, 52992, 52527, 50901, 80008, 52652, 58272, 61660, 51781, 50839, 51780, 50841, 52652, 53944, 54150, 52527, 50845, 80008, 52652, 52748, 59816, 76031, 79115, 52652, 57320, 52527, 50987, 80008, 52652, 58272, 76428, 51781, 50886, 51780, 50867, 52652, 61551, 61285, 52840, 50977, 51781, 50846, 51780, 50846, 52652, 51437, 59763, 80008, 52652, 63078, 52527, 50866, 76031, 79115, 52652, 53434, 72584, 51781, 50904, 51780, 50864, 52652, 60349, 51128, 50454, 52678, 51141, 51228, 52392, 51885, 51945, 51511, 51894, 51781, 50882, 52459, 50833, 52395, 50800, 50746, 50293, 51353, 59060, 51945, 65445, 55428, 52558, 50456, 51781, 50820, 52459, 50863, 52395, 54603, 51781, 50884, 52459, 50834, 52395, 53846, 50941, 50799, 51781, 50833, 52459, 50827, 52395, 56944, 51365, 50417, 50852, 54202, 51781, 50961, 52459, 50839, 52395, 56493, 51971, 50892, 51781, 50863, 52459, 50928, 52395, 58810, 64462, 51781, 50846, 52459, 50829, 52395, 53434, 50851, 50428, 51971, 51417, 51781, 50863, 52459, 50928, 52395, 52465, 61924, 51781, 50961, 52459, 50839, 52395, 56859, 51781, 50863, 52459, 50928, 52395, 58810, 67009, 51781, 50813, 52459, 50941, 52395, 57323, 66090, 51781, 50895, 52459, 50820, 52395, 51187, 64524, 51781, 50863, 52459, 50928, 52395, 59892, 51781, 50961, 52459, 50839, 52395, 50818, 58065, 50358, 51163, 66185, 51781, 50886, 52459, 50971, 52395, 58043, 55814, 51213, 51605, 51473, 51945, 51511, 50863, 51548, 51538, 51659, 50859, 51543, 50890, 52459, 50855, 50746, 50298, 51714, 64906, 52151, 60608, 52222, 52558, 50453, 51659, 50835, 51543, 50829, 52459, 53555, 52840, 50845, 51659, 50828, 51543, 50828, 52459, 53816, 66585, 51659, 50844, 51543, 50810, 52459, 57729, 51365, 50461, 52840, 50901, 52470, 51809, 51659, 50818, 79006, 52459, 63180, 52840, 50892, 51659, 50891, 51543, 50870, 52459, 58272, 68684, 51659, 50839, 51543, 50841, 52459, 53944, 71203, 52840, 50845, 51659, 50891, 51543, 50870, 52459, 52748, 63726, 51659, 50818, 79006, 52459, 58331, 52840, 50892, 51659, 50891, 51543, 50870, 52459, 58272, 71588, 51659, 50886, 51543, 50867, 52459, 61551, 61284, 52280, 50845, 51659, 50846, 68989, 52459, 51437, 53945, 51659, 50891, 51543, 50870, 52459, 60895, 54598, 51006, 51659, 50818, 79006, 52459, 53434, 55368, 51659, 50904, 51543, 50864, 52459, 60349, 65932, 51971, 51191, 51205, 52392, 51778, 52069, 51473, 51894, 51659, 50882, 51780, 50833, 52652, 50800, 50746, 50291, 51353, 64906, 51939, 60516, 55428, 65050, 51945, 71950, 51659, 50820, 51780, 50863, 52652, 67099, 51659, 50884, 51780, 50834, 52652, 53846, 68935, 51659, 50833, 51780, 50827, 52652, 56944, 51365, 60651, 62495, 51659, 50961, 51780, 50839, 52652, 50818, 51601, 52527, 50901, 51659, 50863, 51780, 50928, 52652, 58810, 71045, 51659, 50846, 51780, 50829, 52652, 53434, 68483, 52527, 51413, 51659, 50863, 51780, 50928, 52652, 52465, 60039, 51659, 50961, 51780, 50839, 52652, 52437, 51659, 50863, 51780, 50928, 52652, 58810, 61036, 51659, 50813, 51780, 50941, 52652, 57323, 52739, 51659, 50895, 51780, 50820, 52652, 51187, 55643, 51659, 50863, 51780, 50928, 52652, 53115, 51659, 50961, 51780, 50839, 52652, 52141, 69506, 50843, 51022, 50443, 51019, 51894, 51278, 51894, 51329, 51991, 51781, 50859, 51780, 50890, 52395, 50855, 50746, 50296, 51359, 59060, 52069, 60948, 55277, 52558, 50446, 51781, 50835, 51780, 50829, 52395, 57989, 52721, 50866, 51781, 50828, 51780, 50828, 52395, 53816, 78127, 51781, 50857, 51780, 65513, 55681, 50984, 50454, 52721, 50866, 52470, 50457, 76031, 79115, 52395, 61994, 52721, 50845, 80008, 52395, 58272, 50941, 50799, 51781, 50839, 51780, 50841, 52395, 53944, 59010, 52721, 50905, 80008, 52395, 52748, 54202, 76031, 79115, 52395, 54446, 52721, 50901, 80008, 52395, 58272, 54689, 51781, 50886, 51780, 50867, 52395, 61551, 50827, 50428, 52280, 50845, 51781, 50846, 51780, 50846, 52395, 51437, 61924, 80008, 52395, 63633, 52721, 50901, 76031, 79115, 52395, 53434, 63123, 51781, 50904, 51780, 50864, 52395, 60349, 51022, 50440, 52527, 51091, 51228, 51605, 51885, 51945, 51278, 50825, 51511, 51894, 51781, 50882, 52459, 50833, 52395, 50800, 50746, 50293, 52071, 59060, 52069, 65445, 51353, 52558, 50442, 51781, 50820, 52459, 50863, 52395, 60822, 51781, 50884, 52459, 50834, 52395, 53846, 71487, 51781, 50855, 52459, 50864, 52395, 56129, 51365, 50451, 50852, 62564, 51781, 50961, 52459, 50839, 52395, 52349, 52840, 50937, 51781, 50863, 52459, 50928, 52395, 58810, 58182, 51781 ]
[ 0, 713, 20425, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 22750, 1626, 11098, 8, 8593, 26358, 149, 63, 15352, 30054, 15229, 4, 25837, 2987, 30, 10, 2247, 4069, 9, 81, 9756, 8, 2382, 3459, 29589, 6, 36075, 8669, 6, 3459, 9590, 6, 8, 21072, 6, 24, 11498, 10, 1769, 20889, 9, 10529, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 274, 538, 6, 5, 2125, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 230, 6, 163, 428, 6, 274, 6, 230, 6, 8, 163, 428, 6, 1271, 7, 63, 17627, 17274, 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 ]	[ 56236, 50920, 60461, 50920, 56856, 50920, 52762, 50920, 52766, 50920, 50829, 60859, 52565, 50903, 50818, 60859, 50818, 51768, 52565, 50903, 57000, 53583, 50834, 51382, 50884, 52354, 55198, 51347, 52903, 51497, 53454, 51323, 53454, 51222, 52045, 51143, 52045, 51344, 52045, 51118, 54300, 51061, 52903, 51023, 52903, 52531, 51367, 51239, 57369, 51931, 74327, 56987, 51931, 51450, 51392, 56877, 53583, 50834, 51382, 51179, 56995, 51931, 51528, 51392, 57369, 53583, 50834, 74327, 56987, 63709, 63046, 51245, 50901, 51839, 50849, 52856, 50849, 51521, 51060, 51348, 51111, 51569, 51111, 51020, 50849, 51193, 50879, 51546, 50879, 53583, 56877, 69053, 51245, 50987, 51839, 50977, 52856, 50987, 51521, 50938, 51348, 50917, 51569, 50977, 51020, 78350, 50917, 51546, 50977, 53583, 50834, 51382, 51179, 56995, 51186, 51655, 51497, 52071, 51839, 51894, 51478, 52069, 51611, 51991, 51222, 51991, 51348, 51605, 51061, 52069, 51193, 52392, 51185, 51894, 51931, 51528, 51392, 57369, 51931, 74327, 56987, 51931, 51450, 51392, 50817, 55258, 57000, 61754, 72646, 51382, 51179, 56995, 51105, 51021, 51245, 50917, 51839, 50917, 52856, 50917, 51521, 50948, 51348, 50865, 51569, 50938, 51020, 50924, 51193, 50924, 51546, 50924, 53583, 52885, 50846, 56020, 51186, 52500, 51839, 51692, 51497, 52069, 51478, 52069, 51611, 51538, 51222, 51538, 51348, 51941, 51061, 51894, 51193, 51486, 51185, 51894, 52531, 51367, 51239, 52676, 50804, 50884, 55258, 50884, 53526, 50884, 51382, 50884, 55350, 60427, 51105, 58063, 54739, 51031, 52354, 55198, 51347, 52903, 51497, 53454, 51323, 53454, 51222, 54484, 51143, 52045, 51344, 53090, 51118, 54300, 51061, 52903, 51023, 52903, 52531, 51367, 51239, 57369, 51931, 74327, 56987, 51931, 51450, 51392, 56877, 53583, 50834, 51382, 51179, 56995, 51931, 51528, 51392, 57369, 53583, 50834, 74327, 56987, 63709, 51105, 50923, 51245, 50901, 51839, 50849, 52856, 50849, 57379, 51348, 51060, 51569, 51111, 51020, 50849, 51193, 50879, 51546, 50879, 53583, 56877, 51105, 51021, 51245, 50987, 51839, 50977, 52856, 50987, 51521, 50977, 51348, 50917, 51569, 50917, 51020, 78350, 50917, 51546, 50977, 53583, 50834, 51382, 51179, 56995, 51096, 53435, 51497, 52071, 51839, 51894, 51478, 52069, 51611, 51991, 51222, 51605, 51348, 51605, 51061, 52069, 51193, 52392, 51185, 51894, 51931, 51528, 51392, 57369, 53583, 50834, 74327, 56987, 51931, 51450, 51392, 56877, 53583, 50834, 51382, 51179, 56995, 51105, 51021, 51245, 50917, 51839, 50917, 52856, 50917, 57379, 51348, 50938, 51569, 50938, 51020, 50924, 51193, 50924, 51546, 50924, 53583, 52885, 50846, 56020, 51186, 52369, 51839, 51692, 51497, 52069, 51478, 52069, 51611, 51538, 51222, 51161, 51348, 51161, 51061, 51894, 51193, 51486, 51185, 51894, 52531, 51367, 51239, 52676, 50804, 75224, 57000, 50798, 51031, 51382, 75224, 56637, 51105, 58396, 51031, 52354, 50896, 51323, 50917, 51593, 50917, 51497, 50849, 51222, 50918, 51143, 51356, 51061, 50879, 51023, 50924, 51092, 50924, 53583, 57369, 53583, 52928, 51323, 50917, 51593, 50917, 51497, 63566, 50806, 51023, 50924, 51092, 50924, 54001, 56987, 69124, 63709, 51105, 50896, 51856, 50977, 51245, 50917, 51839, 50849, 51521, 51291, 51348, 51343, 51341, 50917, 51020, 50924, 51193, 50879, 53583, 56877, 51245, 50901, 51839, 50901, 52856, 77447, 50849, 51193, 50849, 51546, 50879, 53583, 50834, 51382, 51179, 56995, 51186, 51388, 51497, 50901, 51839, 50795, 79429, 51222, 51091, 51348, 51091, 51061, 50849, 51193, 50806, 51185, 50879, 51931, 51528, 51392, 57369, 51186, 51021, 51497, 50864, 51839, 50844, 51478, 50851, 51061, 50857, 74116, 51185, 53835, 51392, 52928, 61954, 51245, 50917, 51839, 50987, 52856, 50901, 51348, 51111, 51020, 50924, 51193, 50977, 51546, 53888, 51179, 56973, 51222, 51111, 50434, 51222, 50836, 51348, 50854, 63709, 51105, 51192, 51497, 50977, 51478, 50977, 51839, 50901, 51222, 51111, 51348, 51100, 51061, 50917, 51193, 50849, 51185, 50917, 53583, 56877, 51105, 50933, 51222, 50854, 51348, 52972, 51392, 53057, 58337, 51245, 50849, 51839, 50849, 52856, 50849, 51222, 51346, 51348, 51157, 68865, 51193, 50879, 51546, 66993, 56995, 51583, 50955, 51856, 50955, 51557, 50942, 51341, 50942, 51931, 52354, 50896, 51497, 50892, 66710, 51593, 50849, 51222, 51077, 51143, 51356, 51061, 50901, 51023, 50879, 72036, 53583, 57369, 53583, 52928, 51497, 50901, 66710, 51593, 50849, 51061, 74224, 50879, 51092, 66993, 56987, 69124, 63709, 51105, 50896, 51856, 50849, 51245, 50849, 51839, 50901, 51521, 51446, 51348, 50983, 51341, 50879, 68865, 51193, 50849, 53583, 56877, 51245, 50901, 51839, 50901, 52856, 50901, 51020, 50849, 51193, 50849, 51546, 50849, 53583, 50834, 51382, 51179, 56995, 51186, 51388, 51497, 51100, 51839, 51110, 51478, 51110, 51222, 51204, 51348, 51091, 51061, 51158, 51193, 51215, 51185, 51215, 51931, 51528, 51392, 57369, 51186, 51021, 53583, 52928, 61954, 51245, 50917, 51839, 50917, 52856, 50917, 51222, 51111, 51348, 51060, 51020, 50924, 51193, 50924, 51546, 50924, 54001, 56987, 51222, 50812, 51348, 50854, 63709, 51105, 51192, 51497, 50917, 51478, 50865, 51839, 50901, 51222, 51100, 51348, 51100, 51061, 50924, 51193, 50849, 51185, 50936, 53583, 56877, 51105, 50933, 51222, 50854, 51348, 51747, 51392, 53057, 58337, 51839, 50917, 51245, 50849, 52856, 50901, 51222, 51124, 51348, 51346, 68865, 51193, 50924, 51546, 53888, 51179, 56995, 51931, 52354, 50896, 51323, 50917, 51593, 50917, 51497, 50849, 51222, 50918, 51143, 51356, 51061, 50879, 51023, 50924, 51092, 50924, 53583, 57369, 53583, 52928, 51323, 50917, 51593, 50917, 51497, 63566, 50806, 51023, 50924, 51092, 50924, 54001, 56987, 69124, 63709, 51105, 50896, 51856, 50977, 51245, 50917, 51839, 50849, 51521, 51291, 51348, 51343, 51341, 50917, 51020, 50924, 51193, 50879, 53583, 56877, 51245, 50901, 51839, 50901, 52856, 77447, 50849, 51193, 50849, 51546, 50879, 53583, 50834, 51382, 51179, 56995, 51186, 51388, 51497, 50901, 51839, 50795, 79429, 51222, 51091, 51348, 51091, 51061, 50849, 51193, 50806, 51185, 50879, 51931, 51528, 51392, 57369, 51186, 51021, 51497, 50864, 51839, 50844, 51478, 50851, 51061, 50857, 74116, 51185, 53835, 51392, 52928, 61954, 51245, 50917, 51839, 50987, 52856, 50901, 51348, 51111, 51020, 50924, 51193, 50977, 51546, 53888, 51179, 56973, 51222, 51111, 50434, 51222, 50836, 51348, 50854, 63709, 51105, 51192, 51497, 50977, 51478, 50977, 51839, 50901, 51222, 51111, 51348, 51100, 51061, 50917, 51193, 50849, 51185, 50917, 53583, 56877, 51105, 50933, 51222, 50854, 51348, 52972, 51392, 53057, 58337, 51245, 50849, 51839, 50849, 52856, 50849, 51222, 51346, 51348, 51157, 68865, 51193, 50879, 51546, 66993, 56995, 51583, 50955, 51856, 50955, 51557, 50942, 51341, 50942, 51931, 52354, 50896, 51497, 50892, 66710, 51593, 50849, 51222, 51077, 51143, 51356, 51061, 50901, 51023, 50879, 72036, 53583, 57369, 53583, 52928, 51497, 50901, 66710, 51593, 50849, 51061, 74224, 50879, 51092, 66993, 56987, 69124, 63709, 51105, 50896, 51856, 50849, 51245, 50849, 51839, 50901, 51521, 51446, 51348, 50983, 51341, 50879, 68865, 51193, 50849, 53583, 56877, 51245, 50901, 51839, 50901, 52856, 50901, 51020, 50849, 51193, 50849, 51546, 50849, 53583, 50834, 51382, 51179, 56995, 51186, 51014, 51497, 51100, 51839, 51110, 51478, 51110, 51222, 51204, 51348, 51091, 51061, 51158 ]
[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 23758, 3938, 20889, 6, 4246, 2382, 3459, 8669, 6, 3459, 9590, 6, 21072, 6, 8, 12577, 81, 9756, 8669, 4, 8504, 11, 83, 3694, 8, 204, 73, 306, 86, 6, 24, 29769, 198, 10, 33215, 16739, 9, 211, 6, 83, 6, 1918, 406, 6, 2351, 10, 3366, 219, 8, 15352, 30054, 3618, 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 ]	[ 57530, 51621, 50887, 50796, 51510, 74862, 50887, 51618, 56046, 51401, 51692, 51368, 51692, 51848, 53841, 53972, 57506, 50811, 52177, 51282, 50901, 51265, 50901, 51848, 53841, 51779, 52302, 50804, 56076, 51083, 51351, 51195, 51351, 51068, 55880, 50820, 51302, 54821, 61660, 51282, 51003, 51265, 58379, 52954, 54860, 52473, 51790, 51990, 51562, 51068, 55880, 50886, 52594, 53418, 51068, 55880, 63231, 51282, 51255, 51265, 51003, 51848, 53841, 52279, 57388, 52986, 50804, 52954, 54914, 51083, 51003, 51195, 51003, 51068, 55880, 50857, 51382, 59345, 51297, 50453, 51282, 51003, 51265, 53966, 55880, 54232, 53212, 51342, 61545, 51616, 51655, 51425, 51655, 51848, 53841, 52279, 55880, 50864, 55669, 55578, 66981, 68363, 51223, 52406, 50564, 53841, 52279, 55880, 54819, 51083, 51945, 51195, 51945, 50804, 57462, 58116, 51068, 55880, 53901, 51282, 51933, 51265, 51933, 50804, 57462, 50971, 54321, 52954, 60838, 51118, 51896, 51223, 51896, 51068, 55880, 50886, 52594, 55395, 51068, 55864, 59138, 51848, 53841, 52279, 63115, 50928, 54141, 52954, 56197, 51068, 58724, 50857, 51382, 55864, 60554, 51068, 52954, 54232, 51068, 55880, 57187, 51401, 51655, 51368, 51655, 51848, 53841, 52279, 55864, 50886, 55669, 59345, 66981, 51595, 50833, 51545, 53376, 50564, 53841, 52279, 55880, 54213, 51083, 51894, 51195, 51894, 53212, 51342, 53991, 51068, 55864, 53383, 51282, 52282, 51265, 52282, 50804, 57462, 50904, 54321, 52954, 56693, 51595, 51358, 51545, 51358, 51068, 58724, 50857, 52594, 59266, 51068, 55880, 58545, 51848, 53841, 52279, 63115, 53027, 50804, 59751, 58554, 51068, 55864, 50857, 51382, 70160, 50941, 53061, 55880, 51000, 56871, 70160, 61545, 52473, 51353, 51990, 51353, 51848, 53841, 52279, 55880, 50886, 55669, 59345, 51297, 50417, 51282, 51255, 51265, 51255, 51848, 53841, 52279, 55880, 58333, 51083, 51112, 51195, 59702, 55442, 56295, 51068, 52954, 53383, 51282, 51692, 51265, 52069, 50804, 59345, 59399, 53212, 51398, 60838, 51083, 52282, 51195, 52282, 51068, 55880, 50904, 52594, 57388, 61389, 51068, 55880, 59356, 51848, 53841, 51779, 57462, 53027, 50804, 52954, 57091, 51068, 55880, 50855, 51382, 70160, 58759, 51068, 52954, 53268, 51068, 55880, 57187, 51401, 51692, 51271, 54217, 51368, 51692, 51848, 53841, 52279, 50388, 52054, 55101, 50904, 55669, 57462, 56127, 51282, 50901, 51265, 50378, 53635, 53841, 51779, 55880, 51258, 55207, 70160, 54477, 51083, 51351, 51195, 51351, 51068, 55864, 50828, 51302, 57388, 54974, 51282, 51003, 51265, 58379, 55880, 53063, 50804, 55880, 56524, 52473, 51562, 51990, 51562, 50804, 55880, 53018, 53212, 51398, 57917, 51282, 51255, 51265, 51003, 51848, 53841, 52279, 52954, 53384, 53212, 51398, 57091, 51083, 51003, 51195, 51003, 51068, 55880, 50862, 51382, 70160, 60554, 51282, 51003, 51265, 53966, 55880, 54232, 50804, 55880, 56551, 51616, 51655, 51425, 51655, 51848, 53841, 54736, 55880, 50863, 55669, 57388, 51297, 50417, 68363, 51223, 52406, 50564, 53841, 52279, 55880, 52944, 51083, 51945, 51195, 51945, 50804, 55880, 57559, 51068, 55880, 53935, 51282, 51933, 51265, 51933, 50804, 50952, 51070, 63369, 51070, 53998, 51118, 51896, 51223, 51896, 51068, 57503, 50864, 52594, 59345, 52896, 51068, 55880, 63780, 51848, 53841, 52279, 63115, 54758, 53212, 50922, 66701, 51133, 53972, 55880, 53938, 51011, 51812, 70160, 61096, 57416, 51068, 52954, 55735, 50945, 53972, 58724, 57187, 51401, 51655, 50953, 50817, 51368, 51655, 51848, 53841, 56701, 63115, 50867, 52354, 51812, 59345, 62716, 51595, 50833, 50927, 51184, 51545, 53376, 50564, 53841, 52279, 55880, 53738, 51083, 51894, 51195, 51894, 50804, 55880, 56295, 51068, 55880, 54156, 51282, 52266, 51265, 52266, 50804, 59345, 56789, 53212, 50922, 60838, 51595, 51358, 51545, 51358, 51068, 55880, 50886, 52594, 59345, 52896, 51068, 55880, 59356, 51848, 53841, 51779, 63115, 53594, 53212, 50922, 57291, 51068, 58724, 50857, 51382, 70160, 50904, 53061, 52954, 53137, 51068, 55864, 54529, 52473, 52122, 61262, 52737, 51990, 52122, 51848, 53841, 52279, 55880, 50834, 55669, 70160, 66981, 51282, 51255, 51265, 51255, 51848, 53841, 52279, 70160, 52944, 51083, 51112, 51195, 59702, 52954, 56295, 51068, 55880, 52524, 51282, 55428, 51265, 55428, 50804, 70160, 50857, 54321, 52954, 52417, 51848, 54047, 52954, 56579, 51763, 56082, 51083, 53363, 51482, 56082, 51195, 53363, 50801, 54736, 65006, 55880, 55079, 51769, 50859, 52177, 51068, 58295, 55133, 64553, 50823, 57707, 50823, 50767, 50292, 50823, 50767, 50287, 50887, 50767, 50289, 50384, 53221, 58129, 51068, 58295, 53785, 57707, 50817, 64553, 50949, 50767, 50292, 50817, 50767, 50287, 67196, 54773, 64553, 50823, 50767, 50292, 50823, 57707, 50823, 50767, 50287, 51045, 51289, 51238, 50444, 51068, 58295, 53851, 64553, 50860, 50767, 50292, 50860, 50767, 50287, 51138, 57707, 50823, 65888, 56327, 77986, 59682, 51525, 59806, 52193, 51443, 69306, 59366, 57521, 51401, 51692, 55952, 51368, 51692, 51848, 53841, 52279, 57639, 53104, 50588, 55880, 50828, 55669, 52954, 51051, 50417, 51282, 50901, 55952, 51265, 50378, 53635, 53841, 52279, 53213, 53212, 50922, 55470, 51083, 51351, 50927, 50817, 51195, 51351, 51068, 55880, 50857, 51302, 63115, 56789, 51282, 51003, 57951, 51265, 58379, 52954, 53705, 50927, 51300, 51068, 55880, 57869, 52473, 51562, 51990, 51562, 50804, 57462, 54431, 51068, 55880, 61173, 51282, 51255, 51265, 51003, 51848, 53841, 56701, 57388, 55434, 53212, 50922, 63491, 51083, 51003, 51195, 51003, 51068, 55880, 50857, 51382, 70160, 70596, 51282, 51003, 51265, 53966, 55880, 54232, 51443, 51812, 55864, 61545, 51616, 51655, 50927, 66394, 51655, 51848, 53841, 56606, 55880, 50857, 55669, 59345, 76705, 51118, 58791, 50803, 51223, 52406, 50564, 53841, 52279, 55880, 55772, 51083, 51945, 51195, 51945, 50804, 71193, 56295, 50927, 51928, 55864, 52524, 51282, 51933, 51265, 51933, 53212, 51398, 61036, 50964, 51779, 70160, 53998, 51118, 51896, 50927, 51009, 51223, 51896, 51068, 55880, 50941, 52594, 63115, 52600, 51068, 55880, 65246, 51848, 53841, 52279, 70160, 52986, 50804, 52954, 70853, 51068, 55880, 71572, 70160, 70185, 51068, 52954, 55370, 53344, 53972, 55880, 61736, 51401, 51655, 78807, 51368, 51655, 51848, 53841, 52279, 55864, 50857, 55669, 57462, 70261, 51595, 50833, 78807, 51545, 53376, 50564, 53841, 51779, 70160, 53023, 51083, 51894, 51195, 51894, 50804, 71193, 58116, 51443, 51928, 55864, 53901, 51282, 52266, 51265, 52266, 50804, 61452, 51524, 50429, 52936, 51779, 52030, 51595, 51358, 51443, 51300, 51545, 51358, 51068, 58724, 50941, 52594, 54349, 54431, 51068, 55880, 61173, 51848, 53841, 51779, 57462, 50857, 54141, 59751, 57298, 51068, 55880, 50855, 51382, 70160, 50864, 53061, 56821, 54199, 52936, 53972, 55880, 56551, 52473, 51353, 61262, 50802, 51990, 51353, 51848, 53841, 51779, 55880, 50813, 55669, 55880, 62399, 51282, 51255, 61262, 50802, 51265, 51255, 51848, 53841, 51779, 59345, 54878, 51083, 51112, 51195, 59702, 52954, 57559, 61262, 51928, 55864, 54156, 51282, 51692, 51265, 52069, 50804, 70160, 56789, 52936, 51779, 52954, 54215, 51763, 51790, 51083, 51692, 61262, 50817, 50927, 51407, 51482, 51790, 51195, 51692, 51068, 55880, 50864, 52594, 59345, 53894, 51068, 55880, 57917, 51848, 53841, 51779, 63115, 50855, 54141, 52954, 57291, 51068, 55624, 50857, 51382, 55880, 57186, 51068, 52954, 52881 ]
[ 0, 250, 765, 8, 33928, 5175, 3495, 37903, 6, 4246, 41, 3459, 9590, 6, 21072, 6, 10170, 1499, 6, 3459, 8669, 6, 8, 21040, 2426, 6, 70, 447, 561, 7, 1045, 10, 33558, 8, 20425, 6711, 6, 19, 10, 7212, 20889, 9, 12730, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 6, 278, 11, 5, 762, 9, 274, 538, 6, 8, 21437, 10, 33215, 13931, 9, 230, 401, 6, 211, 6, 272, 6, 274, 6, 8, 381, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50415, 51704, 53734, 70146, 50943, 50421, 52241, 54984, 74083, 51507, 53734, 56956, 72263, 50914, 50433, 52607, 55879, 66326, 51632, 53734, 58630, 50807, 50445, 53749, 54250, 60720, 51598, 54780, 53305, 68760, 50940, 50457, 53973, 54984, 50924, 51601, 51704, 54273, 55859, 50940, 50421, 52241, 56189, 61156, 52237, 51575, 62567, 53305, 50807, 50433, 52576, 56189, 79610, 51785, 54273, 63325, 50921, 50445, 51875, 54250, 60720, 53723, 52420, 70305, 70504, 50921, 50457, 51598, 56189, 50938, 51601, 51507, 54273, 63677, 51033, 50421, 52607, 56189, 74083, 51632, 54581, 70504, 70146, 50807, 50433, 53749, 54984, 66326, 51860, 54065, 67242, 51048, 50445, 53621, 54984, 60720, 51507, 55855, 52496, 63325, 51014, 50457, 52607, 54250, 50938, 51601, 51507, 56795, 63677, 50940, 50421, 52607, 54984, 74083, 51860, 56795, 63325, 62567, 51157, 50433, 53621, 54250, 61187, 51632, 54273, 55859, 50940, 50445, 53749, 54984, 60720, 51875, 54780, 53305, 68760, 51033, 50457, 54224, 54984, 50849, 51601, 51704, 56702, 63677, 50921, 50421, 51262, 50930, 51659, 51998, 52241, 56189, 50805, 50424, 51262, 64855, 53723, 54780, 52959, 58768, 51048, 50430, 51262, 62725, 51598, 56189, 79610, 51704, 56702, 63677, 51033, 50445, 51436, 50840, 52241, 54984, 60720, 51195, 50833, 51704, 54581, 70504, 58630, 51157, 50454, 51262, 76336, 52241, 56189, 50873, 50460, 51262, 50930, 51601, 68216, 51704, 56702, 59961, 51033, 50418, 51262, 70038, 51250, 50855, 52241, 54250, 50805, 50424, 51262, 60329, 51632, 56702, 55560, 52959, 51014, 50433, 53749, 54984, 50879, 50436, 51262, 59360, 51507, 51575, 61468, 51159, 50442, 51262, 64684, 65033, 52607, 54250, 67070, 51262, 50808, 51704, 56795, 54881, 56764, 50807, 50454, 51250, 62037, 52241, 54984, 50795, 51601, 77589, 51507, 57169, 52959, 51014, 50418, 51195, 62906, 51195, 50854, 52607, 56189, 50805, 50424, 51195, 60329, 51860, 55020, 72263, 63325, 50952, 50433, 67250, 53621, 54984, 50795, 50436, 65033, 50439, 51632, 56795, 63325, 50940, 50442, 51195, 62885, 51223, 50808, 53749, 55121, 72065, 51195, 50849, 51875, 56702, 54881, 62567, 51159, 50457, 68216, 54224, 54984, 50865, 51601, 51195, 50880, 51873, 50967, 51666, 51095, 51531, 51095, 52498, 51095, 51507, 52964, 67242, 51073, 50421, 70909, 52607, 56189, 50879, 50424, 51195, 50880, 51873, 50889, 52498, 50914, 51531, 51191, 51666, 51013, 50427, 51507, 56795, 58668, 59348, 51014, 50430, 51195, 62725, 52607, 54250, 50879, 50436, 51195, 67166, 51507, 53734, 70146, 50889, 50442, 51195, 70577, 51195, 50840, 51873, 50924, 52498, 50795, 51531, 50879, 51666, 50849, 52607, 55879, 51626, 51021, 50451, 51507, 56795, 70504, 51033, 50454, 51195, 50930, 51666, 51110, 51873, 51178, 51531, 51095, 52498, 57439, 50975, 50457, 52607, 54250, 50865, 51601, 51262, 50810, 51704, 51575, 58630, 50914, 51206, 59720, 51262, 70038, 51262, 50833, 51994, 50967, 53342, 51095, 52498, 51110, 51988, 51095, 52241, 56189, 79818, 51262, 59953, 51507, 57169, 55560, 63677, 68418, 53342, 50836, 51988, 50812, 52498, 50809, 51994, 59093, 61470, 52607, 56189, 50805, 50436, 51262, 63539, 53342, 50967, 52498, 51095, 51994, 50967, 51988, 51215, 51632, 53734, 58630, 51048, 50442, 51262, 67356, 51195, 50808, 53749, 56189, 50849, 50448, 52498, 51091, 51994, 51191, 53342, 51204, 51988, 51091, 50451, 51262, 50805, 51598, 57169, 68760, 58063, 51157, 50457, 69924, 53973, 54984, 50917, 51601, 70598, 51704, 56795, 59348, 51033, 50418, 51262, 65643, 68216, 53342, 51110, 52498, 51110, 51994, 50967, 51988, 51215, 52241, 55879, 50805, 50424, 51262, 59953, 53723, 54273, 52959, 62567, 51048, 50430, 52498, 50887, 53342, 50809, 51994, 50840, 51988, 63937, 77394, 51598, 54250, 50873, 50436, 51262, 66905, 53342, 50967, 51994, 50967, 51988, 51095, 52498, 51095, 51704, 55855, 63677, 50940, 50442, 51262, 59070, 52241, 55121, 50795, 50448, 51988, 51191, 52498, 51294, 51994, 51204, 53342, 51191, 50451, 51262, 50809, 51704, 54780, 68760, 67242, 50889, 50454, 51262, 62474, 52241, 56189, 50805, 51601, 80158, 51507, 54273, 63325, 50940, 50418, 51195, 60392, 74598, 53653, 51110, 53342, 51095, 52498, 50967, 51873, 51095, 52607, 54984, 79818, 51195, 60329, 51704, 53734, 56764, 65221, 50914, 50430, 53653, 50809, 51873, 50808, 53342, 50855, 52498, 59093, 67250, 52241, 56189, 50879, 50436, 51195, 59360, 53342, 51095, 51873, 51095, 53653, 50967, 52498, 51095, 52237, 57169, 63677, 77561, 51195, 67356, 52576, 54984, 50795, 50448, 52498, 51241, 53653, 51204, 53342, 51091, 51873, 51091, 50451, 51195, 50808, 51785, 56795, 55859, 56764, 50889, 50454, 51195, 59697, 51875, 54984, 50805, 51601, 80158, 51507, 54065, 70146, 50914, 50418, 70909, 51666, 50809, 52498, 50809, 51873, 50887, 51531, 64729, 77589, 52607, 56189, 79818, 51195, 64502, 51873, 51110, 51666, 51110, 51531, 51110, 52498, 50967, 51507, 53734, 56956, 57130, 50889, 50433, 72650, 52607, 56034, 50879, 50436, 75493, 52498, 50807, 51531, 51204, 51873, 51294, 51666, 73125, 51507, 56795, 54881, 50940, 50442, 51195, 59070, 75493, 52607, 54984, 51626, 50936, 50451, 51195, 50805, 52498, 51095, 51666, 51095, 51531, 51110, 51873, 50967, 51507, 53734, 58630, 51157, 55350, 51354, 50457, 52607, 55206, 50938, 51601, 54990, 51151, 52758, 51313, 54990, 51293, 53141, 51151, 51262, 50833, 51704, 56702, 51048, 51206, 51044, 70333, 51262, 52938, 50962, 50421, 71059, 51988, 51095, 53342, 50967, 51994, 51095, 52498, 51110, 52241, 56189, 50879, 50424, 51262, 59749, 51507, 54273, 58006, 59961, 59965, 51994, 50809, 52498, 50887, 51988, 50809, 53342, 52217, 68487, 79641, 52607, 54984, 50849, 50436, 51262, 63025, 51994, 51095, 52498, 51178, 53342, 51095, 51988, 51110, 51632, 56795, 63325, 67760, 51262, 51582, 70378, 79526, 53749, 54250, 50849, 50448, 53342, 51204, 52498, 51204, 51988, 51091, 51994, 51204, 51553, 72634, 51262, 50938, 51598, 71967, 65398, 71441, 55859, 50890, 56403, 74717, 51250, 50857, 53973, 55121, 50865, 51289, 50948, 51601, 54990, 51359, 53141, 51151, 52758, 51293, 54990, 51353, 70598, 51704, 57169, 52959, 80042, 51262, 52938, 70086, 68216, 51994, 51110, 51988, 51178, 53342, 51095, 52498, 51095, 52241, 56189, 50849, 50424, 51195, 64502, 51632, 54065, 54452, 56946, 51073, 50430, 51988, 50836, 52498, 50836, 51994, 50836, 53342, 52217, 67725, 77589, 53749, 55121, 50805, 50436, 61470, 50439, 52498, 51215, 53342, 51215, 51988, 50967, 51994, 51095, 51507, 54065, 54452, 51048, 50442, 51436, 51373, 70577, 74598, 52607, 54984, 50805, 50448, 51994, 51091, 52498, 51204, 51988, 51294, 53342, 51191, 51553, 72634, 72650, 51704, 56795, 68760, 50386, 53120, 56155, 51157, 50454, 51262, 53340, 67758, 52241, 56189, 60020, 50936, 50460, 61470, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 3459, 9590, 6, 8, 326, 5638, 18026, 4, 20, 2125, 16, 11, 274, 538, 6, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 163, 428, 6, 230, 406, 6, 1918, 6, 211, 119, 6, 8, 272, 119, 3639, 7, 5, 2214, 18, 19448, 8, 1011, 625, 12, 3341, 5466, 6, 7630, 14805, 10, 25306, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 57333, 66079, 51544, 80022, 50818, 52320, 56904, 61090, 50890, 78415, 50882, 57333, 53038, 51103, 52576, 51091, 52021, 51312, 51164, 50981, 51037, 51097, 61542, 50872, 51148, 50939, 51328, 57339, 51041, 65597, 64008, 50867, 61090, 63630, 50939, 51677, 50422, 52112, 57389, 61823, 50700, 50345, 52122, 50426, 51198, 51116, 51144, 50924, 51308, 51290, 51164, 51742, 51037, 51448, 50848, 51677, 52021, 51397, 50791, 52893, 56516, 67454, 52576, 51239, 53669, 52995, 57514, 51876, 51127, 57016, 52950, 50629, 51632, 50983, 50872, 51080, 53026, 53584, 57000, 52021, 50827, 51762, 50449, 51037, 72380, 51308, 51048, 51198, 51095, 76011, 52021, 51337, 50856, 51833, 60427, 67454, 51164, 50810, 52021, 56439, 51464, 57243, 52021, 50995, 69130, 60187, 50880, 57389, 50940, 79921, 51077, 52343, 51091, 51037, 51097, 51751, 51097, 50847, 51199, 50939, 78145, 54376, 51239, 65597, 59613, 66089, 60187, 53932, 59470, 51060, 50422, 51842, 50425, 52021, 51199, 51037, 51242, 51751, 51109, 68279, 50847, 68428, 51099, 50865, 51561, 51124, 51308, 50991, 50939, 51203, 50856, 51406, 65109, 51037, 50941, 59800, 56080, 67767, 52343, 53345, 53390, 52223, 57667, 51332, 51108, 59449, 54014, 51144, 51194, 51153, 51121, 51119, 51121, 51876, 51191, 51632, 50918, 51164, 51253, 50946, 51253, 50885, 51627, 50872, 51749, 50850, 54874, 53390, 79516, 57016, 62738, 60072, 64300, 60187, 58638, 51956, 50449, 51144, 51233, 51119, 51194, 51153, 51194, 51164, 51411, 51332, 51534, 50946, 51411, 59470, 66070, 50850, 51363, 50791, 53498, 57735, 51876, 77930, 51895, 50919, 53735, 57335, 53038, 51486, 51164, 51330, 51037, 51097, 56103, 52237, 56378, 50981, 69427, 50939, 51277, 65986, 53390, 50895, 61090, 50930, 78415, 59722, 64008, 61158, 61090, 62846, 50939, 50959, 57389, 50937, 50422, 51144, 51108, 58139, 51308, 51417, 51275, 51562, 52021, 51312, 51164, 51253, 78889, 50848, 51145, 68100, 50939, 51422, 67178, 56748, 51876, 51003, 50434, 52237, 53243, 51406, 53237, 57413, 51164, 51535, 51037, 51097, 52021, 50981, 57016, 53116, 50628, 51144, 51178, 52576, 51112, 50872, 51627, 57339, 51187, 58655, 60187, 62236, 59613, 64661, 51956, 50449, 52021, 51203, 51037, 51480, 50852, 52396, 53038, 50866, 51308, 50917, 51198, 50897, 73647, 52237, 57172, 51480, 74870, 59449, 58305, 59800, 71929, 52261, 50457, 61891, 57450, 52343, 53433, 51916, 53617, 57335, 51332, 50987, 51164, 50866, 64178, 61395, 64803, 55845, 50917, 57333, 51876, 50925, 51144, 50897, 79408, 79305, 51632, 50897, 64646, 50791, 53498, 53669, 60170, 50801, 59095, 51154, 50932, 50425, 77456, 51164, 51097, 64583, 51743, 50981, 52430, 51400, 51883, 54869, 51978, 53379, 52785, 51013, 51280, 51121, 51144, 51060, 51119, 51095, 51632, 54891, 51047, 51332, 51244, 50850, 61035, 54694, 51978, 51998, 50434, 51632, 53097, 58855, 52402, 51003, 52137, 51377, 51638, 50932, 51088, 54498, 50628, 53366, 51159, 51561, 51177, 51099, 51043, 51308, 51194, 51598, 51060, 51164, 51109, 50946, 51253, 50885, 51477, 76064, 50856, 61312, 51598, 52423, 58501, 52430, 51043, 51299, 51806, 51113, 51709, 50450, 52537, 51346, 51144, 51194, 51119, 51124, 51153, 51255, 51875, 51060, 51332, 51233, 51164, 51101, 50946, 51212, 74649, 51743, 56923, 57430, 56478, 62371, 51875, 53097, 50828, 51050, 53106, 57333, 52228, 50879, 53038, 51127, 52576, 51091, 52021, 51806, 51164, 51312, 51037, 51449, 50848, 51244, 50939, 51148, 50872, 51080, 51165, 51449, 51107, 51243, 51154, 52829, 57372, 51135, 69147, 56612, 50420, 53628, 50917, 55429, 51004, 50997, 52254, 50425, 51164, 51253, 50426, 51144, 50974, 51308, 50845, 51275, 51305, 50290, 51047, 51718, 50919, 61251, 56478, 65053, 51275, 50978, 51144, 51006, 51308, 50959, 52576, 55744, 71073, 50841, 51050, 53106, 50437, 52228, 51554, 50297, 51244, 50848, 51244, 50872, 51244, 50939, 64488, 50628, 52785, 51749, 51632, 50983, 53552, 55942, 71415, 56612, 50445, 52394, 68785, 51842, 50900, 53106, 50449, 52228, 58460, 51308, 51101, 51275, 51212, 51144, 51328, 52021, 51056, 52574, 50919, 67232, 56612, 50453, 52608, 78767, 51978, 51116, 54820, 52748, 50891, 50956, 53106, 50461, 51395, 51748, 51093, 51748, 56103, 51964, 51562, 52241, 60798, 51244, 51164, 51199, 74435, 51332, 51422, 50979, 51148, 50909, 51310, 51113, 51449, 50856, 53704, 51239, 62296, 52722, 50422, 52008, 50425, 51164, 51145, 50850, 51939, 50426, 51144, 51058, 51119, 50942, 51639, 50937, 51153, 65056, 51916, 56748, 51639, 51058, 50909, 51419, 50434, 51144, 51142, 51119, 51008, 51153, 51008, 52241, 51187, 55401, 58694, 52785, 51417, 64583, 50979, 51749, 50438, 50628, 52608, 50936, 51632, 50807, 51895, 50919, 53790, 50841, 50956, 56612, 50444, 52228, 50977, 50446, 52008, 50899, 53106, 50448, 52394, 51095, 50449, 51332, 57554, 51119, 51203, 51639, 51255, 51144, 51309, 51153, 51363, 50885, 51775, 51164, 51412, 50909, 59384, 51179, 50884, 50900, 56612, 50456, 53628, 50925, 50457, 50909, 63321, 51632, 53406, 52748, 62010, 50841, 50997, 53106, 50460, 51107, 51671, 51165, 51243, 50461, 52228, 51060, 56103, 53038, 51417, 52237, 51091, 51164, 51253, 51037, 51314, 75548, 50872, 51199, 50939, 51253, 50856, 54405, 51044, 79836, 56612, 50420, 51978, 51358, 50422, 51471, 50871, 55044, 50425, 51164, 58187, 51144, 51006, 51308, 50866, 51275, 55257, 51939, 50872, 51080, 50939, 51183, 50856, 51044, 59871, 51275, 50987, 51144, 50905, 51308, 50866, 52237, 50828, 52021, 50941, 54958, 50985, 58414, 51164, 51448, 52021, 51749, 51037, 51445, 50438, 50629, 52785, 51562, 51632, 51091, 61693, 51467, 50825, 64008, 50836, 78415, 75018, 61090, 63178, 57389, 50857, 55894, 53421, 51144, 51194, 51308, 50967, 51275, 51178, 70177, 50939, 51267, 52574, 50919, 50883, 59800, 50925, 50453, 52228, 50937, 59613, 71820, 50899, 53106, 50456, 52394, 62474, 51632, 50812, 60187, 63321, 51164, 51679, 52021, 51080, 60274, 51129, 50900, 53106, 50461, 52228, 50910, 50848, 51448, 50872, 51535, 50939, 50915, 61891, 51470, 56103, 53038, 51203, 52237, 78576, 54285, 51187, 63279, 53106, 50416, 52394, 64754, 50900, 53106, 50420, 53628, 51241, 50422, 52008, 50997, 59125, 50425, 51164, 51480, 58389, 51056, 57406, 68106, 51144, 51110, 51308, 50991, 51275, 51158, 53038, 51048, 52237, 51048, 50939, 51255, 51165, 51097, 51107, 50932, 52315, 51775, 51596, 71782, 53498, 50895, 55703, 62010, 58855, 51164, 51242, 50885, 51423, 50872, 51423, 50992, 51534, 51093, 51108, 51375, 61417, 50629, 51964, 51112, 51561, 51060, 51512, 51111, 51153, 51100, 51704, 51048, 50909, 51221, 51332, 51212, 52161, 51576, 75275, 50841, 57312, 51194, 57751, 51203, 50439, 51752, 51709, 63743, 60402, 54958, 50985, 60794, 51596, 51333, 50449, 52176, 51346, 52021, 52034, 51164, 51411, 51037, 51412, 50848, 51412, 51165, 51576, 51107, 51172, 51606, 61637, 51144, 51101, 51275, 51100, 51308, 51177, 51507, 51048, 50992, 51412, 50939, 63238, 52893, 50846, 57406, 51110, 56737, 51110, 50458, 54958, 50985, 58660, 51978, 53106, 52746, 51343, 53755, 51036, 51395, 52829, 52161, 52916, 51565, 52431, 57333, 52343, 50983, 78889, 50979, 51244, 50939, 51749, 51298, 50981, 65704, 51751, 51312, 51165, 51243, 51088, 53142, 61664, 54405, 50818, 56770, 51377, 57751, 51203, 50422, 74467, 51978, 53379, 50426, 51099, 50845, 51308, 50805, 51639, 69964, 51148, 51751, 51562, 51298, 51177, 73303, 50856 ]

[ 0, 250, 19448, 3495, 2214, 11, 274, 10431, 538, 6, 4246, 10, 33215, 16739, 9, 230, 10431, 406, 6, 274, 10431, 119, 1176, 406, 6, 12608, 119, 6, 8, 2060, 406, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 15352, 30054, 15229, 7630, 6568, 6453, 9, 657, 8, 11926, 6, 442, 24, 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 ]

[ 54458, 50956, 53486, 50415, 51086, 53055, 50425, 50989, 53693, 50298, 58576, 50433, 51001, 54071, 50435, 51324, 78198, 50441, 50989, 58961, 51378, 52462, 50447, 51040, 51797, 50997, 62892, 50989, 51365, 50454, 51378, 51851, 50461, 50916, 51542, 51040, 52025, 55753, 50989, 51824, 50422, 51378, 51851, 50429, 51324, 57912, 50968, 51824, 50436, 50989, 52167, 50437, 51378, 52101, 50443, 50956, 52397, 50444, 51086, 55789, 50452, 50989, 54088, 51378, 52462, 50459, 51086, 50995, 50460, 51176, 60243, 52591, 50989, 56393, 50298, 54060, 50427, 50973, 59821, 50428, 51324, 70316, 50436, 51378, 52101, 50989, 51319, 50442, 51086, 52081, 50300, 51252, 50448, 51040, 52441, 50449, 50997, 52188, 50459, 50989, 55197, 51378, 54618, 53069, 50956, 53577, 64401, 59170, 50428, 50989, 54298, 51378, 52101, 50435, 51001, 55584, 50436, 51324, 52514, 50446, 51378, 50361, 50842, 50310, 58961, 51809, 51378, 50360, 50842, 50310, 53306, 50429, 50989, 51148, 50956, 64399, 50438, 50973, 58961, 51378, 52101, 50445, 51324, 61124, 51114, 51387, 50452, 51378, 51252, 50453, 50973, 67084, 51040, 52048, 50916, 51242, 52478, 51378, 54731, 50315, 51862, 50424, 50965, 51480, 50425, 50916, 70402, 51378, 51269, 50973, 70456, 51324, 54861, 50439, 51147, 51470, 50445, 50973, 52179, 50446, 51378, 55789, 50451, 50989, 51199, 50452, 50956, 54298, 50459, 50973, 52946, 50460, 51378, 51319, 53069, 51086, 57410, 51176, 54228, 50428, 51378, 77429, 50310, 53726, 50435, 51324, 59294, 50315, 51697, 50442, 51378, 51832, 50989, 51297, 50446, 51086, 52059, 51176, 52946, 50454, 51040, 53697, 50997, 51852, 51601, 50989, 52731, 50416, 51378, 52101, 50423, 50956, 55036, 50303, 52618, 50431, 51378, 51550, 50989, 54848, 50439, 51001, 68886, 51324, 53313, 50449, 50989, 61887, 50450, 51378, 63070, 52591, 51378, 59641, 50421, 50989, 69066, 50436, 50956, 54211, 50437, 50900, 54344, 50446, 50989, 58483, 50454, 51503, 55583, 50319, 55811, 50461, 51176, 51252, 50989, 51252, 53069, 50989, 52015, 50956, 52147, 79351, 51524, 50428, 51176, 52101, 50436, 51114, 52511, 50293, 52988, 50443, 50965, 51824, 50445, 51176, 52946, 50449, 50916, 51423, 50450, 51040, 53726, 50456, 50965, 51432, 50457, 51050, 60150, 51601, 50956, 52188, 50416, 51086, 52048, 50422, 50965, 52518, 50425, 51176, 54060, 50429, 51040, 51679, 50997, 51412, 50436, 50989, 52518, 50437, 51378, 51851, 50442, 51028, 52059, 51966, 60145, 51378, 51123, 50989, 52482, 50455, 50916, 51397, 51040, 52136, 50461, 50989, 51884, 59130, 51737, 50421, 50968, 52104, 50291, 54573, 50427, 50989, 51051, 50428, 51378, 70301, 50956, 52378, 50435, 51086, 51484, 50441, 50989, 52482, 51378, 52731, 50446, 51040, 51363, 79043, 51101, 50453, 51197, 65691, 50311, 52063, 50458, 51176, 53280, 51086, 51562, 52177, 50965, 52518, 50418, 51197, 52167, 50424, 51503, 63684, 50315, 53726, 50430, 50965, 53535, 50295, 51851, 50436, 51040, 51627, 50437, 51086, 53161, 50444, 50965, 53161, 51360, 53313, 50451, 51028, 54848, 50452, 51247, 54071, 50458, 51360, 53529, 50312, 51022, 51809, 51040, 51645, 50997, 54252, 51966, 53529, 50310, 52518, 50428, 50956, 52188, 51027, 51309, 50435, 51085, 51022, 51001, 70546, 51040, 51627, 50997, 51381, 50448, 51378, 63684, 50310, 51387, 50454, 51028, 51884, 50455, 51360, 54071, 50461, 50989, 52518, 51378, 51832, 53069, 51086, 52454, 50300, 56374, 53645, 54298, 51360, 51297, 50433, 51028, 72324, 51966, 54861, 50441, 50871, 53161, 51360, 55778, 50449, 51378, 60243, 50997, 51309, 50457, 50989, 56615, 50458, 51360, 55778, 53069, 51028, 59821, 50420, 51966, 51832, 50430, 50989, 52179, 50446, 50956, 51965, 50447, 51086, 59170, 50457, 51378, 54146, 50989, 55584, 52478, 51001, 58961, 51324, 63309, 50426, 51378, 63684, 50310, 54848, 50433, 51040, 51738, 50997, 51645, 50441, 50989, 53726, 50442, 51378, 51252, 50448, 50916, 51477, 51040, 54228, 50456, 50989, 51079, 50457, 51378, 51832, 51809, 50968, 71713, 51324, 55776, 50423, 50989, 51142, 50424, 51378, 51252, 50429, 50956, 51709, 50430, 51086, 52518, 50437, 50989, 55505, 50298, 52946, 50445, 51086, 51911, 50300, 54228, 50453, 50989, 53096, 51378, 52101, 50461, 51324, 61017, 50973, 55584, 56020, 51378, 54088, 50427, 51086, 52482, 51176, 51832, 50434, 51040, 54211, 50435, 50997, 51852, 50446, 50989, 54521, 51378, 55811, 50454, 50956, 53055, 50455, 51086, 56374, 51601, 50989, 54298, 50416, 51378, 54887, 50424, 51001, 58898, 51324, 60326, 50433, 50989, 61450, 50434, 51378, 65988, 50448, 50989, 77137, 51378, 52101, 50456, 50989, 51148, 50457, 50956, 54861, 52177, 51378, 65691, 50315, 58961, 50424, 51114, 54298, 50425, 51324, 62609, 50431, 50973, 52946, 50432, 51378, 54071, 59419, 51212, 51040, 54836, 50445, 50973, 52179, 50446, 51378, 51319, 50451, 50965, 51312, 50452, 50916, 51797, 50459, 50973, 54298, 51378, 51252, 52478, 51324, 54298, 51147, 58069, 51378, 53693, 50315, 51432, 50431, 50989, 51309, 64551, 52731, 50438, 50973, 51252, 50439, 51378, 51269, 50445, 51086, 51003, 50446, 51176, 52397, 50453, 51378, 53693, 50310, 52034, 50460, 51324, 60237, 50461, 50973, 53161, 52591, 51378, 52946, 50989, 52192, 50425, 51086, 57104, 51176, 60816, 51040, 77804, 52034, 50442, 50989, 53010, 51378, 54887, 62291, 52503, 51086, 53678, 50459, 50989, 52167, 51378, 51550, 52478, 51001, 61450, 50419, 51324, 58961, 50428, 50989, 63532, 51378, 54691, 50445, 50989, 51737, 50446, 51378, 55811, 50454, 50956, 51965, 50455, 50900, 52011, 52177, 50989, 54848, 50418, 51176, 51319, 50425, 51001, 55789, 51503, 57959, 51176, 51524, 50989, 51123, 50439, 50989, 51183, 50956, 52407, 50446, 50965, 51210, 50447, 51176, 55811, 50453, 51114, 51884, 51360, 53866, 50460, 50965, 51365, 50461, 51176, 54298, 52478, 50916, 51203, 50419, 51040, 53096, 50425, 50965, 65933, 51176, 52518, 50431, 50956, 51709, 51086, 51419, 50438, 50965, 51254, 50439, 51050, 51550, 50446, 51040, 51878, 79043, 51400, 50455, 50989, 51884, 50456, 51378, 51128, 62368, 52386, 50317, 52482, 69724, 51210, 50421, 51378, 51022, 50428, 50916, 51183, 51040, 51447, 50435, 50989, 51852, 50436, 51378, 54848, 50444, 50968, 51277, 51324, 55086, 50452, 50989, 53131, 50298, 51319, 50457, 50956, 51576, 50458, 51086, 52188, 52177, 50989, 52482, 50418, 51378, 52167, 50422, 51040, 51775, 50423, 50997, 51079, 79580, 51884, 51197, 52101, 50436, 51086, 51397, 51176, 56458, 50444, 51197, 53693, 50312, 52059, 50450, 51503, 53535, 50315, 52482, 50457, 50965, 51051, 51197, 51297, 51601, 51040, 51244, 50416, 51086, 51534, 50423, 50965, 51852, 50424, 51360, 51432, 50431, 51028, 53164, 50285, 54298, 50439, 51360, 52179, 50965, 51797, 68473, 52363, 50305, 51484, 50453, 50989, 51797, 50454, 51966, 62065, 50956, 51330, 50460, 51027, 51380, 52478, 51001, 51470, 50419, 51085, 52782, 61104, 51627, 50997, 51108, 50433, 50989, 51074, 50434, 51378, 52782, 50440, 51028, 52063, 51360, 52731, 50446, 51378, 65434, 50989, 51824, 50453, 51086, 52015, 51176, 52440, 50460, 51360, 53726, 50871, 53161, 55753, 51028, 54298, 50422, 51966, 55765, 50429, 51360, 53313, 74413, 53313, 62335, 51797, 51378, 63667, 50446, 50989, 54521, 51360, 53313, 50454, 51028, 74553, 50455, 51966, 51832, 52478, 50989, 69470, 50968, 51422, 52759, 57912, 50436, 51360, 53801, 51028, 55812, 50445, 50965, 53010, 50453, 50916, 52179, 50459, 61294, 52177, 51197 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 2933, 8, 980, 219, 5466, 6, 4246, 10, 6755, 12547, 6, 81, 9756, 8669, 6, 13305, 6, 8, 38668, 3038, 4, 20, 2125, 16, 11, 272, 3694, 6, 34, 10, 7212, 20889, 9, 727, 741, 1685, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 12608, 6, 163, 428, 6, 2060, 73, 717, 428, 6, 12608, 6, 8, 163, 428, 401, 3639, 7, 5, 2214, 18, 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 ]

[ 57528, 50450, 52696, 53379, 50796, 50443, 52696, 52254, 53400, 51717, 51733, 52337, 54398, 51801, 54318, 52121, 58407, 52337, 50752, 50308, 52829, 50752, 50311, 52337, 50752, 50315, 52829, 50799, 69575, 50917, 77032, 50917, 50417, 62527, 50904, 65387, 55772, 64495, 51000, 66652, 63521, 66076, 51432, 70778, 51432, 50429, 80215, 51212, 50743, 50327, 51212, 50435, 69575, 51277, 77032, 51277, 50441, 62527, 51128, 65387, 62232, 80215, 50959, 50743, 50327, 76791, 66076, 50972, 70778, 62892, 64495, 52378, 66652, 52378, 50799, 69575, 50925, 56326, 52222, 77032, 50925, 50417, 62527, 50904, 65387, 55772, 64495, 50907, 66652, 56237, 66076, 51079, 70778, 72373, 80215, 51212, 50743, 50327, 51212, 50435, 69575, 50845, 77032, 62532, 62527, 50864, 65387, 54394, 80215, 50874, 50743, 50327, 57904, 66076, 51074, 70778, 56989, 50752, 50308, 58643, 50752, 50311, 55482, 50752, 50315, 58643, 50453, 64495, 51576, 66652, 51576, 50456, 60588, 51328, 50799, 69575, 50854, 74706, 52151, 77032, 60685, 62527, 50907, 65387, 54964, 64495, 50886, 66652, 56037, 66076, 51074, 70778, 74448, 80215, 51277, 50743, 50327, 51277, 50435, 69575, 50845, 77032, 62532, 62527, 50941, 65387, 55434, 80215, 51008, 50743, 50327, 76173, 66076, 50972, 70778, 62892, 64495, 51852, 60060, 50878, 66652, 51852, 50457, 56326, 50892, 50799, 69575, 50878, 77032, 50878, 50415, 50725, 50339, 51422, 50417, 62527, 50907, 65387, 54964, 64495, 51022, 66652, 58910, 66076, 51432, 70778, 51432, 50429, 80215, 52063, 50743, 50327, 52063, 50435, 69575, 51637, 77032, 51637, 50438, 51456, 70988, 51553, 58040, 51456, 54840, 51224, 56518, 51326, 52725, 50927, 50943, 52089, 50915, 52123, 53651, 51224, 50385, 53823, 50809, 50752, 50310, 52441, 50752, 50306, 51108, 50752, 50313, 51333, 51323, 51048, 51409, 50807, 51823, 51112, 51478, 51048, 50453, 51224, 53875, 51326, 54625, 51289, 50809, 56142, 51191, 51107, 51293, 51854, 51358, 54308, 51677, 51335, 51135, 52259, 50890, 51478, 51692, 51263, 51518, 51188, 51422, 51746, 51692, 51245, 51692, 51402, 50864, 51039, 50862, 51510, 50864, 51694, 55316, 50836, 51532, 53998, 51443, 53351, 52217, 73746, 54728, 51443, 56001, 52675, 50855, 51572, 64524, 52294, 50865, 51180, 60886, 51622, 50917, 51618, 53996, 53344, 51003, 51854, 51121, 52089, 51391, 50816, 52217, 50855, 51969, 50914, 51323, 50915, 51823, 51411, 51478, 51312, 51647, 55735, 51288, 52972, 57328, 57023, 51211, 65110, 50813, 53400, 51191, 51266, 51353, 61558, 50857, 51580, 51486, 50415, 51854, 50859, 52041, 51662, 51555, 51592, 51404, 51692, 51245, 51422, 51746, 51662, 50417, 51288, 53330, 55650, 51211, 51623, 52385, 51510, 50904, 51694, 52675, 50855, 51532, 55487, 51019, 54200, 52217, 50813, 51556, 51126, 56903, 56001, 51421, 50862, 51572, 50886, 51180, 50857, 51618, 54939, 50927, 50914, 52089, 51097, 52123, 53233, 76538, 50809, 51409, 50943, 51823, 51411, 51323, 50981, 51478, 51411, 51647, 62564, 51854, 50865, 53462, 57328, 66660, 51622, 57814, 50852, 50862, 56142, 51091, 51107, 51151, 51622, 51896, 54308, 51662, 50791, 52259, 50890, 51245, 51486, 51263, 51538, 51478, 51692, 51746, 51662, 51402, 50864, 51039, 50862, 51510, 50864, 51694, 55316, 50836, 51532, 53998, 51443, 53630, 52217, 73746, 54728, 51443, 56001, 52675, 50855, 51572, 64524, 52294, 50865, 51180, 60886, 52375, 50865, 51618, 53996, 53344, 50943, 54338, 51121, 52089, 66772, 52217, 50855, 78612, 51323, 50915, 51823, 51363, 51478, 51312, 51647, 64461, 52874, 50925, 53462, 57328, 57023, 52375, 59553, 50813, 53400, 51204, 51266, 51422, 52041, 51662, 61558, 50857, 51746, 51422, 51580, 51161, 51404, 51692, 51245, 51518, 50415, 54338, 50865, 51555, 51677, 50417, 52874, 55690, 55650, 52375, 50889, 52385, 51510, 50904, 51694, 52675, 50855, 51532, 55487, 51019, 50862, 55652, 51896, 66936, 50813, 51556, 51126, 56903, 56001, 51421, 50862, 51572, 54758, 51456, 50930, 51715, 54936, 50880, 51618, 54939, 67361, 51107, 53753, 52089, 51330, 52123, 53588, 51230, 53823, 56409, 50809, 51323, 51003, 51823, 51255, 51409, 74493, 51043, 50453, 51224, 50840, 52470, 50456, 51326, 51421, 57023, 51289, 55206, 50862, 54206, 54834, 50861, 53520, 51026, 56300, 50973, 54153, 51443, 51091, 52174, 50890, 54308, 53486, 50798, 52633, 50384, 53692, 50840, 51746, 55277, 51245, 55428, 51188, 55277, 51263, 55277, 50417, 52174, 54996, 54202, 52174, 52873, 53467, 52174, 57158, 54317, 52174, 53988, 51421, 56338, 52174, 54996, 53998, 51443, 50841, 52174, 52923, 51559, 56788, 52174, 54845, 55108, 51443, 51446, 52174, 52259, 52873, 57108, 52174, 54845, 54758, 52174, 51559, 56112, 52174, 54796, 54105, 53079, 54593, 52304, 54139, 55013, 54796, 50886, 51453, 60135, 55013, 51538, 60506, 50809, 56142, 51204, 51718, 50990, 57780, 52792, 65316, 58333, 54932, 53065, 56076, 54932, 51376, 50843, 50904, 51544, 52467, 58967, 52792, 56661, 53998, 51443, 50840, 54932, 50864, 51441, 50990, 54350, 54932, 52407, 50843, 53980, 51443, 51141, 51782, 50990, 50862, 54268, 75639, 57012, 50843, 54185, 50861, 51235, 51026, 51345, 50916, 69797, 56946, 52207, 54139, 50843, 55293, 50964, 52873, 56132, 54387, 55702, 50840, 55331, 51359, 50861, 51264, 51026, 51264, 51220, 52337, 51443, 51191, 52174, 53690, 52633, 58767, 52174, 53800, 54202, 52174, 51559, 53467, 52174, 55250, 54317, 52174, 50840, 51782, 51071, 54056, 52174, 54996, 53998, 51443, 50840, 52174, 53618, 51559, 56788, 52174, 53846, 55108, 51443, 51077, 52174, 50836, 51782, 50990, 59397, 52174, 53434, 54758, 52174, 51467, 56112, 52174, 59301, 54105, 53079, 53661, 52304, 54139, 55013, 69319, 50886, 51453, 56132, 53079, 51111, 74502, 54852, 51933, 50876, 51945, 50968, 51605, 51027, 51655, 51069, 67400, 51559, 59196, 52174, 65316, 58333, 52751, 51675, 50791, 56076, 50843, 50904, 51544, 52467, 50890, 53764, 53998, 51069, 52259, 51559, 56788, 50843, 53980, 51069, 51204, 51782, 50990, 50862, 54268, 75639, 57012, 50843, 50867, 52320, 52467, 59994, 50916, 52154, 55293, 57002, 51069, 51582, 56132, 50973, 50952, 50964, 56768, 50840, 54960, 51591, 50877, 51538, 50916, 51518, 51027, 51307, 51069, 51191, 53079, 51421, 53690, 66802, 53079, 53800, 54202, 53079, 52873, 53467, 53079, 54996, 54317, 53079, 50855, 51782, 51071, 54056, 53079, 54996, 53998, 51069, 50836, 53079, 53303, 51559, 56788, 53079, 56129, 55108, 51069, 51077, 53079, 53630, 52873, 57108, 53079, 53846, 54758, 53079, 51467, 56112, 53079, 54845, 54105, 50877, 50991, 50876, 51377, 50968, 50889, 55013, 56776, 52304, 54139, 53512, 63342, 50886, 51453, 56132, 53512, 51894, 74502, 53975, 51264, 50916, 51353, 50861, 51655, 50876, 51307, 50964, 58747, 51559, 50862, 53440, 51000, 51039, 56076, 50843, 50904, 51544, 52467, 50890, 53764, 53998, 50964, 50836, 51441, 50990, 54350, 50843, 53980, 50964, 62288, 53340, 50840, 54268, 75639, 57012, 50843, 50867, 51382, 52207, 54139, 50843, 55293, 51443, 51582, 56132, 51019, 55702, 50840, 54206, 51264, 50989, 51264, 51120, 51353, 50877, 51307, 50927, 51204, 53079, 53579, 51559, 59196, 53079, 54119, 58333, 53079, 51467, 56076, 53079, 53434, 54317, 53079, 53111, 52467, 58967, 53079, 53434, 53998, 50927, 50862, 53079, 53835, 51559, 56788, 52174, 56613, 50886, 53758, 51077, 53079, 51406, 52411, 58037, 53079, 53833, 54394, 53079, 53330, 57012, 52174, 65316, 54185, 50902, 51013, 54133, 74741 ]

[ 0, 250, 20902, 3495, 13305, 2125, 11, 272, 3694, 6, 42, 765, 2214, 1931, 21683, 11098, 8, 1007, 4, 590, 10, 27841, 139, 20889, 8, 10, 316, 73, 398, 86, 6543, 6, 5, 33301, 25780, 81, 10, 19983, 33215, 16739, 9, 272, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 53261, 50646, 51085, 51422, 50916, 52121, 50451, 51085, 51312, 50463, 51214, 51312, 50474, 51085, 50981, 50486, 51085, 51677, 50522, 51085, 51312, 50534, 51214, 51312, 50546, 51085, 51312, 53261, 51197, 51422, 50871, 52121, 50451, 51197, 51312, 50463, 51234, 51312, 50474, 51197, 50981, 50486, 51197, 51677, 50522, 51197, 51312, 50534, 51234, 51312, 50546, 51197, 51312, 53261, 51085, 51422, 50916, 52121, 50451, 51085, 51312, 50463, 51214, 51312, 50474, 51085, 50981, 50486, 51085, 51677, 50522, 51085, 51312, 50534, 51214, 51312, 50546, 51085, 51312, 53261, 51197, 51422, 50871, 52121, 50451, 51197, 51312, 50463, 51234, 51312, 50474, 51197, 50981, 50486, 51197, 51677, 50522, 51197, 51312, 50534, 51234, 51312, 50546, 51197, 51312, 53261, 51085, 51422, 50916, 52644, 50876, 52121, 50451, 51085, 51312, 50463, 50900, 51312, 50474, 51026, 51312, 50486, 51085, 51677, 50861, 53082, 50522, 51085, 51312, 50534, 51026, 51312, 50546, 51085, 51312, 53261, 51197, 51422, 50871, 52644, 51001, 52644, 50451, 51197, 51312, 50463, 50997, 51312, 50474, 51197, 50981, 50486, 51197, 51677, 50906, 53082, 50522, 51197, 51312, 50902, 51233, 50531, 51001, 51233, 50534, 50997, 51312, 50540, 50902, 51233, 50546, 51197, 51312, 50549, 50906, 51363, 53261, 51085, 51422, 50916, 52644, 50876, 52121, 50451, 51085, 51312, 50463, 50900, 51312, 50474, 51026, 51312, 50486, 51085, 51677, 50861, 53082, 50522, 51085, 51312, 50534, 51026, 51312, 50546, 51085, 51312, 53261, 51197, 51422, 50871, 52644, 51001, 52644, 50451, 51197, 51312, 50463, 50997, 51312, 50474, 51197, 50981, 50486, 51197, 51677, 50906, 53082, 50522, 51197, 51312, 50902, 51233, 50531, 51001, 51233, 50534, 50997, 51312, 50540, 50902, 51233, 50546, 51197, 51312, 50549, 50906, 51363, 53261, 51085, 51422, 50916, 52644, 50876, 52121, 50451, 51085, 51312, 50463, 50900, 51312, 50474, 51026, 51312, 50486, 51085, 51677, 50861, 53082, 50522, 51085, 51312, 50534, 51026, 51312, 50546, 51085, 51312, 53261, 51197, 51422, 50871, 52644, 51001, 52644, 50451, 51197, 51312, 50463, 50997, 51312, 50474, 51197, 50981, 50486, 51197, 51677, 50906, 53082, 50522, 51197, 51312, 50902, 51233, 50531, 51001, 51233, 50534, 50997, 51312, 50540, 50902, 51233, 50546, 51197, 51312, 50549, 50906, 51363, 53261, 51085, 51422, 50916, 52121, 50876, 52121, 50451, 51026, 51312, 50463, 51085, 50981, 50474, 51085, 50981, 50486, 51085, 51677, 50522, 51026, 51312, 50534, 51085, 50981, 50546, 51085, 50981, 53261, 51085, 51422, 50871, 52644, 50876, 52121, 50451, 51026, 51312, 50463, 51085, 50981, 50474, 51085, 50981, 50486, 50646, 51085, 51677, 50861, 53082, 50495, 50646, 50505, 50646, 50514, 50646, 50522, 51026, 51312, 50524, 50646, 50533, 50645, 50534, 51085, 50981, 50543, 50645, 50546, 51085, 51312, 50552, 50645, 53261, 51247, 58134, 51717, 50931, 51717, 50420, 50646, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 50876, 51312, 50534, 50871, 51312, 50546, 50876, 51312, 53261, 51247, 60006, 52644, 51001, 52644, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50861, 53082, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 50902, 51233, 50531, 51001, 51233, 50540, 50902, 51233, 50549, 50906, 51363, 53261, 51247, 58134, 51717, 50931, 51717, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 50876, 51312, 50534, 50871, 51312, 50546, 50876, 51312, 53261, 51247, 60006, 52644, 51001, 52644, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50861, 53082, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 50902, 51233, 50531, 51001, 51233, 50540, 50902, 51233, 50549, 50906, 51363, 53261, 51247, 58134, 51717, 50931, 51717, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 50876, 51312, 50534, 50871, 51312, 50546, 50876, 51312, 53261, 51247, 60006, 52644, 51001, 52644, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50861, 53082, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 50902, 51233, 50531, 51001, 51233, 50540, 50902, 51233, 50549, 50906, 51363, 53261, 51247, 58421, 52337, 50876, 52122, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 53261, 51247, 60045, 52337, 50877, 52122, 50427, 51085, 51312, 50439, 51247, 50981, 50451, 51247, 51677, 50486, 51247, 51312, 50499, 51085, 51312, 50510, 51247, 50981, 50522, 51247, 51677, 53261, 51503, 51422, 50906, 51422, 50902, 52644, 50451, 51503, 51312, 50871, 51677, 50463, 51247, 51312, 50474, 51503, 50981, 50486, 51503, 51677, 50899, 53082, 50522, 51503, 51312, 50861, 51380, 50902, 51003, 50534, 51247, 51312, 50871, 51380, 50876, 51003, 50546, 51503, 51312, 50861, 51380, 50902, 51003, 53261, 51214, 51422, 50861, 51422, 51001, 52644, 50451, 51214, 51312, 50906, 51677, 50463, 52046, 51312, 50474, 51214, 50981, 50486, 51214, 51677, 50871, 51293, 50906, 51677, 50522, 51214, 51312, 50871, 51677, 50534, 52046, 51312, 50956, 51380, 50906, 51003, 50546, 51214, 51312, 50871, 63348, 51003, 53261, 51503, 51422, 50965, 51422, 50902, 52644, 50451, 51503, 51312, 50899, 51677, 50463, 51247, 51312, 50474, 51503, 50981, 50486, 51503, 51677, 50997, 51677, 50522, 51503, 51312, 50861, 51380, 50902, 51003, 50534, 51247, 51312, 50871, 51380, 50876, 51003, 50546, 51503, 51312, 50861, 51380, 50902, 51003, 53261, 51214, 51422, 50861, 51422, 51001, 52644, 50451, 51214, 51312, 50906, 51677, 50463, 52046, 51312, 50474, 51214, 50981, 50486, 50646, 51214, 51677, 50956, 53082, 50906, 51677, 50495, 50646, 50505, 50646, 50514, 50646, 50522, 51214, 51312, 50871, 51380, 50906, 51003, 50524, 50646, 50533, 50645, 50534, 52046, 51312, 50906, 51380, 51001, 51003, 50543, 50645, 50546, 51214, 51312, 50902, 51380, 50931, 51003, 50552, 50645, 53261, 51085, 51422, 50968, 52644, 50951, 52121, 50420, 50646, 50451, 51799, 51662, 50486, 51841, 51677, 50902, 53082, 50522, 51247, 51677, 53261, 51214, 51422, 50876, 52644, 50931, 52121, 50451, 51279, 51677, 50486, 51324, 51677, 50968, 53082, 50522, 51085, 51677, 53261, 51360, 51422, 50965, 51422, 50931, 52644, 50451, 51360, 51312, 50906, 51677, 50463, 51503, 51312, 50474, 51247, 51312, 50486, 50646, 52759, 51662, 51040, 51677, 50495, 50646, 50505, 50646, 50514, 50646, 50522, 51050, 51312, 51028, 51380, 51147, 51003, 50524, 50646, 50533, 50646, 50534, 51197, 51312, 70179, 50951, 51003, 50543, 50646, 50546, 51360, 51312, 50906, 51380, 50931, 51003, 50552, 50646, 53261, 50646, 51503, 51422, 50906, 52644, 50951, 52644, 50451, 51214, 51677, 50486, 51247, 51677, 50861, 51293, 51001, 51677, 50522, 52046, 51677, 50861, 51939, 51001, 51003, 50534, 50906, 51380, 50951, 51003, 50546, 51028, 51380, 51081, 51003, 53261, 51120, 51422, 50951, 52337, 51220, 52122, 50451, 51120, 51677, 50486, 51120, 51677, 50522, 51120, 51677, 53261, 51120, 78172, 52644, 51220, 52121, 50427, 51120, 77563, 51120, 80245, 51120, 50932 ]

[ 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, 2635, 6, 15352, 30054, 3495, 2214, 11, 274, 3694, 6, 4246, 10, 13305, 14, 1974, 149, 5, 40286, 9, 2060, 6, 272, 119, 6, 8, 274, 119, 406, 4, 590, 10, 20889, 9, 5549, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2125, 7630, 6568, 6453, 9, 657, 8, 11098, 6, 2905, 10686, 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 ]

[ 61791, 66301, 51333, 51512, 51333, 51153, 51333, 51876, 52147, 50420, 51153, 56307, 51435, 50905, 51144, 51466, 51512, 51466, 51153, 79542, 52381, 53913, 51516, 51203, 51561, 51330, 51308, 51330, 52746, 51703, 51099, 51447, 50447, 51435, 76015, 51561, 51333, 51308, 69173, 51639, 50892, 50799, 51435, 50901, 51512, 51330, 51777, 51330, 52785, 51748, 50420, 51435, 51097, 50423, 51847, 53220, 51144, 51333, 51512, 51333, 51777, 65461, 51144, 51333, 51512, 51333, 51777, 60779, 51561, 51330, 51099, 51333, 51512, 51330, 51153, 73786, 51153, 60977, 52785, 50984, 50799, 51777, 51255, 51144, 50932, 51512, 50932, 51308, 50932, 53038, 51671, 50423, 51435, 51255, 50426, 51847, 51330, 51512, 50932, 51308, 55665, 51639, 54112, 51435, 52729, 51512, 50974, 51847, 51330, 51308, 51097, 51639, 59242, 51144, 52985, 51435, 50901, 51847, 51330, 51308, 62214, 51153, 52071, 50459, 52746, 50912, 66301, 50932, 51512, 50932, 54733, 75856, 52746, 52688, 51280, 51314, 51099, 51314, 51512, 67608, 51512, 61637, 51308, 50845, 51869, 51412, 51706, 51412, 50456, 51153, 70634, 50623, 50459, 50623, 51964, 70568, 50623, 50799, 51512, 51134, 52785, 51677, 50417, 51964, 79604, 50623, 50420, 50623, 51876, 54347, 50623, 51280, 68521, 50623, 77718, 51144, 51097, 50429, 50623, 51153, 53513, 51435, 61761, 50624, 50434, 50624, 50435, 50624, 52381, 61055, 50624, 50438, 51516, 51141, 51847, 51244, 50441, 51561, 54653, 51099, 57904, 51308, 52989, 51099, 55371, 51308, 53581, 51435, 54678, 52477, 50827, 51639, 50822, 50799, 51435, 51452, 53646, 52151, 50417, 50624, 52477, 50874, 50418, 50624, 50420, 50623, 51561, 65369, 50623, 50422, 50623, 50423, 50623, 51144, 65553, 50623, 50425, 50623, 77718, 51512, 60092, 50623, 50428, 50623, 50429, 50623, 51777, 64756, 50623, 50432, 51435, 55270, 52381, 65598, 50623, 50438, 53629, 51961, 50456, 51964, 50892, 51639, 50873, 50799, 51435, 51116, 53038, 51148, 51777, 72442, 52477, 51310, 50423, 52381, 58938, 51847, 57648, 51837, 51646, 51948, 51189, 51964, 51047, 51639, 51047, 50441, 51869, 53783, 51198, 54803, 51561, 54276, 51099, 57622, 51308, 69960, 51516, 54421, 51435, 51790, 68407, 51391, 51876, 52071, 50417, 51280, 54711, 51144, 54252, 51099, 53881, 51308, 65005, 51099, 52739, 51512, 51314, 51153, 79882, 51435, 55125, 52381, 52961, 52746, 50892, 51948, 50795, 50799, 52381, 50845, 51837, 50795, 53646, 64691, 52929, 50805, 52477, 51675, 50426, 51837, 50805, 51144, 51148, 50432, 52381, 50854, 51153, 51680, 50435, 51948, 79954, 51435, 55441, 51876, 51534, 50454, 50623, 50455, 50623, 50456, 50623, 51435, 73363, 50623, 50458, 50623, 50459, 50623, 52477, 66211, 50623, 50461, 50623, 50799, 51837, 50805, 53646, 51293, 50415, 50623, 50416, 50623, 50417, 50623, 52477, 79604, 50623, 50419, 50623, 50420, 51561, 50822, 52929, 53471, 51144, 52654, 51837, 50795, 51153, 57173, 52381, 55098, 51948, 78583, 51308, 51108, 51153, 63236, 51435, 76630, 51308, 51330, 51153, 73786, 51837, 50873, 50799, 51948, 51562, 51964, 70762, 51869, 54335, 51198, 55544, 51561, 52015, 51308, 52015, 50438, 51948, 55322, 51516, 58705, 51516, 51221, 58637, 51313, 50417, 51435, 72250, 50623, 50420, 51869, 50844, 51639, 51397, 50421, 50623, 50422, 50623, 50423, 50623, 51198, 74298, 50623, 50425, 50623, 77718, 51561, 50844, 50428, 50623, 50429, 50623, 51099, 58779, 50623, 50431, 50623, 50432, 51308, 51803, 50444, 51435, 54230, 52381, 55345, 51948, 50849, 50799, 52381, 50845, 51837, 50795, 53038, 64691, 51876, 50845, 52929, 52483, 51280, 50901, 51837, 52605, 52381, 50808, 51847, 58952, 51948, 51255, 50438, 51512, 59242, 51435, 51221, 50447, 51280, 54004, 51512, 58667, 51435, 63007, 51280, 50822, 57528, 52929, 50839, 53038, 51359, 50415, 50623, 50416, 50622, 53629, 51124, 50418, 50622, 50419, 50622, 50420, 50622, 51876, 52069, 50423, 52929, 74592, 51847, 51518, 50432, 51837, 50795, 51512, 71161, 51948, 51116, 50447, 52381, 59323, 51512, 58667, 51837, 50893, 50799, 51948, 51472, 56686, 71785, 53646, 51945, 50426, 51706, 51692, 50432, 51308, 51675, 50438, 51948, 50805, 51435, 70268, 52381, 54230, 51948, 53702, 51837, 51623, 50461, 50622, 71803, 51127, 51435, 51047, 50416, 50622, 50419, 50622, 50420, 50622, 51876, 50901, 50421, 50622, 50422, 50622, 50424, 50622, 50426, 68365, 51153, 75725, 50622, 50429, 50622, 50431, 50622, 50432, 50622, 51099, 68233, 50622, 50434, 50622, 50435, 51706, 68522, 50622, 50438, 50622, 51232, 50795, 51153, 50914, 51964, 51189, 51489, 51127, 50439, 50622, 50442, 50622, 50443, 50622, 50444, 50622, 51099, 70083, 50622, 50446, 50622, 50447, 50622, 50448, 50621, 50449, 50621, 50450, 50621, 51706, 50981, 51153, 50889, 50451, 50621, 50452, 50621, 50453, 50621, 50454, 50621, 50456, 52381, 50808, 53038, 73363, 50621, 50458, 50621, 50459, 50621, 51948, 64333, 50622, 50461, 50622, 61791, 51153, 51221, 51837, 51238, 54733, 51127, 50415, 50622, 50416, 50623, 50417, 50623, 52746, 72250, 50623, 50419, 50623, 50420, 50623, 51706, 54588, 51280, 50849, 51777, 51124, 52929, 70397, 51512, 53308, 51639, 50849, 53629, 66454, 50623, 50435, 50623, 51280, 62903, 50624, 50437, 50624, 50438, 50623, 51516, 51241, 53629, 51091, 52746, 51127, 50441, 51706, 54207, 51144, 54672, 51099, 54276, 51308, 57622, 51639, 68429, 51948, 53848, 51837, 50808, 50799, 51435, 50849, 52929, 50879, 53038, 51103, 50417, 51876, 52871, 63884, 51639, 50849, 51837, 53471, 51847, 52710, 51777, 50849, 51948, 50805, 51512, 56217, 51639, 50873, 51837, 53470, 51153, 51003, 52381, 51241, 51876, 51295, 50441, 51280, 53103, 51144, 56888, 51099, 52848, 50623, 51512, 57465, 50623, 50452, 50623, 50453, 50624, 51153, 51124, 50455, 50624, 50456, 50623, 52381, 50812, 52746, 62355, 50623, 51516, 59342, 50623, 50799, 51435, 51235, 51512, 51241, 53646, 51127, 50417, 52477, 53066, 51561, 55797, 51144, 50800, 51516, 70397, 51308, 54259, 52381, 53505, 51153, 52729, 51512, 50943, 51639, 50914, 51964, 51127, 50441, 52477, 54207, 51280, 54672, 51561, 52741, 52381, 50795, 51512, 58705, 51837, 50795, 50799, 51948, 50914, 52176, 51183, 51435, 51183, 50417, 51706, 51835, 51144, 54080, 51308, 51204, 50426, 52381, 51736, 51948, 52262, 51837, 71378, 51516, 50889, 52533, 51141, 50441, 51280, 60459, 50623, 50444, 50623, 51099, 54672, 50623, 51153, 61841, 50623, 50450, 50623, 51516, 64620, 50623, 50453, 50623, 51153, 50991, 50455, 50623, 50456, 51964, 50808, 52381, 61963, 50623, 50459, 50623, 53038, 50808, 51948, 64333, 50623, 50461, 50623, 57528, 51837, 50991, 51639, 51446, 54733, 78034, 50623, 50416, 50624, 50417, 50624, 52746, 64754, 50624, 50420, 50624, 51706, 65290, 50623, 50423, 50623, 51280, 50849, 52929, 51238, 50424, 50623, 50429, 51512, 65903, 53629, 55246, 51435, 53415, 50623, 51516, 51351, 53629, 51362, 52746, 51183, 50439, 50623, 50440, 50623, 50441, 51706, 72473, 50623, 50444, 51144, 64661, 50623, 50447, 50623, 51099, 66270, 50623, 50449, 50623, 50450, 51308, 55874, 51639, 68429, 51948, 53848, 51837, 50808, 50799, 51435, 50873, 52929, 50893, 53038, 51127, 50417, 51876, 53932, 51280, 50810, 51639, 50845, 51837, 53471, 51847, 55035, 51777, 50901, 51948, 65708, 51512, 53308, 51639, 50849, 51837, 60698, 51280, 52729, 77061, 52381, 51191, 51876, 51218, 50441, 51280, 54207, 51144, 55590, 51099, 53639, 51512, 53987, 51153, 68429, 52381, 50808 ]

[ 0, 4688, 5175, 2214, 19, 10, 2842, 9, 3152, 2712, 6, 4246, 10, 11739, 9, 38668, 3038, 6, 12280, 3275, 1725, 3109, 6, 20535, 2810, 6, 16224, 1097, 483, 6, 8, 6755, 12547, 4, 8504, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 4, 20, 15229, 7630, 6568, 10, 15352, 30054, 8, 9066, 5466, 6, 19, 223, 34693, 9, 2365, 8, 814, 12, 13283, 4785, 6, 150, 6780, 41, 1374, 1372, 16464, 4, 20, 33215, 16739, 9, 83, 6, 211, 119, 6, 272, 119, 406, 6, 230, 406, 6, 8, 274, 3639, 7, 63, 13363, 28191, 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 ]

[ 54458, 58402, 50796, 50444, 51409, 51732, 51188, 51732, 51245, 52024, 76570, 52500, 50446, 50742, 50337, 52500, 50448, 50742, 50338, 52500, 50450, 50742, 50342, 52500, 50452, 50742, 50345, 52500, 50454, 50742, 50347, 52500, 50799, 52049, 50811, 52443, 50811, 55928, 50880, 51434, 50811, 51773, 50811, 52046, 50811, 51197, 50811, 50706, 50331, 53662, 77487, 69628, 55180, 52049, 50811, 52443, 50811, 55928, 50880, 51434, 50811, 51773, 50811, 52046, 50811, 51197, 50811, 50706, 50331, 54332, 54957, 52049, 50811, 52443, 50811, 52443, 50860, 55928, 50880, 51434, 50811, 51773, 50811, 51773, 61870, 52049, 50811, 52443, 51072, 55928, 50880, 51434, 50811, 51773, 51072, 50447, 52292, 50811, 52242, 50811, 55242, 50880, 51515, 50811, 51440, 52768, 52049, 50811, 52443, 51732, 55928, 50880, 51434, 50811, 51773, 51732, 50456, 52242, 50811, 51975, 50811, 54062, 50880, 51440, 50811, 51607, 50811, 50799, 52292, 50811, 52242, 50811, 55242, 50880, 51515, 50811, 51440, 50811, 51247, 68268, 50803, 50706, 50333, 50880, 51143, 51184, 51344, 51184, 52341, 58583, 77487, 69628, 55180, 52292, 50811, 52242, 50811, 55242, 50880, 51515, 50811, 51440, 50811, 51247, 68268, 50803, 50706, 50333, 54332, 54392, 69188, 52500, 51456, 64640, 76570, 52500, 51456, 58032, 50742, 50337, 52500, 51456, 53031, 50742, 50340, 52500, 51456, 56446, 50742, 50345, 52500, 51224, 59051, 51224, 52742, 51224, 62969, 51224, 59144, 51326, 53114, 51326, 56453, 51326, 59361, 51326, 52743, 51289, 64125, 51289, 57098, 51289, 53217, 51289, 57110, 50801, 59025, 50801, 50825, 50799, 52573, 50811, 52242, 50811, 55242, 50880, 51614, 50811, 51440, 50811, 51799, 50803, 51120, 50803, 67409, 50880, 51529, 51184, 51075, 51184, 53964, 51184, 50804, 69628, 55180, 52573, 50811, 52242, 50811, 55242, 50880, 51614, 50811, 51440, 50811, 51799, 50803, 51120, 50803, 67409, 54332, 54392, 51409, 51352, 57337, 56094, 54997, 56094, 50438, 52573, 50811, 52242, 50811, 55242, 50880, 51614, 50811, 51440, 50811, 52874, 68071, 52573, 50811, 52242, 50811, 55242, 50880, 51614, 50811, 51440, 55059, 52573, 50811, 52242, 50811, 55242, 50880, 51614, 50811, 51440, 52768, 53334, 50811, 52443, 51059, 55928, 50880, 52027, 50811, 51773, 75487, 52292, 50811, 51975, 50811, 54062, 50880, 51515, 50811, 51607, 50811, 50799, 52049, 50811, 52443, 50975, 55928, 50880, 51434, 50811, 51773, 50975, 51214, 80019, 50803, 64517, 50880, 51075, 51009, 51211, 51009, 52375, 56681, 55619, 69628, 55180, 52049, 50811, 52443, 51184, 55928, 50880, 51434, 50811, 51773, 51184, 51214, 80019, 50803, 64517, 54332, 54392, 51456, 64640, 51456, 58032, 51456, 53031, 51456, 56446, 51224, 59051, 51224, 52742, 51075, 53090, 51211, 52570, 51224, 62969, 51224, 59144, 51326, 53114, 51326, 56453, 51326, 59361, 51326, 52743, 51289, 64125, 51289, 57098, 51289, 53217, 51289, 57110, 50801, 59025, 50801, 50825, 50799, 52049, 50802, 52895, 50802, 52443, 51795, 76570, 52570, 55751, 50880, 51434, 50802, 52603, 50802, 51773, 51795, 52206, 52589, 51135, 54202, 52206, 52589, 51135, 53272, 52292, 50803, 74920, 66017, 54283, 50880, 51515, 50803, 51440, 50803, 51669, 50803, 52206, 52997, 51467, 53998, 53334, 50803, 77155, 69289, 54062, 50880, 52027, 50803, 51434, 50803, 51607, 50803, 52206, 52589, 51135, 53945, 52206, 52589, 51135, 57917, 53334, 50811, 52049, 50811, 51975, 50811, 54062, 50880, 52027, 50811, 51434, 50811, 51607, 52940, 52206, 52589, 51135, 56197, 53334, 50811, 52049, 50811, 51975, 50811, 54062, 50880, 52027, 50811, 51434, 50811, 51607, 52768, 52292, 50811, 52242, 50811, 52044, 50811, 54283, 50880, 51515, 50811, 51440, 50811, 51669, 50811, 52206, 52997, 51467, 54232, 52049, 50811, 52895, 50811, 52443, 50824, 55751, 50880, 51434, 50811, 52603, 50811, 51773, 50824, 52206, 52589, 72322, 50799, 52049, 50802, 52044, 50802, 52443, 51300, 54283, 50880, 51434, 50802, 51669, 50802, 51773, 51300, 51214, 52589, 51135, 54202, 51214, 52589, 51135, 53272, 52292, 50803, 74920, 69289, 54062, 50880, 51515, 50803, 51440, 50803, 51607, 50803, 51214, 52997, 51467, 53998, 53334, 50811, 52049, 50811, 52443, 51072, 55928, 50880, 52027, 50811, 51434, 50811, 51773, 51072, 51214, 52589, 51135, 53945, 51214, 52589, 51135, 57917, 53334, 50811, 52049, 50811, 52443, 50975, 55928, 50880, 52027, 50811, 51434, 50811, 51773, 58919, 51214, 52589, 51135, 56197, 53334, 50811, 52049, 50811, 52443, 51072, 55928, 50880, 52027, 50811, 51434, 50811, 51773, 63758, 52292, 50811, 52242, 50811, 51975, 50811, 54062, 50880, 51515, 50811, 51440, 50811, 51607, 50811, 51214, 52997, 51467, 54232, 51906, 51732, 52049, 50811, 52044, 50811, 54283, 50880, 51434, 50811, 51669, 50811, 51773, 51732, 51214, 52589, 72322, 50799, 60914, 50811, 53324, 51469, 51975, 51469, 52895, 51469, 51395, 51243, 51929, 51469, 51607, 51469, 52603, 51469, 51503, 51184, 51386, 51469, 51849, 51151, 68041, 63603, 53382, 60208, 54073, 53213, 52895, 57646, 51975, 58242, 53324, 52968, 53382, 61347, 54073, 58459, 52895, 54053, 51975, 62268, 53324, 60958, 53334, 54459, 54073, 50385, 53823, 68017, 52895, 62505, 51975, 54989, 53324, 72616, 60635, 53334, 61951, 52550, 54411, 52895, 61853, 68317, 51975, 64526, 53324, 54166, 53334, 54218, 60203, 51774, 61630, 54632, 50840, 50799, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 59566, 57705, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 54446, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 52992, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 52925, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 54487, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 55218, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 53044, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 53068, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 54859, 50798, 53268, 53882, 50811, 52740, 50811, 52242, 50811, 51284, 50880, 55243, 50883, 52806, 50883, 52435, 50811, 51660, 50811, 51440, 50811, 51279, 50811, 63626, 54218, 50839, 50799, 52049, 50811, 52242, 50811, 52044, 50811, 51384, 50860, 53722, 50883, 51614, 50883, 51434, 50811, 51440, 50811, 51669, 50811, 51799, 50811, 67409, 50840, 51155, 50896, 58995, 56315, 54031, 77155, 74920, 66017, 51384, 50860, 73602, 50883, 53722, 50883, 51434, 50803, 51440, 50803, 51669, 50803, 51799, 50811, 67409, 52411, 53338, 56315, 53516, 51011, 63692, 52053, 61799, 51271, 53810 ]

[ 0, 250, 15352, 30054, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 7630, 6568, 10, 1472, 9, 11098, 8, 26545, 6, 10686, 13, 10, 8728, 822, 19834, 4, 20, 33215, 16739, 9, 12608, 119, 6, 2060, 406, 6, 8, 230, 10431, 401, 16, 6636, 5705, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50418, 52052, 50917, 50421, 52128, 51100, 50989, 51413, 51028, 51189, 51081, 51189, 51339, 51100, 50428, 51405, 60412, 51787, 56504, 52128, 51110, 51339, 51110, 50440, 51405, 50812, 51787, 52597, 51028, 51103, 50951, 51103, 51399, 51110, 50445, 50956, 51189, 51339, 51100, 50452, 51405, 55874, 51220, 52955, 51399, 51110, 51339, 51110, 51809, 51405, 50897, 51220, 67503, 51399, 51110, 51176, 51413, 50956, 51413, 50973, 51189, 51001, 51103, 51081, 51100, 50429, 51220, 50897, 51147, 57066, 51399, 51110, 50433, 51081, 51100, 50440, 51220, 79111, 53969, 51114, 51110, 50445, 51081, 51100, 51324, 51103, 51378, 51100, 50899, 51103, 50973, 51103, 50902, 51413, 50453, 50931, 79111, 50917, 50454, 51176, 57431, 51114, 51110, 51081, 51110, 50457, 50997, 51110, 52177, 51086, 51100, 50931, 76024, 64355, 51234, 51103, 51040, 51103, 50906, 51103, 75033, 51147, 51100, 50429, 67423, 51001, 52749, 75033, 50433, 51147, 51100, 50440, 51114, 50897, 51001, 58937, 50876, 51100, 50900, 51103, 51279, 51103, 50989, 51100, 50931, 50849, 50452, 64341, 50455, 50931, 52955, 50876, 74127, 51100, 51001, 51159, 50457, 53667, 51110, 53069, 51086, 51413, 51028, 75258, 50973, 51100, 51503, 51189, 50989, 51100, 50431, 50956, 75965, 50897, 71777, 50440, 50997, 79438, 65788, 63925, 50914, 50443, 51360, 51189, 50451, 50965, 51800, 50303, 50914, 50452, 50956, 70651, 50914, 50455, 52759, 51162, 53069, 63417, 50997, 51103, 51966, 50812, 51040, 50812, 63435, 60216, 50431, 51028, 79438, 50812, 60216, 51114, 51159, 51081, 51100, 51399, 69474, 57577, 51220, 56442, 51399, 64480, 51220, 50914, 50443, 51026, 51103, 50951, 51100, 52046, 51110, 50973, 51159, 51001, 51100, 50451, 50902, 50849, 50454, 51028, 50914, 50455, 50951, 51110, 51040, 66966, 50812, 59285, 50906, 51159, 51081, 51159, 52478, 51086, 51894, 50419, 50861, 51159, 50973, 51100, 51001, 51100, 50951, 75354, 51503, 51100, 50430, 75729, 71777, 79188, 50431, 50956, 50812, 51147, 52841, 51405, 51103, 51001, 51103, 51220, 51103, 51147, 51103, 50442, 56539, 65114, 50906, 75409, 50965, 65872, 59464, 50956, 62516, 50861, 50849, 57126, 50917, 50418, 51086, 51307, 62257, 58383, 66285, 51360, 58963, 60313, 62257, 51147, 51159, 51040, 61581, 50812, 58383, 50931, 51800, 50329, 51159, 51339, 75094, 51405, 66425, 51339, 64480, 51220, 51159, 51114, 51159, 51405, 69796, 51159, 52759, 71606, 51159, 50453, 50965, 69821, 58383, 51028, 51159, 50931, 51800, 50324, 70651, 51159, 51399, 51159, 52177, 51114, 51110, 50999, 77877, 69796, 51110, 50418, 51966, 51100, 50876, 51159, 78091, 69353, 63417, 51040, 50812, 63435, 60216, 67423, 76533, 51399, 60831, 51114, 51103, 50997, 51103, 51081, 51103, 51405, 51103, 51787, 51103, 50441, 52759, 51100, 50449, 50871, 50917, 50452, 50956, 51110, 63435, 60216, 50460, 50899, 50917, 51601, 52128, 51100, 50416, 51040, 51103, 51081, 51100, 51234, 51103, 51147, 51159, 51399, 51100, 50424, 51787, 61057, 52128, 59749, 51787, 51800, 50322, 50914, 50428, 51028, 51581, 50329, 51159, 50989, 67085, 50812, 51081, 51159, 50439, 50999, 51110, 50440, 51062, 51159, 51279, 51103, 50900, 51103, 50931, 51159, 50441, 51339, 51159, 50451, 51114, 69796, 50812, 72733, 51001, 51124, 50999, 51800, 50331, 51100, 50453, 50876, 71221, 61629, 51399, 50836, 76953, 50812, 50416, 51503, 51110, 51086, 51103, 51028, 51100, 51001, 51110, 51081, 51100, 51399, 51110, 50427, 75729, 50428, 64341, 50956, 50812, 58383, 51220, 76024, 55310, 51114, 51159, 50906, 51159, 51001, 51100, 51081, 51159, 50439, 51040, 51159, 51234, 51159, 50446, 50965, 71449, 71606, 51800, 50324, 51159, 62291, 70390, 51324, 51159, 57542, 51591, 51360, 51100, 50989, 51100, 51001, 51159, 51114, 51159, 51220, 51189, 51405, 51189, 56040, 50812, 63435, 58383, 50433, 50965, 61581, 71449, 65208, 51591, 50437, 52759, 51110, 50445, 50956, 50917, 50449, 62257, 51040, 51100, 70835, 50973, 52955, 51086, 51100, 50460, 51028, 50914, 50461, 50997, 51100, 51114, 51159, 51081, 51159, 51399, 51159, 62368, 75354, 52052, 51519, 50334, 50917, 50424, 52128, 51124, 50997, 50914, 50425, 51339, 51100, 51197, 51159, 50989, 69133, 51405, 52098, 50334, 50917, 50436, 51176, 51159, 50956, 51159, 50973, 51159, 51081, 51100, 51399, 64990, 51220, 52098, 50324, 50917, 50448, 51086, 75202, 51100, 50871, 51159, 50931, 51159, 51081, 51100, 50449, 51360, 66225, 50973, 52098, 50324, 67238, 63417, 51966, 51100, 50997, 51103, 51040, 50812, 63435, 60216, 60212, 51114, 51159, 51040, 50812, 51028, 51159, 51081, 51100, 51399, 69474, 50812, 60216, 50431, 51220, 62089, 51399, 54125, 50951, 51100, 51220, 51159, 51026, 51103, 50436, 50973, 51162, 51001, 51519, 50283, 51100, 50442, 50902, 72143, 51028, 50914, 50447, 50951, 51110, 51040, 66966, 50812, 59285, 50906, 51159, 51081, 51159, 50458, 51503, 51110, 51086, 51894, 71356, 50973, 51100, 51001, 51110, 50951, 51124, 55753, 75729, 50973, 62270, 64341, 50956, 50812, 51147, 59225, 51405, 51159, 51001, 51103, 51147, 51103, 51220, 51103, 50433, 56539, 51100, 50440, 52052, 51519, 50334, 59187, 51405, 51110, 50956, 50897, 50965, 65872, 50897, 52128, 51110, 50449, 50861, 75409, 50989, 57431, 51086, 51307, 62257, 58383, 66285, 51360, 58963, 50812, 52591, 62257, 58383, 50931, 51800, 50324, 51159, 51040, 70651, 50812, 51399, 51159, 51339, 50849, 50428, 51405, 59225, 51339, 57066, 51114, 50914, 50433, 51220, 51159, 50956, 51159, 51001, 51159, 51405, 51159, 52759, 68247, 62257, 51028, 51159, 50931, 51800, 50324, 51159, 50445, 51399, 51162, 50871, 51162, 50973, 53875, 51114, 51100, 50999, 51159, 51966, 51100, 50956, 78040, 51159, 51062, 51162, 53069, 51040, 50812, 60216, 63417, 67423, 76533, 51399, 75965, 59749, 51114, 51159, 50997, 51591, 51081, 51159, 51399, 51159, 51787, 50914, 50430, 52759, 64859, 50931, 52098, 50333, 50917, 50442, 51787, 51110, 51040, 50812, 60216, 51114, 51110, 51081, 51110, 51399, 51110, 50989, 52848, 50951, 51519, 50335, 56012, 51487, 75409, 52128, 50849, 50454, 51040, 51103, 51147, 50917, 50455, 51234, 51413, 51081, 51100, 51399, 51100, 50461, 52128, 50849, 62856, 50917, 50418, 63417, 51114, 51159, 63435, 60216, 51081, 51159, 51399, 51800, 50334, 73055, 50999, 51110, 50430, 51279, 51103, 50900, 51103, 50931, 77877, 51159, 51339, 51159, 50441, 51114, 51159, 50999, 51159, 50956, 50812, 57002, 51405, 50849, 50442, 51001, 51100, 50989, 60407, 64072, 51399, 53886, 51405, 50897, 50452, 51086, 51103, 51028, 51124, 50453, 51001, 51100, 51081, 51110, 51399, 51110, 51503, 51100, 51809, 62257, 50956, 50812, 58383, 64341, 70597, 51220, 65366, 51001, 51100, 51114, 51159, 50906, 51159, 51081, 51159, 50427, 51040, 51159, 50428, 51234, 51162, 50435, 50965, 71606, 51800, 50324, 50914, 50436, 50973, 51159, 50440, 51324, 51159, 50956, 75355, 51086, 51591, 51001, 51800, 50322, 51189, 51220, 51189, 51405, 51189, 50451, 51360, 51100, 50989, 51100, 56178, 50812, 63435, 58383, 63714, 51159, 50973, 51159, 51001, 65208, 51413, 50427, 52759, 50917, 50434, 51028, 50897, 50906, 79282, 51086, 63403, 50897, 50973, 56057, 50871, 57577, 51360, 51162, 50445, 51028, 51159, 51114, 51486, 50989, 51159, 50906, 51159, 51001, 51159, 50449, 51966, 51189, 50997, 61327, 50956, 52098, 50300, 50917, 50460, 51027, 50897, 50989, 60091, 50899, 50836, 52591, 50997, 51103, 51040, 51159, 50989, 51159, 50424 ]

[ 0, 250, 182, 765, 37903, 9, 5175, 8, 3495, 930, 14, 16, 20425, 6, 1372, 6, 8, 15352, 30054, 6, 19, 10, 11602, 9, 15073, 4, 85, 16, 11, 5, 762, 9, 272, 10431, 3694, 8, 34, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 6, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 13931, 1171, 12608, 12361, 6, 163, 428, 6, 2060, 119, 6, 8, 2060, 406, 73, 347, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51176, 51646, 51176, 51798, 51176, 51923, 50916, 50795, 56178, 51646, 50956, 51798, 50956, 51923, 50916, 50795, 57346, 51646, 51040, 51798, 51040, 51923, 51086, 50795, 57346, 51631, 51040, 51736, 51086, 51646, 51040, 51918, 51086, 51798, 51040, 51923, 51086, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 19834, 27456, 6, 42, 2125, 22750, 1626, 11098, 8, 1619, 9450, 4, 2595, 10312, 30, 10, 11577, 12547, 9, 13305, 6, 21979, 9590, 6, 26432, 636, 3938, 22052, 6, 38668, 20535, 6, 8, 17691, 28430, 6, 24, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 3694, 6, 5, 15229, 16, 17407, 30, 5, 16331, 33215, 16739, 9, 12608, 6, 272, 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 ]

[ 57739, 51070, 60387, 60387, 60387, 60387, 53548, 51070, 57503, 57503, 57503, 57503, 52444, 51070, 57388, 57388, 57388, 57388, 55268, 51070, 59345, 59345, 59345, 59345, 50930, 51755, 74447, 55366, 50991, 51176, 53010, 63564, 50907, 54195, 50827, 53761, 51397, 52253, 51627, 50415, 51503, 52063, 51402, 61844, 54195, 54448, 53552, 50825, 54824, 76166, 50876, 73477, 50982, 51001, 50928, 51147, 54298, 51510, 50891, 50965, 51123, 50876, 62520, 51001, 51000, 80164, 50825, 55366, 52370, 50288, 51051, 51176, 50907, 51532, 50891, 51361, 50825, 52157, 52014, 50290, 55583, 50312, 52666, 50316, 72938, 50941, 63564, 50851, 54195, 63502, 51085, 51954, 50324, 51004, 51556, 50891, 69615, 50820, 51461, 53177, 50292, 51328, 50900, 52063, 54195, 50827, 69107, 50827, 52575, 51535, 52253, 51627, 51572, 70041, 64559, 52666, 50320, 50971, 54195, 50827, 52837, 63540, 50861, 55686, 53552, 50891, 50876, 73210, 65379, 52386, 50323, 51297, 51382, 51041, 50825, 51085, 51309, 50900, 51797, 50451, 51493, 50937, 77695, 51897, 50825, 51461, 75672, 65379, 52666, 50316, 64468, 50928, 54195, 50886, 69107, 50864, 74262, 51755, 74447, 65722, 50874, 54195, 73821, 51140, 75198, 51775, 52544, 51145, 52253, 51145, 51402, 53738, 53552, 64559, 50870, 54824, 50907, 54195, 65369, 51140, 61257, 50908, 50931, 50837, 51510, 50891, 50965, 54191, 50321, 69666, 62520, 51140, 50959, 80164, 50825, 51085, 51363, 65722, 67322, 51522, 50806, 54195, 50864, 51532, 50891, 51361, 50825, 51150, 50844, 50876, 72503, 72172, 51000, 54195, 50874, 54824, 50984, 51556, 53115, 51577, 52388, 57737, 63239, 50949, 66641, 51247, 50897, 51050, 50833, 60040, 50439, 51793, 50952, 50965, 50862, 65722, 50874, 54195, 50844, 51755, 74447, 51140, 50822, 54195, 50874, 65722, 50904, 52714, 55614, 51247, 52415, 50297, 50972, 51402, 53738, 53552, 50825, 51140, 64397, 50908, 54195, 50874, 54824, 50907, 52278, 50807, 50421, 50876, 71357, 50870, 51510, 50891, 51140, 72172, 75770, 70202, 50904, 80164, 50825, 51522, 51519, 50285, 67322, 51050, 51254, 51532, 62000, 51150, 50955, 51361, 64660, 52666, 50316, 64470, 50904, 54195, 50864, 65722, 50864, 52926, 51212, 51556, 50891, 69615, 50820, 52157, 50925, 51234, 51008, 50997, 51470, 58569, 50864, 65722, 50886, 52186, 51295, 51572, 70041, 50825, 52157, 71120, 54191, 50314, 50891, 58569, 50864, 54115, 68164, 50871, 56377, 53552, 50891, 51028, 51123, 76075, 50871, 51470, 50448, 52157, 58579, 51001, 51142, 51382, 51041, 50825, 52318, 51519, 50290, 64569, 51481, 51647, 61733, 51140, 58325, 51897, 73357, 78176, 64470, 50971, 58569, 70669, 50867, 74262, 51755, 74447, 51140, 50827, 51050, 51079, 65722, 50864, 54195, 50874, 52926, 50840, 51402, 53738, 53552, 50825, 51140, 64660, 54191, 50309, 52666, 50316, 50870, 54195, 50874, 54824, 50912, 52186, 50807, 51510, 50891, 51140, 66811, 51269, 50876, 65869, 50871, 51297, 80164, 50825, 51522, 51060, 51050, 51006, 51532, 50891, 51361, 50825, 51150, 66878, 54191, 50316, 75868, 51000, 54195, 50864, 65722, 50864, 51784, 50857, 51556, 50891, 69615, 50820, 52157, 50925, 51234, 51712, 50302, 51753, 65722, 50874, 58569, 50941, 52549, 51472, 51572, 70041, 50825, 52157, 68840, 54731, 50314, 50928, 58569, 50912, 54115, 71703, 50871, 56377, 53552, 50891, 51028, 52179, 50871, 53535, 50314, 51376, 50448, 52157, 50925, 51382, 51041, 70322, 52518, 51234, 71364, 52318, 50917, 77695, 51897, 50825, 51140, 69791, 78176, 61582, 50941, 65722, 68826, 58569, 50941, 51621, 56772, 51176, 54848, 51755, 74447, 55366, 51055, 51503, 51753, 63564, 70250, 54195, 50864, 51784, 50887, 51402, 53738, 53552, 64660, 79986, 52386, 50307, 51129, 54195, 50827, 54824, 50984, 52549, 50889, 51510, 50891, 50965, 51022, 71089, 50956, 51252, 50425, 51176, 53010, 80164, 50825, 51560, 51514, 50288, 51753, 51532, 50891, 51361, 50825, 55366, 59703, 51022, 50876, 52386, 50307, 51319, 63564, 50907, 54195, 61231, 52173, 50851, 51556, 58286, 52419, 50915, 69615, 50820, 51279, 52059, 51027, 53161, 69107, 50874, 58569, 50941, 52285, 50925, 51572, 70041, 73357, 54298, 50877, 51126, 58569, 50827, 54116, 50912, 52173, 55932, 53552, 50891, 50877, 51022, 50448, 77559, 51382, 51041, 50825, 51493, 73387, 52059, 51279, 51753, 52549, 50889, 51647, 61733, 69107, 55293, 51897, 50825, 52419, 50942, 51028, 51123, 50877, 51000, 58569, 51000, 50457, 50916, 50971, 74262, 51755, 74447, 55366, 51157, 51503, 52034, 54195, 50851, 63564, 51000, 51784, 67481, 51176, 55789, 51402, 53738, 53552, 50825, 54824, 51022, 54195, 73122, 50965, 51269, 50876, 52666, 50307, 51319, 51510, 50891, 80164, 50825, 51560, 50805, 54824, 51126, 54195, 70085, 51503, 52666, 50300, 51128, 51532, 50891, 51361, 50825, 55366, 63328, 51123, 51234, 52386, 50302, 64743, 57741, 50331, 51210, 54195, 65176, 50956, 50982, 51556, 50891, 69615, 50820, 51461, 50845, 52659, 52511, 50292, 51753, 50900, 51797, 54195, 50851, 69107, 50864, 51572, 70041, 50825, 51098, 55332, 70202, 51074, 54195, 50874, 52837, 63540, 50916, 58554, 53552, 50891, 50916, 51022, 50448, 50861, 50971, 51382, 51041, 50825, 51461, 51455, 50292, 51309, 50900, 52059, 77695, 51897, 50825, 51098, 51006, 54195, 50886, 69107, 63652, 50876, 64007, 52081, 50308, 50971, 74262, 51755, 74447, 51140, 51008, 51050, 50978, 65722, 50874, 54195, 50904, 52714, 50813, 51402, 53738, 53552, 71762, 53131, 50312, 52192, 54195, 50851, 54824, 50907, 52278, 51013, 50421, 51140, 73355, 75770, 50908, 51510, 50891, 51140, 66826, 51041, 50825, 51522, 51121, 51085, 50892, 51532, 50891, 51361, 50825, 51150, 50878, 51247, 61257, 51123, 50900, 77918, 50870, 64135, 50333, 50874, 52926, 50873, 51556, 50891, 69615, 50820, 52157, 50812, 51234, 51423, 65722, 50867, 58569, 50864, 52186, 51157, 51572, 70041, 50825, 52157, 65124, 50908, 50906, 50870, 58569, 50904, 54115, 56197, 53552, 50891, 52157, 71304, 51123, 51382, 51041, 50825, 52318, 75050, 51481, 51234, 51328, 77695, 51897, 50825, 51140, 75600, 61123, 51764, 50305, 51126, 65722, 50867, 58569, 72806, 52186, 50971, 74262, 51755, 74447, 51050, 51277, 54195, 50822, 65722, 50867, 52926, 59249, 51140, 50822, 51402, 53738, 53552, 50825, 51140, 66811, 53010, 54195, 50874, 54824, 50904, 52186, 50914, 50421, 50871, 50870, 50900, 51432, 51510, 62184, 51140, 62154, 50971, 80164, 50825, 51522, 51519, 50297, 50838, 51532, 50891, 51361, 50825, 51150, 50878, 50965, 51123, 50871, 50904, 54195, 50864, 65722, 63502, 50900, 50941, 51784, 51212, 51556, 50891, 69615, 50820, 52157, 50925, 51234, 51242, 65722, 50827, 58569, 70639, 50997, 51753, 52549, 50914, 51572, 70041, 50825, 52157, 50855, 58569, 50904, 54115, 71583, 51040, 53693, 50314, 51166, 50447, 53552, 75816, 71487, 52157, 64824, 51041, 50825, 52318, 51519, 50290, 51242, 77695, 51897, 50825, 51140, 50892, 65722, 50822, 54115, 50864, 58569, 50941, 52549, 66000, 50906, 64470, 78277, 51126, 74262, 51755, 74447, 55366, 51346, 51176, 58483, 51503, 51884, 63564, 50827, 54195, 50904, 51784, 50865, 51402, 53738, 53552, 64660, 51432, 54824, 50907, 54195, 50874, 52549, 50943, 50421, 50900, 50891, 51510, 50891, 50956, 54191, 50304, 51851, 50425, 51503, 51277, 80164, 50825, 55366, 51519, 50300, 51824, 51532, 62000, 51234, 51644, 50291, 51022, 52173, 50845, 51361, 50825, 51560, 52434, 50312, 50984, 50956, 51126, 63564, 50912, 54195, 58803, 50900 ]

[ 0, 250, 25306, 19834, 15229, 11, 211, 3694, 6, 4246, 30062, 620, 7085, 12280, 642, 6, 18558, 6, 21979, 9590, 6, 8, 6755, 12547, 6, 2351, 41, 9066, 8, 19448, 5466, 4, 590, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 42, 765, 2125, 25935, 1626, 227, 211, 538, 8, 211, 3694, 40286, 6, 7630, 14805, 10, 1472, 9, 2821, 16235, 8, 15073, 6, 1969, 13, 822, 4391, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 50796, 50796, 50461, 67929, 53501, 52776, 52570, 50799, 54128, 51237, 50425, 51273, 50807, 50437, 51261, 56508, 51273, 51003, 54204, 55973, 51273, 56389, 54128, 54145, 51273, 50943, 54204, 75725, 51273, 73125, 51261, 51003, 50451, 51273, 50889, 51601, 54128, 51237, 67929, 53501, 52776, 52570, 55699, 51675, 51555, 51591, 50427, 51273, 68647, 51261, 50943, 50445, 54445, 51377, 51584, 51162, 50452, 51273, 59827, 51722, 51162, 54099, 51116, 51809, 78899, 54445, 51178, 50417, 51584, 51110, 50425, 54445, 51110, 51584, 51110, 50428, 51273, 51056, 50433, 54099, 51124, 51722, 51124, 50440, 54128, 57699, 55699, 51178, 51555, 65504, 55699, 51124, 51555, 51110, 50452, 51273, 50943, 50457, 57330, 51121, 51783, 51100, 52177, 51261, 50943, 57330, 51221, 51783, 74592, 55699, 51591, 51555, 51591, 50429, 51273, 50943, 50441, 51261, 51003, 50453, 51273, 50889, 50455, 57330, 62174, 51783, 51111, 50799, 57330, 77921, 51783, 66147, 54128, 51237, 50421, 61707, 76968, 52041, 50849, 50428, 61707, 51177, 50429, 51273, 50807, 52041, 51177, 50435, 51783, 51110, 57330, 51121, 50442, 51261, 50943, 61789, 51127, 50443, 52123, 51103, 50454, 51273, 51003, 51809, 57330, 51121, 50417, 51783, 51110, 50418, 78899, 50425, 57330, 63963, 51783, 51110, 50430, 51273, 57421, 55699, 53259, 50433, 51555, 54153, 50442, 54128, 66395, 51273, 50943, 53069, 51261, 50943, 50431, 51273, 50943, 50443, 51261, 51003, 50455, 51273, 50889, 51809, 52679, 51159, 51567, 50889, 50419, 54128, 51237, 50427, 54099, 51178, 50428, 51722, 51110, 50431, 51273, 62369, 52123, 52069, 50436, 51612, 51894, 50444, 51261, 58705, 51273, 51003, 52591, 78899, 50427, 52041, 51159, 52075, 51377, 50432, 51273, 50943, 50437, 52679, 50873, 51567, 78373, 54128, 66456, 52679, 51178, 51567, 51110, 50453, 54099, 51043, 51722, 66947, 51273, 50943, 50460, 54445, 51056, 50461, 51584, 51377, 55753, 51261, 50943, 50423, 52679, 51110, 51567, 51124, 50431, 54099, 51127, 51722, 51103, 50433, 51273, 50943, 50445, 51261, 51003, 50455, 54445, 67773, 51584, 51162, 50457, 51273, 50889, 52177, 55699, 50937, 51555, 51121, 50421, 54128, 51237, 50424, 57330, 50937, 50425, 51783, 65135, 57330, 50937, 51783, 68233, 51273, 61298, 57330, 51121, 51783, 51100, 50445, 55699, 51351, 50446, 51261, 50943, 51555, 50943, 50458, 51273, 51003, 54445, 51103, 51584, 51103, 56020, 78899, 50434, 51273, 50943, 57330, 51221, 50435, 51783, 65346, 55699, 52821, 50445, 51555, 52903, 50446, 54128, 79263, 51273, 50943, 57731, 51261, 50943, 50435, 51273, 50943, 50447, 51261, 51003, 50459, 51273, 50889, 57731, 54128, 50889, 52776, 53601, 55228, 58299, 52650, 76980, 56265, 57173, 53267, 50995, 50435, 51273, 50807, 50436, 53472, 50995, 50439, 52697, 51108, 50442, 52650, 50995, 50445, 53039, 50932, 50448, 51261, 51013, 53267, 50981, 50451, 54428, 51097, 50454, 52697, 50995, 50457, 54723, 50932, 50460, 51273, 51003, 53039, 51003, 51601, 57545, 50981, 50418, 52697, 50995, 50421, 54723, 50932, 50424, 51261, 51016, 53267, 50915, 50427, 54428, 51097, 50430, 52650, 50995, 50433, 53039, 50932, 50436, 51273, 50943, 53472, 50995, 50439, 52697, 50932, 50442, 56265, 50915, 50445, 53267, 51097, 50448, 54128, 51013, 51699, 54300, 55228, 50915, 50451, 52650, 50995, 50454, 56265, 50915, 50457, 53267, 50995, 50460, 51273, 50943, 50461, 53472, 50995, 51809, 52697, 51108, 50419, 52650, 50981, 50422, 53039, 50932, 50425, 79205, 53267, 50915, 50428, 54428, 50995, 50431, 52697, 50915, 50434, 54723, 50995, 50437, 51273, 50943, 53039, 50981, 50440, 57545, 51097, 50443, 52697, 50981, 50446, 54723, 51097, 50449, 51261, 50889, 53267, 50981, 50452, 54428, 51097, 50455, 52650, 50995, 50458, 53039, 51108, 50461, 51273, 50889, 53472, 50981, 51809, 52697, 51534, 50419, 56265, 74430, 53267, 63750, 54128, 50889, 51699, 53073, 55228, 51003, 55699, 51675, 51555, 51675, 50428, 52650, 50995, 50431, 56265, 50915, 50434, 53267, 56656, 51273, 50807, 53472, 74244, 52697, 63236, 52650, 50995, 50447, 53039, 54980, 51261, 51013, 53267, 77204, 54428, 62214, 52697, 50995, 51584, 50914, 54445, 51377, 50459, 54723, 50932, 54079, 51003, 53039, 51003, 50417, 57545, 50981, 50419, 54099, 50873, 51722, 74895, 52697, 50995, 50423, 54723, 54869, 51261, 51016, 53267, 50915, 50428, 51722, 51056, 50429, 54428, 51097, 54099, 77066, 52650, 50995, 50435, 53039, 54498, 51273, 51056, 53472, 50995, 54445, 51255, 50439, 51584, 51221, 50441, 52697, 56350, 56265, 50915, 50447, 53267, 51097, 51567, 51127, 50448, 52679, 51127, 50450, 54128, 51013, 55228, 65421, 52650, 58843, 56265, 50915, 50460, 53267, 50995, 51601, 51273, 50943, 53472, 50995, 50418, 52697, 51108, 50421, 52650, 50981, 50423, 54099, 51221, 51722, 51377, 50424, 53039, 50932, 50427, 79205, 53267, 50915, 50430, 54428, 50995, 50433, 52697, 50915, 54445, 51183, 51584, 51127, 50436, 54723, 50995, 50439, 51273, 50943, 53039, 50981, 50442, 57545, 51097, 50445, 52697, 50981, 50448, 54723, 51097, 50451, 51261, 50889, 53267, 50981, 50454, 54428, 51097, 50457, 52650, 50995, 50458, 52123, 51194, 50459, 51612, 51177, 50460, 53039, 51108, 51601, 51273, 50889, 53472, 50981, 50418, 52697, 73318, 52123, 51417, 51612, 51417, 50421, 56265, 50915, 50424, 53267, 50995, 50427, 54128, 51013, 52481, 52570, 55228, 50981, 50430, 52650, 51097, 50433, 56265, 50915, 50437, 53267, 50995, 50439, 51567, 51221, 50440, 51560, 50807, 54969, 50981, 52679, 51177, 50443, 54254, 51097, 50446, 52650, 50981, 50449, 53039, 50932, 52679, 51692, 51567, 51518, 50452, 51261, 51016, 53267, 50981, 50455, 54428, 51097, 50458, 54254, 51003, 50461, 58143, 50995, 51809, 51560, 50943, 53039, 50981, 50419, 57545, 51097, 50422, 54254, 50981, 50425, 58143, 50932, 50428, 79205, 53267, 50915, 50431, 54428, 50995, 50434, 52650, 50981, 54099, 50873, 51722, 51121, 50437, 53039, 51097, 50440, 51560, 50915, 54969, 50981, 50443, 54254, 51097, 54099, 51121, 51722, 75577, 56265, 51003, 50449, 53267, 57991, 54445, 51221, 51584, 51178, 50452, 54128, 50889, 55228, 50995, 50455, 52650, 50932, 50459, 56265, 51003, 50460, 54445, 50873, 51584, 51178, 50799, 53267, 50981, 50417, 51560, 50889, 54969, 50981, 50419, 55699, 55689, 54254, 51097, 51555, 71818, 52650, 58326, 53039, 51097, 50427, 55699, 51359, 51555, 51359, 50429, 51261, 50889, 53267, 57547, 54428, 51097, 50435, 54254, 56509, 58143, 74244, 51560, 50889, 53039, 59791, 57545, 75102, 54254, 57105, 58143, 70256, 51261, 50889, 53267, 58843, 54428, 50932, 50459, 52650, 50995, 50799, 53039, 66885, 51560, 50889, 54969, 60413, 54254, 50981, 50423, 56265, 58187, 53267, 51108, 50429, 52143, 52570, 50430, 54128, 51013, 55228, 57173, 52650, 50995, 50436, 53715, 50981, 52123, 51121, 51612, 51221, 50439, 52566, 51097, 50442, 51560, 50889, 54969, 59242, 52679, 51178, 51567, 51221, 50445, 54254, 51097, 50448, 52650, 50995, 50451, 53039, 51108, 50454, 51150, 51016, 52566, 50915, 52679, 51518, 50455, 51567, 51486, 50457, 53647, 50995, 50460, 54254, 50915, 51601, 58143, 50995, 50418, 51560, 50889, 53039, 50995, 50421, 57545, 51108, 50424, 54254, 50995, 50427, 58143, 51108, 50430, 74596, 52566, 50915, 50433, 53647, 51097, 50436, 52650, 50995, 50439, 53039, 50932, 50442, 51560, 50807, 54969, 50915, 54099, 50937, 51722, 50937, 50445, 54254, 51097, 50448, 53715, 50981, 50449, 54099, 50937, 51722 ]

[ 0, 250, 20902, 3495, 2214, 11, 83, 3694, 6, 5378, 16364, 19, 11098, 8, 19166, 34879, 4, 85, 3136, 23, 10, 7212, 20889, 9, 12730, 13410, 228, 2289, 6, 6780, 10, 5204, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 230, 406, 6, 12608, 406, 6, 211, 406, 6, 8, 272, 3639, 41, 20425, 8, 17627, 17274, 619, 7, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 54206, 50827, 61335, 61335, 58529, 58529, 58529, 51234, 50933, 51234, 50933, 51234, 50933, 74180, 74180, 74180, 56363, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 52641, 79099, 79099, 51247, 56626, 50997, 74941, 74941, 63279, 67954, 67954, 61123, 61123, 61123, 53945, 51234, 50933, 51234, 50933, 51234, 50933, 74180, 74180, 50997, 57940, 50906, 62378, 62378, 66880, 50997, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 59361, 50876, 61316, 61316, 58914, 51028, 70859, 70859, 53996, 51247, 50827, 51247, 50827, 51247, 55371, 50902, 64134, 64134, 54232, 50899, 63279, 63279, 50825, 51279, 51604, 50289, 51604, 50289, 66445, 66445, 66445, 59972, 60299, 60299, 60299, 51601, 51081, 76819, 76819, 51604, 50290, 50827, 51234, 50827, 51234, 53004, 50997, 74941, 74941, 63279, 63279, 63279, 50825, 61801, 61801, 61801, 58254, 58254, 58254, 59715, 59715, 59715, 69557, 69557, 51081, 63587, 50871, 63751, 63751, 52641, 79099, 79099, 51247, 56626, 50997, 74941, 74941, 73356, 68804, 68804, 60097, 60097, 60097, 53945, 51234, 50933, 51234, 50933, 51234, 50933, 50899, 52169, 50306, 52169, 50306, 64611, 51309, 50871, 51309, 50871, 51309, 55989, 63279, 63279, 74941, 75280, 75280, 76819, 50827, 69557, 51081, 54043, 51062, 51604, 50328, 51604, 50328, 53996, 51247, 51604, 50285, 51604, 50285, 51604, 50329, 51604, 50329, 51604, 50329, 64599, 51146, 78164, 78164, 62356, 51339, 51604, 50333, 51604, 50333, 51604, 50289, 50827, 51279, 50827, 51279, 53176, 50871, 63751, 63751, 63279, 67954, 67954, 59972, 51487, 50827, 51487, 50827, 51487, 50827, 50799, 52052, 50825, 52052, 50825, 52052, 50825, 51234, 50827, 51234, 50827, 51234, 73616, 52052, 50827, 52052, 50827, 52052, 53004, 50997, 74941, 74941, 63279, 63279, 63279, 50825, 51062, 51604, 50328, 51604, 50328, 78164, 78164, 78164, 51604, 50333, 51604, 50333, 51604, 50333, 51604, 50335, 51604, 50335, 51604, 50335, 60417, 51247, 50827, 51247, 50827, 51247, 67825, 51279, 51604, 50289, 51604, 50289, 53998, 50997, 74941, 74941, 63279, 63279, 63279, 52742, 51234, 50827, 51234, 50827, 51234, 53086, 50997, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 52743, 79099, 79099, 51247, 57131, 50997, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 50825, 54662, 52169, 50290, 52169, 50290, 51006, 56363, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 52641, 51247, 50827, 51247, 50827, 51247, 52739, 50997, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 50825, 51279, 51604, 50289, 51604, 50289, 59380, 51234, 50933, 51234, 50933, 51234, 50933, 50443, 50899, 63279, 63279, 63751, 63751, 63751, 53114, 50997, 74941, 74941, 52743, 79099, 79099, 51247, 57131, 50997, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 56834, 51234, 50933, 51234, 50933, 51234, 50933, 55331, 50933, 76884, 76884, 76890, 76890, 76890, 51081, 52169, 50326, 52169, 50326, 64611, 51277, 50871, 51277, 50871, 51277, 56363, 74941, 74941, 63279, 63279, 63279, 52641, 79099, 79099, 79099, 76884, 76884, 76884, 50931, 71227, 71227, 52169, 50326, 77404, 77404, 55665, 50899, 63279, 63279, 72680, 57777, 57777, 57643, 57643, 57643, 77868, 77868, 77868, 63936, 50997, 74941, 74941, 63751, 63751, 63751, 52742, 51234, 51260, 50290, 51260, 50290, 53624, 50899, 67954, 67954, 68804, 68804, 68804, 61123, 61123, 61123, 75280, 64569, 64569, 52985, 77767, 77767, 77767, 50900, 51277, 50900, 51277, 50900, 66983, 51120, 51604, 50294, 51604, 50294, 67954, 58754, 58754, 50838, 55881, 50933, 51197, 50933, 51197, 50933, 50956, 50933, 50956, 50933, 50956, 50933, 50906, 57292, 57292, 60778, 60778, 60778, 57945, 57945, 57945, 54177, 50997, 74941, 74941, 73356, 73356, 73356, 63893, 63893, 63893, 52641, 51234, 52169, 50290, 52169, 50290, 64066, 64066, 64066, 78393, 66985, 66985, 65300, 65300, 65300, 55665, 50906, 51277, 50906, 51277, 50906, 51277, 51081, 51277, 51081, 51277, 51081, 51277, 50433, 50997, 75280, 75280, 68804, 68804, 68804, 60097, 60097, 60097, 53945, 51197, 50933, 51197, 50933, 51197, 50933, 50443, 50900, 66498, 66498, 75280, 50827, 68070, 50997, 53086, 50899, 63279, 63279, 73356, 60420, 60420, 55332, 55332, 55332, 52985, 50861, 63893, 63893, 50825, 51234, 52169, 50290, 52169, 50290, 52169, 50306, 58754, 58754, 70792, 50871, 57712, 57712, 68927, 50956, 60420, 60420, 53581, 50900, 52169, 50304, 52169, 50304, 51006, 54662, 50933, 51234, 50933, 51234, 50933, 50902, 57777, 57777, 57643, 57643, 57643, 64569, 51277, 50997, 51277, 50997, 51277, 50899, 51309, 50899, 51309, 50899, 51309, 55961, 63751, 63751, 58990, 79099, 79099, 51247, 55656, 50902, 69715, 69715, 71227, 57643, 57643, 53052, 50997, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 57514, 50931, 57643, 57643, 57777, 51172, 69995, 69995, 51081, 51199, 51081, 51199, 51081, 59612, 51234, 50933, 51234, 50933, 51234, 50933, 50871, 51277, 50871, 51277, 50871, 51277, 66626, 74941, 74941, 63279, 63279, 63279, 57723, 51247, 50827, 51247, 50827, 51247, 50827, 51001, 60778, 60778, 60472, 60472, 60472, 65348, 51277, 51062, 51277, 51062, 51277, 62291, 61579, 61579, 50932, 50455, 51279, 51604, 50289, 51604, 50289, 54232, 50997, 74941, 74941, 50825, 54662, 50933, 51234, 50933, 51234, 50933, 50899, 51277, 50899, 51277, 50899, 51277, 51146, 51309, 51146, 51309, 51146, 51309, 50931, 51484, 50931, 51484, 50931, 51484, 51081, 51199, 51081, 51199, 51081, 51199, 56363, 74941, 74941, 55983, 77670, 77670, 51062, 64999, 51146, 50933, 51146, 50933, 51146, 55656, 79099, 79099, 51247, 56626, 50871, 63751, 63751, 74941, 75280, 75280, 67954, 67954, 67954, 76819, 64079, 64079, 57777, 51277, 50902, 51277, 50902, 51277, 50433, 51147, 50825, 51147, 50825, 51147, 69043, 51277, 50931, 51277, 50931, 70351, 51234, 51260, 50290, 51260, 50290, 53624, 50931, 66445, 66445, 63903, 51283, 50965, 51283, 50965, 51283, 50445, 51027, 50825, 51027, 50825, 51027, 74941, 74941, 74941, 63279, 63279, 63279, 63751, 63751, 63751, 56453, 60299, 60299, 50951, 54043, 59715, 59715, 50931, 52989, 50968, 66408, 66408, 51604, 50292, 50827, 51085, 50827, 51085, 68926, 51120, 51604, 50294, 51604, 50294, 54232, 50997, 74941, 74941, 56834, 50861, 51277, 50861, 51277, 50861, 51277, 51001, 51199, 51001, 51199, 51001, 51199, 55881, 50933, 51197, 50933, 51197, 50933, 66283, 66283, 66283, 50951, 51199, 50951, 51199, 50951, 51199, 56363, 74941, 74941, 73356, 68804, 68804, 76819, 52169, 50326, 52169, 50326, 57104, 51234, 50827, 51234, 50827, 51234, 67825, 51085, 50825, 51085, 50825, 51085, 70789, 65300, 65300, 77404, 77404, 77404, 59478, 59478, 59478, 66985, 66985, 66985, 55665, 51120, 50825, 51120, 50825, 51120, 73355, 66498, 66498, 68804, 68804, 68804, 60097, 60097, 60097, 53945, 51197, 50933, 51197, 50933, 51197, 50933, 50443, 50956, 51309, 50956, 51309, 50956, 51309, 55989, 63279, 63279, 63893, 60097, 60097, 75280, 64569, 64569, 65390, 51234, 52169, 50290, 52169, 50290, 51006, 55895, 51172, 50900, 51172, 50900, 51172, 50455, 50861, 60097, 60097, 67954, 51277, 50899, 51277, 50899, 66983, 50956, 73356, 73356, 50825, 55881, 50827, 51197, 50827, 51197, 50827, 50956, 50933, 50956, 50933, 50956, 50933, 56363, 74941, 74941, 63893, 63893, 63893, 73356, 68804, 68804, 60417, 51405, 51260, 50331, 51260, 50331, 52688, 51234, 50933, 51234, 50933 ]

[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 11, 230, 538, 6, 4246, 41, 21979, 8669, 8, 13305, 4, 20, 2125, 7630, 6568, 10, 4845, 119, 27633, 8, 1372, 5466, 6, 19, 17878, 9, 657, 8, 26545, 4, 85, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 5, 40286, 230, 8, 274, 8165, 5705, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 56546, 67661, 76640, 70197, 56919, 50900, 50846, 51085, 69245, 51581, 50296, 59662, 50876, 50841, 50968, 62088, 69730, 56788, 50900, 67885, 50813, 51085, 50833, 51315, 52729, 50902, 65615, 65039, 78858, 55900, 50899, 62221, 51537, 50294, 50810, 51050, 67973, 50931, 70248, 61420, 59815, 53401, 50899, 62221, 51609, 50294, 50810, 51050, 53140, 50968, 77358, 50839, 50968, 59304, 60949, 50916, 60924, 50813, 51315, 50854, 51026, 54678, 68355, 50951, 61687, 61381, 70455, 61930, 51689, 50296, 50844, 51026, 50833, 51601, 50877, 59903, 60982, 62141, 63144, 72503, 62154, 60701, 75198, 51377, 51027, 51377, 51247, 51295, 51050, 51295, 50876, 51285, 50931, 50918, 50999, 51103, 50876, 51184, 50931, 52017, 50999, 51696, 63669, 52885, 51059, 50419, 50877, 50908, 50876, 50891, 50931, 50891, 50877, 52666, 50316, 73990, 56423, 60879, 50791, 53578, 50877, 50928, 50876, 50908, 50931, 50908, 50877, 79986, 73990, 56914, 56973, 50877, 62055, 63665, 63665, 64052, 79783, 66445, 51066, 51339, 51932, 51146, 51072, 50871, 51029, 50931, 51761, 50902, 67396, 51331, 58976, 50877, 50870, 50902, 61324, 74197, 68992, 79783, 54220, 53785, 50877, 50908, 50902, 50863, 51247, 51537, 50297, 59772, 71608, 66445, 79783, 54897, 51636, 78201, 61324, 62869, 62141, 63144, 72503, 68992, 51653, 51247, 51159, 51050, 51159, 51062, 52297, 50333, 57055, 51745, 50876, 51472, 50931, 51291, 53005, 58772, 50877, 50908, 50931, 77112, 70202, 70202, 72503, 56423, 59587, 50791, 53851, 50877, 50908, 50877, 50870, 50876, 50870, 50931, 50891, 50876, 72503, 56423, 56721, 50877, 77112, 64743, 64743, 66445, 73990, 69666, 50803, 50999, 66728, 65066, 50806, 51279, 51734, 50301, 64019, 54589, 57859, 50877, 50908, 50876, 50891, 50931, 50908, 50877, 52666, 50316, 64743, 52640, 50321, 67652, 51033, 50951, 51045, 50861, 65036, 53736, 50877, 75653, 50928, 50931, 50982, 50877, 54191, 50316, 53529, 50321, 54191, 50316, 50882, 50931, 50950, 50871, 53936, 50304, 54065, 50817, 56229, 51933, 50902, 52017, 50415, 50906, 74943, 69686, 63665, 64052, 79783, 51604, 50290, 51134, 50997, 51134, 50931, 51218, 51081, 51141, 50902, 68488, 52282, 50951, 51352, 51081, 51585, 50997, 52266, 50861, 52442, 53005, 61993, 50906, 50928, 50902, 50908, 50931, 50982, 50906, 53529, 50318, 52666, 50321, 61315, 60879, 50791, 53578, 50906, 74572, 50870, 50931, 50891, 50906, 71608, 72503, 62774, 51551, 50899, 52282, 50791, 56973, 50906, 74943, 79163, 66548, 63665, 63144, 63699, 52195, 50871, 52266, 50816, 54589, 58976, 50906, 50908, 50902, 50908, 50902, 50891, 50931, 50908, 50906, 52666, 50321, 56914, 53785, 50906, 74572, 78226, 62774, 72503, 73990, 51954, 50285, 50878, 51050, 50878, 53583, 57512, 50906, 64237, 74197, 64134, 63699, 79783, 51604, 50290, 51109, 50997, 51109, 52963, 58772, 50906, 50870, 50902, 68520, 74197, 68992, 79783, 54220, 59587, 50791, 53851, 50906, 50870, 50902, 66876, 79929, 74197, 68992, 54220, 56721, 50906, 69771, 61666, 62675, 50809, 62419, 51146, 50833, 71702, 71774, 51081, 51033, 51146, 62054, 51194, 50871, 51124, 53492, 51400, 51234, 51400, 50997, 60959, 51091, 50816, 51331, 57859, 50877, 64559, 65147, 59772, 63287, 60982, 67144, 51682, 50301, 72474, 50808, 73568, 63558, 51062, 56022, 53736, 50861, 63484, 61549, 60102, 61752, 61339, 63271, 63297, 51689, 50299, 50810, 66736, 71829, 50997, 51056, 50843, 50961, 51601, 50877, 64911, 61540, 63700, 60982, 60982, 63144, 68992, 60365, 50940, 50877, 50921, 51050, 51173, 51027, 51192, 80237, 50871, 51363, 51247, 51241, 51050, 51241, 50931, 51127, 68275, 50999, 51047, 50931, 51655, 50999, 51264, 50876, 51307, 52963, 61993, 50877, 52666, 50313, 64743, 64743, 66445, 73990, 55181, 60879, 50791, 53578, 50877, 50908, 50876, 50870, 50931, 77112, 52666, 50316, 72503, 55181, 56973, 50877, 63700, 60982, 60982, 63144, 68992, 64052, 50803, 62721, 51339, 50882, 50871, 61818, 72712, 65678, 51331, 58976, 50877, 59903, 65301, 65301, 60553, 68992, 64052, 52640, 50329, 50811, 51339, 53819, 50309, 51033, 51028, 50823, 50931, 55589, 53785, 50877, 59903, 59086, 61666, 63144, 63699, 63144, 52640, 50280, 50844, 51085, 50844, 51146, 50950, 51339, 50950, 50871, 51033, 50902, 53936, 50321, 51138, 52963, 57512, 50877, 66731, 71808, 65147, 62869, 64052, 64052, 51483, 51062, 51379, 51339, 51379, 51247, 79972, 59782, 51745, 50931, 51541, 50876, 51541, 52963, 58772, 50877, 50908, 50876, 50863, 50931, 50863, 50877, 70202, 66445, 54220, 59587, 50791, 53851, 50877, 50908, 50876, 50870, 50931, 77112, 70202, 72503, 55181, 56721, 50877, 68917, 69666, 69666, 68992, 79783, 61316, 63720, 52035, 50325, 65066, 50975, 51279, 51267, 51027, 51267, 50816, 51331, 57859, 50877, 50908, 50876, 77112, 52666, 50316, 64743, 52640, 50321, 52666, 50321, 74623, 51033, 50951, 59021, 54589, 53736, 50877, 50982, 50877, 54191, 50316, 54191, 50316, 52666, 50321, 54191, 50321, 79986, 51045, 50931, 51045, 50900, 51505, 50871, 66363, 50817, 51601, 50906, 62378, 59086, 61666, 60553, 72503, 51764, 50290, 51351, 50997, 51351, 50931, 51295, 51081, 51218, 50902, 51218, 50906, 52827, 50951, 52827, 50931, 51161, 51081, 51161, 50902, 51161, 50997, 54055, 50861, 56769, 56464, 61993, 50906, 50908, 50902, 50891, 50906, 71608, 79783, 53529, 50321, 56914, 60879, 50791, 53578, 50906, 50928, 50906, 50908, 50902, 50908, 50902, 50870, 50931, 52666, 50321, 71608, 52195, 50899, 52282, 50791, 56973, 50902, 69686, 62823, 63665, 64052, 72503, 68992, 51274, 50871, 51685, 50816, 51331, 58976, 50906, 74572, 78226, 71608, 72503, 73990, 55181, 53785, 50906, 77367, 68520, 74197, 68992, 79783, 51604, 50285, 50878, 51050, 50878, 52358, 57512, 50902, 68520, 64237, 64134, 68992, 52666, 50321, 52081, 50290, 51807, 50302, 51003, 52963, 58772, 50906, 50908, 50902, 78226, 71608, 72503, 79783, 55181, 59587, 50791, 53851, 50906, 74572, 50891, 50906, 71608, 79783, 79783, 55181, 56721, 50871, 65633, 60762, 51804, 50326, 65982, 50844, 66768, 62419, 60158, 63009, 71216, 51081, 51045, 51146, 70717, 51345, 51234, 51109, 50997, 51109, 50997, 51157, 50816, 51331, 57859, 50871, 61123, 59772, 63287, 66393, 79969, 51682, 50301, 72474, 50800, 60124, 61133, 57947, 59855, 74104, 51062, 52744, 53736, 50871, 64470, 61549, 66813, 61549, 63947, 65633, 65818, 70274, 61339, 50844, 69084, 51026, 50925, 71829, 50997, 59156, 50817, 51601, 50877, 63700, 60365, 51121, 50871, 51309, 75640, 50871, 51411, 51050, 51734, 50285, 51191, 51050, 51191, 51027, 51204, 50931, 51127, 77113, 50999, 51127, 50931, 51036, 50999, 74183, 51655, 53005, 61993, 50877, 75653, 66876, 50863, 50877, 79986, 68992, 54220, 60879, 50791, 53578, 50877, 50891, 50876, 50863, 50877, 70202, 66445, 79783, 54220, 56973, 50877, 63700, 60982, 62780, 65615, 63699, 63144, 50803, 71550, 51062, 60246, 61818, 59223, 52677, 52715, 58976, 50877, 59903, 68218, 51764, 50317, 60553, 68992, 64052, 50803, 68768, 51339, 50950, 50871, 52035, 50317, 72712, 57036, 53785, 50877, 72680, 64911, 59086, 63144, 68992, 64052, 50803, 73261, 51339, 50882, 52206, 50878, 51085, 50878, 50871, 70105, 63037, 50911, 52620, 57512, 50876, 64911, 62055, 62869, 63144, 64052, 63144, 51653, 51247, 51312, 51050, 51312, 51062, 52530, 50333, 68669, 51745, 50876, 51661, 50931, 51472, 53005, 58772, 50877, 50863, 50876, 61324, 69666, 68992, 72503, 55316, 59587, 50791 ]

[ 0, 250, 15352, 30054, 5175, 2125, 19, 15855, 16882, 6, 4246, 10, 11739, 9, 38668, 11212, 6, 12280, 3275, 1725, 3109, 6, 3152, 6757, 6, 18558, 6, 8, 21072, 4, 8504, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 211, 119, 6, 274, 6, 163, 428, 6, 8, 274, 31473, 10, 33558, 8, 17627, 17274, 619, 6, 442, 24, 10686, 13, 822, 50, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 50799, 73931, 51413, 55523, 51103, 50913, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 50913, 54151, 54443, 77824, 52896, 57914, 51141, 53254, 59450, 53027, 53254, 51090, 50913, 52763, 53298, 77824, 54210, 60082, 51307, 58279, 53363, 55613, 53363, 52983, 53898, 74793, 63150, 53070, 50913, 52670, 50913, 54151, 50913, 52896, 50913, 53027, 50913, 52763, 50913, 54210, 74793, 50799, 73931, 51472, 55523, 51077, 50913, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 50913, 54151, 54443, 77824, 52896, 57914, 51364, 53254, 51141, 50913, 53027, 53298, 50896, 50913, 52763, 53514, 77824, 54210, 60082, 51655, 55613, 51264, 52983, 53363, 52509, 51469, 74793, 63150, 53070, 50913, 52670, 50913, 54151, 50913, 52896, 50913, 53027, 50913, 52763, 50913, 54210, 74793, 50799, 73931, 51472, 55523, 51077, 51105, 51285, 52471, 50894, 56141, 55121, 52535, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 52471, 50894, 56141, 78357, 54151, 54443, 77824, 52896, 57914, 51364, 53254, 60277, 51274, 53909, 50894, 59680, 78357, 53027, 53254, 51090, 50913, 52763, 53298, 77824, 54210, 60082, 51655, 58279, 53363, 55613, 53363, 52983, 53898, 50945, 51469, 52471, 50894, 56141, 56460, 50837, 63150, 53070, 52547, 50894, 55803, 56460, 52670, 50913, 54151, 52547, 50894, 55803, 56460, 52896, 50913, 53027, 52547, 50962, 55803, 56460, 52763, 50913, 54210, 52547, 50894, 55803, 56460, 50837, 50799, 73931, 51472, 55523, 51077, 51105, 51285, 52471, 50962, 56141, 56460, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 52471, 50894, 56141, 56460, 54151, 54443, 77824, 52896, 57914, 51294, 53254, 51141, 50953, 51274, 53909, 50894, 59680, 56460, 53027, 53298, 50896, 50913, 52763, 53514, 50806, 52471, 50894, 56141, 56460, 54210, 60082, 54454, 55613, 51264, 52983, 53363, 52509, 51469, 50945, 51469, 52547, 50894, 55803, 51014, 74793, 63150, 53070, 51676, 80144, 52670, 52317, 50879, 52547, 51692, 55803, 51677, 50913, 54151, 51676, 71099, 52896, 52317, 65129, 53027, 52317, 64585, 52763, 50913, 66222, 53146, 52863, 51982, 51294, 74793, 50799, 73931, 51472, 55523, 51077, 51105, 51285, 51938, 50875, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 51938, 50875, 54151, 54443, 77824, 52896, 57914, 51364, 53254, 60277, 51274, 51938, 50875, 53027, 53254, 51090, 50913, 52763, 53298, 50806, 51938, 50875, 54210, 60082, 51655, 58279, 53363, 55613, 53363, 52983, 53898, 50945, 51469, 74793, 51755, 53301, 53070, 50913, 52670, 52317, 50910, 51938, 50875, 54151, 50913, 52896, 52317, 50830, 51938, 50875, 53027, 50913, 52763, 51859, 50938, 51938, 50875, 54210, 51676, 51091, 74793, 50799, 73931, 51336, 55523, 51364, 51105, 51285, 51938, 50875, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 51938, 50875, 54151, 54443, 77824, 52896, 60082, 51364, 55523, 51226, 50945, 51226, 51938, 50875, 53027, 54443, 51055, 50913, 52763, 53514, 50921, 51938, 50875, 54210, 64770, 51655, 53254, 51264, 52983, 53363, 53514, 51469, 51096, 51469, 74793, 51755, 53301, 53070, 51676, 55065, 52670, 52317, 50879, 51938, 50875, 54151, 51676, 55065, 52896, 51982, 50948, 51938, 50875, 53027, 51829, 69046, 52763, 51938, 50875, 54210, 52317, 51356, 74793, 50799, 73931, 51472, 55523, 51077, 51105, 51285, 51938, 50875, 53070, 53514, 51274, 50913, 52670, 52983, 50896, 51938, 50875, 54151, 54443, 77824, 52896, 57914, 51364, 53254, 51141, 50953, 51274, 51938, 50875, 53027, 53298, 50896, 50913, 52763, 53514, 50806, 51938, 50875, 54210, 52317, 51227, 60082, 51655, 55613, 51264, 52983, 53363, 52509, 51469, 50945, 51469, 74793, 51755, 53301, 53070, 52317, 50910, 50913, 52670, 52317, 50879, 51938, 50875, 54151, 51676, 65129, 52896, 51982, 51192, 51938, 50875, 53027, 51829, 51060, 50913, 52763, 52317, 50924, 51938, 50875, 54210, 52317, 51013, 74793, 50799, 64770, 51472, 52983, 50896, 51096, 51285, 51938, 50875, 53070, 51859, 50830, 53293, 51226, 50913, 52670, 51982, 50808, 53514, 51160, 51938, 50875, 54151, 51982, 50808, 52983, 50806, 51262, 56460, 52896, 51982, 50795, 66208, 51336, 50927, 51196, 51938, 50875, 53027, 51829, 51048, 52983, 50889, 50913, 52763, 53254, 50889, 51938, 50875, 54210, 52317, 51016, 53298, 50805, 51250, 56460, 50837, 50799, 73931, 51472, 55523, 51077, 51105, 51285, 51938, 50875, 53070, 52463, 50910, 53514, 51274, 51250, 57793, 52670, 52983, 50896, 51938, 50875, 54151, 54443, 50806, 51513, 57793, 52896, 57914, 51364, 53254, 51141, 50953, 51274, 51938, 50875, 53027, 53298, 50896, 51250, 57793, 52763, 53514, 50806, 51938, 50875, 54210, 60082, 51655, 55613, 51264, 52983, 53363, 52509, 51469, 50945, 51469, 51262, 57793, 50837, 51755, 53301, 53070, 52317, 51215, 51262, 57793, 52670, 51938, 50875, 54151, 52317, 50807, 51262, 57793, 50837, 51658, 53301, 53027, 51859, 50800, 51262, 57793, 52763, 51859, 50840, 51676, 51346, 51938, 50875, 54210, 51262, 57793, 50837, 50799, 51859, 50821, 73931, 51472, 55523, 51472, 51105, 51285, 51938, 50875, 53070, 53514, 51226, 51250, 57793, 52670, 52983, 50896, 51938, 50875, 54151, 54443, 51192, 51513, 57793, 52896, 60082, 51294, 55613, 51226, 50945, 51274, 51938, 50875, 53027, 52983, 50980, 51262, 57793, 52763, 52509, 50936, 51938, 50875, 54210, 57914, 51655, 53254, 51264, 53298, 51264, 53514, 51469, 50953, 51469, 51250, 57793, 50837, 51755, 53301, 53070, 51676, 50858, 51250, 57793, 52670, 52317, 50893, 51938, 50875, 54151, 51676, 50859, 51250, 53301, 54034, 51250, 59266, 51982, 50936, 51195, 55024, 53301, 53027, 51829, 50948, 51250, 57793, 52763, 51195, 55461, 53301, 54210, 52317, 51362, 51223, 57793, 50837, 50799, 73931, 51472, 55523, 51077, 51105, 51285, 51436, 55461, 53301, 53070, 53514, 51274, 51436, 56460, 52670, 52983, 50896, 51938, 50875, 54151, 54443, 50806, 51436, 56460, 52896, 57914, 51294, 53254, 51141, 50953, 51274, 51938, 50875, 53027, 53298, 50896, 51436, 56460, 52763, 53514, 50806, 51938, 50875, 54210, 60082, 54454, 55613, 51264, 52983, 53363, 52509, 51469, 50945, 51469, 51436, 57793, 50837, 79255, 50948, 51938, 50875, 53070, 52317, 50830, 51262, 57793, 52670, 52317, 50879, 51938, 50875, 54151, 51676, 50858, 51262, 56460, 52896, 51982, 51286, 51938, 50875, 53027, 51829, 51111, 51262, 56460, 52763, 52317, 50952, 51938, 50875, 54210, 52317, 51977, 51262, 56460, 50837, 50799, 55523, 51264, 53514, 51191, 51186, 51160, 51722, 51717, 51612, 51717, 52037, 51717, 52443, 51285, 51938, 50875, 53070, 54464, 51285, 50913, 52670, 53293, 51274, 51186, 50980, 52342, 51300, 51938, 50875, 54151, 53514, 51189, 52044, 51059, 50913, 52896, 51186, 50980, 52443, 51285, 51938, 50875, 53027, 54464, 51285, 50913, 52763, 53293, 51274, 51186, 50980, 52342, 51300, 51938, 50875, 54210, 53514, 51413, 52044, 51059, 74793, 50799, 50741, 50300, 51264, 51325, 50980, 52443, 51285, 51938, 50875, 53070, 54464, 51285, 50913, 52670, 53293, 51274, 51325, 51160, 52342, 51300, 51938, 50875, 54151, 53514, 51189, 52044, 51059, 50913, 52896, 51325, 50980, 52443, 51196, 51938, 50875, 53027, 52317, 51033, 54464, 51285, 50804, 54016, 52763, 52317, 50936, 53293, 50896, 76907, 52342, 50824, 57007, 54016, 54210, 52463, 51290, 53514, 50849, 78799, 52044, 51812, 52245, 50837, 52198, 50818, 50799, 53254, 51307, 53514, 50887, 53293, 50887, 54410, 51655, 50953, 51192, 52290, 51151, 53755, 51717, 52049, 51469, 52044, 50821, 52205 ]

[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 2214, 7630, 6568, 10, 25306, 5466, 6, 13869, 26545, 8, 22845, 41708, 4, 20, 2352, 6757, 8, 38668, 6820, 483, 5, 33301, 6, 2800, 30, 5, 364, 38537, 23225, 9, 2236, 1021, 2678, 29, 6, 18558, 10, 25118, 6, 8, 38668, 18569, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 8, 20307, 23, 41, 1614, 1073, 1020, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 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 ]

[ 57528, 50799, 55062, 50859, 52770, 50859, 53628, 50859, 56469, 50859, 60058, 50859, 57281, 50859, 56445, 50859, 54602, 59176, 57147, 50859, 51831, 50859, 53628, 50859, 56469, 50859, 60058, 50859, 57281, 50859, 55128, 50859, 56283, 54681, 54414, 51215, 51652, 51215, 52608, 51215, 56469, 51215, 60058, 51215, 56445, 51215, 54602, 51215, 55339, 51215, 50429, 54812, 50859, 52522, 50859, 52608, 50859, 56469, 50859, 60058, 50859, 56445, 50859, 57719, 50859, 55010, 53974, 53250, 50879, 52522, 50879, 52394, 50879, 56469, 50879, 60058, 50879, 54977, 50879, 57719, 50879, 54391, 55122, 54414, 51073, 51652, 51073, 52608, 51073, 56469, 51073, 60058, 51073, 56445, 51073, 54602, 51073, 55339, 69556, 54414, 50859, 51652, 50859, 52608, 50859, 56469, 50859, 60058, 50859, 56445, 50859, 54602, 50859, 55339, 59682, 54414, 50859, 51652, 50859, 52608, 50859, 56469, 50859, 60058, 50859, 56445, 50859, 54602, 50859, 55339, 54418, 53250, 51215, 52185, 51215, 52608, 51215, 56381, 51215, 57483, 51215, 56445, 51215, 56283, 51215, 54391, 51215, 70814, 54414, 50924, 52185, 50924, 52228, 50924, 56381, 50924, 57483, 50924, 55546, 50924, 56283, 50924, 55339, 57316, 53077, 51073, 52185, 51073, 51978, 51073, 56381, 51073, 57483, 51073, 55128, 51073, 56283, 51073, 54304, 69052, 53250, 51472, 52185, 51472, 52608, 51472, 56381, 51472, 57483, 51472, 56445, 51472, 56283, 51472, 54391, 51472, 50462, 53250, 51073, 51667, 51073, 51978, 51073, 54833, 51073, 56301, 51073, 55128, 51073, 55010, 51073, 54391, 51073, 50474, 53077, 51294, 52185, 51294, 51978, 51294, 55329, 51294, 57281, 51294, 55128, 51294, 56283, 51294, 54304, 51294, 70814, 53250, 50924, 52185, 50924, 52608, 50924, 55329, 50924, 57281, 50924, 56445, 50924, 56283, 50924, 54391, 57316, 54414, 51073, 51652, 51073, 52608, 51073, 55329, 51073, 57281, 51073, 56445, 51073, 54602, 51073, 55339, 69052, 57147, 51073, 51831, 51073, 52228, 51073, 55329, 51073, 57281, 51073, 55546, 51073, 55128, 51073, 56283, 69556, 54414, 51073, 51831, 51073, 52228, 51073, 55329, 51073, 57281, 51073, 55546, 51073, 55128, 51073, 55339, 51073, 50462, 57147, 51073, 51831, 51073, 53628, 51073, 55329, 51073, 57281, 51073, 57281, 51073, 55128, 51073, 56283, 51073, 50474, 55062, 51655, 52770, 51655, 53628, 51655, 56469, 51655, 60058, 51655, 57281, 51655, 56445, 51655, 54602, 51655, 51474, 50462, 55062, 50924, 52770, 50924, 53628, 50924, 56469, 50924, 60058, 50924, 57281, 50924, 56445, 50924, 54602, 50924, 50468, 57147, 50924, 51831, 50924, 53628, 50924, 56469, 50924, 60058, 50924, 57281, 50924, 55128, 50924, 56283, 50924, 50474, 54414, 51294, 51652, 51294, 52608, 51294, 56469, 51294, 60058, 51294, 56445, 51294, 54602, 51294, 55339, 51294, 70814, 54812, 50924, 52522, 50924, 52608, 50924, 56469, 50924, 60058, 50924, 56445, 50924, 57719, 50924, 55010, 57316, 53250, 51073, 52522, 51073, 52394, 51073, 56469, 51073, 60058, 51073, 54977, 51073, 57719, 51073, 54391, 69052, 54414, 51472, 51652, 51472, 52608, 51472, 56469, 51472, 60058, 51472, 56445, 51472, 54602, 51472, 55339, 51472, 50462, 54414, 50924, 51652, 50924, 52608, 50924, 56469, 50924, 60058, 50924, 56445, 50924, 54602, 50924, 55339, 50924, 50468, 54414, 50924, 51652, 50924, 52608, 50924, 56469, 50924, 60058, 50924, 56445, 50924, 54602, 50924, 55339, 50924, 50474, 53250, 51294, 52185, 51294, 52608, 51294, 56381, 51294, 57483, 51294, 56445, 51294, 56283, 51294, 54391, 51294, 70814, 54414, 50924, 52185, 50924, 52228, 50924, 56381, 50924, 57483, 50924, 55546, 50924, 56283, 50924, 55339, 57316, 53077, 51073, 52185, 51073, 51978, 51073, 56381, 51073, 57483, 51073, 55128, 51073, 56283, 51073, 54304, 69052, 53250, 51472, 52185, 51472, 52608, 51472, 56381, 51472, 57483, 51472, 56445, 51472, 56283, 51472, 54391, 51472, 50462, 53250, 50924, 51667, 50924, 51978, 50924, 54833, 50924, 56301, 50924, 55128, 50924, 55010, 50924, 54391, 50924, 50468, 53250, 50924, 51667, 50924, 51978, 50924, 54833, 50924, 56301, 50924, 55128, 50924, 55010, 50924, 54391, 50924, 50474, 53077, 51294, 52185, 51294, 51978, 51294, 55329, 51294, 57281, 51294, 55128, 51294, 56283, 51294, 54304, 51294, 70814, 53250, 50924, 52185, 50924, 52608, 50924, 55329, 50924, 57281, 50924, 56445, 50924, 56283, 50924, 54391, 57316, 54414, 51073, 52185, 51073, 52228, 51073, 55329, 51073, 57281, 51073, 55546, 51073, 56283, 51073, 55339, 69052, 56853, 51073, 51643, 51073, 52228, 51073, 55329, 51073, 57281, 51073, 55546, 51073, 54391, 51073, 62882, 69556, 53863, 51073, 51721, 51073, 52608, 51073, 55329, 51073, 57281, 51073, 56445, 51073, 55339, 51073, 55849, 51073, 50462, 53407, 51073, 52185, 51073, 52228, 51073, 55329, 51073, 57281, 51073, 55546, 51073, 56283, 51073, 56146, 51073, 50474, 53777, 51655, 51652, 51655, 52608, 51655, 56469, 51655, 60058, 51655, 56445, 51655, 54602, 51655, 56967, 51655, 51474, 50462, 53077, 50924, 51831, 50924, 53628, 50924, 55329, 50924, 57281, 50924, 57281, 50924, 55128, 50924, 54304, 50924, 50468, 53777, 50924, 51652, 50924, 53628, 50924, 55329, 50924, 57281, 50924, 57281, 50924, 54602, 50924, 56967, 50924, 50474, 53407, 51294, 52185, 51294, 52228, 51294, 55329, 51294, 57281, 51294, 55546, 51294, 56283, 51294, 56146, 51294, 70814, 53407, 50924, 52185, 50924, 52228, 50924, 55329, 50924, 57281, 50924, 55546, 50924, 56283, 50924, 56146, 57316, 53407, 51073, 52185, 51073, 52228, 51073, 55329, 51073, 57281, 51073, 55546, 51073, 56283, 51073, 56146, 69052, 53407, 51073, 52185, 51472, 52228, 51013, 55329, 51472, 55546, 51073, 56146, 51073, 57281, 51472, 56283, 51472, 50450, 53777, 51073, 52394, 51073, 54977, 51073, 56967, 51073, 50462, 53077, 51073, 52185, 51073, 53628, 51073, 55329, 51073, 57281, 51073, 57281, 51073, 56283, 51073, 54304, 51073, 50474, 53777, 51655, 51652, 51073, 53628, 51073, 56469, 51073, 60058, 51073, 57281, 51073, 54602, 51073, 56967, 51655, 51540, 52522, 51073, 53880, 51073, 56469, 51073, 60058, 51073, 57862, 51073, 57719, 69555, 52185, 51073, 52394, 51073, 56469, 51073, 60058, 51073, 54977, 51073, 56283, 69052, 51652, 51472, 53628, 51472, 56469, 51472, 60058, 51472, 57281, 51472, 54602, 51472, 50462, 53777, 50924, 51721, 50924, 52608, 50924, 55291, 50924, 56487, 50924, 56445, 50924, 55339, 50924, 56967, 50924, 50468, 53077, 50924, 51721, 50924, 52608, 50924, 55291, 50924, 56487, 50924, 56445, 50924, 55339, 50924, 54304, 50924, 50474, 53250, 51294, 52185, 51294, 52608, 51294, 56381, 51294, 57483, 51294, 56445, 51294, 56283, 51294, 54391, 51294, 70814, 53250, 50924, 52185, 50924, 52608, 50924, 56381, 50924, 57483, 50924, 56445, 50924, 56283, 50924, 54391, 57316, 53250, 51073, 52185, 51073, 52608, 51073, 56381, 51073, 57483, 51073, 56445, 51073, 56283, 51073, 54391, 69052, 53777, 51073, 51643, 51073, 52608, 51073, 56381, 51073, 57483, 51073, 56445, 51073, 54391, 51073, 56967, 69556, 53077, 51073, 51721, 51073, 52608, 51073, 56381, 51073, 57483, 51073, 56445, 51073, 55339, 51073, 54304, 51073, 50462, 53250, 51073, 52185, 51073, 52608, 51073, 56381, 51073, 57483, 51073, 56445, 51073, 56283, 51073, 54391, 51073, 50474, 54414, 51655, 51652, 51655, 52608, 51655, 56469, 51655, 60058, 51655, 56445, 51655, 54602, 51655, 55339, 51655, 51474, 50462, 54414, 50924, 51652, 50924, 52608, 50924, 56469, 50924, 60058, 50924, 56445 ]

[ 0, 713, 17627, 17274, 5175, 3152, 2214, 6, 278, 11, 5, 762, 9, 272, 538, 6, 1931, 21683, 10, 2365, 8, 33558, 16464, 4, 20, 3152, 6757, 1239, 5, 483, 6, 2800, 30, 2382, 3459, 8669, 6, 18558, 18046, 6, 38668, 11212, 6, 8, 3459, 9590, 6, 2351, 10, 15352, 30054, 8, 1313, 5466, 4, 590, 10, 7212, 20889, 9, 16970, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 5705, 25935, 1626, 227, 5, 40286, 1918, 406, 8, 211, 406, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50903, 56571, 76660, 56571, 51003, 60859, 64445, 50932, 51768, 56571, 76660, 64445, 50932, 51955, 56571, 51003, 64699, 51573, 51676, 51790, 51829, 51790, 52328, 51790, 51938, 51015, 51049, 55701, 51039, 51049, 50822, 50909, 50974, 50421, 53455, 50800, 55209, 50942, 52301, 50925, 51953, 55440, 51092, 51033, 51020, 75478, 63390, 78717, 51739, 57373, 72883, 52241, 50976, 53080, 51015, 51373, 51049, 50822, 58876, 50433, 53455, 50836, 51953, 50844, 55209, 51008, 52301, 58927, 55209, 50959, 51953, 50878, 51495, 54285, 55024, 51049, 55701, 63344, 50439, 51598, 51138, 53455, 50836, 52301, 50833, 51083, 57816, 51598, 50806, 53455, 50910, 52301, 50910, 55209, 50987, 51953, 50977, 51061, 72197, 65448, 53558, 55023, 52153, 51049, 50822, 50868, 53567, 51676, 51194, 51829, 51194, 52328, 51194, 59611, 51049, 51739, 55305, 72145, 51061, 58954, 51598, 51012, 53080, 51015, 51373, 51049, 50822, 50909, 64459, 53455, 50921, 55209, 50917, 52301, 50865, 51953, 50865, 51083, 50971, 61697, 51496, 51859, 51134, 51617, 51134, 51982, 51391, 54609, 51307, 52949, 51307, 51914, 51307, 51061, 51541, 51083, 69561, 52651, 55023, 51739, 51049, 62501, 51083, 50975, 51039, 51049, 50907, 50872, 50974, 50421, 51118, 50917, 53327, 50907, 51302, 51907, 51420, 51739, 63815, 51210, 50427, 51282, 52765, 50801, 52749, 65436, 51282, 50993, 51061, 51566, 51083, 50889, 53080, 51610, 52153, 51049, 54592, 50579, 55582, 71484, 51617, 51203, 50435, 51859, 51255, 50436, 51982, 54993, 51875, 51573, 52962, 51049, 50822, 60173, 53012, 57138, 51982, 50911, 51976, 51049, 54592, 50576, 72343, 73696, 55854, 50801, 52848, 51859, 50849, 77214, 51061, 70693, 54627, 56055, 51420, 50894, 51340, 55801, 50858, 57902, 50453, 51224, 51754, 51875, 50802, 51617, 50812, 51557, 51505, 53080, 56766, 66233, 53365, 50872, 56551, 51289, 50907, 59256, 51029, 51859, 51894, 51676, 51894, 52333, 51894, 51982, 51894, 54609, 51264, 53455, 51264, 53144, 51264, 51914, 51264, 51690, 52503, 54294, 58306, 51938, 51015, 51049, 55701, 50415, 51595, 50845, 51402, 51022, 51039, 51049, 50822, 50872, 71481, 51083, 50882, 51510, 55124, 51208, 51045, 51061, 50924, 50903, 63390, 78717, 51739, 55305, 51008, 50427, 51083, 50976, 51532, 55011, 52607, 50823, 53080, 51015, 51373, 51049, 50822, 60173, 50433, 51595, 50933, 51556, 55707, 51598, 51014, 51938, 51015, 51049, 55701, 50935, 50959, 50439, 51083, 50824, 51572, 57138, 51598, 50860, 51061, 66630, 55024, 55023, 53474, 51420, 51049, 51022, 60173, 51618, 55814, 51676, 54566, 78717, 51739, 50822, 55806, 50451, 51089, 50976, 51647, 51022, 50454, 52333, 57313, 51598, 52651, 53530, 53119, 51594, 51049, 50822, 58442, 50457, 51982, 50925, 69360, 52198, 51420, 51022, 50460, 52836, 50855, 64699, 51573, 51676, 51538, 51829, 51538, 52328, 51538, 51938, 51015, 68692, 61531, 56025, 51118, 57242, 53455, 51060, 55209, 51043, 52301, 51194, 51953, 62400, 51049, 50822, 50909, 50974, 50421, 51118, 55447, 51092, 51033, 51020, 75478, 63390, 78717, 51739, 57373, 51210, 50427, 51118, 56257, 52241, 50976, 53455, 51110, 55209, 51363, 52301, 51116, 51953, 51400, 53080, 51015, 51373, 51049, 50822, 58876, 50433, 51118, 51407, 51658, 55024, 51049, 55701, 63344, 50439, 51598, 73136, 51598, 50806, 51676, 51212, 55209, 51233, 53455, 51178, 52301, 51116, 51953, 51221, 51020, 65448, 53558, 55023, 52153, 51049, 50822, 50868, 53567, 52328, 51242, 59611, 51049, 51739, 55305, 55370, 51598, 51012, 55209, 50892, 53455, 50849, 52301, 50849, 51953, 50892, 53080, 51015, 51373, 51049, 50822, 50909, 64459, 51829, 50865, 61697, 51029, 51859, 50983, 51617, 50983, 51829, 50983, 51982, 50983, 54491, 51352, 51061, 51541, 51118, 69561, 52651, 55023, 51739, 55701, 50415, 51555, 51352, 51039, 51049, 50822, 50872, 50974, 50421, 52301, 50800, 54609, 50878, 52949, 50942, 51914, 50925, 51768, 78717, 51739, 57708, 72883, 51875, 51045, 51061, 51566, 51118, 50889, 53080, 51015, 58713, 52153, 51049, 50822, 58440, 50433, 52301, 50836, 54609, 50844, 52949, 51008, 51914, 58927, 51507, 50921, 54609, 50878, 52949, 50959, 51982, 64270, 52651, 51049, 55701, 60173, 50439, 52301, 50836, 51914, 54207, 51507, 51138, 52301, 50910, 51914, 50910, 54609, 50977, 52949, 50987, 51859, 70812, 52218, 51373, 51049, 50822, 50885, 53567, 51617, 51112, 51118, 50805, 51061, 70693, 76132, 78717, 51739, 55582, 72145, 54491, 50975, 50452, 51555, 59315, 51507, 50894, 51829, 50987, 53080, 51015, 51373, 51049, 50822, 59228, 50457, 52301, 50921, 54609, 50865, 52949, 50917, 51914, 50865, 60506, 50810, 59256, 51573, 55646, 50975, 51208, 50930, 51061, 53097, 55024, 51049, 55701, 50415, 51859, 51945, 51676, 51945, 52333, 51945, 51982, 51945, 51783, 50975, 51039, 51049, 50822, 50935, 50974, 50421, 51083, 61001, 51208, 50930, 51061, 55023, 63390, 78717, 51739, 55029, 51210, 50427, 55646, 50976, 71830, 51783, 60648, 51598, 50976, 54609, 50808, 53455, 50808, 53144, 50808, 51914, 52423, 53530, 51373, 51049, 50822, 58876, 50433, 51401, 72759, 54707, 50860, 51938, 51015, 51049, 55701, 50935, 70327, 51507, 51138, 51083, 51014, 52041, 56059, 51507, 50806, 54609, 50812, 53455, 50812, 53144, 50812, 51914, 50812, 51208, 74496, 58546, 55023, 52153, 51049, 50822, 60173, 50445, 55646, 50975, 51083, 51030, 50446, 51783, 50975, 72113, 51049, 51739, 55305, 72145, 51401, 56934, 51507, 51012, 54491, 51407, 53080, 51015, 51373, 51049, 50822, 50935, 64459, 51555, 51407, 61697, 51573, 51859, 51894, 51617, 51894, 51829, 51894, 51982, 51894, 51118, 51379, 51061, 51541, 51118, 69561, 52651, 55023, 51739, 55701, 78594, 51282, 62706, 51049, 50822, 50872, 50974, 51768, 78717, 51739, 57708, 51210, 50427, 51118, 60648, 51507, 50976, 54609, 50808, 52949, 50808, 52301, 50808, 51914, 50808, 51061, 51566, 51118, 50889, 51282, 51496, 53080, 51015, 58713, 52153, 51049, 50822, 50848, 57455, 50852, 50912, 51658, 52651, 51049, 55701, 60173, 50439, 51785, 73136, 51785, 50806, 54609, 50812, 52949, 50812, 52301, 50812, 51914, 53097, 68692, 50822, 50885, 53567, 51982, 50878, 54491, 50976, 51118, 50805, 51061, 70693, 76132, 78717, 51739, 55582, 72145, 51555, 50976, 50454, 51859, 57313, 51785, 51012, 53080, 51015, 51373, 51049, 50822, 59228, 50457, 51617, 50925, 60506, 63849, 51982, 50855, 59256, 51029, 52333, 51047, 51859, 51148, 51676, 51183, 51982, 51047, 55646, 50976, 51938, 51015, 51049, 55701, 51783, 50976, 51039, 51049, 50822, 50872, 56307, 51208, 51033, 51061, 75478, 63390, 78717, 51739, 55305, 51051, 50427, 55646, 50802, 51783, 52030, 51507, 51045, 54609, 50808, 53455, 50808, 53144, 50808, 51914, 52423, 53530, 51373, 51049, 50822, 60578, 50433, 51557, 51388, 50437, 54707, 52125, 51598, 50921, 51595, 50873, 51938, 51015, 51049, 55701, 50935, 50933, 52041, 52313, 51598, 51138, 54609, 50812, 53455, 50812, 53144, 50812, 51914, 50812, 51859, 51091, 51061, 68679, 50821, 51401, 58493, 55023, 52153, 51049, 50822, 60578, 50445, 55646, 74661, 51783, 58981, 51676, 51500, 59611, 51049, 51739, 55305, 62970, 51118, 52325, 51598, 50894, 52333, 50921, 54491, 51407, 51401, 50978, 53080, 51015, 51373, 51049, 50822, 59228, 51555, 51407, 61697, 51029, 51859, 51134, 51617, 51134, 51829, 51381, 51982, 51391, 54609, 51307, 52949, 51307, 52301, 51307, 51914, 51307, 51118, 51379, 51061, 51541, 51118, 69561, 52651, 55023, 51739 ]

[ 0, 713, 5175, 2214, 6, 19, 10, 11602, 9, 3495, 2712, 6, 16, 10, 15352, 30054, 8, 3366, 219, 15229, 14, 7630, 6568, 10, 1472, 9, 11098, 8, 980, 4, 27901, 10, 3152, 6757, 6, 2724, 368, 31365, 25999, 6, 3459, 9590, 6, 13305, 6, 8, 38668, 20535, 6, 5, 2125, 30853, 23, 41, 1614, 1073, 1020, 20889, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 24, 18, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 272, 119, 406, 6, 163, 428, 73, 347, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57528, 50796, 51601, 51050, 50983, 50418, 51027, 51091, 61683, 51091, 50423, 50871, 51112, 79143, 51291, 50428, 51028, 57345, 50931, 51091, 50445, 50999, 51605, 50446, 51399, 51605, 50447, 51339, 51605, 50458, 51814, 51358, 50459, 53684, 51358, 50460, 52956, 51358, 50796, 53975, 50818, 50956, 70215, 74360, 74359, 69811, 61130, 74360, 50818, 50964, 51351, 53857, 50820, 54888, 50820, 52464, 50820, 52685, 50820, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 54200, 51594, 62799, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 58745, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 53425, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 56651, 54196, 59225, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 59890, 50900, 69811, 61130, 74360, 50809, 50964, 50942, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 52784, 52633, 53574, 50900, 69811, 61130, 64122, 50809, 51443, 51562, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 51594, 59117, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 60520, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 53035, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 56651, 54444, 60632, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 60135, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 52784, 52633, 50836, 53975, 69811, 61130, 64122, 74564, 51351, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 51594, 62799, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 58745, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 52905, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 56651, 54444, 59225, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 56720, 50900, 69811, 61130, 64122, 50809, 63635, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 52633, 53574, 50900, 69811, 61130, 64122, 74564, 51295, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 51594, 59117, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 60520, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 53035, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 56651, 51575, 60632, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 57461, 50900, 69811, 61130, 64122, 74564, 50942, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 56332, 50897, 54206, 62060, 64122, 50809, 51096, 51295, 53367, 50813, 52804, 50813, 52685, 52784, 51594, 62799, 50899, 62060, 64122, 50809, 53367, 50813, 52804, 50813, 52685, 51559, 57466, 50899, 62060, 64122, 50809, 53367, 50813, 52804, 50813, 52685, 51559, 50836, 53337, 62060, 64122, 50809, 53367, 50813, 52804, 50813, 52685, 56651, 54196, 59225, 50899, 62060, 64122, 50809, 53367, 50813, 52804, 50813, 52685, 51559, 59890, 50899, 62060, 64122, 50809, 51096, 50942, 53367, 50813, 52804, 50813, 52685, 52784, 50930, 52093, 55203, 62060, 60191, 77537, 51295, 53857, 50813, 52804, 50813, 52197, 52784, 51594, 63954, 50900, 62060, 60191, 50809, 53857, 50813, 52804, 50813, 52197, 51559, 58275, 50900, 62060, 60191, 50809, 53857, 50813, 52804, 50813, 52197, 51559, 53886, 50900, 62060, 60191, 50809, 53857, 50813, 52804, 50813, 52197, 56651, 50921, 52093, 50454, 50900, 62060, 60191, 50809, 53857, 50813, 52804, 50813, 52197, 51559, 60135, 50900, 62060, 60191, 77537, 50942, 53857, 50813, 52804, 50813, 52197, 53800, 50836, 55435, 69584, 61130, 70979, 51295, 50953, 51183, 53774, 50813, 53367, 50813, 52464, 52784, 51594, 62799, 50997, 69584, 61130, 50809, 53774, 50813, 53367, 50813, 52464, 51559, 57466, 50997, 69584, 61130, 50809, 53774, 50813, 53367, 50813, 52464, 51559, 52905, 50997, 69584, 70215, 50809, 53774, 50813, 53367, 50820, 52464, 56651, 54196, 59225, 50997, 69584, 61130, 50809, 53774, 50813, 53367, 50813, 52464, 51559, 59890, 50997, 69584, 61130, 70979, 53454, 53774, 50813, 53367, 50813, 52464, 52784, 52633, 53574, 51086, 69584, 62060, 61130, 50809, 51205, 51295, 58353, 50813, 53367, 50813, 52804, 50813, 52464, 52784, 51594, 59117, 51086, 69584, 62060, 61130, 50809, 58353, 50813, 53367, 50813, 52804, 50813, 52464, 51559, 58275, 51086, 69584, 62060, 61130, 50809, 58353, 50813, 53367, 50813, 52804, 50813, 52464, 51559, 53035, 51086, 69584, 62060, 61130, 50809, 58353, 50813, 53367, 50813, 52804, 50813, 52464, 56651, 50921, 52093, 50454, 51086, 69584, 62060, 61130, 50809, 58353, 50813, 53367, 50813, 52804, 50813, 52464, 51559, 57461, 51086, 71415, 74494, 70215, 50818, 51205, 50977, 58353, 50820, 53367, 50820, 52804, 50820, 52464, 54200, 56332, 50897, 53975, 69811, 61130, 64122, 50809, 50964, 51351, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 51594, 62799, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 58745, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 53425, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 56651, 54444, 59225, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 59890, 50900, 69811, 61130, 74360, 50809, 50964, 50942, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 52784, 52633, 53574, 50900, 69811, 61130, 74360, 50809, 51443, 51295, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 52784, 51594, 63954, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 60520, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 53035, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 56651, 54444, 60632, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 51559, 60135, 50900, 69811, 61130, 74360, 70979, 52122, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 52784, 52633, 50836, 53975, 69811, 61130, 64122, 74564, 51295, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 51594, 62799, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 57466, 50900, 50818, 50956, 61130, 74360, 50809, 53857, 50820, 54888, 50813, 52464, 50820, 52685, 51559, 53425, 50900, 69811, 61130, 64122, 50809, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 56651, 54196, 59225, 50900, 69811, 61130, 74360, 50809, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 51559, 59890, 50900, 69811, 61130, 64122, 50809, 63635, 53857, 50813, 54888, 50813, 52464, 50813, 52685, 52784, 52633, 53574, 50900, 69811, 61130, 74360, 74564, 51295, 53857, 50813, 54888, 50813, 52464, 50820, 52685, 52784, 51594, 63954, 50900, 50818, 50956, 61130, 64122, 50809, 53857, 50820, 54888, 50813, 52464, 50813, 52685, 51559, 60520, 50900, 69811, 61130 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 11, 230, 538, 6, 4246, 13305, 6, 3459, 8669, 6, 21072, 6, 17465, 102, 6, 8, 21979, 9590, 4, 590, 10, 1769, 20889, 8, 10, 16331, 33215, 16739, 9, 272, 406, 6, 230, 6, 3676, 6, 1918, 6, 8, 230, 6, 24, 7630, 6568, 10, 12298, 1619, 5466, 3820, 19, 657, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58375, 50456, 51525, 52188, 51065, 50870, 52419, 51310, 51664, 54848, 51315, 52407, 50900, 52263, 50457, 51451, 53892, 51366, 54521, 51229, 53096, 51279, 54557, 50861, 52598, 51301, 52440, 51088, 52440, 51093, 53055, 50460, 50951, 52386, 50324, 50971, 51809, 51065, 52134, 73290, 50886, 55207, 55630, 59622, 50863, 51664, 53096, 51451, 53892, 51366, 54836, 51229, 53096, 50421, 62496, 50424, 76884, 63261, 50982, 52419, 50810, 50931, 53063, 51525, 51709, 51065, 50971, 51273, 51134, 52468, 53892, 51451, 53096, 51547, 53957, 51408, 53957, 51120, 52519, 50900, 54532, 50899, 52407, 50989, 52598, 51491, 53055, 51165, 53678, 51107, 53678, 55935, 50982, 50951, 61360, 51147, 50864, 60409, 73741, 50886, 54141, 55630, 59622, 50971, 52468, 53892, 51451, 53096, 51547, 53892, 51408, 53892, 72310, 57471, 79694, 51851, 51273, 50874, 76884, 50451, 50852, 69909, 51848, 50374, 66543, 63272, 50820, 52419, 50810, 50931, 51604, 50288, 56838, 51525, 51709, 51065, 51128, 51098, 51148, 51830, 54521, 52000, 53957, 51322, 56615, 51209, 54836, 51146, 50820, 51214, 51490, 51154, 52440, 55985, 50928, 51062, 67163, 51147, 50971, 58479, 51008, 50415, 50804, 53403, 50804, 58272, 50870, 51830, 53096, 52000, 52460, 51322, 53096, 51209, 53957, 50931, 52363, 50328, 50974, 72130, 56450, 51306, 63261, 57282, 74572, 51962, 50328, 59982, 50816, 58810, 50366, 53635, 50891, 51461, 51318, 53046, 53161, 52000, 53096, 51366, 53892, 51674, 53892, 51085, 52263, 50997, 54557, 50900, 52263, 50916, 52263, 51301, 53055, 51375, 52440, 51093, 53055, 50435, 50876, 60591, 52013, 77623, 56061, 51129, 74933, 67635, 51224, 50371, 66543, 57282, 54087, 50928, 62177, 50375, 66543, 50982, 54032, 50891, 53046, 53096, 52000, 53892, 51366, 53892, 51674, 53892, 50876, 59957, 71363, 50448, 50816, 50367, 51985, 50863, 57688, 50863, 51461, 50810, 50931, 50839, 59986, 50365, 52082, 59713, 51206, 53553, 51978, 51538, 51525, 51806, 51140, 51535, 52286, 54521, 51664, 53957, 51451, 54836, 51256, 54836, 51027, 52503, 50900, 51748, 50871, 51671, 53069, 52286, 52460, 55207, 57526, 50870, 51664, 53096, 51451, 53096, 51256, 53957, 50427, 60707, 50431, 51525, 51806, 51140, 51047, 52286, 53161, 50432, 51664, 52460, 51451, 53892, 51256, 53096, 50439, 51848, 52134, 62177, 55630, 50891, 52286, 52460, 50444, 51979, 50889, 51664, 53892, 51451, 53892, 51256, 53892, 50455, 52172, 51446, 51050, 51748, 50900, 51922, 50871, 52727, 50456, 51525, 51806, 51140, 51047, 52286, 53096, 51664, 53096, 51451, 54521, 51256, 53892, 53069, 50804, 55630, 50908, 52286, 54521, 50420, 51664, 53892, 51451, 53892, 51256, 53892, 50426, 52380, 51095, 50431, 51525, 51806, 51140, 51047, 52286, 54521, 50432, 51664, 53096, 51451, 53892, 51256, 54521, 50433, 52833, 51157, 50439, 50816, 51129, 50900, 53674, 50443, 53493, 69362, 55630, 50891, 52286, 52460, 50444, 51664, 53892, 51451, 53892, 51256, 54836, 50451, 53625, 51991, 50455, 51525, 51709, 52419, 51535, 52733, 54521, 50916, 52503, 50877, 52727, 50456, 51664, 53892, 51451, 56615, 51366, 54836, 51027, 55490, 51315, 51748, 50900, 51922, 50916, 52727, 51601, 60707, 50419, 50804, 55147, 50870, 52733, 52460, 50420, 51664, 53892, 51451, 54836, 51366, 53096, 77627, 79956, 51525, 51709, 52419, 51411, 52733, 53892, 51664, 53096, 50432, 51451, 53957, 51366, 52048, 50439, 51848, 51832, 50443, 52380, 64392, 55147, 50870, 51493, 51109, 52733, 53726, 51664, 53892, 51085, 68886, 50444, 51451, 53096, 51366, 53892, 50446, 51027, 55584, 50449, 50900, 52192, 50451, 52172, 51264, 50453, 50916, 67010, 51525, 51806, 50852, 50366, 51367, 51258, 52419, 50829, 52733, 54719, 51273, 51535, 51322, 54836, 51664, 54848, 51256, 54836, 51027, 52503, 50899, 51748, 50871, 51671, 53069, 50843, 54538, 50863, 51664, 53161, 50420, 51322, 53096, 51256, 53957, 50431, 51525, 51806, 52419, 51148, 51664, 52482, 50432, 51322, 53892, 51256, 53096, 62177, 55630, 50891, 51664, 53892, 50444, 51322, 53892, 51256, 53892, 50447, 50871, 51524, 50451, 50816, 51129, 51027, 52731, 50455, 52833, 50889, 51525, 51806, 51140, 51535, 52286, 53096, 51664, 53096, 51050, 52720, 50900, 53201, 50871, 54373, 50456, 51451, 54521, 51256, 53892, 53069, 52380, 55506, 55630, 50908, 52286, 54521, 51664, 53892, 50420, 51451, 53892, 51256, 53892, 50430, 52172, 50889, 50431, 51525, 51806, 51140, 51047, 52286, 54521, 51664, 53096, 50432, 51451, 53892, 51256, 54521, 50439, 50816, 51129, 50900, 58651, 50442, 51978, 50889, 62177, 55630, 50891, 52286, 52460, 51664, 53892, 51451, 53892, 50444, 51256, 54836, 50454, 52833, 50889, 50455, 51525, 51709, 51140, 51145, 52286, 54521, 51664, 53892, 51451, 56615, 50871, 52503, 50877, 52727, 50456, 51256, 54836, 51601, 60707, 50418, 52380, 50889, 50419, 50804, 55147, 50870, 52286, 52460, 51664, 53892, 51451, 54836, 50420, 51256, 53096, 77627, 51129, 50430, 52172, 51157, 50431, 51525, 51709, 51140, 51411, 52286, 53892, 51664, 53096, 51451, 53096, 50432, 51256, 52048, 50443, 51978, 69362, 55147, 50870, 51461, 51109, 52286, 53726, 51664, 53892, 51451, 53096, 51085, 68886, 50444, 51256, 53892, 50446, 51027, 55584, 50449, 50900, 52192, 50451, 52491, 53090, 50452, 50871, 67010, 51525, 51806, 50852, 50366, 51367, 51258, 51461, 51535, 51830, 53096, 52000, 54836, 51026, 52503, 50997, 51748, 50456, 51366, 54836, 50916, 51671, 53069, 50804, 57526, 50870, 51830, 53161, 52000, 53096, 50420, 51366, 53957, 50431, 51525, 51806, 51098, 51148, 51830, 52482, 52000, 53892, 51085, 56004, 50432, 51366, 53096, 50439, 50997, 55844, 50861, 55844, 62177, 55630, 50891, 51830, 53892, 52000, 53892, 50444, 51366, 53892, 50451, 50816, 76344, 51525, 51806, 51461, 51047, 51830, 53161, 52000, 54521, 51366, 53892, 51026, 52720, 50997, 53201, 50916, 54373, 50459, 51848, 52514, 51601, 51848, 76706, 50804, 55630, 50908, 51830, 53892, 52000, 53892, 51366, 53892, 77627, 79956, 51525, 51806, 51098, 51157, 51830, 53096, 52000, 53892, 51366, 54521, 50438, 52436, 51204, 50439, 50852, 50982, 62177, 55630, 52611, 51830, 53892, 52000, 53892, 51366, 53892, 50447, 51150, 69305, 75805, 51098, 68681, 52172, 50889, 50455, 51525, 51709, 51461, 51148, 51830, 53892, 52000, 56615, 51366, 54836, 52177, 51979, 51346, 50419, 50804, 55147, 50870, 51830, 53892, 52000, 54836, 51366, 53096, 50431, 51979, 50889, 51525, 51709, 51098, 51047, 51830, 53096, 52000, 53957, 51366, 52048, 50438, 51848, 51832, 50443, 52891, 69167, 54538, 50825, 51830, 53726, 52000, 53096, 51366, 53892, 60309, 51258, 50451, 51979, 51623, 50816, 76344, 51525, 51806, 50852, 50366, 51367, 51258, 51461, 51535, 51830, 53096, 52000, 54836, 51366, 54836, 51026, 52503, 50997, 51748, 50916, 51671, 53069, 50804, 57526, 50870, 51830, 53161, 52000, 53096, 51366, 53957, 50430, 51098, 51148, 51085, 51703, 50431, 51525, 51806, 51830, 52482, 52000, 53892, 51366, 53096, 50437, 52833, 51204, 50439, 50997, 51961, 50861, 51961, 55258, 60362, 50843, 50891, 51830, 53726, 52000, 53892, 51366, 53892, 50450, 53625, 58895, 51129, 50454, 52833, 50889, 50455, 51525, 51806, 51140, 51535, 52286, 53096, 51664, 53096, 51451, 54521, 51256, 53892, 51050, 52720, 50900, 53201, 50871, 54373, 52478, 52380, 60503, 55630, 50908, 52286, 54521, 50419, 51664, 53892, 51451, 53892, 51256, 53892, 50430, 53319, 50889, 51525, 51806, 51140, 51047, 52286, 54521, 50431, 51664 ]

[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 4246, 10, 32017, 816, 10, 19448, 8, 5679, 26709, 33301, 11, 5, 762, 9, 272, 3694, 4, 20, 2214, 16, 11, 155, 73, 176, 86, 6543, 8, 34, 10, 7212, 20889, 9, 8783, 13410, 228, 2289, 4, 20, 1049, 33215, 16739, 10726, 9, 211, 119, 6, 230, 6, 163, 428, 6, 274, 6, 8, 272, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57530, 50449, 50725, 50299, 52297, 50299, 59731, 56783, 50896, 56783, 50896, 61167, 50896, 61453, 51013, 61453, 70022, 50896, 50461, 76568, 51013, 62582, 51054, 57894, 51016, 57894, 52530, 50297, 68669, 51054, 50799, 56048, 51054, 56048, 51054, 50425, 50725, 50295, 51235, 61453, 50980, 61453, 50980, 51197, 72104, 62699, 51235, 62699, 51235, 56783, 51500, 50861, 51500, 50437, 50725, 50295, 51158, 51197, 76013, 56783, 51527, 61453, 51941, 61453, 51941, 50861, 51527, 50439, 62699, 51336, 62699, 51336, 50443, 76568, 51442, 50297, 50879, 50449, 50725, 50299, 64325, 50879, 50455, 50725, 50301, 51158, 51027, 51158, 50461, 55093, 51167, 55093, 51167, 50799, 62582, 51388, 73407, 68669, 51388, 50997, 51013, 50419, 56783, 51192, 50861, 51192, 50420, 62699, 51173, 62699, 51173, 50425, 57894, 51286, 56048, 50896, 56048, 60599, 78591, 55496, 50806, 55496, 50806, 76568, 52297, 50297, 51013, 50431, 56783, 51354, 50861, 75123, 62699, 50806, 62699, 76505, 61453, 51055, 61453, 65294, 62582, 51286, 55093, 51286, 55093, 51286, 73407, 51345, 50871, 51286, 50997, 75665, 80014, 51158, 56048, 51192, 56048, 51192, 50956, 65458, 62699, 51192, 62699, 51192, 73407, 50889, 61453, 51054, 61453, 53531, 50302, 50889, 50451, 62582, 51541, 50871, 51541, 50457, 55093, 51192, 55093, 51192, 50799, 50725, 50295, 51077, 51197, 78034, 62699, 51551, 62699, 51551, 80014, 51356, 56783, 51336, 56783, 51336, 50956, 51356, 50449, 56783, 51167, 50861, 69560, 50725, 50295, 50991, 61453, 51235, 61453, 51235, 62699, 51235, 62699, 51235, 51197, 50991, 50461, 62699, 51013, 62699, 51013, 50799, 61453, 51238, 61453, 51238, 56783, 51090, 50725, 50295, 55890, 53177, 50295, 52910, 73407, 50807, 55093, 51090, 55093, 51090, 62582, 50896, 61453, 50807, 61453, 65757, 57055, 53585, 67349, 51013, 80014, 50896, 56048, 51016, 56048, 51016, 56783, 51941, 56783, 51941, 50900, 52297, 50307, 54526, 50725, 50299, 51016, 61453, 50896, 61453, 50896, 61167, 51958, 50299, 75677, 50896, 50799, 80014, 50893, 56048, 51192, 56048, 51192, 67349, 51235, 50956, 72502, 51235, 50419, 61167, 77506, 57487, 55093, 50911, 55093, 50911, 50425, 67349, 51192, 50900, 68114, 62699, 50911, 62699, 50911, 67349, 51090, 56783, 50896, 56783, 74198, 64049, 56048, 51173, 56048, 51173, 73407, 51167, 50997, 68765, 55496, 50806, 55496, 50806, 57894, 50980, 57894, 50980, 50439, 67349, 50896, 76568, 51336, 50900, 51958, 50297, 51336, 50443, 62699, 51192, 62699, 66070, 55093, 51286, 55093, 51286, 50451, 62582, 51090, 57894, 51294, 57894, 51294, 50871, 63962, 56048, 51215, 56048, 51215, 51601, 50725, 50299, 51356, 51026, 51356, 50416, 61167, 51285, 56783, 51336, 56783, 51336, 61453, 51196, 61453, 51196, 50899, 68660, 50725, 50299, 50896, 61167, 53177, 50299, 68993, 51090, 50451, 56783, 51235, 56783, 51235, 61453, 51016, 61453, 51016, 50461, 80014, 52297, 50307, 51013, 50799, 50725, 50292, 51215, 56048, 51160, 56048, 51160, 51085, 51215, 50415, 56783, 51235, 56783, 51235, 50425, 67349, 50896, 50725, 50292, 70514, 51958, 50292, 60823, 56783, 51175, 56783, 51175, 56048, 50896, 56048, 50896, 50437, 55093, 51356, 55093, 51356, 50725, 50299, 51336, 73407, 51336, 51026, 51336, 50997, 74814, 56783, 51364, 56783, 51364, 50455, 57894, 51192, 57894, 51192, 50461, 61453, 51090, 61453, 51090, 59412, 50725, 50300, 52297, 50300, 60823, 56048, 51345, 56048, 51345, 80014, 50896, 56048, 51013, 56048, 52297, 50307, 50896, 50437, 76568, 51175, 62582, 51500, 51050, 51175, 50871, 51500, 50438, 56048, 50980, 56048, 50980, 75081, 51016, 75081, 58833, 62582, 51500, 62582, 51500, 56048, 50896, 56048, 50896, 76568, 50807, 62582, 53531, 50297, 57055, 51054, 50461, 73407, 50918, 50997, 50918, 50799, 62582, 50806, 62582, 50806, 55093, 50806, 55093, 50806, 61167, 51196, 50899, 62002, 56048, 50806, 56048, 50806, 80014, 51192, 80014, 68114, 62582, 50806, 62582, 50806, 55093, 50806, 55093, 50806, 50431, 56783, 51173, 56783, 51173, 62699, 51192, 62699, 51192, 50438, 57894, 50893, 57894, 50893, 55496, 51238, 55496, 51238, 50443, 61453, 50893, 61453, 50893, 50449, 67349, 51016, 56048, 51343, 56048, 51343, 50900, 58833, 76568, 50967, 55496, 51274, 55496, 51274, 51050, 50967, 50461, 76568, 51215, 62582, 51345, 51050, 51215, 50871, 51345, 53069, 61453, 51388, 61453, 51388, 62699, 51286, 62699, 51286, 50425, 76568, 50807, 62582, 53751, 50297, 57055, 75190, 57894, 50806, 57894, 50806, 55093, 50806, 55093, 50806, 50431, 56783, 51286, 56783, 68141, 56048, 51192, 56048, 51192, 50437, 73407, 51111, 61167, 51958, 50302, 51111, 50899, 53585, 55093, 51090, 55093, 51090, 62582, 51016, 62582, 61726, 50725, 50301, 72136, 77534, 50725, 50299, 50879, 62699, 51496, 62699, 51496, 51026, 55149, 56783, 51227, 56783, 51227, 73407, 52297, 50302, 51013, 50455, 76568, 51173, 51050, 51173, 50461, 67349, 51336, 50900, 51336, 50799, 50725, 50295, 50896, 56783, 50807, 56783, 50807, 51197, 50896, 50419, 55093, 50911, 55093, 50911, 50425, 56048, 51551, 56048, 51551, 50426, 50725, 50300, 52530, 50300, 51016, 50427, 62582, 50896, 62582, 53585, 50725, 50299, 50918, 61167, 51196, 51026, 65842, 51196, 50439, 56783, 51551, 56783, 51551, 50451, 61356, 50896, 61356, 50896, 50799, 50725, 50292, 51077, 51085, 78034, 56048, 51356, 56048, 51356, 67349, 51356, 80014, 51356, 80014, 51356, 50900, 51356, 50450, 50725, 50299, 51016, 61167, 51016, 56783, 50896, 56783, 50896, 61453, 51016, 61453, 52530, 50299, 75677, 51016, 50799, 76568, 51013, 62582, 51090, 56048, 51090, 56048, 51090, 57894, 51294, 57894, 51294, 51050, 68669, 67566, 50725, 50295, 51238, 56783, 51238, 61453, 51227, 61453, 51227, 62699, 51227, 62699, 51227, 51197, 51238, 50861, 71889, 50725, 50295, 50879, 56783, 51336, 51197, 56135, 51336, 50439, 62699, 51196, 62699, 51196, 61453, 51941, 61453, 51941, 50443, 76568, 51442, 50297, 50879, 50449, 50725, 50299, 62352, 72670, 50725, 50301, 51158, 51027, 51158, 50461, 62582, 51286, 55093, 51286, 55093, 51286, 50871, 51286, 50799, 73407, 52297, 50302, 51013, 50419, 56783, 50879, 62699, 50806, 62699, 56294, 50879, 50425, 55496, 51192, 55496, 51192, 56048, 51013, 56048, 60823, 57894, 50849, 76568, 53177, 50313, 51519, 50297, 51090, 50431, 62699, 51286, 62699, 68141, 56783, 51192, 50861, 51192, 50437, 61453, 51227, 61453, 76713, 62582, 51192, 55093, 51192, 55093, 51192, 73407, 51345, 50871, 51192, 50997, 75665, 80014, 51173, 56048, 51173, 56048, 51173, 50956, 65399, 62699, 51192, 62699, 51192, 73407, 51013, 62582, 50896, 61453, 51016, 61453, 52530, 50302, 68669, 57024, 55093, 51215, 55093, 51215, 50799, 56783, 51356, 56783, 51356, 50415, 80014, 51196, 62699, 51196, 62699, 51196, 50725, 50295, 72424, 51196, 51197, 56811, 56783, 51215, 50725, 50295, 51238, 61453, 51160, 61453, 51160, 62699, 50991, 62699, 50991, 50861, 51215, 51197, 51238, 50799, 61453, 51345, 61453, 51345, 50725, 50295, 50807, 62699, 51013, 62699, 51013, 56783, 52297, 50295, 55890, 51013, 50425, 55093, 51016, 55093, 61649, 73407, 50889, 62582, 51090, 61453, 51013, 61453, 52297, 50302, 59428, 63418, 67349, 51013, 80014, 50896, 56048, 51016, 56048, 51016, 56783, 52369, 56783, 52369, 50900, 52297, 50307, 54526, 50725, 50299, 50914, 61453, 50896, 61453, 50896, 61167, 52530, 50299, 64815, 51016, 50799, 80014, 51158, 56048, 51192, 56048, 51192, 67349, 51095 ]

[ 0, 250, 33928, 8, 33558, 3495, 2214, 4246, 41, 10170, 1499, 6, 21072, 6, 20535, 2810, 6, 326, 5638, 18026, 6, 8, 2342, 4467, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 4, 20, 33301, 29769, 198, 5, 40286, 163, 8, 381, 6, 2351, 10, 2365, 8, 1619, 12, 3341, 5466, 11, 5, 762, 9, 163, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51553, 55138, 51553, 55133, 51553, 52639, 51224, 52975, 51224, 53908, 51289, 53442, 51289, 55201, 53242, 50818, 51888, 50883, 52384, 50884, 63668, 50839, 51396, 68769, 51158, 50868, 51158, 51019, 51100, 57770, 57900, 56803, 52616, 51888, 50880, 52384, 50887, 63668, 69484, 54028, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51281, 69901, 78424, 59248, 52330, 52396, 51648, 50880, 52058, 50887, 56200, 50862, 51396, 50887, 51042, 66636, 50887, 51019, 54690, 55079, 53242, 50818, 51666, 50818, 52310, 50880, 53175, 50887, 55639, 69268, 51073, 50992, 51073, 51205, 51159, 57770, 54763, 69979, 59163, 52330, 52349, 52310, 50880, 53175, 50887, 55639, 50378, 52272, 54359, 52489, 50880, 53542, 50887, 54051, 56192, 54741, 50820, 51281, 69901, 78424, 57747, 52330, 50818, 50799, 52851, 50880, 56173, 50887, 52433, 66649, 55138, 51888, 50880, 52384, 50887, 63668, 50862, 51396, 51158, 51042, 51158, 50868, 51158, 51019, 51100, 57770, 54121, 58516, 53242, 50818, 51666, 52432, 51888, 50880, 52384, 50887, 63668, 69484, 53744, 53242, 50818, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51281, 69901, 78424, 52329, 52330, 50818, 51648, 50880, 52058, 50887, 56200, 50862, 51396, 50884, 51042, 66636, 50887, 51019, 54690, 54660, 52310, 50880, 51648, 50883, 53175, 50887, 52058, 50884, 55639, 50862, 56200, 65289, 51345, 50992, 51073, 51205, 51162, 57770, 54763, 69979, 59971, 51666, 50818, 53242, 52209, 52330, 50818, 52310, 50880, 53175, 50887, 55639, 50378, 52272, 53908, 52489, 50880, 53542, 50887, 54051, 56192, 54741, 50820, 51281, 69901, 78424, 52444, 52851, 50880, 56173, 50887, 52433, 66649, 54704, 52368, 50818, 51908, 50818, 52578, 51160, 52698, 51238, 71752, 51255, 50946, 51158, 51017, 51158, 50868, 51158, 51069, 51100, 57770, 54121, 52616, 51236, 54028, 50852, 56124, 50820, 51089, 62194, 76959, 52555, 52393, 50818, 51888, 50880, 52384, 50887, 63668, 75096, 50887, 51017, 66636, 50887, 51069, 54690, 55079, 52368, 50809, 51908, 61658, 51345, 50850, 51345, 70092, 57770, 54763, 69979, 53173, 52393, 50818, 52425, 50880, 52701, 50887, 58088, 50378, 52272, 54359, 52578, 50880, 52698, 50887, 71752, 50862, 51011, 65110, 54741, 50820, 51089, 62194, 76959, 57747, 52393, 50818, 50799, 51888, 50880, 52384, 50887, 63668, 66649, 55138, 52368, 50818, 50946, 51158, 51017, 51158, 50868, 51215, 51069, 50897, 57770, 54121, 58516, 51908, 58100, 52393, 52628, 52425, 50880, 52701, 50887, 58088, 69484, 53744, 52578, 50880, 52698, 50887, 71752, 50862, 51228, 65110, 56124, 50820, 51089, 62194, 76959, 52329, 52393, 50818, 51888, 50880, 52384, 50887, 63668, 75096, 50887, 51017, 66636, 54898, 54660, 57813, 58131, 51345, 50850, 51345, 68030, 57770, 54763, 69979, 52927, 54399, 62284, 53908, 52368, 50809, 51228, 57383, 54741, 50820, 51089, 62194, 76959, 58291, 54399, 52444, 51240, 54704, 53242, 50818, 51888, 50880, 52384, 50887, 63668, 50862, 51396, 68769, 51158, 50868, 51158, 51019, 51100, 57770, 54121, 52616, 51888, 50821, 52384, 50859, 63668, 60806, 54028, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51281, 69901, 78424, 52555, 52330, 50818, 51648, 50880, 52058, 50887, 56200, 50862, 51396, 50884, 51042, 66636, 50887, 51019, 54690, 55079, 51908, 50818, 52310, 50880, 53175, 50887, 55639, 69268, 51345, 50992, 51345, 51205, 51162, 57770, 54763, 69979, 53173, 52310, 50821, 53175, 50859, 55639, 50378, 52638, 54359, 52489, 50880, 53542, 50887, 54051, 56192, 54741, 50820, 51281, 69901, 78424, 50809, 50799, 52851, 50880, 56173, 50887, 52433, 66649, 55138, 51888, 50883, 52384, 50884, 63668, 50839, 51396, 68769, 51158, 50868, 51158, 51019, 51100, 57770, 54121, 58516, 51908, 52432, 52330, 50818, 51888, 50880, 52384, 50887, 63668, 69484, 53744, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51281, 69901, 78424, 52329, 52330, 50818, 51648, 50880, 52058, 50887, 56200, 50862, 51396, 50887, 51042, 66636, 50887, 51019, 54690, 54660, 52310, 50880, 53175, 50887, 55639, 69268, 51238, 50992, 51238, 51205, 51162, 57770, 54763, 69979, 52927, 52330, 50818, 52310, 50880, 53175, 50887, 55639, 50378, 52272, 53908, 51666, 50809, 52489, 50880, 53542, 50887, 54051, 56192, 54741, 50820, 51281, 69901, 78424, 52444, 51908, 50818, 52851, 50880, 56173, 50887, 52433, 66649, 54704, 52368, 50809, 51913, 50880, 53093, 50887, 53297, 75096, 60709, 50952, 50850, 50952, 51069, 50897, 58596, 69456, 76959, 53401, 51224, 75534, 53563, 51553, 50883, 52177, 51224, 54579, 51224, 52639, 51224, 52927, 51224, 54986, 51289, 53442, 51289, 55201, 54399, 50830, 51888, 50880, 52384, 50887, 63668, 50862, 51396, 68769, 51158, 50868, 51158, 51019, 51100, 57770, 57900, 56803, 58780, 52330, 52210, 51888, 50880, 52384, 50887, 63668, 69484, 54028, 51666, 50818, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51281, 69901, 78424, 52555, 52330, 50818, 51648, 50880, 52058, 50887, 56200, 50862, 51396, 50887, 51042, 69543, 50884, 51019, 54690, 55079, 52368, 50830, 52310, 50880, 53175, 50887, 55639, 69268, 51345, 50992, 51073, 51205, 51159, 57770, 54763, 69979, 53173, 52330, 50818, 52310, 50880, 53175, 50887, 55639, 50378, 52272, 54359, 52489, 50880, 53542, 50887, 54051, 56192, 54741, 50820, 51281, 69901, 78424, 50809, 50799, 52330, 50818, 52851, 50880, 56173, 50887, 52433, 66649, 55138, 53242, 50809, 51888, 50880, 52384, 50887, 63668, 50862, 51396, 51158, 51042, 51158, 50868, 51158, 51019, 51100, 57770, 54121, 52761, 52330, 50818, 51888, 50880, 52384, 50887, 63668, 69484, 53744, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51281, 69901, 78424, 52329, 52330, 50818, 51648, 50880, 52058, 50887, 56200, 50862, 51396, 50884, 51042, 66636, 50887, 51019, 54690, 54660, 52939, 50818, 52310, 50883, 51648, 50883, 53175, 50884, 52058, 50884, 55639, 50839, 56200, 65289, 51238, 50992, 51345, 51205, 50917, 57770, 54763, 69979, 52927, 52330, 50818, 52310, 50880, 53175, 50887, 55639, 50378, 52272, 53908, 51666, 50818, 52489, 50880, 53542, 50887, 54051, 50862, 51019, 57383, 54741, 50820, 51281, 69901, 78424, 52444, 52330, 50818, 52851, 50880, 56173, 50887, 52433, 66649, 54704, 51908, 50809, 52578, 51167, 52698, 51215, 71752, 51194, 50946, 51158, 51017, 51158, 50868, 51158, 78982, 57770, 54121, 52616, 51236, 54028, 50852, 56124, 50820, 51089, 62194, 76959, 52555, 52393, 50818, 51888, 50821, 52384, 50859, 63668, 77194, 50887, 51017, 66636, 50887, 51069, 54690, 55079, 50868, 51073, 50850, 51073, 70092, 57770, 54763, 69979, 53173, 52393, 50818, 52425, 50880, 52701, 50887, 58088, 50378, 52272, 54359, 51648, 50821, 52058, 50859, 56200, 50854, 51011, 57383, 54741, 50820, 51089, 62194, 76959, 50809, 50799, 52393, 50818, 51888, 50821, 52384, 50859, 63668, 59365, 55138, 50946, 51158, 51017, 51158, 50868, 51158, 78982, 57770, 54121, 52761, 52425, 50880, 52701, 50887, 58088, 69484, 57404, 52393, 53423, 51648, 50880, 52058, 50887, 56200, 56192, 56124, 50820, 51089, 62194, 76959, 52329, 52393, 50818, 51888, 50821, 52384, 50859, 63668, 77194, 50887, 51017, 66636, 50887, 51069, 54690, 54660, 60036, 58131, 51345, 50850, 51345, 51011, 50897, 57770, 54763, 69979, 52927, 54237, 62284, 53908, 57813, 50800, 51213, 57383, 54741, 50820, 51089, 62194, 76959, 52444, 52368, 53317, 62047, 52330, 53905, 51888, 50880, 52384, 50887 ]

[ 0, 250, 32076, 8, 11653, 3495, 2214, 19, 10, 11602, 9, 10, 19834, 16464, 6, 4246, 10, 20902, 11739, 9, 13305, 6, 20535, 2810, 6, 2003, 38704, 31365, 25999, 6, 6755, 12547, 6, 8, 31391, 1672, 9590, 4, 8504, 11, 83, 3694, 8, 6780, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 42, 2125, 1931, 21683, 10, 33558, 8, 2365, 619, 6, 19, 10, 2842, 9, 1619, 9450, 4, 20, 204, 73, 306, 86, 6543, 4719, 5, 12989, 5204, 25, 5, 33215, 16739, 9, 211, 406, 6, 272, 119, 1176, 406, 6, 274, 10431, 406, 6, 272, 119, 1176, 406, 6, 8, 381, 406, 30853, 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 ]

[ 54458, 76501, 52851, 50921, 51888, 76520, 52103, 50859, 51713, 65372, 53152, 50859, 52578, 51033, 50799, 51963, 51091, 51776, 51573, 52664, 50983, 52851, 51189, 51338, 51362, 51085, 51541, 50900, 51091, 50916, 56135, 56190, 63707, 52090, 53498, 50818, 55429, 50943, 56248, 79306, 51173, 50973, 51100, 50968, 51158, 50903, 51336, 74163, 50430, 53152, 50925, 52578, 51014, 51857, 65604, 52664, 50800, 51963, 50800, 51776, 51014, 51727, 77242, 53579, 51135, 53912, 52851, 51346, 51963, 51112, 55912, 51048, 52664, 51157, 53170, 51054, 51844, 51343, 51027, 51362, 50916, 51160, 50861, 50993, 50973, 51460, 56639, 50807, 55894, 56508, 52664, 51112, 52970, 51112, 53152, 51162, 52366, 51932, 55912, 60998, 56135, 51505, 50906, 51505, 50903, 51196, 50856, 72576, 51844, 50858, 51120, 51364, 51027, 50950, 50899, 51189, 50871, 71261, 58834, 50914, 50799, 52719, 50807, 52103, 50807, 51913, 51204, 52002, 51573, 51181, 51343, 56639, 50807, 55429, 50915, 53645, 51173, 50877, 51286, 50903, 51196, 74163, 50430, 52747, 51045, 50434, 52719, 50808, 52103, 50859, 52002, 51033, 51181, 69180, 53579, 51179, 55965, 51913, 50991, 51888, 51235, 52103, 51162, 52310, 51346, 55282, 50807, 54409, 51237, 51137, 51343, 51026, 71211, 51215, 50877, 51167, 50973, 51160, 50968, 51505, 56639, 50807, 55894, 56508, 52099, 51238, 52103, 51346, 52489, 51112, 52310, 51346, 54348, 53531, 50299, 50910, 50871, 62685, 73662, 52545, 50319, 50940, 50903, 51356, 50856, 50918, 50458, 51137, 51879, 50299, 51421, 50943, 50799, 51648, 50952, 52991, 51033, 51963, 51226, 52851, 51661, 51338, 51343, 51085, 51294, 50916, 51167, 50861, 51167, 50973, 51221, 50902, 51379, 67779, 63672, 52310, 50897, 53170, 51033, 50422, 52991, 51045, 51648, 68760, 58299, 52310, 51215, 53170, 51354, 50916, 51173, 50861, 51286, 50973, 51111, 50902, 51286, 50903, 51196, 50856, 68409, 51963, 50818, 51776, 51014, 51374, 51879, 50296, 53579, 51179, 56509, 52310, 50893, 51963, 51167, 53170, 51483, 52664, 51364, 52851, 51661, 51349, 51343, 51027, 51091, 50916, 51238, 50861, 51235, 50973, 51379, 56639, 75626, 51913, 50840, 51906, 50808, 52366, 55043, 55441, 52002, 51483, 51963, 51255, 51913, 51238, 50916, 51060, 50861, 51060, 50877, 51060, 50876, 51158, 50903, 51356, 50856, 72576, 52664, 50836, 51888, 51033, 51338, 50858, 51027, 52259, 51239, 51003, 50799, 51713, 51483, 52103, 51091, 51913, 51204, 52664, 50983, 51181, 51343, 51120, 51091, 50899, 51241, 50871, 51173, 50877, 63837, 51215, 56639, 73351, 51776, 55043, 69027, 51713, 51033, 50871, 69222, 50821, 50876, 63390, 51661, 74163, 50430, 51776, 75724, 51963, 51896, 56844, 51896, 51888, 52311, 52851, 51977, 51684, 50940, 51026, 51661, 50973, 51870, 50968, 51009, 67779, 53442, 51137, 51356, 50856, 51291, 50446, 50903, 50940, 54722, 51955, 52570, 50791, 50918, 50457, 51366, 50860, 57796, 61845, 51492, 50799, 52664, 51486, 52103, 51692, 51181, 52536, 51120, 51605, 51026, 69266, 51189, 61617, 70796, 56143, 50902, 59709, 74865, 63106, 52466, 73648, 72083, 51256, 56733, 51256, 51973, 75975, 75640, 63830, 65338, 50848, 74865, 63106, 53451, 77229, 51178, 50427, 51366, 58221, 51366, 56861, 50899, 51194, 54613, 50436, 51322, 50975, 57019, 51110, 79276, 63830, 50902, 51060, 50848, 55868, 61182, 51599, 77229, 50914, 50445, 51322, 52116, 50871, 51100, 50877, 51100, 50876, 51100, 50902, 51111, 50848, 55868, 61182, 50860, 51451, 52279, 77229, 50914, 50454, 51349, 50858, 51451, 56575, 51602, 69180, 50886, 51912, 51066, 53053, 51661, 51026, 51591, 50871, 58800, 60358, 56611, 71305, 61182, 53236, 59770, 51003, 50422, 51912, 51973, 50871, 58800, 60358, 58580, 55868, 61182, 50860, 51451, 53451, 51446, 50791, 51095, 50433, 51451, 62751, 51181, 69180, 50914, 54613, 57842, 51290, 72302, 65645, 50973, 51233, 76592, 50946, 56304, 50976, 50872, 51599, 51472, 50791, 51127, 50439, 51322, 79867, 51026, 58063, 51896, 50450, 51857, 51227, 50956, 51345, 50877, 51112, 50973, 51377, 51001, 51346, 51042, 67072, 55868, 54972, 53601, 50456, 51209, 50802, 57796, 50921, 54309, 51343, 50900, 51218, 50916, 51191, 71356, 50973, 51212, 50968, 51235, 50885, 56781, 51599, 78260, 67697, 51334, 56733, 51334, 53537, 50861, 51158, 50973, 51167, 50968, 51483, 50885, 56781, 65837, 53451, 78464, 61857, 51590, 55996, 51338, 73623, 50840, 51590, 50823, 57144, 51343, 51086, 51189, 50956, 51218, 50877, 50967, 50973, 51446, 51001, 51285, 50979, 70533, 56491, 51599, 78260, 68647, 51229, 56695, 51114, 51054, 51229, 53798, 79725, 50979, 70533, 61182, 51812, 78464, 50967, 50452, 51209, 56575, 51857, 75205, 50844, 51209, 51052, 50897, 54309, 51362, 50900, 51381, 50916, 51241, 68062, 50973, 51043, 50968, 51111, 50951, 51215, 50868, 56225, 50976, 51674, 51670, 59770, 50914, 50417, 51229, 60134, 51209, 51973, 66180, 50973, 51043, 50968, 51345, 50868, 65837, 53451, 51446, 50791, 51095, 50427, 51366, 58459, 51857, 50890, 51451, 57485, 51727, 50858, 51664, 51300, 54613, 57552, 51175, 51027, 51047, 50916, 51189, 50861, 51446, 79379, 51028, 51291, 51017, 62711, 61182, 53236, 76821, 51183, 50446, 51349, 51362, 50804, 52024, 50852, 53083, 51017, 62711, 61182, 61046, 63077, 51366, 51599, 50910, 53447, 51661, 50899, 51364, 50877, 56472, 57172, 71305, 61182, 53236, 78260, 50915, 50418, 51256, 52801, 51256, 53537, 50877, 51194, 75023, 50848, 71305, 61182, 60894, 78260, 51110, 50428, 51366, 56861, 51349, 50895, 50899, 51241, 51366, 52715, 50878, 57080, 51362, 75640, 50876, 51158, 50848, 71305, 61182, 53236, 77229, 73700, 51322, 56695, 50931, 51735, 51322, 53798, 50899, 62821, 51100, 50876, 57172, 71305, 61182, 60894, 51551, 50791, 51110, 50451, 51451, 60111, 51349, 69866, 51181, 69266, 50812, 51451, 51805, 50942, 53053, 51356, 51026, 52392, 50871, 51419, 69940, 50973, 51121, 50872, 56225, 75638, 51599, 77229, 70374, 51912, 56733, 51912, 51973, 50861, 51100, 50973, 51212, 50872, 65837, 75638, 50860, 51451, 55225, 51551, 50791, 51095, 50430, 51451, 56861, 50871, 51412, 50791, 66859, 51322, 51300, 69031, 50858, 71356, 50973, 51110, 50872, 65837, 75638, 53236, 69512, 50914, 50442, 51684, 68787, 51137, 51175, 50871, 51091, 56222, 50991, 50973, 51238, 50872, 65837, 75638, 60894, 51551, 50791, 51110, 50454, 51132, 54663, 51830, 56250, 51181, 51879, 50299, 50812, 50951, 51594, 50942, 54309, 51362, 50900, 51204, 50916, 51218, 66180, 50973, 51255, 50968, 51346, 50868, 65837, 50860, 50909, 50860, 51451, 53236, 78260, 57519, 51322, 63606, 51366, 51973, 50861, 51194, 50973, 51363, 50968, 51116, 50868, 56225, 57866, 55964, 78260, 50967, 50430, 51857, 50890, 51209, 55996, 51727, 72528, 53330, 68068, 51590, 50803, 57552, 51343, 51027, 51294, 50916, 51218, 66180, 50877, 51255, 50876, 51397, 50868, 56491, 55877, 77580, 51003, 50439, 51408, 52284, 51229, 54145, 50861, 51212, 50877, 51212, 50868, 61182, 55964, 69512, 51110, 50457, 51366, 56250, 51844, 50858, 51027, 53330, 50878, 53447, 51343, 51120, 51364, 50899, 51218, 50877, 54891, 65046, 51256, 51599, 59770, 60413, 51209, 57646, 56143, 50425, 51256, 52968, 50877, 65090, 51124, 50931, 51933, 50872, 56491, 60894, 52195, 50791, 51095, 50429, 51209, 59009, 51366, 51029, 50434, 51181, 51879, 50294, 65263, 51221, 52653, 57842, 51356, 51026, 51077, 71777, 50872, 51300, 50847, 61846, 51291, 50791, 50943, 64118, 51204, 50861 ]

[ 0, 250, 8787, 3495, 8, 5175, 15229, 4246, 10, 20535, 12547, 9, 32909, 6, 1515, 21305, 6, 326, 5638, 18026, 6, 8, 17465, 102, 6, 7513, 30, 10, 13305, 4, 590, 10, 2635, 226, 22740, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 25306, 5466, 19, 10, 3344, 9, 2933, 8, 1372, 6711, 29, 4, 20, 2125, 16, 11, 5, 762, 9, 272, 538, 8, 24536, 10, 33215, 16739, 9, 15312, 757, 6, 1918, 6, 272, 6, 211, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 61791, 61791, 50861, 67943, 50622, 53502, 67220, 50995, 50423, 50622, 50424, 73952, 50428, 65313, 59409, 51051, 50876, 51412, 50436, 65313, 50440, 73952, 50442, 50902, 53743, 57846, 50968, 50995, 50448, 73952, 50452, 50861, 63234, 65555, 50951, 51412, 50460, 65313, 51809, 73952, 50418, 50999, 55105, 51086, 75766, 50995, 50424, 77555, 50428, 63006, 58319, 51051, 50931, 51097, 50436, 63006, 50440, 50899, 68982, 77469, 50448, 77555, 50452, 63006, 50456, 65313, 50931, 50995, 50460, 63006, 51809, 77555, 53502, 71227, 51242, 50424, 50916, 59386, 50968, 50995, 50428, 65313, 59409, 51051, 50436, 50861, 58946, 78763, 50440, 50916, 68982, 51027, 50933, 50968, 50995, 50448, 70223, 50452, 50899, 63234, 50989, 51051, 50902, 51412, 50460, 77555, 51809, 70223, 50418, 50877, 55105, 51026, 69715, 51244, 50424, 51086, 51051, 50428, 77555, 58319, 51051, 50436, 77555, 50440, 51086, 68982, 50622, 51026, 50981, 50448, 50622, 62958, 50452, 50622, 50877, 61898, 79623, 50457, 50622, 50460, 66374, 50461, 50622, 51809, 74952, 50417, 50622, 50420, 50622, 50968, 50955, 50876, 50981, 50424, 51220, 50959, 50428, 50999, 60675, 74952, 50973, 50995, 50436, 50999, 50959, 50440, 50951, 63280, 50622, 70688, 50877, 50981, 50448, 50622, 76598, 50452, 50622, 50931, 61898, 79623, 50861, 50995, 50457, 50622, 50460, 72310, 50461, 50622, 51809, 78966, 50417, 50622, 50420, 50622, 50871, 59389, 54100, 50916, 60127, 52169, 50317, 55040, 50622, 50899, 60138, 70062, 50915, 50448, 50622, 50452, 50622, 50456, 51120, 51051, 61048, 62496, 50457, 50622, 50460, 51315, 51051, 58222, 50968, 50955, 50461, 50622, 51809, 51050, 51051, 56963, 73754, 50417, 50622, 50420, 50622, 70584, 51026, 67220, 51742, 50424, 70223, 50428, 73952, 58319, 51051, 50436, 73952, 50440, 50900, 68982, 78456, 50448, 51086, 51051, 70644, 50452, 77555, 50877, 61898, 63006, 79623, 50460, 77555, 78966, 51809, 51086, 51051, 50902, 68582, 50622, 79848, 68929, 70178, 51085, 63085, 50915, 50424, 62958, 50428, 67946, 59409, 50959, 50436, 62958, 50440, 50916, 63280, 51085, 63085, 50981, 50448, 62958, 50452, 50916, 61898, 66374, 50460, 62958, 50799, 55062, 50905, 50416, 67946, 50420, 53250, 51741, 50292, 63085, 50915, 50424, 62958, 50428, 50916, 60675, 53250, 51337, 66374, 50436, 62958, 50440, 67946, 50442, 53077, 54434, 53771, 51312, 51085, 63085, 50915, 50448, 62958, 50452, 50916, 61898, 53863, 51337, 66374, 50460, 62958, 51809, 67946, 50418, 54985, 55105, 53863, 51911, 50291, 52019, 50303, 51003, 50424, 62958, 78312, 60675, 53407, 51380, 74952, 50436, 62958, 50440, 61522, 50444, 50622, 51214, 71169, 50915, 50448, 50622, 62958, 50452, 50622, 61522, 50456, 53407, 51379, 79623, 50457, 50622, 50460, 62958, 50461, 50622, 51809, 61522, 50417, 50622, 50418, 53407, 57242, 53407, 51286, 51085, 63085, 51003, 50423, 50622, 50424, 50861, 57818, 53771, 50936, 50428, 50916, 60675, 56213, 53275, 50316, 50959, 50436, 50861, 58450, 53250, 50911, 50440, 50916, 63280, 53771, 51454, 51279, 72388, 50915, 50448, 50989, 50959, 50452, 50899, 61898, 53077, 51379, 66374, 50460, 50989, 50959, 51809, 69505, 50418, 54812, 57242, 53077, 51527, 51214, 52019, 50299, 51003, 50424, 61522, 50428, 50899, 60675, 79623, 50436, 62958, 50440, 61522, 50444, 50622, 73754, 50448, 50622, 66374, 50452, 50622, 50973, 61898, 64645, 50457, 50622, 50460, 62958, 50461, 50622, 50799, 55062, 50911, 50416, 61522, 50417, 50622, 50420, 53250, 53531, 50292, 63085, 51003, 50423, 50622, 50424, 62958, 50428, 50916, 60675, 53250, 51379, 66374, 50436, 62958, 50440, 67946, 50442, 53077, 56843, 53771, 51454, 51085, 63085, 50915, 50448, 62958, 50452, 50916, 61898, 53863, 51379, 66374, 50460, 62958, 51809, 67946, 50418, 54985, 57242, 53863, 53177, 50289, 52019, 50301, 51003, 50424, 50989, 50959, 50428, 50899, 60675, 55602, 51196, 66374, 50436, 50989, 50959, 50440, 50899, 63280, 51324, 51517, 50303, 50915, 50448, 61522, 50452, 50899, 61898, 53407, 51379, 74952, 50460, 62958, 51809, 61522, 50418, 53407, 57242, 53407, 51286, 51085, 63085, 51003, 50424, 50861, 57818, 53771, 50936, 50428, 50916, 60675, 56213, 53275, 50316, 50959, 50436, 50861, 58450, 53250, 50911, 50440, 50916, 63280, 50622, 53771, 51454, 51214, 71169, 50915, 50448, 50622, 62958, 50452, 50622, 61522, 50456, 53077, 51379, 79623, 50457, 50622, 50460, 62958, 50461, 50622, 51809, 61522, 50417, 50622, 50418, 55062, 57242, 53250, 51527, 51085, 63085, 51003, 50423, 50622, 50424, 62958, 50428, 67946, 59409, 50959, 50436, 62958, 50440, 50916, 63280, 50968, 50955, 50448, 66374, 50452, 50861, 61898, 66374, 50460, 62958, 79705, 50911, 50416, 67946, 50420, 53077, 53531, 50287, 52019, 50299, 51003, 50424, 62958, 50428, 50899, 60675, 53771, 51379, 79623, 50436, 62958, 50440, 69505, 50442, 55602, 56843, 53863, 51454, 51214, 71169, 50915, 50448, 62958, 50452, 50899, 61898, 56213, 51379, 79623, 50460, 62958, 51809, 69505, 50418, 53077, 57242, 53250, 51527, 51279, 52019, 50301, 51003, 50424, 50989, 50959, 50428, 69505, 59409, 50959, 50436, 50989, 50959, 50440, 50899, 63280, 51120, 50995, 50448, 50989, 50959, 50452, 50899, 61898, 53250, 57253, 50959, 50460, 50989, 50959, 79705, 50879, 50416, 50899, 68582, 56213, 53531, 50299, 51148, 50424, 62958, 50428, 50899, 60675, 53077, 51379, 79623, 50436, 62958, 50440, 69505, 50442, 53077, 56843, 53863, 51454, 51315, 50995, 50448, 62958, 50452, 50877, 61898, 55602, 51379, 51028, 50959, 51027, 51097, 50460, 64645, 51809, 62958, 50418, 53771, 57242, 53077, 51527, 51120, 50981, 50424, 64645, 50428, 50989, 60675, 74952, 50436, 64645, 50440, 50989, 63280, 73754, 50448, 71650, 50452, 50861, 61898, 53077, 60446, 50959, 50460, 64645, 77632, 50879, 50416, 50989, 68582, 53407, 53531, 50300, 50981, 50424, 79623, 78312, 60675, 53771, 53275, 50318, 50959, 50436, 50973, 58450, 53077, 50911, 50440, 61522, 50444, 53077, 52362, 50296, 50995, 50448, 50965, 58248, 53771, 51566, 50452, 50916, 61898, 79623, 50460, 70644, 50799, 56213, 50911, 50416, 67946, 50420, 53250, 51527, 51027, 51145, 50424, 64645, 50428, 67946, 59409, 50959, 50436, 64645, 50440, 50916, 63280, 51086, 51145, 50448, 62958, 50452, 50899, 61898, 74952, 50460, 62958, 77632, 50911, 50416, 50899, 68582, 53777, 53531, 50304, 65227, 58532, 59391, 60307, 53077, 64104, 53250, 56646, 50622, 53250, 51454, 51176, 64763, 67182, 59937, 50943, 50449, 50621, 50454, 50621, 50456, 56213, 51379, 50458, 50621, 51601, 50620, 50417, 53250, 55446, 50619, 53077, 51527, 51026, 51145, 50973, 51145, 50899, 67835, 63323, 50622, 77920, 50799, 55062, 55126, 53250, 51741, 50292, 63085, 50915, 50424, 62958, 50428, 50916, 60675, 53250, 51337, 66374, 50436, 62958, 50440, 67946, 50442, 53077, 54434, 53771, 51312, 51085, 63085, 50915, 50448, 62958, 50452, 50916, 61898, 53863, 51337, 66374, 50460, 62958, 51809, 67946, 50418, 54985, 55105, 53863, 51911, 50291, 52019, 50303, 51003, 50424, 62958, 78312, 60675, 53407, 51380, 74952, 50436, 62958, 50440, 61522, 50444, 50622, 51214, 71169, 50915, 50448, 50622, 62958, 50452, 50622, 61522, 50456, 79623, 50457, 50622, 50460, 62958, 50461, 50622, 78857, 50911, 50416, 61522, 50417, 50622, 50420, 53771, 53531, 50292, 63085, 51003, 50423, 50622, 50424, 62958, 50428, 50916, 60675, 53771, 51379, 66374, 50436, 62958, 50440, 67946, 50442, 53771, 56843, 53771 ]

[ 0, 250, 15855, 19834, 2125, 14, 115, 28, 341, 11, 10, 822, 50, 6717, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 26432, 636, 3938, 22052, 6, 32909, 6, 8, 21979, 9590, 4, 20, 6711, 7630, 6568, 10, 1472, 9, 9733, 8, 34, 10, 1619, 619, 7, 24, 4, 85, 18, 11, 211, 3694, 6, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 16, 83, 6, 163, 428, 73, 495, 6, 211, 119, 6, 230, 6, 8, 272, 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 ]

[ 54458, 52013, 54181, 52013, 50854, 50799, 52013, 53906, 52013, 54181, 52039, 50849, 51485, 50948, 51838, 51527, 52735, 63883, 51485, 50830, 52039, 53562, 52039, 50849, 51485, 59465, 52039, 50873, 51485, 51014, 62404, 51749, 51198, 51397, 51216, 51029, 51898, 51241, 51579, 51343, 52137, 51362, 54339, 60055, 51639, 51124, 51119, 50991, 51494, 78265, 66491, 51494, 50844, 76440, 51898, 51359, 52314, 51696, 53129, 51036, 52886, 51359, 50438, 52176, 51642, 51198, 51423, 51389, 60815, 51119, 50855, 51494, 50857, 51275, 53068, 51708, 51110, 51389, 58954, 51119, 50855, 51494, 50867, 51275, 50813, 62404, 51535, 51198, 51295, 51216, 52512, 50420, 51119, 51112, 51494, 51377, 51275, 70705, 51119, 50836, 51494, 50857, 51275, 52950, 52176, 50932, 51198, 51233, 51389, 50976, 51898, 50849, 51485, 50894, 51838, 51551, 52886, 56027, 51119, 50862, 51494, 50867, 51275, 50820, 51485, 50940, 51898, 54230, 51708, 50955, 51389, 51505, 51485, 50921, 51898, 55345, 51119, 50829, 51494, 50904, 51275, 50867, 51898, 50873, 51485, 51033, 71803, 51878, 51869, 51562, 51098, 51300, 51431, 51295, 52067, 51204, 52430, 51274, 55815, 78264, 51099, 51412, 51275, 51043, 51308, 77066, 51308, 50862, 51275, 50862, 76009, 51723, 51623, 51579, 51358, 52137, 51623, 54307, 51675, 50438, 51869, 51233, 53366, 51852, 51389, 60815, 73778, 51308, 50836, 51275, 54208, 52176, 50845, 51389, 51505, 50456, 51869, 51380, 66301, 50977, 51308, 50938, 51275, 50925, 53366, 50878, 51098, 61445, 51308, 51191, 51275, 51191, 53366, 51381, 51869, 51351, 51099, 51191, 51098, 51300, 51723, 50897, 52137, 73374, 51723, 50833, 52430, 56160, 51723, 50808, 52735, 68179, 51723, 50808, 52137, 50795, 58637, 50925, 51280, 50897, 51561, 50938, 51099, 50897, 51153, 50849, 51150, 50975, 51431, 50865, 52735, 51138, 56343, 50948, 52876, 50925, 53410, 60724, 52133, 50879, 51673, 53890, 51881, 50805, 51886, 53961, 52402, 50849, 52480, 58087, 51656, 51095, 53297, 74971, 51615, 51233, 52367, 78271, 52402, 50795, 52480, 53581, 52133, 51177, 51673, 51058, 61310, 50830, 51099, 51121, 75271, 51275, 51121, 51389, 51066, 51881, 50795, 54708, 50910, 52876, 50925, 56631, 50897, 51886, 77772, 51615, 51178, 52367, 76349, 51881, 50795, 51886, 53387, 53181, 51177, 51827, 51328, 50438, 51561, 51111, 51099, 51194, 51308, 51121, 51639, 51095, 51930, 51066, 52133, 50924, 52876, 50917, 56343, 50936, 53410, 50897, 51673, 53999, 52402, 51121, 52480, 51884, 50450, 52133, 50795, 51673, 54509, 53389, 50873, 51686, 51006, 61310, 50938, 51099, 50897, 51308, 50910, 51275, 50917, 51389, 50993, 53181, 51030, 54708, 51033, 56631, 50952, 52876, 50910, 51827, 60592, 51198, 51091, 51494, 51141, 51119, 51189, 51389, 51029, 51431, 50936, 52067, 50879, 55815, 50806, 52430, 53999, 51723, 50865, 51579, 50937, 52137, 51101, 54307, 54230, 52314, 50893, 51898, 50937, 55248, 50865, 53129, 57092, 51431, 50924, 52067, 50936, 55815, 50805, 52430, 50905, 71803, 50959, 51869, 50955, 51099, 50845, 75271, 51275, 51178, 51098, 50975, 51723, 50865, 51579, 50879, 52137, 50937, 54307, 58292, 53366, 67174, 52517, 57565, 52517, 61208, 52088, 66864, 52456, 50858, 62404, 52598, 51198, 51878, 51389, 51029, 51270, 55909, 53216, 54226, 51119, 51337, 51494, 51309, 51275, 51233, 51270, 53107, 54316, 51270, 52499, 52639, 55815, 51090, 51656, 51003, 51270, 52793, 52209, 51119, 50820, 51494, 50829, 51275, 65685, 55909, 52517, 60920, 51708, 50905, 51216, 50976, 55248, 51175, 52332, 51203, 51270, 52793, 52616, 51119, 50834, 51494, 50904, 51275, 57095, 53963, 53595, 51198, 51101, 51216, 50975, 55248, 50893, 52332, 68572, 52637, 52193, 51119, 50839, 51494, 50829, 51275, 50834, 54307, 50873, 51615, 80241, 52637, 50839, 62404, 51627, 51389, 51029, 55815, 51356, 51656, 51183, 51270, 52637, 52302, 51119, 51194, 51494, 51328, 51153, 51233, 51270, 52786, 58592, 51270, 54446, 51270, 52539, 60463, 51270, 52639, 51270, 52637, 52927, 78585, 51494, 50825, 51119, 57113, 52637, 52676, 51708, 50845, 51216, 50802, 55248, 51290, 52332, 51056, 51270, 53045, 50817, 52708, 52284, 51119, 50862, 51494, 50864, 51153, 68814, 52637, 50829, 51855, 61208, 51198, 50937, 51216, 50802, 55815, 51095, 51656, 51412, 51383, 55909, 52708, 54178, 60056, 51494, 50822, 51153, 50866, 51383, 52637, 50949, 52517, 51045, 65237, 51318, 51098, 51300, 54339, 51343, 52402, 51191, 51270, 55909, 53216, 64146, 51275, 51337, 51099, 51242, 51308, 51212, 51270, 53107, 54316, 51270, 52499, 52639, 51270, 52793, 52209, 51308, 50862, 68177, 68182, 52886, 50849, 51881, 50937, 51270, 55909, 52517, 53663, 52176, 50879, 51389, 51505, 54307, 51100, 51615, 50873, 51270, 52793, 52616, 51308, 51008, 51099, 51006, 51275, 51058, 53718, 50914, 51743, 50981, 51270, 53963, 53595, 52176, 50967, 51389, 51483, 51383, 52637, 52193, 51308, 50959, 51099, 51006, 51275, 50978, 54339, 50805, 52402, 80241, 52637, 50839, 65237, 51218, 51098, 51300, 52886, 51518, 51881, 51677, 51270, 52637, 52302, 51275, 51194, 51099, 51043, 51308, 51121, 51270, 53107, 54316, 51270, 52499, 52639, 51270, 52793, 52209, 51275, 50862, 51308, 50855, 51099, 65685, 55909, 52517, 57174, 51869, 51212, 51389, 50976, 51270, 52793, 50820, 52077, 51483, 50444, 51099, 50978, 51308, 50813, 51275, 68671, 53963, 53595, 51869, 51043, 51389, 51505, 51383, 55909, 52077, 57701, 51099, 50822, 51308, 50813, 51275, 79913, 52637, 50839, 52077, 50803, 62673, 51417, 51793, 51300, 52626, 51127, 51743, 51183, 51270, 55909, 51855, 66463, 51119, 51480, 51270, 53107, 54316, 51270, 52499, 52639, 77061, 51270, 52793, 50818, 51855, 56896, 51435, 79717, 55909, 51855, 57174, 51561, 51077, 51930, 51300, 54339, 51047, 52402, 51127, 51270, 52793, 50820, 51813, 62186, 51099, 51337, 51270, 53963, 53595, 51308, 68572, 55909, 51813, 52884, 51639, 50948, 51383, 52637, 50839, 51813, 50950, 61310, 51127, 51389, 52097, 53718, 51127, 51881, 51145, 51270, 55909, 52088, 62420, 51144, 51212, 51270, 52786, 58592, 51270, 54446, 51270, 52539, 58646, 51270, 52639, 51308, 50845, 51270, 52637, 50846, 52088, 52726, 61565, 51270, 55909, 52088, 57174, 51280, 51145, 51150, 52512, 54307, 51145, 52133, 51047, 51270, 53045, 50817, 53216, 58919, 51099, 51233, 51270, 52637, 52802, 51153, 51177, 51383, 55909, 53216, 52163, 51639, 50805, 51383, 52637, 50949, 53216, 50803, 65364, 51244, 51261, 52512, 57204, 51047, 53181, 51183, 51270, 55909, 52517, 64146, 51308, 51101, 51906, 50890, 51648, 50809, 52103, 50809, 52334, 50809, 51485, 64115, 53107, 54316, 51270, 52499, 52639, 51275, 50892, 51270, 52793, 52209, 51435, 50924, 52103, 50862, 51906, 50836, 51648, 50862, 52334, 50862, 51485, 56741, 52637, 52676, 51198, 50943, 51273, 51029, 53152, 50812, 51648, 50809, 51913, 50836, 53437, 50890, 51485, 50840, 55815, 51127, 53389, 51183, 51270, 52793, 52616, 51494, 51267, 51913, 50836, 53152, 50857, 51648, 50840, 53437, 50836, 51485, 62451, 53963, 53595, 51119, 51212, 53152, 50840, 51648, 50836, 51913, 50836, 53437, 50890, 51485, 62284, 55909, 50455, 53152, 50809, 53437, 53875, 51275, 50849, 51777, 50837, 51913, 50836, 51648, 50840, 51485, 52476, 50592, 52637, 50839, 71803, 50905, 51869, 51233, 51098, 51552, 51648, 50836, 51963, 50890, 51906, 50883, 51485, 50800, 52039, 50808, 53817, 50873, 54307, 79717, 52637, 52302, 51099, 51337, 51308, 51194, 51275, 51177 ]

[ 0, 250, 239, 12, 18261, 3152, 2214, 19, 10, 2842, 9, 4204, 2712, 6, 42, 2125, 16, 41, 814, 12, 21330, 20522, 3068, 31, 386, 7, 2073, 4, 590, 10, 27841, 3006, 11332, 20889, 8, 10, 155, 73, 306, 86, 6543, 6, 24, 18, 10, 28252, 9, 10603, 6, 3185, 30, 5, 2247, 4069, 9, 81, 9756, 29589, 6, 3459, 9590, 6, 8, 29839, 21072, 4, 20, 33215, 16739, 9, 163, 43531, 1176, 406, 6, 1918, 406, 428, 245, 6, 12608, 12361, 6, 12608, 6, 8, 211, 3639, 7, 5, 9066, 8, 15352, 30054, 2574, 9, 5, 15229, 6, 70, 278, 11, 5, 762, 9, 2060, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50648, 50852, 54243, 50852, 53912, 50852, 50889, 50799, 52971, 50808, 52971, 50808, 52669, 67433, 54275, 63420, 63420, 51507, 52704, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 51499, 50889, 51499, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 71163, 51263, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 51499, 50889, 51499, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 71163, 51263, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 51499, 50889, 51499, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 71163, 51263, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 51499, 50889, 51499, 57130, 52472, 52961, 50816, 50805, 50799, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50417, 63420, 63420, 51507, 52734, 60430, 60430, 52343, 52504, 52483, 76554, 52023, 57130, 52472, 52605, 50816, 52446, 52971, 50808, 52971, 50808, 52669, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 60430, 60430, 52343, 52504, 52596, 64606, 64606, 71163, 51263, 60105, 50889, 66170, 52864, 53724, 52483, 51507, 52605, 53724, 52446, 52343, 52815, 53724, 52596, 51632, 52961, 53724, 50805, 66170, 52864, 53724, 52483, 51507, 52605, 53724, 52446, 52343, 52815, 53724, 77534, 50816, 53533, 64606, 64606, 74187, 51200, 65081, 71685, 51507, 55107, 60105, 50889, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 64198, 64198, 52413, 73995, 52961, 69182, 69182, 53724, 72116, 50799, 52551, 50805, 52551, 50805, 52237, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 64198, 64198, 52413, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 56489, 56489, 51507, 73995, 52815, 56489, 56489, 51507, 77534, 50816, 53533, 64606, 64606, 74187, 51200, 65081, 71685, 51507, 55107, 55152, 52961, 50816, 50805, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 76938, 51632, 73995, 52961, 69182, 69182, 53724, 72116, 50799, 56489, 56489, 51507, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 60430, 60430, 52343, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 52160, 50808, 52160, 50808, 52343, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 69182, 69182, 53724, 77534, 50816, 53533, 64606, 64606, 74187, 51200, 65081, 71685, 51507, 55107, 60105, 50889, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 61139, 61139, 51704, 73995, 52961, 60430, 60430, 52343, 72116, 50799, 52971, 50805, 52971, 50805, 52669, 73995, 52864, 52971, 50805, 52971, 50805, 52669, 52504, 52483, 52971, 50805, 52971, 50805, 52669, 73995, 52605, 58157, 58157, 51860, 52504, 52446, 56489, 56489, 51507, 73995, 52815, 56489, 56489, 51507, 77534, 50816, 53533, 64606, 64606, 74187, 51200, 65081, 71685, 51507, 55107, 55152, 52961, 50816, 50805, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 76938, 51632, 73995, 52961, 69182, 69182, 53724, 72116, 50799, 56489, 56489, 51507, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 60430, 60430, 52343, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 52160, 50808, 52160, 50808, 52343, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 69182, 69182, 53724, 77534, 50816, 53533, 64606, 64606, 51507, 55107, 60105, 50889, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 76938, 52413, 73995, 52961, 69182, 69182, 53724, 72116, 50799, 52551, 50805, 52551, 50805, 52237, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 64198, 64198, 52413, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 56489, 56489, 51507, 73995, 52815, 56489, 56489, 51507, 77534, 50816, 53533, 64606, 64606, 74187, 51200, 65081, 71685, 51507, 55107, 55152, 52961, 50816, 50805, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 76938, 51632, 73995, 52961, 69182, 69182, 53724, 72116, 50799, 56489, 56489, 51507, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 60430, 60430, 52343, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 52160, 50808, 52160, 50808, 52343, 52423, 56151, 50441, 63420, 63420, 51507, 52711, 69182, 69182, 53724, 77534, 50816, 53533, 64606, 64606, 74187, 51200, 65081, 71685, 51507, 55107, 55152, 52961, 50816, 50805, 50799, 60430, 60430, 52343, 73995, 52864, 69182, 69182, 53724, 52504, 52483, 56489, 56489, 51507, 73995, 52605, 69182, 69182, 53724, 52504, 52446, 60430, 60430, 52343, 73995, 52815, 69182, 69182, 53724, 52504, 52596, 61139, 61139, 51704, 73995, 52961, 60430, 60430, 52343, 72116, 51034, 52971, 50805, 52971, 50805, 52669, 73995, 52864, 52971, 50805, 52971, 50805, 52669, 52504, 52483, 52971, 50805, 52971 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 4246, 10, 24896, 8, 41, 21979, 8669, 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, 33558, 8, 1372, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 71802, 50932, 56929, 73024, 50825, 51081, 50820, 51405, 53223, 50951, 50870, 51081, 50825, 51405, 52928, 52994, 52378, 54113, 51109, 50951, 50870, 51081, 50835, 51405, 52953, 50951, 50863, 51081, 50834, 51405, 53040, 52813, 51108, 51951, 64951, 50835, 51081, 50834, 51405, 53162, 50951, 50825, 51081, 50820, 51405, 52725, 52682, 51199, 52994, 51312, 50951, 50825, 51081, 50834, 51405, 52920, 50951, 50829, 51081, 50820, 51405, 50820, 50799, 52994, 52996, 54113, 51056, 50951, 50829, 51081, 50841, 51405, 53576, 50951, 50825, 51081, 50834, 51405, 52641, 52813, 51199, 51951, 51480, 50951, 50829, 51081, 50841, 51405, 52417, 50951, 50825, 51081, 50834, 51405, 53040, 52682, 50995, 52994, 51312, 50951, 50829, 51081, 50839, 51405, 52878, 51727, 53474, 50841, 50951, 50829, 51081, 50820, 51405, 53068, 51338, 50894, 59541, 51806, 52813, 51411, 63536, 50951, 50820, 51081, 50846, 51405, 52738, 51181, 53474, 51031, 50951, 50835, 51081, 50839, 51405, 50820, 54293, 51460, 52994, 51108, 52682, 74680, 53837, 50863, 52562, 70452, 50839, 51081, 50818, 51405, 77845, 69586, 50901, 51136, 50901, 65738, 51246, 65909, 50829, 51081, 50820, 51405, 52905, 51727, 50980, 51951, 50981, 52813, 51330, 54074, 50834, 52562, 68636, 50825, 51081, 50839, 51405, 50839, 51361, 50834, 51064, 50901, 67291, 51136, 50892, 51246, 70452, 50829, 51081, 50839, 51405, 50841, 55545, 50980, 52994, 52048, 54113, 51480, 52620, 50835, 52562, 75766, 50829, 51081, 50839, 51405, 73816, 50825, 51064, 51121, 50929, 51121, 51136, 50845, 51246, 63698, 50829, 51081, 50841, 51405, 53068, 51727, 51235, 52994, 51775, 54113, 51363, 54074, 50841, 52562, 68545, 50834, 51081, 50841, 51405, 53268, 63609, 51064, 51121, 50929, 51121, 51136, 51121, 51246, 51177, 50951, 50834, 51081, 50841, 51405, 50828, 54293, 51227, 56929, 51148, 51951, 51490, 52358, 50828, 52562, 68545, 50829, 51081, 50828, 51405, 59912, 50820, 51064, 51212, 50929, 51101, 51136, 51242, 51246, 68545, 50835, 51081, 50834, 51405, 52762, 51727, 51345, 61394, 50834, 52562, 65909, 50834, 51081, 50846, 51405, 50841, 51361, 50834, 76702, 65738, 51136, 50901, 51246, 61352, 50825, 51081, 50841, 51405, 50839, 55545, 51030, 52994, 51134, 52813, 52025, 52620, 50834, 52562, 68545, 50829, 51081, 50841, 51405, 61110, 54804, 50444, 51727, 51907, 52493, 72525, 50873, 65738, 51136, 50845, 51246, 63698, 50829, 51081, 50820, 51405, 53083, 51338, 50821, 52562, 63698, 50839, 51081, 50828, 51405, 57150, 52060, 60053, 51553, 53137, 51181, 50952, 52521, 51376, 53058, 50838, 76702, 65738, 51136, 50845, 51246, 65909, 50835, 51081, 50834, 51405, 57620, 51224, 50820, 54293, 51379, 52200, 51012, 52813, 52407, 51951, 77005, 56874, 50837, 52562, 61352, 50820, 51081, 50818, 51405, 50883, 65945, 51064, 50873, 51136, 50873, 65738, 51246, 63698, 50829, 51081, 50839, 51405, 52905, 51727, 51160, 51721, 52279, 51135, 50834, 52562, 57945, 50835, 51081, 50839, 51405, 52925, 51721, 51033, 51931, 51064, 50873, 67291, 51136, 50845, 51246, 61352, 50834, 51081, 50839, 51405, 50841, 55545, 51167, 51643, 52466, 51135, 50835, 52562, 53130, 50323, 50834, 51081, 50839, 51405, 53041, 51721, 50894, 51468, 51064, 51121, 50929, 51121, 51136, 50901, 51246, 63698, 50835, 51081, 50841, 51405, 53068, 51727, 50991, 52185, 51033, 61394, 50841, 52562, 65909, 50835, 51081, 50828, 51405, 52881, 51652, 52227, 50829, 51064, 51121, 50929, 51100, 51136, 51101, 51246, 51101, 50951, 50834, 51081, 50841, 51405, 50828, 54293, 51167, 52620, 50828, 52562, 68545, 50834, 51081, 50828, 51405, 57829, 51721, 50806, 68980, 51064, 51101, 50929, 51101, 51136, 51212, 51246, 57945, 50834, 51081, 50820, 51405, 52928, 51727, 51235, 52623, 50811, 51986, 57370, 51135, 50834, 52562, 68545, 50820, 51081, 50841, 51405, 50841, 50965, 53108, 50307, 54830, 50432, 52623, 51010, 51555, 50938, 51931, 76702, 57662, 51136, 50901, 51246, 61352, 50835, 51081, 50841, 51405, 65335, 51819, 55545, 51227, 52623, 50975, 51722, 51346, 52620, 50829, 52562, 65909, 50829, 51081, 50839, 51405, 79266, 52722, 51180, 50825, 76702, 65738, 51136, 50845, 51246, 63698, 50834, 51081, 50841, 51405, 53068, 51727, 51160, 54001, 50839, 52562, 61352, 50820, 51081, 50846, 51405, 53173, 63380, 76702, 57662, 51136, 50845, 51246, 65909, 50837, 51081, 50839, 51405, 54625, 51721, 50821, 55556, 51427, 52185, 51033, 52553, 50841, 53271, 62244, 50820, 51147, 50818, 51146, 50961, 65945, 51064, 50873, 64629, 61416, 51246, 64196, 50835, 51147, 50834, 51146, 54579, 52185, 55800, 51132, 51238, 52185, 51045, 54001, 50834, 53271, 66257, 50835, 51147, 50839, 51146, 52667, 51721, 50948, 51471, 51064, 50873, 61416, 63880, 51246, 62244, 50835, 51147, 50841, 51146, 50846, 57124, 51160, 51633, 53235, 51179, 50829, 53271, 71227, 50834, 51147, 50839, 51146, 53041, 51633, 50940, 51956, 51064, 51121, 50970, 51177, 63880, 51246, 61913, 50829, 51147, 50828, 51146, 53083, 51181, 51235, 52226, 50921, 54001, 50828, 53271, 57643, 50829, 51147, 50841, 51146, 52738, 51633, 56638, 72525, 51177, 50970, 51100, 50960, 51121, 51246, 51212, 50931, 50834, 51147, 50841, 51146, 50839, 54293, 51379, 51652, 51227, 52620, 50846, 52562, 65909, 50829, 51081, 50828, 51405, 59335, 50829, 51064, 51212, 50929, 51101, 51136, 51212, 51246, 68545, 50835, 51081, 50834, 51405, 52762, 51727, 51235, 52623, 50950, 51567, 53543, 51041, 50834, 52562, 65909, 50820, 51081, 50828, 51405, 70934, 53108, 50307, 54830, 50432, 52623, 50950, 51722, 50854, 51471, 76702, 65738, 51136, 50901, 51246, 63698, 50825, 51081, 50839, 51405, 72020, 51819, 55545, 50950, 52623, 51388, 51567, 51116, 52902, 50829, 52562, 68545, 50829, 51081, 50839, 51405, 67661, 52722, 50444, 51727, 50940, 51468, 51064, 50873, 62018, 51136, 50845, 51246, 70452, 50835, 51081, 50820, 51405, 53068, 51338, 54092, 51179, 50839, 52562, 63698, 50839, 51081, 50828, 51405, 53173, 51181, 59141, 50863, 51064, 50892, 65738, 51136, 50892, 51246, 65909, 50835, 51081, 50839, 51405, 54359, 52200, 50858, 54293, 51379, 52770, 54168, 51135, 50841, 52562, 61352, 50820, 51081, 50846, 51405, 50883, 65945, 51064, 50901, 51136, 50901, 62018, 51246, 63698, 50829, 51081, 50834, 51405, 57987, 52770, 54631, 51727, 51238, 52770, 55404, 51135, 50820, 52562, 57945, 50825, 51081, 50839, 51405, 52925, 51652, 50948, 51931, 51064, 50873, 62018, 51136, 50845, 51246, 63698, 50835, 51081, 50841, 51405, 50841, 55545, 51167, 52185, 51021, 52620, 50835, 52562, 75766, 50820, 51081, 50839, 51405, 52878, 51652, 50887, 51468, 51064, 51121, 50929, 51121, 51136, 50892, 51246, 63698, 50835, 51081, 50841, 51405, 53068, 51727, 51238, 52185, 51021, 54161, 50846, 52562, 57945, 50829, 51081, 50828, 51405, 52881, 71973, 51064, 51121, 50929, 51100, 51136, 51101, 51246, 51101, 50951, 50829, 51081, 50841, 51405, 58965, 51652, 50882, 54293, 51175, 51721, 51354, 52553, 50841, 52562, 65909, 50829, 51081, 50841, 51405, 59335, 50834, 51064, 51101, 50929, 51101, 51136, 51242, 51246, 57945, 50834, 51081, 50820, 51405, 52928, 51727, 51238, 52623, 50811, 51986, 57370, 51135, 50820, 52562, 65909, 50834, 51081, 50841, 51405, 77641, 53108, 50307, 54830, 50432, 52623, 51010, 51555, 50917, 51931, 76702, 65738, 51136, 50845, 51246, 61352, 50825, 51081, 50839, 51405, 61508, 51819, 55545, 50980, 52623, 50975, 51722, 51346, 52902 ]

[ 0, 250, 15352, 30054, 8, 17627, 17274, 3152, 2125, 19, 10, 7212, 20889, 6, 4246, 10, 13602, 6757, 6, 2382, 3459, 8669, 6, 21072, 6, 6755, 12547, 6, 8, 1076, 560, 31365, 25999, 4, 20, 15229, 16, 11, 5, 762, 9, 381, 538, 8, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 9712, 5933, 4, 20, 33215, 16739, 9, 83, 6, 381, 6, 211, 6, 83, 6, 8, 381, 31473, 10, 1472, 9, 10563, 8, 1313, 1007, 7, 5, 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 ]

[ 57333, 54468, 51003, 51089, 51542, 50913, 50362, 50990, 52207, 70691, 51495, 51797, 51023, 51961, 50416, 51385, 52015, 51039, 56138, 57051, 51495, 52460, 51340, 51698, 55473, 55487, 51349, 51562, 51023, 71732, 50809, 66012, 51126, 50433, 51089, 67608, 51495, 51679, 50913, 52514, 50791, 54758, 51385, 51310, 66012, 58271, 51023, 51363, 50903, 50887, 69327, 59593, 51374, 50977, 51495, 56777, 50813, 66012, 51319, 54468, 59084, 50890, 52029, 51102, 52514, 51039, 56138, 57051, 51089, 51244, 50903, 50890, 64229, 55487, 51185, 51091, 50913, 60615, 51421, 65176, 51349, 50918, 51570, 79683, 66164, 51126, 53884, 50445, 51385, 50914, 51955, 50887, 69327, 79626, 51023, 69960, 51910, 51177, 66012, 51319, 50457, 78985, 53053, 59084, 50890, 52029, 51102, 52514, 50415, 51083, 51675, 51020, 51204, 51208, 51191, 54997, 52208, 68919, 52208, 51039, 56138, 51128, 51768, 50890, 64229, 55487, 51137, 51790, 50798, 50809, 66012, 51126, 50433, 51020, 51191, 51208, 51364, 51570, 79683, 51180, 56138, 51126, 50445, 51083, 51255, 50450, 51020, 71547, 50887, 69327, 59593, 51349, 50942, 51083, 73202, 50813, 66012, 51319, 50461, 57337, 52208, 66346, 52208, 53447, 50915, 51268, 50995, 50913, 50362, 50990, 52207, 70691, 51023, 51141, 56063, 51128, 53884, 51768, 50890, 64229, 70001, 51083, 51253, 51268, 55665, 51181, 51127, 66012, 60615, 59093, 51208, 50807, 51570, 79683, 50444, 51023, 51204, 50913, 60615, 62156, 55064, 54939, 51083, 51400, 51268, 51363, 69327, 73925, 54647, 51374, 60665, 50862, 66012, 51319, 50457, 51020, 65922, 54707, 52570, 76215, 52570, 70973, 51091, 51089, 64250, 50890, 52029, 51102, 52514, 50415, 51349, 51097, 51039, 56138, 51128, 51768, 50890, 64229, 55487, 51349, 51047, 51023, 51351, 51385, 67777, 50809, 66012, 51126, 51570, 79683, 50444, 51089, 51134, 66012, 58271, 51023, 51115, 50903, 50887, 69327, 51000, 53462, 50813, 66012, 51319, 54468, 51134, 51089, 74910, 50890, 52029, 51102, 52514, 51039, 56138, 79755, 51023, 51412, 50426, 51385, 51365, 50903, 50890, 64229, 64463, 51185, 69467, 51349, 51134, 51023, 66713, 50809, 66012, 51126, 51570, 79683, 50444, 51385, 51204, 66012, 58271, 51349, 51177, 51089, 61737, 50887, 69327, 59593, 51602, 50972, 66012, 51319, 50457, 51023, 50942, 53053, 50915, 51137, 51351, 51208, 51419, 51083, 54805, 50890, 52029, 51102, 52514, 54997, 52379, 68919, 52379, 50415, 51020, 50915, 51039, 56138, 51128, 51768, 50890, 64229, 55487, 51137, 51790, 51208, 51291, 51020, 51241, 66012, 60615, 50809, 51570, 79683, 50444, 51083, 51363, 66012, 58271, 51020, 76536, 50887, 69327, 59593, 51181, 50942, 51083, 71382, 50813, 66012, 51319, 53447, 50915, 51023, 58747, 50890, 52029, 51102, 52514, 57337, 51696, 66346, 51696, 50415, 51268, 51127, 51039, 56138, 57051, 64229, 64903, 54334, 51181, 51103, 51023, 58747, 50809, 66012, 51126, 51570, 79683, 50443, 51268, 51534, 50444, 51083, 51233, 50903, 55064, 55962, 60615, 54086, 51181, 51242, 51023, 51121, 51782, 51698, 57148, 51000, 50455, 51374, 50866, 51268, 51252, 51083, 72492, 66012, 71797, 50862, 54468, 50845, 51349, 51003, 51089, 52069, 51023, 50889, 51385, 61025, 50890, 52029, 51102, 52514, 54707, 55198, 76215, 55198, 56063, 51128, 53884, 50426, 64229, 64903, 54334, 51349, 51452, 51023, 51351, 51385, 76270, 50809, 66012, 51126, 51570, 79683, 51180, 56138, 58271, 51023, 51480, 50903, 50887, 69327, 59593, 51374, 50977, 51089, 63054, 50813, 66012, 51319, 54468, 50915, 51349, 51241, 51089, 50995, 51385, 73202, 50890, 52029, 51102, 52514, 50415, 51023, 51411, 56063, 51128, 53884, 51302, 55454, 59392, 56171, 51023, 54071, 50428, 51089, 52783, 50432, 72383, 51023, 52011, 51185, 51013, 52615, 51259, 54350, 50798, 50820, 62083, 53983, 53498, 56069, 51374, 50893, 51374, 51162, 51385, 50943, 51206, 52572, 53595, 51640, 51074, 51553, 55079, 51456, 53137, 51374, 77931, 50977, 52376, 51060, 51224, 54814, 67003, 50799, 51385, 51025, 52226, 57603, 50890, 52029, 51102, 52514, 50415, 51349, 51419, 51089, 51115, 51023, 51025, 51039, 56138, 63140, 52226, 50865, 51768, 50890, 64229, 70001, 51023, 51134, 51385, 51310, 50431, 52226, 59099, 51349, 50955, 66012, 60615, 52444, 51089, 51412, 52029, 51102, 52514, 50439, 51349, 51244, 52226, 63322, 73896, 53884, 50445, 51023, 75577, 51633, 65114, 51089, 51412, 50903, 50887, 69327, 70185, 52226, 50948, 53462, 50813, 66012, 51319, 50457, 51268, 78584, 52226, 51116, 59373, 50915, 51268, 51790, 51208, 51675, 52029, 51102, 50362, 50990, 55180, 50913, 51128, 53884, 50422, 52135, 78907, 51340, 51698, 55473, 55487, 51910, 51103, 51083, 50983, 66012, 60615, 52444, 50913, 52514, 50791, 50886, 51180, 56138, 51126, 50445, 51208, 70269, 69327, 73925, 66280, 51268, 79100, 51633, 50940, 66012, 51319, 54281, 68894, 51194, 51281, 51397, 51208, 51003, 50913, 50362, 50990, 52207, 70691, 51633, 51091, 51039, 56138, 63140, 51089, 61887, 50426, 51340, 51698, 55473, 64463, 52135, 58466, 51374, 68679, 50807, 66012, 60615, 50809, 54360, 51397, 51281, 58543, 52514, 50791, 67941, 52135, 79959, 51089, 51221, 66012, 51126, 50446, 52226, 68366, 51281, 51233, 69327, 73925, 50887, 50452, 51633, 59349, 51208, 54618, 50798, 50813, 66012, 51319, 50460, 52226, 61982, 51633, 50991, 54468, 51134, 51385, 51419, 51089, 51542, 51023, 51351, 52029, 51102, 50362, 50990, 50890, 51039, 56138, 79755, 52226, 51790, 51768, 50890, 64229, 55487, 51385, 51191, 51023, 51191, 51089, 55335, 60615, 51421, 65176, 51349, 51003, 51570, 79683, 50444, 51089, 51400, 50903, 55064, 55962, 60615, 54086, 51349, 51177, 51023, 51203, 69327, 73925, 64985, 52226, 51754, 51910, 50987, 51385, 63834, 50862, 66012, 51319, 63065, 50915, 51385, 51264, 52226, 59407, 50890, 52029, 51102, 52514, 56063, 51128, 53884, 50423, 52226, 50925, 51768, 50890, 64229, 70001, 51061, 50873, 51281, 50915, 50431, 52226, 58191, 52458, 76975, 60615, 51421, 50904, 62083, 51244, 51061, 51255, 52226, 50938, 52029, 51102, 52514, 51180, 56138, 51126, 50445, 51281, 51204, 50447, 52226, 65223, 51782, 51698, 56428, 79626, 51061, 70184, 52135, 59960, 66012, 71797, 57867, 51023, 60243, 51268, 51391, 51385, 51351, 52135, 51194, 55934, 64132, 50890, 52029, 51102, 52514, 51039, 56138, 79755, 51667, 51591, 51768, 50890, 64229, 55487, 51640, 67158, 51101, 51023, 50914, 51385, 62288, 50809, 66012, 51126, 55827, 51413, 52029, 51102, 52514, 50444, 51268, 51233, 73896, 53884, 50450, 51023, 51400, 69327, 73925, 66280, 51385, 58483, 50455, 52226, 57939, 51268, 50933, 70428, 53884, 70973, 51241, 51546, 51351, 51268, 71732, 50890, 52029, 51102, 52514, 50415, 51910, 51003, 52226, 78318, 56138, 73192, 52135, 52483, 64229, 64903, 69544, 51667, 65135, 51910, 59870, 51191, 51546, 51452, 51268, 58491, 50809, 66012, 70008, 52522, 51242, 55827, 51003, 52029, 51102, 52514, 66164, 51126, 53884, 50445, 51268, 51008, 51667, 65029, 51910, 51775, 51023, 50845, 51268, 51000, 51782, 51698, 56428, 51000, 50452, 52226, 51238, 50455, 51268, 51142, 63908, 71797, 51559, 60863, 51281, 51162, 51208, 51204, 51089, 51116, 52135, 51100, 54281, 69607, 57188, 51326, 59220, 53351, 50365, 53323, 51297, 50421, 52135, 51790, 50422, 51374, 62184, 51281, 52782, 51089, 64586, 51326, 53303, 56162, 78628, 78555, 51374, 53063, 51374, 68581, 56715, 55719, 78412, 62089, 51281, 68679, 78002, 50854, 54360, 53690, 65021 ]

[ 0, 250, 2635, 8, 19448, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 13305, 816, 5, 1049, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 21072, 6, 2236, 1021, 2678, 29, 6, 8, 10, 2382, 3459, 8669, 4, 20, 2125, 16, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 33215, 16739, 9, 272, 6, 211, 6, 163, 406, 6, 3676, 406, 6, 8, 230, 3639, 7, 63, 5679, 26709, 8, 8728, 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 ]

[ 61791, 53997, 61434, 51025, 56978, 50866, 53523, 51484, 76964, 50876, 51484, 55203, 51277, 76964, 50876, 51484, 50447, 51026, 52800, 50900, 51345, 50861, 62272, 50924, 50453, 50916, 69780, 50902, 54655, 57966, 53997, 51452, 50900, 51452, 50861, 51025, 54439, 52188, 57267, 51025, 71090, 55513, 54417, 51026, 52800, 50900, 51345, 50861, 62272, 50924, 50453, 50916, 69780, 50902, 54655, 57966, 53997, 51452, 50900, 51452, 69640, 52817, 61784, 52756, 55656, 52756, 70217, 53719, 51680, 57267, 51025, 71090, 50447, 51026, 54939, 51085, 80151, 66096, 55726, 50876, 53211, 50902, 54655, 57966, 53997, 51452, 50900, 51452, 50861, 51025, 52817, 56115, 52756, 64987, 53719, 60417, 53719, 52580, 76964, 50876, 51484, 50428, 52817, 52718, 76964, 50876, 51484, 53036, 72194, 52817, 56197, 51026, 50813, 53918, 55514, 51315, 71313, 51025, 71090, 50453, 55979, 54232, 54263, 57110, 53918, 50864, 54197, 51115, 50871, 51025, 53918, 50933, 50417, 53036, 51627, 53645, 51025, 71090, 50435, 51050, 52781, 51247, 51115, 51050, 51115, 50900, 51115, 50871, 51397, 50876, 51397, 50449, 53036, 57186, 53918, 50838, 53997, 51115, 50900, 71313, 66096, 51025, 53036, 59834, 53036, 53004, 52817, 50932, 53523, 51101, 50871, 66096, 51025, 71090, 50435, 50900, 52781, 51085, 51115, 50900, 51025, 50916, 66096, 51025, 55895, 51025, 50916, 77208, 53036, 66983, 54615, 50838, 53997, 51115, 50900, 51115, 50861, 51025, 53918, 54177, 52817, 52688, 50861, 51025, 71090, 52756, 70217, 53719, 51283, 50435, 51026, 52781, 51085, 51101, 50900, 51101, 50861, 51025, 71090, 50447, 51026, 52800, 51085, 80151, 66096, 55726, 50876, 53211, 50902, 54655, 57966, 53997, 51115, 50900, 51115, 50861, 51025, 52817, 56115, 52756, 64560, 53719, 60417, 53719, 52580, 68622, 72917, 50428, 52817, 51309, 50435, 56437, 50876, 50915, 50437, 53036, 51277, 55203, 56714, 50916, 60964, 52817, 53086, 50861, 54417, 51026, 50813, 53918, 52985, 51315, 71313, 51025, 71090, 50453, 55979, 54232, 54263, 54026, 53918, 50825, 54197, 51115, 50871, 51025, 53918, 56127, 53036, 51627, 53645, 51025, 71090, 50435, 51050, 52781, 51247, 51115, 51050, 51115, 50900, 51115, 50871, 51397, 50876, 51397, 50450, 53036, 57186, 53918, 50933, 53997, 51115, 50900, 51115, 50871, 66096, 51025, 53719, 54177, 53664, 53109, 53664, 51080, 53645, 66096, 51025, 71090, 50435, 52206, 52781, 52206, 51115, 51085, 51025, 50916, 52188, 50861, 52188, 50450, 51026, 80151, 51025, 57966, 53918, 59354, 50876, 53211, 65972, 54263, 56517, 57966, 53997, 51115, 50900, 51115, 50861, 51025, 74973, 79629, 50964, 51047, 55979, 51080, 51848, 51422, 54439, 51025, 50876, 59290, 51214, 51115, 51026, 51115, 50861, 51025, 75992, 74973, 51357, 51047, 50953, 51397, 54263, 78017, 53918, 58867, 51170, 54417, 51240, 52800, 50973, 50813, 54615, 78559, 51025, 51270, 75830, 57966, 54263, 66983, 50902, 54655, 57966, 51415, 50813, 53918, 50864, 53997, 51422, 50900, 51422, 71869, 72917, 76704, 79953, 51133, 51397, 53918, 51283, 51848, 51115, 50423, 71869, 72917, 58319, 66272, 54350, 50877, 59258, 50915, 51019, 52781, 51069, 51047, 60027, 51025, 50968, 51025, 51889, 75830, 53036, 72486, 54615, 50825, 53997, 51115, 50900, 66096, 51025, 74973, 79629, 50964, 51047, 53918, 52984, 50564, 51422, 50417, 52817, 51627, 53523, 66096, 62245, 53961, 50916, 68839, 54014, 51214, 51115, 51026, 79628, 66096, 51025, 74973, 51357, 51047, 51443, 51047, 50449, 52817, 52989, 51026, 79628, 71313, 51025, 50452, 53200, 68926, 53719, 65241, 52756, 51277, 53997, 51422, 50900, 51422, 68622, 51301, 51422, 51088, 51422, 50964, 51714, 51848, 51115, 50417, 53719, 51627, 50423, 50899, 52524, 50916, 55863, 50861, 52810, 50876, 54350, 50861, 52781, 72917, 50968, 51101, 50447, 50877, 60582, 54356, 51088, 51109, 51093, 51109, 51889, 75830, 72917, 50968, 62034, 50927, 54655, 50964, 50813, 52817, 50864, 53997, 51115, 50900, 51115, 71090, 50968, 51025, 74973, 79629, 52047, 51047, 50964, 51115, 55979, 50827, 53169, 51047, 52456, 51047, 51848, 51422, 50417, 51089, 51397, 50419, 55979, 53004, 51020, 51115, 50422, 54263, 53591, 51092, 51134, 50425, 55979, 55656, 71090, 50968, 51025, 50428, 54263, 67825, 53918, 56626, 50964, 56585, 54263, 51627, 50435, 50927, 52781, 51214, 51115, 51026, 51115, 75992, 73895, 74973, 51357, 51047, 51401, 51047, 50953, 51047, 55683, 50866, 52517, 60844, 51083, 51397, 50444, 51020, 51115, 56195, 50813, 55683, 61391, 54417, 51208, 51134, 54744, 50813, 53169, 60381, 52800, 75992, 73895, 55683, 51109, 52517, 51109, 50832, 51025, 51270, 51025, 50455, 54615, 65241, 53918, 50864, 58439, 51115, 51176, 51115, 75992, 50968, 51025, 51375, 51047, 51357, 51047, 51815, 51047, 51019, 51397, 54263, 50933, 51848, 51115, 50417, 51083, 51397, 50420, 51089, 51115, 54263, 55470, 51208, 51134, 55979, 57104, 75992, 50968, 51025, 50428, 54263, 62727, 53918, 53720, 51325, 58572, 54263, 52718, 51279, 51115, 51027, 51115, 65893, 71090, 51113, 51047, 79629, 52124, 51047, 51011, 51115, 50441, 51118, 51397, 50443, 53918, 53624, 51089, 51115, 50447, 51023, 69204, 50876, 50866, 51889, 51025, 50452, 52817, 62356, 52817, 53217, 50973, 50813, 50953, 57185, 52817, 56551, 57966, 51019, 50813, 54734, 51115, 51050, 51115, 74228, 68485, 51113, 51047, 79629, 51616, 51047, 50945, 51397, 53036, 51006, 53169, 51151, 52088, 51047, 51848, 51422, 50417, 51118, 51397, 50419, 53918, 54202, 51061, 51115, 50422, 53918, 76695, 51023, 51134, 50435, 50945, 52781, 51085, 51115, 50900, 51115, 78338, 69640, 74973, 79629, 52047, 51047, 51019, 51047, 55979, 50838, 51813, 51047, 50441, 51118, 51397, 50444, 51089, 51115, 54263, 56197, 51092, 51134, 54263, 52989, 53918, 64599, 55979, 51277, 54795, 51115, 51026, 51115, 72917, 50968, 51101, 74973, 51357, 51047, 51401, 51047, 50953, 51397, 55979, 50932, 52517, 51151, 51813, 51151, 51848, 51115, 50417, 51083, 51397, 50420, 51020, 51115, 72784, 51101, 50968, 51101, 51208, 51134, 50428, 58034, 50933, 50431, 55979, 53998, 50902, 65524, 50866, 50433, 54263, 55643, 50927, 58572, 54263, 79218, 51214, 51115, 51026, 51115, 75992, 73895, 79757, 51357, 51047, 51401, 51047, 51443, 51047, 50441, 51083, 51397, 50444, 51061, 51115, 50447, 51208, 69204, 50973, 51904, 50606, 75830, 50876, 53211, 50902, 61219, 52817, 50825, 53997, 51115, 50900, 51115, 71090, 50968, 51025, 74973, 79629, 52047, 51047, 50964, 51134, 55979, 50933, 53169, 51047, 52456, 51047, 51848, 51422, 50417, 51089, 51397, 50420, 51020, 51115, 55979, 53591, 51092, 51134, 54263, 53272, 71090, 50968, 51025, 55979, 50933, 50428, 54263, 67825, 53918, 52739, 50964, 54350, 50927, 50813, 54263, 79218, 51214, 51115, 51026, 51115, 75992, 73895, 74973, 51357, 51047, 51401, 51047, 50953, 51047, 55683, 50866, 52517, 60844, 51083, 51397, 50444, 51020, 51115, 56195, 50813, 55683, 61391, 54417, 51208, 51134, 54744, 50813, 53169, 60381, 52800, 75992, 73895, 55683, 51109, 52517, 51109, 50832, 51025, 51270, 58761, 54615, 54529, 53918, 50827, 58439, 51115, 51176, 51115, 75992, 50968, 51025, 51375, 51047, 51357, 51047, 51815, 51047, 51019, 51397, 54263, 52984, 50564, 51115, 50417, 51083, 51397, 50420, 51089, 51115, 54263, 53591, 51208, 51134, 55979, 55656, 75992, 50968, 51025, 50428, 54263, 61924, 54263, 63221, 53918, 53720, 51325, 58572, 54263, 56480, 51279, 51115, 51027, 51115, 65893, 71090 ]

[ 0, 250, 15352, 30054, 8, 2635, 12, 20764, 5175, 14123, 3495, 2125, 14, 7630, 6568, 10, 4845, 119, 27633, 8, 1372, 6711, 4, 20, 6755, 12547, 8, 13305, 185, 5, 483, 6, 7513, 30, 21072, 6, 579, 1517, 20426, 31365, 25999, 6, 8, 38668, 11212, 4, 23973, 11, 274, 10431, 3694, 8, 278, 7, 10, 7212, 204, 73, 306, 20889, 6, 42, 8787, 15229, 1575, 10, 33215, 16739, 9, 163, 119, 6, 230, 10431, 119, 6, 274, 10431, 119, 6, 211, 6, 8, 381, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50440, 51854, 64731, 53964, 71250, 52225, 51605, 58385, 51358, 51555, 51358, 51902, 51358, 52075, 51358, 52294, 51358, 51374, 71112, 53710, 51174, 50453, 54369, 53176, 51240, 51254, 50457, 51465, 50822, 66268, 55181, 50972, 50419, 51240, 51254, 50420, 51672, 51297, 50424, 51525, 52715, 60316, 51818, 51233, 50430, 51270, 51254, 50433, 52294, 62803, 51374, 51421, 50972, 50436, 51672, 51365, 50439, 52529, 51358, 50440, 51132, 60836, 51254, 50442, 51231, 51126, 50446, 53129, 51605, 61744, 51605, 51584, 51161, 52170, 51161, 52974, 51605, 51640, 60314, 53710, 51174, 50451, 51236, 50972, 51453, 51174, 51236, 51174, 50457, 51249, 50904, 50799, 52109, 51576, 51383, 51174, 50419, 51525, 51331, 50972, 50424, 51270, 51174, 50425, 51818, 50941, 52529, 50991, 50430, 51640, 56958, 51174, 51170, 66255, 52294, 51060, 50435, 51170, 50972, 50440, 51672, 51000, 51457, 50904, 51838, 51358, 55873, 52382, 51902, 53520, 51612, 52045, 52974, 53520, 51622, 52382, 51910, 55755, 53710, 51174, 50446, 51240, 51174, 50451, 56644, 50456, 51240, 51174, 78322, 51662, 51525, 52715, 51174, 50419, 51410, 50933, 51270, 50838, 50424, 51719, 50941, 52414, 51048, 51910, 51370, 51174, 50429, 51249, 64408, 50801, 65924, 51006, 50434, 51672, 54034, 51838, 51291, 51910, 71112, 53710, 51174, 50440, 51457, 63839, 67446, 52948, 50844, 55894, 51174, 51236, 57299, 52287, 67235, 50801, 50865, 51383, 59781, 52187, 50918, 51529, 51060, 51525, 51331, 50972, 50799, 51270, 51006, 50415, 68879, 50419, 51910, 61136, 69734, 75570, 52529, 51060, 50424, 50856, 63977, 52688, 51981, 77045, 53927, 60137, 52690, 51244, 50430, 51615, 51605, 58128, 51358, 51902, 51605, 51612, 51605, 51622, 51358, 51137, 71112, 53710, 51174, 50435, 51240, 51254, 50440, 51555, 51358, 56644, 50446, 51240, 67042, 51410, 70792, 51525, 52715, 51174, 50455, 51457, 53820, 51270, 51079, 50460, 51672, 51000, 50799, 52529, 50865, 51137, 58101, 51174, 50419, 51622, 65924, 51254, 50422, 52109, 50907, 51249, 64367, 52326, 51447, 50424, 51656, 51036, 58385, 51605, 51584, 51605, 52170, 51605, 52075, 51605, 52529, 51358, 51349, 55755, 51370, 50972, 50430, 51236, 51174, 51556, 51174, 51236, 51174, 50440, 51383, 69655, 51465, 51254, 50445, 51525, 51331, 55437, 56461, 67235, 51270, 70347, 51288, 50865, 51349, 56958, 51174, 51170, 51174, 50461, 57726, 51170, 50972, 52478, 53655, 51862, 50419, 52332, 51358, 55873, 51605, 51584, 52045, 51612, 52045, 52974, 52045, 51529, 52045, 51181, 71112, 53710, 51174, 50424, 57494, 61103, 51174, 51532, 50972, 50430, 59969, 57869, 54310, 65881, 51174, 50440, 51410, 52431, 52287, 50372, 55913, 52715, 51174, 50445, 52948, 50933, 51270, 52985, 51818, 51210, 50451, 52033, 50865, 52332, 65961, 51370, 51174, 50455, 52948, 51142, 65095, 65924, 51006, 50460, 51457, 65540, 51881, 51605, 54030, 50918, 51181, 51291, 63890, 50972, 53069, 51236, 51006, 50424, 51719, 67700, 51174, 51236, 67012, 55450, 51383, 68232, 51719, 51852, 52594, 51421, 51174, 50440, 51181, 60761, 50865, 51289, 50865, 51335, 51091, 51270, 51006, 50445, 51266, 50865, 51733, 59553, 69734, 57299, 51600, 50978, 52405, 50978, 51289, 61583, 51170, 53581, 52033, 51605, 58128, 51291, 51555, 52045, 51567, 52045, 52075, 53520, 51416, 51358, 51266, 52903, 51733, 52903, 50801, 53710, 51174, 51206, 53520, 50461, 51240, 51254, 52478, 51476, 51445, 56644, 50424, 51240, 51254, 50428, 51231, 56789, 58385, 50983, 51525, 52715, 51174, 50434, 51327, 61943, 51079, 50439, 51457, 69506, 51416, 58101, 51174, 50443, 51818, 59002, 51270, 51254, 50449, 51818, 52805, 51711, 51161, 55199, 51161, 51416, 51358, 63890, 50972, 50454, 51981, 53007, 51236, 51174, 50461, 50791, 51174, 51236, 51174, 52177, 53171, 72593, 51383, 50972, 50422, 56461, 51679, 50424, 51525, 52715, 51174, 50429, 51270, 51174, 50434, 52225, 51048, 51416, 50991, 51093, 50805, 51304, 52201, 50972, 51170, 50972, 50440, 51266, 50917, 51733, 74508, 51174, 50445, 51838, 51358, 61744, 51291, 52089, 52045, 51902, 52045, 51612, 52045, 51910, 50918, 51107, 52919, 51384, 52919, 50801, 53710, 64533, 51240, 70347, 52571, 51748, 56644, 50461, 51249, 71402, 51174, 52478, 55873, 51291, 51525, 52715, 51174, 50419, 51672, 62184, 51457, 50367, 52051, 77829, 51818, 58594, 52187, 51036, 51910, 59218, 51174, 50434, 52948, 54715, 65924, 51006, 50439, 52287, 68167, 56660, 51358, 51910, 51358, 63890, 57997, 53927, 57013, 51236, 57299, 54310, 55316, 51174, 51236, 51006, 50454, 56461, 55735, 55450, 51383, 50838, 50460, 64746, 61561, 51491, 51101, 51600, 51101, 51525, 52715, 51174, 52478, 51270, 61784, 51357, 51242, 51558, 51242, 50424, 51910, 61136, 63977, 63794, 51107, 51242, 51384, 51242, 50429, 50856, 69734, 51006, 50433, 52109, 64248, 52326, 52431, 51249, 51126, 51656, 51605, 58385, 51358, 51584, 51605, 52170, 51605, 52075, 51605, 51349, 51358, 51488, 52151, 51905, 52151, 50801, 53710, 51174, 50440, 51240, 51079, 50445, 50791, 64533, 51240, 51254, 50455, 51465, 56109, 51525, 52715, 51174, 50460, 56461, 61982, 51270, 51079, 52177, 52287, 68349, 58358, 51060, 51349, 56958, 51174, 50422, 53927, 73309, 51270, 51254, 50428, 52690, 51080, 50429, 52187, 51605, 55873, 51291, 51555, 51358, 51902, 51358, 51612, 51358, 51137, 51358, 51266, 51452, 51733, 51452, 63890, 50972, 50434, 51236, 51174, 50440, 51410, 51806, 50791, 51174, 51236, 51174, 50445, 51383, 55437, 54310, 51309, 54876, 50809, 56660, 50830, 51525, 52715, 70347, 51270, 51174, 50457, 51488, 51111, 51905, 51111, 50461, 51137, 51048, 56644, 51170, 50972, 51809, 51266, 51242, 51733, 51242, 50418, 51170, 51174, 50424, 58358, 51161, 52089, 51605, 51902, 51605, 52170, 51605, 51640, 51605, 51600, 51945, 52405, 51945, 52060, 60329, 52060, 58607, 52060, 57307, 52102, 52916, 52414, 50807, 51553, 52444, 51719, 52140, 51553, 54790, 51553, 52510, 51672, 71583, 52187, 50991, 51456, 59787, 51456, 59248, 52109, 51128, 50452, 51456, 54139, 51672, 55293, 52109, 50863, 52414, 51112, 51224, 53793, 51224, 50809, 51601, 51224, 59748, 51863, 51091, 54876, 51091, 52089, 51161, 51722, 51358, 52170, 51358, 50804, 60751, 59969, 50837, 53924, 65213, 51456, 70425, 51224, 55178, 55602, 50860, 51326, 51923, 53771, 60340, 75331, 55602, 51059, 52187, 69584, 51091, 50989, 51091, 50973, 50983, 51324, 59770, 51174, 51206, 52382, 52478, 51240, 51079, 50424, 51378, 52959, 51174, 50429, 51240, 51254, 50434, 56213, 72114, 76551, 56190, 57358, 51331, 50972, 50440, 51270, 51254, 50441, 56213, 67505, 50791, 51174, 50448, 56213, 54554, 51270, 59111, 53863, 51009, 50916, 50809, 57031, 69315, 51315, 79000, 51174, 50461, 51236, 51174, 52478, 51086, 51291, 50791, 51174, 51236, 51174, 50423, 51383, 66665, 50916, 51060, 51525, 52715, 51174, 50434, 50968, 65924, 51174, 50439, 53771, 64726, 50967, 56644, 51170, 50972, 50445, 53077, 59021, 55507, 64533, 53771, 51029, 50877, 50983, 51028, 50983, 51378, 59770, 51174, 50455, 51240, 50972, 50461, 51040, 60194, 51174, 52478, 50989, 51060, 51240, 51174, 50423, 50968, 70002, 50983, 51028, 50983, 51525, 51331, 66665, 51270, 51006, 50434, 55343, 55188, 51174, 50439, 51270, 67446, 55343, 51029, 61783, 57213, 51324, 59770, 64533, 51236, 51006, 50455, 56644, 51236, 67163, 51378, 51112, 51383, 51006, 52478, 55343, 52035, 50303, 50830, 51525, 52715, 51174, 50423, 69315, 51270 ]

[ 0, 250, 15352, 30054, 5175, 2125, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 6755, 12547, 6, 38668, 22052, 6, 3459, 13305, 6, 8, 3459, 9590, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 1614, 1073, 1020, 20889, 6, 2351, 10, 19448, 8, 5679, 26709, 5466, 4, 20, 33215, 16739, 9, 230, 6, 1918, 406, 6, 381, 73, 597, 10431, 6, 163, 406, 6, 8, 163, 401, 3639, 7, 63, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57528, 50454, 53897, 50897, 50455, 50964, 61076, 53795, 50897, 71926, 50799, 56734, 50897, 51207, 51692, 50960, 53866, 50970, 51662, 51443, 51538, 50415, 50947, 51692, 51032, 51677, 50420, 51384, 50873, 52158, 50813, 54057, 50813, 54337, 50836, 57655, 50836, 71519, 64088, 52870, 51304, 50873, 51816, 50836, 52930, 50836, 53826, 50836, 58385, 50857, 63132, 65357, 52667, 51284, 51221, 51890, 50812, 52569, 50812, 52930, 50836, 55199, 50813, 57716, 56598, 53116, 51201, 51124, 52003, 50836, 52092, 50836, 52569, 50836, 54030, 50864, 57655, 71016, 53041, 51107, 51100, 52158, 50828, 52092, 50836, 53775, 50813, 55873, 56598, 53083, 51182, 51103, 52951, 50828, 52126, 51103, 52627, 51103, 51246, 51447, 50986, 51314, 50960, 51314, 50998, 51080, 50947, 51080, 58128, 51742, 50964, 51103, 51065, 50841, 55746, 53643, 50812, 53805, 50827, 51228, 53229, 55001, 52003, 50812, 51444, 50827, 50927, 55718, 52818, 51890, 50812, 51504, 50827, 50945, 55718, 54248, 52775, 50812, 52028, 50827, 51213, 55718, 52621, 51771, 50812, 51207, 50827, 50953, 55718, 54656, 53168, 50991, 51207, 51692, 50960, 53866, 50970, 51662, 50947, 51692, 51032, 51677, 51443, 51518, 51065, 54926, 51384, 50873, 52158, 50813, 54057, 50813, 54337, 50812, 57655, 50836, 71519, 64088, 55647, 51304, 50873, 51816, 50813, 52930, 50813, 53826, 50857, 58385, 50857, 63132, 65357, 54814, 51284, 51221, 51890, 50810, 52569, 50810, 52930, 50813, 55199, 50813, 57716, 56598, 50841, 52177, 51201, 51124, 52003, 50862, 52092, 50862, 52569, 50862, 54030, 50864, 57655, 71016, 54477, 51107, 51100, 52951, 50844, 52158, 50834, 52092, 50813, 53775, 50813, 55873, 56598, 55739, 51182, 51486, 52126, 51742, 52627, 51742, 51246, 52783, 50986, 52168, 50960, 52168, 50998, 51680, 50947, 51680, 53807, 51448, 58128, 51448, 50964, 51359, 51065, 50841, 52552, 51065, 51306, 50416, 51065, 51129, 50417, 51065, 51129, 50418, 51065, 54605, 51065, 58640, 51065, 53991, 51065, 61599, 51065, 50825, 57211, 52690, 52151, 52303, 52151, 51410, 52151, 51443, 51591, 53080, 51502, 51406, 56260, 51303, 52151, 51249, 52151, 51327, 52151, 50420, 51207, 51592, 63192, 52992, 50960, 51680, 55722, 57265, 50970, 51680, 53782, 51437, 52539, 56802, 50947, 60934, 51064, 51283, 52455, 53594, 51067, 50932, 50953, 51221, 59491, 53495, 53068, 51960, 50453, 50927, 68429, 52455, 53495, 50839, 71965, 50905, 51410, 50892, 51303, 50845, 51249, 50974, 50964, 51351, 52455, 57226, 50960, 52335, 50420, 50998, 51592, 63192, 52992, 51169, 51592, 55722, 53575, 51067, 51680, 50964, 53097, 51437, 52539, 52950, 52303, 50901, 51410, 50901, 51465, 50901, 51651, 50901, 51292, 51627, 50964, 51241, 52455, 53594, 59491, 53495, 53068, 69714, 50953, 50901, 54003, 52539, 50839, 50799, 52326, 51939, 51476, 52140, 51465, 52140, 51231, 51318, 51327, 51318, 51818, 51318, 51069, 51241, 52455, 53420, 55722, 53495, 52992, 51131, 52140, 70199, 51311, 52783, 51069, 53704, 51437, 52539, 52950, 50986, 51447, 51069, 50914, 52455, 56432, 50903, 68619, 53495, 54525, 51981, 50812, 51955, 51239, 56597, 50964, 52955, 78982, 54003, 52539, 50839, 67718, 51310, 51303, 51477, 51651, 51477, 51672, 51318, 51818, 51318, 51796, 50943, 52006, 51502, 51044, 64706, 53495, 52992, 50970, 51680, 55722, 53575, 51169, 52015, 51796, 53530, 51437, 52539, 52950, 51292, 51627, 51796, 50943, 52455, 53594, 51410, 50822, 51303, 50912, 51651, 50827, 51672, 50827, 51457, 50822, 51067, 51749, 59491, 53495, 53068, 69714, 51325, 53530, 51179, 53495, 50839, 72412, 51662, 52303, 52140, 51410, 52140, 51303, 51677, 51249, 51422, 51327, 51803, 51443, 51241, 52006, 51502, 51044, 64706, 53495, 61266, 51207, 52015, 51768, 51044, 57265, 50960, 51244, 66962, 51413, 54003, 52539, 52950, 50970, 51542, 52455, 53594, 51067, 51480, 59491, 53495, 53068, 50947, 50995, 51960, 50453, 50927, 66313, 52455, 53495, 50839, 71965, 51534, 51410, 51363, 51465, 51363, 51249, 51412, 50964, 51191, 52455, 64706, 53495, 52992, 50986, 51680, 55722, 53575, 50947, 52015, 75908, 54003, 52539, 52950, 55349, 50838, 52303, 51172, 52102, 50974, 51465, 50905, 51249, 50845, 50929, 51477, 51213, 51241, 52455, 53594, 59491, 53495, 53068, 69714, 51213, 50873, 54003, 52539, 50839, 50799, 54369, 50932, 51410, 51637, 51465, 51397, 51231, 51397, 51414, 51749, 51019, 51241, 52455, 53420, 55722, 53495, 50839, 51544, 60286, 50902, 53193, 51019, 53530, 51437, 52539, 56802, 50968, 50905, 50436, 73754, 56903, 51241, 52455, 56432, 50951, 71424, 68619, 53495, 54525, 51147, 61444, 50999, 51141, 51955, 51239, 53553, 73491, 54003, 52539, 50839, 71965, 51662, 52102, 51662, 51687, 52431, 51231, 51351, 51249, 51351, 51105, 51124, 52006, 51502, 51044, 64706, 53495, 60682, 51105, 50833, 51768, 51044, 57265, 51399, 53627, 51405, 50812, 51105, 53530, 51437, 52539, 54487, 51399, 56057, 51787, 50846, 51105, 51218, 52404, 51502, 51044, 60470, 51487, 51121, 54268, 53594, 59491, 53495, 54525, 51814, 60775, 50870, 51955, 51044, 50870, 54710, 53553, 52455, 53495, 54625, 50843, 50870, 71965, 51080, 51410, 51080, 51303, 51172, 51249, 51363, 51457, 51412, 51096, 51241, 53080, 51502, 59325, 51039, 53495, 50839, 51768, 51044, 53575, 51096, 54376, 51437, 52539, 52950, 51096, 51241, 52455, 53594, 51457, 50851, 51825, 50844, 52287, 59904, 51239, 53495, 53068, 51960, 50453, 52775, 50835, 51771, 56974, 51096, 50873, 52455, 53495, 54625, 51816, 50866, 78322, 51080, 51410, 51080, 51303, 51534, 51651, 51172, 51672, 51172, 51457, 51534, 51205, 51241, 52455, 57226, 51890, 51742, 51039, 53495, 50839, 51768, 51044, 53575, 51205, 53704, 51437, 52539, 52950, 51825, 50844, 51205, 51191, 52455, 53594, 59491, 53495, 53068, 51960, 50453, 51205, 52955, 70296, 54003, 52539, 50839, 61323, 51534, 51303, 51645, 51249, 51363, 51327, 51534, 50964, 51191, 52455, 53420, 55722, 53495, 50839, 51544, 53575, 50964, 53704, 51437, 52539, 52950, 51825, 50854, 50964, 51191, 52455, 56432, 50903, 68619, 53495, 50839, 51955, 51239, 53553, 50964, 53704, 51437, 52539, 50839, 50799, 53655, 52015, 51465, 50905, 51303, 50974, 51249, 50892, 50927, 51591, 52006, 51502, 51044, 64706, 53495, 52992, 51890, 50892, 55722, 53575, 51410, 51330, 51771, 50873, 54003, 52539, 52950, 51249, 50822, 51816, 51221, 52455, 53594, 51019, 51124, 59491, 53495, 54525, 51959, 54230, 51327, 51589, 56597, 52092, 51221, 50945, 53702, 52455, 53495, 50839, 78322, 51592, 51410, 52431, 51719, 52263, 51249, 51448, 52109, 51080, 51818, 51627, 51816, 51452, 53464, 51680, 52577, 51452, 51205, 51486, 52006, 51502, 51044, 64706, 53495, 50839, 51768, 51044, 53575, 54003, 52539, 50839, 51658, 51179, 53594, 51818, 50810, 52427, 60629, 51239, 53495, 54525, 52092, 53938, 52577, 50862, 51960, 50453, 52930, 50813, 50927, 52955, 58941, 50854, 66062, 52455, 53495, 54625, 57509, 50855, 61357, 51680, 51465, 51680, 51719, 51080, 51414, 51145, 51457, 51244, 50653, 50344, 50841, 51019, 51191, 52455, 64706, 53495, 50839, 51768, 51044, 53575, 70498, 54003, 52539, 52950, 51205, 51221, 52455, 53594, 51818, 58713, 51239, 53495, 53068, 51415, 50849, 69714, 70498, 54003, 52539, 50839, 50799, 52326, 50851, 52102, 50851, 51465, 50912, 51719, 50851, 51672, 50822, 51818, 50912, 62458, 66747, 51292, 50827, 51786, 50827, 53568, 50827, 61777, 50827, 51011, 51241, 52455, 55454, 53227, 55722, 53495, 54446 ]

[ 0, 4688, 14899, 5175, 2214, 19, 10, 3495, 2712, 6, 4246, 38668, 22052, 6, 21979, 9590, 6, 81, 9756, 8, 36075, 29589, 6, 8, 38668, 20535, 4, 8504, 11, 163, 428, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 2351, 10, 20902, 8, 20425, 5466, 4, 20, 33215, 16739, 9, 274, 119, 6, 230, 10431, 401, 6, 12608, 401, 6, 274, 119, 6, 8, 230, 10431, 401, 3639, 7, 63, 15352, 30054, 8, 2365, 619, 6, 5203, 11, 10, 1313, 8, 1372, 8859, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55189, 54805, 55534, 53391, 50910, 54346, 62714, 53391, 50866, 54346, 54278, 55566, 50833, 57196, 53627, 55566, 50987, 57196, 58346, 52544, 51077, 53391, 50925, 54346, 59083, 52267, 53391, 50977, 54346, 59881, 55566, 50878, 57196, 58325, 55566, 50866, 57196, 50866, 50799, 55189, 50807, 53391, 50897, 54346, 57277, 52302, 53391, 50897, 54346, 55640, 54326, 51121, 55566, 50878, 57196, 56799, 55189, 51003, 55566, 50987, 57196, 59810, 52565, 53391, 50897, 54346, 57277, 52267, 52544, 51101, 53391, 50925, 54346, 58460, 55189, 51121, 55566, 50833, 57196, 53920, 54326, 51177, 55566, 50937, 57196, 50937, 50799, 54843, 50914, 53391, 50917, 54346, 50917, 55094, 50415, 53391, 50910, 54346, 62714, 53391, 50866, 54346, 54278, 54326, 51121, 55566, 50833, 57196, 53627, 55566, 50987, 57196, 50987, 50433, 55189, 53912, 53391, 50925, 54346, 59083, 52267, 53391, 50977, 54346, 50977, 50445, 52544, 54230, 55566, 50878, 57196, 77836, 53761, 57313, 53761, 50854, 55566, 50866, 57196, 50866, 50799, 53761, 50805, 53391, 50897, 54346, 57277, 52302, 52544, 50910, 53391, 50897, 54346, 55640, 52544, 50942, 55566, 50878, 57196, 56799, 52544, 51121, 55566, 50987, 57196, 59810, 52565, 53391, 50897, 54346, 57277, 52267, 53391, 50925, 54346, 58460, 55566, 50833, 57196, 53920, 55566, 50937, 57196, 50937, 50799, 55189, 51127, 53391, 50917, 54346, 50917, 55094, 50415, 53391, 50910, 54346, 62714, 53391, 50866, 54346, 54278, 55566, 50833, 57196, 53627, 55566, 50987, 57196, 58346, 52544, 51127, 53391, 50925, 54346, 59083, 52267, 53391, 50977, 54346, 59881, 55566, 50878, 57196, 58325, 55566, 50866, 57196, 50866, 50799, 55189, 50914, 53391, 50897, 54346, 57277, 52302, 53391, 50897, 54346, 55640, 54326, 50845, 55566, 50878, 57196, 56799, 55189, 51003, 55566, 50987, 57196, 59810, 52565, 53391, 50897, 54346, 57277, 52267, 53391, 50925, 54346, 50925, 50445, 52544, 65295, 55189, 51101, 55566, 50833, 57196, 53920, 54326, 51177, 55566, 50937, 57196, 50937, 50799, 54843, 51111, 53391, 50917, 54346, 50917, 55094, 50415, 53391, 50910, 54346, 62714, 54326, 51177, 53391, 50866, 54346, 54278, 55566, 50833, 57196, 62209, 55189, 53193, 55189, 50943, 55566, 50987, 57196, 58346, 53391, 50925, 54346, 59083, 52267, 52544, 50901, 53391, 50977, 54346, 59881, 53761, 50897, 55566, 50878, 57196, 58325, 53761, 50844, 55566, 50866, 57196, 50866, 50799, 53761, 50795, 53391, 50897, 54346, 57277, 52302, 52544, 50878, 53391, 50897, 54346, 55640, 52544, 50925, 55566, 50878, 57196, 56799, 52544, 50795, 55566, 50987, 57196, 59810, 52565, 53391, 50897, 54346, 57277, 52267, 55189, 50910, 53391, 50925, 54346, 58460, 54326, 50830, 55566, 50833, 57196, 53920, 58342, 50925, 55566, 50937, 57196, 50937, 50799, 51969, 50812, 51943, 50910, 55094, 50415, 61892, 50893, 56417, 50910, 56654, 62714, 60791, 50808, 56417, 50866, 56654, 54278, 60791, 50858, 56806, 50833, 56553, 53627, 60791, 50921, 56806, 50987, 56553, 50987, 51969, 50845, 51943, 53264, 56417, 50925, 56654, 50925, 52971, 53071, 52267, 56417, 50977, 56654, 59881, 54326, 50808, 56806, 50878, 56553, 58325, 58342, 50836, 56806, 50866, 56553, 50866, 50799, 61892, 50948, 56417, 50897, 56654, 50897, 51969, 50833, 51943, 52972, 52302, 60791, 50840, 56417, 50897, 56654, 50897, 50425, 60791, 53950, 56806, 50878, 56553, 56799, 60791, 50821, 56806, 50987, 56553, 59810, 57201, 51943, 50845, 51969, 58151, 56417, 50897, 56654, 50897, 52971, 56411, 52267, 56417, 50925, 56654, 50925, 50445, 54326, 62955, 53034, 50892, 52398, 58262, 54911, 50833, 56335, 50833, 52023, 67447, 58342, 70372, 58325, 54911, 50833, 56335, 62474, 61892, 51238, 50799, 52023, 50955, 51856, 51177, 53034, 51194, 52398, 50955, 55094, 50415, 53391, 50910, 54346, 62714, 61892, 50830, 53391, 50866, 54346, 50866, 52547, 73555, 51497, 50925, 51583, 50942, 52072, 56307, 60791, 50800, 55566, 50833, 57196, 53627, 58342, 51345, 55566, 50987, 57196, 58346, 53391, 50925, 54346, 50925, 51583, 51330, 55094, 50439, 52072, 51400, 52547, 51377, 50444, 54326, 50854, 53391, 50977, 54346, 59881, 55189, 50859, 55566, 50878, 57196, 58325, 54326, 50830, 55566, 50866, 57196, 50866, 50799, 53391, 50897, 54346, 50897, 51498, 68495, 52302, 53391, 50897, 54346, 50897, 51498, 51645, 50426, 55566, 50878, 57196, 56799, 55566, 50987, 57196, 50987, 51498, 68495, 52565, 53391, 50897, 54346, 50897, 52551, 73016, 52267, 53391, 50925, 54346, 50925, 50445, 54326, 54276, 58342, 50808, 55566, 50833, 57196, 53920, 61892, 51013, 55566, 50937, 57196, 50937, 50799, 53391, 50917, 55094, 50415, 56417, 50910, 56654, 50910, 51969, 50833, 51943, 60872, 56417, 50866, 56654, 74027, 60791, 53425, 56806, 50833, 56553, 62209, 60791, 53974, 56806, 50987, 56553, 50987, 51969, 50905, 51943, 70488, 60791, 59826, 56417, 50925, 56654, 50925, 52971, 53632, 52267, 56417, 50977, 56654, 59881, 56806, 50878, 56553, 77836, 54326, 57939, 58342, 50854, 56806, 50866, 56553, 50866, 50799, 61892, 50948, 56417, 50897, 56654, 50897, 51943, 50810, 51969, 53948, 52302, 60791, 50812, 56417, 50897, 56654, 55640, 60791, 50800, 56806, 50878, 56553, 75024, 60791, 57748, 56806, 50987, 56553, 59810, 57201, 51969, 50905, 51943, 53913, 56417, 50897, 56654, 50897, 52971, 55576, 52267, 56417, 50925, 56654, 50925, 50445, 54326, 52843, 58342, 50833, 54911, 50833, 56335, 50833, 52023, 50844, 51856, 50810, 52398, 50901, 53034, 52961, 61892, 51215, 54911, 50833, 56335, 50833, 50799, 52023, 50892, 51856, 50901, 53034, 53834, 55534, 53391, 50910, 54346, 50910, 51701, 55772, 61892, 50859, 53391, 50866, 54346, 50866, 51583, 50901, 51497, 50925, 50421, 52072, 50917, 52547, 56800, 60791, 50890, 55566, 50833, 57196, 53627, 60791, 51111, 55566, 50987, 57196, 58346, 53391, 50925, 54346, 50925, 51583, 51330, 52072, 50873, 52547, 53834, 58772, 54843, 54746, 53391, 50977, 54346, 50977, 50449, 60791, 51757, 55566, 50878, 57196, 50878, 50455, 61892, 57830, 55566, 50866, 57196, 50866, 50799, 53391, 50897, 54346, 50897, 51498, 68495, 52302, 53391, 50897, 54346, 50897, 51498, 51645, 50426, 55566, 50878, 57196, 56799, 55566, 50987, 57196, 50987, 51498, 68495, 52565, 53391, 50897, 54346, 50897, 52551, 73016, 52267, 53391, 50925, 54346, 58460, 55566, 50833, 57196, 53920, 55566, 50937, 57196, 50937, 50799, 53391, 50917, 54346, 50917, 51320, 54925, 52157, 50808, 51569, 50858, 53289, 55180, 52157, 50901, 51569, 53330, 58158, 53289, 53383, 51261, 50897, 66749, 52529, 78609, 52209, 51548, 50844, 52529, 54220, 57201, 51261, 58020, 52157, 50910, 78255, 51634, 51730, 50898, 52210, 52157, 50866, 51143, 50886, 51634, 53111, 57868, 51348, 51757, 51261, 50910, 51843, 53497, 51044, 52349, 51261, 50905, 65746, 51843, 54447, 56904, 56161, 59670, 50910, 51634, 51730, 50898, 58100, 51143, 54657, 52157, 50937, 51634, 51539, 52437, 51261, 50925, 51511, 50800, 51849, 54047, 51044, 52209, 51261, 50892, 55391, 51843, 51730, 51044, 52565, 52157, 50910, 51348, 50864, 51843, 53618, 50898, 58431, 51521, 52510, 52157, 50942, 51569, 52873, 57868, 51521, 53153, 51261, 50925, 51569, 50921, 54161, 52349, 51261, 50866, 65349, 51569, 53065, 50818, 59670, 50897, 51521, 50821, 51569, 69446, 52432, 52157, 54068, 58158, 51521, 52872, 51261, 50925, 51521, 50857, 51569, 53352, 51044, 52209, 51261, 50901, 51521, 50858, 51569, 52189, 52565, 52157 ]

[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 25306, 8, 9066, 5466, 6, 4246, 10, 6755, 12547, 6, 12280, 3275, 1725, 3109, 6, 17691, 28430, 6, 6168, 3540, 6, 8, 18558, 4, 20, 2125, 16, 278, 11, 163, 428, 538, 19, 10, 2635, 20889, 9, 6657, 741, 1685, 6, 2351, 10, 19448, 8, 3722, 13569, 9862, 4, 20, 16331, 33215, 16739, 9, 211, 119, 6, 163, 428, 6, 163, 37152, 6, 8, 163, 428, 4620, 5, 46336, 4811, 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 ]

[ 57128, 50799, 53382, 50795, 52292, 50918, 53324, 50918, 52626, 78099, 75361, 54081, 50795, 53499, 51631, 66262, 50807, 54307, 52424, 52049, 50918, 52443, 50918, 58683, 51036, 53718, 52045, 50799, 53324, 50918, 51975, 56039, 52443, 50918, 53634, 50918, 50799, 52205, 50795, 53324, 50918, 51975, 50918, 52137, 52115, 52342, 50795, 52036, 51631, 53382, 50807, 52626, 52424, 52292, 50918, 53634, 50918, 54081, 51036, 53499, 52045, 50799, 53324, 50918, 52044, 56039, 52049, 50918, 52416, 50918, 50799, 52776, 51492, 55774, 52045, 50426, 51711, 50807, 52340, 50807, 53129, 50807, 52626, 50807, 54339, 50896, 79252, 52424, 51863, 52045, 51838, 52045, 52137, 52045, 52735, 52045, 52886, 54089, 68919, 50807, 50799, 51224, 50811, 50799, 53623, 51492, 56539, 52045, 50426, 51838, 50807, 52036, 50807, 52735, 50807, 52886, 50807, 53718, 50896, 50665, 50326, 52424, 51711, 52045, 52340, 52045, 53188, 52045, 52626, 52045, 54339, 54089, 79252, 52045, 76502, 59980, 51430, 69453, 51430, 50809, 51430, 54745, 51430, 59748, 51430, 59182, 51430, 50809, 51430, 52628, 51430, 61291, 51430, 58741, 51430, 50809, 51430, 53467, 51430, 59474, 51430, 58067, 51430, 50809, 51430, 52329, 51430, 60329, 51430, 63601, 51430, 50809, 51430, 54056, 51430, 57766, 51430, 58607, 51430, 50809, 51430, 52359, 51430, 59093, 51430, 57307, 51430, 50809, 51430, 53307, 51430, 59079, 51430, 58291, 51430, 50809, 51430, 52444, 51430, 59360, 51430, 63453, 51430, 50809, 51430, 54790, 51430, 58344, 51430, 59586, 51430, 50809, 51430, 52510, 51430, 61189, 51430, 57993, 51430, 50809, 51430, 53401, 51430, 59787, 51430, 59248, 51430, 50809, 51430, 52555, 51430, 60949, 51430, 63602, 51430, 50809, 51430, 54139, 51430, 57637, 51430, 59310, 51430, 50809, 51430, 52485, 51430, 59567, 51430, 58839, 51430, 50809, 51430, 53793, 51430, 59107, 51430, 57747, 51430, 50809, 51430, 50809, 50799, 52776, 51492, 51430, 50809, 55774, 52045, 50415, 51430, 69453, 51430, 50809, 51430, 54745, 51430, 59748, 51430, 59182, 51430, 50809, 51430, 52329, 51711, 50807, 52340, 50807, 53129, 50807, 52626, 50807, 54339, 50896, 79252, 52424, 51863, 52045, 51838, 52045, 52137, 52045, 52735, 52045, 52886, 54089, 68919, 50807, 50799, 51224, 50811, 50799, 52907, 51492, 55123, 52045, 50426, 52255, 50807, 51838, 50807, 53188, 50807, 53188, 50807, 52886, 50896, 68919, 52424, 52255, 52045, 51711, 52045, 52036, 52045, 53188, 52045, 52626, 54089, 66929, 50807, 76502, 59980, 51430, 69453, 51430, 50809, 51430, 54745, 51430, 59748, 51430, 59182, 51430, 50809, 51430, 52628, 51430, 61291, 51430, 58741, 51430, 50809, 51430, 53467, 51430, 59474, 51430, 58067, 51430, 50809, 51430, 52329, 51430, 60329, 51430, 63601, 51430, 50809, 51430, 54056, 51430, 57766, 51430, 58607, 51430, 50809, 51430, 52359, 51430, 59093, 51430, 57307, 51430, 50809, 51430, 53307, 51430, 59079, 51430, 58291, 51430, 50809, 51430, 52444, 51430, 59360, 51430, 63453, 51430, 50809, 51430, 54790, 51430, 58344, 51430, 59586, 51430, 50809, 51430, 52510, 51430, 61189, 51430, 57993, 51430, 50809, 51430, 53401, 51430, 59787, 51430, 59248, 51430, 50809, 51430, 52555, 51430, 60949, 51430, 63602, 51430, 50809, 51430, 54139, 51430, 57637, 51430, 59310, 51430, 50809, 51430, 52485, 51430, 59567, 51430, 58839, 51430, 50809, 51430, 53793, 51430, 59107, 51430, 57747, 52371, 52097, 51430, 50809, 51430, 50809, 50799, 52443, 50845, 51088, 51134, 51165, 51134, 51107, 51134, 51182, 51134, 52776, 55856, 51699, 52149, 51430, 76058, 62192, 51430, 69453, 51430, 50809, 51430, 54745, 51430, 59748, 51430, 59182, 51430, 50809, 51430, 52628, 52242, 50905, 52170, 51631, 52443, 50795, 79331, 52792, 51048, 50437, 52481, 52097, 50438, 52443, 50845, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 51612, 51918, 52242, 50905, 52170, 51798, 52443, 50795, 52895, 50795, 52792, 51048, 50461, 52830, 52097, 50799, 52443, 50845, 51088, 51134, 51165, 51134, 51266, 51134, 51182, 51134, 51612, 52115, 52242, 50905, 52170, 51631, 52443, 50795, 52416, 50795, 53755, 50807, 50437, 52481, 52097, 50438, 52443, 50845, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 52290, 52045, 50450, 52443, 50795, 52895, 69189, 52371, 52097, 63441, 51134, 51165, 51134, 51107, 51134, 51182, 72038, 52443, 50795, 79331, 53602, 51021, 52203, 50865, 53767, 51021, 50437, 52481, 52097, 50438, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 53602, 50918, 52203, 50918, 55132, 51527, 50450, 52443, 50795, 52895, 69189, 52830, 52097, 63441, 51134, 51165, 51134, 51266, 51134, 51182, 72038, 52443, 50795, 52416, 50795, 52795, 51021, 52203, 50865, 56940, 51021, 50437, 52481, 52097, 50438, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 53602, 50918, 52203, 50918, 55132, 51527, 50450, 52443, 50795, 52895, 69189, 52371, 52097, 50799, 52443, 50845, 51088, 51134, 51165, 51134, 51107, 51134, 51182, 51134, 52776, 55856, 51699, 52149, 51612, 52115, 52242, 50905, 52170, 51631, 52443, 50795, 79331, 52792, 51048, 50437, 52481, 52097, 50438, 52443, 50845, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 51612, 51918, 52242, 50905, 52170, 51798, 52443, 50795, 52895, 50795, 52792, 51048, 50461, 52830, 52097, 50799, 52443, 50845, 51088, 51134, 51165, 51134, 51266, 51134, 51182, 51134, 51612, 52115, 52242, 50905, 52170, 51631, 52443, 50795, 52416, 50795, 53755, 50807, 50437, 52481, 52097, 50438, 52443, 50845, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 52290, 52045, 50450, 52443, 50795, 52895, 69189, 52371, 52097, 63441, 51134, 51165, 51134, 51107, 51134, 51182, 72038, 52443, 50795, 79331, 77176, 50865, 52355, 51021, 51900, 50865, 50437, 52481, 52097, 50438, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 77176, 50918, 52278, 51527, 52173, 56811, 52443, 50795, 52895, 69189, 52830, 52097, 63441, 51134, 51165, 51134, 51266, 51134, 51182, 72038, 52443, 50795, 52416, 50795, 62292, 50865, 52278, 51021, 52285, 50865, 50437, 52481, 52097, 50438, 51088, 51134, 51165, 51134, 51395, 51134, 51182, 51134, 77176, 50918, 52278, 51527, 52173, 56811, 52443, 50795, 52895, 50795, 50799, 51975, 67583, 51573, 51093, 51134, 51395, 51134, 51182, 51134, 52143, 54270, 51299, 52570, 50420, 52205, 51631, 72766, 51784, 51736, 52205, 50795, 51900, 51646, 72766, 51375, 51573, 51093, 51134, 51395, 51134, 51629, 51134, 52173, 51918, 54073, 50795, 51802, 51798, 72766, 51900, 51923, 54073, 50795, 52173, 50795, 50799, 51975, 61503, 51573, 51093, 51134, 51395, 51134, 51284, 73967, 52662, 51631, 72766, 51784, 51736, 52662, 50795, 51900, 51646, 72766, 51375, 51573, 51093, 51134, 51395, 51134, 51629, 51134, 52173, 51918, 54073, 50795, 51900, 51798, 72766, 51784, 51923, 54073, 50795, 52926, 50795, 50799, 51975, 67583, 51573, 51093, 51134, 51395, 51134, 51182, 51134, 51784, 53561, 52205, 51631, 72766, 52278, 53182, 52205, 51646, 72766, 51375, 51573, 51093, 51134, 51395, 51134, 51629, 51134, 52714, 53218, 54073, 51798, 72766, 52278, 51923, 54073, 50795, 52926, 50795, 50799, 51975, 61503, 51573, 51093, 51134, 51395, 51134, 51284, 51134, 52278, 56100, 52662, 51631, 51975, 51736, 52662, 51646, 72766, 51375, 51573, 51093, 51134, 51395, 51134, 51629, 73779, 54073, 51798, 51975, 51923, 54073, 50795, 50799, 52342, 50795, 51299, 51134, 51154, 51134, 51375, 51134, 51093, 51134 ]

[ 0, 713, 8787, 5175, 15229, 6, 30291, 19, 4785, 9, 3495, 6, 16, 10, 13363, 28191, 11739, 9, 33301, 8, 1007, 4, 11281, 33938, 8, 81, 9756, 29589, 185, 5, 483, 6, 2800, 30, 5, 4066, 32343, 9, 38668, 22052, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 381, 538, 8, 6780, 10, 20902, 12447, 1001, 20889, 6, 24, 30853, 19, 10, 881, 21263, 9, 5, 33215, 13931, 163, 6, 163, 406, 6, 163, 6, 274, 10431, 119, 6, 8, 3676, 406, 6, 1271, 7, 63, 6878, 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 ]

[ 54458, 50796, 50796, 53028, 50884, 51544, 50837, 51570, 50863, 50799, 54924, 52122, 56140, 52122, 56271, 52122, 51404, 51110, 51019, 50975, 53583, 62249, 58842, 51075, 50950, 51404, 51110, 50417, 51219, 54430, 51471, 51039, 68269, 52928, 51499, 51060, 51205, 50975, 53583, 56344, 51499, 51060, 51532, 50834, 51361, 64775, 52600, 51404, 51194, 51019, 51066, 53583, 55698, 51404, 51194, 50441, 51471, 51180, 70130, 53068, 51499, 50866, 51205, 50993, 53583, 56688, 51499, 50977, 51647, 52579, 51404, 55309, 57895, 51404, 50854, 51621, 50841, 50799, 51404, 51162, 51019, 50993, 53583, 56075, 51404, 51162, 51402, 60740, 68269, 52928, 51499, 50873, 51205, 50975, 53583, 56344, 51499, 50873, 51532, 50834, 51361, 64775, 52600, 51404, 50995, 51019, 50993, 53583, 55698, 51404, 74244, 51471, 51180, 70130, 53068, 51499, 50974, 51205, 52466, 51392, 56688, 51499, 50905, 51647, 52579, 51188, 50879, 50927, 53025, 57895, 69786, 51621, 50841, 50799, 51404, 51124, 51019, 50993, 53583, 56075, 51404, 51116, 51402, 60740, 68269, 52928, 51499, 50974, 51205, 50975, 53583, 56344, 51499, 50974, 51532, 50834, 51361, 64775, 52600, 51404, 50981, 51019, 50993, 53583, 55698, 51404, 77052, 51471, 51180, 70130, 53068, 51499, 50978, 51205, 50976, 53583, 56688, 51499, 50978, 51647, 52579, 51404, 50822, 51019, 54972, 57895, 51404, 50822, 51621, 58660, 54638, 52122, 50799, 51404, 51253, 51019, 50975, 53583, 56075, 51404, 51312, 51402, 60740, 68269, 52928, 51499, 51337, 51205, 50975, 53583, 56344, 51499, 51337, 51532, 50834, 51361, 64775, 52600, 51404, 51312, 51019, 50993, 53583, 55698, 51404, 51312, 50441, 51471, 51180, 70130, 53068, 51499, 50974, 51205, 50976, 53583, 56688, 51499, 50905, 51647, 52579, 58727, 50927, 53025, 57895, 58727, 51621, 50841, 50799, 51404, 51112, 51019, 50975, 53583, 56075, 51404, 51112, 51402, 60740, 68269, 58405, 51854, 53174, 50426, 51499, 50812, 51205, 50975, 53583, 56344, 61847, 51532, 50834, 51361, 64775, 52600, 51404, 51203, 51019, 50975, 53583, 55698, 51404, 51203, 50441, 51471, 51180, 70130, 53068, 51499, 50933, 51205, 51599, 51392, 56688, 51499, 51008, 51647, 52579, 51404, 50857, 51019, 52001, 57895, 51404, 50857, 51621, 50841, 50799, 52375, 50830, 51404, 51312, 51019, 50975, 53583, 56075, 51404, 51312, 50417, 51854, 53241, 51471, 51039, 68269, 52928, 51499, 51212, 51205, 50976, 53583, 56344, 51499, 51101, 51532, 50834, 51361, 64775, 52600, 51404, 51391, 51019, 50993, 53583, 55698, 51404, 51391, 50441, 51471, 51180, 70130, 53068, 51499, 50845, 51205, 51520, 51392, 56688, 51499, 50845, 51647, 52579, 58727, 50927, 53025, 57895, 58727, 50458, 51288, 50810, 51621, 60880, 51211, 59700, 51219, 50943, 50799, 54924, 52122, 56271, 52122, 56140, 52122, 51404, 51003, 51019, 50975, 53583, 56075, 51404, 51003, 51402, 60740, 68269, 52928, 51075, 51090, 51499, 50977, 51205, 50976, 53583, 56344, 51499, 50937, 51532, 50834, 51361, 64775, 52600, 51046, 51345, 51404, 51134, 51019, 50975, 53583, 55698, 51404, 51134, 50441, 51471, 51180, 53851, 78981, 53068, 51278, 51227, 51499, 50901, 51205, 51599, 51392, 56688, 51499, 50901, 51647, 52579, 51019, 54328, 65447, 50841, 68923, 51158, 51404, 51253, 51019, 50975, 53583, 56075, 51404, 51312, 51402, 53203, 51219, 51594, 68269, 52928, 51219, 50890, 51499, 50892, 51205, 50976, 53583, 56344, 51499, 64318, 51075, 51582, 53063, 51329, 62003, 64775, 52600, 51404, 50981, 66862, 53583, 55698, 51075, 50809, 51404, 77052, 51471, 50442, 51219, 51538, 51180, 70130, 53068, 51499, 50937, 51205, 50976, 53583, 56688, 52376, 50921, 51499, 50917, 51647, 52579, 52376, 50880, 77586, 50927, 53025, 57895, 57300, 51621, 60880, 51652, 51055, 50799, 60383, 52122, 54924, 50854, 55321, 52122, 66862, 53583, 66729, 60740, 57369, 52376, 50936, 51510, 52928, 51205, 50976, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 50975, 53583, 54704, 61974, 52457, 51508, 70130, 53068, 51652, 50921, 51205, 51599, 51392, 50841, 51647, 52579, 51652, 50821, 51019, 52001, 65447, 60880, 52376, 51167, 53400, 50993, 53583, 66729, 60740, 60879, 52376, 50936, 51510, 52928, 51205, 50976, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 51072, 53583, 54704, 61974, 52376, 51508, 70130, 53068, 52376, 50921, 51205, 52466, 51392, 50841, 51647, 52579, 52376, 50880, 50927, 53025, 53736, 51652, 51160, 52261, 53400, 50975, 53583, 66729, 53203, 52376, 54196, 68269, 52928, 51205, 50975, 53583, 50839, 51532, 50834, 51361, 58167, 52376, 70930, 52600, 66862, 53583, 54704, 61974, 52376, 51864, 70130, 53068, 51667, 50936, 51205, 53236, 51392, 50841, 51647, 52579, 51652, 50880, 51019, 52001, 53736, 52376, 51226, 52261, 53400, 50975, 53583, 66729, 60740, 68269, 52928, 51205, 50975, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 51066, 53583, 54704, 61974, 52457, 51864, 70130, 53068, 52376, 50821, 51205, 52466, 51392, 50841, 51647, 57208, 52457, 54663, 52376, 50883, 50927, 63304, 53736, 51652, 50980, 52261, 50799, 60383, 52122, 55321, 51692, 54924, 52122, 51019, 50975, 53583, 66729, 60740, 60879, 52376, 50921, 51510, 52928, 51205, 50976, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 50975, 53583, 54704, 52457, 50880, 61974, 52376, 51508, 70130, 58560, 53818, 53651, 50450, 51652, 50821, 51205, 51599, 51392, 50841, 51647, 52579, 51652, 50821, 51019, 52001, 53736, 52376, 51226, 52261, 53400, 50976, 53583, 66729, 60740, 68269, 52928, 51205, 50976, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 51066, 53583, 54704, 61974, 52457, 51864, 70130, 53068, 52376, 50880, 51205, 52466, 51392, 50841, 51647, 52579, 52376, 50821, 50927, 53025, 53736, 51652, 51160, 52261, 50799, 55321, 51353, 51019, 50975, 53583, 66729, 53203, 52376, 51508, 68269, 52928, 51205, 50975, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 50975, 53583, 54704, 61974, 52376, 51864, 70130, 53068, 51667, 50936, 51205, 51599, 51392, 50841, 51647, 52579, 51652, 50821, 51019, 52001, 53736, 52376, 51226, 52261, 50461, 54511, 52069, 56490, 51353, 53400, 50975, 53583, 66729, 60740, 68269, 52928, 51205, 50976, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 51019, 50975, 53583, 54704, 61974, 51652, 58568, 70130, 53068, 51205, 52466, 51392, 50841, 51647, 52579, 51652, 50821, 51019, 53025, 65447, 50841, 50799, 54924, 52122, 53370, 52122, 59113, 52122, 51011, 50975, 53583, 56075, 51667, 51192, 51402, 53203, 51046, 51594, 57369, 51143, 75177, 51667, 50921, 60454, 51548, 50844, 51019, 50975, 53583, 54929, 51288, 51159, 51931, 51361, 64775, 56305, 51211, 51419, 55208, 50975, 53583, 54704, 61974, 51652, 54444, 70130, 53068, 51667, 50921, 51019, 50975, 53583, 50841, 51647, 52579, 51667, 55307, 65447, 60880, 52376, 50806, 53534, 50993, 53583, 66729, 60740, 68269, 52928, 51019, 50975, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 50953, 50975, 53583, 54704, 61974, 51652, 51508, 70130, 53068, 51667, 50936, 51019, 50993, 53583, 50841, 51647, 52579, 51652, 55557, 53736, 51667, 51167, 52261, 53534, 50993, 53583, 66729, 53203, 51667, 54444, 68269, 52928, 51019, 50975, 53583, 50839, 51532, 50834, 51361, 64775, 52600, 79288, 53583, 54704, 61974, 51652, 51575, 70130, 53068, 51667, 50936, 51019, 50993, 53583, 50841, 51647, 52579, 51652, 55557, 53736, 52376, 51160, 52261, 53534, 50993, 53583, 66729, 60740 ]

[ 0, 250, 2635, 8, 19448, 3495, 2214, 11, 272, 538, 6, 42, 765, 15229, 7630, 6568, 10, 1472, 9, 11926, 8, 657, 6, 442, 24, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 16739, 9, 272, 6, 230, 6, 211, 6, 272, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57528, 50796, 50796, 53997, 50932, 55902, 55512, 58903, 52688, 50861, 55512, 58903, 53052, 80235, 50876, 51283, 50968, 51283, 54734, 50932, 55961, 56943, 55512, 52688, 50871, 56943, 55512, 53052, 50871, 51283, 50877, 51283, 50876, 51283, 54795, 50932, 55902, 61418, 57777, 52688, 50861, 61418, 57777, 53052, 50861, 70713, 60473, 54498, 51214, 56350, 50861, 61418, 57777, 52985, 50861, 61418, 57777, 53581, 50861, 61418, 57777, 50838, 53997, 50932, 55902, 55512, 58903, 52688, 50861, 55512, 58903, 53052, 50861, 51680, 50876, 51680, 50968, 51680, 53997, 50932, 55902, 55512, 58903, 52688, 50861, 55512, 58903, 53052, 80235, 50876, 51283, 50968, 51283, 54734, 50932, 55961, 56943, 55512, 52688, 50871, 56943, 55512, 53052, 50871, 51283, 50877, 51283, 50876, 51283, 54795, 50932, 55902, 61418, 57777, 52688, 50861, 61418, 57777, 53052, 50861, 70713, 60473, 54498, 51214, 56350, 50861, 61418, 57777, 52985, 50861, 61418, 57777, 53581, 50861, 61418, 57777, 50838, 53997, 50932, 55902, 55512, 58903, 52688, 50861, 55512, 58903, 53052, 50861, 51680, 50876, 51680, 50968, 51680, 53997, 51243, 56440, 50827, 50861, 53591, 58219, 50876, 52580, 58219, 50876, 54889, 57947, 50968, 52739, 57947, 50968, 53720, 57910, 50951, 52788, 50968, 65300, 50932, 54734, 51243, 53502, 57712, 56943, 52688, 50900, 57712, 56943, 53052, 50900, 51283, 50871, 51283, 50877, 51283, 54795, 51243, 51026, 51243, 53997, 51243, 80141, 54734, 77132, 68026, 75656, 60934, 51247, 77132, 68026, 75656, 51080, 58106, 51085, 51801, 50900, 51801, 50916, 51801, 50861, 51801, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15352, 30054, 3495, 2214, 4246, 10, 13305, 8, 6755, 12547, 6, 278, 11, 5, 762, 9, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 7630, 14805, 10, 19448, 8, 3722, 5466, 20455, 9, 10, 822, 19834, 6, 19, 17878, 9, 657, 11, 63, 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 ]

[ 58375, 50428, 50999, 51108, 50440, 51147, 51337, 50447, 50999, 51212, 50453, 51147, 51100, 50459, 50999, 51194, 52478, 50968, 51255, 50425, 50951, 51534, 50433, 50931, 51097, 50442, 55430, 51445, 53389, 51243, 73789, 51743, 51353, 50443, 51120, 52783, 50444, 50902, 51330, 50455, 51027, 51961, 51601, 50899, 52063, 63714, 51534, 50428, 50877, 67632, 50902, 51337, 50440, 51279, 52034, 50441, 50968, 51535, 51615, 52151, 52033, 52222, 59439, 52335, 56617, 52222, 50448, 51027, 50984, 50455, 63489, 50460, 50877, 51534, 52478, 51028, 51242, 50424, 50968, 51194, 50430, 51120, 53486, 50431, 50931, 51627, 50432, 51743, 51313, 55430, 51671, 53389, 51922, 51881, 52335, 50439, 51027, 52441, 50445, 50899, 52048, 50453, 57810, 50457, 51656, 58643, 50461, 50999, 51753, 53069, 51147, 73911, 50999, 70402, 51147, 51423, 50438, 50999, 51534, 79472, 51645, 50454, 50951, 51576, 51601, 50931, 52460, 50423, 51120, 52519, 50902, 52460, 55430, 52431, 51743, 52335, 53389, 54171, 50431, 51027, 52378, 55898, 51174, 57428, 51411, 60027, 54771, 80039, 55547, 71509, 51310, 51615, 52062, 59439, 53588, 52033, 52222, 56617, 52335, 50421, 51027, 51022, 50427, 51040, 51008, 50433, 50877, 51775, 50440, 50931, 51884, 50446, 72543, 50453, 51743, 51671, 53389, 52503, 50454, 51120, 51703, 50902, 51961, 51881, 51922, 55430, 51922, 56310, 52136, 50424, 50899, 53892, 50437, 50968, 52378, 50447, 50931, 51884, 50453, 50951, 51642, 50460, 51656, 51680, 52133, 52168, 54720, 52980, 51711, 51742, 50461, 50999, 51637, 51050, 52263, 52591, 50900, 51806, 53645, 51006, 50431, 77549, 50437, 51081, 51101, 50442, 50999, 51177, 50447, 51615, 51742, 51863, 51742, 55793, 51314, 50448, 51085, 51642, 53817, 52783, 50449, 50951, 51241, 50454, 62972, 50460, 65200, 52177, 50906, 51043, 50422, 50999, 51111, 50427, 50951, 51111, 50433, 50931, 51204, 51120, 51310, 51743, 52015, 51656, 52015, 55430, 51447, 53389, 51447, 50439, 51027, 51233, 50445, 50899, 55125, 50877, 51194, 50457, 50951, 51110, 56229, 73963, 51279, 51162, 50968, 50980, 50431, 51027, 66425, 50877, 51820, 50877, 58038, 50999, 57939, 50877, 50840, 51601, 50999, 73888, 50999, 51124, 50430, 51814, 65866, 51147, 51576, 50456, 50999, 51172, 51809, 51147, 51172, 50424, 50999, 51884, 50430, 51147, 51642, 50437, 50999, 51074, 50443, 51147, 51642, 50450, 50999, 51481, 50457, 51147, 51309, 51809, 50999, 51576, 50425, 50968, 51806, 50435, 50951, 54344, 50445, 50931, 51961, 50456, 55430, 51671, 51743, 51671, 51656, 51748, 50457, 51120, 51703, 53389, 53201, 50458, 50902, 52441, 55753, 51027, 52011, 50428, 50899, 51074, 50434, 50871, 51480, 50441, 79378, 50447, 50902, 51212, 50453, 59439, 52431, 51615, 51662, 52033, 52222, 50454, 51279, 72713, 51310, 50460, 51027, 51210, 52478, 51040, 50959, 50424, 50877, 51534, 50430, 51028, 51328, 50436, 50968, 51309, 50442, 51743, 52140, 55430, 58643, 51881, 52528, 50443, 51120, 52916, 50931, 51314, 50452, 51027, 52407, 50459, 50899, 52441, 52591, 70741, 50430, 50999, 51797, 50437, 51147, 72379, 50999, 78271, 51147, 70854, 50999, 51534, 51809, 50968, 51576, 50426, 50951, 51738, 50435, 50931, 51330, 50445, 51838, 52062, 51743, 52140, 50446, 51120, 53486, 50902, 52056, 50458, 51027, 54836, 52177, 50899, 74525, 50871, 51412, 50430, 79378, 50436, 50902, 51412, 50443, 51279, 53957, 50444, 50968, 51939, 50445, 59439, 53201, 52414, 52204, 51615, 58643, 50452, 51027, 52063, 51601, 51040, 51210, 72513, 51878, 50445, 50931, 51447, 52478, 50968, 51709, 72785, 52980, 51120, 54829, 50449, 55430, 54270, 51838, 52720, 63932, 51449, 51743, 52720, 51601, 51027, 52441, 53337, 53957, 50434, 50871, 55174, 50445, 50877, 65527, 50458, 50902, 51922, 69341, 51146, 52431, 50428, 51339, 51592, 50432, 52912, 51452, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8, 19448, 5175, 1619, 2214, 4246, 10, 13305, 6, 6755, 12547, 6, 38668, 2236, 6, 31391, 1672, 9590, 6, 8, 21979, 8669, 4, 20, 2125, 16, 11, 272, 538, 19, 10, 7212, 20889, 9, 8403, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 16, 272, 6, 1918, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 53028, 71523, 50817, 51570, 50817, 52320, 50817, 54309, 51184, 51725, 51795, 50856, 52302, 51207, 61874, 50986, 62152, 52265, 50929, 53663, 50986, 62001, 50960, 58317, 50998, 54972, 52193, 51444, 51300, 50970, 65900, 50817, 61080, 51352, 50856, 52302, 73260, 51032, 52442, 55057, 52265, 51504, 50993, 50970, 76190, 51207, 52313, 50929, 51352, 50450, 51207, 54972, 52193, 54311, 50802, 50986, 51066, 66123, 54309, 52737, 51725, 51795, 51615, 51732, 50856, 52302, 50998, 62819, 50986, 51009, 50843, 52265, 50960, 75421, 50998, 62186, 51032, 70851, 50929, 51029, 50843, 52193, 50986, 64363, 53736, 50856, 50817, 60533, 51009, 50970, 54158, 52302, 50986, 59216, 51438, 50976, 51563, 52702, 52265, 51292, 61147, 51032, 52313, 51137, 51029, 51207, 51029, 50970, 54554, 68356, 51032, 51352, 50843, 52193, 61286, 54309, 51184, 54890, 51029, 50986, 51072, 50960, 64363, 52302, 50998, 58595, 50986, 53025, 52265, 54890, 50802, 50929, 76190, 54182, 50802, 50986, 52313, 53032, 50976, 51032, 51300, 50450, 50986, 62152, 52193, 52758, 51009, 51444, 51009, 50970, 51300, 53447, 51009, 50986, 62420, 51032, 52442, 50426, 50986, 63304, 52265, 54182, 50976, 51504, 51029, 50929, 51029, 57097, 51029, 53032, 51059, 50986, 62186, 50970, 52175, 50986, 52001, 52193, 69653, 53032, 50802, 50986, 51059, 50929, 51029, 54309, 52737, 54182, 51059, 50960, 52410, 50998, 58595, 54890, 51795, 50986, 62152, 52265, 50929, 61546, 50986, 55380, 52257, 50803, 56523, 50803, 51032, 51352, 50450, 50986, 54972, 52193, 52043, 50811, 53876, 50811, 50929, 51407, 61080, 63853, 51607, 50811, 52257, 50811, 51207, 51407, 55057, 52265, 51434, 50803, 52043, 50811, 50986, 61546, 50960, 53609, 50998, 52284, 50929, 51407, 50450, 69653, 50960, 51300, 50843, 52193, 51684, 50976, 50986, 50976, 54920, 51795, 54890, 51059, 51207, 51795, 60434, 54107, 50960, 54972, 52265, 54890, 50802, 50998, 52125, 54182, 50976, 50929, 52313, 53032, 50976, 50986, 63399, 50929, 63304, 52193, 51181, 51009, 52758, 51300, 51131, 51029, 50970, 51029, 61080, 63853, 51032, 51300, 50426, 50986, 54972, 52265, 51132, 51009, 54182, 50976, 51504, 51009, 50929, 53663, 53032, 51059, 50986, 53681, 50970, 63758, 51032, 54217, 50843, 52193, 69653, 53032, 50976, 50986, 51059, 50929, 51009, 54309, 52442, 54182, 50824, 50960, 52410, 50998, 54107, 54890, 51795, 50843, 52265, 50986, 53663, 51207, 52442, 50444, 50929, 51352, 50447, 51434, 51184, 50450, 51669, 51184, 50843, 54085, 52257, 51795, 50456, 52043, 51795, 50960, 51072, 61080, 52244, 50998, 59101, 50986, 54972, 52265, 74904, 50960, 52125, 51137, 51066, 53195, 50824, 50998, 50803, 51032, 50823, 52689, 50993, 53873, 57310, 50970, 50803, 51067, 52116, 51137, 50824, 53141, 51059, 50970, 50803, 69051, 52888, 55940, 52193, 50929, 50823, 51292, 50823, 54920, 51352, 51774, 51184, 51614, 51184, 51434, 51184, 52969, 51009, 73829, 50929, 51059, 51292, 51059, 53274, 51300, 57026, 71824, 52630, 50843, 52265, 50986, 50823, 50998, 52125, 53195, 50824, 52689, 50975, 53873, 57699, 50986, 62001, 50998, 52768, 74904, 52969, 50824, 71706, 51292, 50803, 53274, 50824, 57026, 55940, 52193, 70193, 50947, 50823, 51438, 50823, 54281, 51795, 51774, 51795, 51614, 51184, 51434, 51184, 51607, 51732, 54799, 51059, 50986, 50817, 73560, 51292, 50824, 53873, 51029, 61656, 51059, 60434, 50975, 55057, 52265, 54799, 50860, 50986, 51029, 53873, 50860, 61656, 53925, 51808, 51300, 54799, 50802, 50998, 51066, 51032, 50993, 53873, 51029, 61656, 52313, 56647, 51066, 59634, 51072, 57702, 52193, 51374, 50860, 56647, 50823, 50960, 50803, 65561, 53873, 50823, 59634, 50823, 52894, 52737, 51774, 54217, 51515, 52442, 51434, 50824, 56647, 50824, 51504, 51184, 50960, 50976, 51076, 50976, 53873, 50824, 59634, 66489, 51440, 51795, 53429, 51352, 50986, 50993, 50970, 51059, 50947, 51059, 53686, 51795, 57026, 51795, 50843, 52267, 50986, 63399, 50970, 51059, 50843, 52193, 51032, 50824, 61080, 51300, 64308, 51029, 50929, 58595, 51434, 50811, 51440, 50824, 51607, 50824, 53032, 50824, 50970, 51059, 51032, 51072, 52945, 51066, 53686, 55940, 50817, 51272, 50301, 50802, 51434, 50824, 51808, 50824, 55493, 50824, 79097, 50960, 50993, 51076, 50975, 53132, 50993, 53274, 53681, 52993, 54554, 51416, 50802, 51515, 51066, 51440, 50824, 54182, 50824, 51504, 50824, 50986, 50975, 50947, 51072, 53985, 51066, 52888, 55940, 52193, 51132, 50976, 53053, 51352, 51660, 51795, 51434, 51184, 54890, 51352, 51207, 51352, 50929, 50975, 55283, 51407, 52689, 51352, 60434, 54675, 50929, 53025, 52265, 51292, 55276, 50929, 52313, 50986, 58348, 53195, 50824, 50929, 51009, 52689, 51066, 53873, 55940, 52193, 69653, 51207, 51184, 67398, 51352, 53141, 51066, 50960, 50993, 52689, 51066, 54992, 68107, 51311, 63398, 53141, 50824, 62875, 52689, 50993, 54992, 62152, 52265, 52769, 51407, 51067, 64631, 51434, 51300, 51669, 51009, 52257, 51300, 53195, 51029, 50929, 51059, 53565, 51029, 53873, 62001, 51311, 52116, 50970, 53025, 52193, 54311, 50802, 52758, 50976, 51311, 50823, 52945, 50823, 53686, 50802, 54309, 50824, 51774, 51795, 51434, 51184, 52043, 51795, 53032, 51184, 50986, 51795, 53132, 51184, 53274, 51184, 57761, 58595, 50998, 54328, 52265, 51338, 51300, 50929, 60363, 51032, 60815, 50960, 54145, 50929, 53025, 52193, 74904, 51032, 50860, 53053, 51795, 51207, 51795, 51076, 54024, 51032, 52244, 50947, 60134, 51076, 53537, 51774, 50824, 51515, 50976, 51440, 50993, 50929, 52001, 54396, 50947, 54684, 52769, 51066, 50970, 52674, 50929, 52952, 52745, 51066, 51434, 51072, 50998, 61411, 54129, 50970, 52284, 52769, 50975, 50960, 52911, 50998, 76874, 52568, 51614, 51066, 51515, 51072, 51434, 51066, 50986, 61492, 51695, 52193, 54311, 50802, 52769, 50860, 51311, 50976, 51289, 50817, 54309, 50824, 51774, 51795, 51614, 50803, 51434, 51407, 52278, 51059, 50986, 52737, 51615, 51184, 51479, 54533, 50417, 51660, 51009, 51039, 50817, 51768, 55232, 51338, 50860, 52278, 50802, 59194, 54683, 50824, 52355, 50802, 51479, 52267, 51614, 51072, 51434, 50824, 51808, 51066, 51784, 55188, 50817, 51955, 55843, 51338, 50976, 51774, 51009, 51515, 51300, 51440, 51009, 51900, 57838, 50817, 53447, 51059, 51711, 51184, 51479, 57474, 50817, 51768, 55232, 51132, 51009, 53369, 51009, 51774, 51009, 51515, 51407, 51434, 51732, 51607, 51732, 52355, 50976, 51479, 52676, 51784, 51059, 59194, 51180, 50817, 51955, 55843, 51137, 50976, 51784, 52319, 50817, 54309, 50824, 51774, 51732, 51614, 50811, 51660, 51795, 52278, 50811, 52355, 51072, 51838, 50824, 51479, 57474, 52630, 52278, 52442, 52225, 54217, 50903, 55232, 51338, 51300, 61286, 51479, 52676, 51292, 50860, 51479, 52267, 51438, 51331, 52568, 51292, 60894, 55843, 51137, 50976, 51438, 55115, 50817, 54309, 50824, 51479, 57474, 52630, 51137, 50803, 51067, 55964, 61580, 51349, 52119, 51338, 51029, 51434, 50993, 51032, 51029, 51479, 52676, 51669, 50803, 52257, 52442, 51479, 54129, 52043, 51352, 50444, 51434, 58834, 52568, 54311, 50802, 50929, 52442, 50903, 55843, 51844, 50976, 51434, 61812, 55498, 54309, 50824, 51774, 51795, 52278, 51059, 51615, 51795, 51479, 52302, 51434, 65765, 50817, 51768, 55232, 51338, 51029, 52043, 51300, 52278, 50860, 51479, 52676, 52355, 50976, 51479, 52267, 51434, 51066, 51784, 51331, 52568, 51137, 55964, 55843, 51181, 51029, 51607, 51300, 51900, 51300 ]

[ 0, 250, 33558, 3495, 2214, 19, 10, 2365, 619, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 8, 18558, 4, 20, 1769, 12, 20764, 8859, 11, 83, 538, 7630, 6568, 10, 1472, 9, 11098, 8, 7125, 6, 442, 24, 10686, 13, 5, 1619, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52894, 50980, 51113, 52149, 51154, 52121, 53358, 62249, 50834, 58997, 54666, 56471, 61074, 58243, 50836, 51402, 50837, 52906, 50863, 64258, 62377, 50806, 51223, 50910, 51262, 50897, 51355, 50897, 50850, 55664, 57954, 50938, 51510, 52670, 51132, 51235, 79782, 53683, 72322, 66076, 68502, 62773, 51058, 61232, 59027, 51532, 50837, 51355, 50897, 51262, 50897, 74600, 51361, 50825, 78632, 51588, 50328, 50936, 51223, 62237, 50959, 57896, 61377, 51556, 53018, 51132, 51227, 52453, 50835, 64495, 51116, 50951, 51460, 51223, 62061, 61074, 56754, 50808, 51572, 53325, 50852, 63607, 56204, 58310, 50866, 51618, 64958, 50828, 51262, 50828, 51355, 53035, 51132, 51345, 79782, 54473, 51135, 50829, 64495, 75210, 51021, 65998, 66033, 59027, 51647, 50837, 68326, 64258, 50910, 50931, 51033, 51355, 50828, 51262, 50846, 51223, 60782, 55029, 50836, 61377, 73788, 52894, 51215, 53358, 50825, 58997, 65090, 51030, 50885, 64443, 60957, 50840, 51402, 50870, 52906, 50863, 64258, 71998, 51021, 51223, 50925, 51262, 50910, 51355, 50910, 50850, 58541, 54180, 50938, 51510, 52670, 51132, 71599, 54094, 53683, 51041, 50825, 66076, 66083, 66594, 50978, 62039, 59027, 51532, 50863, 51355, 50897, 51262, 50830, 64417, 51361, 50825, 78632, 52098, 50328, 50936, 51223, 60782, 50878, 57896, 57212, 51556, 52896, 51132, 51345, 52453, 50825, 64495, 51124, 50951, 51460, 51223, 62061, 64443, 56754, 50812, 51572, 53594, 50852, 67804, 56204, 58310, 50977, 60309, 51916, 64958, 50828, 79533, 51355, 53083, 51132, 50980, 79782, 53683, 51044, 50829, 64495, 60693, 60185, 50866, 78115, 50866, 51647, 53555, 50816, 52771, 50837, 64258, 50830, 50931, 51045, 51355, 50828, 51262, 50846, 51223, 50846, 59416, 50872, 62210, 50833, 76269, 53447, 51167, 51154, 52096, 51113, 52250, 52453, 50825, 56318, 56036, 60164, 65451, 60957, 50840, 51402, 50863, 52906, 50863, 59584, 58050, 64446, 50925, 51195, 50925, 51262, 50910, 50850, 55664, 57172, 50865, 51510, 52670, 51181, 51160, 50801, 54094, 54473, 51135, 50835, 64258, 62377, 62009, 50978, 62038, 59027, 51532, 50837, 51262, 50925, 78372, 51265, 50809, 51361, 50825, 66076, 77322, 50936, 51265, 50828, 61466, 50872, 50812, 55688, 51556, 52896, 51181, 51235, 53358, 50835, 62527, 50991, 50968, 51653, 51265, 62830, 61074, 58243, 50833, 75363, 50852, 63607, 56204, 56659, 50866, 51618, 50837, 51265, 50828, 51195, 50828, 51262, 53083, 51181, 71599, 54094, 53683, 51135, 50835, 62527, 52014, 50320, 51021, 57140, 59458, 58752, 51647, 50837, 68326, 59584, 50897, 50902, 51014, 51262, 50828, 69747, 51265, 62237, 55029, 59495, 50854, 51621, 50863, 53447, 51192, 53358, 50829, 56318, 64514, 51021, 50848, 64443, 60957, 50836, 51402, 50837, 52906, 50863, 59584, 67922, 50936, 51265, 50910, 78372, 51262, 50925, 50850, 57045, 58057, 50917, 51510, 52917, 51181, 51175, 79782, 53412, 51135, 50835, 64258, 56645, 60164, 50978, 62038, 59027, 51532, 50863, 51262, 50897, 51195, 50910, 51265, 50809, 51361, 50837, 66076, 77322, 51030, 51265, 50828, 61466, 57896, 50848, 50810, 51556, 53018, 51181, 50948, 53358, 50835, 62527, 51116, 50968, 51460, 51265, 67633, 65451, 56754, 50812, 75363, 51181, 53072, 66580, 56204, 56611, 50937, 60309, 52465, 50863, 51265, 50841, 74900, 51262, 53533, 51374, 56702, 54094, 52538, 51179, 50835, 62527, 55648, 60164, 50937, 59458, 64803, 51647, 53007, 51132, 57321, 52348, 50837, 59584, 50830, 50902, 50823, 51262, 50846, 51195, 50841, 51265, 60782, 55029, 61575, 50810, 73788, 53053, 51192, 51251, 52121, 51165, 52024, 52453, 50825, 59584, 60446, 60164, 59778, 61303, 50840, 51402, 50863, 52906, 50870, 64495, 63191, 50911, 51195, 50925, 51250, 50910, 51543, 50897, 50939, 54703, 57172, 50938, 51510, 52670, 51137, 51235, 52404, 51152, 53412, 72322, 50661, 50338, 51514, 50326, 56747, 50987, 62486, 74798, 51532, 50863, 51543, 50897, 51250, 50897, 51195, 50809, 51361, 50825, 69575, 52098, 50330, 50948, 51195, 66328, 50955, 50847, 50812, 55688, 51556, 52896, 51137, 51345, 53358, 50825, 66076, 50991, 50999, 51653, 51195, 62830, 58367, 50840, 62199, 51572, 53594, 64642, 50939, 54703, 58580, 50977, 60309, 51750, 50837, 51195, 50841, 73376, 51543, 53035, 51137, 51227, 52404, 51152, 53683, 51135, 50835, 66076, 51828, 50325, 51030, 57140, 58966, 74798, 51647, 50863, 68326, 64495, 50910, 50951, 50921, 51543, 50841, 62594, 51195, 66328, 55305, 61631, 50854, 76269, 53053, 51215, 53358, 50825, 59584, 67922, 51021, 50848, 58367, 63915, 50836, 51402, 50863, 52906, 50837, 64495, 70155, 51021, 51195, 50925, 51250, 50925, 51543, 50897, 50939, 54703, 58057, 50917, 51510, 52917, 51137, 51167, 79782, 54473, 51041, 50825, 50661, 50338, 63627, 60164, 50987, 64829, 69081, 51532, 50863, 51543, 50897, 51250, 50910, 51195, 50840, 51361, 50835, 69575, 51588, 50330, 51021, 51195, 67131, 50878, 50847, 59529, 50854, 51556, 52904, 51137, 51227, 53358, 50825, 66076, 51124, 50999, 51460, 51195, 62660, 59778, 65391, 50812, 51572, 53594, 50852, 50870, 50939, 54703, 56611, 50977, 60309, 52223, 50863, 51195, 50841, 68540, 51543, 53083, 51137, 51227, 79782, 52538, 72322, 66076, 67611, 60874, 50977, 60304, 63573, 51647, 53007, 50816, 51539, 50825, 64495, 50830, 50951, 51014, 68989, 73376, 51195, 67131, 55305, 59495, 50833, 73788, 54309, 51175, 51301, 52096, 51088, 52250, 53358, 50825, 55076, 55143, 61740, 58367, 61303, 50840, 51402, 50863, 52906, 50863, 58997, 56964, 50911, 51223, 50925, 51350, 50897, 51250, 50897, 50939, 57486, 57122, 50938, 51510, 52670, 51338, 69209, 54094, 54473, 51179, 50837, 62527, 65544, 58429, 50978, 64829, 74798, 51532, 73885, 74171, 50910, 51223, 50809, 51361, 50825, 64495, 76198, 50948, 51223, 67473, 50955, 56894, 56521, 51556, 50863, 54683, 51160, 53358, 50835, 59584, 50991, 50902, 51460, 51223, 64073, 58367, 65391, 50812, 75363, 64642, 50939, 54703, 55363, 50937, 60309, 51833, 64958, 50841, 51350, 50839, 51250, 53068, 51338, 51175, 52404, 51152, 53683, 72322, 59584, 73916, 51138, 64525, 60304, 74798, 51647, 50837, 74819, 58997, 50897, 50876, 51033, 62594, 51350, 50828, 51223, 67473, 59643, 50836, 58817, 51621, 50863, 54309, 51173, 52453, 50835, 55076, 68668, 51138, 50868, 59778, 63915, 50840, 51402, 50863, 52906, 50372, 52418, 50839, 58997, 65090, 51021, 51223, 50897, 51350, 50910, 51250, 50910, 50939, 50805, 53449, 65671, 51510, 52917, 51338, 51175, 79782, 63822, 69483, 50884, 62527, 65544, 61740, 50978, 64829, 69081, 51532, 50863, 51250, 50925, 51350, 50925, 51223, 53810, 51287, 51901, 50820, 64495, 70155, 50936, 51223, 67131, 50878, 56894, 58817, 51556, 50837, 54683, 51173, 51938, 52082, 72322, 59584, 51124, 50902, 51427, 51223, 64073, 58367, 50809, 62199, 51572, 53325, 50852, 50371, 52418, 65858, 54703, 55363, 50917, 51618, 64958, 50841, 51350, 50841, 51250, 53068, 51338, 56795, 54094, 53412, 51179, 69330, 50884, 59584, 58050, 58512, 50937, 58966, 63573, 51647, 53007, 51338, 67105, 51467, 50835, 58997, 50952, 50876, 51045, 62594, 51350, 50841, 51223, 66328, 59643, 60975, 50810, 51621, 50863, 52894, 51356, 51154, 51313, 51113, 51717, 52795, 51030, 53358, 61819, 62168, 64443, 60957, 50836, 51402, 53405, 52307, 52472, 52144, 50835, 51223, 50897, 51262, 50925, 51355, 50897, 50850, 58541, 58239, 50865, 51510, 52872, 79782, 54473, 72322, 62783, 62039, 57134, 50427, 52203, 50806 ]

[ 0, 250, 8787, 3152, 15229, 11, 272, 538, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 211, 6, 272, 6, 8, 230, 4, 11281, 25654, 29589, 6, 3152, 6757, 6, 3459, 9590, 6, 1481, 677, 2957, 16940, 6, 8, 21072, 283, 561, 7, 1045, 41, 9066, 8, 15352, 30054, 2369, 18795, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2125, 17384, 12049, 9, 657, 8, 15073, 150, 6780, 41, 20425, 223, 28311, 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 ]

[ 56103, 50796, 56103, 51960, 50415, 51271, 57085, 50812, 51288, 50874, 50418, 51271, 71769, 72294, 51288, 62658, 51133, 50813, 51143, 70288, 65553, 51133, 50844, 56161, 51211, 50822, 51544, 68713, 51415, 50854, 51329, 50812, 51529, 56739, 51011, 50874, 53443, 51219, 53193, 50953, 61516, 50812, 51569, 54378, 51213, 50844, 51063, 50854, 51075, 62551, 51222, 50812, 51143, 52691, 63635, 51983, 50440, 51019, 50874, 51278, 50812, 51329, 70627, 72307, 51155, 50812, 51046, 62077, 51228, 50844, 51885, 50812, 51511, 64827, 72541, 55542, 51063, 54004, 51983, 50452, 51205, 50844, 57687, 51473, 66968, 51096, 50833, 51611, 50812, 51222, 63105, 51069, 50959, 54737, 51278, 70568, 51854, 51679, 51622, 55086, 50461, 51443, 51359, 51942, 51264, 51155, 51293, 56103, 59676, 51211, 51183, 51854, 51127, 51983, 51570, 60145, 51211, 50845, 51634, 64860, 69714, 51634, 50845, 51211, 52919, 52534, 51359, 51960, 50415, 51386, 51307, 51143, 51655, 51634, 51359, 51544, 79932, 52846, 51960, 52354, 51127, 51983, 50415, 51344, 50917, 51143, 51157, 51222, 51448, 51634, 51627, 50421, 51344, 60086, 54893, 51344, 51100, 70199, 51143, 53442, 50964, 51127, 69709, 51143, 51159, 51386, 51103, 51960, 50443, 51344, 50892, 50449, 61973, 51219, 55082, 51960, 56142, 51359, 51211, 51662, 51942, 51518, 51063, 51518, 51075, 51151, 51960, 51544, 79932, 53594, 51155, 79860, 51278, 58175, 51063, 51056, 69714, 51942, 50873, 51155, 50873, 56142, 51359, 51942, 51353, 51155, 51359, 52375, 52149, 51482, 50810, 51368, 51373, 53738, 51482, 50822, 51368, 52921, 51211, 51127, 51854, 51103, 51075, 51422, 51482, 50874, 51368, 51589, 53575, 51482, 50886, 51368, 52691, 51482, 50867, 51368, 50864, 51960, 50444, 51482, 50867, 51368, 58914, 51211, 50873, 51634, 65223, 51482, 50857, 51368, 50874, 69714, 51634, 50873, 51211, 51121, 51368, 50827, 51482, 50886, 52534, 51359, 51368, 50827, 51915, 50857, 51960, 50415, 51386, 51264, 51143, 51655, 51211, 51359, 51634, 74258, 51915, 50844, 51368, 52921, 51915, 50810, 51368, 51373, 53575, 51368, 50866, 51915, 54930, 51915, 50886, 51368, 50971, 51960, 50444, 51368, 50874, 51915, 54004, 51915, 50917, 51368, 50937, 69714, 51915, 50844, 51368, 50874, 56103, 50945, 51127, 51425, 50827, 51915, 50857, 51983, 50415, 51143, 51073, 51344, 51048, 51634, 51535, 51222, 64739, 51915, 50844, 51425, 52921, 50629, 73968, 51344, 51060, 51915, 50810, 51425, 51373, 53575, 51143, 50884, 51425, 50866, 51915, 62803, 51143, 53442, 50964, 51127, 57726, 51143, 51048, 51386, 50918, 51915, 50886, 51368, 50971, 51960, 50443, 51344, 55945, 51368, 50874, 51915, 64913, 51143, 51013, 51219, 55082, 51915, 50917, 51368, 50937, 69714, 51915, 50844, 51368, 54447, 51258, 56142, 51307, 51063, 51591, 51211, 51677, 51075, 51353, 51942, 51307, 51063, 51353, 51075, 51445, 51368, 50827, 51482, 54546, 54119, 50368, 51865, 77298, 50801, 52432, 58824, 51368, 55182, 59566, 58362, 50801, 52437, 51482, 50854, 51368, 54312, 58810, 50368, 51865, 64044, 50801, 52667, 53923, 51368, 50937, 51482, 60873, 58168, 50982, 56321, 52600, 51278, 51060, 51482, 50857, 51368, 56850, 53846, 50368, 51865, 54189, 53613, 73443, 51482, 53825, 54847, 50801, 52802, 51348, 50940, 51482, 50924, 51368, 58822, 53846, 50368, 51367, 50982, 59986, 53922, 51046, 68714, 51553, 52738, 53613, 51482, 50865, 51368, 50917, 51553, 59552, 51224, 60880, 51224, 50835, 56103, 51443, 51191, 51155, 51141, 51063, 50983, 51942, 51307, 51155, 51307, 51482, 50854, 51368, 53095, 52586, 50367, 51367, 55454, 53420, 51482, 50822, 51368, 55475, 60526, 52976, 51211, 51127, 51854, 51077, 51075, 51692, 51482, 50822, 51368, 55182, 53708, 60526, 53575, 51443, 50810, 60235, 51063, 51013, 51482, 50867, 51368, 53877, 54726, 60526, 53115, 51443, 50943, 51482, 50867, 51368, 55642, 52586, 60526, 69417, 53858, 69958, 51063, 50901, 51482, 50867, 51368, 57516, 60526, 52846, 50927, 50866, 51211, 50873, 62981, 60235, 58885, 51482, 50813, 51368, 55591, 53708, 60526, 53553, 51443, 50987, 51211, 50873, 51634, 71697, 50874, 51482, 57516, 60526, 50891, 52534, 51191, 51063, 50983, 73372, 51386, 51264, 51143, 51655, 51211, 51359, 51634, 51359, 51368, 50874, 51915, 54355, 52586, 60526, 53738, 51915, 50844, 51368, 55475, 60526, 52966, 51915, 50810, 51368, 54384, 53708, 60290, 53196, 50964, 50810, 62460, 65136, 51368, 50977, 51915, 50924, 69444, 60526, 53115, 50964, 50943, 51915, 50867, 51368, 58059, 52586, 60526, 53384, 51063, 50977, 51143, 50977, 51368, 50874, 51915, 55475, 60290, 53003, 50953, 50866, 62460, 65136, 51915, 50938, 51368, 58473, 53708, 60290, 53553, 50964, 50987, 51915, 50810, 51368, 56558, 60526, 50891, 52354, 51189, 51143, 51073, 51344, 51073, 51143, 51364, 51344, 50983, 51634, 51448, 51222, 50918, 51425, 50874, 51915, 54355, 52586, 60526, 53738, 51915, 50844, 51425, 55475, 60526, 52872, 51143, 50948, 51344, 51158, 51915, 50810, 51425, 54384, 53708, 60290, 53575, 65588, 51143, 50895, 70097, 51344, 50873, 51425, 50977, 51915, 50924, 69444, 60526, 54950, 51143, 53442, 50964, 50943, 77220, 51143, 51073, 51063, 50983, 73372, 51386, 51336, 51915, 50867, 51368, 58059, 52586, 60290, 53594, 51344, 50873, 51368, 50874, 51915, 55475, 60526, 53003, 52936, 50866, 51143, 51013, 61831, 51915, 50938, 51368, 58473, 53708, 60290, 53553, 53344, 50987, 69782, 70097, 51915, 50810, 51368, 54436, 54563, 60290, 50870, 56142, 51189, 51075, 51003, 51211, 50995, 51155, 51218, 51063, 51141, 51063, 51591, 51942, 51307, 51368, 50874, 51482, 54355, 52586, 60526, 53420, 51482, 50810, 51368, 55475, 60526, 52872, 51075, 51692, 51211, 51518, 51854, 51538, 51482, 50854, 51368, 55742, 53708, 60526, 53575, 51443, 50810, 60235, 62460, 51368, 50937, 51482, 50948, 69444, 60526, 53115, 51443, 50943, 51482, 50813, 51368, 56081, 52586, 60526, 53384, 51211, 50833, 69958, 51063, 66117, 71697, 50874, 51482, 55475, 60526, 55721, 50801, 52743, 52936, 50866, 51348, 50830, 51155, 50807, 62460, 51843, 51103, 51482, 50937, 51368, 58473, 53708, 60526, 58207, 51046, 58774, 53344, 50987, 51063, 50901, 51482, 50937, 51368, 50987, 75290, 60290, 50870, 56142, 51191, 51155, 51141, 51063, 50983, 51942, 51307, 51155, 51307, 51482, 50854, 51368, 53095, 52586, 60290, 69417, 53420, 51482, 50822, 51368, 55475, 60526, 52976, 51211, 51127, 51854, 51077, 51075, 51692, 51482, 50822, 51368, 55182, 53708, 60526, 53575, 51443, 57085, 50925, 60235, 51063, 51013, 51482, 50867, 51368, 53877, 54726, 60526, 53115, 51443, 50943, 63639, 51482, 50867, 51368, 55642, 52586, 60526, 53594, 69958, 51063, 50901, 51344, 50901, 51482, 50867, 51368, 57516, 60526, 52846, 50945, 50845, 51211, 50873, 51211, 50873, 62981, 60235, 58885, 51482, 50813, 51368, 55591, 53708, 60526, 53553, 50953, 50987, 51211, 50873, 51634, 50849, 51843, 51189, 51368, 50874, 51482, 57516, 60526, 50891, 52534, 51191, 51063, 50983, 73372, 51386, 51264, 51143, 51655, 51211, 51359, 51634, 51359, 51368, 50874, 51915, 54355, 52586, 60526, 53738, 51915, 50844, 51368, 55475, 60526, 52966, 51211, 50901, 51915, 50810, 51368, 54384, 53708, 60290, 53196, 50964, 50810, 51622, 50901, 62460, 65136, 51368, 50977, 51915, 50924, 69444, 60526, 53115, 50964, 50943, 51843, 50914, 51915, 50867, 51368, 58059, 52586, 60526, 53384, 51063, 50977, 51143, 50977, 51368, 50874, 51915, 53877, 53270, 60290, 53003 ]

[ 0, 250, 19448, 25771, 14123, 3495, 2214, 14, 7630, 6568, 10, 1619, 16464, 6, 4246, 10, 13305, 816, 5, 483, 33301, 7513, 30, 41, 21979, 8669, 6, 9590, 6, 8, 21072, 4, 20, 2125, 16, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 2351, 10, 1372, 8, 5679, 26709, 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 ]

[ 57739, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 53202, 51145, 62493, 50907, 51190, 52054, 51022, 50871, 52204, 50877, 52204, 50876, 52204, 50931, 52204, 51131, 52056, 50970, 51333, 50415, 53171, 51072, 51768, 62445, 51131, 51000, 64207, 50427, 51476, 51300, 51825, 51072, 51556, 54584, 51150, 65345, 59280, 51131, 51330, 50970, 51330, 50439, 51981, 51072, 51955, 51373, 69114, 50904, 50970, 60142, 51476, 51072, 52287, 51072, 74263, 60200, 61774, 65642, 51131, 52056, 50970, 51709, 50415, 51651, 51184, 51672, 51184, 53171, 51072, 75508, 69114, 50851, 64207, 50427, 51476, 51009, 51825, 51072, 51556, 55707, 51150, 51749, 50801, 59280, 73645, 50970, 51254, 50439, 51818, 51072, 51955, 51373, 69114, 50874, 64207, 50451, 51476, 51072, 51457, 51072, 62190, 61349, 53202, 64270, 65642, 50871, 51449, 50877, 51449, 50876, 51449, 50931, 51449, 51131, 52996, 50970, 52011, 50415, 51303, 51009, 51414, 51184, 51327, 52737, 75508, 69114, 50886, 50970, 63024, 52690, 51009, 51556, 55707, 51150, 70353, 59280, 51131, 52011, 50970, 52011, 50439, 51410, 51072, 51955, 51373, 69114, 50886, 65317, 50451, 55383, 51072, 51303, 51072, 50459, 51140, 53340, 50907, 51057, 51140, 64286, 65642, 79173, 50877, 51314, 50876, 51314, 50931, 51314, 50415, 53248, 51009, 52303, 51009, 51465, 51009, 51249, 51009, 51768, 68594, 51131, 50984, 64207, 50430, 57411, 76969, 51140, 50841, 51556, 50907, 51057, 51461, 60981, 59280, 50916, 52056, 50861, 52056, 50906, 52056, 51028, 52056, 51246, 52996, 50998, 52011, 50415, 68262, 51009, 51818, 51072, 50416, 76101, 51414, 51009, 51457, 60625, 52157, 62693, 58963, 52059, 50861, 52059, 50906, 52059, 51028, 52059, 51207, 50984, 51317, 67322, 51825, 51072, 52594, 51022, 52066, 50871, 51449, 50877, 51449, 50876, 51449, 53202, 57604, 50370, 52054, 51022, 51131, 53010, 69162, 50415, 56698, 51184, 76101, 51249, 51300, 51327, 66489, 51793, 51108, 50903, 65239, 51131, 51210, 50970, 60950, 53248, 51072, 51327, 51072, 76744, 51150, 58799, 55484, 50822, 50970, 52731, 50439, 52326, 51072, 51303, 51009, 51249, 51009, 51327, 63758, 51216, 50915, 73727, 51131, 51008, 50970, 60142, 53248, 69317, 51825, 57239, 54547, 79173, 50877, 51314, 50876, 51314, 53202, 51312, 53636, 51131, 53010, 69162, 50415, 55390, 51072, 51303, 51009, 51327, 51009, 51818, 66489, 51098, 51097, 50903, 65239, 51131, 51210, 50970, 60950, 52326, 51072, 51825, 51072, 52594, 58688, 50822, 51086, 52168, 50871, 52168, 50965, 52168, 50902, 52168, 50438, 51522, 51484, 50804, 78928, 51504, 53010, 51311, 51079, 50439, 54872, 51009, 51303, 51009, 51672, 51009, 51818, 63758, 51522, 50915, 73727, 51504, 51210, 51311, 60142, 51825, 51072, 50459, 54547, 53458, 51194, 54547, 50997, 52335, 50899, 52335, 50861, 52335, 51246, 51738, 50929, 51576, 50415, 52690, 51184, 76101, 51414, 51009, 50423, 54128, 53425, 51216, 61737, 79492, 51246, 50908, 75560, 50427, 51410, 51072, 68189, 52691, 51261, 50932, 53636, 51246, 55765, 50929, 53697, 50439, 51719, 51072, 51414, 51072, 51457, 51072, 52948, 63758, 51389, 51043, 73727, 51246, 51851, 69547, 50451, 51303, 51072, 51981, 51072, 50459, 51098, 55836, 50822, 50997, 52168, 50916, 52168, 50877, 52168, 50902, 52168, 53788, 50889, 53636, 51246, 53957, 50998, 52048, 50415, 51465, 51300, 51414, 51009, 51457, 51009, 52287, 51009, 50423, 51098, 53803, 52078, 51221, 50903, 65239, 51246, 50904, 50998, 63567, 53248, 51009, 50435, 51098, 56162, 52691, 51461, 56951, 78928, 50916, 52056, 50861, 52056, 50906, 52056, 51028, 52056, 51246, 52618, 50998, 51333, 50439, 52102, 51072, 51231, 51072, 51414, 51072, 51980, 63758, 51150, 51534, 73727, 50916, 71562, 77418, 78181, 51333, 51246, 50984, 57573, 50451, 51476, 51072, 51818, 51072, 50459, 51461, 53665, 50822, 53202, 51419, 54547, 51027, 51878, 50916, 51878, 50861, 51878, 50876, 51878, 51131, 53010, 69701, 50415, 56698, 51009, 51249, 51072, 50416, 51465, 51300, 51231, 60625, 51461, 50995, 73727, 51131, 51210, 50998, 60950, 53248, 51072, 51249, 51072, 68189, 50907, 51027, 52168, 50899, 52168, 50871, 52168, 50876, 52168, 60116, 50915, 53636, 51131, 53957, 50960, 52048, 50439, 52326, 51072, 51410, 51009, 51303, 51009, 51249, 63758, 51140, 51003, 73727, 51131, 50904, 50960, 65170, 68262, 51072, 51457, 51072, 52198, 55484, 50907, 53202, 51351, 53636, 51131, 53010, 69162, 50415, 56698, 51184, 51303, 51009, 51249, 51009, 52109, 66489, 51098, 61737, 65239, 51131, 51210, 50970, 60950, 53248, 51072, 51457, 51072, 50435, 54547, 51027, 52168, 50900, 52168, 50871, 52168, 62145, 63782, 78928, 50970, 52731, 50439, 52326, 51072, 51303, 51009, 51249, 51009, 52109, 63758, 51150, 50915, 73727, 51131, 51008, 50970, 60142, 53248, 51072, 51457, 51072, 50459, 54547, 53458, 51134, 54547, 50997, 51627, 50899, 51627, 50916, 51627, 50861, 51627, 51246, 51738, 50998, 51576, 50415, 66165, 51072, 52303, 51009, 51410, 51009, 51231, 60625, 51389, 50915, 73727, 51246, 50908, 50998, 78555, 54369, 51009, 68189, 50907, 50899, 61929, 52078, 51003, 53636, 50916, 64328, 66044, 69138, 51058, 51246, 55765, 50998, 53697, 50439, 51465, 51072, 52109, 51072, 50440, 76101, 51414, 51009, 50447, 50916, 60127, 64152, 62597, 58262, 51389, 51116, 73727, 51246, 51851, 69597, 50451, 51410, 51072, 51457, 51072, 52198, 55484, 50907, 70138, 50460, 51261, 50867, 54389, 51255, 53636, 51040, 51314, 50861, 51314, 50973, 51314, 51114, 51314, 51207, 53010, 51317, 51079, 50415, 52326, 51009, 52102, 51009, 51231, 51300, 51672, 51009, 51980, 72693, 51818, 60134, 52419, 53450, 51216, 61737, 68333, 51207, 51210, 51317, 60950, 52287, 51072, 68189, 52691, 52419, 62211, 77353, 52056, 50861, 52056, 50973, 52056, 51028, 52056, 51207, 52618, 51317, 51333, 50439, 55390, 51009, 51651, 63758, 52419, 71782, 55413, 50916, 71562, 52845, 50313, 52845, 50317, 51333, 51207, 50984, 51317, 69305, 52102, 51072, 51231, 51072, 51249, 51072, 50459, 54547, 54079, 51212, 54547, 50899, 51449, 50871, 51449, 50877, 51449, 51504, 53010, 69947, 50415, 53655, 51184, 51303, 51072, 50423, 80218, 53901, 51493, 51312, 73727, 51504, 51210, 50960, 60950, 52326, 51072, 51303, 51072, 68189, 54584, 51140, 51806, 53636, 50960, 52731, 50439, 51410, 51072, 51303, 65027, 51216, 51423, 73727, 51504, 51008, 50960, 60142, 52102, 69317, 51465, 50823, 51231, 57239, 51273, 53832, 55484, 50907, 53202, 50915, 53636, 50956, 52056, 50871, 52056, 50877, 52056, 50876, 52056, 51131, 52618, 51136, 51333, 50415, 53075, 51009, 51476, 51009, 51303, 51072, 51249, 51072, 50416, 51687, 51300, 50426, 51461, 51097, 50903, 65239, 50956, 52056, 50861, 52056, 50906, 52056, 50876, 52056, 51246, 50984, 51136, 67322, 51231, 51072, 51414, 51072, 76744, 51140, 51534, 50804, 78928, 50956, 52056, 50871, 52056, 50877, 52056, 50876, 52056, 51131, 52618, 51136, 51333, 50439, 56698, 51009, 53075, 51009, 51687, 51009, 51249, 51009, 51327, 51072, 50447, 57411, 52743, 51140, 50905, 73727, 50956, 70240, 52845, 50313, 52845, 50317, 51333, 51131, 50984, 51136, 69305, 52109, 51072, 50459, 51140, 56439, 50822, 59670, 51351, 54547, 50899, 51449, 50906, 51449, 50931, 51449, 51246, 52011, 50970, 51466, 50415, 55285, 51732, 51410, 52737, 51414, 52737, 51457, 52737, 50426, 51461, 51003, 73727, 51246, 51051, 76337, 50427, 53075, 51072, 68189, 54584, 51273, 51134 ]

[ 0, 250, 19448, 15855, 2125, 4246, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 7212, 20889, 4, 20, 2214, 7630, 6568, 10, 5679, 26709, 8, 11653, 6711, 6, 442, 24, 10686, 13, 304, 11, 822, 2369, 36546, 4, 20, 1049, 33215, 16739, 6, 3676, 6, 163, 119, 6, 230, 119, 1176, 406, 6, 272, 6, 8, 1918, 401, 6, 3639, 7, 5, 2125, 18, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 52552, 50625, 65309, 52410, 50947, 52801, 51076, 51973, 73260, 51032, 52030, 51067, 52674, 51032, 52057, 73500, 51076, 52313, 51292, 52175, 51504, 50802, 50947, 52325, 67452, 65962, 50802, 64668, 50929, 52410, 50970, 52801, 50929, 51973, 51504, 50802, 50947, 52030, 51076, 52674, 50947, 52057, 77148, 64668, 50929, 52313, 51032, 52175, 69407, 51311, 75700, 52325, 67452, 63133, 50802, 73500, 64668, 50998, 52410, 50960, 52801, 50998, 51973, 69407, 50970, 52030, 50929, 52674, 50970, 52057, 51725, 50802, 50998, 52313, 50947, 52175, 53092, 50802, 50960, 52325, 77135, 65309, 50802, 50947, 52410, 53092, 50802, 50929, 52801, 50970, 51973, 51725, 50802, 50998, 52030, 69407, 50960, 52125, 77148, 50986, 52313, 50960, 52911, 50986, 52116, 77148, 51311, 52325, 51131, 52937, 51311, 50803, 65309, 50824, 50986, 54024, 51311, 52244, 51131, 52801, 51311, 51973, 50986, 53300, 50960, 52119, 50998, 52674, 51078, 52057, 50929, 52313, 51574, 77994, 55373, 52028, 52116, 73500, 51292, 75487, 51131, 52937, 51207, 50803, 50799, 52028, 56778, 51067, 52244, 51311, 50802, 51032, 52801, 51067, 51973, 77148, 51563, 53300, 51032, 52119, 73260, 51076, 52674, 51032, 52057, 70712, 51786, 53609, 51076, 52284, 50947, 52911, 51076, 52116, 77148, 51032, 75487, 52028, 52937, 51574, 50803, 60533, 56778, 51076, 52244, 73500, 50947, 52801, 51076, 51973, 51725, 50802, 51292, 53300, 50947, 52119, 73260, 50929, 52674, 50947, 52057, 53092, 50824, 51067, 53609, 50929, 52284, 51078, 52911, 50929, 52116, 51725, 50802, 50947, 75487, 51444, 52937, 51725, 50803, 50799, 53092, 56778, 50929, 52244, 77148, 51078, 52801, 50929, 51973, 73513, 51032, 53300, 51078, 52119, 52562, 50802, 50998, 52674, 51078, 52057, 77148, 50929, 53609, 51078, 52284, 50960, 77994, 52911, 50986, 68850, 52116, 51311, 50802, 50929, 53532, 50947, 52163, 73260, 51076, 52937, 66126, 61108, 50802, 51076, 52410, 51131, 50803, 51292, 54433, 51207, 51973, 52028, 50802, 50947, 52030, 51574, 50803, 51549, 54241, 52028, 52057, 51207, 50803, 51292, 56119, 52028, 52284, 51574, 77994, 55373, 52028, 52116, 51207, 53532, 51131, 52163, 51311, 50803, 50929, 72430, 50986, 50803, 61894, 56778, 50970, 52244, 64668, 50998, 52801, 50970, 51973, 51311, 50803, 51067, 55396, 51131, 52119, 51311, 75700, 52125, 50998, 53609, 50960, 52284, 50986, 77994, 52911, 51311, 50803, 50929, 52116, 73260, 51032, 75487, 51846, 52937, 51131, 50803, 73934, 56778, 50960, 52244, 73260, 50986, 52801, 50960, 51973, 51846, 50802, 51076, 52030, 77148, 50960, 52125, 50986, 53609, 51311, 52284, 51131, 50803, 50986, 52911, 51311, 77994, 52116, 64668, 50947, 75487, 51311, 52937, 50986, 50803, 60533, 50824, 50960, 72642, 50970, 52244, 50998, 52801, 50960, 51973, 53092, 67551, 53300, 50970, 52119, 50947, 52674, 50960, 52057, 51725, 67551, 53609, 50998, 52284, 50960, 52911, 50986, 52116, 52012, 67551, 53532, 50998, 52163, 50947, 52937, 50986, 50803, 58700, 67551, 54024, 50960, 52244, 50986, 52801, 51311, 51973, 51444, 67551, 53300, 50960, 52119, 50947, 52674, 51311, 52057, 52012, 67551, 53609, 50986, 52284, 51311, 52911, 51131, 52116, 51504, 50802, 50960, 53532, 51131, 52163, 77148, 50998, 52937, 51131, 50803, 60533, 50802, 50929, 54024, 50970, 52244, 51725, 50802, 50998, 52801, 50960, 51973, 53092, 50802, 51169, 53300, 50960, 52119, 73513, 50947, 52674, 50960, 52057, 51574, 51059, 51032, 53609, 51076, 52284, 50947, 52911, 51169, 52116, 51292, 51029, 50453, 51444, 52163, 51725, 52937, 53092, 50803, 63133, 52410, 50986, 63935, 52801, 50960, 50803, 51076, 51973, 65318, 51032, 53300, 50947, 52119, 77148, 50998, 52674, 51169, 52057, 52012, 67551, 52313, 50622, 51131, 52325, 50625, 51131, 52937, 51311, 50803, 61080, 54024, 50998, 52244, 52012, 51029, 50947, 52801, 50998, 51973, 50986, 53300, 51131, 52119, 51846, 52674, 51131, 52057, 50986, 53609, 50998, 52284, 52012, 51029, 50947, 52911, 50998, 52116, 50986, 53532, 51131, 52163, 51846, 52937, 51131, 50803, 61894, 54024, 51169, 52244, 52012, 51029, 51076, 52801, 51169, 51973, 50960, 53300, 51131, 52119, 51846, 52674, 51131, 52057, 50998, 53609, 51169, 52284, 52012, 51029, 51076, 52911, 51169, 52116, 50960, 53532, 51131, 52163, 51846, 52937, 51131, 50803, 69146, 54024, 50947, 52244, 52012, 51029, 51032, 52801, 50947, 51973, 50998, 53300, 51131, 52119, 51846, 52674, 51131, 52057, 50998, 53609, 50947, 52284, 52012, 51029, 51032, 52911, 50947, 52116, 50998, 53532, 51131, 52163, 51846, 52937, 51131, 50803, 60533, 50802, 51311, 54024, 50986, 52244, 51725, 50802, 50960, 52801, 50998, 51973, 53092, 50802, 51078, 53300, 51169, 52119, 73513, 50947, 52674, 51076, 52057, 77148, 51032, 53609, 50947, 52284, 51574, 50803, 51076, 55373, 52028, 52116, 51846, 55680, 51292, 52163, 73260, 51549, 52937, 51292, 50803, 50799, 51076, 54024, 51169, 52244, 51574, 51029, 50998, 52801, 51169, 51973, 51076, 53300, 51067, 52119, 51032, 52674, 51067, 52057, 51076, 53609, 51169, 52284, 51574, 51029, 50998, 52911, 51169, 52116, 51076, 53532, 50947, 52163, 51169, 52937, 50947, 50803, 69146, 54024, 51317, 52244, 52012, 51029, 51131, 52801, 51317, 51973, 50998, 53300, 50929, 52119, 50970, 52674, 50929, 52057, 50998, 53609, 51317, 52284, 52012, 51029, 51131, 52911, 51317, 52116, 50998, 53532, 51067, 52163, 51316, 52937, 69051, 72243, 54024, 51078, 52244, 51444, 51029, 50960, 52801, 51078, 51973, 50947, 53300, 51032, 52119, 51076, 52674, 51032, 52057, 50947, 53609, 51078, 52284, 51444, 51029, 50960, 52911, 51078, 52116, 50947, 53532, 50929, 52163, 51078, 52937, 66187, 61894, 54024, 51311, 52244, 51207, 51029, 50423, 51311, 51973, 50960, 53300, 50970, 52119, 50998, 52674, 50970, 52057, 50960, 53609, 51311, 52284, 51207, 51029, 50447, 51311, 52116, 50960, 53532, 51032, 52163, 51076, 52937, 66126, 60938, 54024, 50998, 52244, 51725, 50802, 50986, 52801, 50998, 51973, 78453, 50929, 53300, 51032, 52119, 51076, 52674, 51032, 52057, 62875, 50970, 53609, 51067, 52284, 61286, 51076, 52911, 51067, 52116, 64668, 50998, 53532, 51032, 52163, 68356, 50947, 52937, 66126, 73934, 50802, 50960, 52410, 51131, 50803, 50929, 54433, 51311, 51973, 50986, 58542, 50947, 52119, 51076, 52674, 51032, 52057, 51311, 50802, 51067, 53609, 51076, 52284, 65318, 50929, 52911, 51076, 52116, 73260, 51032, 53532, 50947, 52163, 62875, 50970, 52937, 50947, 50803, 61108, 50802, 51076, 52410, 51504, 77994, 54433, 51207, 51973, 51131, 58542, 50929, 52119, 50970, 52674, 50960, 52057, 79097, 50998, 53609, 50929, 52284, 50998, 52911, 50986, 52116, 51504, 50802, 50960, 53532, 50970, 52163, 73500, 50960, 52937, 51311, 50803, 61080, 50802, 50998, 54024, 50970, 52244, 51311, 50803, 50929, 64381, 51131, 51973, 51207, 52030, 51504, 50802, 50947, 52674, 51076, 52057, 77148, 51032, 52313, 51504, 50802, 51076, 52911, 50947, 52116, 73500, 50929, 52325, 73500, 51311, 50802, 68356, 63133, 77994, 56778, 53092, 52244, 51725, 50803, 50986, 54433, 51444, 51973, 51574, 53300, 52028, 52119, 51207, 52674, 51131, 52057, 51311, 53609, 51131, 52284, 51311, 50803, 50929, 52911, 50986, 63935, 52116, 62875, 51076, 52325, 61286, 51032, 52937, 65561, 50799, 51078, 63935, 56778, 50960, 52244, 51311, 50803, 51067, 54433, 50960, 51973, 50998, 50803, 50929, 55396, 50986, 52119, 51131, 50803, 51032, 54241, 50986, 52057, 62875, 51078, 52313 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 21979, 8669, 6, 13305, 6, 3459, 9590, 6, 21072, 6, 8, 2342, 4467, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 11956, 178, 5285, 20889, 4, 20, 2125, 7630, 6568, 10, 1472, 9, 36474, 13005, 8, 5823, 6, 19, 5, 33215, 16739, 9, 230, 6, 1918, 6, 8, 274, 119, 1176, 406, 1271, 7, 63, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57128, 50799, 51825, 58536, 51469, 50900, 51353, 50871, 51353, 50877, 51353, 51164, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50791, 55949, 55614, 50856, 53403, 51327, 51631, 52287, 59746, 51662, 50885, 51662, 50872, 51662, 52261, 50432, 51825, 54572, 50915, 58285, 50872, 54975, 52932, 51370, 52878, 52287, 61128, 51097, 50885, 51097, 69427, 50447, 51825, 51757, 51981, 51049, 54363, 52287, 51754, 51981, 54572, 59847, 56144, 50974, 57128, 51825, 62415, 51655, 50899, 51359, 50871, 51359, 50877, 51359, 51171, 50915, 50946, 60871, 50915, 50946, 51283, 50848, 51283, 50872, 51283, 50791, 55949, 52981, 51327, 51631, 52287, 60019, 51662, 50946, 51662, 50848, 51662, 76372, 51825, 54572, 51003, 62224, 50872, 56509, 52932, 51370, 52878, 52287, 61128, 51097, 67355, 69427, 50447, 51825, 51757, 51981, 51049, 54363, 52287, 51754, 51981, 54572, 59925, 58736, 50838, 57128, 51825, 50795, 51096, 51469, 50871, 51359, 50906, 51359, 50902, 51359, 52021, 50915, 51164, 50915, 51037, 50915, 51037, 51283, 50848, 51283, 50872, 51283, 50791, 55949, 53223, 51327, 51631, 52287, 50795, 52021, 51662, 51164, 51662, 51037, 51662, 52261, 50432, 51825, 56592, 60871, 64986, 54975, 52932, 51370, 52878, 52287, 56932, 50932, 74868, 67907, 50447, 51825, 51757, 51981, 51049, 56725, 55223, 50856, 55423, 52287, 51754, 51981, 56592, 59718, 56144, 50974, 57128, 51825, 68152, 51036, 50997, 51353, 50899, 51353, 50871, 51353, 51332, 51003, 74962, 65131, 51037, 51283, 50848, 51283, 50872, 51283, 50791, 55949, 55614, 50856, 53403, 51327, 51631, 52287, 50795, 51332, 67881, 57245, 50905, 76372, 51825, 56592, 60871, 64986, 50915, 51332, 51318, 50988, 51318, 79845, 51065, 56748, 50856, 52742, 52932, 51370, 52878, 52287, 56932, 51097, 67355, 69427, 50447, 51825, 51757, 51981, 50800, 51332, 50995, 71432, 64583, 61713, 53922, 52287, 51754, 51981, 56592, 59718, 56144, 50974, 57128, 51825, 58536, 51696, 50871, 51359, 50877, 51359, 50876, 51359, 51164, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50791, 55949, 55614, 50856, 53403, 51327, 51631, 52287, 59746, 51662, 50885, 51662, 50872, 51662, 76372, 51825, 54572, 50915, 58285, 50872, 54975, 52932, 51370, 52878, 52287, 61128, 50932, 77043, 67907, 50447, 51825, 51757, 51981, 51049, 56725, 53922, 52287, 51754, 51981, 54572, 59847, 56144, 50974, 57128, 51825, 62415, 51696, 50899, 51359, 50871, 51359, 50877, 51359, 51171, 50915, 50946, 60871, 50915, 50946, 51283, 50848, 51283, 50872, 51283, 50791, 55949, 52981, 51327, 51631, 52287, 60019, 59467, 57053, 50905, 52261, 50432, 51825, 54572, 60871, 64986, 50915, 51171, 51318, 50946, 51318, 79927, 51065, 56748, 50856, 52742, 52932, 51370, 53041, 52287, 61128, 50932, 74868, 67907, 50447, 51825, 51757, 51981, 50800, 51171, 50995, 78883, 61542, 51441, 51202, 53922, 52287, 51754, 51981, 54572, 59718, 56144, 50974, 57128, 51825, 50795, 51096, 51469, 50871, 51353, 50906, 51353, 50902, 51353, 52021, 50915, 51164, 50915, 51037, 50915, 51037, 51477, 50848, 51477, 50872, 51477, 50791, 55949, 56260, 50856, 53403, 51327, 51631, 52287, 50795, 52021, 51523, 50297, 69178, 50905, 76372, 51825, 56592, 60871, 64986, 50915, 52021, 51318, 51164, 51318, 51037, 51318, 50438, 52932, 51370, 52878, 52287, 56932, 51097, 67355, 69427, 50447, 51825, 51757, 51981, 50800, 52021, 50995, 51164, 50995, 74732, 52093, 50453, 52287, 51754, 51981, 56592, 59718, 56144, 50974, 57128, 51825, 68152, 51655, 50871, 51353, 50906, 51353, 50902, 51353, 51332, 50915, 69433, 58285, 51037, 51477, 50848, 51477, 50872, 51477, 50791, 55949, 52981, 51327, 51631, 52287, 50795, 51332, 67881, 57245, 50905, 52261, 50432, 51825, 56592, 60871, 64986, 50915, 51332, 51318, 50988, 51318, 79845, 50438, 52932, 51370, 53041, 52287, 56932, 51097, 67355, 50872, 62877, 55721, 51825, 52390, 53166, 51981, 50800, 51332, 50995, 71432, 64583, 50816, 54944, 52287, 52390, 53556, 51981, 56592, 59925, 58736, 55974, 50841, 53206, 50908, 50799, 59857, 50945, 51274, 50900, 51151, 50871, 51151, 50877, 51151, 51164, 51003, 65131, 59381, 50946, 51318, 79845, 50872, 51318, 51335, 55089, 51041, 53516, 58352, 51164, 51677, 50885, 51677, 50872, 51677, 53659, 52844, 50945, 60884, 51003, 65131, 59381, 50801, 52621, 50929, 58536, 51016, 51897, 52878, 50970, 54572, 50995, 64583, 50872, 57991, 71048, 50964, 50914, 53659, 52738, 50946, 57245, 56743, 50905, 50799, 59857, 50927, 51274, 50871, 51151, 50877, 51151, 50902, 51151, 51171, 50943, 71047, 59911, 50946, 51318, 79927, 50872, 51318, 51897, 53516, 71655, 51171, 64004, 57046, 50892, 53659, 52844, 50927, 60884, 51003, 62224, 59381, 51171, 51310, 50946, 51310, 50848, 51310, 50435, 50929, 58291, 50947, 52444, 61675, 50927, 51196, 51897, 52878, 50970, 54572, 50995, 61542, 50872, 57991, 71048, 51171, 50981, 62443, 59762, 53659, 52881, 50946, 77256, 60745, 50834, 50799, 56745, 51096, 51343, 50899, 51151, 50871, 51151, 50877, 51151, 52021, 50943, 51164, 50943, 51037, 50943, 50946, 51318, 79927, 50872, 51318, 51897, 53087, 71048, 52021, 51501, 50297, 67842, 50892, 53659, 52844, 51096, 60884, 51003, 62224, 59381, 52021, 51310, 51164, 51310, 51037, 51310, 50801, 52766, 57304, 51096, 51196, 51897, 52878, 50929, 54572, 51318, 79927, 50872, 72269, 68137, 52021, 50981, 51164, 50981, 78889, 53659, 50828, 50799, 67877, 51096, 51274, 51040, 51353, 50871, 51353, 50906, 51353, 52021, 50943, 51164, 50943, 51037, 50943, 51037, 51318, 51017, 51318, 50872, 51318, 51897, 53087, 50947, 50991, 52021, 51501, 50297, 67842, 50892, 53659, 52844, 51096, 68726, 50943, 73132, 59504, 52021, 51310, 51164, 51310, 51037, 51310, 50801, 54248, 51064, 51724, 57304, 51096, 50896, 52166, 53041, 50929, 56592, 50995, 51017, 50995, 50872, 57991, 59205, 79292, 52021, 50981, 51164, 50981, 78889, 55359, 52738, 50960, 56932, 69751, 56743, 60745, 54794, 61270, 61080, 50967, 50945, 51274, 74228, 68485, 73891, 51164, 61677, 50943, 59504, 50946, 51318, 79845, 50872, 51318, 51897, 59013, 50970, 53467, 50929, 58067, 50947, 52329, 71655, 51164, 51677, 50885, 51677, 50872, 51677, 53659, 52844, 50945, 57743, 51803, 50877, 51803, 50876, 51803, 50946, 61677, 50943, 59504, 50437, 50947, 52444, 50929, 58536, 50896, 52166, 52878, 50970, 54572, 50995, 64583, 50872, 57991, 50947, 63847, 50943, 53659, 52738, 50946, 57245, 56743, 60745, 50829, 50799, 59857, 50927, 51274, 50899, 51353, 50871, 51353, 50877, 51353, 51171, 50943, 71047, 59911, 50946, 51318, 79927, 50872, 51318, 51897, 53087, 58352, 51171, 64004, 57046, 50892, 53659, 52667, 50927, 59157, 51003, 62224, 59381, 51171, 51310, 50946, 51310, 50848, 51310, 50801, 52621, 61675, 50927, 50943, 52166, 52878, 50970, 54572, 50995, 61542, 50872, 57991, 71048, 51069, 50914, 51171, 50981, 62443, 59762, 53659, 52738, 50946, 77256, 60745, 50835, 50799, 56745, 51096, 51274, 50871, 51353, 50877, 51353, 50902, 51353, 52021, 51003, 51164, 51003, 51037, 51003, 50946, 51318, 79927, 50872, 51318, 51897, 53087, 71048, 52021, 51501, 50297, 67842, 50892, 55359, 52844, 51096, 60884, 50943, 59911, 59504, 52021, 51310, 51164, 51310, 51037, 51310, 50801, 52621, 57304, 51096, 51274, 51897, 52878, 50929, 54572, 50995, 61542, 50872, 57991, 68137, 52021, 50981, 51164, 50981, 78889, 53659, 52738, 51096, 59157, 77256, 50905, 50799, 67877, 51096 ]

[ 0, 250, 20902, 3495, 1619, 2214, 4246, 10, 930, 2233, 6, 1076, 560, 31365, 25999, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 3459, 9590, 6, 8, 21072, 6, 70, 8216, 7, 63, 20425, 8, 15352, 30054, 16464, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 10529, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 2060, 6, 12608, 6, 230, 119, 406, 6, 163, 428, 6, 8, 12608, 1271, 7, 63, 33928, 8, 2829, 31214, 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 ]

[ 56236, 61006, 60134, 61006, 61347, 61006, 61109, 57118, 53609, 52022, 50802, 55080, 52737, 52693, 52737, 54165, 52737, 58130, 57639, 62813, 50843, 54185, 52495, 50803, 54802, 50823, 53009, 50823, 54136, 52279, 52791, 61379, 59730, 54136, 52702, 57490, 51325, 51599, 51805, 50811, 51809, 50843, 69150, 63687, 50803, 52495, 50811, 53009, 50803, 54802, 50823, 54136, 51779, 52791, 61379, 58099, 50843, 63432, 63687, 50823, 52022, 50860, 52963, 57485, 50843, 68569, 52495, 50811, 53009, 50803, 54802, 50823, 54136, 51463, 52791, 61379, 60869, 63687, 50803, 54136, 52702, 65807, 61684, 50823, 51325, 50860, 52963, 62161, 50843, 67321, 57118, 50823, 52495, 50811, 54802, 50823, 53009, 50823, 54136, 50811, 51415, 51812, 52791, 61379, 56628, 50843, 50867, 52478, 61684, 50860, 74902, 51401, 50860, 53953, 52737, 54165, 52737, 53465, 52737, 58130, 54381, 52159, 52702, 64644, 57600, 50811, 52822, 50803, 53564, 50803, 55627, 50817, 52159, 52279, 52791, 61379, 52726, 56079, 50823, 55627, 50811, 52159, 52702, 63136, 51105, 50975, 51401, 52466, 53903, 50441, 52159, 52702, 63381, 52822, 50811, 57600, 50803, 53564, 50803, 55627, 50811, 52159, 52279, 52791, 61379, 52768, 52159, 52702, 63226, 51325, 50860, 51401, 51520, 53903, 50459, 52159, 52702, 50867, 51601, 61684, 50823, 57600, 50811, 52822, 50811, 53564, 50803, 55627, 50811, 62995, 52159, 52279, 52791, 61379, 53213, 55627, 50811, 52159, 52001, 62475, 61684, 50811, 57909, 51401, 52466, 53903, 67500, 58814, 61684, 52702, 50867, 75537, 62751, 57600, 50811, 52822, 50811, 53564, 50803, 55627, 50803, 66490, 51616, 57432, 52791, 61379, 50811, 67500, 55276, 61684, 54972, 64831, 51105, 50976, 53953, 52737, 52507, 52737, 53361, 52737, 58130, 50811, 67500, 50860, 59341, 64732, 53427, 50811, 53564, 50803, 78174, 69422, 51463, 52791, 61379, 52884, 69422, 52702, 60870, 51096, 55877, 51805, 50811, 74357, 50976, 52177, 50843, 60999, 59678, 50860, 53427, 50811, 53564, 50811, 52239, 50803, 69422, 52279, 52791, 61379, 58860, 50843, 62627, 61684, 50860, 51105, 55311, 51805, 50811, 67500, 78422, 50843, 68273, 53564, 50811, 53427, 50803, 52239, 50803, 69422, 51463, 52791, 61379, 59135, 61684, 50811, 69422, 52702, 61444, 61684, 71966, 50976, 52963, 50811, 74357, 67897, 50843, 62309, 63687, 50823, 53427, 50811, 53564, 50811, 52239, 50803, 69422, 50811, 51228, 51812, 52791, 61379, 50811, 51601, 50843, 68162, 56079, 50802, 51325, 50976, 53953, 52737, 54165, 52737, 53465, 52737, 58130, 50811, 58220, 71577, 50843, 58594, 52822, 50811, 53564, 50811, 53009, 50803, 55627, 52279, 52791, 61379, 59009, 55627, 52702, 54077, 51105, 57759, 51805, 50811, 67500, 50976, 63262, 56317, 52822, 50811, 53009, 50811, 53564, 50803, 55627, 52279, 52791, 61379, 58614, 50843, 54481, 51325, 55877, 51805, 50811, 58220, 73481, 50843, 50867, 52177, 61006, 50823, 52822, 50811, 53564, 50811, 53009, 50811, 55627, 51463, 52791, 61379, 59852, 55627, 52702, 53803, 61006, 50811, 51105, 54482, 51805, 50811, 67500, 61515, 61006, 54328, 56030, 52822, 50811, 53564, 50811, 53009, 50811, 55627, 52279, 52791, 61379, 61746, 57118, 52001, 54434, 52022, 50802, 55080, 52737, 52693, 52737, 54165, 52737, 58130, 57639, 61230, 50843, 58345, 52495, 50803, 54802, 50823, 53009, 50823, 54136, 52279, 52791, 61379, 58150, 54136, 52702, 50867, 55563, 51599, 51805, 60861, 50843, 55754, 63687, 50803, 52495, 50811, 53009, 50803, 54802, 50823, 54136, 51779, 52791, 61379, 61347, 50843, 64938, 63687, 50823, 52022, 50860, 52963, 57784, 50843, 63776, 52495, 50811, 53009, 50803, 54802, 50823, 54136, 51463, 52791, 61379, 57915, 63687, 50803, 54136, 52702, 68857, 61684, 50823, 51325, 50860, 52963, 59730, 50843, 65315, 57118, 50823, 52495, 50811, 54802, 50823, 53009, 50823, 54136, 50811, 51415, 51812, 52791, 61379, 50811, 51809, 50843, 69150, 61684, 50860, 74902, 51401, 50860, 53953, 52737, 54165, 52737, 53465, 52737, 58130, 58099, 52159, 52702, 63432, 57600, 50811, 52822, 50803, 53564, 50803, 55627, 50817, 52159, 52279, 52791, 61379, 54496, 56079, 50823, 55627, 50811, 52159, 52702, 68569, 51105, 50975, 51401, 52466, 51156, 52940, 52159, 52702, 65807, 52822, 50811, 57600, 50803, 53564, 50803, 55627, 50811, 52159, 52279, 52791, 61379, 55552, 52159, 52702, 67321, 51325, 50860, 51401, 51520, 53903, 76503, 52702, 64685, 61684, 50823, 57600, 50811, 52822, 50811, 53564, 50803, 55627, 50811, 62995, 52159, 52279, 52791, 61379, 54381, 55627, 50811, 52159, 52001, 64644, 61684, 50811, 57909, 51401, 52466, 53903, 67500, 54179, 61684, 52702, 50867, 75537, 66519, 57600, 50811, 52822, 50811, 53564, 50803, 55627, 50803, 66490, 51616, 57432, 52791, 61379, 50811, 67500, 61870, 61684, 54972, 61794, 51105, 50976, 53953, 52737, 52507, 52737, 53361, 52737, 58130, 50811, 67500, 54554, 50843, 63340, 53427, 50811, 53564, 50803, 78174, 69422, 51463, 52791, 61379, 54871, 69422, 52702, 50867, 51809, 51096, 55877, 51805, 50811, 74357, 50976, 52399, 62475, 59678, 50860, 53427, 50811, 53564, 50811, 52239, 50803, 69422, 52279, 52791, 61379, 50811, 53764, 59992, 61684, 50860, 51105, 55311, 51805, 50811, 67500, 63747, 50843, 64831, 53564, 50811, 53427, 50803, 52239, 50803, 69422, 51463, 52791, 61379, 59788, 61684, 50811, 69422, 52702, 64732, 61684, 71966, 50976, 52963, 50811, 74357, 58691, 50843, 60870, 63687, 50823, 53427, 50811, 53564, 50811, 52239, 50803, 69422, 50811, 51228, 51812, 52791, 61379, 50811, 52478, 50843, 60999, 56079, 50802, 51325, 50976, 53953, 52737, 54165, 52737, 53465, 52737, 58130, 50811, 58220, 66057, 50843, 62627, 52822, 50811, 53564, 50811, 53009, 50803, 55627, 52279, 52791, 61379, 58212, 55627, 52702, 59138, 51105, 57759, 51805, 50811, 67500, 50976, 50445, 50843, 54185, 52822, 50811, 53009, 50811, 53564, 50803, 55627, 52279, 52791, 61379, 59154, 50843, 57490, 51325, 55877, 51805, 50811, 58220, 50860, 51601, 50843, 55105, 61006, 50823, 52822, 50811, 53564, 50811, 53009, 50811, 55627, 51463, 52791, 61379, 58242, 55627, 52702, 58594, 61006, 50811, 51105, 54482, 51805, 50811, 67500, 59786, 61006, 54328, 54077, 52822, 50811, 53564, 50811, 53009, 50811, 55627, 52279, 52791, 61379, 60869, 57118, 52001, 56317, 52022, 50802, 55080, 52737, 52693, 52737, 54165, 52737, 58130, 57639, 70834, 50843, 54481, 52495, 50803, 54802, 50823, 53009, 50823, 54136, 52279, 52791, 61379, 56628, 54136, 52702, 50867, 52177, 51325, 51599, 51805, 57646, 50843, 53803, 63687, 50803, 52495, 50811, 53009, 50803, 54802, 50823, 54136, 51779, 52791, 61379, 58221, 50843, 56030, 63687, 50823, 52022, 50860, 52963, 61746, 50843, 63381, 52495, 50811, 53009, 50803, 54802, 50823, 54136, 51463, 52791, 61379, 57795, 63687, 50803, 54136, 52702, 63226, 61684, 50823, 51325, 50860, 52963, 58150, 50843, 50867, 51601, 57118, 50823, 52495, 50811, 54802, 50823, 53009, 50823, 54136, 50811, 51415, 51812, 52791, 61379, 60861, 50843, 63339, 61684, 50860, 74902, 51401, 50860, 53953, 52737, 54165, 52737, 53465, 52737, 58130, 61347, 52159, 52702, 64938, 57600, 50811, 52822, 50803, 53564, 50803, 55627, 50817, 52159, 52279, 52791, 61379, 57784, 56079, 50823, 55627, 50811, 52159, 52702, 63776, 51105, 50975, 51401, 52466, 53903, 50447, 52159, 52702, 68857, 52822, 50811, 57600, 50803, 53564, 50803, 55627, 50811, 52159, 52279, 52791, 61379, 52884, 52159, 52702, 65315, 51325 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 980, 219, 8, 3366, 219, 5466, 6, 4246, 38668, 22052, 6, 38668, 483, 6, 13602, 6757, 6, 21072, 6, 8, 38668, 9590, 4, 8504, 11, 5, 762, 9, 163, 428, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 10, 11956, 38451, 3938, 20889, 4, 20, 33215, 16739, 9, 163, 43531, 6, 274, 10431, 6, 12608, 73, 597, 6, 163, 43531, 6, 8, 274, 10431, 3639, 7, 5, 2214, 18, 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 ]

[ 57333, 50796, 76501, 52479, 57241, 53112, 50962, 50799, 53112, 51552, 52606, 51359, 52582, 51307, 52072, 51359, 53034, 51359, 53608, 51353, 50432, 53714, 51496, 50799, 52606, 51183, 52582, 51127, 52252, 51183, 53034, 51183, 53608, 60610, 52016, 51183, 51821, 51127, 52072, 51183, 52009, 51183, 52547, 69600, 52479, 60345, 53112, 50890, 50799, 53112, 51552, 52606, 51359, 52582, 51307, 52072, 51359, 53034, 51359, 53608, 51353, 50432, 53714, 51661, 50799, 52606, 51127, 52582, 51103, 52252, 51127, 53034, 51127, 53608, 64164, 52016, 51127, 51821, 51127, 52072, 51047, 52009, 51183, 52547, 77307, 52479, 60345, 53112, 50962, 50799, 53112, 51761, 52606, 51359, 52582, 51359, 52072, 51151, 53034, 51353, 53608, 51293, 50432, 53714, 52282, 53870, 51562, 52490, 51562, 53292, 51505, 52606, 51183, 52582, 51127, 52252, 51103, 53034, 51183, 53608, 68076, 53714, 51388, 50438, 51105, 51448, 52490, 51448, 53112, 51237, 51821, 51183, 52398, 51127, 52736, 51103, 52547, 51183, 54229, 51183, 50450, 53292, 54403, 53292, 51696, 53870, 51036, 52490, 51036, 50746, 50295, 51184, 66024, 51184, 60608, 51184, 65050, 51184, 52606, 51307, 52582, 51307, 52072, 51151, 53034, 51359, 53608, 51293, 50441, 73683, 51300, 51528, 51300, 51206, 51151, 51105, 50807, 52490, 50807, 53015, 51012, 53292, 51505, 52606, 51413, 52582, 51189, 52072, 51134, 53034, 50943, 53608, 75584, 54133, 51138, 53714, 63982, 53112, 51138, 54097, 60919, 53015, 50923, 57390, 52325, 57390, 51021, 53015, 50893, 51528, 51594, 65487, 54748, 50828, 51105, 50976, 52490, 50976, 53815, 51359, 53125, 51359, 53475, 51353, 58670, 51505, 54264, 51100, 52072, 51359, 53034, 51359, 53608, 51353, 51921, 62861, 52273, 58250, 62129, 72356, 77264, 51832, 60659, 54384, 52516, 53696, 50841, 51105, 51012, 52490, 51012, 58670, 51012, 54264, 50805, 51999, 50971, 51974, 73242, 58250, 62129, 50803, 59674, 52505, 50911, 62423, 50893, 54256, 50892, 66837, 50882, 55407, 51045, 52224, 58586, 51832, 51450, 51864, 54701, 50841, 78153, 53185, 50911, 67060, 50911, 56256, 50901, 52260, 50891, 52129, 51594, 52273, 58064, 62129, 50803, 67038, 52401, 50923, 64451, 50806, 54025, 50845, 66837, 51014, 55407, 51045, 52283, 57301, 51832, 62178, 54384, 52516, 53696, 50839, 51205, 51286, 54306, 51286, 58203, 50948, 56845, 50866, 66837, 51033, 55407, 51045, 73516, 56370, 57305, 62129, 50803, 66837, 50936, 55407, 50936, 52215, 58586, 51832, 51528, 51594, 54701, 63055, 50851, 51205, 51012, 54306, 51012, 53815, 51127, 52867, 51103, 53475, 51183, 58203, 51505, 56845, 51111, 52252, 51183, 53034, 51183, 53608, 51047, 51921, 62861, 52273, 58250, 62129, 72356, 77264, 51832, 60659, 54384, 52516, 53696, 50841, 51205, 50923, 54306, 50923, 58203, 51138, 56845, 50849, 51999, 50971, 51974, 73242, 58250, 62129, 50803, 51228, 51012, 53185, 51012, 67060, 50893, 56256, 50892, 66837, 50882, 55407, 51045, 52224, 58586, 51832, 51450, 51508, 54701, 66999, 50810, 51096, 51379, 52999, 51379, 52592, 51127, 53125, 51127, 53648, 51183, 59463, 50879, 54685, 50905, 52072, 51183, 52009, 51183, 52547, 51047, 52260, 70041, 52273, 58064, 62129, 50803, 66837, 51014, 55407, 51045, 52283, 57301, 51832, 62178, 54384, 52516, 53696, 50839, 66837, 51033, 55407, 51045, 73516, 56370, 57305, 62129, 50803, 66837, 50936, 55407, 50936, 52215, 58586, 51832, 51528, 51594, 65487, 54748, 50828, 51105, 50976, 52490, 50976, 53815, 51359, 53125, 51359, 53475, 51353, 58670, 51505, 54264, 51110, 52072, 51359, 53034, 51359, 53608, 51353, 51921, 62861, 52273, 58250, 62129, 72356, 77264, 51832, 60659, 54384, 52516, 53696, 50841, 51105, 51012, 52490, 51012, 58670, 51012, 54264, 50805, 51999, 50971, 51974, 73242, 58250, 62129, 50803, 59674, 52505, 50911, 62423, 50893, 54256, 50892, 66837, 50882, 55407, 51045, 52224, 58586, 51832, 51450, 51864, 54701, 50841, 78153, 53185, 50911, 67060, 50911, 56256, 50901, 52260, 50891, 52129, 51594, 52273, 58064, 62129, 50803, 67038, 52401, 50923, 64451, 50806, 54025, 50845, 66837, 51014, 55407, 51045, 52283, 57301, 51832, 62178, 54384, 52516, 53696, 50839, 51205, 51286, 54306, 51286, 58203, 50948, 56845, 50866, 66837, 51033, 55407, 51045, 73516, 56370, 57305, 62129, 50803, 66837, 50936, 55407, 50936, 52215, 58586, 51832, 51528, 51594, 54701, 63055, 50851, 51205, 51012, 54306, 51012, 53815, 51127, 52867, 51103, 53475, 51183, 58203, 51505, 56845, 51111, 52252, 51183, 53034, 51183, 53608, 51047, 51921, 62861, 52273, 58250, 62129, 72356, 77264, 51832, 60659, 54384, 52516, 53696, 50841, 51205, 50923, 54306, 50923, 58203, 51138, 56845, 50849, 51999, 50971, 51974, 73242, 58250, 62129, 50803, 51228, 51012, 53185, 51012, 67060, 50893, 56256, 50892, 66837, 50882, 55407, 51045, 52224, 58586, 51832, 51450, 51508, 54701, 66999, 50810, 51096, 51379, 52999, 51379, 52592, 51127, 53125, 51127, 53648, 51183, 59463, 50879, 54685, 50905, 52072, 51183, 52009, 51183, 52547, 51047, 52260, 50891, 73683, 52097, 51180, 52273, 58064, 62129, 50803, 66837, 51014, 55407, 51045, 52283, 57301, 51832, 62178, 54384, 52516, 53696, 50839, 66837, 51033, 55407, 51045, 73516, 56370, 57305, 62129, 50803, 66837, 50936, 55407, 50936, 52215, 58586, 51832, 51528, 65765, 65487, 51422, 50832, 50828, 53292, 52244, 53292, 54381, 54427, 60493, 53355, 60364, 55794, 60159, 55794, 57782, 55794, 51653, 62178, 54384, 52516, 50930, 53462, 56192, 50941, 55537, 50803, 52215, 52445, 50799, 53222, 61530, 51594, 54701, 67853, 50907, 71110, 54306, 50806, 60516, 51447, 72190, 52147, 51921, 58156, 53222, 59251, 52273, 61988, 50362, 52486, 72356, 50365, 52073, 52794, 50426, 58073, 75382, 54384, 52516, 53696, 50837, 51205, 50893, 54306, 50893, 51999, 72605, 53222, 61530, 73242, 61988, 50362, 52486, 50803, 70195, 53185, 62960, 58073, 70069, 50364, 51459, 79122, 53222, 64843, 51508, 54701, 66161, 50822, 63984, 52999, 50865, 60608, 51447, 63036, 52147, 50441, 58073, 77340, 57278, 53222, 57284, 52273, 61988, 50362, 52486, 52911, 58073, 50364, 53102, 51459, 52794, 50450, 53222, 50365, 51597, 54384, 52516, 53696, 50837, 52145, 59923, 53222, 51269, 56370, 58586, 50362, 52486, 52937, 58073, 70069, 50363, 51459, 52794, 50799, 53222, 61530, 51594, 54701, 50835, 51105, 51192, 52490, 51192, 53292, 50811, 51921, 58156, 53222, 59251, 52273, 61988, 50362, 52486, 50803, 53292, 50811, 52111, 50365, 52073, 52794, 54427, 59101, 58073, 75382, 54384, 52516, 53696, 50837, 63046, 52490, 50806, 51999, 72605, 53222, 61530, 73242, 61988, 50362, 52486, 50803, 65340, 52505, 50879, 53355, 53660, 58073, 70069, 50364, 51459, 79122, 53222, 64843, 51864, 54701, 50825, 66072, 53185, 50795, 55794, 55092, 58073, 77340, 57278, 53222, 64843, 51594, 52273, 61988, 50362, 52486, 50803, 64584, 52401, 50893, 55794, 55059, 58073, 50364, 53102, 51459, 52794, 50450, 53222, 50365, 51597, 54384, 52516, 53696, 50837, 51205, 51060, 54306, 51060, 55794, 50802, 52145, 59923, 53222, 51269, 56370, 58586, 50362, 52486, 50803, 55537, 60343, 58073, 70069, 50363, 51459, 52794, 50799, 53222, 61530, 51594, 54701, 67853, 50907, 71110, 54306, 50806, 60516, 51447, 72190, 52147, 51921, 58156, 53222, 59251, 52273, 61988, 50362, 52486, 72356, 50365, 52073, 52794, 50426, 58073, 75382, 54384, 52516, 53696, 50837, 51205, 50893, 54306, 50893, 51999, 72605, 53222, 61530, 73242, 61988, 50362, 52486, 50803 ]

[ 0, 713, 5175, 19834, 2214, 1575, 10, 20535, 2810, 6, 38668, 9590, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 3459, 8669, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 14899, 2365, 5466, 19, 10, 11602, 9, 1619, 9450, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 20902, 27841, 139, 20889, 9, 16041, 13410, 228, 2289, 6, 10930, 12335, 5, 163, 428, 406, 8, 230, 406, 40286, 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 ]

[ 50799, 50639, 53394, 64132, 51932, 50791, 50886, 51039, 51365, 51544, 54150, 53394, 51730, 51508, 51123, 53550, 51388, 52066, 50444, 53482, 52938, 55814, 54198, 74903, 51059, 52066, 51453, 51022, 50799, 52066, 51039, 51123, 51544, 54150, 54198, 51582, 56006, 53900, 59702, 51354, 52066, 51180, 56881, 54198, 54523, 51138, 52066, 51453, 50912, 50799, 53394, 62288, 51932, 52066, 51039, 51123, 51544, 54150, 53394, 51730, 55589, 50984, 53550, 51483, 52066, 51180, 56881, 52066, 50456, 53482, 56902, 70817, 50912, 50799, 51287, 50797, 53023, 53482, 51373, 70236, 53633, 53834, 50976, 52066, 51361, 58604, 54198, 56780, 51505, 52470, 56960, 54105, 52066, 51892, 50456, 53482, 52411, 51864, 51022, 50799, 53394, 64132, 56351, 50886, 51039, 51365, 51544, 54150, 53394, 51730, 55043, 51123, 53550, 51388, 52066, 50444, 53482, 52938, 55814, 54198, 74903, 51407, 52066, 51453, 51022, 50799, 52066, 51039, 51123, 51544, 54150, 54198, 51582, 56006, 53900, 59702, 51354, 52066, 51180, 56881, 54198, 54523, 51030, 52066, 51453, 50912, 50799, 53394, 62288, 51072, 51287, 50797, 61072, 51365, 51544, 54150, 53394, 57468, 57036, 51123, 53550, 51483, 52470, 56960, 50886, 52320, 51589, 54622, 53482, 67570, 51054, 53978, 50799, 51842, 50420, 54664, 51582, 57252, 53633, 54523, 51379, 74055, 54664, 51373, 56006, 54198, 56780, 51505, 52066, 50444, 54664, 52938, 56881, 50798, 51045, 51248, 63467, 54178, 53482, 52675, 50912, 50799, 53394, 51157, 50741, 50343, 53236, 60396, 55394, 50741, 50340, 53330, 70236, 50741, 50345, 51030, 74055, 53394, 50800, 50741, 50340, 59083, 55589, 58604, 50741, 50347, 57361, 51388, 52066, 50444, 53482, 50833, 50741, 50340, 51049, 55814, 54198, 51336, 50741, 50340, 50942, 52531, 50406, 52066, 50456, 50741, 50338, 50940, 53978, 50799, 50741, 50338, 50933, 52066, 50420, 50741, 50338, 55744, 57252, 50741, 50343, 51138, 74055, 54198, 50808, 50741, 50338, 57837, 56006, 53900, 51112, 50741, 50345, 55404, 51354, 52066, 50444, 50741, 50340, 51049, 56881, 54198, 50879, 50741, 50340, 57277, 51045, 52066, 50456, 50741, 50340, 52744, 50912, 50799, 53394, 51191, 50741, 50343, 52466, 51735, 52066, 50420, 50741, 50340, 55690, 57252, 50741, 50345, 50948, 74055, 53394, 50800, 50741, 50340, 57277, 55968, 56006, 50741, 50347, 56764, 51483, 52066, 50444, 50741, 50340, 52744, 56881, 50741, 50340, 50977, 52066, 50456, 53482, 51048, 50741, 50338, 58396, 78487, 50912, 50799, 50741, 50338, 51051, 51287, 50797, 53023, 54664, 50808, 50741, 50338, 55744, 70236, 53633, 50849, 50741, 50343, 53236, 51505, 74055, 50741, 50338, 61098, 58604, 54198, 50948, 50741, 50345, 56155, 51505, 79025, 50741, 50340, 55220, 54105, 50741, 50340, 50878, 52066, 51892, 50456, 53482, 50840, 50741, 50340, 53071, 52374, 51022, 50799, 53394, 51157, 50741, 50343, 58642, 65036, 55394, 50741, 50340, 55966, 70236, 50741, 50345, 51030, 74055, 53394, 50800, 50741, 50340, 59083, 55043, 58604, 50741, 50345, 50835, 50741, 50347, 58971, 51388, 52066, 50444, 53482, 50833, 50741, 50340, 50897, 53978, 50450, 54198, 51336, 50741, 50340, 57564, 51009, 52066, 50456, 50741, 50338, 52744, 51022, 50799, 50741, 50338, 50878, 52066, 50420, 50741, 50338, 53710, 57252, 50741, 50343, 50860, 74055, 54198, 50808, 50741, 50338, 56522, 56006, 53900, 51112, 50741, 50345, 55404, 51354, 52066, 50444, 50741, 50340, 51508, 56881, 54198, 50879, 50741, 50340, 56411, 51012, 52066, 50456, 50741, 50340, 52744, 50912, 50799, 53394, 51191, 50741, 50343, 53236, 57819, 51750, 52944, 50741, 50340, 54260, 70236, 50741, 50345, 50936, 74055, 53394, 50924, 50741, 50340, 56411, 55589, 58604, 50741, 50345, 50829, 50741, 50347, 57361, 51483, 79025, 50741, 50340, 55220, 54105, 50741, 50340, 57837, 51589, 54622, 53482, 51345, 50741, 50338, 53238, 51021, 53978, 50799, 50741, 50338, 50959, 51842, 50420, 54664, 50808, 50741, 50338, 57277, 52374, 57252, 53633, 50879, 50741, 50343, 53236, 50860, 74055, 54664, 50810, 50741, 50338, 57837, 56006, 54198, 50948, 50741, 50345, 54416, 50923, 52066, 50444, 54664, 50833, 50741, 50340, 50830, 52352, 58290, 77572, 51456, 54411, 50741, 50340, 58063, 50976, 51248, 63467, 55273, 53482, 50810, 50741, 50340, 54196, 50912, 50799, 53564, 51161, 52681, 51226, 52449, 51541, 53394, 51073, 50741, 50343, 53236, 51072, 52029, 52526, 68360, 50741, 50340, 53330, 70236, 50741, 50345, 51030, 74055, 52822, 51241, 52239, 51090, 52681, 51541, 53394, 50859, 50741, 50340, 59083, 55589, 58604, 50741, 50347, 57361, 51388, 52066, 50444, 53482, 50833, 50741, 50340, 51049, 55814, 54802, 52382, 53009, 52208, 52269, 51469, 54198, 51336, 50741, 50340, 50942, 52531, 50406, 52066, 50456, 50741, 50338, 50940, 53978, 50799, 50741, 50338, 50933, 52066, 50420, 50741, 50338, 55744, 57252, 50741, 50343, 51138, 74055, 54198, 50808, 50741, 50338, 57837, 56006, 53900, 51112, 50741, 50345, 55404, 51354, 52066, 50444, 50741, 50340, 51049, 56881, 54198, 50879, 50741, 50340, 57277, 51045, 52066, 50456, 50741, 50340, 52744, 50912, 50799, 52822, 51295, 52239, 51573, 52681, 51573, 53394, 50807, 50741, 50343, 52466, 51735, 52066, 50420, 50741, 50340, 55690, 57252, 50741, 50345, 50948, 74055, 57600, 51336, 53564, 51496, 52239, 52195, 53394, 51291, 50741, 50340, 57277, 55968, 56006, 50741, 50347, 56764, 51483, 52066, 50444, 50741, 50340, 52744, 56881, 50741, 50340, 50977, 52066, 50456, 53427, 51605, 52822, 51894, 52495, 52017, 53482, 51048, 50741, 50338, 58396, 78487, 50912, 50799, 50741, 50338, 62706, 51750, 52944, 54664, 50851, 50741, 50338, 55744, 70236, 53633, 50917, 50741, 50343, 53236, 51505, 74055, 54664, 50833, 50741, 50338, 61098, 58604, 54198, 50795, 50741, 50345, 56155, 51505, 79025, 54664, 50844, 50741, 50340, 55220, 54105, 54330, 50897, 50741, 50340, 50878, 52066, 51892, 50456, 54664, 50810, 50741, 50340, 53071, 52374, 51022, 50799, 53564, 51933, 52681, 51237, 52449, 51054, 53394, 50889, 50741, 50343, 58642, 65036, 55394, 50741, 50340, 55966, 70236, 50741, 50345, 51030, 74055, 52822, 51351, 52239, 51016, 52681, 51226, 53394, 50812, 50741, 50340, 59083, 55043, 58604, 50741, 50345, 50835, 50741, 50347, 58971, 51388, 52066, 50444, 53482, 50836, 50741, 50340, 50897, 53978, 50450, 54802, 51161, 53009, 52311, 52269, 51977, 53900, 51356, 50741, 50340, 57564, 51009, 52066, 50456, 50741, 50338, 52744, 51022, 50799, 50741, 50338, 52854, 55394, 50741, 50338, 53710, 70236, 50741, 50343, 50860, 74055, 53900, 50813, 50741, 50338, 56522, 58604, 53427, 50987, 52495, 50830, 53009, 51138, 54198, 51173, 50741, 50345, 55404, 51354, 52066, 50444, 50741, 50340, 51508, 55814, 54802, 51111, 53009, 50823, 52269, 51033, 54330, 51100, 50741, 50340, 56411, 51012, 52066, 50456, 50741, 50340, 52744, 51022, 50799, 52822, 51351, 52239, 50896, 52681, 52195, 53394, 51013, 50741, 50343, 53236, 50980, 51287, 50797, 53023, 50741, 50340, 54260, 70236, 50741, 50345, 50936, 74055, 52822, 51417, 53564, 51226, 52239, 51294, 53394, 51091, 50741, 50340, 56411, 55589, 58604, 50741, 50345, 50829, 50741, 50347, 57361, 51483, 79025, 50741, 50340, 55220, 54105, 50741, 50340, 57837, 51589, 54622, 52495, 51469, 52239, 52017, 52681, 52017, 52269, 51469, 53482, 51048, 50741, 50338, 53238, 51021, 53978, 50799, 50741, 50338, 50959, 51842, 50420, 54664, 50812, 50741, 50338, 57277, 52374, 60789, 50578, 52968 ]

[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 42, 15229, 7630, 6568, 10, 1472, 9, 26545, 326, 25963, 19, 15073, 8, 11926, 4, 8504, 11, 10, 231, 73, 398, 86, 6543, 8, 1375, 23, 10, 38451, 3938, 20889, 6, 24, 1575, 10, 6755, 12547, 6, 17691, 28430, 6, 2342, 4467, 6, 30062, 620, 7085, 12280, 642, 6, 8, 15679, 642, 1543, 4, 20, 46336, 5252, 16, 17407, 30, 5, 40286, 274, 119, 6, 230, 119, 6, 8, 272, 406, 6, 70, 24826, 198, 5, 762, 9, 230, 3694, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50629, 50474, 55008, 51330, 50697, 50280, 51466, 59861, 51330, 51540, 68644, 51309, 52714, 51309, 74008, 52056, 56456, 51738, 50438, 52926, 60779, 52714, 51642, 74008, 51333, 56456, 51333, 50451, 55008, 51642, 50474, 55008, 51333, 50697, 50280, 52618, 59861, 52011, 51540, 68644, 51309, 52714, 51309, 74008, 51466, 56456, 65461, 52926, 58959, 55008, 51309, 52714, 51309, 74008, 51466, 56456, 51333, 50474, 55008, 51333, 50697, 50280, 52397, 59861, 52011, 51540, 68644, 51642, 52714, 51642, 56456, 51333, 74008, 51738, 50438, 52278, 67303, 55008, 51939, 52926, 51097, 74008, 52011, 56456, 52011, 50462, 52278, 50932, 50474, 52714, 51108, 74008, 51466, 56456, 51466, 51540, 55008, 51309, 54246, 51423, 50697, 50280, 51330, 59861, 65184, 52714, 67303, 54246, 51277, 52278, 51277, 50697, 50280, 51330, 59861, 51330, 50474, 55008, 51108, 50697, 50280, 52397, 59861, 52011, 51540, 68644, 51328, 52714, 51328, 74008, 51333, 56456, 65461, 52926, 58959, 55008, 51328, 52714, 51242, 74008, 52011, 56456, 51466, 50474, 55008, 50932, 50697, 50280, 52011, 59861, 51466, 51540, 68644, 51242, 52714, 51328, 74008, 51333, 56456, 65461, 52926, 54980, 55008, 51242, 52714, 51242, 74008, 51333, 56456, 51333, 50474, 52714, 50932, 51540, 52926, 51177, 51784, 51242, 74008, 51333, 56456, 65184, 52926, 51380, 51784, 54980, 52926, 50915, 51784, 51097, 74008, 51709, 56456, 51709, 50462, 52186, 50995, 52278, 50995, 50474, 52714, 50981, 52926, 50981, 74008, 52011, 56456, 51330, 51540, 54246, 51312, 52278, 51109, 50697, 50280, 51108, 59861, 61417, 52926, 51097, 50697, 50280, 52011, 59861, 52397, 52560, 52397, 50450, 68644, 51212, 52714, 51212, 74008, 51108, 56456, 51108, 52324, 51097, 50474, 51752, 50932, 55008, 51097, 50697, 50280, 52397, 59861, 52011, 52560, 52011, 51540, 53320, 51242, 51606, 51212, 68644, 51212, 52714, 51212, 51154, 52826, 74008, 51333, 56456, 51330, 52324, 61417, 52251, 50932, 52926, 59124, 51752, 51242, 51606, 51242, 55008, 51212, 52714, 51101, 74008, 51330, 56456, 51108, 52324, 51333, 50474, 51752, 50995, 55008, 50995, 50697, 50280, 51466, 59861, 51108, 52560, 51333, 51540, 53320, 51212, 51606, 51212, 68644, 51101, 52714, 51101, 51154, 52826, 74008, 50981, 56456, 50981, 52324, 54498, 52251, 50981, 52926, 55247, 51752, 51328, 51606, 51101, 55008, 51242, 52714, 51177, 74008, 51108, 56456, 51097, 52324, 51108, 50474, 51752, 50932, 55008, 51097, 50697, 50280, 51330, 59861, 51330, 52560, 52011, 51540, 53320, 51177, 51606, 51101, 68644, 51177, 52714, 51177, 51154, 53478, 74008, 50981, 56456, 51253, 52324, 59612, 51565, 50932, 52278, 59124, 51752, 51677, 52251, 51003, 55008, 51422, 52926, 50943, 74008, 51330, 56456, 51330, 52324, 51466, 50462, 51565, 51097, 52278, 50995, 50474, 51606, 51097, 52714, 51097, 74008, 50995, 56456, 51097, 52324, 51108, 51540, 51752, 51212, 51789, 51177, 55008, 51101, 54246, 51121, 51301, 53413, 50697, 50280, 50981, 59861, 50981, 52560, 57937, 51606, 51097, 52714, 54980, 51752, 51101, 51565, 51101, 55008, 51101, 52278, 51101, 50697, 50280, 50932, 59861, 51097, 52560, 51108, 50474, 51752, 51097, 55008, 50995, 50697, 50280, 51097, 59861, 50981, 52560, 51097, 51540, 53320, 51101, 51606, 51101, 68644, 51177, 52714, 51177, 51154, 53413, 74008, 50915, 56456, 51003, 52324, 56692, 52251, 50995, 52926, 55247, 51752, 51101, 51606, 51101, 55008, 51101, 52714, 51121, 74008, 50995, 56456, 50995, 52324, 50932, 50474, 51752, 51097, 55008, 50995, 51088, 50932, 50697, 50280, 51108, 59861, 50995, 52560, 50932, 51540, 53320, 51177, 51606, 51101, 68644, 51121, 52714, 51177, 51375, 52919, 74008, 50981, 56456, 50915, 52324, 51097, 50415, 51154, 53082, 50438, 52251, 50981, 52926, 55247, 51752, 51101, 51606, 51177, 55008, 51177, 52714, 51121, 74008, 50915, 56456, 50995, 52324, 50932, 50474, 51606, 51003, 52714, 51003, 51165, 51330, 51540, 52251, 51111, 51673, 51101, 52926, 51060, 51784, 51121, 51375, 53082, 51154, 53082, 74008, 50915, 56456, 50943, 52324, 54975, 52251, 50981, 51673, 51380, 52926, 50915, 51784, 70955, 52251, 50914, 51673, 50915, 52926, 50889, 51784, 50943, 74008, 51108, 56456, 50932, 52324, 51330, 50462, 51565, 50995, 51827, 50995, 52278, 50981, 52186, 50981, 50474, 51606, 50915, 52251, 50943, 52714, 50943, 52926, 50943, 74008, 50932, 56456, 50981, 52324, 50932, 50485, 51301, 51692, 51165, 51714, 51540, 51789, 51177, 51565, 51121, 54246, 51121, 52278, 51100, 50697, 50280, 51003, 59861, 50943, 52560, 54975, 52251, 50995, 52926, 51003, 50697, 50280, 50932, 59861, 50932, 52560, 61637, 53320, 51212, 51606, 51212, 68644, 51111, 52714, 51100, 51154, 51486, 51375, 51486, 74008, 50914, 56456, 50807, 52324, 50943, 50474, 51606, 50943, 52714, 51003, 74008, 50915, 56456, 50914, 52324, 50915, 51540, 51827, 51111, 52604, 51060, 52186, 51060, 52549, 51060, 51154, 52903, 51165, 52045, 62796, 50889, 56265, 50807, 52913, 56389, 51827, 50995, 52604, 51253, 52186, 50995, 52549, 70955, 51827, 50943, 52604, 50914, 52186, 50889, 52549, 50889, 62796, 50915, 56265, 50915, 52913, 50995, 50462, 52251, 50943, 51673, 51097, 52926, 50914, 51784, 50995, 50474, 51565, 50915, 51827, 50981, 52278, 51003, 52186, 50915, 62796, 51003, 56265, 51003, 52913, 50981, 51540, 52251, 51111, 51673, 51177, 52926, 51060, 51784, 51121, 51375, 52045, 51154, 52903, 74008, 50914, 56456, 50889, 52324, 56389, 52251, 50943, 51673, 50995, 52926, 50914, 51784, 57105, 52251, 50914, 51673, 51003, 52926, 50807, 51784, 50943, 74008, 50981, 56456, 50915, 52324, 50995, 50462, 51565, 50915, 51827, 50981, 52278, 51003, 52186, 71207, 51606, 50981, 52251, 50915, 52714, 51003, 52926, 51003, 74008, 51003, 56456, 50914, 52324, 51003, 50485, 51301, 53454, 51165, 52903, 51540, 51565, 51100, 51827, 51121, 52278, 51060, 52186, 51100, 50697, 50280, 50914, 59861, 50914, 52560, 54975, 51565, 50995, 51827, 51097, 52278, 50981, 52186, 57991, 51565, 51003, 51827, 50915, 52278, 50914, 52186, 51003, 50697, 50280, 50981, 59861, 50915, 52560, 51097, 50462, 51606, 51333, 52251, 50995, 52714, 51330, 52926, 71207, 51789, 50915, 51565, 51003, 54246, 50943, 52278, 50943, 50697, 50280, 51003, 59861, 51003, 52560, 50981, 51540, 51606, 51110, 52251, 51110, 52714, 51110, 52926, 51215, 51154, 53090, 51375, 52045, 74008, 50889, 56456, 50807, 52324, 56389, 51565, 50981, 51827, 50981, 52278, 50981, 52186, 54980, 52251, 51178, 51673, 51178, 52926, 50967, 51784, 51178, 74008, 50914, 56456, 50889, 52324, 50943, 50474, 51606, 51003, 52714, 50943, 74008, 51003, 56456, 50889, 52324, 51003, 51540, 51827, 51121, 52604, 51110, 52186, 51111, 52549, 51095, 51154, 53090, 51165, 54300, 62796, 50889, 56265, 50807, 52913, 56389, 52604, 50981, 51827, 50981, 52549, 50995, 52186, 55247, 51827, 50943, 52604, 51003, 52186, 50914, 52549, 50943, 62796, 51003, 56265, 51003, 52913, 50981, 50462, 52251, 50915, 51673, 51097, 52926, 51003, 51784, 50995, 50474, 51565, 50915, 51827, 50995, 52278, 51003, 52186, 50981, 62796, 50943, 56265, 50943, 52913, 50915, 51540, 52251, 51110, 51673, 51043, 52926, 51095, 51784, 51178, 51154, 52045, 51375, 54484, 74008, 50889, 56456, 50807, 52324, 55965, 52251, 50943, 51673, 51097, 52926, 50914, 51784, 57991, 52251, 50889, 51673, 51003, 52926, 50807, 51784, 50943, 74008, 51003, 56456, 50943, 52324, 50981, 50462, 51565, 50981 ]

[ 0, 250, 765, 5175, 2214, 19, 10, 2842, 9, 25771, 6, 4246, 10, 15352, 30054, 38668, 483, 7513, 30, 10, 3366, 219, 38668, 11212, 6, 10, 15054, 17838, 6, 8, 41, 3459, 9590, 4, 8504, 11, 5, 762, 9, 274, 3694, 19, 10, 1769, 20889, 6, 24, 6670, 41, 20425, 648, 19448, 5466, 6, 7630, 14805, 10, 5679, 26709, 8, 3366, 219, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51096, 53504, 51096, 51835, 58389, 50800, 61891, 52296, 73834, 52237, 51620, 58389, 50800, 61626, 52765, 73834, 52576, 51628, 73834, 58389, 50800, 59449, 51724, 73834, 58389, 50800, 56737, 52831, 51096, 52513, 73834, 58389, 50800, 61891, 50800, 52237, 52809, 73834, 58389, 50800, 61626, 50800, 52576, 51754, 51096, 52567, 58389, 50800, 59449, 50800, 53596, 53504, 73834, 58389, 50800, 56737, 52296, 73834, 52237, 51620, 58389, 50800, 61891, 52765, 73834, 52576, 51628, 73834, 58389, 50800, 61626, 51724, 73834, 58389, 50800, 59449, 52831, 51096, 51820, 58389, 50800, 60849, 52513, 73834, 52237, 52809, 73834, 58389, 50800, 61891, 50800, 52576, 51754, 51096, 52567, 58389, 50800, 61626, 50800, 53596, 53504, 73834, 58389, 50800, 59449, 52296, 73834, 58389, 50800, 56737, 50800, 52237, 52765, 73834, 52576, 51628, 73834, 58389, 50800, 61891, 51724, 73834, 58389, 50800, 61626, 52831, 51096, 51820, 58389, 50800, 59449, 52513, 73834, 52237, 51757, 58389, 50800, 65255, 52809, 73834, 52576, 51754, 51096, 52567, 58389, 50800, 61891, 50800, 53596, 53504, 73834, 58389, 50800, 61626, 52296, 73834, 58389, 50800, 59449, 50800, 52237, 52765, 73834, 58389, 50800, 56737, 50800, 52576, 51628, 51096, 51724, 73834, 52479, 50800, 54097, 50800, 58389, 50800, 61891, 52831, 73834, 52479, 50800, 54097, 51820, 58389, 50800, 61626, 52513, 73834, 53112, 50800, 53015, 50800, 52237, 51757, 53112, 50800, 53015, 50800, 58389, 50800, 59449, 52809, 73834, 52576, 51754, 73834, 52479, 50800, 52479, 50800, 52696, 50800, 58389, 50800, 63743, 52567, 52479, 50800, 52696, 50800, 53596, 53504, 51096, 51835, 58389, 50800, 61891, 52296, 73834, 52237, 51620, 58389, 50800, 61626, 52765, 73834, 52576, 51628, 73834, 58389, 50800, 59449, 51724, 73834, 58389, 50800, 56737, 52831, 51096, 52513, 73834, 58389, 50800, 61891, 50800, 52237, 52809, 73834, 58389, 50800, 61626, 50800, 52576, 51754, 51096, 52567, 58389, 50800, 59449, 50800, 53596, 53504, 73834, 58389, 50800, 56737, 52296, 73834, 52237, 51620, 58389, 50800, 61891, 52765, 73834, 52576, 51628, 73834, 58389, 50800, 61626, 51724, 73834, 58389, 50800, 59449, 52831, 51096, 51820, 58389, 50800, 60849, 52513, 73834, 52237, 52809, 73834, 58389, 50800, 61891, 50800, 52576, 51754, 51096, 52567, 58389, 50800, 61626, 50800, 53596, 53504, 73834, 58389, 50800, 59449, 52296, 73834, 58389, 50800, 56737, 50800, 52237, 52765, 73834, 52576, 51628, 73834, 58389, 50800, 61891, 52262, 60187, 50800, 60187, 51724, 73834, 58389, 50800, 61626, 52831, 51096, 51820, 58389, 50800, 59449, 52513, 73834, 52237, 51757, 58389, 50800, 65255, 52809, 73834, 52576, 51754, 51096, 52567, 58389, 50800, 61891, 50800, 53596, 53504, 73834, 58389, 50800, 61626, 52296, 73834, 58389, 50800, 59449, 50800, 52237, 52765, 73834, 58389, 50800, 56737, 50800, 52576, 51628, 51096, 51724, 73834, 52479, 50800, 54097, 50800, 58389, 50800, 61891, 52831, 73834, 52479, 50800, 54097, 51820, 58389, 50800, 61626, 52513, 73834, 53112, 50800, 53015, 50800, 52237, 51757, 53112, 50800, 53015, 50800, 58389, 50800, 59449, 52809, 73834, 52576, 51754, 73834, 52479, 50800, 52479, 50800, 52696, 50800, 58389, 50800, 63743, 52567, 52479, 50800, 52696, 50800, 50799, 52693, 75361, 58389, 50800, 61891, 51620, 58389, 50800, 61626, 51628, 58389, 50800, 59449, 51724, 58389, 50800, 56737, 52513, 58389, 50800, 61891, 52809, 58389, 50800, 61626, 52567, 58389, 50800, 59449, 50800, 52177, 58389, 50800, 56737, 51620, 58389, 50800, 61891, 51628, 58389, 50800, 61626, 51724, 58389, 50800, 59449, 51820, 58389, 50800, 56737, 52809, 58389, 50800, 61891, 52567, 58389, 50800, 61626, 50800, 52177, 58389, 50800, 59449, 52296, 58389, 50800, 56737, 51628, 58389, 50800, 61891, 51724, 58389, 50800, 61626, 51820, 58389, 50800, 59449, 51757, 58389, 50800, 56737, 52567, 58389, 50800, 61891, 50800, 52177, 58389, 50800, 61626, 52296, 58389, 50800, 59449, 52765, 58389, 50800, 56737, 51724, 58389, 50800, 61891, 51820, 58389, 50800, 61626, 51757, 58389, 50800, 59449, 51754, 58389, 50800, 63743, 50800, 50799, 55080, 75361, 58389, 50800, 61891, 51620, 58389, 50800, 61626, 51628, 58389, 50800, 59449, 51724, 58389, 50800, 57751, 52513, 58389, 50800, 61891, 52809, 58389, 50800, 61626, 52567, 58389, 50800, 59449, 50800, 52177, 58389, 50800, 57751, 51620, 58389, 50800, 61891, 51628, 58389, 50800, 61626, 51724, 58389, 50800, 59449, 51820, 58389, 50800, 57751, 52809, 58389, 50800, 61891, 52567, 58389, 50800, 61626, 50800, 52177, 58389, 50800, 59449, 52296, 58389, 50800, 57751, 51628, 58389, 50800, 61891, 51724, 58389, 50800, 61626, 51820, 58389, 50800, 59449, 51757, 58389, 50800, 57751, 52567, 58389, 50800, 61891, 50800, 52177, 58389, 50800, 61626, 52296, 58389, 50800, 59449, 52765, 58389, 50800, 57751, 51724, 58389, 50800, 61891, 51820, 58389, 50800, 61626, 51757, 58389, 50800, 59449, 51754, 58389, 50800, 57751, 50800, 50799, 54165, 75361, 58389, 50800, 61891, 51620, 58389, 50800, 61626, 51628, 58389, 50800, 59449, 51724, 58389, 50800, 56737, 52513, 58389, 50800, 61891, 52809, 58389, 50800, 61626, 52567, 58389, 50800, 59449, 50800, 52177, 58389, 50800, 56737, 51620, 58389, 50800, 61891, 51628, 58389, 50800, 61626, 51724, 58389, 50800, 59449, 51820, 58389, 50800, 56737, 52809, 58389, 50800, 61891, 52567, 58389, 50800, 61626, 50800, 52177, 58389, 50800, 59449, 52296, 58389, 50800, 56737, 51628, 58389, 50800, 61891, 51724, 58389, 50800, 61626, 51820, 58389, 50800, 59449, 51757, 58389, 50800, 56737, 52567, 58389, 50800, 61891, 50800, 52177, 58389, 50800, 61626, 52296, 58389, 50800, 59449, 52765, 58389, 50800, 56737, 51724, 58389, 50800, 61891, 51820, 58389, 50800, 61626, 51757, 58389, 50800, 59449, 51754, 58389, 50800, 63743, 50800, 50799, 53953, 75361, 58389, 50800, 61891, 51620, 58389, 50800, 61626, 51628, 58389, 50800, 59449, 51724, 58389, 50800, 57751, 52513, 58389, 50800, 61891, 52809, 58389, 50800, 61626, 52567, 58389, 50800, 59449, 50800, 52177, 58389, 50800, 57751, 51620, 58389, 50800, 61891, 51628, 58389, 50800, 61626, 51724, 58389, 50800, 59449, 51820, 58389, 50800, 57751, 52809, 58389, 50800, 61891, 52567, 58389, 50800, 61626, 50800, 52177, 58389, 50800, 59449, 52296, 58389, 50800, 57751, 51628, 58389, 50800, 61891, 51724, 58389, 50800, 61626, 51820, 58389, 50800, 59449, 51757, 58389, 50800, 57751, 52567, 58389, 50800, 61891, 50800, 52177, 58389, 50800, 61626, 52296, 58389, 50800, 59449, 52765, 58389, 50800, 57751, 51724, 58389, 50800, 61891, 51820, 58389, 50800, 61626, 51757, 58389, 50800, 59449, 51754, 58389, 50800, 57751, 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, 250, 8787, 5175, 15229, 19, 15855, 16882, 6, 42, 2125, 7630, 6568, 10, 5679, 26709, 8, 19448, 5466, 149, 63, 15352, 30054, 2301, 702, 30, 41, 21979, 8669, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 8, 6780, 10, 7212, 20889, 6, 24, 30853, 11, 41, 22438, 112, 73, 306, 86, 6543, 4, 20, 46336, 4811, 16, 1490, 2115, 5, 3222, 5785, 227, 5, 40286, 274, 406, 73, 250, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50624, 50423, 73711, 59400, 51549, 50821, 50799, 52562, 51285, 51207, 51285, 50415, 51246, 51285, 50416, 51136, 51285, 50929, 51274, 51549, 51274, 50435, 52562, 67066, 51207, 56360, 51246, 77291, 51136, 77561, 50929, 54989, 51064, 62888, 51549, 61951, 51563, 54411, 53019, 56277, 73837, 73837, 50799, 51846, 53466, 53729, 55246, 51846, 52877, 51131, 53794, 60738, 56277, 73573, 64752, 55099, 55046, 60848, 51549, 52247, 51563, 71832, 51438, 60958, 51549, 54459, 65611, 51246, 51196, 50441, 51549, 52597, 51438, 54787, 51563, 52610, 52866, 55982, 53019, 52935, 53729, 50936, 50460, 53019, 50880, 50799, 53019, 50880, 77389, 56767, 50416, 52866, 61134, 51563, 54658, 51438, 61135, 51549, 60743, 51067, 53939, 51032, 50921, 77389, 50428, 51064, 59965, 51169, 54053, 50929, 62887, 50970, 60958, 51136, 54459, 50960, 50936, 50442, 51136, 54989, 63852, 50448, 50929, 54411, 51169, 50917, 50454, 51064, 54647, 51032, 50936, 50460, 51064, 50880, 50799, 51064, 52247, 62318, 64252, 57566, 51169, 52322, 52562, 50806, 64252, 60494, 55046, 50459, 73711, 59400, 51549, 50821, 50799, 52562, 51285, 51207, 51285, 50415, 51246, 51285, 50416, 51136, 51285, 50929, 51274, 51549, 51274, 50435, 52562, 67066, 51207, 56360, 51246, 77291, 51136, 77561, 50929, 54989, 51064, 62888, 51549, 61951, 51563, 54411, 53019, 56277, 73837, 50799, 51846, 50917, 50418, 53805, 54658, 51725, 50849, 50424, 51292, 53939, 51438, 50917, 51725, 51486, 50430, 51563, 54053, 52866, 50917, 50436, 53568, 54459, 50621, 53729, 64480, 50623, 51438, 62888, 51563, 57099, 52866, 76520, 53568, 65372, 53729, 50921, 60938, 51274, 51246, 51196, 53729, 51226, 51136, 51196, 50430, 51438, 54053, 51563, 55246, 51549, 52877, 51067, 51274, 51246, 51196, 53729, 51226, 51064, 51196, 50454, 53019, 54647, 52866, 56277, 51438, 50821, 50799, 51549, 55419, 51246, 52247, 51207, 52309, 51246, 52322, 52562, 52692, 51246, 52610, 51207, 52931, 64252, 50799, 52562, 50806, 50929, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 51169, 60958, 50929, 53574, 52562, 50806, 51078, 55451, 51246, 52610, 59077, 56767, 50456, 64252, 60533, 50806, 51064, 72041, 51246, 52247, 51504, 57200, 51169, 52309, 60888, 51246, 55246, 51136, 52877, 62318, 50960, 52692, 51246, 52610, 51504, 52931, 64252, 60533, 50806, 51169, 70599, 51246, 52247, 51504, 52309, 51246, 55246, 51064, 60958, 51169, 53574, 62318, 50929, 55451, 51246, 52610, 66530, 51169, 57024, 64252, 50799, 52562, 50806, 51032, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 51064, 52877, 51064, 50883, 52562, 50806, 50929, 67114, 51246, 52610, 51207, 52931, 64252, 50799, 52562, 50806, 50929, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 50929, 52877, 62318, 50929, 65980, 51246, 52610, 51207, 52931, 51246, 56277, 59400, 50799, 53805, 50806, 50929, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 50929, 52877, 51064, 50936, 51725, 51196, 50442, 50986, 54989, 51846, 54787, 50986, 53153, 60888, 50452, 50929, 64848, 51169, 72727, 51064, 63357, 51032, 50812, 68892, 50936, 61446, 50418, 50947, 54658, 51136, 54007, 73633, 51032, 52309, 51067, 62268, 51549, 56360, 51549, 50936, 63965, 50442, 51064, 54989, 50929, 54787, 51136, 52848, 51549, 50936, 62867, 50454, 50947, 54647, 50929, 54863, 51136, 50812, 50799, 64252, 57566, 50415, 51064, 50936, 50416, 51067, 60647, 51131, 61135, 51246, 60892, 50986, 53425, 50960, 68748, 51136, 59225, 50970, 53695, 50929, 62268, 51169, 60958, 51064, 54459, 51032, 71771, 51067, 62505, 51549, 54989, 51438, 61998, 51563, 61951, 52866, 54411, 51438, 72480, 51067, 58215, 50623, 50454, 51064, 54647, 50622, 51169, 61765, 50998, 57521, 50621, 50460, 51078, 50836, 57128, 52562, 50806, 50929, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 51169, 60958, 50929, 53574, 52562, 50806, 51078, 55451, 51246, 52610, 59077, 56767, 50456, 64252, 60533, 50806, 51064, 72041, 51246, 52247, 51504, 57200, 51169, 52309, 60888, 51246, 55246, 51136, 52877, 62318, 50960, 52692, 51246, 52610, 51504, 52931, 64252, 60533, 50806, 51169, 70599, 51246, 52247, 51504, 52309, 51246, 55246, 51064, 60958, 51169, 53574, 51574, 50806, 50929, 55451, 51246, 52610, 66530, 51169, 57024, 64252, 60533, 50806, 51032, 70599, 51246, 52247, 51504, 52309, 51246, 55246, 50947, 60958, 51064, 53574, 52562, 50806, 50929, 55451, 51246, 52610, 51207, 52931, 64252, 50799, 52562, 50806, 50929, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 50929, 52877, 62318, 50929, 65980, 51246, 52610, 51207, 52931, 51246, 56277, 59400, 50799, 53805, 50806, 50929, 70599, 51246, 52247, 51207, 52309, 51246, 55246, 50929, 52877, 51064, 50936, 51725, 51196, 50442, 50986, 54989, 51846, 54787, 50986, 53153, 60888, 50452, 50929, 64848, 51169, 62516, 51064, 63357, 51032, 50812, 68892, 50936, 61446, 50418, 50947, 54658, 51136, 54007, 73633, 51032, 52309, 51067, 59890, 51549, 56057, 51549, 50936, 63965, 50442, 51064, 54989, 50929, 54787, 51136, 52848, 50622, 51032, 50936, 63965, 50454, 51064, 54647, 51169, 54863, 60888, 57448, 51136, 58718, 51246, 52774, 51207, 51274, 50423, 51246, 52247, 51136, 57200, 50929, 52686, 51064, 54125, 50929, 53470, 51136, 57419, 51246, 52692, 51207, 51274, 50447, 51246, 52610, 51136, 59908, 50929, 52935, 51064, 54421, 50929, 50812, 69683, 58718, 51246, 52774, 51207, 54901, 51246, 52247, 52562, 57200, 51207, 52309, 51246, 55246, 51136, 52877, 55046, 50441, 51064, 52692, 51549, 54787, 51067, 53153, 51032, 59908, 51064, 52935, 51169, 56277, 59400, 50799, 57566, 50417, 51246, 52774, 51444, 51274, 50423, 51246, 52247, 50970, 57200, 51169, 52686, 51064, 54125, 51169, 52841, 50970, 57419, 51246, 52692, 51444, 51274, 50447, 51246, 52610, 57566, 50453, 51169, 52935, 51064, 54421, 51169, 50812, 66474, 56191, 51246, 53113, 51444, 54901, 51246, 52422, 50970, 55104, 51169, 52686, 51064, 53660, 51032, 52877, 51067, 56050, 51549, 53247, 51438, 54787, 51563, 53153, 52866, 55982, 53019, 52935, 53729, 50936, 50460, 53019, 50880, 50799, 60494, 55046, 53019, 52774, 51207, 51274, 50423, 51246, 52247, 51136, 57200, 50929, 52686, 51064, 54125, 50929, 53470, 51136, 56050, 51246, 52692, 51207, 51274, 50447, 51246, 52610, 51136, 59908, 50929, 52935, 51064, 54421, 50929, 50812, 69683, 58718, 51246, 52774, 51207, 54901, 51246, 52247, 52562, 57200, 51207, 52309, 51246, 55246, 51136, 52877, 55046, 50441, 51064, 52692, 51549, 54787, 51067, 53153, 51032, 59908, 51064, 52935, 51169, 56277, 59400, 50799, 57566, 50417, 51246, 52774, 51444, 51274, 50423, 51246, 52422, 50970, 57850, 51169, 52686, 51064, 54125, 51169, 53470, 50970, 56050, 51246, 52692, 51444, 51274, 50447, 51246, 53153, 50970, 58215, 51169, 52935, 51064, 54421, 51169, 50812, 50799, 57566, 50417, 51246, 52774, 51444, 54901, 51246, 52247, 50970, 57200, 51169, 52686, 51064, 53660, 51032, 52877, 51067, 56050, 51549, 53247, 51438, 54787, 51563, 53153, 52866, 55982, 53019, 52935, 53729, 54863, 55543, 50821, 50799, 60494, 55046, 60738, 52774, 51207, 54007, 51246, 52422, 51136, 57200, 51246, 69055, 51207, 53660, 51246, 52877, 51846, 56358, 50986, 52692, 51136, 55967, 51846, 53153, 51131, 55982, 50986, 52931, 51136, 56277, 51846, 50821, 50799, 63965, 50417, 50960, 52774, 50970, 54901, 51064, 52422, 50947, 55104, 51064, 52749, 51032, 53660, 51064, 53470, 51067, 56050, 51032, 52597, 51549 ]

[ 0, 250, 32076, 8, 33558, 3495, 3152, 2214, 11, 381, 538, 6, 4246, 10, 11739, 9, 13305, 6, 21979, 8669, 6, 81, 9756, 8669, 6, 24896, 6, 8, 2382, 3459, 8669, 4, 590, 10, 20889, 9, 13950, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 15352, 30054, 2125, 7630, 6568, 10, 1472, 9, 11098, 8, 7125, 6, 442, 24, 10, 1969, 2564, 13, 5, 1619, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 53028, 50887, 51544, 50887, 53924, 60364, 51245, 58690, 51478, 58690, 51940, 58690, 50804, 51010, 55258, 51010, 53526, 51010, 51382, 51010, 55350, 51010, 54124, 51010, 62193, 68808, 52331, 50823, 52124, 51045, 51844, 51237, 66133, 55476, 50880, 55676, 65291, 68811, 52331, 50823, 52124, 60717, 52524, 74393, 51915, 50975, 52047, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 51957, 60717, 52781, 74393, 51726, 50823, 70860, 51374, 52512, 71617, 63674, 68811, 51726, 50823, 51815, 60717, 52800, 74393, 51990, 50975, 52473, 78519, 63728, 68811, 51726, 50823, 51815, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 51844, 51237, 71617, 65291, 68811, 52331, 50823, 52124, 60717, 52524, 74393, 51915, 50975, 52047, 51483, 51478, 51354, 50903, 71128, 62108, 68811, 52899, 50823, 54322, 51045, 52232, 51014, 51640, 60717, 52781, 74393, 51726, 50823, 70860, 51323, 51054, 51478, 51354, 51374, 51237, 71617, 63674, 68811, 51726, 50823, 70860, 52232, 51014, 50903, 52800, 74393, 51990, 50975, 52473, 51483, 51323, 51054, 51478, 51354, 51640, 51237, 50903, 71128, 63728, 68811, 51726, 50823, 70860, 51478, 51573, 50903, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 51844, 51745, 71617, 65291, 68811, 52331, 50823, 52124, 60717, 52524, 74393, 51915, 50975, 52047, 51483, 51746, 69702, 71128, 62108, 68811, 52899, 50823, 54322, 51045, 51957, 60717, 52781, 74393, 51726, 50823, 70860, 51404, 55198, 51323, 55198, 51374, 51761, 71617, 63674, 68811, 51726, 50823, 51815, 60717, 52800, 74393, 51990, 50975, 52473, 78519, 63728, 68811, 51726, 50823, 51815, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 51844, 51237, 71617, 65291, 68811, 52331, 50823, 52124, 60717, 52524, 74393, 51915, 50975, 52047, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 51640, 60717, 52781, 74393, 51726, 50823, 70860, 51374, 51012, 71617, 63674, 68811, 51726, 50823, 70860, 51374, 60717, 52800, 74393, 51990, 50975, 52473, 51483, 51640, 69918, 71128, 63728, 68811, 51726, 50823, 70860, 51374, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 51844, 51745, 71617, 65291, 68811, 52331, 50823, 52124, 51045, 54992, 60717, 52524, 74393, 51915, 50975, 52047, 51483, 54992, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 54992, 51045, 51640, 60717, 52781, 74393, 51726, 50823, 70860, 56806, 51483, 51374, 52512, 71617, 63674, 68811, 51726, 50823, 70860, 53274, 60717, 52800, 74393, 51990, 50975, 52473, 51483, 53274, 78519, 63728, 68811, 51726, 50823, 70860, 56806, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 54992, 51045, 51349, 51745, 71617, 69736, 54992, 51045, 50422, 68811, 52331, 50823, 52124, 51045, 54992, 60717, 52524, 74393, 51915, 50975, 52047, 51483, 54992, 69918, 71128, 54937, 56806, 51010, 50434, 68811, 52899, 50823, 54322, 51045, 53274, 51012, 51640, 60717, 52781, 74393, 51726, 50823, 70860, 51374, 52512, 71617, 63674, 68811, 51726, 50823, 70860, 53274, 60717, 52800, 74393, 51990, 50975, 52473, 51483, 56806, 78519, 63728, 68811, 51726, 50823, 70860, 53274, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 54992, 51483, 51349, 51745, 71617, 65291, 68811, 52331, 50823, 52124, 51045, 54992, 51237, 50903, 52524, 74393, 51915, 50975, 52047, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 56806, 51010, 51640, 60717, 58853, 53274, 63982, 74393, 51726, 50823, 70860, 51374, 52512, 71617, 63674, 68811, 51726, 50823, 51815, 60717, 52800, 74393, 51990, 50975, 52473, 51483, 56806, 78519, 63728, 68811, 51726, 50823, 70860, 53274, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 54992, 51483, 51349, 51745, 71617, 65291, 68811, 52331, 50823, 52124, 51045, 54992, 51237, 50903, 52524, 74393, 51915, 50975, 52047, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 56806, 51010, 51640, 60717, 58853, 53274, 51483, 50438, 74393, 51726, 50823, 70860, 51374, 51483, 71617, 63674, 68811, 51726, 50823, 70860, 51844, 60717, 52800, 74393, 51990, 50975, 52473, 51483, 51857, 78519, 63728, 68811, 51726, 50823, 70860, 54992, 51045, 51957, 60717, 50813, 58282, 59998, 60874, 65687, 62401, 51482, 50823, 51763, 51045, 56806, 51483, 51181, 51761, 71617, 65291, 51171, 63764, 71767, 50944, 51045, 61909, 51482, 50823, 51763, 60717, 52524, 51171, 59998, 60874, 65687, 62401, 51425, 50975, 51616, 51483, 56806, 51237, 50903, 71128, 62108, 51171, 63764, 71767, 50944, 51045, 61909, 51990, 50823, 52473, 51045, 51181, 60717, 52781, 51171, 59998, 60874, 65687, 62401, 51265, 50823, 51282, 51045, 56806, 51483, 51349, 52512, 71617, 63674, 51171, 63764, 71767, 50944, 51045, 61909, 51265, 50823, 51282, 51045, 56806, 60717, 52800, 51171, 59998, 60874, 65687, 62401, 51545, 50975, 51595, 51483, 56806, 78519, 63728, 51171, 63764, 71767, 50944, 51045, 61909, 51265, 50823, 51282, 51045, 53274, 60717, 50813, 58282, 59998, 60874, 65687, 62401, 51482, 50823, 51763, 51045, 56806, 51237, 51181, 51745, 71617, 65291, 51171, 63764, 71767, 50944, 51045, 61909, 51482, 50823, 51763, 60717, 52524, 51171, 59998, 60874, 65687, 62401, 51425, 50975, 51616, 51483, 54992, 78519, 62108, 51171, 63764, 71767, 50944, 51045, 61909, 51990, 50823, 52473, 51045, 56806, 51045, 51181, 60717, 52781, 51171, 59998, 60874, 65687, 62401, 51265, 50823, 51282, 51045, 54992, 51237, 51181, 51237, 71617, 63674, 51171, 63764, 71767, 50944, 51045, 61909, 51265, 50823, 51282, 60717, 52800, 51171, 59998, 60874, 65687, 62401, 51545, 50975, 51595, 51483, 62580, 51237, 51338, 51237, 50903, 71128, 63728, 51171, 63764, 71767, 50944, 51045, 61909, 51265, 50823, 51282, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 54992, 51045, 51844, 51745, 71617, 69736, 56806, 57606, 53274, 51045, 50422, 68811, 52331, 50823, 52124, 60717, 52524, 74393, 51915, 50975, 52047, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 51844, 60717, 52781, 74393, 51726, 50823, 70860, 51374, 51745, 71617, 63674, 68811, 51726, 50823, 51815, 60717, 52800, 74393, 51990, 50975, 52473, 78519, 63728, 68811, 51726, 50823, 51815, 60717, 50813, 62193, 68808, 52331, 50823, 52124, 51045, 51844, 51745, 71617, 65291, 68811, 52331, 50823, 52124, 60717, 52524, 74393, 51915, 50975, 52047, 78519, 62108, 68811, 52899, 50823, 54322, 51045, 51338, 60717, 52781, 74393, 51726, 50823, 70860, 51957, 51483, 71617, 63674, 68811, 51726, 50823, 70860, 56806, 51045, 51374, 60717, 52800, 74393, 51990, 50975, 52473, 51483, 56806, 51237, 51640, 78519, 63728, 68811, 52899, 50823, 54322, 51045, 51957, 60717, 50813, 61281, 73335, 58512, 69288, 66812, 51012, 51726, 50823, 70860, 57198, 51012, 51374, 51761, 71617, 55777, 57198, 51745, 50422, 51217, 51045, 51042, 63450, 50992, 51045, 50935, 51045, 51726, 50823, 51815, 60717, 52524, 51217, 73335, 58512, 69288, 66812, 51012, 51368, 50975, 51401, 78519, 62108, 51217, 51045, 51042, 63450, 50992, 51045, 50935, 51045, 52007, 50823, 52159, 51045, 51957, 60717, 52781, 51217, 73335, 58512, 69288, 66812, 51012, 51545, 50823, 51595, 51045, 56806, 51012, 51857, 51761, 71617, 55489, 53274, 51012, 50446, 51217, 51045, 51042, 63450, 50992, 51045, 50935, 51045, 51545, 50823, 51595, 60717, 52800, 51217, 73335, 58512, 69288, 66812, 51012, 51729, 50975, 51495, 78519, 63728, 51217, 51045, 51042, 63450, 50992, 51045, 50935, 51045, 51545, 50823, 51595, 60717, 50813, 61281, 73335 ]

[ 0, 250, 251, 6, 2635, 12, 20764, 5175, 2125, 11, 230, 10431, 3694, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 6755, 12547, 6, 2382, 3459, 8669, 6, 21979, 8669, 6, 31391, 1672, 9590, 6, 8, 13305, 6, 2351, 10, 19448, 8, 5679, 26709, 5466, 19, 10, 12405, 1619, 16464, 6, 25, 5, 33215, 16739, 9, 163, 6, 274, 10431, 6, 8, 230, 10431, 119, 35315, 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 ]

[ 57528, 50799, 51512, 51454, 51429, 51454, 58001, 51009, 51232, 51103, 51281, 57944, 51512, 51363, 51429, 71895, 52040, 51775, 50438, 51512, 51097, 51429, 50981, 57279, 50918, 51561, 51148, 51341, 69562, 51512, 51645, 51429, 65817, 52040, 52034, 50799, 51512, 51627, 51429, 51749, 51232, 51047, 63716, 51127, 51281, 51655, 50420, 52040, 51637, 50438, 51512, 51079, 51429, 51481, 51232, 51381, 62610, 51310, 50444, 52040, 58068, 52040, 53938, 51494, 50884, 51429, 50800, 51512, 70494, 51494, 57973, 51429, 51010, 51232, 60343, 62610, 50858, 50799, 60310, 51870, 51429, 51184, 51232, 51184, 51089, 51307, 50438, 62610, 50918, 52040, 51447, 50450, 51494, 50932, 70781, 51047, 58001, 52017, 51023, 64050, 51512, 51627, 51281, 51103, 54281, 51103, 58001, 51870, 51232, 51145, 51512, 51264, 51429, 51264, 51281, 53295, 50420, 55600, 55795, 55600, 53150, 55600, 57647, 55600, 53307, 55600, 51238, 55545, 51047, 57279, 51336, 50444, 55189, 53484, 54290, 55416, 52575, 52567, 55189, 50807, 57157, 51145, 63716, 50918, 50423, 54290, 51620, 52575, 50889, 57144, 51145, 62610, 51091, 50453, 52649, 54403, 52040, 50923, 51512, 50923, 51429, 50976, 56682, 51183, 51847, 51661, 51777, 52097, 52537, 51551, 51232, 63560, 53859, 52296, 52575, 52437, 52575, 51736, 53859, 53593, 52575, 50795, 77592, 51145, 54733, 51336, 52040, 51077, 51429, 51103, 50441, 53859, 73319, 55189, 55416, 52575, 53793, 54290, 50807, 51094, 50274, 51047, 56686, 51356, 51119, 51047, 51708, 52069, 51847, 53142, 50423, 52575, 52450, 53859, 51162, 51272, 50272, 51047, 51512, 51295, 58001, 51196, 50453, 51708, 51534, 50456, 51232, 50795, 59373, 52069, 53761, 50884, 52040, 51945, 52649, 52017, 51494, 76811, 53761, 52296, 53761, 54253, 53859, 51628, 53761, 51238, 50441, 53859, 54207, 53286, 54752, 52040, 65841, 51847, 50859, 59373, 51714, 51198, 51551, 52040, 52500, 52649, 52536, 50420, 55600, 55795, 55600, 53150, 55600, 57647, 55600, 53593, 55600, 71889, 51494, 51496, 50444, 53043, 50800, 51198, 77225, 53043, 50795, 51429, 55037, 51374, 50901, 55189, 50808, 58001, 50923, 52040, 50923, 51512, 66120, 53043, 50807, 55934, 51353, 51119, 51661, 56686, 51184, 51847, 52024, 50423, 55189, 51620, 54290, 69241, 51119, 51244, 50450, 54290, 52809, 55189, 52643, 53043, 52567, 55189, 50807, 54281, 52069, 58001, 52017, 51512, 51449, 50423, 54290, 51620, 52575, 51346, 50456, 51910, 73894, 51217, 51103, 54281, 51364, 58001, 51870, 51232, 51145, 51429, 54834, 51512, 52024, 54165, 52829, 50798, 50846, 51042, 50910, 50868, 51036, 50992, 68282, 55600, 50884, 51042, 51291, 50423, 55600, 50884, 50992, 51343, 50426, 55600, 61826, 52667, 51910, 50873, 55600, 53307, 55600, 51238, 55545, 50918, 57279, 74903, 50846, 51751, 51336, 50441, 51396, 51310, 50444, 55189, 50830, 51042, 51218, 50447, 50992, 51362, 50450, 54290, 59964, 52881, 52575, 52567, 55189, 50807, 57157, 51189, 63716, 54805, 50846, 52540, 51291, 50417, 51396, 51448, 50420, 51017, 51218, 50423, 54290, 63585, 51294, 50426, 52575, 60775, 52667, 51602, 50901, 57144, 51103, 62610, 58747, 50846, 51042, 73423, 51017, 53905, 51042, 51274, 57702, 55647, 52649, 54403, 52040, 50923, 51512, 50923, 51429, 50976, 56682, 51103, 51847, 51661, 51777, 52097, 52537, 51551, 51232, 51264, 52684, 74188, 53576, 53859, 52296, 52575, 52437, 52575, 52732, 52667, 52575, 53593, 52575, 50795, 77592, 51127, 54733, 51336, 52040, 51080, 51429, 51183, 54165, 56203, 55201, 53859, 51116, 51396, 51538, 50444, 51042, 64127, 50992, 51977, 50449, 54008, 59124, 55189, 59964, 50841, 51042, 72423, 52575, 53793, 54290, 50807, 51094, 50274, 51127, 56686, 51356, 51119, 51148, 51708, 52062, 51847, 53142, 52684, 74188, 54579, 52575, 52450, 53859, 51162, 71970, 51272, 50272, 51103, 51512, 51295, 58001, 51196, 54165, 72213, 53239, 50944, 61045, 51343, 50447, 50944, 51241, 57702, 72248, 58031, 51708, 51534, 50946, 66704, 51232, 53677, 50893, 50461, 53541, 51717, 52402, 51359, 52332, 52122, 59373, 51894, 53761, 50884, 52040, 51945, 52649, 52017, 51494, 51353, 53654, 52337, 50798, 55927, 53761, 52296, 53761, 51631, 50843, 55739, 53859, 51628, 53761, 51345, 57702, 52881, 52040, 65841, 51847, 62923, 51881, 51655, 51506, 51655, 59373, 51894, 51198, 51356, 52040, 52536, 52649, 52536, 50798, 50846, 51042, 52392, 50848, 52536, 50944, 52536, 50420, 55600, 55795, 55600, 53150, 55600, 61826, 52667, 55600, 53593, 55600, 71889, 51494, 51496, 50444, 53043, 50800, 51198, 77225, 53043, 50795, 51429, 55992, 60233, 54165, 62034, 51374, 50849, 55189, 50808, 58001, 50923, 52040, 50923, 51512, 54209, 54814, 53043, 50807, 50461, 51656, 51353, 55934, 51307, 53100, 51353, 51847, 51894, 51119, 52392, 56686, 51184, 52684, 60922, 54579, 55189, 51620, 54290, 51159, 50843, 54665, 51017, 73835, 50850, 51285, 50441, 50944, 51364, 50444, 51017, 51294, 50450, 54290, 52154, 55647, 55189, 52643, 79453, 51847, 50923, 63439, 50461, 54165, 51080, 54281, 51103, 55189, 50807, 52255, 51103, 52033, 51183, 52040, 50983, 51512, 51295, 58001, 51551, 50798, 78546, 51977, 50426, 52575, 52154, 55739, 54290, 51628, 55189, 50795, 51512, 51030, 52040, 51103, 59501, 51077, 54290, 50967, 52332, 51244, 51881, 51183, 51494, 51295, 56387, 50918, 53654, 51592, 50798, 50846, 55299, 50889, 51268, 51183, 50450, 52107, 52154, 55647, 52575, 51754, 54290, 50805, 52040, 50806, 51494, 50806, 50461, 51743, 51445, 53100, 51313, 57157, 51204, 52544, 50807, 51847, 52071, 63716, 51991, 51144, 51945, 50798, 50846, 53050, 51157, 51061, 52069, 50425, 53654, 55973, 51275, 55940, 50841, 55388, 73055, 51957, 54216, 51132, 54125, 51602, 60831, 52693, 51103, 62083, 51127, 51777, 70312, 50846, 62612, 55082, 50843, 52881, 54290, 50859, 51198, 50974, 51429, 50879, 55261, 51212, 51208, 51345, 50459, 55189, 50859, 55934, 51103, 53043, 50807, 52332, 51244, 51847, 51353, 51119, 51151, 53654, 52337, 52684, 67531, 50846, 53428, 50995, 51506, 51285, 51017, 52097, 50944, 52097, 50850, 51552, 51023, 78042, 55189, 51073, 71970, 54360, 51077, 54290, 50807, 52033, 74188, 50846, 51506, 51364, 51017, 51343, 50944, 51274, 50450, 52575, 52732, 52881, 54290, 51336, 50461, 53541, 51445, 51506, 51469, 55984, 51991, 51232, 51151, 51494, 51151, 51429, 52017, 54008, 67531, 50841, 51042, 52017, 50868, 52379, 50944, 51696, 50432, 51456, 72129, 56650, 51289, 68002, 50884, 51382, 53412, 57916, 61014, 52458, 50805, 55189, 50830, 51842, 50457, 51931, 50458, 51842, 60506, 59933, 55600, 50924, 53278, 51047, 54165, 51244, 50461, 51815, 51047, 54281, 51356, 53499, 51671, 52040, 51346, 51232, 51346, 51512, 51346, 53752, 60368, 62294, 50948, 50992, 65714, 50948, 51149, 50893, 51595, 51397, 51089, 51397, 51402, 74236, 50841, 59300, 71312, 62728, 77495, 52040, 51116, 51232, 51116, 51512, 51116, 56319, 64073, 50924, 50992, 50952, 50935, 50924, 51149, 50952, 51281, 50932, 51208, 50889, 76726, 55189, 50830, 52261, 50868, 75020, 67133, 50840, 51149, 50855, 51556, 50928, 57553, 51149, 50864, 50992, 62122, 63136, 55600, 51060, 53953, 51148, 53654, 53413, 57144, 51356, 52040, 51025, 51561, 51025, 51494, 51025, 53804, 50841, 78352, 50944, 50924, 68386, 54110, 51627, 52473, 51749, 51595, 51878, 51572, 74096, 50841, 78134, 50944, 50917, 68386, 51618, 53430, 52040, 51162, 51561, 51162, 51494, 51162, 56319, 50841, 50979, 50948, 50944, 65714 ]

[ 0, 250, 765, 6, 1769, 12, 20764, 5175, 8, 3495, 37903, 11, 274, 538, 6, 4246, 10, 13305, 816, 41, 20425, 8, 15352, 30054, 13931, 9, 1918, 6, 272, 6, 274, 6, 8, 272, 40286, 6, 7630, 14805, 10, 3344, 9, 11098, 8, 15073, 14, 115, 3235, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 51120, 50830, 51120, 50991, 50899, 50991, 71815, 79500, 51339, 61000, 51120, 50830, 50999, 51631, 51120, 50830, 51120, 56931, 55673, 56645, 65857, 51736, 51120, 50830, 50999, 51646, 51120, 54630, 51085, 50830, 50900, 54666, 55648, 65799, 67795, 52728, 51085, 50830, 50951, 51923, 51234, 50830, 51234, 51358, 50997, 51358, 50906, 51358, 50902, 51358, 51146, 51358, 54662, 50830, 50931, 52115, 51234, 53244, 51234, 54372, 51234, 53402, 51234, 54630, 51234, 53484, 51234, 54896, 51234, 50830, 54662, 50830, 51234, 50991, 50997, 50991, 50906, 50991, 71815, 51146, 61000, 51234, 50830, 50902, 51631, 51234, 50830, 51234, 64823, 56730, 55673, 67026, 51736, 51234, 50830, 50902, 51646, 51234, 54630, 51085, 50830, 51085, 58035, 54666, 55648, 65799, 51798, 51085, 50830, 50876, 51923, 51085, 50830, 51120, 51358, 50899, 51358, 50902, 51358, 50931, 51358, 51339, 51358, 54868, 50830, 50877, 52115, 51120, 53244, 51120, 54372, 51120, 53402, 51120, 54630, 51120, 53484, 51120, 54896, 51120, 50830, 54868, 50830, 51120, 50991, 50899, 50991, 71815, 79500, 51339, 61000, 51120, 50830, 50999, 51631, 51120, 50830, 51120, 56931, 55673, 56645, 65857, 51736, 51120, 50830, 50999, 51646, 51120, 54630, 51085, 50830, 51085, 58035, 54666, 55648, 65799, 51798, 51085, 50830, 50951, 51923, 51234, 50830, 51234, 51358, 50997, 51358, 50906, 51358, 50902, 51358, 51146, 51358, 54662, 50830, 50931, 52115, 51234, 53244, 51234, 54372, 51234, 53402, 51234, 54630, 51234, 53484, 51234, 54896, 51234, 50830, 54662, 50830, 51234, 50991, 50997, 50991, 50906, 50991, 71815, 51146, 61000, 51234, 50830, 50902, 51631, 51234, 50830, 51234, 64823, 56730, 55673, 67026, 51736, 51234, 50830, 50902, 51646, 51234, 54630, 51085, 50830, 51085, 58035, 54666, 55648, 65799, 51798, 51085, 50830, 50876, 51923, 51085, 50830, 51120, 51358, 50899, 51358, 50902, 51358, 50931, 51358, 51339, 51358, 54868, 50830, 50877, 52115, 51120, 53244, 51120, 54372, 51120, 53402, 51120, 54630, 51120, 53484, 51120, 54896, 51120, 50830, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 20902, 8, 15352, 30054, 3495, 11057, 24904, 2125, 6, 42, 765, 2214, 22750, 1626, 11098, 8, 1007, 4, 590, 10, 32909, 981, 5, 1427, 6, 24, 11498, 10, 23667, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 272, 10431, 3694, 4, 20, 33215, 16739, 9, 12608, 8, 2060, 119, 3639, 10, 2842, 9, 1619, 9450, 7, 5, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 63515, 50804, 52220, 50878, 55207, 50982, 53327, 50908, 51302, 55047, 50955, 54321, 52767, 50804, 50837, 52594, 50839, 51450, 54566, 52267, 50804, 50982, 52612, 53003, 50798, 60146, 50870, 53061, 53137, 50804, 50820, 52198, 50834, 55669, 52220, 50878, 55207, 50982, 53327, 50908, 51302, 55047, 50955, 54321, 52767, 50804, 50837, 52594, 50839, 51450, 54566, 52568, 50965, 51048, 58220, 56001, 60146, 52193, 50804, 50820, 52198, 50834, 57497, 50976, 50861, 53073, 56724, 52149, 50804, 52220, 50878, 55207, 50982, 53327, 52976, 53709, 50995, 53709, 50914, 52061, 50914, 51641, 51800, 50288, 57710, 55047, 50955, 54321, 52767, 50804, 50837, 52594, 52950, 53437, 51148, 51744, 51103, 52314, 51103, 53437, 51103, 51360, 55877, 54566, 52267, 50804, 50982, 52612, 53003, 51503, 54209, 60146, 50870, 53061, 53137, 50804, 50820, 52198, 50834, 57497, 57710, 52220, 50878, 55207, 50982, 53327, 52976, 53709, 50867, 53709, 50836, 52061, 50836, 51641, 51581, 50288, 57710, 55047, 50955, 54321, 58027, 53709, 50867, 53709, 50836, 52061, 50836, 51641, 53695, 50804, 58039, 53709, 50822, 53709, 50812, 52061, 50812, 51641, 50812, 52594, 52950, 53437, 51412, 53437, 51124, 51744, 51124, 52314, 51124, 51360, 51599, 54566, 52267, 50804, 50982, 52612, 53003, 53437, 50822, 53437, 50812, 51723, 50812, 52314, 50812, 51503, 55580, 60146, 50870, 53061, 59699, 52039, 50822, 52039, 50812, 52298, 50812, 51579, 52955, 50804, 56399, 52211, 50867, 52211, 50836, 51431, 50836, 52264, 50836, 52198, 50834, 50799, 51898, 51097, 52067, 50943, 51898, 52821, 52061, 52821, 51360, 57710, 52220, 50878, 55207, 50982, 53327, 52976, 51898, 50835, 52067, 50841, 51503, 57710, 55047, 50955, 50427, 51898, 50835, 52067, 65416, 51898, 50835, 52067, 55739, 51898, 50835, 52067, 54131, 58027, 51898, 50835, 52067, 59483, 51898, 50835, 52067, 52667, 51898, 50835, 52067, 54131, 58803, 51898, 50835, 52067, 58608, 51898, 50835, 52067, 54665, 51898, 50835, 52067, 54131, 60723, 51898, 50835, 52067, 58694, 51898, 50835, 52067, 53116, 51898, 50835, 52067, 50841, 51360, 55877, 54566, 57512, 51898, 50829, 52067, 62078, 51898, 50829, 52067, 54735, 51898, 50829, 52067, 59117, 51898, 50835, 52067, 61374, 51898, 50835, 52067, 53041, 51898, 50835, 52067, 54131, 71102, 51898, 50835, 52067, 59673, 51898, 50835, 52067, 54926, 51898, 50835, 52067, 54131, 60852, 51898, 50835, 52067, 59596, 51898, 50835, 52067, 53083, 51898, 50835, 52067, 50841, 51503, 54209, 60146, 65392, 51898, 50829, 52067, 61425, 51898, 50829, 52067, 54363, 51898, 50829, 52067, 54212, 59699, 51898, 50835, 52067, 60233, 51898, 50835, 52067, 52881, 51898, 50835, 52067, 54131, 57620, 51898, 50835, 52067, 58323, 51898, 50835, 52067, 54814, 51898, 50835, 52067, 54131, 59933, 51898, 50835, 52067, 58660, 51898, 50835, 52067, 50841, 50799, 51898, 50835, 52067, 50841, 51360, 57710, 52220, 50878, 50415, 51898, 50829, 52067, 65334, 51898, 50829, 52067, 55221, 51898, 50829, 52067, 59740, 51898, 50835, 52067, 63094, 51898, 50835, 52067, 53223, 51898, 50835, 52067, 54131, 72592, 51898, 50835, 52067, 60161, 51898, 50835, 52067, 54477, 51898, 50835, 52067, 54131, 73309, 51898, 50835, 52067, 59761, 51898, 50835, 52067, 52870, 51898, 50835, 52067, 50841, 51503, 57710, 55047, 50955, 50427, 51898, 50835, 52067, 65416, 51898, 50835, 52067, 55739, 51898, 50835, 52067, 54131, 58027, 51898, 50835, 52067, 59483, 51898, 50835, 52067, 52667, 51898, 50835, 52067, 54131, 58803, 51898, 50835, 52067, 58608, 51898, 50835, 52067, 54665, 51898, 50835, 52067, 54131, 60723, 51898, 50835, 52067, 58694, 51898, 50835, 52067, 53116, 51898, 51008, 51898, 50925, 52067, 50925, 51360, 51599, 54566, 52568, 51399, 54739, 59631, 51399, 50884, 57497, 51588, 50293, 57710, 52220, 71640, 51430, 51354, 50416, 51405, 59346, 51360, 54964, 51176, 51879, 50305, 68549, 66811, 54742, 50982, 53327, 52976, 51430, 51804, 50288, 51828, 50288, 57710, 55047, 50940, 54321, 58734, 51360, 52658, 51176, 51879, 50305, 64545, 70017, 54078, 58039, 51430, 50858, 52594, 52950, 51399, 50846, 51360, 51828, 50293, 55877, 53661, 58772, 51360, 54682, 51176, 51879, 50305, 68549, 66811, 51537, 50329, 63159, 50982, 52612, 53003, 51503, 52545, 50288, 54209, 56776, 50870, 53061, 59842, 51360, 52863, 51176, 51879, 50305, 64545, 70017, 51879, 50329, 55060, 50820, 52198, 50834, 57497, 51588, 50293, 50976, 51147, 51505, 50804, 52220, 78217, 51360, 54964, 51176, 51879, 50305, 68549, 66811, 54742, 50982, 53327, 73309, 51147, 54818, 51147, 52236, 50288, 51828, 50288, 57710, 55047, 50940, 54321, 58734, 51360, 52658, 51176, 51879, 50305, 64545, 70017, 51879, 50324, 55020, 50837, 52594, 52950, 51360, 51828, 50293, 51599, 53661, 57512, 51147, 60254, 51360, 54682, 51176, 51879, 50305, 68549, 66811, 50857, 64614, 50841, 52612, 53035, 51147, 52640, 50288, 52545, 50288, 55580, 56776, 57859, 51360, 52863, 51176, 51879, 50305, 64545, 70017, 51879, 50324, 50880, 65694, 50841, 52198, 50895, 55881, 51588, 50295, 57710, 52220, 71640, 51147, 50993, 50419, 51197, 54964, 51176, 77242, 75205, 66811, 54742, 50982, 53327, 73309, 51147, 57480, 51503, 51828, 50288, 57710, 55047, 50940, 54321, 58734, 51147, 50883, 51197, 52658, 51176, 77242, 72889, 70017, 54078, 58803, 51147, 51030, 52594, 52950, 51197, 51828, 50295, 55877, 53661, 58772, 51197, 50907, 51147, 51388, 50444, 51176, 77242, 75205, 66811, 54742, 50982, 52612, 53003, 51503, 52545, 50326, 52014, 50288, 54209, 56776, 50870, 53061, 59842, 51197, 52863, 51176, 77242, 72889, 70017, 79975, 54172, 50820, 52198, 50834, 57497, 51588, 50293, 50976, 51405, 69405, 52220, 78217, 51360, 54964, 51176, 51879, 50305, 68549, 66811, 51537, 50329, 56106, 50982, 53327, 52976, 51399, 50821, 51503, 51828, 50288, 57710, 55047, 50940, 54321, 58734, 51360, 52658, 51176, 51879, 50305, 64545, 70017, 54078, 58803, 51062, 56535, 51399, 69921, 52950, 51360, 51828, 50293, 55877, 53661, 58772, 51360, 54682, 51176, 51879, 50305, 68549, 66811, 50857, 64614, 50841, 52612, 53035, 51503, 52545, 50288, 54209, 56776, 57859, 51360, 52863, 51399, 50884, 51176, 51879, 50305, 64545, 70017, 50890, 65694, 50841, 52198, 50895, 57497, 51588, 50332, 52370, 50293, 57710, 52220, 78217, 51360, 54964, 51176, 51879, 50305, 68549, 66811, 54742, 58362, 51430, 54345, 52976, 51430, 51689, 50288, 51828, 50288, 57710, 55047, 50940, 54321, 58734, 51360, 52658, 51176, 51879, 50305, 64545, 70017, 54078, 58803, 51430, 51138, 52594, 52950, 51360, 51828, 50293, 55877, 53661, 57512, 51399, 69396, 51360, 54682, 51176, 51879, 50305, 68549, 66811, 54742, 71102, 51399, 51505, 52612, 53003, 51503, 52545, 50288, 54209, 56776, 50870, 53061, 59842, 51360, 52863, 51176, 51879, 50305, 64545, 70017, 51879, 50329, 54332, 50820, 52198, 50834, 57497, 51588, 50293, 50976, 51147, 57710, 52220, 78217, 51360, 54964, 51176, 51879, 50305, 68549, 66811, 54742, 58362, 51147, 53988, 63026, 51147, 53087, 51503, 51828, 50288, 57710, 55047, 50940, 54321, 58734, 51360, 52658, 51176, 51879, 50305, 64545, 70017, 51879, 50324, 55020, 50837, 52594, 52950, 51147, 50823, 51360, 51828, 50293, 51599, 53661, 58772, 51360, 54682, 51176, 51879, 50305, 68549, 66811, 50857, 64614, 50841, 52612, 53035, 51503, 52545, 50288, 55580, 56776, 57859, 51147, 50961, 51360, 52863, 51176, 51879, 50305, 64545, 70017, 50890 ]

[ 0, 250, 2635, 8, 2933, 15855, 2125, 4246, 10, 12280, 3275, 1725, 3109, 6, 278, 11, 5, 762, 9, 272, 3694, 19, 10, 132, 73, 176, 86, 6543, 4, 20, 40286, 272, 6, 163, 43531, 1176, 406, 6, 211, 119, 406, 6, 1918, 406, 6, 8, 163, 428, 32, 341, 11, 10, 881, 16739, 1328, 42, 765, 15229, 6, 2351, 10, 16487, 1943, 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 ]

[ 57128, 52049, 55834, 55411, 51736, 55061, 51646, 56495, 50795, 52049, 53218, 53571, 51798, 53029, 50795, 52049, 50807, 52443, 51923, 53571, 50800, 51975, 54093, 56495, 50800, 50799, 55061, 50807, 52292, 50918, 52044, 52115, 52895, 51631, 52342, 51736, 53571, 50807, 52895, 52262, 52044, 51724, 52049, 50807, 51975, 53218, 56495, 52513, 55061, 51757, 56495, 50807, 52049, 53312, 52895, 50807, 50799, 53571, 50983, 52292, 54994, 52044, 52296, 51975, 51620, 52044, 53182, 54769, 51646, 53029, 50807, 53334, 50918, 52895, 58624, 56495, 53312, 52205, 50795, 50799, 52292, 50918, 52342, 52910, 53571, 50807, 52044, 52424, 55411, 50983, 52049, 56811, 52895, 53312, 55061, 50795, 50799, 56495, 50795, 53334, 50918, 52443, 60055, 53571, 51631, 53029, 62715, 51975, 51646, 52292, 50807, 52044, 51918, 52895, 51798, 53571, 50807, 52292, 50807, 52342, 50918, 50799, 52550, 50807, 52049, 52910, 53029, 50807, 52049, 50807, 52895, 52424, 53029, 50795, 52573, 50918, 53640, 53218, 53249, 51798, 53296, 50918, 52342, 50983, 50799, 52550, 54994, 52205, 51631, 53249, 50807, 54073, 56039, 52573, 56811, 53296, 50807, 52205, 50807, 50799, 53249, 50795, 52292, 53561, 53029, 51631, 53249, 50795, 52292, 50807, 52662, 53182, 53296, 51646, 52550, 50807, 53334, 50918, 52205, 51918, 52342, 51798, 55411, 50807, 52205, 51923, 52662, 50795, 50799, 52573, 50918, 53640, 52910, 55061, 50918, 52443, 52424, 53334, 52728, 55411, 50795, 53334, 50807, 51975, 72423, 55411, 50795, 50799, 55061, 50807, 52573, 55834, 53029, 50807, 52443, 52424, 55411, 50918, 52550, 50807, 51975, 56811, 52550, 50807, 58106, 55411, 51036, 52550, 51036, 51975, 51036, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1619, 3495, 2214, 11, 211, 538, 6, 4246, 10, 15352, 30054, 11739, 9, 13305, 6, 2382, 3459, 8669, 6, 21979, 8669, 6, 21979, 9590, 6, 8, 13602, 6757, 4, 590, 10, 1769, 20889, 8, 10, 155, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 657, 8, 26545, 4, 20, 1049, 33215, 16739, 10726, 9, 272, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 67833, 51018, 67834, 51692, 51410, 53413, 51231, 53413, 51672, 53413, 54524, 51248, 52054, 74668, 51589, 52729, 50903, 62445, 56041, 50851, 51034, 51389, 51127, 51208, 50855, 51810, 52773, 51420, 50851, 75508, 52729, 51705, 51056, 50903, 62445, 56041, 50851, 67834, 51692, 51410, 53413, 51231, 53413, 51672, 53413, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 51034, 51389, 51127, 51208, 50855, 51810, 52773, 53497, 51373, 50851, 51768, 68594, 53924, 55707, 51705, 51056, 50903, 53119, 59280, 55258, 51022, 50446, 62493, 50907, 67834, 51422, 51410, 52821, 51231, 52821, 51672, 52821, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 51034, 51389, 51742, 51457, 50849, 51981, 51518, 51208, 50855, 51810, 52773, 51420, 54711, 51818, 51534, 51768, 68594, 50428, 51457, 51627, 59015, 51373, 58638, 51389, 53877, 50851, 67834, 51692, 51410, 53413, 51231, 53413, 51672, 53413, 79451, 75508, 52729, 57580, 50810, 56041, 50851, 51034, 78703, 51208, 50855, 51810, 52773, 53497, 57546, 53951, 55124, 51493, 51400, 50903, 53832, 59280, 50438, 51705, 51056, 50903, 53832, 65494, 50446, 73517, 50822, 51034, 51007, 51072, 51098, 51422, 51410, 52821, 51231, 52821, 51672, 52821, 54524, 51248, 52054, 51066, 75508, 60950, 51007, 51059, 59015, 51373, 58638, 51007, 55075, 50851, 51034, 51149, 50824, 51389, 51742, 51457, 50849, 51981, 51518, 51208, 50855, 51810, 52773, 53497, 51373, 54711, 51818, 51534, 50425, 51007, 51029, 51768, 68594, 50428, 51457, 79218, 57580, 60073, 50909, 59116, 51389, 53877, 50810, 51034, 50935, 51029, 51098, 52069, 51303, 52821, 51231, 52821, 51672, 52821, 51457, 51945, 79451, 75508, 52729, 50935, 55225, 68594, 50443, 58735, 56041, 70635, 68574, 51034, 51389, 51417, 51457, 51486, 51981, 51518, 51208, 50855, 51810, 52773, 53497, 51373, 54711, 51818, 51534, 50424, 50935, 51300, 51768, 68594, 50428, 51457, 51627, 53924, 55707, 51098, 62771, 53119, 59280, 55258, 51022, 50445, 50850, 63999, 62493, 50907, 51034, 50847, 52442, 51150, 51692, 51476, 52821, 51465, 52821, 51231, 51945, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 67834, 51127, 51231, 51486, 51327, 51518, 51020, 50855, 51403, 53243, 53497, 51373, 54711, 51249, 51534, 51768, 68594, 50428, 51231, 79218, 51668, 51056, 57580, 50810, 56041, 50810, 68423, 51692, 51476, 53413, 51465, 53413, 51231, 53413, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 67834, 51127, 51020, 50855, 51403, 53243, 53497, 51373, 50851, 75508, 52729, 52318, 51056, 57580, 50810, 56041, 50810, 51034, 67696, 51273, 51692, 51719, 52821, 51249, 51945, 51327, 52821, 51457, 52821, 52506, 53220, 67696, 57580, 61868, 50909, 51483, 59015, 62445, 56041, 70635, 50909, 51054, 51007, 50950, 51034, 51216, 51127, 51249, 51486, 51457, 51518, 51268, 50855, 51185, 52773, 51420, 54711, 51672, 51534, 50425, 67448, 51768, 68594, 50428, 51249, 79218, 52318, 51056, 50903, 62445, 50443, 50850, 51014, 56041, 50851, 79515, 52069, 51719, 52821, 51249, 51945, 51327, 52821, 51457, 52821, 52506, 70250, 50944, 51009, 75508, 52729, 57580, 60073, 61648, 56041, 50851, 51034, 50944, 51066, 51216, 51417, 51249, 51486, 51457, 51518, 51268, 50855, 51185, 52773, 53497, 51373, 54711, 51672, 51534, 50425, 50868, 51029, 51768, 68594, 50428, 51249, 51627, 53924, 55707, 51273, 62771, 53119, 59280, 55258, 51022, 50445, 50848, 69389, 62493, 50907, 51034, 50848, 52208, 51098, 52069, 51410, 53413, 51231, 53413, 51672, 53413, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 51034, 51389, 51417, 51208, 50855, 51810, 52773, 53497, 51373, 50851, 75508, 52729, 51705, 50995, 57580, 50810, 56041, 50810, 67834, 51692, 51410, 53413, 51231, 53413, 51672, 53413, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 79515, 51025, 51208, 50855, 51810, 52773, 53497, 51589, 65173, 62493, 55124, 51493, 51025, 52234, 51610, 68594, 53924, 55707, 51705, 51025, 65069, 53832, 59280, 55258, 57138, 57988, 50446, 50935, 50860, 61977, 58188, 64827, 51007, 51500, 67834, 52069, 51410, 53413, 51231, 53413, 51672, 53413, 54524, 51248, 52054, 68586, 51007, 51167, 57580, 61868, 51007, 51483, 59015, 62445, 56041, 50851, 51034, 70011, 51389, 51417, 51208, 50855, 51810, 52773, 53497, 51373, 50851, 50419, 51007, 51294, 75508, 57181, 50909, 53663, 51098, 50995, 57580, 50810, 56041, 50810, 51034, 50935, 51066, 51098, 52069, 51303, 53413, 51231, 53413, 51672, 53413, 51457, 53413, 79451, 75508, 60950, 50935, 52125, 50935, 51066, 57580, 50810, 56041, 70635, 68574, 51034, 51389, 51417, 51208, 50855, 51810, 52773, 53497, 51373, 71203, 50935, 51029, 75508, 52729, 51668, 50995, 57580, 70214, 50850, 51033, 56041, 62135, 50847, 51761, 68423, 51692, 51476, 53413, 51465, 53413, 51231, 53413, 79451, 75508, 62903, 50847, 55381, 50903, 51373, 56532, 77362, 56041, 70936, 50850, 51300, 67834, 51127, 51020, 50855, 51403, 53243, 51420, 50851, 75508, 52658, 50847, 54362, 68823, 51668, 51056, 50903, 62445, 56041, 50851, 51034, 50868, 51352, 51150, 51422, 51476, 52821, 51465, 52821, 51231, 51945, 79451, 75508, 52729, 57580, 50810, 56041, 50851, 51034, 52078, 51742, 51231, 51486, 51327, 51518, 51020, 50855, 51403, 53243, 53497, 51373, 54711, 51249, 51534, 51768, 68594, 50428, 51231, 51627, 50437, 50909, 53925, 57580, 53103, 50909, 79942, 52078, 53877, 50810, 51034, 50909, 51551, 51273, 52069, 51719, 53413, 51249, 53413, 51327, 53413, 51457, 53413, 79451, 75508, 52729, 50903, 51373, 59615, 50909, 60224, 50909, 50859, 56041, 70936, 50909, 51173, 51034, 51216, 51417, 51268, 50855, 51185, 52773, 53497, 51373, 54711, 67448, 75508, 61868, 50850, 51379, 68005, 50995, 57580, 50810, 56041, 50810, 51034, 61648, 51273, 51422, 51719, 52821, 51249, 51945, 51327, 52821, 51457, 52821, 52506, 54711, 50944, 51066, 75508, 58645, 50868, 51745, 50438, 57580, 50810, 56041, 70635, 50848, 52827, 51034, 51216, 51742, 51249, 51486, 51457, 51518, 51268, 50855, 51185, 52773, 51420, 54711, 51672, 51534, 51768, 68594, 50428, 51249, 51627, 59015, 51373, 58638, 51216, 53877, 70936, 50848, 51072, 79515, 52069, 51719, 53413, 51249, 53413, 51327, 53413, 51457, 53413, 52506, 68014, 50868, 51745, 75508, 52729, 50944, 51300, 50903, 62445, 56041, 50851, 51034, 51216, 51417, 51268, 50855, 51185, 52773, 53497, 51373, 68014, 50909, 51761, 75508, 52729, 51273, 50995, 57580, 60696, 80146, 56041, 50810, 67834, 52069, 52571, 53413, 51410, 53413, 51231, 53413, 79451, 59609, 66350, 50847, 52017, 75508, 52729, 50903, 62445, 56041, 50851, 51034, 51389, 51417, 51208, 50855, 51810, 52773, 53497, 51373, 50851, 75508, 52729, 51216, 50995, 57580, 50810, 56041, 50810, 67834, 51692, 51410, 52821, 51231, 52821, 51672, 52821, 79451, 75508, 52729, 50903, 62445, 56041, 50851, 79515, 51025, 51457, 50849, 51981, 51518, 51208, 50855, 51810, 52773, 53497, 51589, 54711, 51818, 51534, 50422, 62493, 55124, 51493, 51025, 52234, 51610, 68594, 50428, 51457, 51627, 53924, 55707, 51705, 51115, 65069, 53832, 59280, 55258, 51022, 50446, 61977, 58188, 64827, 78771, 51034, 51007, 51932, 50847, 51227, 51098, 51422, 51410, 53413, 51231, 53413, 51672, 53413, 52796, 53849, 51401, 51680, 54524, 51248, 52054, 51022, 50415, 52451, 57771, 53648, 55392, 50422, 51083, 69029, 51007, 51300, 50935, 51300, 51020, 50932, 57580, 57181, 51083, 51852, 50438, 51208, 51309, 50903, 51373, 58638, 51083, 51642, 50801 ]

[ 0, 250, 15855, 8, 5175, 2125, 4246, 10, 13305, 6, 42, 2214, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 15352, 30054, 23225, 4, 8504, 11, 211, 538, 8, 10, 132, 73, 306, 86, 6543, 6, 24, 30853, 23, 10, 7212, 20889, 6, 2351, 10, 1472, 9, 26545, 8, 9066, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 66702, 51026, 60379, 67888, 51535, 56945, 54335, 51086, 65909, 51318, 56014, 50905, 64690, 59023, 51662, 50420, 79407, 50916, 61544, 50951, 52921, 50999, 63270, 54342, 50899, 58363, 50905, 78246, 58363, 55126, 50989, 66228, 54335, 50916, 58127, 51535, 58296, 65909, 50905, 63188, 66228, 55126, 51027, 59023, 50905, 53337, 72169, 51535, 56014, 51644, 50322, 50905, 51057, 51086, 59023, 55126, 50916, 58127, 54335, 51040, 62430, 51535, 74769, 66386, 50905, 64690, 58127, 55126, 51040, 72169, 54335, 51086, 62035, 51535, 74769, 60379, 50905, 65679, 62430, 55126, 51378, 72169, 54335, 51315, 51644, 50305, 51480, 50861, 51318, 74769, 50905, 69953, 62035, 51803, 69724, 50822, 51315, 61544, 50861, 52921, 62804, 51378, 65005, 50861, 53193, 80255, 51315, 60282, 57660, 51057, 62804, 51120, 67943, 50861, 53728, 80255, 51315, 61544, 50916, 52921, 60501, 51378, 65005, 50900, 53193, 51086, 50822, 51120, 60282, 51027, 50822, 65679, 51644, 50303, 55126, 67642, 51027, 61544, 50876, 52921, 59139, 51086, 65005, 50876, 53193, 67642, 51027, 60234, 59855, 51057, 59139, 51026, 67075, 50876, 53728, 67642, 51027, 62149, 50877, 52921, 57660, 51086, 64318, 50871, 53193, 63077, 51026, 58952, 60501, 51057, 63077, 50900, 63118, 50861, 53728, 62804, 51086, 58861, 50973, 52921, 59855, 51027, 59910, 50968, 53193, 79407, 51026, 61647, 64413, 51057, 69165, 51378, 71423, 50876, 54351, 73186, 51315, 63867, 50877, 53450, 73186, 51197, 64627, 50999, 52658, 65111, 51324, 60698, 51114, 50810, 51057, 65111, 51315, 76882, 50973, 54611, 74730, 51279, 60522, 50902, 53906, 74730, 51027, 62554, 50951, 53627, 51114, 50833, 51040, 58926, 66642, 51057, 51114, 64912, 66147, 50902, 52871, 58368, 51040, 59573, 51114, 52710, 59285, 51086, 58983, 51114, 52559, 72370, 51026, 57807, 66638, 51057, 79514, 51027, 55728, 50877, 51835, 61783, 51026, 53471, 51028, 51620, 57213, 51378, 65708, 50968, 53974, 51114, 50859, 51315, 63363, 69084, 69953, 51936, 50325, 51227, 51114, 51661, 50420, 51315, 55341, 51378, 51936, 50330, 51343, 71341, 50893, 75040, 75672, 51977, 50420, 51399, 50858, 51086, 64784, 51146, 54149, 51430, 51879, 50305, 55214, 51027, 75208, 50893, 64690, 51936, 50322, 56763, 51378, 72386, 60446, 51345, 50426, 60003, 51026, 54253, 51114, 52559, 72370, 51027, 62036, 57807, 61673, 69953, 51124, 50902, 51413, 50417, 50877, 53932, 50989, 51241, 50423, 51027, 50854, 53337, 51025, 65679, 60379, 67888, 51535, 56945, 54335, 51086, 65909, 51318, 56014, 50905, 64690, 59023, 51662, 50420, 79407, 50916, 61544, 50951, 52921, 50999, 63270, 54342, 50899, 58363, 50905, 78246, 58363, 55126, 50989, 66228, 54335, 50916, 58127, 51535, 58296, 65909, 50905, 63188, 66228, 55126, 51027, 59023, 50905, 53337, 72169, 51535, 56014, 51644, 50322, 50905, 51057, 51086, 59023, 55126, 50916, 58127, 54335, 51040, 62430, 51535, 74769, 66386, 50905, 64690, 58127, 55126, 51040, 72169, 54335, 51086, 62035, 51535, 74769, 60379, 50905, 65679, 62430, 55126, 51378, 72169, 54335, 51315, 51644, 50305, 51480, 50861, 51318, 74769, 50905, 69953, 62035, 51803, 69724, 50822, 51315, 61544, 50861, 52921, 62804, 51378, 65005, 50861, 53193, 80255, 51315, 60282, 57660, 51057, 62804, 51120, 67943, 50861, 53728, 80255, 51315, 61544, 50916, 52921, 60501, 51378, 65005, 50900, 53193, 51086, 50822, 51120, 60282, 51027, 50822, 65679, 51644, 50303, 55126, 67642, 51027, 61544, 50876, 52921, 59139, 51086, 65005, 50876, 53193, 67642, 51027, 60234, 59855, 51057, 59139, 51026, 67075, 50876, 53728, 67642, 51027, 62149, 50877, 52921, 57660, 51086, 64318, 50871, 53193, 63077, 51026, 58952, 60501, 51057, 63077, 50900, 63118, 50861, 53728, 62804, 51086, 58861, 50973, 52921, 59855, 51027, 59910, 50968, 53193, 79407, 51026, 61647, 64413, 51057, 69165, 51378, 71423, 50876, 54351, 73186, 51315, 63867, 50877, 53450, 73186, 51197, 64627, 50999, 52658, 65111, 51324, 60698, 51114, 50810, 51057, 65111, 51315, 76882, 50973, 54611, 74730, 51279, 60522, 50902, 53906, 74730, 51027, 62554, 50951, 53627, 51114, 50833, 51040, 58926, 66642, 51057, 51114, 64912, 66147, 50902, 52871, 58368, 51040, 59573, 51114, 52710, 59285, 51086, 58983, 51114, 52559, 72370, 51026, 57807, 66638, 51057, 79514, 51027, 55728, 50877, 51835, 61783, 51026, 53471, 51028, 51620, 57213, 51378, 65708, 50968, 53974, 51114, 50859, 51315, 63363, 69084, 69953, 51936, 50325, 51227, 51114, 51661, 50420, 51315, 55341, 51378, 51936, 50330, 51343, 71341, 50893, 75040, 75672, 51977, 50420, 51399, 50858, 51086, 64784, 51146, 54149, 51430, 51879, 50305, 55214, 51027, 75208, 50893, 64690, 51936, 50322, 56763, 51378, 72386, 60446, 51345, 50426, 60003, 51026, 54253, 51114, 52559, 72370, 51027, 62036, 57807, 61673, 69953, 51124, 50902, 51413, 50417, 50877, 53932, 50989, 51241, 50423, 51027, 50854, 53337, 51025, 64690, 60379, 50995, 56440, 50905, 53337, 51644, 50325, 51318, 56014, 50905, 51057, 51086, 55126, 51220, 50822, 51027, 61544, 51062, 52921, 78788, 51086, 65005, 51062, 53193, 51220, 73353, 60282, 72372, 65679, 58127, 51911, 50327, 51313, 56945, 54335, 51026, 60379, 51318, 50432, 51050, 50905, 51057, 51315, 55126, 66310, 51120, 61544, 50931, 52921, 64413, 51315, 65005, 50931, 53193, 66310, 51026, 60282, 59139, 68176, 66386, 51480, 51062, 51480, 53502, 50905, 53337, 60379, 51480, 51220, 51318, 64185, 50892, 72754, 58007, 51391, 50420, 69165, 51050, 62149, 51147, 53450, 50871, 73089, 57547, 50902, 58628, 58952, 60300, 64690, 64510, 62244, 75504, 74253, 51086, 58861, 51430, 52654, 51146, 64312, 59910, 51062, 53911, 51220, 65860, 61647, 50999, 50854, 73567, 78273, 50901, 54569, 51514, 50324, 51400, 53523, 61527, 52644, 50432, 69165, 51086, 60234, 51220, 50822, 75040, 77406, 55126, 51220, 59035, 61544, 51062, 52921, 78788, 50916, 65005, 51062, 53193, 51220, 50822, 50965, 60282, 78788, 51057, 51062, 59035, 67943, 51220, 53728, 72372, 50900, 61544, 51062, 52921, 51220, 73353, 65005, 50999, 53193, 51147, 50822, 51086, 60282, 51220, 50822, 63188, 51644, 50325, 53487, 67855, 59035, 61544, 50931, 52921, 64413, 51040, 65005, 50931, 53193, 50968, 59035, 60282, 64413, 51057, 62389, 50899, 67943, 50968, 53728, 59139, 50871, 61544, 50931, 52921, 66310, 50861, 65005, 50902, 53193, 72433, 50916, 60282, 66310, 72754, 50822, 50902, 51480, 50417, 50916, 53728, 60501, 51220, 50995, 50423, 50871, 53450, 65200, 50876, 51411, 50429, 50899, 53513, 66883, 50999, 50915, 50435, 67597, 64690, 50810, 50973, 51400, 50417, 50900, 53066, 51086, 50810, 51147, 63867, 50899, 50854, 53523, 69539, 68502, 62554, 51086, 53911, 51027, 50833, 51062, 58926, 51026, 50833, 67870, 50812, 50902, 54275, 51315, 50812, 51062, 52734, 51120, 50808, 51220, 53184, 51050, 50808, 51146, 52450, 59179, 51315, 51112, 50429, 51220, 51628, 50999, 66477, 51238, 50435, 51147, 50859, 75040, 51362, 50999, 51362, 50417, 50900, 54681, 51086, 52296, 50899, 52450, 50900, 60412, 51176, 53911, 51027, 54112, 51086, 50844, 51057, 51040, 51644, 50332, 51480, 56440, 54335, 51040, 65909, 51318, 74769, 50905, 64690, 51644, 50325, 51662, 50420, 79407, 51120, 50995, 50423, 50968, 52921, 51114, 56739, 50902, 53193, 72433, 51315, 60282, 66310, 51057, 51378, 60379, 51662, 56945, 54335, 51378, 77406, 51318, 50432, 51120, 50905, 65679, 55126, 51220, 50822, 51214, 51480, 50423, 50999, 52921, 51220 ]

[ 0, 713, 15352, 30054, 5175, 2214, 11, 274, 3694, 1931, 21683, 10, 12298, 1619, 4780, 19, 63, 17627, 17274, 8, 33558, 6711, 4, 16241, 212, 22052, 6, 579, 1517, 20426, 31365, 25999, 6, 8, 21072, 283, 561, 7, 1045, 10, 20902, 15229, 14, 3136, 23, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 12608, 8, 230, 10431, 6, 1271, 7, 5, 1349, 18, 33928, 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 ]

[ 56236, 50799, 51488, 51045, 51600, 51045, 51394, 50823, 52736, 50859, 53608, 50859, 53909, 53113, 53148, 50878, 63827, 53950, 51395, 51045, 51629, 51045, 51304, 50823, 53034, 50859, 54229, 50859, 53372, 52686, 53148, 50878, 63827, 54773, 51201, 51045, 51394, 51045, 51905, 50823, 52547, 50859, 53909, 50859, 55031, 53247, 53148, 50878, 63827, 54721, 51600, 51045, 51304, 51045, 51811, 50823, 53608, 50859, 53372, 50859, 54571, 52935, 53148, 50878, 63827, 50859, 70564, 51045, 51394, 51045, 51905, 50823, 52547, 50859, 53909, 50859, 55031, 53113, 51638, 50878, 54064, 53950, 51395, 51045, 51394, 51045, 51304, 50823, 53034, 50859, 53909, 50859, 53372, 52686, 51638, 50878, 54064, 54773, 51488, 51045, 51201, 51045, 51394, 50823, 52736, 50859, 52547, 50859, 53909, 53247, 51638, 50878, 54064, 54721, 51093, 50921, 51395, 50921, 51629, 51045, 51716, 50812, 53034, 50812, 54229, 54418, 51638, 50878, 54064, 50859, 50799, 51488, 51045, 51600, 51045, 51394, 50823, 52736, 50859, 53608, 50859, 53909, 53113, 52481, 50878, 65489, 53950, 51395, 51045, 51629, 51045, 51304, 50823, 53034, 50859, 54229, 50859, 53372, 52686, 52481, 50878, 65489, 54773, 51201, 51045, 51394, 51045, 51905, 50823, 52547, 50859, 53909, 50859, 55031, 53247, 52481, 50878, 65489, 54721, 51395, 51045, 51600, 51045, 51811, 50823, 53034, 50859, 53608, 50859, 54571, 52935, 52481, 50878, 65489, 50859, 50799, 51488, 51045, 51201, 51045, 51284, 51045, 51905, 50823, 52736, 50859, 52547, 50859, 53051, 50859, 55031, 53113, 51887, 50878, 55825, 53950, 51093, 51045, 51395, 51045, 51284, 51045, 51304, 50823, 51716, 50859, 53034, 50859, 53051, 50859, 53372, 52686, 51887, 50878, 55825, 54773, 51165, 51045, 51488, 51045, 51201, 51045, 51394, 50823, 52072, 50859, 52736, 50859, 52547, 50859, 53909, 53247, 51887, 50878, 55825, 54721, 51375, 50921, 51093, 50921, 51395, 50921, 51629, 51045, 52398, 50812, 51716, 50812, 53034, 50812, 54229, 54418, 51887, 50878, 55825, 50859, 50799, 53148, 50921, 51491, 50823, 51488, 50823, 51600, 50823, 51394, 50802, 63827, 50921, 52582, 50921, 52736, 50921, 53608, 50921, 53909, 65061, 51304, 50803, 53372, 54007, 76021, 53909, 52422, 51629, 50811, 54229, 56257, 76021, 53909, 52877, 52316, 51033, 51375, 50823, 51395, 50823, 51629, 50823, 51304, 50802, 57380, 51014, 52398, 50921, 53034, 51045, 54229, 51045, 53372, 62894, 51905, 50803, 55031, 54787, 51304, 50803, 53372, 53153, 51394, 50811, 53909, 57701, 51304, 50803, 53372, 50821, 50799, 51638, 51014, 51165, 50823, 51201, 50823, 51394, 50823, 51905, 50802, 54064, 51045, 52072, 50823, 52547, 50823, 53909, 50823, 55031, 52410, 51811, 50803, 54571, 57852, 51905, 50803, 55031, 54631, 51304, 50811, 53372, 52726, 51905, 50803, 55031, 55734, 51154, 51021, 51201, 50802, 51905, 50802, 53089, 50802, 51821, 50923, 52547, 50923, 55031, 50923, 59680, 52313, 51794, 51021, 51488, 50802, 51394, 50802, 51690, 50802, 53496, 50923, 52736, 50806, 53909, 50806, 55803, 59164, 51638, 50806, 51165, 70287, 50802, 51905, 50802, 54064, 50806, 52072, 50806, 52547, 50806, 55031, 60345, 51887, 50865, 51154, 51138, 51488, 51138, 51394, 50860, 55825, 50924, 51821, 50924, 52736, 50924, 53909, 50936, 50799, 53148, 50921, 51491, 50823, 51488, 50823, 51600, 50823, 51394, 50860, 63827, 50821, 52736, 50821, 52582, 50921, 53608, 50921, 53909, 65061, 51304, 50803, 53372, 54007, 76021, 53909, 52422, 51629, 50811, 54229, 56257, 76021, 53909, 52877, 52316, 51033, 51375, 50823, 51395, 50823, 51629, 50823, 51304, 50802, 57380, 50894, 52398, 50921, 53034, 51045, 54229, 51045, 53372, 62894, 51905, 50803, 55031, 54787, 51304, 50803, 53372, 53153, 51394, 50811, 53909, 57701, 51304, 50803, 53372, 50821, 50799, 77961, 51201, 50860, 51394, 50860, 51905, 50860, 54064, 50821, 52547, 51138, 53909, 51138, 55031, 72933, 77961, 51165, 50802, 51488, 70287, 50802, 54064, 50882, 52072, 50806, 52736, 50806, 52547, 52247, 51638, 50882, 51488, 70287, 50802, 51394, 50802, 54064, 50882, 52736, 50923, 52547, 50923, 53909, 57067, 51638, 50882, 51201, 50802, 51394, 50802, 51905, 50802, 54064, 50894, 52547, 51012, 53909, 51012, 55031, 63982, 51638, 50894, 51201, 50860, 51394, 50860, 51690, 50860, 54064, 50894, 52547, 50860, 53909, 50860, 55803, 56059, 51638, 50894, 51165, 70287, 50802, 51905, 50802, 54064, 50950, 52072, 50923, 52547, 50923, 55031, 56827, 51638, 50950, 51201, 50802, 51394, 50802, 51690, 50802, 54064, 50950, 52547, 51012, 53909, 51012, 55803, 60345, 75200, 53089, 50860, 51201, 50802, 51905, 50802, 54064, 50803, 59680, 50860, 52547, 50802, 55031, 50802, 55556, 50803, 61615, 51732, 78093, 51732, 71078, 51732, 51488, 50859, 76263, 52736, 50859, 52547, 50859, 53151, 52220, 52885, 56868, 53916, 55265, 52032, 61792, 51996, 61993, 54277, 52302, 51727, 50894, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 53970, 51041, 52905, 51132, 50923, 51488, 50859, 76263, 52736, 50859, 52547, 54047, 50898, 52844, 51727, 50883, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 50827, 52093, 55545, 50923, 51488, 50859, 76263, 52736, 50859, 52547, 53238, 68732, 54735, 51068, 52878, 51727, 50883, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 65232, 51041, 54255, 51068, 53035, 51957, 50923, 51488, 50859, 76263, 52736, 50859, 52547, 54047, 75207, 52738, 51132, 50883, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 50827, 52093, 55556, 50803, 51488, 50859, 76263, 52736, 50859, 52547, 53238, 51041, 52981, 51727, 50894, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 53970, 51041, 52905, 51132, 50923, 51488, 50859, 76263, 52736, 50859, 52547, 54047, 50898, 52844, 51727, 50883, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 50827, 52093, 55545, 50923, 51488, 50859, 76263, 52736, 50859, 52547, 53238, 51041, 52878, 51727, 50883, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 50827, 61741, 51957, 50923, 51488, 50859, 76263, 52736, 50859, 52547, 54047, 50898, 52738, 51533, 50949, 51488, 50827, 51201, 50827, 52736, 50827, 52547, 50827, 54277, 50829, 51996, 50829, 52032, 50829, 53916, 50829, 53151, 51539, 50828, 55556, 50803, 70728, 51732, 61592, 51732, 65619, 51732, 53343, 52220, 51041, 55614, 51836, 55265, 52541, 61792, 52695, 61993, 56177, 52302, 51727, 50894, 51093, 50854, 51629, 50854, 51716, 50854, 54229, 53590, 51041, 52905, 51132, 50923, 51093, 50879, 51629, 50879, 51716, 50879, 54229, 50879, 52777, 52844, 51727, 50883, 51488, 50854, 51201, 50854, 52736, 50854, 52547, 50854, 52093, 55545, 50923, 51093, 50879, 51629, 50879, 51716, 50879, 54229, 50879, 63145, 51041, 54735, 51068, 52878, 51727, 50883, 51488, 50854, 51201, 50854, 52736, 50854, 52547, 62450, 51187, 53035, 51957, 50923, 51093, 50879, 51629, 50879, 51716, 50879, 54229, 53543, 75207, 52738, 51132, 50883, 51488, 50854, 51201, 50854, 52736, 50854, 52547, 50854, 52093, 55556, 75889, 50879, 51629, 50879, 51716, 50879, 54229, 50879, 52553, 52981, 51727, 50894, 51488, 50854, 51201, 50854, 52736, 50854, 52547, 53590, 51041, 52905, 51132, 50923, 51093, 50879, 51629, 50879, 51716, 50879, 54229, 50879, 52777, 52844, 51727, 50883, 51488, 50854, 51201, 50854, 52736, 50854, 52547, 50854, 52093, 55545, 50923, 51093, 50879, 51629, 50879, 51716, 50879, 54229, 50879, 51320, 52878, 51727, 50883, 51488, 50854, 51201, 50854, 52736, 50854, 52547, 54806, 51759 ]

[ 0, 250, 15352, 30054, 8, 20425, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 816, 11, 10, 1769, 155, 73, 306, 86, 6543, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 538, 8, 24536, 10, 33215, 13931, 9, 163, 6, 381, 6, 163, 6, 2060, 119, 6, 8, 12608, 119, 4, 2285, 63, 765, 13428, 6, 5, 15229, 10200, 7, 15451, 10, 1472, 9, 11098, 8, 657, 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 ]

[ 51034, 50634, 50438, 51324, 50959, 79623, 50442, 51360, 50959, 51028, 63251, 51197, 50959, 51001, 50959, 51034, 51841, 51148, 51315, 51148, 50916, 51148, 50965, 51148, 50973, 51148, 50968, 65680, 51315, 50959, 51086, 50959, 67946, 78966, 51147, 50959, 51430, 50959, 51034, 51147, 50829, 53667, 51148, 51279, 51148, 50415, 50999, 64301, 51220, 56166, 51028, 51535, 50968, 51535, 50999, 51535, 51399, 51535, 63809, 50959, 67946, 64645, 51399, 50959, 53684, 50905, 51034, 51787, 50829, 56539, 51242, 51503, 51242, 50415, 52128, 64301, 51814, 56166, 51220, 51609, 50339, 55105, 50999, 50959, 51814, 57818, 51147, 50959, 52128, 50959, 51176, 51242, 51086, 51242, 50916, 68766, 51220, 50959, 53117, 58450, 51114, 50959, 51787, 50959, 51324, 51242, 51378, 51242, 50956, 74458, 50999, 50959, 51814, 50959, 51034, 78966, 51430, 50959, 51315, 51242, 51176, 51242, 51086, 51242, 50916, 51242, 50420, 51147, 50959, 52128, 57818, 51086, 51242, 50956, 51242, 50989, 51242, 50973, 51242, 51114, 51242, 51220, 51242, 51405, 51242, 51787, 75120, 79623, 50442, 51028, 63251, 51001, 50959, 51034, 52759, 51148, 51360, 51148, 50916, 51148, 50965, 51148, 51028, 51148, 50968, 65680, 51360, 50959, 51176, 50959, 51040, 50959, 78966, 51147, 50959, 51399, 50959, 51430, 50959, 51034, 50951, 50829, 56539, 51148, 51503, 51148, 50415, 51147, 64301, 51081, 56166, 50973, 51535, 51001, 51535, 51147, 51535, 51220, 51535, 50438, 51176, 50959, 51086, 50959, 66359, 70644, 51220, 50959, 53117, 50959, 51034, 52052, 50829, 69630, 51242, 51966, 51242, 50415, 53117, 64301, 52357, 56166, 51405, 51609, 50343, 55105, 51399, 50959, 53684, 57818, 51220, 50959, 53117, 50959, 51086, 51242, 50956, 51242, 50989, 51242, 50973, 68766, 51405, 50959, 53919, 58450, 51081, 50959, 52052, 50959, 51378, 51242, 51040, 51242, 50916, 74458, 51399, 50959, 53684, 50959, 51034, 53117, 51609, 50291, 51242, 51378, 51242, 50956, 51242, 50416, 53684, 60209, 51220, 51609, 50339, 55105, 51081, 50959, 52052, 57818, 51086, 51242, 50956, 51242, 50989, 51242, 50973, 51242, 51220, 51242, 53117, 75120, 79623, 50442, 51028, 63251, 51001, 50959, 51034, 51841, 51148, 51315, 51148, 50916, 51148, 50965, 51148, 50973, 51148, 50968, 65680, 51315, 50959, 51086, 50959, 67946, 78966, 51147, 50959, 51430, 50959, 51034, 51147, 50829, 53667, 51148, 51279, 51148, 50415, 50999, 64301, 51220, 56166, 51028, 51535, 50968, 51535, 50999, 51535, 51399, 51535, 63809, 50959, 67946, 64645, 51399, 50959, 53684, 50905, 51034, 51787, 50829, 56539, 51242, 51503, 51242, 50415, 52128, 64301, 51814, 56166, 51220, 51609, 50339, 55105, 50999, 50959, 51814, 57818, 51147, 50959, 52128, 50959, 51176, 51242, 51086, 51242, 50916, 68766, 51220, 50959, 53117, 58450, 51114, 50959, 51787, 50959, 51324, 51242, 51378, 51242, 50956, 74458, 50999, 50959, 51814, 50959, 51034, 78966, 51430, 50959, 51315, 51242, 51176, 51242, 51086, 51242, 50916, 51242, 50420, 51147, 50959, 52128, 57818, 51086, 51242, 50956, 51242, 50989, 51242, 50973, 51242, 51114, 51242, 51220, 51242, 51405, 51242, 51787, 75120, 79623, 50442, 51028, 63251, 51001, 50959, 51034, 52759, 51148, 51360, 51148, 50916, 51148, 50965, 51148, 51028, 51148, 50968, 65680, 51360, 50959, 51176, 50959, 51040, 50959, 78966, 51147, 50959, 51399, 50959, 51430, 50959, 51034, 50951, 50829, 56539, 51148, 51503, 51148, 50415, 51147, 64301, 51081, 56166, 50973, 51535, 51001, 51535, 51147, 51535, 51220, 51535, 50438, 51176, 50959, 51086, 50959, 66359, 70644, 51220, 50959, 53117, 50959, 51034, 52052, 50829, 69630, 51242, 51966, 51242, 50415, 53117, 64301, 52357, 56166, 51405, 51609, 50343, 55105, 51399, 50959, 53684, 57818, 51220, 50959, 53117, 50959, 51086, 51242, 50956, 51242, 50989, 51242, 50973, 68766, 51405, 50959, 53919, 58450, 51081, 50959, 52052, 50959, 51378, 51242, 51040, 51242, 50916, 74458, 51399, 50959, 53684, 50959, 51034, 53117, 51609, 50291, 51242, 51378, 51242, 50956, 51242, 50416, 53684, 60209, 51220, 51609, 50339, 55105, 51081, 50959, 52052, 57818, 51086, 51242, 50956, 51242, 50989, 51242, 50973, 51242, 51220, 51242, 53117, 75120, 79623, 50442, 51028, 63251, 51001, 50959, 51034, 54637, 51148, 51324, 51148, 51086, 51148, 50973, 65680, 51324, 50959, 51086, 50959, 79623, 51220, 50959, 51034, 51114, 50829, 55774, 51148, 51214, 51148, 50415, 50951, 64301, 50999, 56166, 50973, 51535, 50951, 51535, 51220, 51535, 62322, 50959, 69505, 62958, 51220, 50959, 53117, 50959, 51034, 51814, 50829, 51799, 51242, 51120, 51242, 50415, 53117, 64301, 52357, 56166, 51146, 51609, 50342, 55105, 51062, 50959, 52357, 57818, 51220, 50959, 53117, 50959, 50899, 51242, 50973, 51242, 50902, 68766, 51146, 50959, 52912, 58450, 50999, 50959, 51814, 50959, 50899, 51242, 79378, 50876, 74458, 51062, 50959, 52357, 50959, 51034, 76598, 51487, 50959, 50899, 51242, 76684, 50973, 51242, 50420, 51220, 50959, 53117, 57818, 50999, 50959, 51146, 50959, 51787, 50959, 51814, 50959, 50899, 51242, 50989, 51242, 50877, 75120, 51279, 50959, 64645, 50442, 51324, 50959, 50973, 63251, 51360, 50959, 51028, 50959, 51034, 51799, 51148, 51120, 51148, 50899, 51148, 50902, 65680, 51120, 50959, 69505, 50902, 51644, 50330, 50905, 51034, 51081, 50829, 54637, 51148, 51324, 51148, 50415, 51220, 64301, 51399, 56166, 51001, 51535, 51114, 51535, 51220, 51535, 51405, 51535, 50438, 51086, 50959, 79623, 51405, 51644, 50343, 50905, 51034, 53117, 50829, 56539, 51242, 51503, 51242, 50415, 53684, 64301, 53919, 56166, 51430, 50822, 55226, 53728, 51220, 51644, 50339, 54335, 50999, 51644, 50337, 51644, 50300, 51242, 51086, 51242, 50916, 68766, 51147, 51644, 50336, 54137, 51114, 51644, 50334, 51644, 50289, 51242, 51378, 51242, 51040, 74458, 51028, 51644, 50329, 50905, 51034, 50968, 51644, 50332, 51644, 50291, 51242, 51378, 51242, 51027, 51242, 50956, 51242, 50420, 51001, 51644, 50331, 54335, 51315, 51242, 51176, 51242, 51086, 51242, 50916, 51242, 50968, 51911, 50324, 51911, 50327, 51911, 50332, 56656, 51966, 50959, 50989, 50959, 50442, 51503, 50959, 50965, 63251, 51234, 50959, 71650, 51034, 54637, 51148, 51324, 51148, 51086, 51148, 50973, 65680, 51324, 50959, 51086, 50959, 79623, 51220, 50959, 51034, 51114, 50829, 55774, 51148, 51214, 51148, 50415, 50951, 64301, 50999, 56166, 50973, 51535, 50951, 51535, 51220, 51535, 62322, 50959, 69505, 62958, 51220, 50959, 53117, 50959, 51034, 51814, 50829, 51799, 51242, 51120, 51242, 50415, 53117, 64301, 52357, 56166, 51146, 51609, 50342, 55105, 51062, 50959, 52357, 57818, 51220, 50959, 53117, 50959, 50899, 51242, 50973, 51242, 50902, 68766, 51146, 50959, 52912, 58450, 50999, 50959, 51814, 50959, 50899, 51242, 79378, 50876, 74458, 51062, 50959, 52357, 50959, 51034, 76598, 51487, 50959, 50899, 51242, 76684, 50973, 51242, 50420, 51220, 50959, 53117, 57818, 50999, 50959, 51146, 50959, 51787, 50959, 51814, 50959, 50899, 51242, 50989, 51242, 50877, 75120, 51279, 50959, 64645, 50442, 51324, 50959, 50973, 63251, 51360, 50959, 51028, 50959, 51034, 51799, 51148, 51120, 51148, 50899, 51148, 50902, 65680, 51120, 50959, 69505, 74952, 51146, 50959, 51034, 51081, 50829, 54637, 51148, 51324, 51148, 50415, 51220, 64301, 51399, 56166, 51001, 51535, 51114, 51535, 51220, 51535, 51405, 51535, 50438, 51086, 50959, 51405, 50959, 53919, 50959, 50973, 50905, 51034, 53117, 50829 ]

[ 0, 250, 765, 37903, 9, 5175, 15855, 930, 11, 2060, 538, 6, 4246, 41, 20425, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 15352, 30054, 648, 2933, 5466, 20455, 9, 822, 8, 814, 5422, 6, 19, 10, 33215, 16739, 9, 12608, 6, 230, 10431, 6, 8, 163, 43531, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 50931, 56624, 50997, 53066, 50997, 54347, 51028, 52654, 50997, 55730, 50931, 52658, 50997, 54112, 51028, 52729, 50876, 56532, 51176, 53103, 50965, 54803, 50876, 52843, 51176, 56366, 51001, 52863, 50965, 54678, 60256, 58540, 56624, 50997, 53066, 50997, 54347, 50906, 52654, 50997, 55730, 51028, 52658, 50997, 54112, 50965, 52729, 51001, 56532, 51176, 53103, 50965, 54803, 51001, 52843, 51176, 56366, 50876, 52863, 50965, 54678, 70806, 62856, 56624, 51378, 53066, 51378, 54347, 51028, 52654, 51378, 55730, 51147, 52658, 51378, 54112, 51028, 52729, 51114, 56532, 51378, 53103, 51028, 54803, 51114, 52843, 51378, 56366, 50931, 52863, 51028, 54678, 59289, 57923, 56624, 51197, 53066, 51197, 54347, 50906, 52654, 51197, 55730, 51001, 52658, 51197, 54112, 50906, 52729, 50931, 56532, 51360, 53103, 50965, 54803, 50931, 52843, 51360, 56366, 51028, 52863, 50965, 54678, 65473, 56229, 56624, 50997, 53066, 50997, 54347, 51028, 52654, 50997, 55730, 51147, 52658, 50997, 54112, 51028, 52729, 50876, 56532, 51176, 53103, 50965, 54803, 50876, 52843, 51176, 56366, 51001, 52863, 50965, 54678, 60256, 58540, 56624, 50997, 53066, 50997, 54347, 50906, 52654, 50997, 55730, 50931, 52658, 50997, 54112, 50965, 52729, 51001, 56532, 51176, 53103, 50965, 54803, 51001, 52843, 51176, 56366, 50876, 52863, 50965, 54678, 70806, 62856, 56624, 51378, 53066, 51378, 54347, 51028, 52654, 51378, 55730, 51147, 52658, 51378, 54112, 51028, 52729, 51114, 56532, 51378, 53103, 51028, 54803, 51114, 52843, 51378, 56366, 50931, 52863, 51028, 54678, 59289, 57923, 56624, 51197, 53066, 51197, 54347, 50906, 52654, 51197, 55730, 51001, 52658, 51197, 54112, 50906, 52729, 50931, 56532, 51360, 53103, 50965, 54803, 50931, 52843, 51360, 56366, 51114, 52863, 50965, 54678, 65473, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15855, 15229, 19, 10, 25306, 27456, 6, 42, 765, 2125, 7630, 6568, 10, 1186, 9, 8597, 6, 31, 5, 9066, 7, 5, 5386, 6, 19, 41, 223, 28311, 9, 15073, 4, 20, 769, 196, 6757, 6, 2352, 6757, 6, 8, 13305, 45552, 833, 7, 1045, 10, 4066, 5797, 990, 1506, 9, 2369, 6, 278, 11, 5, 762, 9, 211, 538, 8, 1375, 23, 10, 7212, 2877, 11, 204, 73, 306, 86, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 75059, 54628, 50933, 55010, 71584, 55114, 51309, 66930, 55844, 55172, 52140, 54602, 51309, 56487, 55844, 55546, 52140, 56020, 61091, 51679, 56266, 51679, 55849, 51679, 57255, 51679, 50437, 55687, 51233, 56968, 51233, 50438, 55074, 51423, 54391, 51423, 50446, 56007, 51419, 56266, 51333, 55114, 50932, 54304, 51419, 57255, 51333, 54602, 50932, 50459, 54628, 51004, 55074, 50959, 55010, 51004, 54391, 50959, 50799, 56266, 52059, 55114, 51233, 57255, 52059, 54602, 51233, 50422, 55074, 51534, 54391, 51534, 50423, 50671, 50292, 52378, 58164, 51328, 54628, 51412, 58496, 52378, 54977, 51328, 55010, 51412, 50431, 56266, 51637, 55114, 51637, 57255, 51637, 54602, 51637, 50432, 70283, 55086, 55172, 51244, 65048, 55086, 55546, 51244, 50449, 54628, 51535, 59502, 52263, 55010, 51535, 57719, 52263, 50458, 58164, 51097, 54977, 51097, 56020, 70367, 55490, 66205, 55490, 50423, 66930, 54171, 55114, 51592, 55172, 51592, 56487, 54171, 54602, 51592, 55546, 51592, 59412, 61091, 51318, 56266, 51477, 55849, 51318, 57255, 51477, 50426, 66930, 53380, 55172, 53363, 55114, 51091, 56487, 53380, 55546, 53363, 54602, 51091, 50443, 63213, 51738, 56007, 51380, 55114, 51244, 58827, 51738, 54304, 51380, 54602, 51244, 50456, 55074, 50864, 54391, 64459, 55687, 50867, 56968, 65315, 56266, 51703, 56007, 51080, 57255, 51703, 54304, 51080, 50796, 50436, 55074, 51576, 54391, 51576, 50437, 50671, 50292, 51645, 54628, 51079, 58164, 50838, 58496, 51645, 55010, 51079, 54977, 52718, 55172, 51481, 55546, 51481, 50445, 70283, 54573, 55172, 51397, 55114, 51477, 56266, 51679, 65048, 54573, 55546, 51397, 54602, 51477, 57255, 51679, 50799, 54628, 51283, 59502, 52136, 55010, 51283, 57719, 52136, 50422, 58164, 51328, 54977, 51328, 50431, 70367, 54557, 66930, 51878, 55172, 51749, 55114, 51314, 66205, 54557, 56487, 51878, 55546, 51749, 54602, 51314, 50457, 56266, 52059, 57255, 52059, 50458, 50671, 50291, 51309, 56007, 51412, 70367, 51177, 55114, 52222, 50670, 50291, 51309, 54304, 51412, 66205, 51177, 54602, 52222, 52478, 58164, 51244, 50671, 50292, 51145, 55074, 51183, 55687, 51148, 54977, 51244, 58496, 51145, 54391, 51183, 56968, 51148, 50442, 55687, 51534, 56968, 51534, 50443, 50671, 50292, 51642, 58164, 50972, 55074, 51452, 58496, 51642, 54977, 50972, 54391, 51452, 50450, 70283, 53801, 63213, 52407, 65048, 53801, 58827, 52407, 50451, 55172, 51448, 54628, 51047, 56007, 51047, 55546, 51448, 55010, 51047, 54304, 51047, 69341, 55074, 50974, 70283, 51576, 54628, 51481, 55172, 53233, 56007, 51043, 63213, 51481, 54391, 50974, 65048, 51576, 55010, 51481, 55546, 53233, 54304, 51043, 58827, 51481, 50435, 66930, 51445, 56007, 51922, 56487, 51445, 54304, 51922, 50436, 56266, 51293, 61091, 51445, 55114, 51264, 57255, 51293, 55849, 51445, 54602, 51264, 50796, 50442, 55172, 50873, 66930, 50866, 56266, 51365, 55114, 50959, 56007, 51008, 61091, 51008, 55546, 50873, 56487, 50866, 57255, 51365, 54602, 50959, 54304, 51008, 55849, 51008, 50448, 61091, 51277, 55849, 51277, 50449, 56266, 51753, 55114, 51542, 66930, 52122, 55172, 51391, 56007, 51391, 60252, 51297, 57255, 51753, 54602, 51542, 56487, 52122, 55546, 51391, 54304, 51391, 56967, 60550, 63213, 51524, 58827, 51524, 51809, 55074, 50959, 55687, 50978, 55172, 50995, 54391, 50959, 56968, 50978, 55546, 50995, 50422, 56007, 50974, 54304, 69596, 56266, 50977, 57255, 50977, 50430, 55172, 50981, 56007, 51109, 55546, 50981, 54304, 51109, 50431, 56266, 51043, 57255, 51043, 50442, 54628, 50971, 55074, 50886, 55010, 50971, 54391, 63693, 56266, 51079, 55172, 50995, 55114, 50937, 57255, 51079, 55546, 50995, 54602, 50937, 50452, 56266, 51254, 61091, 51008, 57255, 51254, 55849, 71434, 61091, 51043, 56266, 51221, 55172, 50915, 55849, 51043, 57255, 51221, 55546, 50915, 53069, 63213, 51074, 56007, 51242, 58827, 51074, 54304, 65785, 55172, 51097, 55546, 51097, 50427, 55687, 51212, 55074, 51212, 56968, 51212, 54391, 51212, 50434, 56266, 51254, 56007, 50974, 57255, 51254, 54304, 50974, 50442, 56007, 51003, 56266, 51109, 55172, 50943, 54304, 51003, 57255, 51109, 55546, 79075, 54628, 50941, 55010, 72587, 55074, 51008, 54391, 65628, 56266, 51254, 55172, 51775, 57255, 51254, 55546, 51775, 50457, 55114, 50878, 54602, 50878, 51601, 56266, 50878, 55114, 50874, 57255, 50878, 54602, 65370, 56266, 50959, 55172, 51452, 55114, 50874, 57255, 50959, 55546, 51452, 54602, 58519, 56266, 50851, 57255, 64756, 55114, 50907, 54602, 73425, 55114, 50822, 56266, 50810, 54602, 50822, 57255, 53103, 56266, 50878, 55114, 51008, 57255, 50878, 54602, 76173, 55074, 50827, 54628, 51051, 54391, 50827, 55010, 60333, 56266, 52598, 56007, 51448, 57255, 52598, 54304, 51448, 50457, 55172, 50810, 66930, 50844, 55546, 50810, 56487, 50844, 51809, 55172, 50874, 55546, 62227, 66930, 50874, 56487, 56174, 55074, 51051, 54391, 51051, 50424, 66930, 51121, 55172, 51677, 56487, 51121, 55546, 73660, 56266, 51862, 57255, 51862, 50430, 59502, 51210, 70283, 52168, 54628, 51008, 57719, 51210, 65048, 52168, 55010, 59983, 59502, 50867, 54628, 50810, 57719, 50867, 55010, 60073, 59502, 50867, 54628, 50857, 57719, 50867, 55010, 67235, 59502, 50822, 57719, 76960, 54628, 50959, 55010, 50959, 50455, 56266, 51524, 57255, 51524, 50457, 55114, 51832, 54602, 51832, 50458, 55074, 51749, 54628, 51535, 54391, 51749, 55010, 51535, 52177, 55172, 50827, 70283, 50886, 55546, 50827, 65048, 62520, 55172, 50827, 70283, 50867, 55546, 50827, 65048, 62627, 55172, 51328, 70283, 50854, 56266, 51365, 55546, 51328, 65048, 50854, 57255, 51365, 50434, 54628, 50864, 55010, 59380, 70367, 54848, 66930, 51243, 55114, 51677, 66205, 54848, 56487, 51243, 54602, 51677, 50445, 56266, 51333, 56007, 51381, 61091, 50995, 55172, 51637, 57255, 51333, 54304, 51381, 55849, 50995, 55546, 51637, 50458, 55687, 51423, 56968, 51423, 50459, 55074, 50987, 54391, 50987, 52478, 56266, 52188, 55172, 51283, 56007, 51253, 57255, 52188, 55546, 51283, 54304, 51253, 50429, 55074, 50827, 54628, 50864, 54391, 50827, 55010, 53998, 56266, 51254, 55114, 50892, 57255, 51254, 54602, 69641, 55074, 51412, 50671, 50292, 52188, 58164, 51006, 54628, 51363, 54391, 51412, 58496, 52188, 54977, 51006, 55010, 51363, 50447, 70283, 53486, 55172, 51627, 55114, 51679, 56266, 51961, 65048, 53486, 55546, 51627, 54602, 51679, 57255, 51961, 50799, 59502, 52256, 54628, 51477, 57719, 52256, 55010, 51477, 50421, 58164, 51423, 54977, 51423, 50430, 70367, 52980, 55114, 51244, 66930, 52015, 66205, 52980, 54602, 51244, 56487, 52015, 50431, 55172, 51790, 55546, 51790, 52478, 64433, 52441, 63949, 51244, 77434, 51679, 59296, 52441, 61854, 51244, 76048, 51679, 50419, 61091, 52783, 66930, 51313, 55172, 51134, 55114, 50914, 55849, 52783, 56487, 51313, 55546, 51134, 54602, 50914, 50434, 55172, 52015, 55114, 51675, 50671, 50334, 52996, 55546, 52015, 54602, 51675, 50670, 50334, 52996, 50446, 69806, 50870, 73537, 50886, 59058, 50870, 74558, 64891, 61091, 53280, 64433, 51183, 63949, 51562, 55849, 53280, 59296, 51183, 61854, 51562, 60212, 69806, 51775, 50671, 50292, 52188, 59058, 51775, 58496, 52188, 50425, 58164, 50972, 56007, 51058, 55687, 50827, 57010, 51058, 54977, 50972, 54304, 51058, 56968, 50827, 55585, 51058, 50433, 64433, 51381, 70283, 53486 ]

[ 0, 250, 20902, 3495, 1619, 2214, 4246, 3459, 13305, 6, 21979, 13305, 6, 15054, 17838, 6, 21979, 9590, 6, 8, 17691, 28430, 4, 590, 10, 182, 1769, 20889, 8, 278, 11, 5, 762, 9, 211, 3694, 6, 42, 765, 2125, 7630, 6568, 6453, 9, 11098, 8, 26545, 149, 63, 15352, 30054, 2301, 4, 20, 1049, 33215, 16739, 10726, 9, 274, 6, 83, 406, 6, 211, 119, 6, 8, 272, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 50799, 50649, 57128, 52601, 50865, 51261, 51300, 51959, 50820, 52003, 52188, 55333, 52097, 55333, 51243, 53362, 51313, 55094, 56007, 50860, 51410, 51486, 51303, 51486, 51414, 51103, 50415, 52092, 50813, 52569, 51058, 59800, 72922, 51959, 64305, 52158, 53203, 53151, 51358, 51959, 51454, 52569, 50981, 60108, 51407, 50421, 60187, 55229, 52003, 51199, 50856, 52209, 52157, 56612, 74207, 51354, 51890, 51680, 50438, 51793, 50824, 53362, 51054, 52003, 51080, 51771, 51148, 52158, 51047, 55094, 51414, 51124, 51457, 79954, 52092, 51115, 50447, 51414, 51191, 51457, 51191, 51825, 70269, 51261, 50823, 55333, 51014, 50903, 51663, 57109, 51150, 50803, 53897, 67516, 51868, 50823, 56614, 51014, 50799, 52601, 50967, 51389, 51059, 52114, 52482, 53795, 51573, 53795, 51080, 51959, 51742, 52775, 52528, 51816, 52140, 55094, 56007, 50975, 51719, 51124, 51249, 51124, 51457, 51124, 50415, 59800, 56828, 51836, 51358, 55074, 51407, 51719, 51894, 51249, 51894, 51327, 51894, 50424, 59449, 55229, 52114, 50991, 50856, 52209, 51389, 50802, 53795, 50923, 50434, 53359, 53913, 51216, 51029, 56887, 51552, 50439, 53795, 51103, 50442, 53359, 50915, 50446, 52114, 51377, 50450, 51816, 50917, 52092, 50873, 52775, 51172, 50903, 51663, 57109, 51959, 58298, 51522, 50802, 67497, 50923, 50458, 52092, 50942, 53458, 51029, 51771, 51177, 53168, 52059, 51890, 52059, 52158, 51043, 56734, 51552, 55094, 51231, 51307, 51414, 51307, 51457, 51307, 50421, 56734, 51623, 50425, 53916, 50818, 62545, 52630, 52601, 50865, 53168, 51124, 61626, 54973, 50818, 56007, 66057, 59800, 64362, 52003, 59517, 53883, 50983, 51098, 50802, 56734, 50923, 61091, 51029, 50433, 59613, 65625, 51890, 58020, 51389, 51300, 53168, 51412, 51771, 50943, 52003, 51448, 53795, 52097, 55094, 50446, 52158, 54058, 52601, 51048, 53168, 51101, 51771, 51177, 50903, 51663, 50818, 56007, 51072, 50451, 59800, 67239, 52158, 50813, 50799, 51836, 50983, 51150, 50993, 53897, 51460, 52951, 51645, 51959, 50995, 53897, 52441, 51771, 51283, 52647, 55002, 55094, 55074, 73072, 59449, 54892, 51687, 73439, 51150, 50993, 52092, 50849, 53897, 51460, 52951, 51221, 63338, 51231, 56217, 51414, 51591, 51327, 68233, 53897, 58020, 52032, 51048, 51930, 50993, 52647, 51100, 52775, 51060, 52158, 51101, 53643, 52482, 55407, 51460, 55407, 50807, 55978, 51072, 51687, 51103, 51719, 51103, 50439, 61891, 74510, 53409, 51836, 51048, 51522, 50993, 52114, 50987, 52647, 50977, 52775, 50893, 52609, 50974, 55953, 54848, 67497, 51460, 50903, 51695, 52990, 50818, 55074, 51072, 50451, 59449, 64963, 52114, 50904, 52647, 50833, 52775, 61145, 52114, 55002, 50799, 52601, 51048, 51261, 51059, 53168, 52460, 51890, 51738, 55333, 51573, 55333, 51381, 52003, 53280, 61891, 59275, 50817, 56007, 51072, 51410, 51189, 51414, 67697, 59800, 70394, 51771, 56800, 53151, 51048, 63338, 60108, 51072, 51303, 50914, 51414, 78958, 51890, 51008, 53168, 51006, 60187, 64362, 51771, 53627, 51261, 50803, 55333, 50894, 61891, 63633, 53643, 51542, 52126, 51965, 51816, 51562, 50435, 52571, 52841, 56065, 50967, 51216, 51059, 56887, 51573, 55845, 59275, 50817, 57010, 50975, 52102, 51103, 51249, 51103, 50439, 56887, 51419, 60072, 54586, 51231, 51189, 50447, 53883, 50991, 61091, 50993, 50448, 59613, 55245, 53359, 51215, 50903, 51663, 57109, 53643, 58603, 51216, 50802, 56887, 50923, 55845, 67076, 51771, 50866, 50799, 53343, 50967, 51150, 51009, 53897, 51330, 52951, 51419, 52114, 51391, 52647, 51241, 53897, 51527, 59449, 59275, 50817, 60252, 50975, 51687, 51189, 51231, 51189, 50415, 59470, 70394, 51771, 51177, 50423, 53883, 51091, 61091, 51059, 52303, 51124, 50424, 59613, 55229, 53168, 72875, 52209, 51476, 50849, 51687, 50849, 51231, 59628, 53897, 60663, 51327, 60831, 52951, 50857, 52609, 53813, 52601, 51048, 51140, 51300, 52126, 51008, 52092, 50925, 55516, 52097, 56737, 59275, 50817, 56007, 51072, 53075, 51103, 51249, 73700, 51816, 50827, 59800, 67562, 55516, 60866, 51836, 51048, 51771, 50917, 53359, 50838, 52647, 51079, 51959, 61073, 51663, 50818, 55074, 51072, 51303, 50914, 51457, 70390, 59449, 64963, 53362, 74651, 55333, 54532, 50799, 53151, 51161, 51261, 51029, 52003, 50908, 52092, 50915, 52569, 51097, 51816, 51241, 51959, 51679, 55333, 51552, 51890, 52062, 61891, 59275, 51759, 52990, 50818, 60108, 51352, 51249, 51413, 51457, 51413, 51825, 51413, 50415, 60187, 55229, 52003, 51173, 50856, 57318, 52092, 54053, 51793, 50802, 53362, 50923, 60187, 61689, 53464, 56579, 51303, 62657, 51959, 52444, 51668, 51029, 64904, 51351, 64904, 51552, 52609, 53577, 52427, 51477, 64869, 59275, 51663, 50818, 51651, 51413, 51672, 51413, 51825, 51413, 51180, 63228, 52092, 70147, 55953, 51124, 50903, 51695, 52990, 52349, 53262, 50802, 64904, 50813, 58195, 50923, 62708, 59275, 53736, 50856, 56904, 52951, 51480, 53897, 51391, 50799, 53883, 51060, 51150, 50824, 52627, 51242, 53897, 51054, 52158, 51283, 51771, 51878, 59449, 59275, 54831, 51663, 50818, 61091, 50976, 51414, 51189, 51980, 51189, 51981, 51189, 50415, 59613, 54892, 51553, 70394, 53883, 51060, 52569, 50838, 61091, 71659, 59613, 55229, 52078, 50802, 52951, 50858, 53168, 50923, 59613, 60290, 54013, 53234, 50374, 53823, 64362, 53883, 50800, 61091, 57925, 59613, 54151, 53262, 50802, 58195, 50923, 62708, 50928, 51231, 68233, 52092, 57181, 53883, 50800, 61091, 52674, 59613, 54968, 53916, 51291, 51793, 50802, 53362, 50923, 53464, 51397, 60187, 59275, 57167, 54973, 50818, 62545, 51300, 51249, 51191, 52109, 51191, 50439, 55516, 51351, 61626, 54586, 51140, 51029, 55516, 51552, 56737, 64807, 52775, 51484, 51816, 51484, 52647, 51199, 51955, 51759, 52990, 50818, 51303, 51486, 50451, 53359, 55670, 51249, 50849, 52109, 67164, 53362, 51203, 51621, 52990, 57319, 51836, 50811, 55074, 56628, 53916, 50811, 59449, 50949, 62545, 50811, 54204, 51059, 57324, 53753, 52003, 51142, 51890, 51008, 55333, 51824, 51816, 50866, 51959, 50866, 52092, 50917, 55333, 51573, 61626, 50949, 61891, 50928, 59800, 54902, 51695, 50884, 51414, 51103, 50415, 52601, 50860, 56007, 50860, 50416, 59800, 54892, 71800, 51742, 50423, 53151, 51407, 60108, 51407, 50424, 60187, 55229, 55333, 52731, 52003, 51254, 51890, 51174, 53362, 50845, 51816, 50905, 51959, 50838, 52092, 57594, 52209, 51261, 50802, 55333, 50923, 61891, 61689, 55333, 51148, 50437, 51984, 50811, 56805, 50962, 59623, 54114, 51793, 50993, 51959, 50827, 51816, 51051, 52092, 50878, 52569, 50933, 52003, 52482, 53362, 51460, 60187, 59275, 50817, 51303, 50914, 51414, 51591, 51457, 51103, 50446, 51959, 51194, 52092, 51233, 51816, 51534, 50447, 51890, 52482, 50450, 51261, 50802, 50726, 50297, 50981, 55333, 50923, 61891, 50928, 56737, 63972, 51663, 56086, 52003, 66704, 51150, 50803, 53897, 50894, 59449, 50928, 51825, 62355, 51868, 50803, 51816, 50864, 56614, 50894, 61626, 50928, 51303, 63357, 51771, 50864, 50799, 52601, 50975, 51389, 51009, 50726, 50298, 51677, 53795, 51527, 59800, 50928, 65255, 54902, 50817, 56007, 50975, 51719, 51103, 50415, 53795, 50805, 52775, 51060, 59800, 70394, 51771, 50937, 56805, 63867, 51836, 51009, 55074, 51009, 50424, 59449, 55229, 57324, 51363, 53362, 50925, 59800, 54493, 50818, 51249, 51486, 51327, 51486, 50427, 52609, 72300, 51816, 51127, 52775, 51145, 50435, 57496, 51742, 59449, 52896, 65206, 56887, 51054, 55845, 59275, 50817, 51719 ]

[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 25306, 5466, 6, 3820, 19, 9066, 8, 28339, 223, 34693, 4, 20, 6755, 12547, 6, 20535, 2810, 6, 8, 30062, 620, 7085, 12280, 642, 35810, 561, 10, 5797, 990, 1506, 9, 2369, 6, 2351, 10, 1472, 9, 2821, 16235, 8, 10603, 4, 8504, 11, 5, 762, 9, 274, 3694, 8, 3185, 30, 41, 12447, 1001, 20889, 6, 42, 2125, 22848, 10, 5544, 33215, 16739, 6, 1271, 5581, 7, 63, 5386, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 54124, 50883, 52198, 50883, 56483, 50883, 51755, 59872, 55404, 54444, 60647, 50801, 59872, 55404, 54444, 50936, 53924, 50883, 52594, 60281, 50804, 50883, 51658, 59872, 55404, 54444, 59357, 50801, 59872, 55404, 54444, 50936, 51755, 59872, 50936, 54074, 50936, 63311, 50883, 54519, 63267, 50804, 53336, 50804, 50883, 53951, 50883, 53327, 50883, 57363, 50883, 51302, 50883, 59493, 50883, 54321, 60759, 50804, 52975, 50804, 50883, 53924, 50883, 52594, 60281, 50804, 50883, 51658, 59872, 55404, 54444, 59357, 50801, 59872, 55404, 54444, 50936, 55669, 50936, 51641, 51045, 51579, 51045, 52336, 51045, 52339, 51014, 51968, 51014, 51866, 51014, 52178, 51014, 55145, 50921, 52695, 51045, 51946, 51045, 52032, 51045, 53951, 50846, 51641, 50828, 51579, 50828, 52336, 50828, 52339, 50828, 51968, 50828, 51866, 50828, 52178, 50828, 55145, 50828, 52695, 50828, 51946, 50828, 52032, 50828, 57453, 50846, 51641, 50828, 51579, 50828, 52336, 50828, 52339, 50828, 51968, 50828, 51866, 50828, 52178, 50828, 55145, 50828, 52695, 50828, 51946, 50828, 52032, 50828, 51302, 50936, 51641, 51226, 51579, 51226, 52336, 51226, 52339, 51226, 51968, 51226, 51866, 51226, 52178, 51226, 55145, 51226, 52695, 51226, 51946, 51226, 52032, 51226, 55258, 50812, 51744, 50821, 52264, 50821, 53147, 50821, 53175, 50821, 52384, 50821, 52377, 50821, 53084, 50821, 57538, 50821, 53064, 50821, 52541, 50821, 53339, 50821, 53526, 50808, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 51382, 50808, 51744, 50821, 52264, 50821, 53147, 50821, 53175, 50821, 52384, 50821, 52377, 50821, 53084, 50821, 57538, 50821, 53064, 50821, 52541, 50821, 53339, 50821, 55350, 50808, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 54124, 50812, 51744, 50821, 52264, 50821, 53147, 50821, 53175, 50821, 52384, 50821, 52377, 50821, 53084, 50821, 57538, 50821, 53064, 50821, 52541, 50821, 53339, 50821, 55669, 50936, 51641, 51045, 51579, 51045, 52336, 51045, 52339, 50921, 51968, 50921, 51866, 50921, 52178, 50921, 55145, 50921, 52695, 51045, 51946, 51045, 52032, 51045, 53951, 50846, 51641, 50828, 51579, 50828, 52336, 50828, 52339, 50828, 51968, 50828, 51866, 50828, 52178, 50828, 55145, 50841, 52695, 50828, 51946, 50828, 52032, 50828, 57453, 50846, 51641, 50828, 51579, 50828, 52336, 50828, 52339, 50828, 51968, 50828, 51866, 50828, 52178, 50828, 55145, 50841, 52695, 50828, 51946, 50828, 52032, 50828, 51302, 50812, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 57096, 50833, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 53924, 50812, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 52877, 50804, 50812, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 55258, 50833, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 53526, 50812, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 51382, 50812, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 55145, 50821, 52695, 50821, 51946, 50821, 52032, 50821, 55350, 50812, 51641, 50821, 51579, 50821, 53266, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 54017, 50821, 52695, 50821, 51946, 50821, 54124, 50812, 51641, 50821, 52264, 50821, 51702, 50821, 52377, 50821, 54885, 50821, 52695, 50821, 52541, 50821, 55669, 50948, 51641, 51014, 51579, 51014, 52336, 51014, 52339, 50921, 51968, 50921, 51866, 50921, 52178, 50921, 55145, 50921, 52695, 51014, 51946, 51014, 52032, 51014, 53951, 50828, 51641, 50828, 51579, 50828, 52336, 50828, 52339, 50828, 51968, 50828, 51866, 50828, 52178, 50828, 55145, 50828, 52695, 50828, 51946, 50828, 52032, 50828, 57453, 50828, 51641, 50828, 51579, 50828, 52336, 50828, 52339, 50828, 51968, 50828, 51866, 50828, 52178, 50828, 55145, 50828, 52695, 50828, 51946, 50828, 52032, 52905, 50801, 59872, 55404, 50883, 51641, 51226, 51579, 51226, 52336, 51226, 52339, 51226, 51968, 51226, 51866, 51226, 52178, 51226, 55145, 51226, 52695, 51226, 51946, 51226, 52032, 51226, 59493, 50883, 54321, 60759, 50804, 52975, 50804, 50883, 53924, 50883, 52594, 60281, 50804, 50883, 51658, 59872, 55404, 50936, 51206, 58111, 50631, 52481, 50821, 51426, 50821, 51395, 64380, 50630, 50454, 51699, 74567, 50821, 51182, 61981, 77961, 72159, 51394, 50821, 56236, 51299, 51585, 51093, 51585, 51304, 51585, 51302, 50936, 51431, 51014, 51509, 51014, 52264, 51014, 53456, 50936, 51947, 50936, 51702, 50936, 52377, 50936, 53994, 50921, 52338, 51014, 51996, 51014, 52541, 51014, 53924, 50828, 51431, 50828, 51509, 50828, 52264, 50828, 53456, 50828, 51947, 50828, 51702, 50828, 52377, 50828, 53994, 50828, 52338, 50828, 51996, 50828, 52541, 50828, 55935, 50828, 51431, 50828, 51509, 50828, 52264, 50828, 53456, 50846, 51947, 50846, 51702, 50846, 52377, 50846, 53994, 50828, 52338, 50828, 51996, 50828, 52541, 53219, 50804, 50883, 51431, 50896, 51509, 50896, 52264, 50896, 53456, 50896, 51947, 50896, 51702, 50896, 52377, 50896, 53994, 50914, 52338, 50896, 51996, 50896, 52541, 50896, 60409, 50895, 53012, 50895, 62177, 53806, 63536, 53526, 50818, 52612, 50846, 57048, 50846, 51382, 50812, 51887, 50821, 51154, 50821, 51201, 74362, 52316, 50821, 51375, 50821, 51629, 61981, 51299, 68896, 50821, 51304, 50821, 50799, 51426, 51585, 51395, 51585, 51811, 51585, 51302, 50936, 51431, 51045, 51641, 51045, 52264, 51045, 53542, 50936, 51947, 50936, 51968, 50936, 52377, 50936, 54017, 50917, 52338, 51045, 52695, 51045, 52541, 51045, 53924, 50828, 51431, 50841, 51641, 50841, 52264, 50841, 53542, 50828, 51947, 50828, 51968, 50828, 52377, 50828, 54017, 50828, 52338, 50841, 52695, 50841, 52541, 50841, 55935, 50828, 51431, 50841, 51641, 50841, 52264, 50841, 53542, 50828, 51947, 50828, 51968, 50828, 52377, 50828, 54017, 50828, 52338, 50841, 52695, 50841, 52541, 53116, 50804, 50883, 51723, 50896, 51485, 50896, 52264, 50896, 52339, 50896, 52058, 50896, 52377, 50896, 54017, 50914, 54277, 50896, 52665, 50896, 51996, 50896, 52541, 50896, 60409, 50895, 53012, 50884, 62177, 52210, 63536, 53526, 50846, 52612, 50828, 57048, 53035, 50629, 50804, 50812, 51887, 50821, 51154, 50821, 51201, 64380, 50628, 50452, 50628, 50453, 50628, 50454, 50627, 52316, 50821, 51375, 50821, 51629, 52935, 50627, 50457, 50627, 50458, 52065, 50821, 51357, 50821, 51558, 50821, 56236, 51426, 51469, 51395, 51469, 51811, 51469, 50416, 50627, 50426, 51641, 50821, 51579, 50821, 52336, 50821, 52339, 50821, 51968, 50821, 51866, 50821, 52178, 50821, 54017, 50812, 52695, 50821, 51946, 50821, 52032, 67757, 51723, 50821, 51641 ]

[ 0, 250, 15352, 30054, 8, 14899, 5175, 3495, 2214, 4246, 3459, 13305, 6, 13305, 6, 21072, 6, 21979, 8669, 6, 8, 36075, 8669, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 20425, 12447, 1001, 20889, 1328, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 3676, 401, 6, 274, 10431, 119, 6, 8, 3676, 3639, 7, 63, 33200, 2365, 3618, 930, 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 ]

[ 58402, 50447, 51326, 53688, 51326, 54166, 51289, 50375, 53183, 50809, 50799, 53643, 52208, 51771, 52208, 52158, 52208, 63240, 52500, 53599, 51036, 51794, 51036, 51165, 51655, 77991, 51036, 55080, 51036, 53361, 51655, 51040, 51696, 50861, 51696, 50906, 51696, 51925, 50372, 53290, 58059, 53597, 50586, 53376, 50588, 50808, 51317, 52208, 50929, 52208, 51064, 52208, 50420, 52834, 59677, 53899, 52834, 71517, 52872, 51925, 77024, 58255, 51845, 50367, 53290, 59716, 51845, 52742, 51925, 50372, 53290, 57917, 53867, 53027, 51845, 60571, 53867, 59667, 53166, 51925, 58207, 53867, 53556, 52834, 59677, 50369, 52438, 61736, 51845, 50891, 50799, 52114, 52208, 51771, 52208, 52158, 52208, 56324, 52392, 52143, 51036, 51299, 51036, 51088, 51655, 67375, 51036, 53460, 51036, 52507, 51655, 50900, 51696, 50861, 51696, 50906, 51696, 51925, 50372, 53290, 59874, 71611, 53597, 50588, 50812, 50986, 52208, 50929, 52208, 51064, 52208, 50420, 52834, 59677, 55375, 52834, 59430, 52872, 51925, 66624, 55487, 51845, 78090, 57869, 51845, 53018, 51925, 50370, 53290, 63780, 53867, 52875, 51845, 54492, 53867, 57975, 69185, 53886, 51925, 67926, 58759, 53867, 53556, 51845, 74556, 73511, 74884, 52834, 54603, 51845, 50372, 51985, 50886, 50799, 58195, 52208, 53643, 52208, 52647, 52208, 52609, 52208, 60712, 53241, 55472, 51036, 51794, 51036, 51375, 51655, 50740, 50286, 51036, 55080, 51036, 54165, 51655, 51378, 51696, 51040, 51696, 50956, 51696, 50965, 51696, 51925, 50372, 53290, 58059, 53597, 50586, 78621, 52028, 52208, 51317, 52208, 51136, 52208, 51169, 52208, 50420, 52834, 59677, 53899, 52834, 71517, 52872, 51925, 77024, 58255, 51845, 50367, 53290, 59716, 51845, 52742, 51925, 50372, 53290, 57917, 53867, 53027, 51845, 60571, 53867, 59667, 53166, 51925, 58207, 53867, 53556, 52834, 59677, 50369, 52438, 61736, 51845, 50891, 50799, 53362, 52208, 52114, 52208, 51890, 51527, 52158, 51527, 54941, 51472, 52907, 50918, 51299, 51036, 51154, 50918, 51165, 51336, 50740, 50285, 50918, 53460, 51036, 52693, 50918, 53361, 51336, 51050, 51696, 50900, 51696, 50871, 51356, 50906, 51356, 51925, 50372, 53290, 59874, 68399, 53376, 50588, 50854, 51504, 52208, 50986, 52208, 50970, 51527, 51064, 51527, 50420, 52834, 59677, 55375, 52834, 59430, 52872, 51925, 66624, 55487, 51845, 78090, 57869, 51845, 53018, 56805, 51014, 55953, 51014, 52003, 51014, 51771, 51014, 51959, 51014, 58577, 50948, 52316, 50830, 51251, 72069, 50830, 71722, 60558, 60558, 63476, 63476, 59166, 59166, 65143, 50830, 52583, 50830, 52507, 50830, 53465, 50830, 51315, 50940, 51176, 50940, 50899, 50940, 76326, 74873, 51925, 54538, 52634, 50381, 53830, 63376, 55190, 50808, 51574, 51021, 51846, 51021, 50960, 51021, 50929, 51021, 50441, 53867, 52875, 51845, 54492, 53867, 57975, 52743, 56805, 50894, 55953, 50894, 52003, 50894, 51771, 50894, 51959, 50894, 58577, 50924, 52316, 50800, 75848, 66194, 70051, 67244, 67244, 51211, 51012, 51211, 51012, 51849, 50923, 51849, 50923, 65143, 50800, 52583, 50800, 52507, 50800, 53465, 50800, 51315, 50858, 51176, 69266, 50858, 64782, 50876, 78832, 54518, 54898, 50809, 51574, 51014, 51846, 51014, 50960, 51014, 50929, 51014, 50453, 53867, 53556, 51845, 50369, 52438, 74884, 52834, 54603, 51845, 50837, 50799, 53359, 50807, 52114, 50807, 52126, 50807, 60514, 50936, 51622, 51352, 51622, 51352, 53549, 51352, 53549, 51352, 52219, 51163, 50849, 51131, 50983, 50986, 50983, 50998, 60055, 60514, 74099, 53065, 50849, 55618, 54689, 60435, 56867, 53417, 53308, 56324, 77824, 53065, 50901, 53198, 55108, 60514, 64182, 55945, 55009, 50795, 52003, 50795, 52775, 55154, 55234, 51370, 50805, 51311, 51060, 50960, 51060, 51078, 51060, 53721, 50971, 51899, 53417, 55670, 52114, 50807, 52126, 50807, 51771, 61559, 55316, 50845, 50986, 50983, 50998, 50983, 50929, 50983, 53341, 50971, 51755, 56189, 55689, 60514, 80144, 50867, 55618, 54689, 60435, 53757, 55185, 53308, 55009, 51091, 52003, 51091, 52775, 51091, 56324, 80144, 53065, 50901, 51311, 50983, 50960, 50983, 51078, 50983, 53198, 55108, 60514, 54444, 55945, 56324, 51030, 50913, 55234, 52201, 50901, 53721, 55256, 60435, 57725, 52808, 55670, 61685, 51030, 50913, 55316, 50849, 53341, 50971, 50799, 53359, 50807, 52114, 50807, 52126, 50807, 60514, 50948, 52636, 50901, 51131, 50983, 50986, 50983, 50998, 60055, 60514, 80144, 50867, 55618, 54689, 60435, 53757, 53417, 52605, 56324, 69046, 53065, 50805, 53198, 55108, 60514, 63986, 55322, 55009, 50795, 52003, 50795, 52775, 55154, 55234, 51370, 50805, 51311, 51060, 50960, 51060, 51078, 51060, 53721, 50971, 51899, 76375, 52114, 50807, 52126, 50807, 51771, 50807, 60514, 51158, 50913, 55316, 50849, 50986, 50983, 50998, 50983, 50929, 50983, 53341, 50971, 51755, 57396, 55689, 60514, 80144, 50867, 55618, 54689, 60435, 57321, 55185, 53387, 55009, 51091, 52003, 51091, 52775, 51091, 56324, 50936, 50913, 53065, 50901, 51311, 50983, 50960, 50983, 51078, 50983, 53198, 55108, 60514, 55271, 52815, 56324, 80144, 56394, 51730, 53734, 50901, 53721, 55256, 60435, 57725, 52201, 53702, 61685, 80144, 55316, 50873, 53341, 50971, 50799, 53359, 50807, 52114, 50807, 52126, 50807, 60514, 50936, 52636, 50849, 51131, 50983, 50986, 50983, 50998, 60055, 60514, 66857, 77824, 50867, 55618, 54689, 60435, 71447, 53757, 53417, 52605, 56324, 50795, 51840, 77824, 53065, 50849, 53198, 55108, 60514, 50967, 51439, 51575, 55322, 55009, 50818, 52003, 50818, 52775, 50818, 51840, 77824, 55234, 52839, 50849, 51311, 51060, 50960, 51060, 51078, 51060, 53721, 55256, 51007, 53757, 53417, 52961, 52114, 50991, 52126, 50991, 51771, 50991, 50909, 77824, 55316, 50901, 50986, 50983, 50998, 50983, 50929, 50983, 53341, 50971, 51755, 54791, 55099, 60514, 50948, 51649, 77824, 50867, 55618, 54689, 60435, 53757, 55185, 54259, 55009, 51091, 52003, 51091, 52775, 51091, 56324, 50948, 51439, 77824, 53065, 50901, 51311, 50983, 50960, 50983, 51078, 50983, 53198, 55108, 60514, 54444, 53969, 56324, 50948, 51840, 77824, 55234, 53417, 50849, 53721, 55256, 60435, 50924, 51007, 72880, 52201, 55670, 61685, 50936, 50913, 55316, 50805, 53341, 50971, 50799, 53359, 50807, 52114, 50807, 52126, 50807, 60514, 50948, 52506, 50849, 51131, 50983, 50986, 50983, 50998, 60055, 60514, 50948, 51149, 77824, 50867, 55618, 54689, 60435, 56548, 53757, 53417, 53387, 56324, 62289, 77824, 53065, 50805, 53198, 55108, 60514, 60397, 53969, 55009, 50818, 52003, 50818, 52775, 73352, 77824, 55234, 54042, 50901, 51311, 51060, 50960, 51060, 51078, 51060, 53721, 55256, 50850, 53757, 76375, 52114, 50991, 52126, 50991, 51771, 50991, 60514, 61282, 51196, 50913, 55316, 50849, 50986, 50983, 50998, 50983, 50929, 50983, 53341, 50971, 51755, 52227, 55689, 60514, 74099, 50867, 55618, 54689, 60435, 57438, 59964, 54777, 55009, 51091, 52003, 51091, 52775, 51091, 56324, 65129, 53065, 50805, 51311, 50983, 50960, 50983, 51078, 50983, 53198, 55108, 60514, 55271, 55322, 56324, 51030, 50913, 55234, 54042, 50873, 53721, 55256, 60435, 57725, 53417, 55345, 61685, 50936, 50913, 55234, 67617, 53341, 50971, 50799, 53359, 50807, 52114, 50807, 52126, 50807, 60514, 50936, 51976, 50873, 51131, 50983, 50986, 50983, 50998, 60055, 60514, 71936, 77824, 50867, 55618, 54689, 60435, 71447, 53757, 53417, 52605, 56324, 50795, 51840, 77824, 53065, 50849, 53198, 55108, 60514, 51379, 51439 ]

[ 0, 250, 20902, 8, 15352, 30054, 5175, 2125, 19, 15855, 16882, 6, 4246, 10, 13305, 14, 1974, 41, 20425, 8859, 11, 5, 762, 9, 163, 428, 538, 23, 41, 12447, 1001, 20889, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 33215, 16739, 9, 163, 428, 406, 6, 2060, 6, 12608, 401, 6, 12608, 119, 1176, 406, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50444, 50906, 51798, 50876, 51923, 51028, 50795, 58526, 63333, 50918, 51001, 50918, 78523, 51628, 50956, 51724, 51197, 51820, 50965, 56645, 53658, 50900, 51757, 57031, 51001, 52809, 55179, 51028, 51923, 50956, 52567, 50861, 51358, 51001, 51358, 58526, 52296, 50900, 51628, 50956, 51724, 51197, 52831, 51197, 51820, 51028, 57367, 53658, 51197, 51757, 51197, 77724, 78858, 52809, 50968, 57022, 51923, 51120, 52567, 51147, 51358, 50931, 51358, 57497, 52296, 51176, 51628, 50871, 51724, 51085, 51820, 50951, 63627, 53658, 51176, 51757, 57061, 51147, 52809, 51001, 50991, 50951, 59592, 50956, 50800, 54662, 50800, 51147, 50807, 51405, 62405, 51050, 51620, 50931, 50807, 51399, 53182, 51040, 51724, 51197, 50800, 51147, 53218, 50906, 60785, 51176, 51757, 50876, 62244, 53312, 50956, 50800, 51028, 50845, 58526, 63333, 50918, 51001, 50918, 78523, 51628, 50956, 51724, 51197, 51820, 50965, 56645, 53658, 50900, 51757, 57031, 51001, 52809, 55179, 51028, 51923, 50956, 52567, 50861, 51358, 51001, 51358, 58526, 52296, 50900, 51628, 50956, 51724, 51197, 52831, 51197, 51820, 51001, 53658, 51197, 51757, 51197, 78858, 51923, 51315, 72355, 50795, 54197, 50800, 51147, 51835, 51147, 52296, 51176, 51620, 51147, 51628, 50900, 66303, 52262, 50902, 51724, 50997, 52831, 50902, 52513, 50902, 51757, 50997, 64441, 51754, 51197, 50800, 57061, 54197, 50800, 51147, 51835, 51147, 52296, 51176, 51620, 51147, 51628, 50900, 66303, 52262, 50902, 51724, 50997, 52831, 50902, 52513, 50902, 51757, 50997, 77724, 51754, 63049, 61097, 55881, 78858, 50983, 50423, 51378, 51628, 50997, 77724, 57222, 51197, 51798, 50997, 56730, 50807, 58526, 57981, 52910, 51176, 54666, 52424, 51176, 56730, 52728, 51176, 54666, 50807, 54662, 59123, 50918, 50423, 51050, 51628, 50997, 51724, 51085, 54789, 50876, 59323, 51026, 56730, 52809, 50877, 54093, 50906, 51358, 54868, 52296, 51050, 51628, 50997, 51724, 51197, 54789, 50876, 59323, 51026, 56730, 52809, 50877, 54093, 50902, 50795, 54868, 53504, 51001, 51835, 50931, 52296, 51026, 50800, 51147, 51620, 50951, 52765, 50906, 51628, 50876, 52262, 50902, 51724, 51085, 78858, 52831, 50968, 51820, 51001, 52513, 51050, 59123, 51757, 50876, 52809, 50965, 51754, 50861, 52567, 63282, 54662, 57722, 51161, 50423, 51050, 51724, 51234, 52513, 51050, 51754, 50906, 52567, 57213, 54868, 78858, 53504, 50902, 51835, 50931, 52296, 63049, 51062, 51620, 51220, 52765, 50902, 51628, 51001, 52262, 50931, 51724, 51085, 50800, 51147, 52831, 51114, 51820, 51001, 52513, 51050, 78858, 51757, 50965, 52809, 50861, 51754, 50871, 52567, 50956, 50800, 54868, 57722, 50918, 50423, 51050, 51628, 50997, 51724, 51214, 51918, 50861, 51798, 51026, 59006, 52809, 50956, 54093, 50871, 51161, 53997, 52296, 51197, 51628, 51026, 51724, 51247, 51918, 50861, 51798, 51197, 59006, 52809, 50956, 54093, 50871, 50800, 54197, 63656, 51161, 62275, 51918, 50906, 54323, 50876, 55670, 51028, 50845, 58526, 63333, 50918, 51001, 50918, 78523, 51628, 50956, 51724, 51197, 51820, 50965, 56645, 53658, 50900, 51757, 57031, 51001, 52809, 55179, 51028, 51923, 50956, 52567, 50861, 51358, 51001, 51358, 58526, 52296, 50900, 51628, 50956, 51724, 51197, 52831, 51197, 51820, 51028, 57367, 53658, 51197, 51757, 51197, 77724, 78858, 52809, 50968, 57022, 51923, 51120, 52567, 51147, 51358, 50931, 51358, 57497, 52296, 51176, 51628, 50871, 51724, 51085, 51820, 50951, 63627, 53658, 51176, 51757, 57061, 51147, 52809, 51001, 50991, 50951, 59592, 50956, 50800, 54662, 50800, 51147, 50807, 51405, 62405, 51050, 51620, 50931, 50807, 51399, 53182, 51040, 51724, 51197, 50800, 51147, 53218, 50906, 57060, 51176, 51757, 50876, 62244, 53312, 50956, 50800, 51028, 50845, 58526, 63333, 50918, 51001, 50918, 78523, 51628, 50956, 51724, 51197, 51820, 50965, 56645, 53658, 50900, 51757, 57031, 51001, 52809, 55179, 51028, 51923, 50956, 52567, 50861, 51358, 51001, 51358, 58526, 52296, 50900, 51628, 50956, 51724, 51197, 52831, 51197, 51820, 51001, 53658, 51197, 51757, 51197, 78858, 51923, 51315, 72355, 50795, 54197, 50800, 51147, 51835, 51147, 52296, 51176, 51620, 51147, 51628, 50900, 66303, 52262, 50902, 51724, 50997, 52831, 50902, 52513, 50902, 51757, 50997, 64441, 51754, 51197, 50800, 57061, 54197, 50800, 51147, 51835, 51147, 52296, 51176, 51620, 51147, 51628, 50900, 66303, 52262, 50902, 51724, 50997, 52831, 50902, 52513, 50902, 51757, 50997, 77724, 51754, 63049, 61097, 55881, 78858, 50983, 50423, 51378, 51628, 50997, 77724, 57222, 51197, 51798, 50997, 56730, 50807, 58526, 57981, 52910, 51176, 54666, 52424, 51176, 56730, 52728, 51176, 54666, 50807, 54662, 59123, 50918, 50423, 51050, 51628, 50997, 51724, 51085, 54789, 50876, 59323, 51026, 56730, 52809, 50877, 54093, 50906, 51358, 54868, 52296, 51050, 51628, 50997, 51724, 51197, 54789, 50876, 59323, 51026, 56730, 52809, 50877, 54093, 50902, 50795, 54868, 53504, 51001, 51835, 50931, 52296, 51026, 50800, 51147, 51620, 50951, 52765, 50906, 51628, 50876, 52262, 50902, 51724, 51085, 78858, 52831, 50968, 51820, 51001, 52513, 51050, 59123, 51757, 50876, 52809, 50965, 51754, 50861, 52567, 63282, 54662, 57722, 51161, 50423, 51050, 51724, 51234, 52513, 51050, 51754, 50906, 52567, 57213, 54868, 78858, 53504, 50902, 51835, 50931, 52296, 63049, 51062, 51620, 51220, 52765, 50902, 51628, 51001, 52262, 50931, 51724, 51085, 50800, 51147, 52831, 51114, 51820, 51001, 52513, 51050, 78858, 51757, 50965, 52809, 50861, 51754, 50871, 52567, 50956, 50800, 54868, 57722, 50918, 50423, 51050, 51628, 50997, 51724, 51214, 51918, 50861, 51798, 51026, 59006, 52809, 50956, 54093, 50871, 51161, 53997, 52296, 51197, 51628, 51026, 51724, 51247, 51918, 50861, 51798, 51197, 59006, 52809, 50956, 54093, 50871, 50800, 54197, 63656, 51161, 62275, 51918, 50906, 56697, 50876, 53586, 51028, 50901, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 15855, 2125, 6, 533, 341, 11, 10, 19834, 6, 4246, 41, 21979, 8669, 816, 10, 19448, 8, 5679, 26709, 33301, 4, 20, 2214, 16, 11, 211, 3694, 19, 10, 132, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 4, 85, 7630, 6568, 6453, 9, 11098, 8, 657, 6, 442, 24, 10686, 13, 10, 1144, 26016, 1310, 11, 10, 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 ]

[ 69434, 51207, 52864, 67830, 51064, 52483, 67830, 51064, 52605, 51131, 50805, 51034, 51246, 52864, 67830, 51064, 52483, 50960, 52605, 67830, 51064, 52446, 50986, 52815, 67669, 66309, 51057, 51207, 52864, 67830, 51064, 52483, 67830, 51064, 52605, 51131, 50805, 51034, 51246, 52864, 67830, 51064, 52483, 50960, 52605, 67830, 51064, 52446, 51136, 52815, 63755, 66309, 51057, 50986, 52864, 63755, 50947, 52483, 63755, 50947, 52605, 51136, 50805, 51034, 50960, 52864, 63755, 50947, 52483, 51246, 52605, 63755, 50947, 52446, 51207, 52815, 63755, 66309, 51057, 52562, 52864, 71821, 50929, 52483, 71821, 50929, 52605, 52562, 50805, 64857, 52864, 51246, 50805, 50986, 52483, 51725, 52605, 51131, 50805, 50960, 52446, 52012, 52815, 51207, 50805, 51136, 50805, 51057, 53271, 52864, 71821, 50929, 52483, 71821, 50929, 52605, 51725, 50805, 64857, 52864, 72429, 50929, 52483, 51504, 52605, 72429, 50929, 52446, 51574, 52815, 72429, 63755, 51057, 53271, 52864, 71821, 50929, 52483, 71821, 50929, 52605, 51725, 50805, 64857, 52864, 72429, 50929, 52483, 51504, 52605, 72429, 50929, 52446, 51574, 52815, 72429, 63755, 51057, 51504, 52864, 71821, 50929, 52483, 71821, 50929, 52605, 51207, 50805, 51034, 51246, 52864, 51136, 50805, 50929, 52483, 51131, 52605, 51136, 50805, 50929, 52446, 52012, 52815, 51136, 50805, 63755, 51057, 51725, 52864, 51136, 50805, 50929, 52483, 51136, 50805, 50929, 52605, 51444, 50805, 51034, 52562, 52864, 51136, 50805, 50929, 52483, 51207, 52605, 51136, 50805, 50929, 52446, 51504, 52815, 51136, 50805, 63755, 51057, 52012, 52864, 50986, 52483, 50960, 52605, 51136, 50805, 80264, 52864, 50929, 52483, 50970, 52605, 51032, 52446, 51444, 52815, 71821, 51057, 51207, 52864, 67830, 51064, 52483, 67830, 51064, 52605, 51131, 50805, 51034, 51246, 52864, 67830, 51064, 52483, 50960, 52605, 67830, 51064, 52446, 50986, 52815, 63755, 66309, 51057, 51207, 52864, 67830, 51064, 52483, 67830, 51064, 52605, 51131, 50805, 51034, 51246, 52864, 67830, 51064, 52483, 50960, 52605, 67830, 51064, 52446, 50986, 52815, 63755, 66309, 51057, 51207, 54243, 50960, 51077, 50970, 51077, 51064, 51077, 72262, 51207, 53912, 50960, 51077, 50970, 51077, 51064, 51077, 51038, 50426, 71888, 50269, 50786, 50414, 50960, 51538, 50970, 51538, 51064, 51538, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8787, 19834, 2125, 6, 19, 4785, 9, 5175, 930, 6, 7630, 6568, 10, 25306, 5466, 4, 85, 1575, 10, 6755, 12547, 6, 2382, 3459, 8669, 6, 24896, 6, 15679, 642, 1543, 6, 8, 2020, 3548, 6, 2351, 10, 11739, 9, 11098, 8, 26545, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 11498, 41, 178, 5285, 20889, 1328, 4, 20, 16331, 33215, 16739, 9, 230, 6, 274, 6, 230, 6, 8, 272, 3639, 10, 1472, 9, 30234, 8, 15352, 30054, 2868, 7, 42, 9066, 4388, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 66844, 51314, 50415, 50945, 51795, 50420, 51118, 51477, 50427, 51061, 52048, 50432, 51023, 51051, 50439, 51092, 51241, 50445, 51023, 51309, 50451, 51061, 67773, 51118, 50905, 70895, 66821, 51243, 51011, 61912, 51118, 52783, 50427, 51089, 50915, 50433, 51020, 51174, 50439, 51092, 51397, 50444, 51020, 51254, 50451, 51089, 51884, 50456, 51118, 50933, 54516, 73010, 51557, 70762, 51083, 55586, 50427, 51061, 51542, 50432, 51193, 51481, 50439, 51185, 51047, 50445, 51193, 75589, 51061, 51380, 50457, 51083, 51862, 50461, 51133, 51029, 51601, 51118, 78264, 51083, 51806, 50426, 51061, 51074, 50431, 50953, 52030, 51193, 59948, 51083, 51703, 50438, 51118, 52147, 51061, 51080, 50964, 51009, 52795, 51059, 50440, 51193, 56458, 51092, 54532, 50451, 54019, 51072, 66844, 51036, 56496, 60508, 50945, 54226, 51118, 52980, 50427, 51061, 51466, 56496, 63284, 51023, 51254, 50945, 52057, 51092, 51337, 50945, 80261, 56496, 52313, 51023, 51884, 54650, 58317, 51061, 51753, 54019, 52325, 51118, 51074, 63615, 53602, 50976, 66821, 51307, 51011, 51059, 52795, 58823, 51118, 52980, 50426, 51089, 51679, 50432, 51020, 50892, 51011, 50823, 52795, 55276, 51092, 51542, 51011, 51009, 52795, 52313, 51020, 51884, 50445, 54019, 65027, 51089, 66983, 51118, 50827, 50799, 51557, 51293, 74186, 52494, 64948, 51083, 52980, 50426, 51061, 51419, 50427, 52494, 60493, 51193, 51376, 51186, 57880, 52494, 60920, 51185, 50915, 51186, 57310, 51193, 66809, 51061, 51337, 50456, 51083, 51058, 52795, 50976, 50461, 51133, 51300, 74290, 51283, 52494, 51029, 50419, 51083, 51484, 50425, 51061, 51242, 50431, 51193, 52927, 63615, 52795, 62472, 51092, 50892, 52047, 51419, 52494, 50976, 56107, 63189, 52882, 64070, 52307, 59712, 51089, 50892, 50455, 52203, 58954, 56372, 50457, 51118, 51824, 52354, 50824, 52614, 51352, 50415, 51616, 51662, 50420, 51118, 52136, 50426, 51061, 79542, 51023, 51210, 50945, 52952, 51092, 51025, 50945, 53681, 51023, 51753, 50450, 51061, 51242, 71435, 52307, 58954, 51118, 50959, 52795, 50802, 68266, 51359, 77199, 52307, 51352, 50419, 51118, 52136, 50426, 51061, 51333, 50431, 51023, 53961, 50927, 52952, 51092, 51043, 50927, 54554, 51061, 51101, 51133, 51072, 52795, 58954, 51118, 50822, 54019, 50802, 54516, 50824, 52795, 51352, 50415, 51557, 51627, 50420, 51083, 51961, 50426, 51061, 51576, 50432, 51193, 51470, 51186, 52952, 51557, 51314, 51083, 51244, 51061, 51127, 51193, 51080, 51133, 50976, 50439, 51092, 54557, 50444, 50953, 52768, 70259, 54650, 51923, 54019, 50923, 66844, 50981, 50945, 51059, 51154, 52122, 56496, 61912, 51118, 51534, 50426, 51061, 50873, 50431, 51023, 54215, 50945, 57784, 51193, 50937, 51083, 56298, 51061, 51254, 51092, 50866, 52047, 51121, 51133, 50824, 51638, 51145, 50439, 51251, 77092, 50449, 51947, 58317, 50964, 51072, 50455, 53093, 62167, 53456, 50824, 66844, 51293, 64320, 51883, 51717, 50415, 51299, 51717, 50420, 51118, 52256, 50425, 53456, 66489, 51061, 51333, 50431, 51023, 54221, 50945, 57880, 53456, 61147, 51092, 51221, 50945, 51029, 50443, 53266, 62186, 51023, 56989, 51061, 51242, 53093, 60646, 57416, 52339, 58954, 51118, 51376, 50461, 51282, 51151, 51011, 51059, 51947, 51059, 70321, 51359, 50419, 51118, 52256, 50425, 51089, 50995, 50431, 51020, 50822, 51947, 54179, 51011, 57880, 51092, 51419, 51011, 51009, 51947, 50976, 50443, 51020, 51074, 53093, 51352, 50450, 51089, 77146, 51118, 71206, 74186, 51638, 51655, 50799, 51557, 51353, 51154, 53082, 50415, 51251, 50359, 50413, 50419, 51083, 69790, 51061, 51391, 50431, 77585, 52058, 54179, 51193, 52192, 50434, 51947, 61109, 51186, 60920, 51185, 50915, 52058, 51029, 50443, 51193, 51884, 50450, 51061, 51194, 50455, 51083, 51006, 52384, 50976, 50460, 51299, 52250, 74290, 51134, 51133, 51300, 51702, 51029, 50419, 51083, 52378, 50426, 51061, 51074, 50431, 52384, 52119, 67113, 57416, 50434, 51702, 61109, 51089, 51884, 50438, 51020, 50867, 52047, 51679, 50964, 51009, 52384, 63747, 51092, 51852, 51301, 51183, 50443, 52058, 76253, 52384, 59712, 51020, 51254, 50455, 51702, 55273, 51089, 57467, 51866, 66426, 50945, 51059, 51883, 51717, 51154, 52250, 66844, 51161, 50416, 52148, 51352, 50419, 51118, 52980, 50426, 51061, 67995, 51023, 51470, 50945, 52057, 51092, 51419, 50439, 50945, 63757, 51023, 53096, 50450, 51019, 51072, 52148, 66054, 51061, 52056, 50452, 51866, 64776, 51702, 55273, 51118, 79076, 51763, 51894, 51702, 51352, 52288, 51059, 51251, 53478, 50419, 51083, 51961, 50426, 51061, 51419, 50432, 51023, 51884, 50927, 52952, 51083, 56557, 51185, 51080, 50439, 50927, 52284, 51023, 57991, 51061, 51194, 53093, 50976, 50451, 51133, 64531, 51083, 51074, 51947, 51795, 54516, 50824, 51638, 51551, 50415, 51557, 51148, 50421, 51083, 52378, 50427, 51061, 62118, 51186, 59009, 51193, 53574, 51089, 51333, 51133, 50976, 50439, 51020, 50943, 51118, 52136, 51301, 51244, 51299, 53380, 50440, 51092, 55480, 50953, 57795, 53266, 63758, 50964, 70216, 53456, 50811, 66844, 51452, 50945, 51029, 51154, 51358, 51883, 52015, 53456, 66288, 51118, 51490, 50426, 51061, 57648, 51023, 51101, 50437, 50945, 53663, 51092, 50952, 50449, 51815, 50865, 71435, 51301, 71252, 68308, 50873, 51093, 56508, 51089, 50952, 51023, 65367, 50937, 68266, 50924, 50927, 51009, 51154, 51160, 51113, 51221, 51251, 51377, 52371, 51072, 51201, 50896, 50421, 51083, 65435, 51061, 51124, 50427, 51284, 53566, 51023, 59321, 51154, 60920, 51113, 51013, 51182, 50824, 52143, 51552, 50439, 50964, 57310, 51083, 57554, 51061, 51121, 51201, 73300, 51251, 50977, 51154, 50936, 51113, 50924, 50799, 51557, 51945, 51096, 51059, 52602, 50917, 51638, 50977, 51107, 72100, 51083, 50915, 51201, 62715, 51096, 52952, 51185, 51091, 51096, 52940, 51023, 57824, 51061, 77650, 67067, 51107, 51159, 70782, 51933, 71877, 51699, 51518, 51182, 51585, 51251, 51692, 51165, 51945, 51088, 52500, 50419, 51557, 52263, 50426, 51083, 50932, 51638, 65492, 51299, 69657, 51020, 50987, 50953, 57880, 51193, 51291, 51251, 51518, 50439, 50953, 51300, 50444, 51020, 57299, 51083, 51576, 51107, 51073, 50456, 51557, 51079, 50461, 51165, 51218, 51182, 51184, 50799, 52047, 51749, 50964, 51072, 51154, 51218, 52143, 51184, 51251, 52250, 50420, 51557, 52598, 50426, 51083, 51253, 51154, 50824, 50431, 51061, 50879, 56372, 50437, 52047, 51241, 51088, 58769, 51020, 51362, 51133, 51072, 51154, 52024, 50449, 50964, 54145, 51401, 50862, 51557, 50977, 52795, 50824, 68266, 51013, 77199, 52371, 52369, 51201, 51036, 51113, 53002, 52307, 54226, 51083, 58187, 51061, 51330, 50427, 52614, 53566, 51023, 51174, 50927, 57784, 52203, 53663, 51185, 51145, 50927, 63757, 51023, 51330, 50449, 71155, 52143, 51573, 50450, 51061, 51056, 52307, 50824, 50455, 51083, 50974, 50460, 51107, 51353, 50461, 51557, 51151, 53596, 50824, 52602, 51585, 52494, 54226, 51083, 76906, 51061, 50981, 52882, 50824, 50431, 51096, 52726, 51023, 50978, 50437, 51185, 51241, 52307, 76190, 51096, 60254, 51023, 51961, 50449, 50953, 54145, 51061, 51203, 51699, 59727, 51083, 51142, 52494, 50976, 50460, 51093, 61307, 66844, 50915, 50945, 51009, 51088, 51237, 51887, 51009, 52795, 54226, 51118, 65435, 51061, 51412, 54019, 53566, 51023, 51824, 50437, 52307, 60920, 51763, 51080, 51113, 51189, 50439, 50927, 51009, 52371, 63323, 51083, 52056, 50450, 51061, 66983, 60943, 54019, 50860 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 211, 538, 6, 4246, 10, 2382, 3459, 8669, 4, 590, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 11098, 8, 7125, 4, 20, 33215, 16739, 9, 211, 6, 274, 10431, 119, 6, 272, 6, 8, 83, 4620, 5, 46336, 4811, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 53534, 51685, 50850, 51196, 52326, 51941, 51897, 50846, 51282, 51623, 50420, 51249, 51115, 52105, 51118, 51318, 51510, 52928, 51327, 50849, 52261, 51089, 54100, 51818, 51413, 55347, 50884, 51023, 80179, 50992, 51030, 51327, 51204, 52261, 51089, 51295, 50444, 64604, 50850, 51030, 51249, 50924, 52120, 50846, 51282, 57824, 51325, 51977, 50850, 51356, 54872, 51941, 51897, 50846, 52159, 51452, 50456, 51651, 51189, 52105, 51118, 51318, 76820, 77034, 51100, 52261, 51089, 58879, 51818, 50983, 55347, 50884, 51023, 51790, 50426, 50850, 51030, 51327, 50943, 52261, 51089, 51318, 50432, 51325, 61914, 51021, 51651, 50805, 52120, 50846, 52159, 53913, 50953, 51356, 50909, 51661, 52690, 51933, 51897, 50846, 51401, 51790, 50444, 51231, 51218, 52105, 51118, 51477, 51618, 53057, 51327, 50845, 52261, 51089, 54509, 51818, 50983, 55347, 50884, 51023, 51790, 74776, 50806, 51327, 51003, 52261, 51089, 78377, 50953, 62289, 50806, 51231, 50865, 52120, 50846, 51401, 53770, 51213, 51977, 51007, 51541, 55349, 51933, 51897, 50846, 52473, 51538, 50432, 51719, 50983, 52105, 51118, 51318, 51556, 53040, 51327, 51121, 52261, 51089, 51328, 50444, 51007, 50980, 51818, 51091, 55347, 50884, 51023, 67647, 51327, 51162, 52261, 51089, 71834, 51213, 50948, 51007, 50923, 51719, 50878, 52120, 50846, 51118, 50901, 52563, 51685, 50935, 51196, 52690, 52045, 51897, 50846, 51401, 51486, 77127, 51083, 51115, 51510, 52928, 51231, 51142, 52261, 51268, 51346, 50432, 51231, 51141, 51672, 51204, 51457, 51141, 52948, 51294, 55347, 53418, 50850, 50948, 52261, 51268, 51397, 50444, 61967, 72527, 52120, 50846, 51083, 68031, 51271, 51977, 50868, 51055, 51231, 51422, 51672, 51692, 51457, 51692, 51818, 51422, 51897, 50846, 51401, 51161, 51453, 50839, 51083, 51318, 76820, 57342, 50948, 52261, 51268, 51112, 67653, 50924, 55347, 53150, 50885, 50893, 52261, 51268, 70705, 51271, 58922, 50806, 52120, 50846, 51083, 50987, 55208, 51977, 50847, 51496, 52690, 51538, 51231, 51675, 51672, 51692, 51457, 51264, 51897, 50846, 51595, 51091, 51180, 50839, 51083, 51116, 51618, 53057, 52261, 51268, 55345, 51007, 51021, 55347, 50884, 51083, 51345, 63516, 51030, 52261, 50420, 61967, 50868, 50893, 51231, 50959, 52120, 50846, 51083, 52247, 51271, 51356, 50847, 51285, 52690, 51446, 51231, 51025, 51672, 51191, 51982, 51486, 51897, 50818, 51282, 50893, 51361, 50839, 51401, 61636, 51231, 63250, 55933, 51231, 51116, 51672, 51091, 51457, 51294, 51456, 50895, 51401, 70233, 50953, 57753, 51030, 52690, 51124, 51224, 50895, 51595, 67773, 51325, 50952, 50992, 51030, 51231, 50925, 51326, 50883, 51083, 50849, 53534, 51685, 50850, 51196, 51584, 52140, 51567, 51801, 52326, 51941, 53274, 51161, 54992, 51161, 52328, 52122, 50877, 54830, 50968, 54830, 50999, 54830, 50876, 57422, 51769, 55089, 50883, 51282, 51623, 50420, 51249, 51115, 52105, 51118, 51318, 51510, 52928, 51327, 50849, 52261, 51089, 54100, 51818, 51413, 55347, 50884, 51023, 80179, 50992, 51030, 51327, 51204, 52261, 51089, 51295, 50444, 64604, 50850, 51030, 51249, 50924, 52120, 50846, 51282, 57824, 51325, 51977, 50850, 51356, 51986, 52431, 54872, 51941, 53274, 52045, 57198, 51538, 50965, 54830, 51147, 54830, 50968, 63034, 51897, 50846, 52159, 51452, 50456, 51651, 51189, 52105, 51118, 51318, 76820, 77034, 51100, 52261, 51089, 58879, 51818, 50983, 55347, 50884, 51023, 51790, 50426, 50850, 51030, 51327, 50943, 52261, 51089, 51318, 50432, 51325, 61914, 51021, 51651, 50805, 52120, 50846, 52159, 53913, 50953, 51356, 50909, 51196, 51555, 51677, 52690, 51933, 53873, 51161, 50861, 54830, 50951, 54830, 51897, 50846, 51401, 51790, 50444, 51231, 51218, 52105, 51118, 51477, 51618, 53057, 51327, 50845, 52261, 51089, 54509, 51818, 50983, 55347, 50884, 51023, 51790, 74776, 50806, 51327, 51003, 54643, 50841, 51089, 78377, 64483, 51231, 50865, 52120, 50846, 51401, 71481, 50909, 63446, 51213, 51977, 50909, 51226, 52089, 51422, 55349, 51933, 52689, 51241, 53274, 51141, 54992, 51191, 50968, 53265, 50999, 53265, 50989, 54830, 50876, 54830, 51897, 50846, 52473, 51538, 50432, 51719, 50983, 52105, 51118, 51318, 51556, 53040, 51327, 51121, 52261, 51089, 51328, 50444, 50909, 51427, 51818, 51091, 52689, 51351, 56806, 51351, 50876, 53265, 51114, 53265, 55347, 50884, 51023, 67647, 51327, 51162, 54643, 50841, 51089, 71834, 51213, 50948, 50909, 51021, 51719, 50878, 52120, 50846, 51118, 50901, 52563, 51685, 50850, 51356, 51231, 51285, 51457, 52195, 53565, 51538, 52888, 51091, 53873, 51538, 52333, 51295, 50973, 54830, 50902, 54830, 50951, 54830, 51897, 50846, 51401, 51933, 77127, 51083, 51218, 51510, 50834, 51544, 50841, 51020, 51736, 52690, 51496, 52888, 51585, 51982, 51189, 55347, 50884, 51208, 52262, 51092, 52599, 50872, 50923, 51231, 50896, 51457, 51290, 54643, 50841, 51020, 58141, 61967, 50885, 51021, 51672, 50948, 52120, 50846, 51083, 58332, 51271, 51977, 51303, 51472, 51249, 51196, 51327, 51661, 51457, 51413, 52945, 51189, 52689, 50983, 53686, 51091, 51829, 51295, 50877, 54830, 50876, 54830, 50931, 54830, 51897, 50846, 51083, 51191, 50451, 50850, 57241, 74432, 52105, 51061, 51351, 76820, 61464, 51030, 52261, 51023, 60413, 52945, 51204, 52689, 51204, 53686, 51294, 52328, 51295, 55347, 50884, 51083, 51191, 50421, 51007, 63446, 50847, 51030, 51303, 51235, 51327, 51290, 51457, 51073, 54643, 50841, 51061, 59102, 51271, 62540, 50911, 51249, 50924, 52120, 73818, 53470, 50953, 51977, 50847, 51977, 52690, 51538, 51231, 51675, 51672, 51692, 51457, 51264, 53132, 52821, 53565, 52644, 52888, 52821, 52836, 53259, 50861, 63034, 50973, 63034, 50902, 63034, 51897, 68204, 51116, 51185, 51204, 51180, 50839, 51618, 53057, 52261, 51020, 57131, 55347, 50884, 51020, 51363, 51185, 51191, 76220, 51427, 54643, 50841, 51208, 51199, 50420, 61967, 50847, 51358, 51231, 50959, 52120, 68204, 75749, 51271, 51196, 51007, 51274, 52690, 51446, 51231, 51025, 51672, 51191, 51769, 55089, 50883, 51185, 50983, 51361, 50839, 51208, 50981, 51556, 53040, 51231, 50955, 52261, 51020, 51351, 57403, 51162, 51231, 51116, 51672, 51091, 51457, 51294, 52574, 51901, 72971, 51351, 57703, 51048, 50850, 51021, 52690, 51124, 54643, 61435, 50895, 51208, 51363, 50454, 52949, 58677, 53503, 53137, 50847, 50940, 51231, 50925, 52301, 50841, 51914, 53971, 51044, 68196, 50895, 51020, 68571, 51953, 54814, 51859, 61994, 51676, 50839, 51617, 60634, 52317, 50818, 53400, 51685, 50847, 51761, 51555, 51141, 51902, 51141, 52075, 51364, 54369, 51661, 51465, 51294, 51672, 50915, 53274, 50983, 53873, 51933, 51676, 51939, 52328, 51422, 50968, 58940, 50951, 54830, 50861, 54830, 50973, 54830, 50968, 54830, 51335, 53971, 50883, 51815, 51472, 53158, 50839, 51089, 51412, 60729, 52928, 51231, 51006, 67475, 51020, 67772, 50868, 51295, 51555, 51189, 51902, 50983, 52075, 51141, 52290, 51141, 51465, 51235, 51231, 51294, 51672, 50983, 58635, 50983, 51220, 53265, 50903, 52893, 76681, 51189, 51208, 80179, 50847, 50911, 54369, 51267, 60274, 50828, 51815, 77484, 63028, 50935, 51388, 51465, 50978, 57372, 50818, 51020, 67081, 51205, 51196, 50944, 51356, 51902, 51141, 51612, 51141, 52974, 51364, 51410, 51291, 51719, 51661, 51672, 51291, 56806, 51933, 54992, 50983, 51617, 51677, 51982, 51662, 50999, 53265, 51114, 54830, 50973, 54830, 50902, 54830, 55809, 50839, 54110, 51518, 50456, 67475 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 19834, 4246, 10, 13305, 6, 6755, 12547, 6, 31391, 1672, 9590, 6, 1076, 560, 31365, 25999, 6, 8, 38668, 11212, 4, 152, 251, 2125, 16, 278, 11, 230, 538, 19, 10, 2635, 20889, 9, 3191, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 10726, 9, 272, 6, 230, 6, 274, 401, 6, 274, 6, 8, 83, 6, 2351, 41, 9066, 8, 980, 219, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 1471, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 50799, 50619, 52894, 50918, 51690, 55597, 52487, 52440, 50909, 51177, 72985, 50418, 50885, 51233, 50885, 51391, 50422, 50909, 51481, 50872, 77008, 51257, 57084, 51194, 72985, 50428, 51257, 53096, 50430, 50909, 51177, 50872, 51419, 50434, 50885, 51101, 70386, 58711, 50942, 54294, 52440, 50935, 51167, 79073, 52156, 50857, 64994, 62384, 51827, 51126, 51686, 50827, 61297, 55788, 60390, 60795, 51132, 51413, 50885, 51337, 50885, 51419, 55562, 67762, 51606, 51679, 50444, 60390, 63674, 50935, 51884, 77735, 55562, 64457, 60390, 53938, 73178, 79073, 51257, 51285, 50451, 55562, 51043, 50454, 50935, 51242, 50872, 51542, 50456, 50872, 51183, 50458, 50885, 51242, 73178, 54983, 50942, 53089, 52440, 50939, 51192, 78126, 51827, 50867, 61297, 73051, 51686, 50904, 60390, 60461, 51132, 51446, 50885, 51233, 50885, 51419, 51606, 51381, 55562, 53299, 60390, 65291, 50939, 51101, 77735, 55562, 61083, 60390, 53425, 50885, 51337, 78126, 51257, 51196, 55562, 51043, 50430, 50939, 51111, 50872, 51542, 50432, 50872, 60085, 63245, 50885, 51233, 51596, 51008, 57097, 51446, 52487, 52440, 50850, 51167, 50850, 50896, 51752, 51318, 50440, 55156, 63753, 73178, 50885, 51542, 54486, 54434, 55156, 61794, 65623, 50872, 51423, 54486, 64457, 55156, 54086, 73178, 50850, 51016, 51257, 50807, 54486, 51043, 50454, 50872, 51423, 68098, 50456, 50872, 73119, 71037, 67637, 52894, 50918, 51690, 59828, 53506, 52440, 63456, 50909, 50893, 51606, 52263, 55562, 51448, 50418, 62783, 50885, 70152, 50909, 59092, 51400, 50422, 50872, 51194, 50872, 51162, 50424, 50885, 51775, 59812, 51642, 51257, 51162, 77289, 50430, 50909, 57045, 51191, 50432, 62814, 50434, 50885, 51212, 50885, 52482, 58711, 50897, 54294, 52440, 68352, 50935, 51227, 52156, 50886, 64994, 68273, 51827, 50837, 51686, 50904, 60390, 63776, 51132, 51291, 61999, 50885, 51337, 51606, 51391, 55562, 54305, 50935, 51162, 60390, 68787, 77735, 50872, 51411, 55562, 64457, 50885, 51411, 60390, 53886, 50885, 51309, 50935, 51175, 51257, 51191, 55562, 51194, 50454, 76246, 50872, 51337, 50456, 69427, 50458, 50885, 52518, 50885, 51233, 54983, 50925, 53089, 52440, 67866, 50939, 51178, 51827, 50867, 61297, 70624, 51257, 54521, 51686, 50904, 60390, 64685, 51132, 50983, 62835, 50885, 51233, 51606, 50932, 55562, 54475, 50939, 51110, 60390, 66183, 77735, 79933, 55562, 62782, 50885, 51101, 60390, 53425, 50885, 51337, 78126, 51257, 50915, 55562, 51212, 50428, 70944, 50430, 50872, 56948, 51542, 50432, 50885, 51203, 50434, 70386, 72080, 51596, 50854, 54486, 50834, 55156, 50942, 50436, 50939, 53574, 51132, 51356, 51690, 52397, 52487, 52397, 50850, 59590, 50896, 51752, 50862, 54486, 67635, 55156, 56442, 52671, 50829, 51596, 58900, 64060, 73178, 52671, 50835, 51752, 51381, 54486, 54247, 71144, 55156, 60812, 50872, 51423, 74229, 54486, 65807, 50885, 51576, 55156, 54915, 59455, 50807, 51690, 52731, 50885, 51233, 50850, 51016, 51257, 50914, 54486, 51253, 50454, 51304, 52167, 50872, 51423, 50850, 66947, 50872, 73752, 51284, 52946, 67637, 67637, 75696, 51121, 77289, 50418, 55301, 53161, 52376, 50883, 68151, 64832, 51337, 50885, 73967, 51831, 50884, 60507, 61553, 52376, 50883, 68151, 59013, 51831, 50883, 60507, 50883, 50909, 51277, 50872, 52059, 50424, 52376, 50895, 68151, 61953, 51831, 50883, 60507, 53087, 55301, 52059, 52376, 50883, 68151, 50883, 51257, 60185, 51043, 77289, 50427, 51831, 50821, 60507, 50821, 50428, 51257, 52460, 50430, 52376, 50818, 54103, 50828, 68151, 50818, 50744, 50305, 61937, 51121, 50872, 51381, 50434, 55301, 52059, 50885, 51177, 50885, 69397, 50935, 51379, 50935, 51013, 50442, 55301, 53161, 50885, 51423, 50885, 51391, 50443, 52376, 50880, 68151, 64733, 51831, 50883, 60507, 60797, 52376, 50883, 68151, 50883, 50935, 51481, 50872, 51642, 50448, 51831, 50846, 60507, 61587, 52376, 50818, 68151, 52396, 55301, 52482, 51831, 50883, 60507, 64832, 51233, 50935, 51013, 51257, 52195, 50452, 52376, 50846, 68151, 60053, 51831, 50821, 60507, 62354, 51212, 50872, 51679, 50456, 51831, 50821, 60507, 62121, 51127, 50458, 55301, 52059, 50885, 51101, 50885, 51233, 50459, 52376, 50846, 52832, 50828, 68151, 50846, 61571, 50828, 76952, 51286, 50939, 51013, 50418, 55301, 53161, 50885, 51337, 50885, 51391, 50421, 52376, 50880, 68151, 61135, 50939, 51121, 50872, 51642, 50423, 51831, 50883, 60507, 63655, 52376, 50818, 68151, 57550, 51831, 50818, 60507, 52437, 55301, 53726, 50885, 51423, 50939, 51013, 51257, 51551, 50427, 52376, 50883, 68151, 55212, 51831, 50921, 60507, 68418, 50939, 51060, 50872, 51679, 50432, 50872, 62089, 51831, 50880, 60507, 62268, 55301, 53161, 50848, 64263, 51337, 50438, 50850, 51379, 50850, 51013, 50442, 55301, 52482, 52376, 50880, 68151, 71528, 51233, 50885, 51419, 50443, 51831, 50883, 60507, 65266, 51831, 50883, 52522, 50883, 60507, 50883, 50744, 50310, 60797, 51652, 50883, 60531, 50883, 67474, 77735, 50447, 51831, 50883, 60507, 61576, 51831, 50880, 60507, 54411, 55301, 52482, 50885, 51233, 50850, 51013, 51257, 51013, 50451, 51831, 50821, 60507, 74362, 77735, 65198, 50456, 50872, 67164, 55301, 53161, 67637, 50885, 51337, 52894, 51661, 70141, 50909, 50893, 55562, 51627, 50417, 52376, 50883, 68151, 62740, 51831, 50884, 60507, 50884, 65998, 50885, 70152, 52376, 50883, 68151, 50883, 50909, 59092, 51377, 50422, 51831, 50883, 60507, 62269, 51194, 50872, 51346, 50423, 52376, 50883, 68151, 63655, 50885, 51411, 50425, 51831, 50883, 60507, 53087, 52376, 50883, 68151, 64832, 51642, 51257, 51346, 77289, 50428, 51831, 50880, 60507, 59965, 51831, 50880, 60507, 64626, 58541, 51191, 50432, 50872, 50889, 50434, 50885, 51177, 50885, 52482, 58711, 50897, 74797, 50935, 51227, 52156, 51000, 64994, 68167, 51827, 50928, 51686, 51128, 60390, 59356, 52376, 50883, 68151, 63895, 51132, 51343, 62835, 50885, 51337, 51606, 51961, 55562, 64831, 51831, 50883, 60507, 53675, 50935, 51346, 60390, 65804, 52376, 50883, 68151, 60797, 51831, 50883, 60507, 62269, 51309, 50872, 51025, 55562, 60168, 52376, 50880, 68151, 71528, 51025, 60390, 52800, 51831, 50880, 60507, 71528, 51309, 50935, 51175, 51257, 51204, 55562, 51233, 50451, 52376, 50884, 68151, 56883, 51831, 50883, 60507, 61807, 52376, 50883, 68151, 50883, 50935, 51111, 50872, 51337, 50456, 51831, 50880, 60507, 50880, 73360, 50458, 50885, 52063, 50885, 51233, 50459, 51831, 50880, 60507, 50880, 54983, 50897, 71536, 50939, 51178, 51827, 50971, 61297, 79171, 51257, 53892, 51686, 51128, 60390, 62016, 51132, 51091, 67386, 50885, 51233, 51606, 52011, 55562, 65942, 52376, 50883, 68151, 53336, 50939, 51095, 60390, 64729, 51831, 50880, 60507, 61135, 77735, 50872, 51178, 55562, 53910, 52376, 50809, 68151, 59474, 50885, 51177, 60390, 61521, 51831, 50880, 60507, 53939, 50885, 51337, 78126, 51257, 51003, 55562, 51328, 50427, 52376, 50883, 68151, 68016, 51831, 50883, 60507, 67515, 51111, 50430, 52376, 50883, 68151, 50883, 56371, 50872, 51542, 50431, 51831, 50821, 60507, 52686, 50885, 51221, 50434, 51132, 50855, 51831, 50880, 60507, 50880, 70386, 59381, 51596, 50827, 54486, 50829, 55156, 50878, 50436, 50939, 53813, 51132, 51661, 50850, 62663, 51055, 51752, 50864, 54486, 62384, 51831, 50883, 60507, 50883, 55156, 56714, 52671, 50870, 51596, 61118, 51831, 50880, 60507, 50880, 61999, 50885, 51101, 52671, 50891, 51752, 53674, 54486, 54305, 52522 ]

[ 0, 250, 15352, 30054, 3495, 1619, 2214, 19, 10, 3152, 2712, 6, 4246, 13305, 6, 31391, 1672, 9590, 6, 3152, 6757, 6, 3459, 8669, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 7212, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 1918, 406, 8, 272, 119, 1176, 406, 35315, 5705, 6, 8216, 7, 5, 2214, 18, 1372, 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, 0, 0, 0, 0, 0, 0 ]

[ 57333, 50796, 54920, 50827, 50900, 52845, 50320, 51145, 50951, 51145, 51220, 51145, 51133, 51218, 58009, 62249, 56075, 51953, 51145, 51676, 51145, 52333, 67568, 51416, 68184, 51884, 51970, 54439, 73715, 51437, 52417, 51137, 58753, 51172, 50916, 51172, 50861, 51172, 51133, 55937, 51833, 50863, 54908, 61665, 71946, 50981, 51133, 51127, 54003, 57270, 51953, 50981, 51676, 59242, 51416, 63682, 51172, 50916, 51172, 50861, 51172, 60583, 50968, 71946, 51741, 50327, 57604, 51437, 55223, 51953, 50981, 51676, 50981, 52333, 58667, 51137, 51481, 50900, 51080, 50916, 67835, 65345, 52223, 50863, 54920, 63699, 51145, 50999, 51145, 51062, 51145, 51271, 51218, 58009, 56075, 51859, 51145, 51617, 51145, 51829, 67568, 51416, 51411, 51970, 51302, 51437, 52417, 51416, 51962, 50292, 51074, 51271, 55937, 51833, 50820, 54360, 73089, 61567, 51277, 50916, 51277, 50861, 51277, 51271, 51127, 54003, 57270, 51617, 55200, 51374, 50851, 51132, 52063, 51085, 53693, 50321, 50892, 58009, 60479, 51859, 54058, 51640, 61567, 50959, 67946, 62958, 50876, 54371, 51437, 55223, 52301, 54771, 51137, 53130, 50313, 60745, 55623, 57077, 52949, 50892, 54920, 64607, 51047, 65218, 50973, 51047, 51133, 51218, 58009, 56075, 55209, 51145, 53455, 51145, 53144, 67568, 51416, 60045, 50827, 61022, 58219, 51970, 53523, 50851, 64385, 50861, 54553, 51437, 52417, 51137, 61528, 50851, 64385, 59663, 51133, 55937, 51833, 50863, 54908, 67843, 50912, 70088, 62007, 50916, 58339, 50915, 51133, 51127, 54003, 57270, 55209, 50981, 53455, 59242, 51416, 63682, 51542, 50916, 51542, 50861, 51542, 51970, 59758, 58339, 67430, 56951, 51437, 55223, 55209, 50981, 53455, 50981, 53144, 58667, 51137, 51712, 50292, 73712, 52223, 50863, 54920, 50844, 50900, 50822, 63077, 57660, 74169, 67137, 67663, 51271, 51218, 58009, 56075, 55017, 51145, 54609, 51145, 52949, 67568, 51416, 51484, 50900, 51709, 50916, 51709, 50861, 51709, 51970, 51302, 51437, 52417, 51416, 50878, 50900, 65377, 58794, 50932, 51271, 55937, 51833, 50820, 54908, 51008, 50968, 50845, 51271, 51127, 54003, 57270, 51953, 55200, 51416, 51008, 51085, 53536, 50316, 50892, 58009, 60479, 52301, 54058, 51416, 50955, 50900, 50822, 63077, 57660, 50877, 54371, 51437, 55223, 52949, 54771, 51416, 64000, 60745, 52223, 62107, 54609, 50892, 54920, 50857, 51133, 51127, 58018, 52981, 51416, 60817, 51542, 50861, 51542, 50973, 51542, 50902, 51542, 51960, 51302, 51437, 52417, 51137, 51277, 50861, 75170, 50974, 57936, 59118, 53455, 50892, 54908, 64607, 50851, 59663, 64542, 60989, 50968, 50849, 51209, 50892, 51590, 50892, 51924, 50892, 51133, 51127, 54003, 55698, 53455, 50892, 53144, 50892, 51953, 55200, 51416, 71278, 64291, 51318, 50861, 51318, 50973, 51318, 50902, 51318, 51209, 50995, 51590, 50995, 51924, 50995, 51960, 50445, 53455, 50981, 53144, 50981, 51953, 50981, 51382, 51437, 52579, 51416, 59086, 50943, 51322, 50995, 51256, 50995, 51390, 60981, 52348, 58908, 55017, 50981, 54609, 50981, 51914, 50981, 53447, 60365, 51148, 78872, 50876, 51148, 50902, 51148, 51271, 51127, 58018, 53023, 51181, 51109, 50876, 51295, 51256, 51477, 51229, 51477, 51334, 51477, 51960, 50421, 54609, 51310, 52949, 51310, 52301, 51310, 51302, 51437, 52417, 51181, 54355, 51833, 52600, 51181, 67159, 53280, 51271, 51127, 54003, 52875, 51181, 59772, 57934, 51199, 51229, 50905, 58018, 59002, 52949, 54058, 51181, 51101, 50877, 63257, 50889, 51256, 50915, 51229, 50915, 51334, 56951, 51437, 55223, 54609, 50981, 52949, 50981, 52301, 58667, 51844, 50844, 50902, 55056, 52348, 50870, 54920, 50844, 50902, 51077, 50916, 51243, 50861, 51243, 50973, 51243, 50902, 51243, 51390, 51047, 51133, 51127, 58018, 57030, 51914, 67568, 51416, 50981, 60656, 57216, 50981, 63330, 57604, 51437, 52417, 51338, 51166, 57936, 50870, 54908, 50827, 50876, 50914, 51334, 50981, 51133, 51127, 54003, 57972, 52301, 59242, 51416, 50915, 51289, 52805, 50877, 50849, 51229, 50892, 57216, 57604, 51437, 55223, 52949, 54771, 51338, 50837, 51137, 59023, 51675, 51229, 51803, 50801, 52348, 58908, 52949, 51742, 53447, 60365, 51148, 78872, 50876, 51148, 50902, 51148, 51271, 51127, 58018, 53023, 51181, 50981, 60656, 55184, 50892, 55936, 56751, 51437, 52417, 51844, 51481, 55184, 51310, 55936, 51310, 57936, 52600, 51181, 63327, 53280, 51271, 51218, 54003, 52875, 51181, 62154, 51199, 58018, 53003, 51181, 59903, 50972, 55184, 50981, 55936, 57604, 51437, 52579, 51181, 67316, 50838, 51271, 55937, 52348, 50870, 54920, 64607, 51243, 50861, 51243, 50973, 51243, 50902, 51243, 51133, 51127, 58018, 52981, 51416, 50915, 60656, 50968, 50849, 51209, 50892, 51590, 50892, 51924, 56751, 51437, 55477, 53455, 50892, 53144, 50892, 51953, 54100, 51137, 51277, 50951, 50873, 52004, 50974, 57936, 59118, 51676, 50892, 54908, 66340, 50914, 52700, 50981, 51133, 51127, 54003, 55698, 51617, 59242, 51416, 50981, 61625, 50968, 50849, 51209, 50892, 51590, 50892, 51924, 56751, 51437, 55223, 53455, 50892, 53144, 50892, 51953, 54771, 51416, 59086, 50943, 51256, 50995, 51229, 50995, 51390, 60981, 52348, 58908, 54609, 50981, 52949, 50981, 51914, 50981, 53447, 60365, 51243, 50877, 51243, 50876, 51243, 50902, 51243, 51271, 51127, 58018, 53023, 51181, 59937, 51295, 51334, 51477, 51960, 50421, 52301, 51310, 51302, 51437, 52417, 51844, 51481, 57936, 52600, 51181, 50845, 51271, 51127, 54003, 52875, 51684, 63700, 75403, 50905, 58018, 59002, 52949, 54058, 51181, 61316, 50805, 51256, 50845, 51229, 50845, 51334, 54371, 51437, 55223, 54609, 50892, 52949, 50892, 52301, 54771, 51181, 76146, 75403, 65178, 56634, 57077, 52949, 50892, 54920, 64545, 51243, 50861, 51243, 50973, 51243, 50902, 51243, 51133, 51127, 58018, 53023, 51416, 51109, 60656, 57216, 51677, 50804, 51437, 52417, 51416, 55503, 51833, 50870, 54908, 60982, 50849, 51334, 50892, 51133, 51127, 54003, 57972, 52301, 55200, 51416, 68721, 50943, 51229, 50995, 51960, 50445, 52949, 50981, 51382, 51437, 52579, 51416, 59772, 51675, 51229, 51803, 50801, 52348, 58908, 52949, 51742, 53447, 67843, 51333, 51271, 51127, 58018, 53023, 51181, 62646, 51884, 51960, 56207, 51254, 55936, 56751, 51437, 52417, 51181, 60365, 51172, 69541, 67939, 69995, 55936, 51742, 57936, 52600, 51181, 50813, 51271, 51127, 54003, 52875, 51181, 59772, 60263, 51172, 69541, 67939, 69995, 51229, 54436, 51750, 59002, 52949, 55876, 59755, 51229, 69300, 52949, 54004, 51181, 51101, 50876, 50805, 51334, 54371, 51437, 55223, 52301, 54771, 51844, 60094, 56943, 56943, 56964, 57777, 50838, 51229, 65178, 56634, 57077, 52949, 50892, 54920, 64607, 51148, 70330, 50973, 51148, 50902, 51148, 51133, 51127, 58018, 52981, 51416, 50915, 60656, 50968, 50849, 51209, 50892, 51590, 50892, 51924, 56751, 51437, 55477, 53455, 50892, 53144, 50892, 51953, 54100, 51137, 51277, 50968, 75170, 50974, 51590, 50974, 51924, 50974, 57936, 59118, 53455, 50892, 53144, 50892, 51953, 50892, 54908, 59086, 51519, 50303, 53280, 51366, 50892, 51590, 50892, 51390, 50892, 51133, 51127, 54003, 55698, 55209, 50892, 53144, 50892, 51914, 55200, 51416, 68184, 51199, 50902, 50943, 51366, 50995, 51590, 50995, 51390, 50995, 51960, 50445, 55209, 50981, 53144, 50981, 51914, 50981, 56222, 57791, 51437, 52579, 51416, 59086, 55512, 50943, 51256, 50995, 51229, 50995, 51334, 60981, 52348, 58908, 54609, 50981, 52949, 50981, 52301, 50981, 53447, 50857 ]

[ 0, 250, 15352, 30054, 5175, 8, 3152, 2214, 19, 10, 1769, 20889, 9, 17445, 163, 5683, 6, 4246, 3459, 9590, 6, 21072, 6, 8, 38668, 3038, 4, 8504, 11, 5, 762, 9, 274, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 41, 20425, 8, 1372, 6711, 19, 10, 11602, 9, 1619, 4780, 4, 20, 33215, 16739, 9, 163, 428, 6, 274, 6, 8, 230, 4620, 5, 46336, 24456, 9, 42, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 59626, 50799, 51842, 51544, 50837, 51570, 59457, 62734, 50880, 51382, 53893, 56721, 51289, 50817, 54516, 51351, 50684, 50326, 51353, 50684, 50330, 51353, 50684, 50321, 52122, 63313, 51933, 51320, 65617, 61072, 52670, 58960, 51130, 52265, 51186, 50977, 63423, 51186, 50977, 52924, 53027, 51186, 50942, 60347, 51186, 50977, 58960, 51130, 56721, 50749, 50331, 51073, 50456, 51133, 50942, 51842, 50460, 50684, 50328, 52122, 50461, 50684, 50325, 51353, 52354, 51295, 64576, 51655, 52924, 64336, 52670, 58960, 51130, 52265, 50945, 50977, 51842, 53357, 50977, 52924, 53027, 50945, 50942, 51842, 57762, 50977, 58960, 51130, 52193, 50953, 50977, 51842, 52534, 51351, 64576, 51933, 52924, 57610, 50684, 50319, 55428, 69488, 52122, 50419, 62734, 77740, 61599, 62734, 54631, 58960, 51130, 52265, 50964, 50977, 51842, 56107, 50942, 52924, 53027, 50964, 50942, 51842, 50449, 63313, 59731, 50964, 50942, 58960, 51130, 52193, 50927, 50977, 51842, 50460, 50684, 50326, 51353, 50461, 72010, 50884, 53870, 50942, 72010, 50879, 51320, 53070, 51105, 50942, 72010, 52392, 51320, 52670, 51133, 50977, 64576, 53988, 51130, 52265, 51133, 50977, 64576, 50887, 63423, 52022, 50854, 50749, 50329, 53579, 50898, 53027, 52022, 50942, 50749, 50329, 53579, 50898, 52763, 51133, 50942, 64576, 53988, 51130, 52193, 51133, 71589, 57015, 50684, 50326, 51353, 50684, 50330, 51353, 50684, 50321, 52122, 54516, 51295, 52924, 57610, 63313, 51896, 51039, 52670, 58960, 51130, 52265, 51186, 50977, 63423, 51186, 50977, 52924, 53027, 51186, 50942, 60347, 51186, 50977, 58960, 51130, 56721, 50749, 50331, 68635, 51133, 50977, 51842, 50461, 50684, 50325, 51353, 50684, 50328, 52122, 52354, 51351, 64576, 51933, 52924, 64336, 52670, 58960, 51130, 52265, 50945, 50977, 51842, 53357, 50942, 52924, 53027, 50945, 50942, 51842, 57762, 50942, 58960, 51130, 56721, 63313, 51345, 50456, 50953, 50977, 51842, 52534, 51351, 69488, 52122, 52924, 57610, 50684, 50319, 52122, 64576, 51933, 51039, 52670, 58960, 51130, 52265, 50964, 50942, 51842, 56107, 50942, 52924, 53027, 50964, 50942, 60347, 50964, 50942, 63313, 51345, 58960, 51130, 52193, 50927, 50977, 51842, 53870, 51267, 50684, 50326, 55428, 72010, 50884, 72010, 50879, 52924, 53070, 72010, 52392, 52924, 52670, 51105, 50942, 64576, 53988, 51130, 52265, 51105, 50942, 64576, 55137, 52904, 51105, 50942, 50749, 50329, 53579, 51130, 53027, 51105, 50942, 50749, 50329, 53579, 51130, 52763, 51105, 50942, 64576, 53988, 51130, 52193, 51105, 50942, 64576, 50887, 51842, 53870, 50942, 72010, 50879, 52924, 53070, 51105, 50854, 72010, 51933, 52924, 52670, 51133, 50942, 64576, 53988, 51130, 52265, 51133, 50977, 64576, 55137, 52904, 52022, 50942, 50749, 50329, 53579, 51130, 53027, 52022, 50942, 50749, 50329, 53579, 53893, 51130, 52763, 51133, 50942, 64576, 54047, 51130, 52193, 51133, 54806, 51130, 50837, 53596, 51003, 51320, 65617, 61072, 52670, 51096, 50942, 58960, 51130, 52265, 51096, 50942, 63423, 51096, 50942, 50769, 50325, 53056, 51130, 53027, 51096, 50942, 62734, 50859, 60347, 51096, 50942, 50769, 50325, 53235, 53893, 51130, 52193, 75644, 62734, 51739, 50837, 52354, 51267, 52924, 64336, 52670, 50945, 50942, 58960, 51130, 52265, 50945, 50942, 51842, 53357, 50977, 52924, 53027, 50945, 50942, 51842, 57762, 50977, 50769, 50325, 53235, 53893, 51130, 52193, 50953, 50977, 62734, 51739, 50837, 52534, 51267, 52924, 64336, 52670, 50964, 50942, 58960, 51130, 52265, 50964, 50942, 51842, 56107, 50942, 52924, 53027, 50964, 50942, 60347, 50964, 50942, 58960, 51130, 52193, 50927, 50977, 51842, 53870, 51400, 52924, 64336, 52670, 51105, 50942, 58960, 51130, 52265, 51105, 50942, 63423, 51105, 50942, 52924, 53027, 51105, 50942, 60347, 51105, 50942, 58960, 51130, 52193, 50945, 50977, 51842, 53596, 51400, 52924, 64336, 52670, 51096, 50977, 58960, 51130, 52265, 51096, 50942, 50769, 50325, 51594, 52896, 51096, 50942, 62734, 52589, 51130, 53027, 51096, 50854, 50769, 50325, 51049, 52763, 51096, 50942, 62734, 53238, 53893, 51130, 52193, 50927, 50977, 50769, 50325, 51508, 50837, 52354, 51400, 52924, 64336, 52670, 50945, 50942, 58960, 51130, 52265, 50945, 50977, 51842, 53357, 50942, 52924, 53027, 63635, 51842, 57762, 50977, 50769, 50325, 53235, 53893, 51130, 52193, 50953, 50977, 51842, 52534, 51400, 62734, 53235, 51130, 64336, 52670, 50964, 50942, 58960, 51130, 52265, 50964, 50942, 51842, 56107, 50942, 52924, 53027, 50964, 50942, 60347, 50964, 50942, 58960, 51130, 52193, 50927, 50977, 51842, 53870, 51267, 52924, 64336, 52670, 51105, 50942, 58960, 51130, 52265, 51105, 50942, 63423, 51105, 50942, 52924, 53027, 51105, 50854, 60347, 51105, 50942, 58960, 51130, 52193, 50945, 50942, 51842, 53596, 51267, 51320, 57610, 51206, 61072, 52670, 51096, 50942, 58960, 51130, 52265, 51096, 50942, 50769, 50325, 50859, 63423, 51096, 50942, 62734, 53238, 51130, 53027, 51096, 50942, 50769, 50325, 51049, 52763, 51096, 50942, 62734, 51730, 53893, 51130, 52193, 50927, 50977, 50769, 50325, 51508, 50837, 52354, 51267, 52924, 53070, 62734, 51594, 52670, 50945, 50942, 58960, 51130, 52265, 50945, 50942, 51842, 53357, 50942, 52924, 53027, 50945, 50942, 51842, 57762, 50977, 58960, 51130, 52193, 50927, 50977, 51842, 52563, 51400, 52924, 64336, 52670, 50953, 50942, 58960, 51130, 52265, 50953, 50942, 50769, 50325, 51049, 52896, 50953, 50942, 62734, 52589, 51130, 53027, 50953, 50942, 50769, 50325, 51049, 52763, 50953, 50977, 62734, 53235, 53893, 51130, 52193, 75644, 51842, 53870, 51400, 50769, 50325, 53235, 51130, 64336, 52670, 51105, 50942, 58960, 51130, 52265, 51105, 50942, 63423, 51105, 50942, 52924, 53027, 51105, 50854, 60347, 51105, 50901, 58960, 51130, 52193, 50945, 50977, 51842, 53596, 51400, 52924, 64336, 52670, 51096, 50942, 58960, 51130, 52265, 51096, 50942, 63423, 51096, 50942, 50769, 50325, 53235, 51130, 53027, 51096, 50854, 62734, 50859, 60347, 51096, 50942, 50769, 50325, 53238, 53893, 51130, 52193, 75644, 62734, 51594, 50837, 52354, 51267, 52924, 64336, 52670, 50945, 50942, 58960, 51130, 52265, 50945, 50942, 51842, 53357, 50942, 52924, 53027, 63635, 51842, 57762, 50942, 50769, 50325, 53238, 53893, 51130, 52193, 69694, 62734, 51594, 50837, 52534, 51255, 52924, 64336, 52670, 50964, 50942, 58960, 51130, 52265, 50964, 50942, 51842, 56107, 53590, 51130, 53027, 50964, 50942, 60347, 50964, 53590, 53893, 51130, 52193, 75644, 51842, 53870, 50942, 72010, 53579, 51130, 53070, 51105, 50854, 72010, 53579, 51130, 52670, 51133, 50942, 64576, 53988, 51130, 52265, 51133, 50977, 64576, 55137, 52904, 52022, 50854, 50749, 50329, 53579, 51130, 53027, 52022, 50942, 50749, 50329, 53579, 51130, 52763, 51133, 50942, 64576, 54047, 51130, 52193, 51133, 50854, 51842, 53596, 50839, 51096, 51267, 51320, 65617, 61072, 52670, 51096, 50942, 58960, 51130, 52265, 51096, 50942, 50769, 50325, 51508, 52896, 51096, 50942, 62734, 53238, 51130, 53027, 51096, 50942, 50769, 50325, 51049, 52763, 51096, 50942, 62734, 52589, 53893, 51130, 52193, 50927, 50854, 50769, 50325, 51508, 50837, 52354, 51267, 52924, 64336, 52670, 50945, 50942, 58960, 51130, 52265, 50945, 50942, 51842, 53357, 50942, 52924, 53027, 50945, 50942, 51842, 57762, 50942, 58960, 51130, 52193, 50927, 50977, 51842, 52534, 51400, 52924, 64336, 52670, 50964, 50942, 58960, 51130, 52265, 50964, 50942, 62734, 51049 ]

[ 0, 250, 15352, 30054, 5175, 1619, 2214, 19, 10, 7212, 20889, 6, 4246, 10, 6755, 12547, 6, 18558, 6, 21072, 6, 3459, 8669, 6, 8, 13305, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 428, 538, 8, 3905, 10, 33215, 16739, 9, 163, 428, 6, 274, 6, 12608, 6, 8, 274, 401, 4, 590, 63, 33558, 8, 19448, 5466, 6, 42, 2214, 19369, 5, 12298, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 50799, 51960, 51544, 79932, 53003, 51960, 50799, 51960, 51544, 52904, 51182, 50914, 51772, 51237, 51209, 51237, 52623, 50915, 51555, 58141, 52060, 52743, 51394, 50914, 51209, 51237, 51408, 51237, 51555, 50995, 51722, 50943, 51224, 53217, 51326, 50825, 50799, 51811, 51486, 51105, 50833, 51209, 51761, 52031, 51761, 51555, 51295, 52184, 51364, 53804, 62249, 50870, 51436, 50840, 51513, 52944, 51105, 50937, 75897, 50979, 50807, 57706, 53740, 50928, 51436, 50839, 51513, 58092, 50939, 51048, 50423, 51070, 53098, 51096, 50873, 62544, 51750, 50839, 51436, 69007, 53031, 51105, 54703, 51048, 50979, 50807, 51209, 51012, 52031, 51012, 51555, 50901, 52184, 50879, 57706, 53740, 50928, 51436, 50840, 51513, 62089, 50939, 51048, 50435, 51070, 54114, 51209, 51237, 52031, 51237, 51555, 51003, 52184, 51013, 53804, 50820, 51436, 51000, 51513, 53858, 51105, 54703, 51048, 50979, 50807, 53781, 53740, 50928, 51436, 50857, 51513, 60073, 50939, 51048, 60926, 53430, 51384, 50849, 51096, 50873, 51256, 51012, 51390, 51012, 51783, 50901, 51612, 50879, 62544, 51750, 50839, 51436, 50971, 51513, 55835, 51690, 50914, 50964, 54703, 51048, 50939, 51048, 50979, 50807, 51674, 51237, 51893, 51237, 51986, 51003, 52037, 51013, 54530, 53740, 50928, 51436, 50862, 51513, 57400, 69603, 53870, 53632, 70053, 51436, 51004, 51513, 54605, 51811, 51591, 51105, 50937, 75897, 50979, 50807, 51209, 51761, 52031, 51761, 51555, 51295, 52184, 51364, 57706, 53740, 50928, 58904, 51513, 65643, 50939, 51048, 50423, 51070, 53098, 51096, 50873, 62544, 51750, 50839, 51436, 50870, 51513, 53196, 51105, 54703, 51048, 50979, 50807, 57706, 53740, 50928, 51436, 50857, 51513, 64938, 50939, 51048, 50435, 51070, 54114, 51209, 51237, 52031, 51237, 51555, 51003, 52184, 51013, 53804, 50820, 51436, 51126, 51513, 53384, 51105, 54703, 51048, 50979, 50807, 53781, 53740, 50928, 51436, 50857, 51513, 65079, 50939, 51048, 60926, 53430, 51384, 50849, 51096, 50873, 51256, 51012, 51390, 51012, 51783, 50901, 51612, 50879, 62544, 51750, 50839, 51436, 50971, 51513, 53007, 51690, 51103, 50964, 54703, 51048, 50979, 50807, 51674, 51870, 51893, 51870, 51986, 51183, 52037, 51336, 54530, 53740, 50928, 51436, 50862, 51513, 61242, 50939, 51048, 50459, 69603, 53870, 53632, 75748, 51436, 51128, 51513, 54183, 51105, 50937, 75897, 50979, 50807, 54164, 53740, 50928, 51436, 50857, 51513, 65643, 50939, 51048, 50423, 51070, 53098, 51096, 50873, 62544, 51750, 50839, 51436, 50971, 51513, 53196, 51811, 51189, 51105, 54703, 51048, 50979, 50807, 51209, 51012, 52031, 51012, 51555, 50901, 52184, 50879, 54164, 53740, 50928, 51436, 50857, 51513, 65312, 50939, 51048, 50435, 51070, 54114, 51209, 51237, 52031, 51237, 51555, 51003, 52184, 51013, 53804, 50829, 51436, 50982, 51513, 54189, 51105, 54703, 51048, 50979, 50807, 54164, 53977, 50928, 51436, 50867, 51513, 63381, 50939, 51048, 60926, 53430, 51304, 50849, 51096, 50873, 51772, 51012, 51334, 51012, 52623, 50901, 51567, 50879, 62544, 51750, 50839, 51436, 50971, 51513, 53556, 51384, 51591, 50964, 50937, 75897, 50939, 51048, 50979, 50807, 51256, 52827, 51390, 52827, 51783, 51790, 51612, 51896, 60227, 53977, 50928, 51436, 50857, 51513, 57400, 69603, 53596, 53632, 70053, 51425, 50857, 51436, 54213, 51096, 50937, 50872, 76800, 50807, 57706, 53740, 50928, 51425, 50810, 58904, 50421, 50939, 51048, 50423, 51070, 53098, 70043, 62544, 51750, 50839, 51425, 51319, 51436, 56761, 51096, 55664, 76800, 50807, 57706, 53740, 50928, 51425, 50822, 58904, 50433, 50939, 51048, 50435, 51070, 54114, 51629, 50914, 51256, 51237, 51674, 51237, 51783, 51003, 51986, 51013, 53804, 50820, 51425, 50863, 51436, 53858, 51096, 55664, 76800, 50807, 53781, 53740, 50928, 51425, 50822, 51436, 65079, 50939, 51048, 60926, 53430, 51394, 50914, 50927, 75170, 51237, 51408, 51237, 51555, 51003, 51722, 51013, 62544, 51750, 50839, 73381, 51436, 53217, 70043, 50872, 76800, 50807, 54530, 53740, 50928, 51425, 50822, 58904, 50457, 50939, 51048, 50459, 69603, 50799, 51384, 51486, 51096, 50833, 51408, 51761, 51390, 51761, 51722, 51295, 51612, 51364, 53804, 50820, 51425, 75822, 55650, 51096, 55664, 76800, 50807, 54164, 53740, 50928, 51425, 50844, 51436, 63630, 50939, 51048, 50423, 51070, 53098, 70043, 62544, 51750, 50839, 51425, 53814, 51096, 55664, 76800, 50807, 51408, 51012, 51390, 51012, 51722, 50901, 51612, 50879, 54164, 53740, 50928, 77601, 51436, 65312, 50939, 51048, 50435, 51070, 54114, 51408, 51237, 51390, 51237, 51722, 51003, 51612, 51013, 53804, 50829, 51425, 57522, 51096, 55664, 76800, 50807, 54164, 53977, 50928, 51425, 50857, 58904, 50445, 50939, 51048, 60926, 53430, 51304, 50849, 50927, 50937, 51674, 51012, 51334, 51012, 51986, 50901, 51567, 50879, 62544, 51750, 50839, 51425, 50971, 51436, 54038, 51811, 50914, 70043, 50872, 51048, 50939, 76800, 50807, 51334, 51237, 52031, 51237, 51567, 51003, 52184, 51013, 60227, 53977, 50928, 51425, 50851, 51436, 56573, 69603, 53596, 53632, 51187, 53203, 51384, 51591, 51096, 55664, 76800, 50807, 51408, 51761, 51390, 51761, 51722, 51295, 51612, 51364, 57706, 53740, 50928, 51425, 50971, 51436, 73122, 50939, 51048, 50423, 51070, 53098, 70043, 62544, 51750, 52925, 51096, 55664, 76800, 50807, 57706, 53740, 50928, 77601, 51436, 64938, 50939, 51048, 50435, 51070, 54114, 51408, 51237, 51390, 51237, 51722, 51003, 51612, 51013, 53804, 52616, 51096, 55664, 76800, 50807, 53781, 53740, 50928, 74748, 51436, 59843, 50939, 51048, 60926, 53430, 51304, 50849, 50927, 50937, 51674, 51012, 51334, 51012, 51986, 50901, 51567, 50879, 62544, 51750, 50839, 51425, 60325, 51811, 51103, 50945, 55664, 76800, 50807, 51334, 50950, 52031, 51870, 51567, 51183, 52184, 51336, 54530, 53740, 50928, 51425, 50822, 51436, 67321, 50939, 51048, 50459, 69603, 53596, 53632, 51187, 52761, 51096, 50937, 50872, 76800, 50807, 54164, 53740, 50928, 51425, 50857, 51436, 57404, 50939, 51048, 50423, 51070, 53098, 70043, 62544, 51750, 52925, 51384, 50849, 51096, 55664, 76800, 50807, 51408, 51012, 51390, 51012, 51722, 50901, 51612, 50879, 54164, 53740, 50928, 51425, 50844, 51436, 62089, 50939, 51048, 50435, 51070, 54114, 51304, 50914, 51674, 51237, 51334, 51237, 51986, 51003, 51567, 51013, 53804, 50829, 51425, 57536, 51096, 55664, 76800, 50807, 54164, 53977, 50928, 51425, 50844, 51436, 64684, 50939, 51048, 60926, 53430, 51384, 50914, 75908, 51408, 51237, 51390, 51237, 51722, 51003, 51612, 51013, 62544, 51750, 53268, 70943, 50872, 51048, 50939, 76800, 50807, 60227, 53977, 50928, 51425, 50857, 51436, 57490, 69603, 50799, 51811, 51307, 51105, 50833, 51209, 52379, 51408, 52379, 51555, 51353, 52184, 51655, 53804, 53203, 51105, 50937, 75897, 50979, 50807, 57706, 53740, 50928, 51436, 50857, 51513, 73122, 50939, 51048, 50423, 51070, 53098, 51096, 50873, 62544, 51750, 52925, 51105, 54703, 51048, 50979, 50807, 57706, 53740, 50928, 51436, 50886, 51513, 65312, 50939, 51048, 50435, 69603, 51450, 75748, 51436, 50908, 51513, 53384, 51105, 50937, 75897, 50979, 50807, 53781, 53740, 50928, 58904, 51513, 65804, 50939, 51048, 60926, 53430, 51096, 50873, 62218, 51730, 54212, 51750, 50839, 51436, 50870, 51513, 56782, 60468, 51754, 50964, 54703, 51048, 50979, 50807, 64243, 51049, 52275, 53740, 50928, 51436, 50857, 51513, 62516, 50939, 51048, 50459, 59570, 55237, 50928, 53870 ]

[ 0, 4688, 5175, 25771, 2214, 19, 10, 980, 219, 8, 9066, 16464, 6, 4246, 38668, 18569, 6, 6755, 12547, 6, 8, 38668, 3038, 6, 2800, 30, 21072, 8, 12577, 12167, 4428, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 10, 33215, 16739, 9, 211, 6, 3676, 406, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 50422, 53460, 51801, 53278, 51801, 52507, 51801, 52684, 51801, 57756, 51801, 54776, 52829, 53494, 52829, 54426, 52829, 54045, 52829, 55205, 52829, 51288, 52829, 51634, 52829, 52294, 52829, 52375, 52829, 52874, 52829, 50796, 50458, 53797, 50860, 50680, 50277, 50880, 55314, 52024, 69488, 52442, 58130, 54991, 56336, 52024, 54707, 51717, 50460, 57756, 52122, 50461, 52684, 52024, 51601, 53465, 52024, 50416, 50680, 50277, 51864, 53576, 50684, 50335, 52442, 50422, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 51864, 58892, 53797, 50860, 50680, 50277, 53662, 51805, 50834, 51809, 50680, 50277, 51864, 60170, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 50880, 54008, 52024, 52112, 50453, 52507, 52024, 54997, 52337, 50454, 56336, 52024, 50455, 53679, 52024, 50458, 53797, 50860, 50680, 50277, 53662, 51805, 50834, 51809, 50680, 50277, 51864, 60170, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 51864, 58892, 53797, 50860, 50680, 50277, 53662, 51805, 50834, 51809, 50680, 50277, 51864, 60170, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 51864, 58892, 53797, 50860, 50680, 50277, 50880, 53465, 52024, 58130, 54991, 56336, 52024, 54707, 51717, 50460, 52684, 52024, 50773, 50333, 52062, 50461, 55314, 52024, 51809, 50680, 50277, 51864, 60170, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 51864, 58892, 53797, 50860, 50680, 50277, 53662, 51805, 50834, 51809, 50680, 50277, 51864, 60170, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 50880, 54008, 52024, 56336, 52024, 54997, 52337, 52112, 50453, 52507, 52024, 50455, 53679, 52024, 50456, 50778, 50285, 51300, 50458, 53797, 50860, 50680, 50277, 53662, 51805, 50834, 51809, 50680, 50277, 51864, 63672, 51946, 52442, 50419, 53883, 52442, 50422, 53797, 50860, 50680, 50277, 53662, 51805, 64561, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 51864, 58892, 53797, 50860, 50680, 50277, 53662, 51805, 50834, 51809, 50680, 50277, 51864, 55927, 51284, 51060, 50422, 53797, 50860, 50680, 50277, 53662, 51805, 54316, 51182, 51178, 50428, 50680, 50277, 51864, 59311, 53797, 50860, 50680, 50277, 53662, 51805, 64562, 50680, 50277, 51864, 59484, 53797, 50860, 50680, 50277, 53662, 51805, 63075, 50680, 50277, 51864, 58892, 53797, 50860, 50680, 50277, 50930, 52684, 53002, 53465, 53002, 56336, 53002, 53215, 51732, 51883, 52570, 51113, 51801, 51093, 51801, 51266, 51801, 51935, 51005, 50823, 73148, 50778, 50273, 52570, 51809, 50680, 50277, 50930, 52509, 50846, 52754, 50818, 53619, 50818, 54410, 51187, 56493, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50428, 50680, 50277, 50930, 52509, 50846, 52754, 50884, 53619, 50818, 54410, 51239, 56999, 52754, 59347, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50440, 50680, 50277, 50930, 52509, 50828, 52754, 50884, 53619, 50846, 54410, 51467, 58431, 52509, 50828, 52754, 50818, 53619, 50818, 54410, 58275, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50452, 50680, 50277, 50930, 52509, 50818, 52754, 50818, 53619, 50841, 54410, 51187, 56637, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 51809, 50680, 50277, 50930, 52509, 50818, 52754, 50883, 53619, 50895, 54410, 51406, 56493, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50428, 50680, 50277, 50930, 52509, 50828, 52754, 50895, 53619, 50846, 54410, 51187, 56859, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50440, 50680, 50277, 50930, 52509, 50884, 52754, 50883, 53619, 50895, 54410, 51187, 58431, 52509, 50841, 52754, 50818, 53619, 50841, 54410, 55685, 53797, 50860, 50680, 50277, 50930, 52509, 50839, 52754, 50884, 53619, 50846, 54410, 53756, 50823, 51762, 50449, 52509, 50841, 52754, 50895, 53619, 50884, 54410, 61425, 50680, 50277, 50930, 52509, 50846, 52754, 50961, 53619, 50895, 54410, 55280, 50458, 53797, 50860, 50680, 50277, 50930, 52507, 53002, 54008, 53002, 53679, 53002, 56336, 53002, 53215, 51732, 51883, 52570, 51088, 51801, 51357, 51801, 51107, 51801, 50798, 50823, 51762, 51809, 50680, 50277, 50930, 53298, 50884, 52754, 50818, 53293, 50818, 54410, 51239, 56493, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50428, 50680, 50277, 50930, 53298, 50895, 52754, 50895, 53293, 50884, 54410, 55280, 50434, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50440, 50680, 50277, 50930, 53298, 50846, 52754, 50818, 53293, 50818, 54410, 51187, 58431, 53298, 50818, 52754, 50884, 53293, 50846, 54410, 57854, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50452, 50680, 50277, 50930, 53298, 50829, 52754, 50820, 53293, 50834, 54410, 51464, 56637, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 51809, 50680, 50277, 50930, 53298, 50828, 52754, 50841, 53293, 50839, 54410, 51467, 56493, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50428, 50680, 50277, 50930, 53298, 50846, 52754, 50818, 53293, 50818, 54410, 51187, 56859, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50440, 50680, 50277, 50930, 53298, 50818, 52754, 50895, 53293, 50818, 54410, 51187, 58431, 53298, 50846, 52754, 50846, 53293, 50828, 54410, 59673, 53797, 50860, 50680, 50277, 50930, 53298, 50828, 52754, 50884, 53293, 50828, 54410, 53852, 50823, 51762, 50449, 53298, 50828, 52754, 50818, 53293, 50846, 54410, 61425, 50680, 50277, 50930, 53298, 50828, 52754, 50884, 53293, 50818, 54410, 51239, 56637, 53797, 50860, 50680, 50277, 50930, 52684, 53002, 53465, 53002, 56336, 53002, 53215, 51732, 51883, 52570, 51113, 51801, 51093, 51801, 51266, 51801, 51935, 51005, 50823, 73148, 50778, 50273, 52570, 51809, 50680, 50277, 50930, 52509, 50846, 52754, 50818, 53619, 50818, 54410, 51187, 56493, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50428, 50680, 50277, 50930, 52509, 50846, 52754, 50884, 53619, 50818, 54410, 51239, 56999, 52754, 59347, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50440, 50680, 50277, 50930, 52509, 50828, 52754, 50884, 53619, 50846, 54410, 51467, 58431, 52509, 50828, 52754, 50818, 53619, 50818, 54410, 58275, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 50452, 50680, 50277, 50930, 52509, 50818, 52754, 50818, 53619, 50841, 54410, 51187, 56637, 53797, 50860, 50680, 50277, 54451, 50823, 51762, 51809, 50680, 50277, 50930, 52509, 50818, 52754 ]

[ 0, 250, 251, 2125, 9, 5175, 8, 19834, 930, 14, 7630, 6568, 10, 1619, 8, 822, 12, 3341, 5466, 4, 20, 13305, 8, 21979, 8669, 310, 5, 1049, 34879, 6, 7513, 30, 10, 6755, 12547, 6, 23338, 33518, 1264, 6, 8, 21072, 4, 20, 2125, 16, 11, 83, 3694, 6, 19, 10, 5705, 16331, 33215, 16739, 9, 1918, 6, 3676, 6, 274, 6, 8, 272, 4, 85, 11498, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 1328, 6, 2351, 10, 19448, 8, 11653, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52177, 51339, 53244, 51487, 58607, 51062, 51333, 50433, 51339, 51025, 50434, 51701, 52431, 51716, 52783, 52547, 52783, 51814, 51233, 50871, 51310, 50442, 76587, 50451, 63095, 71593, 52357, 72070, 51814, 50818, 52591, 51678, 52431, 51716, 52916, 52295, 51592, 51062, 51109, 51487, 51312, 50916, 51318, 50428, 71477, 50437, 51339, 71506, 51309, 50446, 51430, 53938, 50999, 51576, 50452, 51146, 51233, 50454, 51701, 52168, 52009, 52168, 52547, 55776, 51339, 51101, 50899, 51318, 51601, 71717, 51430, 74152, 51212, 50423, 51146, 60762, 53513, 51062, 63608, 51701, 54573, 51716, 53866, 52295, 51939, 77549, 50999, 51095, 51027, 51148, 50449, 50877, 51109, 50457, 70178, 52478, 51062, 64997, 50999, 57499, 51678, 60237, 52072, 55086, 52009, 51939, 50951, 51514, 50326, 51110, 50861, 51448, 50435, 73054, 50443, 69784, 50951, 51008, 50452, 51814, 59107, 51678, 52140, 51716, 52140, 52295, 52528, 51487, 51100, 51062, 51110, 72543, 50951, 51363, 50900, 51134, 55753, 50861, 50892, 50430, 51339, 63835, 53913, 51430, 62384, 51339, 64524, 51430, 64684, 51339, 56453, 51701, 57771, 52009, 53849, 52547, 55392, 50931, 51741, 50330, 51191, 50899, 51397, 50455, 50877, 51255, 51809, 50902, 50866, 50424, 69915, 50433, 50931, 52555, 51339, 56388, 51487, 50809, 51601, 51062, 51333, 50417, 51339, 51025, 50419, 51701, 52431, 51716, 53486, 52547, 53866, 51814, 51233, 50871, 51391, 57707, 55941, 63135, 76587, 57707, 52256, 50436, 71593, 52357, 50833, 50931, 69877, 51814, 53545, 51678, 52431, 51716, 52528, 52295, 52168, 51062, 51109, 51487, 51312, 50916, 51318, 52819, 61561, 71477, 56020, 51339, 71506, 51309, 50430, 51430, 56000, 50999, 51576, 50437, 51146, 51233, 50439, 51701, 52980, 52009, 51939, 52547, 52916, 51339, 51101, 50899, 51419, 51224, 63956, 71717, 51430, 74152, 51212, 51224, 60004, 51146, 60762, 50844, 51809, 51062, 59066, 51701, 51592, 51716, 52916, 52295, 52140, 77549, 50999, 51095, 51027, 51148, 51070, 59399, 51070, 70301, 50877, 51109, 51070, 52134, 50442, 70178, 51889, 53688, 50999, 67230, 51062, 66376, 52072, 51592, 52009, 51680, 52547, 51592, 50997, 51242, 73124, 51081, 51178, 51146, 51043, 57707, 55941, 50855, 52591, 63156, 57707, 52256, 50428, 50902, 66156, 76637, 59693, 51339, 61189, 51678, 52140, 51716, 53866, 52295, 52431, 74242, 51062, 50897, 51430, 50897, 50900, 51177, 52819, 65556, 51146, 63835, 50844, 57289, 51682, 50332, 60851, 51146, 61158, 51430, 69150, 51146, 60171, 51062, 61721, 51701, 53849, 52009, 53849, 52547, 55392, 50931, 51411, 51146, 51267, 50899, 51535, 51224, 67203, 79725, 51224, 51123, 50448, 66557, 50457, 50968, 50942, 52177, 50931, 57047, 62488, 51070, 57051, 51070, 52134, 50434, 51889, 64703, 52235, 51336, 51701, 54249, 52009, 55392, 52547, 57771, 50899, 51203, 57707, 55941, 61780, 50877, 50845, 57707, 52256, 52591, 50902, 57544, 52235, 50967, 50968, 59577, 56176, 51364, 50931, 52406, 50614, 65556, 56185, 50991, 51339, 50800, 51601, 56176, 50967, 50424, 56185, 50918, 51701, 52826, 51716, 55392, 52295, 53478, 51027, 50844, 71579, 50999, 51233, 51430, 51400, 51224, 53705, 70584, 51224, 51123, 50441, 50877, 51337, 50449, 53727, 50991, 50902, 78697, 53085, 50918, 77936, 51062, 62483, 50904, 50799, 51070, 51128, 50418, 51070, 52134, 50427, 51889, 55782, 53085, 67367, 53727, 50918, 52072, 54573, 52009, 51939, 52547, 52528, 50997, 51337, 51146, 51295, 57707, 55941, 70834, 50871, 50901, 57707, 52256, 50461, 63199, 55753, 53727, 51215, 51146, 59545, 53085, 50983, 51678, 51662, 51716, 52980, 52295, 52140, 50900, 51255, 51062, 51189, 52819, 53980, 66180, 50447, 53016, 51191, 50968, 52863, 50951, 73978, 50830, 51809, 52235, 53259, 51701, 53413, 52009, 53413, 52547, 53413, 75248, 50999, 79628, 52151, 51224, 61880, 50877, 51295, 51224, 51123, 50433, 73754, 50442, 50968, 75926, 50931, 61119, 66663, 51070, 71439, 51070, 52134, 53069, 51889, 61300, 52235, 51077, 51701, 53478, 52009, 53849, 52547, 56004, 50931, 51480, 50999, 51542, 50899, 51671, 57707, 55941, 62885, 50877, 51400, 57707, 52256, 50453, 50902, 51203, 50799, 56176, 50967, 50999, 52434, 50332, 74506, 56176, 51364, 51339, 52757, 50614, 67941, 58605, 50967, 51146, 63956, 61475, 58760, 56185, 51103, 51701, 52826, 51716, 57598, 52295, 53849, 50999, 51712, 50328, 51101, 51430, 51337, 51027, 52140, 51224, 50857, 52177, 50916, 52378, 51224, 51123, 79143, 73308, 53727, 50991, 50902, 64480, 53085, 51141, 50968, 50925, 51070, 57291, 51070, 51128, 50451, 51070, 52134, 50460, 52235, 51110, 51889, 50840, 52591, 53085, 51095, 51062, 50849, 50428, 53727, 51472, 52072, 52140, 52009, 52140, 52547, 52140, 50997, 51233, 51146, 51318, 50931, 51318, 57707, 55941, 59921, 50871, 51194, 57707, 52256, 50446, 64062, 50454, 56176, 50967, 50931, 51682, 50330, 50862, 51601, 56185, 51110, 51678, 51592, 51716, 53866, 52295, 52980, 50968, 51419, 51062, 51391, 50900, 51627, 52819, 56037, 53727, 66332, 62118, 56185, 64715, 62657, 53727, 50925, 50440, 53085, 51116, 50951, 69283, 61495, 53727, 51307, 51701, 53849, 52009, 53849, 52547, 55392, 50931, 51480, 51146, 79628, 52431, 51224, 64853, 50877, 51411, 51224, 51123, 52478, 50902, 53049, 50968, 66859, 50931, 50838, 51070, 70639, 51070, 51128, 50443, 51070, 52134, 50452, 51120, 62821, 61666, 62963, 50907, 58398, 51171, 51221, 51889, 61630, 72917, 50968, 51100, 51315, 51043, 50916, 52059, 50951, 51233, 51217, 51178, 55753, 52235, 50918, 51701, 53849, 51716, 55174, 52547, 53849, 70179, 78016, 50999, 51619, 50297, 51351, 51164, 53363, 57707, 55941, 61218, 50900, 51337, 50885, 51097, 57707, 52256, 57019, 62764, 51452, 50446, 52235, 51116, 50861, 57847, 52151, 50455, 53085, 51189, 50877, 51309, 50876, 51423, 73124, 50850, 51161, 52819, 50886, 60212, 52235, 51095, 59725, 50999, 50952, 50872, 51419, 50432, 53085, 50967, 50951, 57108, 53727, 51077, 51701, 57598, 51716, 55392, 52295, 53849, 51279, 50854, 51027, 51051, 72917, 50877, 52059, 50968, 51233, 51688, 54143, 51224, 54086, 50916, 51162, 50946, 54143, 51224, 51123, 50458, 80239, 50868, 51790, 53069, 53085, 51060, 50876, 50864, 50885, 51803, 50427, 53085, 63831, 51210, 50968, 66956, 64233, 51233, 51027, 52598, 50850, 51538, 51070, 54854, 51070, 51128, 50436, 51070, 76373, 56928, 64645, 50868, 51477, 51889, 58045, 50968, 62210, 60326, 50461, 53085, 50889, 52072, 52431, 52009, 52140, 52547, 52916, 51234, 51233, 50906, 52188, 50902, 51162, 50931, 51480, 52021, 51803, 57707, 55941, 50855, 56020, 50997, 67145, 52168, 57707, 52256, 50426, 53727, 50914, 50430, 50899, 51177, 50872, 51189, 50439, 53085, 51095, 50871, 50829, 66695, 50848, 51337, 50447, 53085, 51218, 51678, 51592, 51716, 52916, 52295, 51939, 50861, 68038, 51481, 75023, 50968, 51194, 51085, 51310, 51332, 51692, 52819, 55370, 63207, 50885, 51244, 51809, 53016, 51189, 57846, 59725, 50861, 57945, 57486, 51204, 50425, 50876, 58131, 77313, 52235, 51307, 51701, 53849, 52009, 53413, 52547, 53849, 51120, 51412, 50877, 52188, 73895, 50931, 51480, 51171, 52644, 51224, 63397, 51027, 51233, 50946, 53233, 51224, 59038, 50877, 76376, 79449, 56144, 51151, 50459, 50968, 61980, 67742, 52222, 52591, 50877, 51411, 50931, 51351, 50850, 51486, 51070, 63366, 51070, 51128, 50428, 51070, 52134, 50436, 51889, 61348, 51760, 51077, 51678, 52826, 52072, 53849, 52009, 53413, 51026, 51312 ]

[ 0, 713, 8787, 5175, 2125, 6, 30291, 19, 4785, 9, 3495, 6, 30853, 23, 10, 38451, 3938, 20889, 11, 5, 762, 9, 274, 538, 4, 660, 21979, 8669, 1239, 5, 483, 6, 2800, 30, 10, 6755, 12547, 6, 38668, 3038, 6, 21979, 9590, 6, 8, 21072, 4, 13231, 5, 15229, 6, 10, 16331, 33215, 16739, 9, 274, 6, 163, 428, 6, 230, 6, 274, 6, 8, 163, 428, 31473, 10, 1472, 9, 31657, 8, 30234, 4, 2265, 16364, 19, 15352, 30054, 16426, 6, 5, 2125, 7630, 6568, 10, 25306, 5466, 6, 45552, 6074, 12049, 9, 657, 8, 1007, 150, 6780, 10, 19448, 223, 28311, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 54021, 51134, 51064, 50879, 50970, 51637, 53271, 52263, 52735, 51469, 52886, 51469, 53718, 51469, 54855, 51469, 53620, 51469, 54037, 71062, 51397, 54407, 50418, 54407, 50419, 51064, 52034, 50420, 50970, 50879, 50422, 51067, 51254, 54722, 50426, 51438, 50955, 51064, 50879, 50903, 51551, 50791, 51033, 50430, 51067, 51108, 54407, 50432, 51032, 50893, 50434, 54021, 50862, 51064, 54788, 51210, 54722, 50437, 53271, 67608, 54021, 51295, 51067, 54187, 69601, 68563, 50970, 51477, 50442, 52653, 50443, 51064, 51412, 50444, 51032, 50893, 50446, 51067, 51174, 54722, 50450, 51438, 50942, 60848, 50903, 57838, 60278, 54407, 50455, 51067, 63234, 55784, 50458, 54021, 50809, 70753, 52653, 60653, 51115, 51064, 51965, 50929, 51274, 51064, 51274, 52562, 51447, 52735, 51196, 54339, 51196, 54307, 51196, 54855, 51196, 57364, 51196, 54318, 69831, 51397, 54407, 50418, 51549, 51412, 54407, 50422, 51563, 50972, 54722, 50426, 53019, 50878, 50903, 51551, 50791, 51033, 50430, 51563, 50972, 54407, 50432, 50947, 51685, 51032, 51685, 50434, 51930, 50840, 51549, 53835, 51210, 54722, 50438, 51793, 51115, 50970, 51965, 51504, 51447, 52036, 51356, 52430, 51356, 52626, 51356, 55431, 51356, 54646, 51356, 53605, 65506, 69601, 63792, 76425, 52653, 50446, 51032, 50972, 54722, 50450, 51438, 50878, 50903, 57838, 60278, 51032, 50972, 54407, 50458, 51793, 50840, 50947, 51589, 50959, 50799, 54021, 51134, 51064, 50893, 50970, 51318, 52735, 51696, 52886, 51696, 53718, 51696, 54855, 51696, 53620, 51696, 54037, 51696, 50798, 51397, 54407, 50418, 51064, 51852, 54407, 50420, 50970, 50879, 50422, 51067, 52782, 54722, 50426, 63139, 51438, 77461, 51551, 50791, 51033, 50430, 51067, 51852, 54407, 50432, 51032, 57775, 54021, 50862, 51064, 63834, 51210, 54722, 50438, 54021, 51295, 62978, 50970, 51961, 53271, 52598, 50798, 69601, 63792, 52653, 50443, 51064, 51852, 50444, 51032, 59830, 54722, 50447, 51067, 67042, 51064, 57429, 57838, 67098, 51438, 50978, 50454, 51067, 50959, 54407, 50456, 57304, 50458, 54021, 51421, 67419, 51064, 50867, 60653, 51115, 51136, 50879, 50929, 50879, 51064, 51965, 52562, 51447, 52735, 51196, 54339, 51196, 54307, 51196, 54855, 51196, 57364, 51196, 54318, 69831, 51397, 54407, 50418, 51549, 51412, 54407, 50420, 50970, 50879, 50947, 50879, 50422, 51563, 50972, 54722, 50426, 53019, 50878, 50929, 50879, 51064, 50879, 50903, 51551, 50791, 51033, 50430, 51563, 50972, 54407, 50432, 50970, 51685, 50947, 51685, 50434, 51930, 50840, 51549, 53835, 51210, 54722, 50438, 51793, 51115, 50970, 51965, 51504, 51447, 52036, 51551, 52430, 51551, 52626, 51551, 55431, 51551, 54646, 51551, 53605, 51551, 50798, 69601, 63792, 76425, 52653, 50446, 51032, 50972, 54722, 50450, 51438, 50878, 50903, 57838, 60278, 51032, 50972, 54407, 50458, 51793, 50840, 50947, 51589, 50959, 50799, 54021, 51134, 51064, 50893, 50970, 51318, 52735, 52017, 52886, 52017, 53718, 52017, 54855, 52017, 53620, 52017, 54037, 52017, 50798, 51397, 54407, 50418, 51064, 51852, 54407, 50420, 50970, 50893, 50422, 51067, 52782, 54722, 50426, 51064, 50893, 51438, 77461, 51551, 50791, 51033, 50430, 51067, 51852, 54407, 50432, 51032, 50893, 50434, 54021, 50862, 51064, 63834, 51210, 54722, 50438, 54021, 51295, 51067, 50893, 50970, 51961, 53271, 52598, 50798, 69601, 63792, 52653, 50443, 51064, 51852, 50444, 51032, 50893, 50446, 54722, 50447, 51067, 67042, 51064, 67664, 57838, 67098, 51438, 50978, 50454, 51067, 50959, 54407, 50456, 50947, 75642, 54021, 51421, 67419, 51064, 50867, 60653, 51115, 52562, 51108, 50929, 51343, 51064, 51477, 51064, 51343, 72187, 52598, 52735, 51336, 54339, 51336, 54307, 51336, 54855, 51336, 57364, 51336, 54318, 74903, 51397, 54407, 50418, 51549, 51645, 54407, 50422, 51563, 51051, 54722, 50426, 53019, 70571, 51551, 50791, 51033, 50430, 51563, 51481, 54407, 50432, 52562, 50959, 50947, 51685, 51032, 51685, 50434, 51930, 50840, 51064, 53590, 51210, 54722, 50438, 51793, 51115, 50970, 51965, 51504, 51447, 52036, 51336, 52430, 51336, 52626, 51336, 55431, 51336, 54646, 51336, 53605, 74903, 69601, 63792, 76425, 52653, 50446, 51032, 50972, 54722, 50450, 51438, 50878, 50903, 57838, 60278, 51032, 50972, 54407, 50458, 51793, 50840, 50947, 51589, 50959, 50799, 54021, 51134, 51064, 50893, 50970, 51318, 52735, 51655, 52886, 51655, 53718, 51655, 54855, 51655, 53620, 51655, 54037, 51655, 50798, 51397, 54407, 50418, 51064, 51852, 54407, 50420, 50970, 50893, 50422, 51067, 52782, 54722, 50426, 51064, 50893, 51438, 77461, 51551, 50791, 51033, 50430, 51067, 51852, 54407, 50432, 51032, 50893, 50434, 54021, 50862, 51064, 63834, 51210, 54722, 50438, 54021, 51295, 51067, 50893, 50970, 51961, 53271, 52598, 50798, 69601, 63792, 52653, 50443, 51064, 51852, 50444, 51032, 50893, 50446, 54722, 50447, 51067, 67042, 51064, 67664, 57838, 67098, 51438, 50978, 50454, 51067, 50959, 54407, 50456, 50947, 75642, 54021, 51421, 67419, 51064, 50867, 60653, 51115, 51136, 50893, 50929, 50893, 52562, 51108, 51064, 51477, 72187, 52598, 52735, 51336, 54339, 51336, 54307, 51336, 54855, 51336, 57364, 51336, 54318, 74903, 51397, 54407, 50418, 51549, 51645, 54407, 50420, 50970, 50893, 50947, 50893, 50422, 51563, 51051, 54722, 50426, 53019, 50866, 50929, 50893, 51064, 67664, 51551, 50791, 51033, 50430, 51563, 51481, 54407, 50432, 52562, 50959, 50970, 51896, 50947, 51896, 50434, 51930, 50840, 51064, 53590, 51210, 54722, 50438, 51793, 51115, 51504, 51108, 50970, 51477, 58397, 52598, 52036, 51336, 52430, 51336, 52626, 51336, 55431, 51336, 54646, 51336, 53605, 74903, 69601, 63792, 50947, 51645, 52653, 50446, 51032, 51051, 54722, 50450, 51438, 70571, 57838, 60278, 51032, 51481, 54407, 50456, 51504, 63321, 51793, 50840, 65317, 52653, 60653, 51115, 51136, 50879, 50929, 50879, 51064, 51965, 52562, 51447, 52735, 51336, 54339, 51336, 54307, 51336, 54855, 51336, 57364, 51336, 54318, 74903, 51397, 54407, 50418, 51549, 51412, 54407, 50420, 59205, 57304, 50422, 51563, 50972, 54722, 50426, 53019, 50878, 61675, 51064, 57429, 51551, 50791, 51033, 50430, 51563, 50972, 54407, 50432, 50970, 51623, 50947, 51623, 50434, 51930, 50840, 51549, 53835, 51210, 54722, 50438, 51793, 51115, 51504, 51108, 50970, 51477, 58397, 52598, 52036, 51336, 52430, 51336, 52626, 51336, 55431, 51336, 54646, 51336, 53605, 74903, 69601, 63792, 50947, 51645, 52653, 50446, 51032, 51051, 54722, 50450, 51438, 70571, 57838, 60278, 51032, 51481, 54407, 50456, 51504, 63321, 51793, 50840, 65317, 52653, 60653, 51134, 51136, 50805, 63755, 51064, 51637, 52562, 52263, 52735, 51655, 54339, 51655, 54307, 51655, 54855, 51655, 57364, 51655, 54318, 51655, 50798, 51397, 54407, 50418, 54407, 50419, 51549, 52034, 50420, 67830, 66309, 50422, 51563, 51254, 54722, 50426, 53019, 50955, 50929, 51036, 51064, 51036, 50903, 51551, 50791, 51033, 50430, 51563, 51108, 54407, 50434, 51930, 50862, 51549, 54788, 51210, 54722, 50437, 52562, 67608, 51930, 66646, 69601, 68563, 51064, 51477, 72187, 51878, 50442, 52653, 50443, 51549, 51412, 50446, 51563, 51174, 54722, 50450, 53019, 50942, 50903, 57838, 60278, 54407, 50455, 51563, 75574, 51930, 50809, 51549, 50857, 52653, 60653, 51134, 51064, 51318, 52735, 51655, 54339, 51655, 54307, 51655, 54855, 51655, 57364, 51655, 54318, 51655, 50798, 51397, 54407, 50856, 50915, 50418, 51549, 51852, 54407 ]

[ 0, 250, 5679, 26709, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 980, 8, 26545, 4, 16241, 212, 22052, 8, 18569, 1045, 10, 32625, 2369, 18795, 6, 19, 5, 2125, 25451, 23, 41, 178, 5285, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 24, 1575, 10, 33215, 16739, 9, 3676, 6, 1918, 6, 211, 119, 6, 272, 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, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 52233, 54014, 53091, 51115, 55500, 51115, 51821, 55040, 52233, 54356, 51821, 54752, 54142, 50813, 52233, 61219, 53956, 50813, 50799, 53956, 51134, 67348, 51452, 51678, 55085, 52233, 54278, 51678, 53961, 54142, 50866, 52233, 54014, 54240, 51714, 51678, 55040, 52233, 54356, 61372, 51025, 51678, 54752, 52233, 50866, 50799, 57054, 51115, 52091, 55085, 52233, 54278, 52091, 53961, 52233, 54014, 54240, 51115, 67348, 51115, 52091, 55040, 52233, 54356, 52091, 54752, 53956, 50813, 52233, 61219, 54142, 50813, 50799, 54142, 50866, 55825, 51115, 51821, 55085, 53956, 51047, 52233, 54278, 51821, 53961, 52233, 54014, 55825, 51025, 51821, 55040, 53956, 50866, 52233, 54356, 54240, 50866, 57054, 51025, 51821, 54752, 53956, 51397, 52233, 50866, 50799, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 53091, 50866, 52233, 54014, 53775, 51134, 55500, 51115, 51821, 55040, 52233, 54356, 51821, 54752, 53091, 50866, 52233, 50866, 50799, 53091, 51134, 54064, 51115, 52072, 55085, 51821, 54278, 52072, 53961, 53136, 50866, 51821, 54014, 53136, 51422, 55500, 51115, 52072, 55040, 51821, 54356, 52072, 54752, 51701, 50866, 50799, 55464, 51115, 51678, 55085, 52016, 54278, 51678, 53961, 53136, 50866, 52016, 54014, 53807, 51134, 55464, 51115, 51678, 55040, 52016, 54356, 51678, 54752, 54173, 50866, 52016, 50866, 50799, 53091, 52644, 67348, 51452, 52091, 55085, 52233, 54278, 52091, 53961, 52233, 54014, 52091, 55040, 52233, 54356, 67348, 51025, 51678, 54752, 51821, 50866, 50799, 57054, 51452, 52091, 55085, 52233, 54278, 52091, 53961, 52233, 54014, 53091, 51134, 52091, 55040, 52233, 54356, 67348, 51025, 52091, 54752, 54142, 50813, 52233, 61219, 53956, 50813, 50799, 53956, 51134, 61372, 51115, 51678, 55085, 52233, 54278, 51678, 53961, 54142, 50866, 52233, 54014, 54142, 51422, 55464, 51025, 51678, 55040, 52233, 54356, 55825, 51025, 51678, 54752, 51821, 50866, 50799, 67348, 51115, 52091, 55085, 52233, 54278, 52091, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 57054, 51115, 52091, 55040, 52233, 54356, 52091, 54752, 54142, 50866, 52233, 50866, 50799, 54240, 51134, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 53956, 50866, 52233, 54014, 53956, 53295, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 52233, 50866, 50799, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 52233, 54014, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 52233, 50866, 50799, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 54142, 50866, 52233, 50866, 50799, 54240, 51134, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 53956, 50866, 52233, 54014, 53956, 51422, 51821, 55040, 52233, 54356, 55464, 51025, 51821, 54752, 52233, 50866, 50799, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 55825, 51025, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 54142, 50866, 52233, 50866, 50799, 54142, 51452, 55464, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 52233, 54014, 51821, 55040, 53956, 50866, 52233, 54356, 53956, 50866, 57054, 51025, 51821, 54752, 54240, 50866, 52233, 50866, 50799, 53956, 51134, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 53091, 50866, 52233, 54014, 53775, 51134, 55500, 51115, 51821, 55040, 52233, 54356, 51821, 54752, 53091, 50866, 52233, 50866, 50799, 53091, 51134, 54064, 51115, 52072, 55085, 51821, 54278, 52072, 53961, 53136, 50866, 51821, 54014, 53136, 51422, 54064, 51025, 52072, 55040, 51821, 54356, 55500, 51025, 52072, 54752, 51701, 50866, 50799, 55464, 51452, 51678, 55085, 52016, 54278, 51678, 53961, 53136, 50866, 52016, 54014, 53807, 51134, 51678, 55040, 52016, 54356, 67348, 51025, 51678, 54752, 54173, 50866, 52016, 50866, 50799, 53091, 52644, 55500, 51452, 51701, 55085, 52091, 54278, 51701, 53961, 52091, 54014, 51701, 55040, 52091, 54356, 55825, 51025, 51701, 54752, 51678, 50866, 50799, 61372, 51115, 51821, 55085, 52016, 54278, 51821, 53961, 52016, 54014, 53091, 51134, 55825, 51115, 51821, 55040, 52016, 54356, 51821, 54752, 54142, 50813, 52016, 61219, 53956, 50813, 50799, 53956, 51134, 55464, 51115, 51678, 55085, 52016, 54278, 51678, 53961, 54142, 50866, 52016, 54014, 54142, 51422, 55464, 51025, 51678, 55040, 52016, 54356, 55825, 51025, 51678, 54752, 51821, 50866, 50799, 67348, 51115, 52091, 55085, 52233, 54278, 52091, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 55464, 51115, 52091, 55040, 52233, 54356, 52091, 54752, 54142, 50866, 52233, 50866, 50799, 54240, 51134, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 53956, 50866, 52233, 54014, 53956, 51115, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 52233, 50866, 50799, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 54142, 50866, 52233, 50866, 50799, 54240, 51134, 55825, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 53956, 50866, 52233, 54014, 53956, 51422, 51821, 55040, 52233, 54356, 55464, 51025, 51821, 54752, 52233, 50866, 50799, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 55825, 51025, 51821, 55040, 52233, 54356, 57054, 51025, 51821, 54752, 54142, 50866, 52233, 50866, 50799, 54142, 51452, 55464, 51452, 51821, 55085, 52233, 54278, 51821, 53961, 52233, 54014, 51821, 55040, 53956, 50866, 52233, 54356, 53956, 50866, 57054, 51025, 51821, 54752, 54240, 50866, 52233, 50866, 50799, 53956, 51134, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 53091, 50866, 52233, 54014, 53775, 51134, 55500, 51115, 51821, 55040, 52233, 54356, 51821, 54752, 53091, 50866, 52233, 50866, 50799, 53091, 51134, 54064, 51115, 52072, 55085, 51821, 54278, 52072, 53961, 53136, 50866, 51821, 54014, 53136, 51422, 54064, 51025, 52072, 55040, 51821, 54356, 55500, 51025, 52072, 54752, 51701, 50866, 50799, 55464, 51452, 51678, 55085, 52016, 54278, 51678, 53961, 53136, 50866, 52016, 54014, 53807, 51134, 51678, 55040, 52016, 54356, 67348, 51025, 51678, 54752, 54173, 50866, 52016, 50866, 50799, 53091, 52644, 55500, 51452, 51701, 55085, 52091, 54278, 51701, 53961, 52091, 54014, 51701, 55040, 52091, 54356, 55825, 51025, 51701, 54752, 51678, 50866, 50799, 61372, 51115, 51821, 55085, 52016, 54278, 51821, 53961, 52016, 54014, 53091, 51134, 55825, 51115, 51821, 55040, 52016, 54356, 51821, 54752, 54142, 50813, 52016, 61219, 53956, 50813, 50799, 53956, 51134, 55464, 51115, 51678, 55085, 52016, 54278, 51678, 53961, 54142, 50866, 52016, 54014, 54142, 51422, 55464, 51025, 51678, 55040, 52016, 54356, 55825, 51025, 51678, 54752, 51821, 50866, 50799, 67348, 51115, 52091, 55085, 52233, 54278, 52091, 53961, 54240, 50866, 52233, 54014, 53091, 51134, 55464, 51115, 52091, 55040, 52233, 54356, 52091, 54752, 54142, 50866, 52233, 50866, 50799, 54240, 51134, 55825, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 53956, 50866, 52233, 54014, 53956, 51422, 55500, 51025, 51821, 55040, 52233, 54356, 55825, 51025, 51821, 54752, 52233, 50866, 50799, 61372, 51115, 51821, 55085, 52233, 54278, 51821, 53961, 53091, 50866, 52233, 54014 ]

[ 0, 250, 15855, 13305, 2125, 11, 83, 3694, 6, 42, 765, 2214, 7630, 6568, 10, 2933, 8, 3722, 5466, 6, 442, 24, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 16739, 9, 1918, 6, 234, 6, 1918, 6, 234, 6, 8, 83, 406, 73, 347, 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, 0, 0, 0, 0 ]

[ 57530, 51339, 51422, 50902, 51151, 50450, 51430, 50915, 68818, 51422, 50450, 51430, 50915, 68818, 55382, 51487, 54975, 51339, 55247, 51430, 50915, 68818, 60610, 51487, 51047, 50799, 51814, 51422, 50999, 51151, 50450, 51487, 50915, 50799, 51814, 51422, 50450, 51487, 50915, 50799, 51814, 55382, 52052, 54975, 51814, 55247, 51487, 50915, 68818, 60610, 51487, 51047, 68818, 51422, 50902, 51151, 50450, 51430, 50915, 68818, 51422, 50450, 51430, 50915, 68818, 55382, 51487, 54975, 51339, 55247, 51430, 50915, 68818, 60610, 51487, 51047, 50799, 51814, 51422, 50951, 51151, 50450, 51487, 50915, 50799, 51814, 51422, 50450, 51487, 50915, 50799, 51814, 55382, 52052, 54975, 51814, 55247, 51487, 50915, 68818, 60610, 51487, 51047, 50799, 51814, 51047, 51146, 51151, 50438, 52052, 53999, 51814, 53562, 51487, 53586, 51339, 50845, 50799, 51814, 60610, 52052, 53999, 51814, 53562, 51487, 53586, 51339, 50845, 76502, 60610, 51339, 53999, 51430, 53562, 51146, 53586, 51062, 50845, 62529, 55382, 51430, 54975, 51062, 51047, 58479, 51047, 50902, 51151, 50438, 51081, 53999, 50999, 53562, 50951, 53586, 50931, 50845, 58479, 60610, 51081, 53999, 50999, 53562, 50951, 53586, 50931, 50845, 57289, 60610, 50931, 53999, 50968, 53562, 50902, 53586, 50876, 50845, 55331, 55382, 50968, 54975, 50876, 55247, 50877, 50915, 55331, 60610, 74655, 55331, 60610, 74655, 58479, 51047, 50902, 51151, 50438, 51081, 53999, 50999, 53562, 50951, 53586, 50931, 50845, 58479, 51151, 58479, 51047, 50902, 51151, 50438, 51081, 53999, 50999, 53562, 50951, 53586, 50931, 50845, 56807, 60610, 51062, 51047, 50799, 51814, 51047, 51146, 51151, 50438, 52052, 53999, 51814, 53562, 51487, 53586, 51339, 50845, 50799, 51814, 51151, 50799, 51814, 51047, 51146, 51151, 50438, 52052, 53999, 51814, 53562, 51487, 53586, 51339, 50845, 75464, 60610, 52357, 51047, 50799, 51814, 55382, 51146, 54975, 51487, 55247, 51146, 50915, 68818, 55382, 51430, 51422, 58479, 55382, 50902, 54975, 50951, 55247, 50902, 50915, 56229, 55382, 50968, 51422, 54852, 50915, 53337, 54975, 50861, 55247, 50899, 50915, 57448, 50871, 55382, 50624, 50916, 54975, 50623, 50899, 55247, 50621, 50900, 50915, 58106, 50619, 50899, 51151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 20425, 5175, 1349, 6, 30291, 19, 3152, 4785, 6, 1575, 10, 36075, 8669, 6, 13305, 6, 21072, 6, 17605, 9590, 6, 8, 38668, 483, 6, 2351, 10, 6878, 11739, 9, 2933, 8, 15352, 30054, 23225, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 6, 5, 2214, 11498, 10, 204, 73, 306, 86, 6543, 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 ]

[ 58375, 51528, 51097, 50852, 51380, 51302, 51097, 50852, 51097, 53550, 51058, 50852, 51058, 52129, 56697, 50852, 51058, 53462, 50974, 51528, 51097, 50852, 51097, 51302, 51380, 50852, 74048, 50852, 60344, 50974, 52129, 56697, 50852, 50974, 53462, 56573, 50798, 50907, 57752, 78707, 51380, 51302, 51380, 50852, 51097, 53550, 64192, 50974, 52129, 56697, 50852, 50974, 53462, 50974, 57752, 78707, 78804, 50852, 59975, 51097, 51450, 55095, 50576, 55095, 50579, 73241, 52356, 59356, 51224, 55095, 50579, 50874, 52129, 51008, 51289, 55095, 50576, 75553, 51289, 50374, 53120, 54105, 51456, 55095, 50581, 54923, 50874, 55594, 70184, 51456, 55095, 50581, 54900, 51326, 55095, 50579, 54923, 50874, 53907, 73316, 51456, 55095, 50576, 50874, 51528, 51097, 51289, 51097, 50843, 51380, 51155, 50886, 51046, 50886, 51075, 50886, 53283, 51097, 53633, 50806, 52399, 51380, 51155, 50874, 51046, 50874, 51075, 53881, 50843, 51380, 50804, 51380, 79950, 51075, 50974, 51155, 50874, 53283, 51380, 54931, 52686, 50843, 51380, 51885, 50974, 51511, 50974, 51548, 56298, 50843, 51380, 51289, 57685, 51058, 51386, 50874, 51063, 50874, 51143, 50874, 53283, 51097, 53482, 52692, 51326, 66666, 51380, 51386, 50874, 51063, 50874, 51143, 50874, 51382, 51380, 50843, 51380, 51386, 50974, 51063, 50974, 51143, 50974, 53283, 51380, 54664, 52935, 50852, 51380, 51521, 50974, 51511, 50974, 51548, 50974, 55022, 50874, 51528, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 53283, 51477, 53633, 50806, 52399, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 51302, 51380, 50843, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 54931, 52309, 50843, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 54505, 50974, 51450, 51380, 50843, 51380, 51521, 50874, 51046, 50874, 51143, 50874, 53283, 51380, 54198, 52692, 50843, 51380, 51143, 50874, 51521, 50874, 51046, 50874, 61290, 50821, 51382, 51380, 50843, 51380, 51521, 50874, 51046, 50874, 51143, 50874, 53907, 51058, 54198, 52931, 50852, 51380, 51521, 50874, 51046, 50874, 51143, 50874, 53787, 50974, 61290, 50821, 51528, 56395, 50874, 51521, 50874, 52305, 50874, 51511, 50874, 53283, 51380, 55356, 50806, 53440, 50874, 52399, 50974, 51521, 50874, 51511, 50874, 52305, 50874, 51302, 66666, 50974, 52305, 50874, 51521, 50874, 51511, 50874, 53283, 51097, 56915, 52309, 50852, 50974, 52305, 50874, 51521, 50874, 51511, 50874, 51450, 63660, 51058, 51521, 50874, 51348, 50874, 51611, 50874, 53787, 50974, 54198, 52692, 71810, 51521, 50874, 51611, 50874, 51348, 50874, 52998, 51477, 54198, 50974, 51382, 66666, 50974, 51611, 50874, 51521, 50874, 51348, 50874, 54198, 52931, 50852, 50974, 51611, 50874, 51521, 50874, 51348, 50874, 54198, 50974, 51528, 50974, 51046, 50874, 51155, 50874, 51075, 50874, 55594, 51939, 53633, 50806, 52399, 50874, 51155, 50874, 51046, 50874, 51075, 50874, 54931, 56174, 50843, 50874, 51302, 63660, 51058, 51155, 50874, 51046, 50874, 51075, 50874, 53633, 52309, 50852, 50974, 51155, 50874, 51046, 50874, 51075, 50874, 54931, 50874, 51450, 51380, 51224, 51380, 51335, 51380, 55596, 51380, 51063, 51380, 51075, 51380, 52341, 51380, 51843, 51380, 54330, 72208, 51326, 51380, 51206, 78707, 51380, 51296, 51380, 51211, 51380, 51843, 51380, 51278, 51380, 51143, 51380, 53907, 50974, 53797, 51380, 54289, 76342, 53787, 51058, 51528, 51097, 51289, 51097, 50843, 51380, 51155, 50886, 51046, 50886, 51075, 50886, 53283, 51097, 53633, 50806, 52399, 51380, 51155, 50874, 51046, 50874, 51075, 53881, 50843, 51380, 50804, 51380, 79950, 51075, 50974, 51155, 50874, 53283, 51380, 54931, 52686, 50843, 51380, 51885, 50974, 51511, 50974, 51548, 56298, 50843, 51380, 51289, 57685, 51058, 51386, 50874, 51063, 50874, 51143, 50874, 53283, 51097, 53482, 52692, 51326, 66666, 51380, 51386, 50874, 51063, 50874, 51143, 50874, 51382, 51380, 50843, 51380, 51386, 50974, 51063, 50974, 51143, 50974, 53283, 51380, 54664, 52935, 50852, 51380, 51521, 50974, 51511, 50974, 51548, 50974, 55022, 50874, 51528, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 53283, 51477, 53633, 50806, 52399, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 51302, 51380, 50843, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 54931, 52309, 50843, 51380, 51155, 50874, 51046, 50874, 51075, 50874, 54505, 50974, 51450, 51380, 50843, 51380, 51521, 50874, 51046, 50874, 51143, 50874, 53283, 51380, 54198, 52692, 50843, 51380, 51143, 50874, 51521, 50874, 51046, 50874, 61290, 50821, 51382, 51380, 50843, 51380, 51521, 50874, 51046, 50874, 51143, 50874, 53907, 51058, 54198, 52931, 50852, 51380, 51521, 50874, 51046, 50874, 51143, 50874, 53787, 50974, 61290, 50821, 51528, 56395, 50874, 51521, 50874, 52305, 50874, 51511, 50874, 53283, 51380, 55356, 50806, 53440, 50874, 52399, 50974, 51521, 50874, 51511, 50874, 52305, 50874, 51302, 66666, 50974, 52305, 50874, 51521, 50874, 51511, 50874, 53283, 51097, 56915, 52309, 50852, 50974, 52305, 50874, 51521, 50874, 51511, 50874, 51450, 63660, 51058, 51521, 50874, 51348, 50874, 51611, 50874, 53787, 50974, 54198, 52692, 71810, 51521, 50874, 51611, 50874, 51348, 50874, 52998, 51477, 54198, 50974, 51382, 66666, 50974, 51611, 50874, 51521, 50874, 51348, 50874, 54198, 52931, 50852, 50974, 51611, 50874, 51521, 50874, 51348, 50874, 54198, 50974, 51528, 50974, 51046, 50874, 51155, 50874, 51075, 50874, 55594, 51939, 53633, 50806, 52399, 50874, 51155, 50874, 51046, 50874, 51075, 50874, 54931, 56174, 50843, 50874, 51302, 63660, 51058, 51155, 50874, 51046, 50874, 51075, 50874, 53633, 52309, 50852, 50974, 51155, 50874, 51046, 50874, 51075, 50874, 54931, 50874, 51450, 51380, 51224, 51380, 51335, 51380, 58497, 51380, 51473, 51380, 51548, 51380, 52294, 51380, 51843, 51380, 54198, 72208, 51326, 51380, 51206, 78707, 51380, 52305, 51380, 51529, 51380, 51843, 51380, 51521, 51380, 51143, 51380, 56915, 51380, 55356, 51055, 51201, 56711, 51395, 51058, 50799, 56139, 52337, 51107, 51244, 65638, 52337, 50415, 52303, 52337, 51687, 52337, 51231, 52337, 50416, 51414, 52337, 51457, 52337, 51825, 52337, 50438, 51165, 51244, 63535, 51244, 50432, 50852, 55084, 50434, 50852, 52794, 50435, 50852, 52462, 50436, 50852, 52101, 50438, 50852, 51550, 51165, 51244, 50440, 50852, 51252, 50442, 50852, 51269, 56960, 51022, 50446, 50852, 50984, 50448, 50852, 56881, 50852, 50874, 50799, 55285, 52337, 51093, 51939, 64036, 52337, 50415, 53075, 52337, 52303, 52337, 51410, 52337, 50416, 51303, 52337, 51249, 52337, 50417, 51457, 52337, 50450, 51107, 51380, 66325, 68116, 51201, 59124, 50856, 50874, 51395, 51380, 55858, 50874, 56139, 52337, 51107, 51244, 65638, 52337, 50415, 52303, 52337, 51687, 52337, 51231, 52337, 50416, 51414, 52337, 51457, 52337, 50417, 51825, 52337, 50438, 51165, 51244, 63535, 68116, 51201, 51244, 56960, 55084, 50446, 50852, 52794, 50447, 50852, 52462, 50448, 50852, 67218, 50852, 51550, 50452, 50852, 51252, 50454, 50852, 51269, 56672, 51022, 60651, 50984, 50460, 50852, 50984, 57752, 50874, 56698, 51445, 53248, 51445, 51093, 51445, 57697, 52337, 50415, 53075, 51445, 51465, 51445, 50416, 51249, 51445, 51327, 51445, 50417, 51818, 51445, 50418, 51981, 51445, 56672, 52101, 60506, 51252, 57752, 50984, 56698, 51445, 50415, 53248, 51445, 53075, 51445, 51465, 51445, 50416, 51414, 51445, 51327, 51445, 51980, 51445, 51981, 51445, 52320, 50974 ]

[ 0, 250, 19448, 3495, 8, 19834, 2214, 14, 7630, 6568, 10, 1619, 8, 822, 12, 3341, 5466, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 1515, 21305, 6, 21072, 6, 8, 21979, 8669, 4, 20, 2125, 16, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 9, 4430, 13410, 228, 2289, 6, 21437, 10, 33215, 16739, 9, 274, 6, 163, 428, 6, 230, 10431, 401, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57528, 50459, 50902, 52263, 50460, 50906, 51477, 50461, 50931, 51477, 60820, 72107, 73764, 50931, 65470, 50871, 50808, 50902, 52599, 62198, 50968, 52831, 66252, 50916, 60204, 51040, 71304, 54803, 64782, 50968, 52741, 67564, 50989, 50959, 50453, 66461, 50876, 52643, 50900, 77439, 54421, 50989, 78222, 50950, 71091, 55694, 51204, 50902, 51204, 50871, 51364, 50431, 50906, 57748, 74790, 50951, 53263, 67243, 51114, 77439, 59826, 50965, 53177, 50316, 71064, 64466, 51234, 55982, 51324, 52935, 51085, 57264, 51120, 50800, 55694, 51203, 51001, 51116, 50951, 51221, 51197, 52195, 50426, 50947, 73485, 51852, 51001, 51255, 50951, 51221, 50429, 50929, 53911, 50947, 56966, 51064, 51291, 51234, 52691, 50906, 77410, 51800, 50322, 51800, 50295, 51527, 65851, 51412, 51001, 51221, 51114, 69960, 75045, 61894, 67782, 51363, 50902, 51255, 75248, 51234, 66403, 50970, 51977, 60718, 51203, 51147, 51203, 51062, 51255, 51176, 53912, 50902, 51203, 50951, 51221, 51081, 51255, 51026, 55082, 51234, 64830, 73273, 51734, 50324, 73559, 51324, 54353, 51085, 53848, 51120, 50800, 55694, 51203, 51001, 51116, 50951, 51221, 51197, 52195, 50426, 50947, 73485, 51852, 51001, 51255, 50951, 51221, 50429, 50929, 53627, 50947, 56966, 51064, 51189, 51234, 52841, 50906, 77410, 51800, 50322, 51800, 50295, 51527, 65851, 51412, 51001, 51221, 51114, 51203, 50454, 51032, 65372, 51064, 50924, 61894, 51518, 50906, 51363, 50902, 51255, 75248, 51234, 51013, 50425, 50902, 73969, 51147, 51203, 51062, 51255, 51176, 56509, 50902, 51203, 50951, 51221, 51081, 51255, 51026, 57197, 51234, 64830, 73273, 51734, 50324, 73559, 51324, 52935, 51085, 56860, 51120, 50800, 55694, 51203, 51001, 51116, 50951, 51221, 51197, 51661, 50426, 50947, 73485, 51852, 51001, 51255, 50951, 51221, 50429, 50929, 53627, 50947, 56966, 63139, 51234, 52729, 50906, 77410, 51800, 50322, 51800, 50295, 51196, 50441, 51032, 51551, 65851, 51412, 51001, 51221, 51114, 51203, 55694, 71274, 60763, 52297, 50319, 52530, 50294, 64739, 51549, 60599, 51218, 71241, 51110, 51001, 51233, 50876, 73377, 51067, 54993, 64921, 50876, 57449, 64924, 76195, 51077, 50441, 51067, 54811, 51064, 51294, 50906, 51218, 56415, 51162, 50902, 51377, 56178, 50991, 71356, 75244, 51085, 55834, 50956, 50991, 71356, 50876, 78265, 51067, 51235, 64574, 51255, 66180, 50906, 51534, 51050, 63883, 51032, 53401, 51064, 51227, 62291, 51238, 71356, 50906, 51412, 50456, 51032, 51274, 50459, 51064, 51541, 54578, 51446, 51234, 51356, 50997, 51680, 50899, 52015, 50426, 51326, 69574, 55649, 73764, 50931, 65470, 50871, 50808, 50902, 52599, 62198, 50968, 52831, 66252, 50916, 60204, 51040, 71304, 52406, 50578, 56156, 64782, 50968, 52476, 50581, 56385, 50623, 67564, 50989, 50959, 51456, 56353, 66461, 50876, 52643, 50900, 77439, 79336, 60451, 50989, 78222, 50950, 71091, 55556, 51336, 50997, 51411, 50899, 51480, 50871, 51480, 51234, 51336, 58366, 51145, 53181, 52096, 51863, 52829, 51206, 53618, 51427, 52399, 52437, 50960, 65758, 51363, 50871, 51221, 50997, 79427, 54473, 51021, 50429, 50970, 54154, 50960, 52847, 53908, 51032, 79890, 52950, 51181, 50918, 50997, 79628, 51411, 50871, 51025, 50965, 51162, 51120, 51356, 55430, 51047, 76935, 51354, 50444, 51064, 51226, 50843, 53068, 50871, 51233, 50899, 51363, 50965, 51221, 50997, 79427, 54473, 58133, 50843, 54625, 50798, 50820, 54293, 51661, 50997, 51253, 50900, 51380, 50956, 58104, 51267, 51197, 51285, 66987, 65108, 57166, 51307, 52399, 54477, 51246, 52639, 51246, 68519, 50991, 79269, 50997, 51480, 50900, 51775, 50816, 51594, 54660, 50986, 53974, 51246, 52154, 54002, 50970, 68984, 50841, 55545, 51077, 50956, 51162, 50997, 51199, 50900, 51709, 50989, 51048, 51197, 65506, 50930, 52093, 50444, 51136, 51226, 50843, 53057, 50900, 51645, 50956, 51203, 50989, 51203, 50997, 51484, 50816, 51508, 53173, 50852, 54814, 50798, 50829, 55556, 51103, 50997, 51480, 50899, 51411, 50871, 51377, 51234, 51127, 58366, 51127, 66987, 50821, 52399, 52639, 50960, 65758, 51203, 50871, 51124, 50997, 59330, 52538, 58465, 50970, 54154, 50960, 52847, 53593, 51032, 58571, 53116, 51181, 50918, 50997, 51411, 50899, 51480, 50871, 51400, 50965, 51346, 51120, 51336, 55430, 51183, 57207, 53885, 51064, 51290, 50843, 52802, 50871, 51312, 50965, 51267, 50997, 61849, 64989, 51739, 52881, 51064, 59893, 50828, 60938, 51336, 51338, 51356, 50997, 79628, 51411, 50916, 51377, 50861, 51400, 51085, 50918, 53817, 50807, 55793, 51047, 53883, 64391, 50858, 52093, 52399, 52762, 50997, 51255, 50899, 51203, 68575, 71356, 51881, 50807, 51782, 50969, 54440, 50843, 54248, 50798, 53116, 51078, 52097, 51857, 51551, 51027, 51025, 51040, 61829, 51159, 50989, 51159, 51324, 51551, 53100, 51013, 57570, 51103, 66951, 66972, 62146, 51103, 54032, 53083, 50989, 51043, 51027, 51363, 51040, 51255, 50956, 51221, 57633, 51090, 55359, 54363, 50816, 54647, 51326, 60451, 51326, 50961, 55556, 51356, 50997, 79628, 51411, 50871, 51025, 51234, 51148, 58366, 51047, 54720, 51145, 53181, 51183, 53151, 51293, 62305, 53227, 50960, 54640, 54477, 50960, 52437, 50960, 50859, 50997, 51221, 50899, 51203, 50871, 51255, 70683, 52112, 50429, 50970, 52686, 50960, 55509, 54487, 51032, 79890, 53219, 51181, 51103, 50997, 51400, 50899, 51480, 50871, 51400, 50965, 51377, 51120, 51103, 51881, 51056, 55430, 64250, 50890, 52093, 50444, 51064, 66555, 52725, 50899, 59198, 68468, 74492, 51233, 51881, 50805, 79211, 54403, 52133, 59301, 54943, 51881, 50942, 54293, 51336, 50997, 51267, 78120, 50956, 58104, 51267, 51197, 50918, 52402, 78464, 52816, 73701, 57166, 51151, 52399, 54477, 51246, 53950, 50986, 50940, 50900, 51363, 50956, 51221, 50861, 51255, 50997, 51480, 50816, 52374, 52209, 51246, 56690, 54487, 50970, 51235, 67003, 55545, 51077, 50997, 51411, 50900, 51480, 50956, 51346, 50989, 51400, 51197, 51103, 52133, 51183, 62113, 53239, 51136, 66555, 53083, 50956, 51377, 50989, 51377, 50997, 51253, 78120, 75579, 56332, 53555, 50852, 54370, 50960, 52090, 50828, 50799, 58870, 51181, 79230, 51124, 50899, 51363, 50989, 51221, 50877, 51412, 51120, 50914, 55430, 50981, 53780, 50914, 52338, 50981, 52665, 50981, 52196, 51253, 62113, 53829, 51549, 59964, 54069, 51067, 55341, 51137, 62202, 51194, 51086, 51124, 50899, 51363, 50871, 51221, 51026, 50943, 53817, 51097, 56117, 51003, 52665, 51097, 52541, 50807, 51996, 64989, 52374, 56710, 51549, 54729, 50843, 54487, 50798, 53569, 51067, 50893, 51338, 73090, 51400, 50900, 51377, 50956, 51162, 50861, 51025, 51085, 50943, 55793, 50981, 52338, 50995, 51946, 50915, 54277, 51097, 52695, 61011, 50930, 52093, 50441, 51032, 50893, 54032, 53083, 63139, 51132, 72893, 51043, 50956, 51110, 50861, 51043, 50900, 51363, 51050, 50943, 54720, 50995, 54277, 50995, 52338, 51097, 52695, 50943, 51946, 72260, 50962, 52093, 50456, 51032, 53072, 56419, 67003, 50799, 51064, 51274, 51727, 51307, 51234, 51452, 50997, 51662, 50900, 51422, 50899, 51677, 50871, 51538, 58366, 53588, 53181, 51313, 54277, 52140, 52665, 51592, 51996, 51662, 52338, 51939, 51728, 52526, 53087, 50856, 59476, 50906, 57748, 74790, 50951, 53263, 67243, 51114, 77439, 59826, 50965, 53177, 50316, 71064, 79089, 53533, 51234, 50854, 51234, 51508, 56883, 51324, 50833, 52093, 50456, 51246, 52530, 50292, 52227, 56046, 51120, 50812, 54293, 51469, 50906, 51203, 51001, 51116, 50951 ]

[ 0, 250, 15352, 30054, 8, 2635, 5175, 15855, 2125, 4246, 10, 3741, 27374, 594, 6, 278, 11, 5, 762, 9, 163, 3694, 19, 10, 204, 73, 398, 86, 6543, 4, 20, 15229, 1171, 10, 881, 21263, 9, 5, 33215, 16739, 163, 119, 6, 163, 35470, 757, 6, 163, 119, 6, 83, 6, 8, 272, 401, 6, 2351, 10, 2933, 8, 5679, 26709, 5466, 624, 42, 765, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 50417, 54981, 50824, 52760, 51059, 50423, 53074, 51973, 54832, 53300, 53385, 54241, 76281, 52779, 50802, 54981, 57699, 52345, 50802, 52360, 63058, 53469, 50802, 53489, 57325, 76281, 52880, 70216, 52760, 50802, 72458, 52177, 53469, 50802, 52345, 64381, 53252, 50802, 54832, 58542, 52760, 50802, 52118, 60739, 52724, 50802, 53385, 57699, 55424, 55373, 53854, 50802, 53276, 55680, 54832, 50817, 53874, 60646, 53385, 52193, 54832, 56995, 53385, 53736, 54832, 50817, 56165, 62167, 53385, 50817, 50799, 53276, 63603, 53385, 55265, 54832, 50802, 67406, 51059, 55424, 51059, 50423, 53276, 51973, 54267, 53300, 52880, 60739, 56165, 50802, 52760, 50802, 53074, 57699, 56024, 50802, 53854, 50802, 52360, 63058, 55227, 50802, 52508, 50802, 54832, 57325, 60565, 50802, 53874, 50802, 52880, 70216, 55532, 50802, 52724, 50802, 53385, 50824, 52177, 50658, 50286, 50802, 60229, 50802, 52345, 64381, 67406, 50802, 55424, 50802, 53276, 50802, 53489, 58542, 56165, 50802, 52880, 50824, 53385, 51407, 50435, 53874, 50802, 53074, 56119, 53854, 50802, 54832, 55373, 53074, 74218, 52175, 53489, 53532, 53074, 50802, 55424, 51072, 50459, 53276, 50802, 54832, 50802, 52177, 52779, 50802, 56165, 50824, 55183, 50824, 52760, 51029, 50423, 52880, 55396, 53489, 50802, 53854, 50824, 52360, 51029, 50435, 52345, 50802, 53385, 56119, 55227, 50824, 54832, 50824, 52508, 51029, 50447, 52345, 55680, 53074, 50802, 53874, 50824, 52880, 70216, 52779, 50802, 71902, 52177, 54267, 50802, 53854, 64381, 52760, 50802, 53385, 55396, 53469, 50802, 52779, 51009, 50435, 52508, 50802, 54832, 56119, 76281, 53385, 55373, 54832, 50803, 52880, 52175, 53074, 53532, 52345, 50802, 52779, 50802, 54832, 54934, 76281, 54267, 50802, 53385, 50802, 52177, 53469, 50802, 52779, 54433, 52508, 50802, 54832, 55396, 52760, 50802, 53074, 51009, 50435, 55424, 50802, 54981, 56119, 52724, 50802, 53489, 55373, 54981, 50803, 52760, 52175, 54122, 53532, 52508, 50802, 53074, 50802, 54981, 54934, 52724, 50802, 54832, 50802, 53489, 50802, 52177, 53074, 50802, 55424, 64381, 52779, 50802, 71902, 55358, 58542, 77707, 53385, 60739, 62133, 50802, 52360, 57699, 54832, 50802, 52508, 51009, 50447, 53489, 50817, 52880, 64070, 53074, 52568, 54832, 62353, 53074, 54085, 52345, 50802, 53489, 54934, 76281, 54981, 50802, 52177, 67965, 50802, 53489, 54433, 54267, 51973, 52779, 53300, 52880, 52119, 52360, 52674, 52345, 52057, 52880, 53609, 62133, 74218, 52313, 54122, 61443, 52880, 52116, 52360, 53532, 52345, 52163, 52880, 52937, 52118, 50803, 50799, 52345, 54024, 55358, 50803, 55424, 52410, 54981, 62643, 52345, 51973, 52880, 53300, 52118, 52119, 52345, 52674, 53469, 52057, 52118, 53609, 54122, 50803, 53854, 52313, 53489, 61443, 52118, 52116, 52345, 53532, 53469, 52163, 52118, 52937, 52760, 50803, 50799, 53469, 54024, 54981, 50803, 53874, 58823, 55358, 52801, 54832, 51973, 53489, 53300, 53074, 52119, 54981, 52674, 52779, 50803, 55424, 52125, 54832, 53609, 53385, 74218, 53681, 54122, 52911, 54981, 50803, 55532, 52175, 53489, 53532, 53074, 50803, 52508, 61828, 53489, 52937, 52779, 50803, 55227, 50802, 50799, 54832, 54024, 53074, 50802, 60565, 51059, 50423, 54981, 51973, 54122, 53300, 53489, 52119, 54981, 52674, 52880, 50803, 53074, 52057, 52345, 50803, 53489, 53609, 54981, 50803, 60565, 63189, 52779, 52911, 54981, 52116, 54122, 53532, 53489, 52163, 54981, 52937, 52880, 50803, 53074, 50803, 50799, 52345, 50803, 53489, 54024, 54981, 50803, 60565, 64146, 52779, 52801, 54981, 50803, 55358, 51973, 54122, 50803, 62133, 53300, 53489, 50803, 54122, 52119, 54981, 50803, 55358, 52674, 52880, 50803, 53074, 50803, 54981, 52057, 52345, 50803, 53489, 50803, 54122, 53609, 54981, 50803, 55358, 50803, 53874, 52313, 53489, 50803, 54122, 52911, 53074, 50803, 54981, 74218, 52175, 53489, 50803, 54122, 53532, 53074, 50802, 54981, 50802, 52508, 72430, 53074, 50817, 54981, 50817, 55227, 62167, 54832, 50817, 53489, 50817, 50799, 53074, 50817, 54981, 63603, 54832, 50817, 53489, 55265, 53074, 50802, 60565, 51059, 50423, 54981, 51973, 54122, 53300, 53489, 52119, 54981, 52674, 52880, 50803, 53074, 52057, 52345, 50803, 53489, 53609, 54981, 50803, 60565, 63189, 52779, 52911, 54981, 52116, 54122, 53532, 53489, 52163, 54981, 52937, 52880, 50803, 53074, 50803, 50799, 52345, 50803, 53489, 54024, 54981, 50803, 60565, 64146, 52779, 52801, 54981, 50803, 55358, 51973, 54122, 50803, 62133, 53300, 53489, 50803, 54122, 52119, 54981, 50803, 55358, 52674, 52880, 50803, 53074, 50803, 54981, 52057, 52345, 50803, 53489, 50803, 54122, 53609, 54981, 50803, 55358, 50803, 53874, 52313, 53489, 50803, 54122, 52911, 53074, 50803, 54981, 74218, 52175, 53489, 50803, 54122, 53532, 53074, 50802, 54981, 50802, 52508, 72430, 53074, 50817, 54981, 50817, 55227, 62167, 54832, 50817, 53489, 50817, 50799, 53074, 50817, 54981, 63603, 54832, 50817, 53489, 55265, 53074, 50803, 60565, 50802, 53874, 52410, 53074, 52801, 53074, 50803, 55424, 52038, 53074, 53300, 53074, 74218, 53566, 53074, 52674, 53074, 50803, 52345, 53663, 53074, 53609, 53074, 50803, 52508, 53681, 53074, 52911, 53074, 50803, 52880, 54145, 53074, 53532, 53074, 50803, 52760, 54098, 53074, 52937, 53074, 50803, 72228, 50799, 53074, 54024, 53074, 50803, 53469, 54226, 53489, 52801, 53489, 50803, 52779, 54107, 53489, 53300, 53489, 50803, 52118, 53566, 54981, 52674, 54981, 50803, 52779, 52125, 54981, 53609, 54981, 74218, 53681, 53489, 52911, 54981, 50803, 55532, 52175, 54122, 53532, 54981, 50803, 52508, 54098, 53074, 52937, 53489, 50803, 55227, 50802, 50799, 54832, 54024, 53074, 50860, 53874, 52410, 64974, 62643, 53074, 50860, 55424, 52038, 64974, 60280, 53074, 50860, 52724, 53566, 64974, 59618, 53074, 50860, 52345, 53663, 64974, 61870, 53074, 50860, 52508, 53681, 64974, 61443, 53074, 50860, 52880, 54145, 64974, 62183, 53074, 50860, 52760, 54098, 64974, 60271, 53074, 50860, 72228, 50799, 64974, 68745, 53074, 50860, 53469, 54226, 50658, 50337, 62643, 53489, 50860, 52779, 54107, 50658, 50337, 60280, 53489, 50860, 52118, 53566, 50658, 50339, 59618, 54981, 50860, 52779, 52125, 50658, 50339, 61870, 54981, 50860, 52724, 53681, 50658, 50339, 61443, 54122, 50860, 55532, 52175, 50658, 50340, 62183, 54981, 50860, 52508, 54098, 50658, 50339, 60271, 53489, 50860, 55227, 50802, 50799, 50658, 50337, 68745, 64974, 50803, 53874, 52410, 50658, 50334, 52801, 62133, 50803, 55424, 52038, 55358, 53300, 54122, 74218, 53566, 54981, 52674, 53489, 50803, 55532, 50802, 62133, 52125, 53074, 53609, 55358, 50803, 52508, 52313, 54122, 52911, 54981, 74218, 52175, 53489, 53532, 54981, 50803, 52508, 54098, 53074, 52937, 53489, 50803, 55227, 50802, 50799, 54832, 54024, 53074, 50803, 53874, 52410, 54832, 52801, 53385, 50803, 55424, 52038, 52779, 53300, 52360, 74218, 53566, 52880, 52674, 52345, 50803, 55532, 50802, 53385, 52125, 52118, 53609, 52779, 50803, 52508, 52313, 52360, 52911, 52880, 74218, 52175, 52345, 53532, 52880, 50803, 52508, 61828, 52118, 52937, 52345, 50803, 55227, 50802, 50799, 53469, 54024, 53469, 50824, 60565, 74666, 52118, 75421, 53874, 50802, 52779, 51009, 53074, 51009, 54981, 51009, 50447, 53469, 52116, 52118, 53532, 52760, 52163, 53469, 52937, 52508, 50803, 50799, 52760, 54024, 60229, 50802, 52779, 51009, 54832, 51009, 53489, 51009, 50423, 52760, 51973, 53469, 53300 ]

[ 0, 250, 20902, 3495, 2214, 4246, 10, 32076, 11739, 9, 13305, 6, 6755, 12547, 6, 21072, 6, 1515, 21305, 6, 8, 18558, 6, 2351, 41, 17627, 17274, 8, 33558, 5466, 4, 590, 10, 1769, 20889, 9, 8325, 163, 5683, 11, 204, 73, 306, 86, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 211, 538, 8, 24536, 10, 33215, 16739, 9, 211, 406, 6, 272, 6, 272, 119, 6, 211, 6, 8, 272, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 55159, 71731, 52906, 52710, 57986, 51594, 50812, 51532, 54150, 72978, 51658, 55701, 51572, 54478, 50852, 52848, 57986, 51594, 50812, 51647, 54622, 72978, 51755, 55701, 71731, 52906, 52710, 57986, 51594, 50812, 51532, 54150, 72978, 51658, 55701, 51572, 54478, 50852, 52848, 57986, 51594, 50812, 51647, 54622, 72978, 62640, 51173, 51926, 54036, 51049, 61531, 56025, 51182, 50904, 78594, 56287, 50841, 51182, 50886, 51926, 55476, 54080, 56287, 53935, 51995, 51158, 57986, 51594, 50812, 51532, 69227, 51384, 52739, 56287, 50839, 51107, 56669, 54125, 56287, 63123, 51182, 50867, 51926, 53891, 51995, 51175, 55159, 51572, 76065, 51182, 50886, 51926, 54465, 56287, 55033, 54672, 56287, 54086, 51995, 51167, 57986, 51594, 50812, 51647, 75635, 51107, 50904, 51384, 54622, 56287, 54726, 54421, 56287, 58660, 51182, 50886, 51926, 50836, 62640, 51175, 55159, 71731, 50419, 51182, 50886, 51926, 54402, 56287, 54539, 54080, 56287, 52762, 51995, 51175, 57986, 51594, 50812, 51532, 69227, 51107, 55286, 56287, 50829, 51384, 58453, 54125, 56287, 57405, 51182, 54077, 51995, 51175, 51926, 53309, 55701, 51572, 76065, 51182, 50867, 51926, 54465, 56287, 55033, 54672, 56287, 57723, 51284, 52985, 51995, 51173, 52487, 55944, 51907, 51594, 55874, 51394, 51051, 52066, 50454, 53089, 65628, 56287, 50839, 51558, 50827, 54294, 58453, 54421, 56287, 50836, 62640, 51177, 51182, 50886, 51926, 53243, 55701, 78594, 56287, 50841, 51182, 50867, 51926, 55153, 54080, 56287, 53425, 51995, 51242, 57986, 51594, 50812, 51532, 54150, 56287, 50835, 51107, 50904, 51384, 55249, 54125, 56287, 53891, 51995, 51110, 51182, 50867, 51926, 53243, 55701, 51572, 76065, 51182, 54758, 56287, 50820, 51926, 55153, 54672, 56287, 54185, 51995, 51095, 57986, 51594, 50812, 51647, 54622, 56287, 50829, 51107, 50904, 51384, 55249, 54421, 56287, 59700, 51182, 50886, 62640, 50967, 51926, 53243, 55701, 71731, 50419, 51182, 55394, 56287, 50837, 51926, 55153, 52296, 56287, 53803, 52645, 50967, 70864, 62606, 51532, 69227, 51107, 53998, 54813, 50825, 51384, 55249, 52262, 54813, 61360, 51182, 50867, 51926, 53574, 51758, 51095, 55159, 51572, 76065, 51182, 50886, 51926, 54465, 54009, 55476, 52513, 54009, 60062, 52487, 68465, 53311, 51121, 51284, 50978, 57986, 51594, 55874, 53089, 68243, 51394, 50959, 50455, 54294, 54900, 56292, 50813, 51558, 54553, 54984, 52567, 56292, 50829, 62640, 51173, 50899, 51591, 50861, 51591, 50973, 51591, 51926, 50844, 75459, 51449, 51615, 52829, 52187, 52829, 51838, 52204, 52137, 51671, 51976, 61531, 50800, 78594, 56287, 50841, 51926, 54791, 54080, 56287, 53935, 51995, 51158, 57986, 51594, 50812, 51532, 54150, 56287, 50839, 51384, 55249, 54125, 56287, 54728, 51995, 51175, 51926, 50810, 53339, 51177, 51902, 51177, 55159, 51572, 54478, 56287, 50834, 51026, 50978, 51926, 50810, 52601, 50813, 51612, 55476, 54672, 56287, 54086, 51995, 51167, 50899, 59408, 74690, 50893, 52601, 50844, 51612, 53877, 51907, 51594, 50812, 51647, 54622, 56287, 50841, 51384, 50827, 53339, 50854, 51902, 57396, 54421, 56287, 58660, 50699, 50346, 51243, 62640, 51167, 50989, 51591, 50877, 51591, 50973, 51591, 50902, 51591, 52405, 50810, 53129, 51313, 52601, 51159, 51612, 51159, 55159, 78594, 56287, 50829, 52405, 54791, 54080, 56287, 52992, 51995, 51160, 53339, 51157, 51902, 51157, 57986, 51594, 50812, 51532, 54150, 56287, 50835, 51384, 63713, 54125, 56287, 59693, 52196, 51162, 51584, 69205, 51995, 50980, 52405, 53095, 55701, 51572, 54478, 56287, 50837, 51026, 50978, 52405, 55475, 54672, 56287, 61230, 51946, 51803, 51555, 51803, 50450, 51995, 51235, 50989, 65481, 74690, 68550, 56702, 51907, 51594, 50812, 51647, 54622, 56287, 50829, 51384, 56254, 54421, 56287, 56603, 61437, 52204, 62640, 51173, 67137, 65218, 50973, 51047, 74655, 51690, 50844, 52036, 51717, 55159, 50417, 51838, 50360, 50412, 52066, 50420, 56287, 50841, 51690, 56558, 54080, 56287, 53935, 51995, 51158, 57986, 51594, 50812, 51532, 54150, 56287, 50839, 51384, 50907, 53339, 51003, 51902, 75342, 54125, 56287, 54728, 51995, 51175, 51690, 53877, 55701, 51572, 54478, 56287, 60953, 50833, 58893, 68530, 64062, 51690, 50844, 52601, 50813, 51612, 55476, 54672, 56287, 54086, 51995, 51167, 52601, 50810, 51612, 53095, 51907, 51594, 55874, 62676, 61084, 79948, 71702, 52066, 50455, 53339, 50942, 51902, 58774, 56287, 50841, 51384, 55249, 54421, 56287, 58660, 54012, 51159, 52075, 51159, 62640, 51167, 50871, 51413, 50877, 51413, 50973, 51413, 50902, 51413, 51690, 53877, 55701, 78594, 56287, 50829, 51690, 55475, 54080, 56287, 60341, 52601, 50915, 51612, 55382, 51995, 51160, 57986, 51594, 50812, 51532, 54150, 56287, 50835, 51384, 55249, 54125, 56287, 53574, 51995, 50980, 50973, 51413, 51690, 50844, 51836, 51013, 51567, 51013, 55159, 51572, 54478, 56287, 74943, 51351, 51690, 53095, 55603, 54672, 56287, 61230, 52601, 50845, 51612, 53562, 51995, 51235, 57986, 51594, 50812, 51647, 54622, 56287, 50829, 51384, 50851, 53339, 51003, 51902, 75342, 54421, 56287, 56603, 60336, 52204, 70963, 51235, 50916, 51307, 50861, 51307, 50973, 51307, 50902, 51307, 51733, 50822, 51615, 52204, 51711, 52121, 52225, 52121, 55159, 78594, 58625, 50841, 51733, 50827, 51946, 50915, 51555, 59098, 54080, 58625, 53901, 52713, 51235, 57986, 51594, 50812, 51532, 54150, 58625, 50820, 51304, 55249, 54125, 58625, 59921, 53064, 50892, 52041, 53913, 52713, 50991, 51733, 53877, 55701, 51572, 76065, 51946, 50836, 51555, 54465, 58625, 50846, 51733, 58453, 54672, 58625, 56918, 51946, 50878, 51555, 56060, 52713, 51235, 57986, 51594, 50812, 51647, 75635, 53064, 50978, 52041, 63044, 58625, 50841, 51304, 55249, 54421, 58625, 50841, 70963, 51173, 50916, 51518, 50861, 51518, 50973, 51518, 50902, 51518, 51733, 50822, 52601, 51159, 51612, 51159, 55159, 78594, 58625, 50841, 51733, 55475, 54080, 58625, 64783, 51836, 51100, 51567, 64131, 52713, 51158, 57986, 51594, 50812, 51532, 54150, 58625, 50839, 51304, 50874, 53339, 51003, 51902, 75342, 54125, 58625, 54728, 52713, 51175, 51733, 53877, 55701, 51572, 54478, 58625, 50834, 51733, 50844, 52196, 51422, 51584, 51422, 50852, 54672, 58625, 54086, 52713, 51167, 51086, 51101, 57986, 51594, 55874, 50916, 50977, 52066, 50456, 58625, 50841, 61084, 51304, 56254, 54421, 58625, 70248, 59700, 59269, 52829, 70963, 51173, 50956, 51591, 50861, 51591, 50877, 51591, 50876, 51591, 51811, 50822, 51615, 51801, 51711, 52096, 52340, 52121, 55159, 78594, 58625, 50841, 51811, 56558, 54080, 58625, 53935, 52713, 51158, 57986, 51594, 50812, 51532, 54150, 58625, 50839, 51304, 50851, 52695, 50915, 52623, 59098, 54125, 58625, 54728, 52713, 51175, 51811, 53877, 55701, 51572, 54478, 58625, 50834, 51085, 50978, 51811, 50844, 51946, 50822, 51555, 56558, 54672, 58625, 60062, 51946, 50897, 51555, 55620, 52713, 51167, 50956, 59408, 65481, 63837, 56702, 51907, 51594, 50812, 51647, 75635, 52695, 50810, 52623, 52863, 58625, 50841, 51304, 56254, 54421, 58625, 50841, 70963, 51173, 50956, 51307, 50861, 51307, 50906, 51307, 50902, 51307, 51811, 50844, 52601, 51109, 51612, 51109, 55159, 78594, 58625, 50841, 51811, 56558, 54080, 58625, 53935, 52713, 51158, 51836, 51159, 51567, 51159, 57986, 51594, 50812, 51532, 54150, 58625, 50839, 51304, 56254, 54125, 58625, 63123, 51946, 51109, 51555, 61148, 52713, 51175, 51811, 53877, 55701, 51572 ]

[ 0, 250, 765, 5175, 25771, 2214, 11, 211, 3694, 6, 19, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 4, 85, 7630, 6568, 10, 19448, 8, 3722, 5466, 6, 10686, 13, 822, 2369, 36546, 4, 20, 33215, 16739, 1575, 211, 119, 8, 163, 428, 73, 495, 6, 8216, 7, 5, 2214, 18, 2933, 8, 15352, 30054, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51214, 51189, 51234, 51189, 50861, 51307, 50906, 51307, 50902, 51307, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 51189, 50871, 51307, 50877, 51307, 50876, 51307, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 51189, 50956, 51307, 50861, 51307, 50906, 51307, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 51189, 50871, 51307, 50877, 51307, 50876, 51307, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 73439, 50951, 58801, 64424, 56217, 50951, 51519, 50287, 55965, 50951, 58801, 64424, 56157, 51214, 51519, 50290, 63191, 53794, 51026, 56934, 50877, 60763, 69517, 50914, 54795, 51189, 51234, 51189, 63766, 53466, 50931, 53308, 50902, 51519, 50287, 55965, 50877, 60763, 65208, 56157, 51214, 51519, 50290, 53794, 50951, 77782, 56934, 50876, 51124, 50956, 63925, 50914, 54795, 51189, 51234, 51189, 50417, 50906, 52871, 50997, 51591, 50956, 51591, 50861, 51591, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 50902, 77782, 56934, 50876, 61581, 53259, 50877, 53259, 54795, 51189, 51234, 51189, 58973, 51894, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 51189, 50423, 50902, 52710, 50906, 60358, 63191, 53308, 50951, 51519, 50287, 55965, 50906, 60358, 63191, 53969, 51214, 51519, 50290, 63191, 53794, 50951, 77782, 56934, 50951, 50849, 54852, 58681, 63191, 51519, 50287, 51189, 51234, 51189, 63766, 51191, 50432, 51214, 50914, 50435, 50902, 52841, 50877, 60763, 65208, 56157, 51214, 51519, 50290, 53794, 50951, 77782, 56934, 50956, 63925, 60763, 50914, 54795, 51189, 51234, 51189, 56363, 51591, 50956, 51591, 50861, 51591, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 50902, 77782, 56934, 50876, 61581, 53259, 50877, 53259, 54795, 51189, 51234, 51189, 58973, 51894, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 51189, 60564, 60358, 63191, 53308, 50951, 51519, 50287, 55965, 50906, 60358, 63191, 53969, 51214, 51519, 50290, 63191, 53794, 51026, 56934, 50877, 60763, 69517, 50914, 54795, 51189, 51234, 51189, 63766, 53466, 50931, 53308, 50902, 51519, 50287, 55965, 50877, 60763, 65208, 56157, 51214, 51519, 50290, 53794, 50951, 77782, 56934, 50876, 51124, 50956, 63925, 50914, 54795, 51189, 51234, 51189, 50417, 50906, 52871, 50997, 51591, 50956, 51591, 50861, 51591, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 50902, 77782, 56934, 50876, 61581, 51894, 50877, 51894, 54795, 51189, 51234, 51189, 58973, 51591, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 50902, 77782, 56934, 50876, 51124, 50899, 63925, 50914, 54795, 51189, 51234, 51189, 50417, 50906, 52871, 50997, 52149, 50899, 52149, 50861, 52149, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 73576, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 73576, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 73576, 51214, 56157, 51214, 51519, 50290, 53794, 50902, 77782, 56934, 50931, 50849, 55694, 60358, 63191, 51519, 50287, 51189, 51234, 70506, 50951, 56217, 51214, 60597, 51189, 50902, 51189, 50951, 69279, 51214, 51519, 50290, 53794, 50906, 60358, 63191, 77782, 56934, 50931, 50849, 55694, 60358, 63191, 51519, 50287, 51189, 51234, 51189, 62143, 51486, 50902, 51486, 50951, 51486, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 56934, 50902, 50849, 54206, 57743, 57669, 58681, 51519, 50287, 51189, 51234, 51189, 58060, 56217, 51214, 64815, 61581, 61915, 60763, 56157, 51214, 51519, 50290, 58801, 53794, 51026, 64815, 53259, 50871, 53259, 50877, 53259, 50902, 53259, 54795, 51189, 51234, 73576, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 56934, 50877, 50849, 56178, 58263, 58801, 58681, 51519, 50287, 51189, 51234, 51189, 58060, 56217, 51214, 69796, 51189, 50861, 51189, 50906, 51189, 50876, 69279, 51214, 51519, 50290, 53794, 50906, 77782, 56934, 50956, 63925, 60597, 64424, 50914, 54795, 51189, 51234, 51189, 58060, 53466, 50956, 51189, 50861, 51189, 50906, 51189, 50876, 73576, 51214, 56157, 51214, 51519, 50290, 58801, 53794, 50906, 77782, 56934, 50906, 50849, 54578, 58801, 60358, 51519, 50287, 51189, 51234, 51189, 63766, 53466, 50931, 53308, 51214, 61581, 60597, 64424, 65208, 56157, 51214, 51519, 50290, 62377, 53794, 50931, 77782, 56934, 50871, 51307, 50906, 51307, 50902, 51307, 50931, 51307, 54795, 51189, 51234, 73576, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 56934, 50902, 50849, 55694, 60358, 63191, 51519, 50287, 51189, 51234, 70506, 50951, 56217, 51214, 60597, 64424, 69517, 56157, 51214, 51519, 50290, 63191, 53794, 50931, 77782, 56934, 50906, 64424, 69517, 50914, 54795, 51189, 51234, 51189, 63766, 53466, 50902, 53308, 51214, 60597, 51103, 50902, 51103, 50931, 64486, 51214, 51519, 50290, 53794, 51026, 56934, 50906, 50849, 54206, 57743, 57669, 58681, 51519, 50287, 51189, 51234, 51189, 58973, 53466, 50902, 53308, 50902, 51519, 50287, 50914, 55898, 61581, 61915, 60763, 56157, 51214, 51519, 50290, 53794, 50906, 77782, 56934, 50899, 51486, 50871, 51486, 50877, 51486, 50902, 51486, 54795, 51189, 51234, 73576, 51214, 56157, 51214, 51519, 50290, 57743, 53794, 50861, 77782, 56934, 50906, 50849, 56178, 58263, 58801, 60358, 51519, 50287, 51189, 51234, 51189, 58060, 53466, 50906, 53308, 51214, 69796, 51591, 50861, 51591, 50906, 51591, 50902, 51591, 50444, 51214, 51519, 50290, 53794, 51026, 50914, 50459, 59285, 56178, 58263, 58801, 60358, 51519, 50287, 51189, 51234, 51189, 58060, 53466, 50906, 53308, 50876, 51124, 51214, 69796, 63925, 69153, 50906, 52597, 51214, 51519, 50290, 58263, 70269, 51026, 50914, 50459, 70835, 54578, 58801, 60358, 51519, 50287, 51189, 51234, 51189, 63766, 53466, 50931, 53308, 51214, 61581, 60597, 64424, 65208, 56157, 51214, 51519, 50290, 60358, 53794, 51026, 61581, 53259, 50906, 53259, 50902, 53259, 50951, 53259, 54795, 50812, 51214, 50812, 51214, 51189, 50417, 51214, 51519, 50287, 59573, 51214, 50812, 51214, 52710, 51214, 51519, 50287, 53308, 51214, 50812, 51214, 50812, 51214, 50914, 50435, 51214, 51519, 50287, 61772, 51214, 50812, 51214, 52597, 51214, 51519, 50287, 51519, 50287, 53794, 51214, 51519, 50287, 77782, 56934, 51214, 51519, 50287, 50849, 54795, 51800, 50287, 51189, 51234, 51189, 50423, 50902, 52710, 50906, 60358, 63191, 53308, 50951, 51519, 50287, 55965, 50906, 60358, 63191, 53969, 51214, 51519, 50290, 63191, 53794, 51026, 56934, 50877, 60763, 69517, 50914, 54795, 51189, 51234, 51189, 63766, 53466, 50931, 53308, 50902, 51519, 50287, 55965, 50877, 60763, 65208, 56157, 51214, 51519, 50290, 53794, 50951, 77782, 56934, 50956, 51124, 71356, 50876, 51124, 54795, 51189, 51234, 51189, 50417, 50906, 52871, 50997, 51591, 50956, 51591, 50861, 51591, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 50902, 77782, 56934, 50876, 61581, 53259, 50877, 53259, 54795, 51189, 51234, 51189, 58973, 51894, 50432, 51214, 56157, 51214, 51519, 50290, 53794, 51026, 50914, 54795, 51189, 51234, 51189, 50423, 50902, 52710, 50906, 60358, 63191, 53308, 50951, 51519, 50287, 55965, 50906, 60358, 63191, 53969, 51214, 51519, 50290, 63191, 53794, 50951, 77782, 56934, 50951, 50849, 54852, 58681, 63191 ]

[ 0, 713, 8787, 5175, 15229, 6, 30291, 19, 4785, 9, 3495, 6, 30853, 23, 10, 7212, 20889, 9, 12747, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 24, 1575, 10, 15352, 30054, 3222, 5785, 227, 21979, 8, 3459, 29589, 6, 10, 3152, 6757, 6, 3459, 9590, 6, 8, 21072, 6, 2351, 10, 19448, 8, 1372, 5466, 14, 115, 2773, 15658, 1495, 7, 10, 822, 19834, 4, 20, 2125, 16, 17407, 30, 10, 33215, 16739, 9, 211, 119, 6, 1918, 6, 3676, 6, 8, 381, 6, 1271, 7, 63, 33558, 8, 17627, 17274, 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 ]

[ 56103, 74912, 77844, 51479, 53576, 53583, 50961, 51694, 54094, 52265, 51479, 50961, 69615, 58772, 50791, 63247, 61576, 51068, 50883, 51899, 51239, 50839, 51453, 58660, 50801, 50883, 51528, 61732, 54003, 52432, 51320, 50961, 51694, 51928, 64124, 50961, 53550, 53404, 60376, 52356, 67327, 50801, 50839, 51528, 51239, 77844, 51479, 53576, 53583, 55800, 51068, 54844, 53230, 51479, 50961, 69615, 58772, 52112, 51180, 55254, 51068, 52050, 51044, 50839, 51453, 57335, 50801, 50961, 51528, 51179, 77844, 51479, 53576, 51320, 53087, 51068, 52050, 52209, 51479, 50883, 69615, 73744, 57681, 52060, 61194, 66079, 51180, 50386, 52897, 58017, 52060, 51031, 51899, 51239, 79349, 50817, 51207, 51012, 54432, 52325, 51230, 51985, 51031, 52012, 50942, 51131, 50948, 50461, 50801, 50949, 53285, 51520, 51239, 50385, 55958, 50817, 52012, 50950, 51131, 60442, 51479, 52432, 53583, 80148, 51068, 55800, 51195, 67040, 52209, 51443, 50923, 51223, 54390, 50898, 53294, 51069, 50930, 51185, 50936, 51023, 51138, 51223, 56081, 51139, 58772, 52112, 50444, 51020, 50829, 51223, 53111, 71540, 51185, 57322, 70259, 51023, 51014, 51195, 56675, 52050, 51044, 52579, 51403, 50855, 51762, 50461, 51223, 53735, 50883, 53285, 50821, 51092, 51160, 51020, 51227, 53752, 77844, 51223, 54169, 50898, 52432, 51320, 69356, 51195, 77996, 51973, 51068, 52050, 57286, 51513, 56693, 51443, 50824, 51020, 51055, 51083, 51380, 51479, 73957, 51195, 50827, 70960, 58772, 51023, 51187, 52210, 51069, 50840, 51089, 50818, 51223, 55181, 55254, 50964, 50949, 78233, 51195, 57517, 52050, 51044, 55223, 73500, 54432, 52325, 50964, 79851, 50860, 51762, 50457, 52012, 50940, 51131, 50948, 50461, 51223, 55503, 50961, 53285, 51520, 51044, 56868, 52012, 75317, 51014, 50419, 51223, 54036, 50898, 53576, 51320, 53087, 51195, 53972, 52050, 52927, 51443, 50976, 51479, 73957, 51223, 54123, 66670, 51185, 50911, 51023, 50802, 51897, 58772, 52112, 50444, 51020, 50836, 51355, 50882, 51513, 51156, 71309, 51092, 53938, 50964, 51237, 51185, 50936, 51223, 59172, 52050, 51044, 55223, 51023, 52935, 51403, 50813, 77774, 52105, 50461, 50801, 50949, 53285, 50940, 51020, 51255, 51092, 51427, 51195, 50921, 52358, 77844, 51479, 52432, 51223, 58597, 50898, 55800, 51195, 70547, 56289, 52265, 51443, 52651, 50898, 65109, 51020, 51157, 51083, 53697, 51223, 50908, 70960, 58772, 50791, 52210, 51443, 50936, 51536, 50962, 51250, 51156, 65266, 51089, 66578, 57887, 51069, 51227, 51223, 50368, 51822, 52050, 51239, 50839, 51207, 59712, 54432, 61063, 51223, 50854, 52105, 52012, 50925, 51131, 73056, 50801, 50961, 53285, 53236, 51239, 50961, 52012, 50950, 51131, 66305, 51223, 61732, 51479, 53576, 51250, 50930, 51355, 59932, 58094, 50386, 55958, 60879, 51513, 52968, 51195, 66610, 52927, 51443, 50911, 51223, 56081, 50898, 53294, 51069, 75252, 51012, 51023, 50860, 51897, 58772, 51223, 51559, 53239, 51020, 51559, 71309, 51092, 60145, 51536, 56675, 52568, 50964, 51090, 51185, 50806, 51023, 51012, 51250, 52791, 51239, 57583, 51223, 54038, 51403, 50857, 51762, 50461, 50801, 50961, 53285, 76334, 51483, 51020, 51111, 53752, 77844, 51479, 52432, 51320, 53087, 51195, 51010, 51355, 50880, 51513, 56564, 53412, 52209, 51443, 51016, 51020, 51735, 51195, 55503, 50898, 65109, 51083, 51312, 70960, 78684, 50791, 52210, 51069, 78103, 52465, 65266, 51089, 59869, 53153, 50964, 50846, 50927, 51286, 51536, 50821, 51250, 52409, 51044, 56340, 56721, 73500, 54432, 60345, 70587, 52105, 50457, 51131, 50940, 52012, 74369, 50801, 50961, 53285, 51033, 52358, 50883, 51131, 51014, 50415, 52012, 60442, 51479, 53576, 51223, 56240, 50898, 55800, 51195, 50880, 51513, 77996, 76409, 60903, 52050, 52209, 51443, 51505, 51479, 54968, 51069, 50894, 51185, 51030, 51023, 51138, 51195, 58011, 51130, 58772, 52112, 50444, 64020, 51092, 50857, 51223, 52223, 53711, 50964, 51090, 51185, 51021, 51023, 50925, 51536, 50821, 51250, 52791, 51239, 56396, 52193, 51403, 50867, 52105, 50461, 51829, 51237, 52328, 65221, 50883, 53285, 74368, 51354, 51020, 51111, 52358, 77844, 51479, 52432, 51223, 52923, 50898, 55800, 52333, 51566, 51982, 51054, 51829, 50829, 51195, 68676, 50846, 51355, 54473, 52209, 51443, 50930, 51020, 50889, 51083, 50995, 51513, 50837, 51195, 56081, 50898, 69201, 52060, 57776, 51456, 52676, 50927, 51031, 51105, 50976, 51676, 51286, 51829, 51025, 52333, 50870, 51223, 53672, 51130, 58772, 50791, 52210, 65340, 51023, 50882, 51089, 50880, 51223, 50373, 53823, 50898, 55254, 64504, 51676, 50860, 51914, 50950, 51536, 50821, 51250, 65021, 52050, 51179, 55223, 73500, 54432, 72670, 52356, 55891, 51443, 51505, 51617, 51226, 51953, 50824, 52105, 52012, 51014, 51131, 73056, 50801, 50883, 53285, 53236, 51239, 50883, 51131, 51010, 52012, 58320, 52395, 50817, 54010, 55265, 52652, 51010, 50419, 52395, 54452, 50898, 52432, 51320, 64246, 51676, 50820, 53990, 50817, 55320, 76255, 51829, 54579, 52652, 61083, 52395, 72309, 57463, 54392, 53145, 58096, 52050, 50846, 51207, 51388, 50929, 51379, 50428, 52652, 54056, 52395, 58607, 53990, 50811, 55320, 52726, 51443, 51173, 51479, 72090, 52652, 53660, 52395, 79737, 54010, 50811, 52395, 52676, 51069, 55461, 51041, 58772, 50791, 52210, 51020, 50884, 51092, 51187, 55254, 50964, 51237, 51676, 50993, 51829, 51427, 58413, 56396, 63359, 50820, 51207, 50930, 50929, 65175, 50801, 50961, 53285, 50821, 54010, 50811, 52395, 52220, 51044, 50961, 50416, 52652, 60442, 52395, 53243, 50898, 53576, 53990, 51031, 55320, 65440, 66774, 52652, 51010, 50424, 52395, 54392, 57463, 50930, 53145, 54736, 52050, 70690, 52652, 76526, 52395, 54154, 51443, 50824, 53990, 50811, 55320, 52750, 50898, 72090, 52652, 54496, 52395, 52952, 54010, 51010, 52395, 52750, 51139, 58772, 52112, 50444, 51069, 52675, 55254, 62644, 52328, 51354, 51829, 50975, 51068, 52050, 51179, 50839, 73500, 54432, 79596, 50841, 52012, 50942, 51131, 50936, 50461, 50801, 50883, 53285, 53235, 51239, 50961, 52012, 75317, 58197, 54010, 50811, 52395, 55265, 52652, 50894, 50419, 52395, 53243, 50898, 52432, 53990, 50817, 55320, 65440, 58980, 52652, 67596, 52395, 52329, 57463, 50887, 53145, 54736, 52050, 54013, 52652, 64247, 52395, 50855, 52825, 52925, 51443, 50923, 53990, 50811, 55320, 52750, 50898, 65625, 52652, 66248, 52395, 68231, 54010, 52057, 51069, 50962, 51185, 50948, 51023, 51138, 51897, 62968, 52652, 62505, 52395, 59586, 53990, 50811, 55320, 51156, 53239, 51020, 51539, 63281, 52652, 57782, 52395, 63154, 51185, 50936, 57463, 50821, 53145, 54736, 52568, 50964, 51237, 51023, 51045, 55901, 60752, 52652, 58629, 52395, 70332, 53990, 50811, 55320, 56354, 51403, 50840, 51762, 50457, 52652, 59022, 52395, 71154, 54010, 50803, 52395, 52750, 50883, 53285, 76334, 51160, 51020, 51345, 53752, 64664, 52652, 61429, 52395, 60400, 53990, 50811, 55320, 52750, 50898, 53576, 51320, 64246, 52652, 53184, 52395, 61057, 57463, 50821, 53145, 54736, 50817, 51694, 57982, 52652, 54935, 52395, 60519, 53990, 50811, 55320, 52726, 51443, 50882, 51020, 51055, 51083, 51253, 51479, 72090, 52652, 54125, 52395, 75719, 52395, 50811, 54010, 52057, 50927, 50883, 51105, 50976, 51897, 58772, 51023, 51406, 53239, 65557, 51089, 51044, 55254, 50964, 51566, 51676, 51653, 51829, 51460, 51068, 52050, 51044, 57143, 51207, 51012, 54432, 52325, 52356, 50898, 57620, 52012, 50921, 51131, 50948 ]

[ 0, 250, 765, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 4246, 10, 385, 922, 438, 15677, 8, 2352, 6757, 4, 590, 10, 1769, 20889, 8, 278, 11, 211, 3694, 6, 24, 7630, 6568, 41, 9066, 8, 28339, 6711, 6, 442, 24, 10686, 13, 814, 5422, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 428, 6, 2344, 757, 6, 83, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 50441, 56475, 50827, 54304, 63107, 57057, 50827, 54391, 66823, 56475, 50851, 54304, 73173, 64822, 50822, 55339, 65732, 56475, 50864, 54304, 64459, 59333, 50886, 55010, 57187, 56475, 50851, 54304, 50851, 50799, 57673, 50886, 54602, 58671, 56475, 50941, 54304, 54819, 60251, 50827, 57719, 53591, 56475, 50851, 54304, 53220, 57673, 50874, 54602, 58519, 56475, 50851, 54304, 54150, 59333, 50822, 55010, 54378, 56475, 50851, 54304, 53269, 64822, 50874, 55339, 58666, 56475, 50912, 54304, 54947, 65097, 50827, 55546, 54043, 56475, 50907, 54304, 54626, 68740, 50874, 57237, 59835, 56475, 50971, 54304, 55835, 60251, 50874, 57719, 64074, 56475, 50912, 54304, 50912, 50799, 57673, 50822, 54602, 58172, 56475, 50851, 54304, 54711, 60251, 50822, 57719, 65532, 56475, 50827, 54304, 63074, 57673, 50955, 54602, 50955, 50428, 56475, 50904, 54304, 66059, 59333, 50864, 55010, 59816, 56475, 50912, 54304, 66186, 64822, 50827, 55339, 80031, 57033, 51008, 55849, 51008, 50443, 58273, 50822, 56665, 50912, 56146, 50822, 57255, 51079, 50446, 57033, 50959, 55849, 50959, 50449, 63826, 50959, 56967, 58248, 57057, 50907, 54391, 51376, 50452, 57033, 50822, 55849, 66968, 62760, 51022, 56475, 50844, 55128, 51387, 54304, 63316, 57033, 50822, 55849, 61982, 57057, 50955, 72282, 51142, 54391, 50955, 56445, 51079, 51809, 57033, 50874, 55849, 76687, 56665, 50878, 65097, 50851, 57255, 50878, 55546, 51174, 50422, 57033, 51008, 55849, 51008, 50425, 72282, 50851, 57057, 50959, 56445, 50972, 54391, 50959, 50428, 57033, 50827, 55849, 67825, 62760, 50907, 56475, 50874, 55128, 51074, 54304, 68163, 57033, 50851, 55849, 64704, 63826, 51051, 57673, 50984, 56967, 51051, 54602, 50984, 50440, 57033, 50874, 55849, 79174, 57673, 50822, 50666, 50303, 50907, 54602, 50822, 66205, 51376, 50446, 57033, 50959, 55849, 50959, 50449, 67374, 50907, 59333, 50878, 54977, 51074, 55010, 50878, 50452, 57033, 50955, 55849, 74799, 56665, 50854, 65097, 50827, 57255, 50854, 55546, 51277, 50458, 57033, 50959, 55849, 79076, 57057, 50978, 72282, 51051, 54391, 50978, 56445, 50972, 51809, 57033, 50933, 55849, 50933, 50419, 65097, 50827, 56665, 50959, 55546, 50838, 57255, 65023, 57033, 51051, 55849, 51051, 50425, 57057, 51051, 72282, 51022, 54391, 51051, 56445, 52192, 50428, 57033, 50874, 55849, 72479, 56475, 50827, 50666, 50303, 51123, 54304, 50827, 66205, 51123, 50434, 57033, 51058, 55849, 60465, 67374, 50984, 63826, 51008, 54977, 50984, 56967, 51008, 50441, 57057, 51000, 54391, 57522, 57033, 50827, 67374, 51051, 55849, 50827, 54977, 77302, 57057, 50941, 54391, 69698, 63826, 50867, 57673, 50851, 56967, 50867, 54602, 50851, 50452, 57057, 50851, 54391, 75635, 57033, 50810, 57673, 50904, 55849, 50810, 54602, 66460, 57057, 50864, 54391, 58449, 50666, 50324, 50854, 62760, 50912, 62882, 50854, 55128, 50912, 51809, 71628, 50827, 56283, 73616, 57057, 50822, 62760, 51123, 54391, 50822, 55128, 51123, 50422, 71628, 51123, 56283, 51123, 50425, 50666, 50324, 50827, 62882, 52580, 62760, 51126, 55128, 51126, 50428, 71628, 51000, 56283, 71371, 62760, 51128, 57057, 50851, 55128, 51128, 54391, 63163, 71628, 50984, 56283, 68863, 62760, 51000, 58273, 50912, 55128, 51000, 56146, 50912, 50440, 64822, 51126, 55339, 51126, 50443, 56475, 50912, 62760, 51000, 54304, 50912, 55128, 75106, 64822, 50984, 55339, 50984, 50448, 58273, 50851, 56146, 70936, 62760, 50912, 55128, 75030, 64822, 50851, 55339, 65126, 56475, 50822, 54304, 66968, 62760, 50971, 55128, 77379, 64822, 50904, 55339, 69309, 57033, 50854, 55849, 64098, 72282, 50971, 56445, 50971, 51809, 57673, 50904, 54602, 68349, 64822, 50810, 72282, 50907, 55339, 50810, 56445, 71871, 57673, 50907, 54602, 76785, 57033, 50827, 72282, 50971, 55849, 50827, 56445, 70898, 57673, 51128, 54602, 69957, 72282, 51126, 64822, 50822, 56445, 51126, 55339, 59909, 57673, 50941, 54602, 65219, 72282, 50971, 63826, 50851, 56445, 50971, 56967, 74787, 59333, 50971, 55010, 56069, 57057, 50827, 72282, 51000, 54391, 50827, 56445, 70003, 59333, 50912, 55010, 54823, 63826, 50851, 72282, 50904, 56967, 50851, 56445, 60554, 59333, 51000, 55010, 51000, 50455, 57057, 50822, 54391, 53820, 72282, 50904, 56445, 66460, 59333, 50904, 55010, 50904, 50799, 65097, 50851, 61051, 50813, 55546, 50851, 58827, 57780, 60251, 50851, 57719, 54711, 59333, 50810, 65097, 50912, 55010, 50810, 55546, 56779, 60251, 50912, 57719, 54325, 61051, 50844, 65097, 50864, 58827, 50844, 55546, 63444, 60251, 50827, 57719, 67825, 65097, 50971, 55546, 55487, 59333, 50827, 55010, 63221, 60251, 50907, 57719, 54584, 73805, 50907, 56475, 50851, 57281, 50907, 54304, 74787, 57673, 51022, 54602, 51022, 50443, 73805, 50907, 57281, 54682, 64822, 50912, 55339, 71095, 57673, 51000, 54602, 69875, 73805, 50907, 57281, 54626, 56475, 50907, 54304, 50907, 50452, 57673, 51269, 54602, 51269, 50455, 73805, 50984, 57281, 56838, 64822, 50907, 55339, 72740, 57673, 50984, 54602, 50984, 50799, 57057, 51365, 77027, 51126, 54391, 51365, 57862, 51126, 50416, 72282, 51269, 56445, 64080, 60251, 50851, 77027, 50984, 57719, 50851, 57862, 57079, 72282, 51126, 56445, 57203, 57057, 50907, 77027, 51000, 54391, 50907, 57862, 63369, 72282, 51128, 56445, 69957, 77027, 51123, 57862, 57959, 60251, 50851, 57719, 63163, 72282, 51126, 56445, 70008, 50666, 50299, 50907, 56487, 54584, 64822, 50912, 55339, 50912, 50440, 65097, 52134, 55546, 52134, 50443, 50666, 50299, 50907, 57673, 50912, 56487, 50907, 54602, 71095, 65097, 50941, 55546, 69698, 50666, 50299, 50971, 64822, 50912, 56487, 50971, 55339, 50912, 50452, 65097, 50827, 55546, 68926, 57673, 50851, 50666, 50299, 51126, 54602, 50851, 56487, 51126, 50458, 65097, 50971, 55546, 65540, 77027, 50941, 59333, 51142, 57862, 50941, 55010, 51142, 51809, 67374, 50971, 54977, 72428, 77027, 50971, 72282, 50851, 57862, 50971, 56445, 65173, 67374, 50984, 54977, 50984, 50425, 77027, 51126, 59333, 50912, 57862, 51126, 55010, 50912, 50428, 67374, 51126, 54977, 51126, 50431, 77027, 50984, 72282, 50874, 57862, 50984, 56445, 68163, 67374, 50984, 54977, 68863, 73805, 50874, 65097, 50874, 57281, 50874, 55546, 50874, 50440, 70032, 50854, 61854, 75636, 77027, 50864, 65097, 50874, 58456, 50854, 57862, 50864, 55546, 50874, 59058, 68785, 70032, 50833, 61854, 62955, 65097, 50874, 73344, 50910, 50666, 50299, 50827, 55546, 50874, 58757, 50910, 56487, 50827, 50452, 70032, 50854, 61854, 68384, 65097, 50941, 55546, 55293, 67374, 50851, 60017, 50854, 54977, 50851, 55585, 63181, 70032, 50925, 61854, 50925, 50799, 65097, 50851, 57033, 50897, 73805, 50822, 55546, 50851, 55849, 50897, 57281, 58172, 70032, 50810, 61854, 53066, 61051, 50854, 77027, 50851, 65097, 50827, 58827, 50854, 57862, 50851, 55546, 53591, 70032, 50810, 61854, 52654, 57033, 50854, 73805, 50844, 65097, 50874, 55849, 50854, 57281, 50844, 55546, 58519, 70032, 50844, 61854, 53513, 50666, 50298, 50912, 60017, 50810, 65097, 50907, 64655, 50912, 55585, 50810, 55546, 76969, 70032, 50854, 61854, 54181, 65097, 50874, 73344, 50833, 50666, 50299, 50874, 55546, 50874, 58757, 50833, 56487, 50874, 50440, 70032, 50810, 61854, 53103, 50666, 50298, 50827, 56475, 50810, 65097, 50827, 64655, 50827, 54304, 50810, 55546, 62182, 70032, 50844, 61854, 64913, 55251, 50878, 56968, 56060, 50666, 50299, 50827, 65097, 50912, 56487, 50827, 55546 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 483, 7513, 30, 10, 6755, 12547, 6, 21072, 6, 8, 31391, 1672, 9590, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 16219, 3618, 13569, 9862, 10686, 13, 2365, 50, 1619, 9629, 4, 20, 33215, 16739, 9, 1918, 6, 83, 406, 6, 211, 119, 6, 1918, 6, 8, 163, 406, 3639, 7, 63, 32076, 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 ]

[ 57211, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 57211, 51181, 51627, 50871, 51645, 51120, 51314, 51251, 51447, 51154, 51447, 51113, 51447, 50850, 55085, 51684, 52081, 50301, 52136, 50850, 54278, 51684, 77798, 51330, 51007, 53961, 51684, 57712, 51867, 50320, 54014, 51181, 51627, 50871, 51645, 51120, 51314, 51154, 51447, 51113, 51447, 51357, 51447, 51107, 51447, 51257, 55040, 51684, 52081, 50301, 52136, 51149, 54356, 51684, 52081, 50303, 51330, 51007, 54752, 51684, 57712, 69216, 50866, 57530, 51181, 51627, 50871, 51645, 51120, 51314, 51154, 51447, 51113, 51447, 51093, 51447, 51107, 51447, 51149, 51025, 50415, 50628, 50417, 50628, 50418, 50627, 50420, 50627, 51684, 52081, 50301, 52136, 50421, 50627, 50422, 50627, 50424, 50627, 50425, 50624, 50426, 50627, 51684, 74623, 51330, 51007, 51115, 50427, 50624, 50428, 50625, 50430, 50625, 50431, 50625, 50432, 51684, 57712, 50972, 50433, 50625, 50434, 50625, 50436, 50625, 50437, 50625, 80212, 51181, 51627, 51120, 51244, 51154, 51447, 51113, 51447, 51357, 51447, 51107, 51447, 50439, 50626, 50440, 50626, 50441, 50627, 50442, 50627, 50443, 50627, 50444, 50628, 51684, 52081, 50301, 51965, 50447, 50625, 50448, 50626, 50449, 50626, 50450, 50626, 51684, 52081, 50303, 51333, 50451, 50626, 50452, 50626, 50453, 50626, 50454, 50626, 50455, 50627, 50456, 50627, 51684, 57712, 51079, 50457, 50627, 50458, 50627, 50459, 50627, 50460, 50627, 50461, 50627, 56103, 51181, 51627, 51120, 51243, 51491, 51671, 51113, 51671, 51093, 51671, 51107, 51671, 64803, 50417, 50628, 50420, 51684, 52081, 50301, 51447, 64803, 50421, 50628, 78523, 51466, 50424, 50627, 50426, 51684, 73455, 52916, 67138, 50427, 50627, 50430, 50627, 50432, 51684, 51309, 50877, 51680, 60395, 50433, 50627, 50436, 50627, 59501, 51627, 69776, 50439, 50627, 50442, 50627, 50444, 51684, 74623, 70111, 50866, 50445, 50626, 50448, 50626, 50450, 51684, 52081, 50301, 51108, 67138, 50452, 50626, 50455, 50626, 50456, 51684, 58753, 70111, 69941, 50626, 50461, 50626, 53053, 51627, 50906, 51645, 51026, 51314, 51251, 51447, 51088, 51447, 51165, 51447, 50847, 51452, 50420, 52993, 77798, 52136, 50426, 52993, 64007, 70550, 52993, 57292, 50972, 50433, 50631, 50434, 50631, 50435, 50630, 50436, 50630, 50437, 50629, 50438, 50629, 51137, 51627, 51026, 51244, 51301, 51447, 51088, 51447, 51165, 51447, 51107, 51447, 50439, 50629, 50440, 50628, 50441, 50628, 50442, 50627, 50443, 50627, 50444, 50627, 52993, 77798, 51965, 50446, 50626, 50450, 52993, 52081, 50308, 51333, 51007, 51025, 50451, 50625, 50452, 50625, 50453, 50625, 50454, 50625, 50455, 50624, 50456, 50624, 52993, 57292, 51079, 50457, 50624, 50458, 50624, 50459, 50624, 50460, 50624, 50461, 50625, 57448, 51137, 51627, 51026, 51243, 51251, 51671, 51088, 51671, 51165, 51671, 69776, 50415, 50625, 50416, 50626, 50419, 50626, 50420, 52993, 77798, 51447, 69776, 50421, 50626, 50423, 50626, 50861, 68289, 50626, 52993, 64237, 52916, 77216, 50428, 50627, 50431, 50627, 50432, 52993, 51309, 50902, 51680, 51257, 50866, 50433, 50627, 50435, 50627, 50438, 50627, 51137, 51627, 51439, 50866, 51439, 50866, 50440, 50627, 50443, 50627, 50444, 52993, 64007, 53680, 50321, 50866, 50445, 50628, 50447, 50628, 50450, 50628, 52993, 77798, 51108, 77216, 50452, 50628, 50455, 50628, 50456, 52993, 55332, 53680, 50318, 50866, 50457, 50628, 50458, 50628, 50460, 50628, 56103, 51181, 51627, 51120, 51244, 51154, 51447, 51113, 51447, 51093, 51447, 51107, 51447, 51257, 51025, 50415, 50626, 50416, 50627, 50417, 50628, 50418, 50624, 50420, 51684, 52081, 50301, 51965, 50426, 51684, 74623, 51333, 51007, 51115, 50428, 50624, 50430, 50624, 50432, 50625, 51684, 57712, 51079, 50434, 50625, 50436, 50625, 50438, 50625, 51181, 51627, 51120, 51244, 51154, 51447, 51113, 51447, 51357, 51447, 51107, 51447, 50440, 50625, 50442, 50625, 50443, 50626, 50444, 50626, 51684, 52081, 50301, 51965, 50445, 50626, 50446, 50627, 50447, 50627, 50448, 50627, 50449, 50627, 50450, 50628, 51684, 52081, 50303, 51333, 51007, 51025, 50451, 50628, 50452, 50628, 50453, 50629, 50454, 50629, 50456, 51684, 57712, 51079, 50458, 50627, 50459, 50626, 50460, 50626, 50461, 50625, 57128, 51374, 51627, 51315, 51244, 52065, 51447, 51301, 51447, 51375, 51447, 77216, 50415, 50624, 50416, 50624, 50417, 50624, 50418, 50625, 50419, 50625, 50420, 50626, 52474, 52081, 50303, 51965, 69776, 50421, 50626, 50422, 50627, 50423, 50627, 50424, 50627, 50425, 50627, 50426, 50628, 52474, 52081, 50308, 51333, 51125, 50866, 50428, 50628, 50430, 50628, 50432, 50628, 52474, 59316, 72275, 72300, 50628, 50435, 50628, 50436, 50628, 50437, 50628, 50438, 50627, 51374, 51627, 51315, 51244, 51251, 51447, 51301, 51447, 51375, 51447, 51357, 51447, 77216, 50439, 50627, 50440, 50627, 50441, 50626, 50442, 50626, 50443, 50626, 50444, 50626, 52474, 52081, 50303, 51965, 69776, 50446, 50625, 50447, 50625, 50449, 50625, 50450, 50625, 52474, 77798, 51333, 51125, 50866, 50451, 50625, 50453, 50625, 50454, 50624, 50455, 50624, 50456, 52474, 59316, 72275, 50866, 50457, 50624, 50458, 50624, 50460, 50624, 50461, 50621, 72191, 51349, 51627, 51027, 51243, 51794, 51671, 51301, 51671, 51113, 51671, 51149, 71215, 54144, 52081, 50308, 51447, 50423, 50877, 68289, 50625, 54144, 52081, 50317, 52916, 50432, 54144, 51309, 50968, 51680, 50438, 50628, 51349, 51627, 50444, 54144, 64215, 59914, 54144, 52081, 50308, 51108, 50453, 50625, 50456, 54144, 56943, 51166, 50459, 50626, 50460, 50626, 50461, 50625, 57448, 51349, 51351, 55159, 80237, 79270, 50877, 51423, 51028, 51423, 56911, 51027, 50915, 51768, 55168, 76329, 68622, 71869, 51028, 51101, 51257, 59102, 51349, 53530, 70015, 50625, 51349, 51419, 55159, 50877, 51310, 51028, 51448, 50916, 51448, 50861, 51448, 51257, 51025, 51257, 51025, 50440, 50625, 50442, 50624, 50444, 50624, 51892, 50877, 51542, 50446, 50624, 50448, 50624, 50450, 50624, 50903, 55168, 51028, 51221, 51149, 51025, 50452, 50624, 50454, 50624, 50456, 50623, 51349, 53877, 56619, 50968, 63569, 50623, 50460, 50623, 50461, 50631, 51057, 50632, 51181, 51351, 55159, 50899, 51535, 70837, 75474, 51149, 51025, 50415, 50632, 50416, 50631, 50417, 50630, 56911, 51768, 55168, 51007, 53961, 51181, 53530, 56619, 75552, 51007, 51109, 50435, 62804, 51057, 51181, 51419, 55159, 50899, 51535, 70837, 75474, 56911, 69776, 51768, 55168, 51007, 53961, 51181, 53877, 56619, 75552, 50909, 57815, 62804, 51057, 51137, 51419, 55159, 50861, 51310, 50906, 51448, 50899, 51448, 50909, 51025, 56911, 50861, 51542, 51768, 55168, 50906, 51221, 50939, 53961, 51137, 53877, 56619, 64062, 50939, 51109, 51057, 51137, 51351, 55159, 50861, 51310, 50906, 51448, 50899, 51448, 56911, 50861, 51542, 57420, 51768, 55168, 50906, 51221, 50850, 53961, 51137, 53530, 56619, 64062, 67138, 51057, 51416, 51351, 55159, 50900, 51310, 50916, 51448, 50861, 51448, 50909, 51134, 56911, 50900, 51542, 51768, 55168, 50916, 78265, 51416, 53530, 56619, 58893, 69776, 51057, 51416, 51351, 55159, 50916, 51423, 79270, 50906, 51423, 50876, 51423, 77216, 56911, 51085, 50915, 69776, 51768, 55168, 67032, 68622, 69391, 72917, 50909, 53961, 51416, 53530, 56619, 67138, 51057, 51132, 51419, 55159, 74720, 67137, 67663, 76064, 56911, 76663, 51132, 53877, 56619, 51057, 51132, 51351, 55159, 50900, 51423, 80237 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 13305, 14, 1974, 10, 1769, 12, 20764, 33301, 11, 155, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 42, 765, 2125, 7630, 6568, 10, 1472, 9, 657, 8, 26545, 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, 0, 0, 0, 0, 0, 0 ]

[ 67833, 59419, 61306, 58327, 50981, 71213, 59219, 58327, 51741, 50285, 51490, 51050, 51490, 53523, 58194, 59219, 56692, 51027, 62447, 58194, 50981, 77575, 51517, 50303, 65377, 51741, 50280, 51490, 51085, 51490, 57025, 51283, 50900, 51283, 50871, 51310, 55513, 57712, 56943, 50892, 74968, 51490, 51050, 51490, 50902, 53753, 56207, 62447, 51748, 50438, 52046, 52845, 50295, 71562, 50932, 51034, 51799, 51490, 51120, 51490, 50989, 51080, 50425, 50902, 51419, 50426, 51146, 56656, 51028, 55200, 50902, 50892, 51034, 50951, 69836, 52528, 50871, 52528, 50973, 67778, 50931, 56692, 50902, 50981, 68321, 77418, 62722, 50981, 53337, 77418, 60473, 60700, 56692, 50916, 77418, 58327, 65300, 50981, 71213, 52845, 50313, 58327, 60700, 58326, 50973, 60700, 51517, 50324, 51517, 50330, 56692, 50876, 60700, 70453, 74616, 50981, 51034, 50931, 51145, 50416, 51062, 51145, 50417, 51339, 51448, 50419, 50623, 51814, 51448, 50438, 50637, 51027, 65594, 56943, 55512, 58363, 55103, 51176, 65594, 61418, 58902, 68434, 50905, 51034, 50902, 64924, 51911, 50299, 52431, 50871, 51592, 50906, 51243, 60718, 64924, 56656, 50902, 64924, 50995, 64507, 74471, 60473, 64924, 50995, 53523, 65768, 51283, 50968, 51283, 50951, 51318, 50951, 51318, 50444, 50968, 66386, 50905, 78031, 60250, 51911, 50301, 52431, 50916, 51592, 50861, 51592, 56546, 60250, 56656, 50876, 60250, 50995, 68866, 66719, 59219, 58327, 60250, 50995, 53337, 68295, 51283, 50902, 51283, 50931, 51318, 50931, 51318, 67964, 59023, 50905, 51034, 50906, 63211, 51911, 50299, 52431, 50899, 51592, 50871, 51592, 60564, 63211, 56656, 50906, 63211, 50995, 51034, 50968, 75511, 51911, 50292, 51447, 50916, 75489, 51080, 56546, 60250, 56656, 50997, 74471, 61306, 60473, 64924, 50995, 74968, 51447, 50877, 53487, 50877, 53487, 54439, 54498, 51085, 66719, 50932, 78458, 68589, 51447, 54569, 52688, 50900, 54498, 51176, 66719, 70713, 60473, 64924, 50995, 51034, 50931, 79442, 51911, 50299, 52431, 50871, 51592, 50906, 51592, 60718, 64924, 56656, 50906, 63211, 50995, 51034, 50902, 64924, 60367, 75489, 51080, 51085, 52431, 60564, 63211, 56656, 50997, 62447, 65377, 72272, 50995, 80055, 62447, 51517, 50285, 52431, 50871, 51662, 50871, 51662, 60718, 60700, 70453, 51517, 50330, 54498, 50876, 60700, 70453, 74616, 50932, 64507, 51447, 56248, 61306, 60473, 54498, 50876, 59258, 50915, 71213, 61817, 60250, 59258, 51619, 50297, 51314, 53523, 51318, 50871, 51318, 68485, 50877, 64632, 51027, 61875, 60236, 59198, 50845, 77575, 51911, 50303, 72272, 60817, 51619, 50292, 51314, 57025, 51318, 50900, 51318, 74228, 50871, 64632, 50877, 57069, 50845, 64688, 52140, 50902, 52919, 50902, 52919, 53645, 59023, 61875, 51314, 59409, 54137, 50871, 59023, 55103, 50876, 50905, 78458, 51148, 50965, 51148, 51085, 52140, 53523, 67608, 50973, 61622, 53999, 50876, 57586, 50845, 51034, 50951, 64951, 73657, 52140, 50876, 51662, 50426, 50931, 67883, 58134, 67608, 50968, 68504, 50915, 51034, 50951, 64951, 51619, 50300, 52140, 50973, 51662, 50426, 50931, 67883, 58134, 51314, 66836, 61739, 50915, 72151, 51449, 50906, 52919, 50906, 52919, 53337, 59783, 50995, 55898, 75286, 50995, 71543, 51662, 50871, 51662, 50426, 51214, 51314, 60496, 57069, 53999, 50876, 57586, 50845, 68321, 72272, 61817, 58421, 51619, 50292, 52140, 53523, 72272, 61817, 58421, 54975, 51086, 71326, 66784, 66751, 50915, 51034, 65218, 65218, 51085, 52140, 56759, 51148, 50916, 65680, 50968, 61527, 53999, 50951, 61352, 50845, 51034, 50968, 68504, 51619, 50285, 51314, 50871, 51662, 50877, 51662, 50876, 51662, 50426, 50968, 68504, 54975, 51085, 75939, 69928, 50915, 80055, 51314, 74655, 74655, 53645, 61817, 56656, 50902, 59374, 51455, 50300, 64636, 60250, 59791, 50968, 61527, 50845, 51034, 50931, 67883, 51619, 50299, 51662, 50861, 51662, 50973, 51662, 50426, 50968, 68504, 54975, 50931, 67883, 50915, 51034, 51214, 51314, 50968, 51047, 50968, 51047, 53645, 59783, 67888, 56656, 51028, 69791, 53999, 50902, 59374, 50845, 51034, 50634, 50906, 64924, 79442, 67883, 51619, 50292, 51662, 53645, 63211, 64924, 61739, 54975, 50899, 60367, 63211, 60006, 50915, 71543, 60367, 51911, 50292, 51314, 50997, 51314, 65218, 65218, 53523, 72272, 56656, 50637, 50876, 59258, 50915, 71213, 61817, 60250, 59258, 51619, 50297, 51314, 53523, 51318, 50871, 51318, 68485, 50877, 64632, 51027, 61875, 60236, 59198, 50845, 77575, 51911, 50303, 72272, 60817, 51619, 50292, 51314, 57025, 51318, 50900, 51318, 74228, 50871, 64632, 50877, 57069, 50845, 64688, 51662, 50902, 52919, 50902, 52919, 53645, 59023, 61875, 51314, 59409, 54137, 50871, 59023, 55103, 50876, 50905, 64507, 51662, 50916, 51662, 50965, 51662, 53523, 67608, 50973, 61622, 53999, 50876, 57586, 50845, 51034, 50951, 64951, 73657, 51662, 50877, 51662, 50876, 51662, 50426, 50931, 67883, 54975, 50968, 68504, 50915, 51034, 50951, 64951, 60045, 51314, 78872, 51001, 68537, 50931, 51115, 50931, 51115, 63451, 63236, 51040, 60236, 59023, 57069, 50845, 75424, 51313, 50899, 51313, 50861, 52919, 50861, 52919, 51234, 53413, 50426, 51120, 61417, 51027, 51108, 72151, 51314, 56759, 67119, 56656, 50906, 61026, 51455, 50298, 52026, 50304, 71326, 59791, 50877, 57069, 50845, 75424, 67119, 59783, 58339, 51619, 50299, 51662, 53337, 59783, 63211, 60006, 54975, 50861, 63211, 64924, 61739, 50915, 51034, 50931, 51047, 50931, 51047, 51176, 51662, 53645, 51148, 50973, 65680, 50968, 61527, 53999, 50931, 62244, 50845, 51034, 50951, 64951, 73657, 51314, 78872, 50876, 68537, 50931, 67883, 54975, 51197, 63821, 61817, 60250, 59258, 50915, 71543, 51911, 50294, 51662, 50989, 51662, 50877, 51422, 50877, 51422, 61104, 50995, 55203, 50995, 72151, 52026, 50302, 67119, 63211, 60006, 55382, 51027, 52026, 50304, 75286, 60250, 59258, 54975, 50997, 73790, 59783, 64924, 61739, 50915, 51034, 50634, 50900, 68186, 59783, 75511, 68504, 50915, 53337, 51637, 50871, 51318, 50906, 51318, 50931, 51115, 50931, 64632, 50916, 62543, 64290, 65909, 61352, 50845, 51034, 50956, 51662, 50999, 52919, 50999, 52919, 56207, 79441, 78819, 56656, 50877, 79441, 78819, 50995, 71543, 51148, 78872, 50876, 51148, 51114, 51148, 50425, 51146, 51419, 77718, 52912, 56656, 50637, 51028, 69791, 53999, 50902, 59374, 50845, 51034, 50951, 64951, 67430, 51148, 51026, 51662, 50871, 51662, 50426, 50931, 67883, 54975, 50902, 61739, 50915, 68321, 64897, 75511, 68504, 50915, 53337, 64897, 64924, 79442, 67883, 54975, 50916, 64897, 60250, 78819, 64951, 50915, 71213, 65186, 60250, 79442, 51151, 50931, 51151, 53523, 60367, 61817, 56656, 51176, 64636, 59783, 67888, 75511, 50995, 72151, 64636, 51148, 80242, 50902, 68537, 51214, 61417, 51085, 68186, 66784, 60250, 59258, 50915, 67833, 50871, 61817, 60250, 59258, 51619, 50297, 51314, 53523, 51318, 50871, 51318, 68485, 50877, 64632, 51027, 61875, 60236, 59198, 50845, 77575, 51911, 50303, 72272, 60817, 51619, 50292, 51314, 57025, 51318, 50900, 51318, 74228, 50871, 64632, 50877, 57069, 50845, 64688, 52140, 50902, 52919, 50902, 52919, 53645, 59023, 61875, 51314, 59409, 54137, 50871, 59023, 55103, 50876, 50905, 78458, 51148, 50965, 51148, 51085, 52140, 53523, 67608, 50973, 61622, 53999, 50876, 57586, 50845, 51034, 50951, 64951, 73657, 52140, 50876, 51662, 50426, 50931, 67883, 58134, 67608, 50968, 68504, 50915, 51034, 50951, 64951, 51619, 50300, 52140, 50973 ]

[ 0, 713, 20425, 8, 15352, 30054, 5175, 1349, 11, 83, 3694, 3136, 23, 41, 12447, 1001, 20889, 6, 4246, 10, 33215, 16739, 9, 230, 119, 1176, 406, 6, 211, 406, 6, 3676, 406, 6, 83, 73, 717, 6, 8, 381, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 765, 53, 20902, 2125, 14, 7630, 6568, 10, 3344, 9, 11098, 8, 15073, 6, 442, 24, 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 ]

[ 58402, 51279, 66843, 51620, 51279, 71244, 52262, 51279, 71244, 51724, 51279, 68339, 51757, 51279, 75008, 52567, 51279, 75008, 50800, 55547, 58035, 51620, 51279, 60692, 52262, 51279, 60692, 51724, 51279, 77036, 60459, 51279, 52513, 51279, 51757, 51279, 50800, 51315, 58740, 51279, 52567, 51279, 50800, 55547, 68339, 51620, 51279, 75008, 52262, 51279, 75008, 51724, 51279, 58035, 51757, 51279, 60692, 52567, 51279, 60692, 50800, 55547, 56931, 51620, 51279, 61441, 52262, 51279, 61441, 51724, 51279, 77036, 60459, 51279, 52513, 51279, 51757, 51279, 50800, 51315, 58740, 51279, 52567, 51279, 50800, 55547, 58035, 51620, 51279, 60692, 52262, 51279, 60692, 51724, 51279, 56931, 51757, 51279, 61441, 52567, 51279, 61441, 50800, 55547, 57341, 51620, 51279, 59065, 52262, 51279, 59065, 51724, 51279, 77036, 60459, 51279, 52513, 51279, 51757, 51279, 50800, 51315, 58740, 51279, 52567, 51279, 50800, 55547, 56931, 51620, 51279, 61441, 52262, 51279, 61441, 51724, 51279, 57341, 51757, 51279, 59065, 52567, 51279, 59065, 50800, 55547, 59006, 51620, 51279, 57722, 52262, 51279, 57722, 51724, 51279, 71244, 60459, 51279, 52513, 51279, 51757, 51279, 67027, 58740, 51279, 52567, 51279, 50800, 54734, 66843, 51620, 51247, 71244, 52262, 51247, 71244, 51724, 51247, 68339, 51757, 51247, 75008, 52567, 51247, 75008, 50800, 54734, 58035, 51620, 51247, 60692, 52262, 51247, 60692, 51724, 51247, 77036, 60459, 51247, 52513, 51247, 51757, 51247, 50800, 51315, 58740, 51247, 52567, 51247, 50800, 54795, 68339, 51620, 51214, 75008, 52262, 51214, 75008, 51724, 51214, 58035, 51757, 51214, 60692, 52567, 51214, 60692, 50800, 54795, 56931, 51620, 51214, 61441, 52262, 51214, 61441, 51724, 51214, 77036, 60459, 51214, 52513, 51214, 51757, 51214, 50800, 51315, 58740, 51214, 52567, 51214, 50800, 55547, 58035, 51620, 51279, 60692, 52262, 51279, 60692, 51724, 51279, 56931, 51757, 51279, 61441, 52567, 51279, 61441, 50800, 55547, 57341, 51620, 51279, 59065, 52262, 51279, 59065, 51724, 51279, 77036, 60459, 51279, 52513, 51279, 51757, 51279, 50800, 51315, 58740, 51279, 52567, 51279, 50800, 55547, 56931, 51620, 51279, 61441, 52262, 51279, 61441, 51724, 51279, 57341, 51757, 51279, 59065, 52567, 51279, 59065, 50800, 55547, 59006, 51620, 51279, 57722, 52262, 51279, 57722, 51724, 51279, 71244, 60459, 51279, 52513, 51279, 51757, 51279, 67027, 58740, 51279, 52567, 51279, 50800, 54734, 66843, 51620, 51247, 71244, 52262, 51247, 71244, 51724, 51247, 68339, 51757, 51247, 75008, 52567, 51247, 75008, 50800, 54734, 58035, 51620, 51247, 60692, 52262, 51247, 60692, 51724, 51247, 77036, 60459, 51247, 52513, 51247, 51757, 51247, 50800, 51315, 58740, 51247, 52567, 51247, 50800, 54795, 68339, 51620, 51214, 75008, 52262, 51214, 75008, 51724, 51214, 58035, 51757, 51214, 60692, 52567, 51214, 60692, 50800, 54795, 56931, 51620, 51214, 61441, 52262, 51214, 61441, 51724, 51214, 77036, 60459, 51214, 52513, 51214, 51757, 51214, 50800, 51315, 58740, 51214, 52567, 51214, 50800, 55547, 58035, 51620, 51279, 60692, 52262, 51279, 60692, 51724, 51279, 56931, 51757, 51279, 61441, 52567, 51279, 61441, 50800, 55547, 57341, 51620, 51279, 59065, 52262, 51279, 59065, 51724, 51279, 77036, 60459, 51279, 52513, 51279, 51757, 51279, 50800, 51315, 58740, 51279, 52567, 51279, 50800, 55547, 56931, 51620, 51279, 61441, 52262, 51279, 61441, 51724, 51279, 57341, 51757, 51279, 59065, 52567, 51279, 59065, 50800, 55547, 59006, 51620, 51279, 57722, 52262, 51279, 57722, 51724, 51279, 71244, 60459, 51279, 52513, 51279, 51757, 51279, 67027, 58740, 51279, 52567, 51279, 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, 250, 15352, 30054, 8, 19448, 3495, 1011, 625, 6, 278, 11, 10, 2635, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 6755, 12547, 8, 21979, 8669, 185, 5, 483, 6, 7513, 30, 228, 438, 4781, 2088, 6757, 6, 21979, 9590, 6, 8, 21072, 4, 23973, 11, 5, 762, 9, 230, 538, 6, 5, 2214, 1575, 10, 33215, 16739, 9, 12608, 6, 272, 73, 495, 6, 8, 230, 4, 20, 3722, 15229, 7630, 6568, 10, 1472, 9, 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 ]

[ 57528, 50450, 51553, 64563, 51224, 51126, 50454, 51224, 53556, 51553, 61010, 51289, 74509, 51289, 50971, 59670, 78047, 56897, 54964, 51067, 52921, 51438, 67526, 53513, 51067, 53306, 50438, 51522, 52025, 51549, 51108, 50801, 56897, 54626, 51098, 50915, 51292, 57130, 56897, 50907, 50799, 51893, 50974, 51140, 51134, 51438, 51330, 61978, 55275, 58634, 59519, 58826, 53678, 52234, 52054, 54964, 51893, 56174, 51893, 50974, 51302, 55658, 51893, 50874, 51793, 60346, 51893, 51477, 51793, 69470, 51793, 59580, 51793, 58435, 53140, 51893, 50974, 51216, 56993, 54622, 51924, 52168, 51261, 50905, 53788, 51965, 61978, 58306, 58447, 51671, 58826, 58306, 50801, 50874, 51302, 53627, 51150, 56857, 51389, 54584, 51150, 59165, 50822, 53012, 50912, 54141, 50907, 52612, 54385, 51216, 50943, 50947, 52011, 51032, 52397, 51292, 57941, 51553, 55097, 51553, 53007, 51553, 55397, 51553, 50829, 53202, 50892, 50970, 51447, 50947, 51447, 51549, 63510, 61978, 55275, 66370, 59519, 58826, 55275, 50801, 50376, 52054, 54964, 52031, 50851, 51793, 63285, 52031, 51534, 51793, 58782, 51793, 63906, 53847, 51793, 60346, 52031, 50874, 51793, 69470, 52031, 51534, 51793, 59580, 51793, 58679, 53743, 51893, 50974, 51140, 52596, 52004, 50874, 51098, 53946, 59835, 51893, 56711, 51216, 54093, 51893, 50974, 54204, 51189, 61166, 51748, 58634, 51445, 60151, 59519, 50801, 56624, 51390, 51627, 51302, 52749, 51261, 54125, 51150, 54123, 51261, 50995, 51246, 53313, 50801, 53743, 51064, 58068, 50970, 59038, 51216, 50981, 51131, 53024, 50804, 53820, 51064, 52101, 50459, 50970, 51123, 50799, 52004, 50838, 51098, 51737, 50960, 51333, 50970, 51330, 51076, 51333, 61166, 51748, 58634, 51922, 60875, 68334, 50801, 53932, 52004, 50827, 52078, 63285, 52004, 50838, 52078, 58782, 52078, 63906, 55658, 52004, 50851, 52078, 60346, 51893, 51108, 52078, 69470, 52078, 59580, 52078, 55937, 53103, 52004, 51108, 51098, 54230, 51668, 53888, 54900, 51924, 50827, 51389, 54093, 51390, 50827, 50799, 51924, 50827, 51150, 50854, 50986, 52462, 58447, 53678, 59796, 51922, 58425, 55275, 50801, 56624, 51390, 50827, 51150, 50827, 50998, 53024, 50420, 51334, 51477, 51150, 69596, 50986, 77962, 51389, 50833, 50960, 62265, 55658, 51389, 50854, 51032, 55238, 51389, 50845, 50970, 60968, 50960, 62913, 51984, 51244, 50998, 51490, 51032, 51490, 50801, 50854, 51382, 54529, 51334, 50874, 50799, 51390, 50874, 51389, 51295, 52842, 50984, 52350, 50844, 52789, 58490, 59636, 51893, 54448, 51390, 50874, 52842, 50822, 52350, 50854, 52789, 59171, 56174, 52004, 56307, 52842, 50827, 52350, 50810, 52789, 62265, 55658, 51390, 54221, 51893, 51310, 53240, 55584, 52842, 51269, 52350, 50984, 52789, 51832, 50438, 52842, 50851, 52350, 50851, 55334, 50364, 51015, 56358, 54021, 62095, 53240, 51252, 50929, 51269, 52842, 50984, 52350, 50984, 55334, 50361, 51015, 57904, 52078, 51252, 50929, 68656, 51078, 52445, 50449, 50929, 55038, 51793, 51252, 50947, 51047, 52842, 50907, 52350, 50907, 55334, 50361, 51002, 56936, 51984, 67301, 51389, 50901, 52842, 50912, 52350, 50912, 55334, 52794, 50459, 51390, 50844, 50799, 52700, 50844, 51150, 51419, 52842, 50907, 52350, 50874, 52901, 63907, 57368, 52004, 54351, 51893, 50844, 52842, 51550, 52350, 50912, 52901, 50361, 51015, 55266, 52004, 53770, 52842, 51550, 52350, 51123, 52901, 50359, 51002, 53847, 52700, 50844, 51150, 53911, 51893, 50844, 51389, 50874, 52842, 51550, 52350, 50907, 52901, 52462, 50435, 51390, 51391, 51150, 52729, 51098, 51295, 52842, 50912, 52277, 50912, 52868, 50360, 51015, 52597, 50929, 51432, 52842, 50907, 52277, 51123, 52868, 50359, 51015, 54004, 50947, 51330, 52842, 51123, 52277, 50984, 52868, 50361, 51002, 52863, 51216, 50845, 52842, 51832, 52277, 51832, 52868, 51998, 54204, 58435, 52734, 51067, 50822, 55907, 51166, 55348, 51074, 52364, 51697, 50801, 52921, 51261, 51252, 51438, 51178, 55348, 51387, 52364, 51166, 52842, 53024, 50804, 52765, 51216, 60346, 51098, 51252, 51067, 53306, 55907, 50892, 55348, 50905, 52364, 65867, 51140, 56006, 51522, 51333, 51549, 51108, 58225, 57968, 53165, 57941, 54614, 57941, 63170, 53140, 51098, 50915, 51292, 50889, 54652, 56869, 53165, 56123, 52673, 53838, 50801, 55836, 50822, 50799, 51893, 50892, 51140, 51134, 51438, 51330, 51113, 68334, 51093, 59519, 51201, 58306, 61978, 55275, 58634, 59519, 58826, 53678, 52234, 52054, 54964, 51893, 55266, 51893, 50892, 51302, 55658, 51893, 50844, 51793, 60346, 51893, 51310, 51793, 69470, 51793, 59580, 51793, 58435, 53140, 51893, 50892, 51216, 56993, 54622, 51924, 51680, 51261, 50905, 53788, 51965, 61978, 58306, 58447, 51671, 58826, 58306, 50801, 53881, 51299, 60237, 51301, 76492, 51093, 55086, 50804, 53627, 51150, 56857, 51389, 54584, 51150, 59165, 50822, 53012, 50912, 54141, 50907, 52612, 54385, 51216, 50943, 50947, 52011, 51032, 52397, 51292, 57941, 51553, 55097, 51553, 53007, 51553, 55397, 51553, 50829, 53202, 50892, 50970, 51447, 50947, 51447, 51549, 63510, 51299, 58306, 51426, 68334, 51093, 53678, 61978, 55275, 66370, 59519, 58826, 55275, 50801, 50376, 52054, 54964, 52031, 50874, 51793, 63285, 52031, 51534, 51793, 58782, 51793, 63906, 53847, 51793, 60346, 52031, 50822, 51793, 69470, 52031, 51412, 51793, 59580, 51793, 58679, 53743, 51893, 50892, 51140, 52596, 52004, 50844, 51098, 53946, 59835, 51893, 54771, 51216, 54093, 51893, 50892, 54204, 51189, 51251, 53801, 51107, 52212, 61166, 51748, 58634, 51445, 60151, 59519, 50801, 56624, 51390, 51448, 51302, 52749, 51261, 54125, 51150, 54123, 51261, 50995, 51246, 53313, 51251, 53838, 51107, 52025, 50801, 53743, 51064, 58068, 50970, 59038, 51216, 50981, 51131, 53024, 51299, 53838, 51093, 56869, 50804, 53820, 51064, 52101, 50459, 50970, 51123, 50799, 52004, 50974, 51098, 51737, 50960, 51333, 50970, 51330, 51076, 51333, 52065, 58306, 51357, 52727, 61166, 51748, 58634, 51922, 60875, 68334, 50801, 53932, 52004, 50874, 52078, 63285, 52004, 50905, 52078, 58782, 52078, 63906, 55658, 52004, 50822, 52078, 60346, 51893, 50995, 52078, 69470, 52078, 59580, 52078, 55937, 53103, 52004, 51097, 51098, 54230, 51668, 53888, 54900, 51924, 50874, 51389, 54093, 51390, 50874, 50799, 51924, 50822, 51150, 50854, 50986, 52462, 52143, 52618, 51299, 52618, 51301, 52397, 51093, 52618, 51266, 51466, 58447, 53678, 59796, 51922, 58425, 55275, 50801, 56624, 51390, 50874, 51150, 50827, 50998, 53024, 50420, 51334, 51637, 51150, 69596, 50986, 77962, 51389, 50833, 66003, 51251, 56123, 51154, 56869, 51113, 52025, 51107, 56123, 51201, 52397, 50804, 55658, 51389, 50854, 51032, 55238, 51389, 50845, 50970, 60968, 50960, 62913, 51984, 51244, 50998, 51490, 51032, 51490, 52830, 52397, 51301, 52397, 51093, 52011, 51266, 51333, 51182, 52011, 50801, 54276, 51266, 52618, 51182, 52011, 51304, 53838, 50804, 54529, 51334, 50874, 50799, 51390, 50874, 51389, 51295, 51251, 52440, 51113, 53801, 51107, 52440, 52842, 50984, 52350, 50844, 52789, 58490, 59636, 51893, 54448, 51390, 50874, 52842, 50822, 52350, 50854, 52789, 59171, 56174, 52004, 56307, 52842, 50827, 52350, 50810, 52789, 62265, 55658, 51390, 52739, 51893, 51115, 53240, 55584, 52842, 51269, 52350, 50984, 52789, 51832, 50438, 51488, 63510, 51201, 61307, 51284, 63510, 51384, 56308, 52842, 50851, 52350, 50851, 55334, 50364, 51015, 56358, 54021, 62095, 53240, 51252, 50929, 51269, 52842 ]

[ 0, 250, 21844, 3495, 1011, 625, 14, 17384, 5, 12049, 9, 657, 8, 11098, 6, 42, 765, 2214, 16, 278, 11, 5, 762, 9, 211, 3694, 8, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 10, 2635, 1614, 1073, 1020, 20889, 9, 5138, 13410, 228, 2289, 6, 4246, 10, 13305, 14, 5723, 5, 33301, 8, 20299, 6, 24826, 198, 5, 33215, 16739, 9, 3676, 406, 6, 274, 119, 1176, 406, 6, 3676, 406, 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 ]

[ 57528, 50997, 52519, 50902, 50995, 54569, 54335, 50877, 74992, 51097, 58296, 54938, 50997, 52136, 50902, 50932, 55989, 54323, 50877, 74992, 56109, 50899, 51074, 56310, 53280, 50876, 50995, 53502, 54335, 50861, 57945, 55665, 50900, 54938, 51027, 53577, 50876, 51330, 55513, 51079, 56222, 68636, 69173, 50900, 51074, 55435, 51637, 50902, 50995, 54569, 54335, 50877, 74992, 55665, 50899, 54938, 50997, 51477, 50902, 51108, 55989, 54323, 50877, 74992, 62214, 50899, 51074, 56310, 51637, 50876, 50995, 53502, 54335, 50861, 57945, 55665, 50900, 54938, 51027, 52519, 50876, 51108, 55513, 55437, 50861, 66257, 56711, 50900, 74337, 50974, 55435, 51637, 50902, 51911, 50337, 51359, 54569, 54335, 50877, 74992, 51097, 58296, 54938, 50997, 51477, 50902, 50932, 55989, 54323, 50877, 74992, 56109, 50899, 51074, 56310, 51637, 50876, 51911, 50335, 51692, 53502, 54335, 50861, 57945, 55665, 50900, 54938, 51027, 51283, 50876, 51330, 55513, 54323, 50861, 68545, 52026, 50333, 53586, 50900, 52216, 50335, 50901, 55435, 51637, 50902, 51911, 50330, 51692, 54569, 54335, 50877, 74992, 55665, 50899, 54938, 50997, 51477, 50902, 51108, 55989, 54323, 50877, 74992, 52019, 50328, 53586, 50899, 52216, 50330, 50901, 56310, 51637, 50876, 51911, 50325, 52071, 53502, 54335, 50861, 57945, 55665, 50900, 54938, 51027, 51283, 50876, 51108, 55513, 54323, 50861, 64369, 56711, 50900, 74337, 50974, 55435, 51637, 50902, 67889, 51911, 50337, 51359, 54569, 54335, 50877, 58722, 52845, 50325, 51097, 58296, 54938, 50997, 51477, 50877, 53164, 50318, 50932, 55989, 54323, 50877, 63785, 52104, 50325, 56109, 50899, 64900, 51330, 56310, 51637, 50876, 51911, 50335, 51692, 53502, 59023, 51333, 54439, 57945, 55665, 50900, 66918, 61417, 51027, 51283, 50876, 51330, 55513, 58363, 51074, 56415, 67707, 68545, 52026, 50333, 53586, 50900, 65721, 52104, 50335, 50901, 55435, 51637, 50902, 67889, 51911, 50330, 51692, 54569, 54335, 50877, 58722, 52845, 50325, 55665, 50899, 54938, 50997, 51477, 50877, 53126, 50318, 51108, 55989, 54323, 50877, 63785, 52104, 50325, 52019, 50328, 53586, 50899, 64900, 51965, 51146, 50901, 56310, 51637, 50876, 51662, 50999, 52071, 53502, 54335, 50861, 57945, 55665, 50900, 54938, 51027, 51283, 50876, 51878, 55513, 54323, 50861, 64369, 56711, 50900, 74337, 50974, 55435, 51637, 50902, 67889, 51911, 50337, 51359, 52912, 51079, 54569, 51644, 50342, 52688, 50877, 58722, 52845, 50325, 52019, 50349, 54100, 50899, 51853, 50342, 54498, 50997, 51477, 50877, 53164, 50318, 50932, 55989, 51644, 50354, 54058, 50877, 63785, 52104, 50325, 51517, 50342, 59111, 50899, 64900, 52454, 50349, 50905, 56310, 51637, 50876, 51911, 50335, 51692, 52357, 51737, 53502, 59023, 52845, 50340, 52688, 50861, 57945, 51517, 50347, 54100, 50900, 66918, 52026, 50340, 54498, 51027, 51283, 50876, 51330, 55513, 58363, 52216, 50352, 54323, 50871, 67707, 68545, 52026, 50333, 51455, 50340, 56711, 50900, 65721, 52104, 50335, 51514, 50347, 50892, 55435, 51637, 50902, 67889, 51911, 50330, 51692, 52912, 51079, 54569, 51644, 50342, 52688, 50877, 58722, 52845, 50325, 51517, 50349, 54100, 50899, 51853, 50342, 54498, 50997, 51477, 50877, 53126, 50318, 51108, 55989, 51644, 50354, 54058, 50877, 63785, 52104, 50325, 52019, 50328, 51455, 50342, 59111, 50899, 64900, 51965, 51146, 51514, 50349, 50905, 56310, 51637, 50876, 51662, 50999, 52071, 52357, 51737, 53502, 51644, 50340, 52688, 50861, 57945, 51517, 50347, 54100, 50900, 51853, 50340, 54498, 51027, 51283, 50876, 51878, 55513, 51644, 50352, 54323, 50861, 64369, 51712, 50340, 56711, 50900, 74337, 51712, 50347, 50892, 55435, 51637, 50902, 67889, 51911, 50337, 51359, 52912, 51079, 54569, 51644, 50342, 52688, 50877, 58722, 52845, 50325, 52019, 50349, 54100, 50899, 51853, 50342, 54498, 50997, 51477, 50877, 53164, 50318, 50932, 55989, 51644, 50354, 54058, 50877, 63785, 52104, 50325, 51517, 50342, 59111, 50899, 64900, 52454, 50349, 50905, 56310, 51637, 50876, 51911, 50335, 51692, 52357, 51737, 53502, 59023, 52845, 50340, 52688, 50861, 57945, 51517, 50347, 54100, 50900, 66918, 52026, 50340, 54498, 51027, 51283, 50876, 51330, 55513, 58363, 52216, 50352, 54323, 50871, 67707, 68545, 52026, 50333, 51455, 50340, 56711, 50900, 65721, 52104, 50335, 51514, 50347, 50892, 55435, 51637, 50902, 67889, 51911, 50330, 51692, 52912, 51079, 54569, 51644, 50342, 52688, 50877, 58722, 52845, 50325, 51517, 50349, 54100, 50899, 51853, 50342, 54498, 50997, 51477, 50877, 53126, 50318, 51108, 55989, 51644, 50354, 54058, 50877, 63785, 52104, 50325, 52019, 50328, 51455, 50342, 59111, 50899, 64900, 51965, 51146, 51514, 50349, 50905, 56310, 51637, 50876, 51662, 50999, 52071, 52357, 51737, 53502, 51644, 50340, 52688, 50861, 57945, 51517, 50347, 54100, 50900, 51853, 50340, 54498, 51027, 51283, 50876, 51878, 55513, 51644, 50352, 54323, 50861, 58722, 51517, 50340, 56711, 50900, 52216, 50347, 50892, 58106, 50899, 75657, 75657, 51080, 51146, 51080, 52912, 51080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 13134, 2214, 4246, 21979, 8669, 6, 24896, 6, 2020, 3548, 6, 8, 21979, 9590, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 20889, 16, 10, 20902, 12447, 1001, 6, 8, 5, 1049, 33215, 16739, 25935, 1626, 227, 272, 8, 230, 4, 20, 8859, 7630, 6568, 41, 11653, 8, 5679, 26709, 5466, 6, 1969, 13, 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 ]

[ 58375, 50799, 53122, 50961, 52994, 56075, 52064, 51033, 52130, 61378, 52064, 50812, 52130, 60809, 52130, 50887, 52064, 56667, 52130, 50937, 52064, 56632, 52064, 50844, 52130, 66766, 52130, 50836, 52064, 52676, 52064, 50795, 52130, 50873, 50442, 52344, 51233, 50444, 55338, 50972, 52064, 50808, 52130, 75637, 52064, 50867, 52130, 52555, 53476, 51174, 52130, 78020, 52064, 55273, 52130, 74717, 56102, 50905, 50460, 51967, 50930, 53788, 51204, 52344, 51376, 51574, 51277, 51725, 51056, 52064, 58481, 53122, 64941, 52064, 54718, 52181, 50891, 51707, 50870, 51891, 58178, 77108, 61283, 50846, 52138, 67936, 50943, 51032, 65647, 51967, 62588, 51725, 50915, 52064, 53049, 51098, 51091, 50429, 51207, 50995, 52682, 58812, 51891, 73942, 50925, 55353, 54179, 51707, 50837, 52181, 50928, 50847, 61283, 77108, 50846, 52138, 50863, 50986, 50943, 51032, 64759, 53992, 60958, 51032, 51309, 50929, 51309, 50437, 52682, 55381, 51150, 51159, 51725, 63939, 52521, 58344, 51207, 51627, 50443, 52682, 52711, 51891, 50834, 52181, 50863, 51707, 50908, 50909, 77108, 60753, 50846, 52138, 50863, 50986, 50943, 75645, 51032, 71149, 55353, 71480, 50929, 68324, 51098, 51157, 51574, 51218, 52682, 51388, 50454, 51891, 51221, 51707, 50933, 53167, 51126, 51725, 73575, 53167, 50942, 50909, 77108, 50834, 52138, 51004, 50847, 50846, 71311, 75645, 51032, 50943, 52064, 66330, 52181, 51423, 50929, 51178, 51967, 50862, 55929, 51109, 51725, 51003, 52130, 50825, 52130, 79069, 52344, 51387, 50418, 51967, 55180, 51707, 50835, 51891, 58178, 61283, 77108, 50846, 52138, 50834, 51574, 50845, 51207, 50943, 50986, 51417, 75645, 67671, 52130, 50897, 50424, 50929, 63750, 52249, 53548, 51493, 50893, 75760, 50427, 52130, 50825, 52130, 65337, 52181, 51365, 51967, 53695, 51140, 50924, 51707, 50904, 51891, 57932, 63722, 50846, 52138, 50837, 51149, 50846, 51504, 50937, 50433, 52064, 62657, 51967, 54431, 51098, 51048, 51207, 51241, 52130, 58159, 52130, 65389, 52344, 51267, 51967, 54305, 55338, 60025, 50840, 51439, 50904, 50935, 65804, 50960, 51056, 62388, 67524, 51967, 66270, 51707, 51709, 51076, 51484, 50929, 51309, 52130, 54755, 51273, 51400, 51967, 58974, 53476, 51470, 53092, 51101, 50453, 50847, 51297, 50454, 51207, 50855, 52249, 75336, 52344, 53007, 56102, 51051, 50847, 67133, 50846, 51439, 50837, 51207, 50925, 64856, 62388, 52130, 63357, 51707, 51079, 50998, 50829, 50986, 51309, 51967, 50862, 53788, 51290, 52344, 50822, 51574, 51309, 51725, 51056, 52064, 59722, 53122, 55777, 51707, 50904, 52181, 50867, 51891, 62048, 61283, 50846, 52138, 78756, 50846, 65868, 50929, 51127, 51032, 50925, 52064, 57625, 51967, 52422, 51098, 51238, 51725, 50915, 52064, 55658, 52682, 59225, 50847, 52134, 51207, 54860, 51707, 50870, 51891, 50820, 52181, 61483, 61283, 77108, 50820, 52138, 51129, 51207, 51221, 50986, 50943, 51032, 50854, 55353, 56966, 53992, 66248, 51032, 51199, 50437, 52682, 54362, 51150, 51048, 51574, 50827, 51725, 51056, 50441, 52521, 66607, 50847, 51126, 51207, 51312, 50443, 52682, 51820, 52181, 50837, 51707, 50870, 51891, 65537, 60753, 50846, 52138, 77108, 50846, 67806, 50986, 51221, 50447, 51032, 50932, 53992, 53886, 51098, 50980, 51725, 51097, 52682, 76335, 50847, 51128, 50986, 51419, 51207, 51381, 50456, 52181, 50825, 51707, 50870, 51891, 59947, 61283, 50846, 52138, 50863, 51149, 50841, 75645, 52064, 63357, 50929, 51255, 51967, 59026, 51032, 51380, 55929, 51400, 52554, 50886, 51725, 50943, 51574, 51381, 52130, 78539, 51891, 60123, 51951, 50911, 50418, 50847, 73094, 51891, 50827, 50909, 77108, 60753, 50846, 52138, 50846, 51207, 51241, 50986, 51221, 50929, 50943, 50423, 52142, 50962, 50424, 51891, 73911, 51493, 50893, 51997, 50874, 51725, 50866, 51951, 53847, 52130, 50849, 50430, 52850, 51254, 50847, 51128, 50986, 79201, 51140, 50936, 52814, 50933, 50847, 61283, 77108, 50828, 51574, 50833, 52064, 61761, 52138, 54002, 52850, 51709, 51967, 58853, 51504, 54431, 69278, 51707, 50932, 51207, 51218, 52130, 71476, 50847, 51319, 52064, 54758, 51891, 52256, 50935, 60753, 50846, 51439, 75966, 50925, 62388, 51076, 50854, 51967, 54672, 53122, 63956, 52850, 51380, 50998, 50825, 50986, 68324, 51461, 51025, 51997, 50827, 50929, 51484, 51725, 50943, 52064, 50921, 50453, 52138, 51832, 51149, 63226, 51707, 50864, 50909, 58917, 52881, 52181, 51058, 71766, 50909, 50846, 52138, 50910, 51149, 50808, 51574, 51006, 51207, 51417, 50986, 51127, 51032, 50833, 52249, 77941, 52130, 77929, 52850, 50837, 52138, 51423, 51149, 51309, 50909, 50863, 50929, 51309, 51967, 50887, 53788, 51112, 52344, 51008, 51725, 51267, 51574, 51277, 52064, 68621, 60179, 51032, 80256, 53122, 64941, 52064, 54718, 51707, 50864, 52181, 50867, 51891, 63725, 50846, 52138, 58719, 77108, 67936, 50943, 51032, 71818, 51967, 62588, 52064, 53049, 51098, 51345, 51725, 51003, 50429, 52682, 59545, 50847, 51319, 72103, 50431, 55353, 54179, 51707, 50891, 52181, 75900, 68341, 77108, 61574, 50846, 52138, 50891, 50986, 51056, 50929, 50943, 51032, 64759, 53992, 62256, 52682, 55381, 51150, 51109, 51725, 50943, 50441, 50847, 51319, 52521, 59586, 51574, 51377, 52682, 52711, 52181, 50835, 51707, 50837, 51891, 59947, 61283, 77108, 50846, 52138, 50828, 51207, 51377, 74237, 50986, 51221, 51032, 51241, 50447, 55353, 54755, 51098, 51227, 51725, 51003, 52682, 51021, 53122, 68343, 52064, 50901, 50454, 51891, 50813, 51707, 62032, 51126, 50986, 54481, 53167, 50925, 50909, 60753, 77108, 50820, 52138, 50828, 51207, 51377, 50986, 77749, 50943, 52064, 66330, 52181, 51328, 51032, 51423, 51967, 50862, 55929, 51267, 51574, 51423, 52130, 50825, 52130, 79069, 52344, 51210, 51725, 50943, 50418, 51207, 50864, 51967, 55180, 51891, 68341, 60753, 77108, 50828, 52138, 50841, 51207, 50943, 50986, 51127, 50929, 51221, 51032, 50833, 52130, 50897, 50425, 52249, 53548, 51493, 50806, 51032, 50933, 51725, 74168, 52130, 50825, 52130, 65337, 50847, 51319, 75645, 51967, 53695, 51140, 50865, 50847, 50840, 52138, 50828, 51149, 64705, 58406, 52181, 50837, 51707, 50837, 51891, 50820, 51574, 50833, 52064, 62657, 51504, 50839, 51967, 54431, 69278, 51207, 51283, 51444, 50943, 52130, 58159, 52130, 65389, 51967, 54305, 50935, 59708, 50840, 51439, 71583, 51707, 50829, 52554, 50928, 52146, 50839, 50960, 51221, 50929, 51056, 51076, 50925, 51967, 66270, 52130, 54755, 51273, 51423, 51967, 58974, 51444, 51377, 50454, 50847, 51297, 69999, 52249, 55577, 51707, 50864, 50847, 68855, 50840, 51439, 50870, 62388, 51207, 51518, 52130, 62516, 52554, 50835, 52146, 50857, 51076, 72070, 50998, 50825, 51967, 59496, 50929, 51277, 53788, 51055, 51574, 51006, 51725, 51056, 52064, 50894, 65751, 51376, 50417, 53122, 55777, 51891, 50829, 51707, 50835, 52181, 50835, 52138, 61937, 77108, 59947, 50846, 50986, 51221, 75645, 51032, 50833, 52064, 57625, 51967, 71299, 50929, 51194, 51032, 68428, 51098, 51500, 51725, 51312, 52064, 55658, 52682, 59225, 50847, 51319, 50986, 52810, 51891, 50834, 51707, 50835, 52181, 64780, 77108, 61937, 50846, 52138, 50982, 50986, 77749, 50943, 55353, 56966, 51032, 51172, 53992, 65452, 52682, 54362, 51150, 51016, 51725, 63939, 50847, 51319, 52521, 66607, 51207, 51109, 50443, 50986, 50943, 65423, 52682, 51820, 51997, 58719, 61283, 50846, 52138, 50863, 51149, 50846, 51032, 50925, 50445, 51891, 54043, 53992, 64072, 50929, 68324 ]

[ 0, 713, 8787, 15855, 15229, 6, 533, 3833, 13, 10, 822, 19834, 6, 16, 10, 5386, 8, 814, 12, 21330, 2125, 4, 590, 10, 20889, 9, 1878, 13410, 228, 2289, 6, 24, 4694, 556, 11, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 41, 9066, 8, 2933, 5466, 4, 20, 9590, 3863, 6, 1515, 21305, 6, 6755, 12547, 6, 17691, 28430, 6, 8, 2342, 4467, 35810, 561, 7, 1045, 10, 4066, 5797, 990, 1506, 9, 2369, 6, 278, 11, 5, 762, 9, 211, 3694, 4, 20, 40286, 83, 8, 211, 119, 146, 12577, 4961, 1328, 42, 25306, 27107, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50796, 50796, 51057, 50624, 52665, 66898, 52196, 66898, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51284, 51129, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51107, 61211, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51107, 51129, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51113, 61211, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 53215, 51004, 51113, 50982, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 55528, 55197, 51251, 56615, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51384, 51129, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51284, 61211, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51284, 51129, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51107, 61211, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 53215, 51004, 51113, 50982, 51057, 52614, 68086, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 55528, 55197, 51251, 56615, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50424, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72769, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50428, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50430, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 72605, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50434, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50436, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 51057, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50416, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50418, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 79786, 52371, 52134, 51883, 52134, 51251, 52134, 51113, 52134, 50422 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 980, 8, 115, 28, 341, 11, 10, 822, 19834, 4, 20, 13305, 8, 38668, 22052, 310, 5, 1049, 33301, 6, 7513, 30, 10, 18558, 6, 6755, 12547, 6, 8, 31391, 1672, 9590, 4, 85, 34, 10, 2635, 1614, 1073, 1020, 20889, 9, 1510, 163, 5683, 6, 10, 204, 73, 306, 86, 6543, 6, 8, 16, 11, 5, 762, 9, 12608, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50458, 51503, 51445, 50459, 51197, 51243, 50461, 50900, 51283, 51176, 53142, 50799, 74636, 52720, 57380, 52720, 52233, 51671, 52606, 51748, 51304, 52980, 50965, 51241, 50956, 51318, 52255, 52011, 50416, 50876, 65183, 51863, 52011, 64574, 50974, 51711, 51466, 50443, 51629, 52518, 50444, 50965, 72360, 52402, 60779, 51394, 77413, 72670, 51304, 51884, 75152, 57498, 52033, 51748, 50799, 53496, 51748, 52091, 51748, 51266, 51703, 51503, 52222, 50415, 51040, 51419, 50916, 51204, 51176, 52222, 50426, 51711, 51466, 50437, 51811, 51466, 52414, 52056, 50438, 51001, 66219, 51863, 52256, 50449, 51905, 67303, 51028, 59426, 51503, 51671, 50460, 50900, 51314, 51197, 53588, 50461, 51304, 54829, 50956, 51148, 51176, 52222, 52255, 51330, 50799, 52233, 52727, 52606, 51748, 50965, 51148, 76301, 51417, 50426, 51863, 51542, 50439, 51711, 51330, 50443, 51395, 52063, 61614, 50978, 50449, 51629, 51884, 50450, 50965, 50865, 52402, 51806, 50455, 51394, 62524, 50906, 56904, 51304, 51166, 52033, 51671, 50799, 53496, 52503, 52091, 51748, 50876, 59487, 51109, 50965, 51267, 51503, 51939, 51176, 51592, 50419, 51905, 51884, 50420, 51028, 50977, 50425, 51394, 52528, 53188, 54211, 62144, 51314, 50906, 51244, 50916, 67608, 52225, 51466, 50449, 52414, 51466, 50459, 52186, 61339, 51283, 50460, 50965, 51381, 51176, 53142, 50461, 51629, 52727, 50956, 51542, 51197, 52528, 52402, 53678, 51711, 52503, 50799, 74636, 51801, 52233, 54373, 52606, 51748, 50900, 51679, 50415, 52186, 50805, 51503, 51939, 50421, 52926, 51097, 56014, 52263, 50437, 50906, 52728, 50876, 50977, 50454, 52278, 62091, 52926, 64098, 52186, 51204, 50799, 52091, 52727, 51503, 52222, 51176, 53588, 50900, 52222, 50916, 51945, 50428, 52926, 53513, 52278, 59890, 52926, 61842, 52186, 50977, 50442, 52926, 71105, 52926, 61242, 52186, 57023, 51503, 52222, 50460, 51784, 51682, 50300, 52151, 50461, 50900, 51328, 50799, 51821, 51922, 50871, 77921, 52186, 51177, 50422, 52926, 51484, 62144, 56305, 50906, 52741, 62926, 50455, 52278, 63569, 52926, 54678, 51197, 52136, 50460, 50997, 51961, 50461, 51040, 51381, 50799, 65489, 52440, 53496, 52212, 52582, 51447, 52186, 51191, 50906, 52434, 50310, 68434, 59492, 50906, 52104, 50310, 51753, 50428, 52926, 54221, 52278, 54112, 52926, 54181, 57380, 52147, 52233, 51703, 52606, 52212, 51503, 73658, 69136, 63348, 51134, 50439, 52186, 50987, 50443, 52926, 71892, 51197, 52011, 50450, 51176, 50974, 50455, 52186, 54424, 50900, 58472, 51784, 64333, 50871, 51592, 50461, 50965, 52015, 51360, 52335, 50799, 67791, 52727, 53496, 52727, 51821, 51671, 51001, 51072, 51176, 51447, 50415, 52173, 51183, 50956, 51423, 61104, 51277, 51028, 51286, 50438, 52549, 51233, 50876, 55125, 50965, 53211, 51784, 54655, 52549, 50862, 50799, 57054, 51748, 54064, 52727, 52091, 51922, 51784, 50942, 51085, 52980, 50997, 51680, 50916, 51742, 50861, 51742, 50420, 51784, 61880, 51784, 50955, 50429, 52549, 60093, 51784, 51312, 50453, 52186, 54194, 52926, 57490, 52278, 50955, 50799, 55825, 51490, 57380, 53678, 52233, 52503, 51821, 53201, 50965, 51484, 50876, 51312, 51050, 51965, 50415, 52926, 51477, 50420, 51147, 50925, 50425, 50871, 58069, 50951, 51628, 50876, 52446, 65489, 51703, 50931, 53275, 50295, 51645, 75795, 62929, 51884, 56415, 52386, 50319, 55764, 52186, 63144, 56860, 51784, 50854, 50799, 61372, 51748, 54064, 55597, 52186, 52434, 50294, 51671, 50997, 51671, 50871, 51151, 50906, 56100, 51784, 55797, 52186, 50987, 50429, 51784, 53193, 52186, 51535, 50453, 52926, 54900, 52278, 62616, 52714, 50833, 50799, 67791, 52147, 52091, 51490, 53909, 51330, 52926, 51047, 51360, 51318, 50997, 51115, 50916, 51310, 50965, 79642, 54229, 76357, 65489, 52440, 52606, 52212, 52278, 52019, 50295, 51314, 50997, 51080, 50956, 67835, 66563, 52471, 51466, 51842, 54710, 51258, 56672, 55397, 52186, 61629, 51503, 52335, 50461, 51197, 50825, 50799, 74636, 54373, 52233, 54373, 52606, 51748, 51716, 52720, 53034, 51748, 52186, 51458, 50300, 55468, 59622, 66583, 50900, 51380, 50956, 51312, 50965, 51267, 50420, 52926, 69790, 51176, 52015, 50843, 53814, 50900, 50943, 51298, 51218, 63808, 66739, 50908, 50939, 70269, 50876, 54357, 50908, 50909, 51047, 50455, 52278, 63181, 52926, 50854, 50799, 52091, 52503, 52295, 51922, 52186, 64291, 51204, 50900, 51351, 51176, 51244, 51503, 51662, 50843, 69910, 51592, 55057, 50908, 50428, 52926, 53513, 52278, 56788, 52926, 53894, 50900, 50982, 50916, 58272, 64481, 52186, 50878, 50443, 52926, 51210, 57702, 67827, 52926, 61242, 52186, 66430, 51784, 50800, 51503, 51592, 50461, 50900, 51194, 50871, 71665, 51194, 51176, 51452, 50799, 51821, 52727, 52547, 51922, 50843, 66583, 52186, 51111, 50422, 52926, 51172, 62144, 53759, 52958, 50906, 54357, 53166, 50876, 53843, 64360, 52278, 62616, 52926, 50855, 50799, 65489, 52440, 53496, 52212, 52582, 52212, 53608, 51314, 52186, 51091, 51040, 66199, 51203, 50906, 51255, 51028, 51235, 51197, 51477, 50843, 53738, 50997, 51097, 56040, 73446, 63778, 57265, 52926, 52810, 52278, 51731, 50305, 69074, 53439, 52926, 52599, 57380, 52147, 52233, 51703, 52606, 52212, 54229, 51490, 52186, 51194, 51503, 78171, 51241, 50965, 51351, 50876, 51091, 51960, 54268, 57536, 51197, 51253, 50852, 53421, 51176, 50805, 51970, 50453, 52926, 52847, 59923, 52186, 72891, 74021, 53270, 56047, 51784, 50890, 50799, 67791, 52727, 53496, 52727, 51821, 51671, 52736, 51748, 52547, 51243, 50956, 70322, 71211, 51351, 50965, 51364, 51360, 51592, 50852, 55942, 50908, 51298, 61839, 52173, 74189, 51028, 62116, 68713, 51125, 50914, 50434, 52549, 51412, 62204, 52141, 64481, 50909, 55247, 50965, 53759, 50891, 50992, 57414, 51784, 57326, 52549, 50887, 50799, 57054, 51748, 54064, 52727, 52091, 51922, 51716, 51748, 52295, 51447, 50997, 51233, 50916, 51194, 50861, 51351, 51085, 51662, 50843, 62032, 51218, 50415, 51784, 61555, 52549, 65599, 51784, 50937, 56759, 51022, 50916, 74554, 60481, 52549, 50942, 50433, 51784, 74048, 53372, 51330, 50843, 50928, 50909, 53259, 50450, 53909, 51330, 50852, 59528, 69594, 50452, 52186, 54424, 52926, 54655, 52278, 50833, 50799, 55825, 51490, 52233, 51748, 51821, 54373, 52547, 51748, 54229, 51922, 52926, 66784, 51484, 50876, 51312, 51050, 51965, 50843, 59622, 64565, 50992, 51692, 50420, 51147, 50925, 50425, 50871, 58069, 50951, 52154, 53962, 50876, 52446, 65489, 52147, 50931, 53275, 50295, 51645, 50843, 54485, 50876, 62929, 51884, 50449, 51784, 55620, 50871, 52386, 50319, 59893, 53553, 52926, 51480, 50931, 56860, 51171, 51671, 50460, 51037, 51449, 50461, 50872, 52071, 50799, 61372, 51748, 54064, 55597, 52072, 51922, 52547, 52727, 53909, 51671, 51120, 51671, 50997, 51671, 50871, 51151, 50906, 51036, 50843, 50928, 50939, 51714, 55057, 54114, 50843, 53430, 51784, 51413, 50843, 53007, 50852, 61824, 52540, 53280, 50461, 51037, 67923, 51423, 50799, 67791, 52147, 52091, 51490, 52295, 51447, 54229, 51490, 51360, 51318, 50997, 51115, 50916, 51310, 50965, 51295, 50992, 51391, 50420, 51037, 51108, 50422, 52186, 51878, 55057, 50928, 51017, 54342, 64786, 50437, 51751, 76357, 65489, 52440, 52606, 52212, 53034, 51703, 52471, 52212, 51197, 51314, 50997, 51080, 50956, 67835, 51103, 50843, 50928, 51037, 51314, 50979, 51080, 50439, 50847, 73006, 50852, 59552, 52624, 50812, 50799, 57380, 51449, 52606, 51313, 52072, 51212 ]

[ 0, 250, 33928, 1619, 3495, 2214, 19, 10, 2842, 9, 11057, 6, 4246, 10, 20902, 20535, 2810, 6, 13305, 6, 8, 31365, 6673, 6909, 4, 20, 21979, 9590, 4719, 5, 12989, 5204, 11, 42, 15352, 30054, 8, 1109, 18948, 8859, 4, 590, 41, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 18, 278, 11, 5, 762, 9, 12608, 538, 6, 21437, 10, 33215, 16739, 9, 12608, 401, 6, 272, 119, 6, 163, 43531, 6, 274, 119, 406, 6, 8, 2060, 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 ]

[ 56236, 50451, 55282, 73170, 51963, 50925, 51776, 50921, 50455, 76407, 52863, 56636, 50924, 52489, 50925, 52747, 51033, 51601, 51892, 50419, 51140, 51291, 52664, 50952, 52970, 61468, 53330, 54611, 51913, 50821, 52002, 50803, 51683, 50821, 52306, 57925, 52770, 51060, 51652, 51158, 51667, 51060, 51643, 58804, 51589, 68099, 52832, 50942, 52770, 50942, 51652, 50959, 51667, 50955, 51892, 50443, 51140, 51291, 52664, 50952, 52103, 61468, 50859, 51892, 50444, 52489, 50821, 52747, 50803, 51683, 50821, 52306, 58403, 51831, 51060, 51652, 51158, 52185, 51060, 51643, 58804, 62445, 51601, 52832, 50942, 51831, 50942, 51652, 50959, 52185, 50955, 51892, 50419, 64112, 51261, 51103, 50431, 50804, 51589, 57577, 51892, 50443, 51560, 51291, 52506, 67230, 50804, 56619, 51601, 51892, 50419, 51140, 51291, 52664, 50952, 52970, 50952, 52506, 54611, 51913, 50821, 51683, 69812, 50804, 51589, 57577, 51892, 50443, 51140, 51413, 52664, 50858, 52103, 50858, 52489, 52218, 51420, 52711, 51683, 58740, 50804, 68594, 51601, 51892, 50419, 51261, 51291, 51721, 51110, 52226, 51215, 51993, 51178, 51643, 60725, 53330, 63024, 51831, 51008, 51721, 50978, 50431, 51643, 50828, 51993, 50795, 52226, 63324, 51589, 57577, 51831, 50952, 51721, 50952, 51643, 50952, 52226, 50952, 51892, 50443, 51560, 51047, 52770, 51110, 51652, 51215, 51721, 51178, 51831, 50991, 52506, 64847, 54641, 51008, 52770, 50978, 50455, 50804, 56619, 51601, 51892, 50419, 51522, 51291, 57147, 50892, 52832, 50892, 52608, 50892, 51978, 50892, 52656, 50873, 51629, 59621, 53330, 66659, 57147, 52071, 52832, 52071, 51978, 51310, 52608, 52071, 52656, 51945, 51629, 52071, 50431, 50804, 51589, 68099, 51892, 50443, 51978, 51145, 52506, 52711, 51522, 51218, 50451, 53919, 79930, 50804, 51589, 53820, 52357, 51142, 50459, 52052, 50833, 51601, 53117, 50921, 51892, 50419, 52357, 51121, 57147, 51233, 54641, 51233, 53580, 51233, 51978, 51233, 52656, 51178, 51629, 50892, 52506, 54611, 51261, 51103, 50425, 51304, 50981, 50427, 52052, 50987, 53250, 51233, 52770, 51233, 51978, 51233, 52656, 51233, 52380, 51178, 50431, 50804, 51589, 52749, 52128, 51111, 50435, 53777, 51233, 51831, 51233, 52656, 51233, 52380, 51233, 53786, 51178, 50437, 51811, 69641, 51339, 51753, 51892, 50443, 51560, 51291, 55062, 51233, 54641, 51233, 53580, 51233, 52608, 51233, 51979, 51178, 51182, 59621, 52189, 63771, 51629, 50981, 50451, 57147, 51233, 54641, 51233, 53580, 51233, 51978, 51233, 52656, 51178, 50455, 50804, 51589, 54846, 54414, 51233, 54103, 51233, 52608, 51233, 51979, 51233, 52436, 51178, 50461, 51394, 50892, 51601, 51892, 50419, 51522, 50918, 57147, 51293, 52832, 51293, 51978, 51145, 52608, 51293, 52656, 51359, 51629, 78901, 52153, 66113, 50804, 51589, 54181, 53919, 50924, 50439, 51892, 50442, 52357, 51753, 50443, 51140, 51413, 51978, 66492, 52189, 64847, 52052, 51051, 50455, 53117, 65220, 56062, 52938, 50833, 50799, 52357, 50912, 50415, 51892, 50419, 52128, 51328, 51261, 51291, 57147, 51233, 54641, 51233, 53580, 51233, 51978, 51233, 52656, 51178, 51629, 59621, 53330, 62046, 51304, 50981, 50427, 53250, 51233, 52770, 51233, 51978, 51233, 52656, 51233, 52380, 51178, 50431, 50804, 51589, 56529, 53777, 51233, 51831, 51233, 52656, 51233, 52380, 51233, 53786, 51178, 50437, 51811, 69641, 51892, 50443, 51560, 51291, 55062, 51310, 54641, 51310, 53580, 51310, 52608, 51310, 51979, 51218, 51182, 51310, 50801, 50859, 51892, 50455, 50804, 61382, 50461, 55062, 50892, 54641, 50892, 53580, 50892, 52608, 50892, 51979, 50873, 51182, 50892, 51601, 51892, 50419, 51140, 51291, 54812, 50892, 52832, 50892, 52608, 50892, 51978, 50892, 52172, 50873, 51284, 59621, 53330, 66659, 54812, 50892, 52832, 50892, 52608, 50892, 51978, 50892, 52172, 50873, 51284, 50892, 50431, 54812, 51677, 52832, 51677, 52608, 51677, 51978, 51677, 52172, 51518, 51284, 51677, 50804, 51589, 68099, 51892, 50443, 51150, 62592, 52189, 67230, 50804, 68594, 51601, 51892, 50419, 54414, 51233, 54103, 51233, 51978, 51233, 52656, 51233, 52436, 51178, 51394, 59621, 53330, 52871, 51261, 51103, 50425, 51304, 50981, 50427, 53250, 51233, 52770, 51233, 51978, 51233, 52656, 51233, 52380, 51178, 50431, 50804, 51589, 54125, 55343, 51233, 51831, 51233, 52656, 51233, 52436, 51233, 53979, 51178, 50437, 51905, 69641, 51892, 50443, 53777, 50981, 51652, 50981, 52436, 50981, 53979, 50981, 53786, 50943, 51811, 50981, 52506, 52711, 51560, 51103, 50455, 54414, 50981, 54103, 50981, 52608, 50981, 51979, 50981, 52436, 50943, 51394, 57604, 56619, 51601, 51892, 50419, 51522, 51291, 53250, 55277, 52770, 55277, 51978, 55277, 52656, 55277, 52380, 55068, 51304, 55277, 52506, 66113, 50804, 51589, 68099, 51892, 50443, 51930, 62592, 52189, 67230, 50804, 68594, 51601, 51892, 50419, 51522, 51291, 52506, 66113, 50804, 51589, 68099, 51892, 50443, 51930, 62592, 50859, 51892, 50455, 50804, 56619, 51601, 51892, 50419, 53250, 50892, 52376, 50892, 51979, 50892, 52172, 50892, 52380, 50873, 51304, 50892, 64112, 51984, 51218, 50425, 53250, 52071, 52376, 52071, 52172, 51310, 51979, 52071, 52380, 51945, 51304, 52071, 50431, 50804, 51589, 68099, 50852, 50912, 50443, 51216, 51291, 52172, 51145, 52506, 67230, 50804, 61382, 51601, 51892, 50419, 53250, 51233, 52457, 51233, 51978, 51233, 52172, 51233, 52380, 51178, 51304, 50892, 52506, 54611, 51273, 51103, 50425, 51733, 50981, 50427, 53771, 51233, 51652, 51233, 52172, 51233, 52380, 51233, 53625, 51178, 50431, 50804, 51589, 56529, 53863, 51233, 51667, 51233, 52380, 51233, 53625, 51233, 53610, 51178, 50437, 51266, 50892, 51926, 69641, 51892, 50443, 51098, 51047, 56213, 51310, 52457, 51310, 51978, 51310, 51979, 51310, 53319, 51218, 51558, 51310, 50801, 52189, 67230, 50804, 61382, 50461, 53250, 50844, 52457, 50844, 51978, 50844, 52172, 50844, 52380, 50833, 51304, 50892, 51601, 51892, 50416, 53077, 50844, 51831, 50844, 51979, 50844, 53319, 50844, 52833, 72141, 53250, 51293, 52376, 51293, 52172, 51145, 51979, 51293, 52380, 51359, 51304, 51293, 51384, 59621, 52153, 54611, 52078, 51417, 50429, 51062, 51100, 50431, 50804, 51589, 54181, 51430, 51235, 50439, 50852, 50912, 50443, 52172, 66492, 52189, 52711, 51984, 51417, 50448, 51487, 51111, 50455, 51430, 73836, 56062, 52938, 50833, 75464, 67381, 51892, 50419, 51273, 51291, 53250, 51233, 52457, 51233, 51978, 51233, 52172, 51233, 52380, 51178, 51304, 59621, 53330, 70038, 51339, 51364, 50425, 51733, 50981, 50427, 53771, 51233, 51652, 51233, 52172, 51233, 52380, 51233, 53625, 51178, 50431, 50804, 51589, 56529, 53863, 51233, 51667, 51233, 52380, 51233, 53625, 51233, 53610, 51178, 50437, 51266, 50892, 51926, 53913, 51814, 51073, 50439, 51892, 50443, 51098, 51291, 56213, 51310, 52457, 51310, 51978, 51310, 51979, 51310, 53319, 51218, 51558, 51310, 52506, 63771, 52357, 51124, 50455, 50804, 61382, 50458, 53117, 51060, 50461, 56213, 50892, 52457, 50892, 51978, 50892, 51979, 50892, 53319, 50873, 51558, 50892, 51601, 51892, 50418, 52357, 51218, 50419, 51150, 51291, 53771, 50892, 51652, 50892, 52436, 50892, 52380, 50892, 53625, 50873, 51733, 50892, 55032, 50425, 53771, 50892, 51652, 50892, 52436, 50892, 52380, 50892, 53625, 50873, 51733, 50892, 50431, 53771, 51145, 51652, 50981, 52436, 51145, 52380, 51145, 53625, 51127, 51733, 51145, 50804, 51589, 68099, 51892, 50443, 51150, 51291, 52522 ]

[ 0, 250, 15352, 30054, 5175, 8, 14123, 3495, 2214, 4246, 23338, 33518, 1264, 6, 13305, 6, 21979, 8669, 6, 31391, 1672, 9590, 6, 8, 6755, 12547, 6, 2351, 10, 19448, 8, 1372, 5466, 10686, 13, 3618, 930, 50, 2365, 9629, 6, 19, 10, 1769, 20889, 9, 10529, 163, 5683, 11, 204, 73, 306, 86, 6543, 6, 278, 11, 5, 762, 9, 272, 3694, 6, 8, 21437, 5, 33215, 16739, 9, 163, 43531, 1176, 406, 6, 1918, 406, 6, 8, 274, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 54920, 52536, 50801, 55023, 51594, 50367, 52054, 59268, 50812, 51465, 51151, 51672, 51353, 51327, 51353, 51981, 79197, 52721, 51353, 51971, 51353, 51992, 53363, 52906, 51620, 60298, 50367, 51861, 52749, 50852, 51724, 60298, 50367, 51861, 52597, 50801, 52227, 51757, 60298, 50367, 51861, 55874, 57986, 55346, 50852, 52567, 52993, 52764, 50810, 54920, 52536, 50801, 55023, 51594, 50367, 51861, 50812, 56139, 51391, 54872, 51318, 51476, 51134, 51231, 51218, 51756, 51177, 52527, 51177, 55207, 79180, 51756, 51124, 52527, 51124, 52943, 51238, 51768, 51594, 50367, 51861, 64123, 53037, 51203, 52527, 51203, 51992, 78265, 50852, 52262, 54872, 52015, 50436, 51231, 51103, 51687, 51183, 51327, 51103, 59015, 51594, 50367, 51861, 75804, 53037, 51172, 51756, 51172, 51850, 51363, 67345, 60283, 50448, 53037, 51221, 51756, 51221, 52527, 51116, 51955, 51594, 50367, 51861, 55874, 50801, 51754, 50804, 56254, 57459, 52861, 51293, 52280, 51293, 51760, 51353, 50459, 51416, 52764, 50907, 54920, 51345, 50801, 55023, 51594, 50367, 51861, 50812, 51303, 51391, 51414, 51318, 51327, 51134, 51825, 51218, 52906, 52296, 52993, 59386, 60160, 50897, 60298, 50367, 51861, 60313, 51416, 52749, 52993, 61484, 52262, 55301, 51591, 51414, 52015, 50436, 51825, 51103, 53171, 51103, 59015, 51594, 50367, 51861, 52597, 50801, 52227, 51757, 50903, 54092, 51420, 50367, 51861, 55874, 50801, 51754, 50852, 57459, 53037, 51445, 55458, 54143, 51756, 52919, 50459, 54524, 54920, 52536, 50801, 55023, 51594, 50367, 51861, 50812, 56139, 51151, 54872, 51353, 51476, 51353, 51303, 51151, 52906, 51620, 60298, 50367, 51861, 52749, 50804, 52691, 60298, 50367, 51861, 52597, 50801, 52227, 51757, 50903, 54092, 51420, 50367, 51861, 55874, 50801, 51754, 50852, 52567, 51416, 52423, 50812, 51094, 50302, 51238, 50801, 55023, 51594, 50367, 51861, 50812, 56139, 51151, 52303, 51353, 52102, 51353, 51719, 51151, 52280, 57030, 52280, 53380, 52840, 53380, 52678, 53363, 52906, 52296, 51526, 50952, 51768, 51594, 50367, 51861, 52749, 51526, 51661, 50852, 51724, 60298, 50367, 51861, 52597, 50801, 52227, 51757, 60298, 50367, 51861, 55874, 50801, 51754, 52458, 54345, 56254, 52567, 52458, 54218, 50907, 59373, 52536, 50801, 55023, 51594, 50367, 51861, 50812, 54872, 51310, 52102, 51295, 51719, 51310, 55207, 79180, 52280, 51534, 52840, 51534, 51850, 51363, 51768, 51594, 50367, 51861, 64123, 54598, 51534, 52280, 51534, 52527, 71895, 59011, 52303, 51790, 51687, 51790, 51651, 51623, 59015, 51594, 50367, 51861, 75804, 55458, 51423, 54598, 51423, 52840, 51233, 67345, 60283, 50448, 55458, 52188, 54598, 52188, 51756, 51775, 51955, 51594, 50367, 51861, 55874, 50801, 51754, 50804, 56254, 59747, 54227, 51293, 53037, 51293, 52721, 51359, 50459, 54423, 52764, 50907, 63065, 70910, 55023, 51594, 50367, 51861, 50812, 51465, 51151, 51672, 51353, 52109, 51353, 53001, 51151, 52906, 51620, 60298, 50367, 51861, 52749, 52458, 51073, 50852, 51724, 60298, 50367, 51861, 52597, 50801, 52227, 52513, 52458, 52800, 55298, 71074, 51594, 50367, 51861, 55874, 52458, 53841, 51754, 54785, 53661, 56254, 57459, 55458, 51449, 52387, 51449, 52280, 51313, 52198, 50907, 55609, 73503, 55023, 51594, 50367, 51861, 50812, 51231, 51151, 51980, 51353, 52932, 51151, 52906, 51620, 60298, 50367, 51861, 52749, 54785, 51661, 50852, 51724, 60298, 50367, 51861, 52597, 50801, 52227, 51757, 60298, 50367, 51861, 55874, 51602, 53243, 51754, 51526, 54345, 56254, 52567, 51526, 52467, 50907, 54920, 70910, 55023, 51594, 50367, 51861, 50812, 51687, 50915, 51231, 50915, 51414, 50915, 51457, 50915, 50415, 52387, 51293, 52280, 51293, 52527, 51359, 52906, 51620, 60298, 50367, 51861, 55658, 51687, 50942, 51231, 50942, 51414, 50942, 51457, 59517, 51416, 51073, 50852, 51724, 60298, 50367, 51861, 50812, 51687, 51047, 51231, 51047, 51414, 51047, 51457, 63897, 50801, 52227, 52513, 51416, 52800, 54144, 71074, 51594, 50367, 51861, 55874, 51416, 53841, 51754, 52993, 55220, 50800, 52894, 73841, 55023, 51594, 50367, 51861, 50812, 51687, 50915, 51303, 50915, 51414, 50915, 55458, 50987, 52906, 57257, 52280, 51797, 51756, 51797, 51850, 51309, 51768, 51594, 50367, 51861, 55658, 51416, 50991, 51687, 50942, 51303, 50942, 51414, 73488, 55458, 52034, 52387, 52034, 51756, 51172, 62382, 50822, 65270, 51073, 60298, 50367, 51861, 50812, 51687, 51047, 51303, 51047, 51414, 51047, 50439, 52387, 51412, 52280, 51412, 52527, 51203, 67345, 52227, 52513, 52280, 51412, 52527, 51412, 51992, 51255, 50450, 51132, 51095, 50903, 54092, 51420, 50367, 51861, 55874, 50801, 58740, 51756, 51242, 52527, 51242, 52235, 51194, 56672, 52567, 54524, 52894, 60314, 55023, 51594, 50367, 51861, 50812, 52690, 51151, 51410, 51353, 51672, 51151, 52721, 50829, 51760, 64301, 51760, 51047, 51992, 51047, 53399, 51103, 55207, 50912, 51768, 51594, 50367, 51861, 52749, 52584, 51896, 50852, 51724, 60298, 50367, 51861, 75804, 52721, 53280, 51760, 53280, 52235, 52136, 67345, 52227, 51757, 60298, 50367, 51861, 55874, 50801, 51754, 50804, 56254, 50800, 52721, 50878, 51760, 50878, 51992, 50925, 52198, 50907, 52894, 52536, 50801, 55023, 51594, 50367, 51861, 50812, 51687, 51391, 51414, 51318, 51457, 51134, 51981, 51218, 50416, 52280, 52335, 52527, 52335, 51992, 52151, 55207, 50912, 51768, 51594, 50367, 51861, 52749, 50852, 52262, 51414, 52015, 50436, 51981, 51103, 51980, 51183, 54310, 51103, 59015, 51594, 50367, 51861, 52597, 50801, 52227, 51757, 60298, 50367, 51861, 55874, 50801, 51754, 50804, 56254, 52567, 52993, 52764, 50907, 52894, 66191, 55023, 51594, 50367, 51861, 50812, 51303, 51056, 52109, 51056, 53001, 51056, 50415, 52840, 51218, 51850, 51218, 52943, 51141, 52906, 52296, 54785, 52921, 60160, 51014, 60298, 50367, 51861, 50812, 52102, 50959, 51303, 50959, 51651, 76978, 54785, 53810, 51132, 52672, 50800, 51303, 50873, 52109, 50873, 53001, 77834, 52280, 51318, 52527, 51318, 51992, 51295, 50435, 52584, 52877, 51132, 50980, 60298, 50367, 51861, 50812, 51687, 51056, 51231, 51056, 51414, 51056, 51980, 51056, 67345, 52227, 52513, 51526, 53140, 52993, 51014, 60298, 50367, 51861, 50812, 51687, 50959, 51231, 50959, 51414, 50959, 52387, 50915, 52280, 50915, 51850, 53380, 50453, 51526, 53345, 51754, 51132, 52672, 50800, 51687, 50873, 51231, 50873, 51414, 50873, 51980, 63007, 52584, 50821, 52894, 60314, 55023, 51594, 50367, 51861, 50812, 51303, 51391, 52109, 51318, 51825, 51134, 53001, 51218, 52861, 51151, 53037, 51151, 52906, 51620, 60298, 50367, 51861, 52749, 52584, 51896, 50852, 52262, 52109, 52015, 50436, 53001, 51103, 51825, 51183, 56074, 51103, 59015, 51594, 50367, 51861, 52597, 50801, 52227, 51757, 50903, 54092, 51420, 50367, 51861, 55874, 50801, 51754, 50852, 52567, 54524, 54920, 51585, 50801, 55023, 51594, 50367, 51861, 59249, 51687, 51255, 51231, 51255, 51327, 51255, 52906, 60809, 51303, 51109, 51249, 51109, 51327, 51109, 51768, 51594, 50367, 51861, 52749, 50852, 51724, 60298, 50367, 51861, 52597, 50801, 52227, 59070, 51687, 51194, 51231, 51194, 51327, 51194, 50447, 52585, 54004, 54144, 50952, 60298, 50367, 51861, 55874, 50801, 50800, 51303, 51043, 51249, 51043, 51327, 51043, 50454, 52585, 52643, 52993, 54416, 56254, 50800, 52198, 50907, 54920, 70910, 55023, 51594, 50367, 51861 ]

[ 0, 713, 765, 5175, 37903, 11, 274, 538, 1575, 10, 38668, 483, 6, 21072, 6, 21979, 9590, 6, 8, 38668, 22052, 4, 590, 10, 20889, 9, 7694, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 15352, 30054, 8, 2829, 2933, 5466, 6, 20455, 9, 10, 569, 177, 19834, 4, 20, 33215, 16739, 1171, 274, 73, 534, 6, 230, 6, 274, 6, 274, 401, 6, 8, 272, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 51150, 51091, 51716, 51922, 55094, 51402, 66421, 50811, 51694, 52702, 52726, 52412, 50901, 51150, 51370, 54496, 50798, 52952, 52412, 53330, 55092, 52408, 53590, 51559, 52940, 52479, 51003, 51150, 55157, 68373, 51899, 79924, 52884, 52117, 51351, 50816, 53903, 53206, 50811, 60200, 51091, 52547, 78497, 52084, 63137, 55804, 50856, 52084, 50811, 53158, 52968, 52117, 55742, 52084, 54935, 52117, 59384, 52726, 51793, 53592, 54496, 50798, 52952, 52696, 51003, 50832, 55092, 50798, 55892, 52084, 52940, 51793, 55157, 54046, 52768, 52117, 57353, 52084, 55552, 50856, 52884, 52452, 69238, 50811, 54204, 51091, 54638, 51748, 50798, 52084, 55804, 50856, 52084, 50811, 53158, 50811, 51694, 52084, 54935, 50856, 52726, 52276, 50854, 51261, 53592, 54496, 52276, 53590, 52952, 52276, 59510, 55092, 50798, 55892, 52084, 52940, 52412, 50901, 51261, 55157, 54046, 52768, 52408, 57353, 52084, 55552, 50856, 52884, 52479, 69238, 50811, 66269, 51091, 52072, 78497, 52084, 55804, 50856, 52084, 50811, 53158, 50811, 51694, 52084, 54935, 50856, 52726, 52479, 50854, 51793, 53592, 54496, 52479, 53590, 52952, 52408, 59510, 55092, 50798, 55892, 52084, 52940, 52412, 50901, 51793, 55157, 54046, 52768, 52276, 57353, 52084, 55552, 50856, 52884, 52412, 69238, 50811, 53788, 51091, 51716, 78497, 52084, 55804, 50856, 52084, 50811, 53158, 50811, 51694, 52084, 54935, 50856, 52726, 52412, 50901, 51150, 52152, 54046, 54496, 50798, 52952, 52412, 54748, 55092, 52408, 53590, 55892, 52084, 52940, 52479, 51003, 51150, 55157, 60901, 51899, 52084, 55552, 50856, 52884, 52117, 69238, 50811, 60200, 51091, 52547, 78497, 52084, 55804, 50856, 52084, 50811, 53158, 52968, 52117, 55742, 52084, 54935, 52117, 59384, 52726, 51793, 53592, 54496, 50798, 52952, 52696, 51003, 50832, 55092, 50798, 55892, 52084, 52940, 51793, 55157, 54046, 52768, 52117, 57353, 52084, 55552, 50856, 52884, 52452, 51351, 75550, 54204, 51091, 54638, 51748, 50798, 52084, 55804, 50856, 52084, 50811, 53158, 50811, 51694, 52084, 54935, 50856, 52726, 52276, 50854, 51261, 53592, 54496, 52276, 53590, 52952, 52276, 59510, 55092, 50798, 55892, 52084, 52940, 52412, 50901, 51261, 55157, 54046, 52768, 52408, 57353, 52084, 55552, 50856, 52884, 52479, 69238, 50811, 66269, 51091, 52072, 78497, 52084, 55804, 50856, 52084, 50811, 53158, 50811, 51694, 52084, 54935, 50856, 52726, 52479, 50854, 51793, 53592, 54496, 52479, 53590, 52952, 52408, 59510, 55092, 50798, 55892, 52084, 52940, 52412, 50901, 51793, 55157, 54046, 52768, 52276, 57353, 52084, 55552, 50856, 52884, 52412, 69238, 50811, 53788, 51091, 51716, 78497, 52084, 55804, 50856, 52084, 50811, 53158, 50811, 51694, 52084, 54935, 50856, 52726, 51150, 53592, 54496, 50798, 52952, 50832, 55092, 50798, 55892, 52084, 52940, 51150, 55157, 60901, 51899, 52084, 55552, 50856, 52884, 50816, 60901, 53206, 50811, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2842, 9, 15073, 6, 4246, 326, 15673, 10342, 6, 81, 9756, 8669, 6, 31391, 1672, 9590, 6, 21072, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 19448, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 20, 33215, 16739, 9, 230, 119, 1176, 406, 6, 272, 401, 6, 230, 119, 1176, 406, 6, 8, 3676, 406, 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 ]

[ 57448, 53028, 75011, 50835, 51570, 52772, 51956, 53028, 75011, 50835, 51570, 60822, 50763, 50356, 57295, 50763, 50355, 71480, 50763, 50353, 50930, 50763, 50351, 57887, 51956, 50763, 50350, 51031, 50763, 50348, 57895, 50763, 50356, 58839, 50763, 50355, 53848, 50763, 50353, 58693, 50763, 50351, 50840, 50763, 50350, 50887, 51094, 50299, 50812, 55199, 50925, 72714, 55376, 50763, 50348, 50859, 50416, 50763, 50346, 61060, 54144, 50858, 55873, 74871, 50763, 50344, 50800, 50763, 50355, 54402, 55301, 50858, 58385, 50821, 50763, 50353, 50828, 50763, 50351, 62906, 50763, 50350, 61359, 50763, 50348, 65647, 57435, 50830, 57716, 59474, 50763, 50346, 53049, 55301, 51486, 58385, 51446, 58128, 51446, 50856, 52707, 50891, 50763, 50344, 50833, 50763, 50343, 75322, 73876, 57050, 50763, 50339, 61699, 50763, 50338, 53705, 73245, 50763, 50336, 61231, 50763, 50334, 63221, 50763, 50332, 64359, 50763, 50331, 57667, 50763, 50329, 54927, 50856, 52707, 50891, 50763, 50327, 57477, 64976, 56432, 79816, 72536, 50763, 50322, 53858, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 50798, 50835, 54983, 50830, 54876, 50925, 72714, 52707, 61252, 51684, 50821, 55199, 54718, 52584, 50921, 55873, 50936, 50913, 56016, 54144, 50833, 57655, 54818, 52993, 51675, 58385, 50918, 55199, 51103, 50856, 52707, 53670, 50913, 54114, 50856, 52707, 53384, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 50798, 50829, 53053, 50808, 53807, 50925, 72714, 52707, 61252, 51526, 50821, 54030, 55446, 51684, 50952, 55199, 78562, 56016, 52584, 50859, 55873, 52710, 52474, 50983, 55199, 56300, 53807, 55277, 50856, 52707, 68713, 54173, 55277, 65304, 54114, 50856, 52707, 62971, 72517, 50882, 50744, 50292, 55920, 51338, 54738, 59275, 53057, 51338, 53259, 50744, 50292, 55362, 72517, 55362, 50856, 52707, 55047, 52738, 50913, 50908, 55858, 52707, 53738, 50913, 53098, 50856, 52707, 50891, 51974, 52543, 50928, 51450, 53237, 52707, 53384, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 50798, 50835, 51094, 50299, 50812, 55199, 50925, 52387, 51730, 53237, 52532, 61252, 54144, 50858, 55873, 50858, 52213, 54611, 55301, 50858, 58385, 50821, 51756, 55006, 56016, 57435, 50800, 57716, 50809, 51760, 52329, 55301, 51486, 58385, 51446, 58128, 51446, 51756, 51077, 50856, 52707, 53670, 50913, 54114, 50856, 52707, 53384, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 65959, 53197, 50835, 54983, 50800, 54876, 50833, 57695, 53948, 53237, 52707, 61252, 51684, 50821, 55199, 50858, 54091, 68582, 52584, 50821, 55873, 50936, 52861, 54766, 56016, 54144, 50833, 57655, 50887, 52213, 52450, 52993, 51675, 58385, 50918, 55199, 51103, 52387, 51183, 50856, 52707, 53670, 50913, 54114, 50856, 52707, 53384, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 65959, 54902, 50829, 53053, 50910, 53807, 50925, 65959, 53303, 53237, 52707, 61252, 51526, 50921, 54030, 50882, 57695, 53728, 51684, 50952, 55199, 50952, 54091, 53869, 56016, 52584, 50859, 55873, 50812, 52861, 52450, 52474, 50983, 55199, 56300, 53807, 55277, 54227, 78886, 52707, 68713, 54173, 55277, 65304, 54114, 50856, 52707, 62971, 72517, 50882, 50744, 50292, 55920, 51338, 50867, 54786, 54766, 59275, 53057, 51338, 53259, 54786, 51486, 50744, 50292, 55362, 72517, 55362, 50856, 52707, 55047, 52738, 50913, 50908, 50799, 51436, 68942, 52707, 61252, 51250, 69551, 51262, 67160, 56016, 51223, 51941, 50426, 51250, 52369, 50856, 52707, 53670, 51940, 51662, 51478, 52015, 50798, 52543, 50928, 51450, 53237, 52707, 53384, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 50798, 50835, 51094, 50299, 50812, 55199, 50925, 52387, 53632, 53237, 52532, 61252, 54144, 50858, 55873, 50858, 52213, 53066, 55301, 50858, 58385, 50821, 51756, 56474, 56016, 57435, 50830, 57716, 50809, 51760, 54156, 55301, 51486, 58385, 51446, 58128, 51446, 51756, 51358, 50856, 52707, 53670, 50913, 54114, 50856, 52707, 53384, 50913, 53430, 50856, 52707, 53556, 50913, 56013, 50798, 50835, 54983, 50830, 54876, 50925, 57695, 53197, 53237, 52707, 61252, 51684, 50821, 55199, 50858, 54091, 68655, 52584, 50921, 55873, 50936, 52861, 53189, 56016, 54144, 50833, 57655, 50887, 52213, 52450, 52993, 51675, 58385, 50918, 55199, 51103, 52387, 51358, 50856, 52707, 53670, 50913, 54114, 51770, 51121, 52150, 51173, 50856, 52707, 53384, 52232, 51277, 52400, 51192, 50913, 53430, 50856, 52707, 69232, 51478, 51283, 51940, 51364, 63908, 56013, 65959, 54880, 50829, 53053, 50910, 53807, 50925, 65959, 53197, 53237, 52707, 61252, 51526, 50921, 54030, 50882, 57695, 54448, 51684, 50952, 55199, 50952, 54091, 55355, 56016, 52584, 50859, 55873, 50812, 52861, 53425, 52474, 50983, 55199, 56300, 53807, 55277, 54227, 51189, 50856, 52707, 68713, 54173, 55277, 65304, 54114, 50856, 52707, 62971, 72517, 50882, 50744, 50292, 55920, 51338, 50809, 54786, 52532, 59275, 53057, 51338, 52536, 54786, 51358, 50744, 50292, 55362, 72517, 55362, 50856, 52707, 55047, 52738, 50913, 50908, 50799, 51436, 68942, 52707, 61252, 51250, 69551, 51262, 67160, 56016, 51223, 51941, 50426, 51250, 52369, 50856, 52707, 50891, 51974, 52543, 60622, 51769, 50891, 51450, 53237, 52707, 53384, 52387, 53852, 52755, 56377, 51137, 50836, 52387, 53756, 53057, 51137, 50858, 52387, 50940, 51456, 51920, 52790, 58207, 51349, 50808, 52213, 64817, 52579, 51416, 50858, 51756, 50378, 53221, 52755, 56013, 50798, 50835, 54920, 50805, 52527, 50846, 51971, 58790, 53756, 52761, 51684, 50879, 51760, 59396, 51865, 61266, 50763, 50356, 59946, 50763, 50355, 62782, 50763, 50353, 50840, 50763, 50351, 54818, 52474, 51030, 51756, 52411, 58278, 50818, 50763, 50350, 50884, 50763, 50348, 62171, 74420, 56082, 67688, 56082, 64679, 56082, 66681, 56082, 50432, 58154, 51356, 52213, 51685, 52356, 52816, 61251, 50763, 50356, 56585, 50763, 50355, 55167, 50763, 50353, 59701, 50763, 50351, 50857, 50763, 50350, 50862, 51570, 56068, 50763, 50348, 50854, 50440, 50763, 50346, 63753, 50763, 50344, 50810, 50763, 50355, 50867, 54032, 50834, 50763, 50353, 50829, 50763, 50351, 63693, 50763, 50350, 61334, 50763, 50348, 51008, 50448, 50763, 50346, 54385, 54030, 50808, 57716, 53228, 66069, 50763, 50344, 50874, 50763, 50343, 50851, 50452, 73876, 61096, 50763, 50339, 68935, 50763, 50338, 55293, 73550, 50763, 50336, 78473, 50763, 50334, 51123, 50458, 50763, 50332, 69510, 51132, 52411, 59652, 50763, 50331, 59119, 50763, 50329, 51126, 52894, 51977, 54173, 50940, 58385, 53393, 51187, 50846, 50763, 50327, 66583, 64976, 50908, 53440, 50825, 79816, 72364, 50763, 50322, 62861, 54069, 50843, 52712, 53807, 50800, 58128, 50809, 79211, 50828, 53764, 80029, 54002, 50843, 55136, 52766, 53091, 50858, 55199, 53690, 66069, 54268, 52875, 52387, 51539, 54255, 51137, 50809, 52387, 53833, 52772, 51137, 50858, 52387, 55508, 51187, 54363, 51349, 50800, 52213, 61871, 53137, 51416, 50858, 51756, 51187, 53756, 54600, 51756, 54119, 50835, 54920, 50879, 52527, 50895, 51971, 51654, 51187, 50846, 53440, 52944, 51684, 50938, 51760, 54523, 51464, 54069, 50843, 52712, 52474, 50893, 51756, 54690, 66069, 53764, 52818, 58154, 51356, 52213, 50896, 74420, 56082, 66681, 56082, 64679, 56082, 67688, 56082, 61246, 53908, 73693, 51570, 50828, 54268, 52875, 52387, 51397, 52093, 59341, 52772, 54030, 50808, 57716, 53228, 51187, 54363, 73693, 51453, 54370, 51132, 56690, 55136, 50834, 52894, 51977 ]

[ 0, 250, 33928, 8, 33558, 3495, 2214, 4246, 10, 13305, 483, 7513, 30, 31391, 1672, 9590, 6, 326, 5638, 18026, 6, 2724, 368, 31365, 25999, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 41, 17627, 17274, 2365, 5466, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 60603, 50821, 51144, 50821, 51119, 50821, 51837, 50858, 52709, 50821, 55165, 50882, 51132, 68113, 55456, 64754, 51280, 50858, 51144, 50950, 51119, 50821, 51837, 50894, 52709, 50882, 55165, 54567, 65532, 51280, 50821, 51144, 50821, 51119, 50882, 51837, 50859, 52709, 50858, 55165, 55328, 52654, 51280, 50950, 51144, 50894, 51119, 50858, 51837, 50858, 52709, 50882, 55165, 50859, 51118, 50839, 51023, 59607, 51907, 54049, 59545, 51280, 50800, 51144, 50950, 51119, 50950, 51837, 50882, 52709, 50821, 55165, 50858, 51349, 50937, 54547, 50434, 51280, 50821, 51144, 50882, 51119, 50821, 51837, 50859, 52709, 50858, 55165, 50821, 51416, 50910, 73522, 52729, 51280, 50858, 51232, 50894, 51099, 50821, 51837, 50882, 52778, 50821, 53519, 50821, 51416, 57130, 55413, 50442, 51280, 50821, 51232, 50821, 51099, 50894, 51837, 50821, 52778, 50821, 53519, 55400, 62077, 51280, 50859, 51232, 50894, 51099, 50950, 51837, 50821, 52778, 50821, 53519, 55768, 52843, 51280, 50821, 51232, 50882, 51099, 50894, 51837, 50858, 52778, 50858, 53519, 59494, 71867, 50863, 51137, 50943, 59611, 53507, 57924, 51280, 50859, 51232, 50882, 51099, 50821, 51837, 50950, 52778, 50821, 53519, 55328, 63105, 51280, 50950, 51232, 50858, 51099, 50821, 51837, 50821, 52778, 50800, 53519, 53558, 70968, 61310, 50882, 51144, 50882, 51308, 50821, 52353, 50859, 52709, 50894, 55374, 50821, 51526, 67839, 55413, 50418, 51198, 50821, 51144, 50800, 51308, 50858, 52353, 50858, 52709, 50821, 55374, 59540, 65532, 51198, 50821, 51144, 50803, 51308, 50858, 52353, 50821, 52709, 50821, 55374, 59540, 52654, 51198, 50858, 72595, 51308, 50821, 52353, 50882, 52709, 50821, 55374, 50821, 51083, 71867, 59607, 51907, 53507, 59545, 69322, 72548, 51308, 50858, 52353, 50950, 52709, 50950, 55374, 50821, 51132, 59190, 59909, 51198, 50858, 51144, 50859, 77595, 52353, 50821, 52709, 50821, 55374, 50821, 51132, 50910, 73522, 52729, 51280, 51932, 51232, 50980, 51099, 50980, 51837, 51112, 52778, 50980, 53519, 51932, 51416, 67839, 55413, 50442, 54547, 56576, 52843, 51280, 50894, 51837, 68094, 71867, 50863, 50876, 63390, 51907, 56757, 50454, 51198, 50821, 52353, 50808, 50902, 50882, 51137, 59190, 63105, 51144, 50821, 52709, 50821, 70640, 51137, 50910, 53360, 52258, 70781, 51603, 55165, 51500, 50999, 51112, 51132, 68113, 55413, 50418, 54547, 56400, 52654, 51119, 50950, 55165, 50859, 51118, 50839, 79082, 50999, 68957, 51907, 54049, 59545, 51153, 50858, 53481, 50950, 51062, 50882, 51349, 50937, 54547, 50434, 51275, 50859, 59150, 50821, 51146, 50858, 51416, 50910, 73522, 52729, 51119, 51045, 55165, 50823, 50999, 51045, 51416, 57130, 55413, 50442, 54547, 50446, 51099, 50859, 53519, 50858, 50951, 54567, 52843, 51144, 50882, 52709, 50821, 51089, 71867, 50863, 57061, 51137, 50943, 59611, 53507, 57924, 51099, 50882, 53519, 50803, 50951, 55328, 63105, 51198, 50821, 52353, 64441, 53287, 70968, 62673, 50940, 52709, 50830, 50931, 50921, 51526, 67839, 55413, 50418, 54547, 50422, 51099, 50859, 53519, 50894, 50951, 54567, 52654, 51144, 51345, 52709, 51227, 51083, 71867, 50863, 50931, 51227, 59611, 54049, 59545, 51132, 59190, 59909, 51132, 50910, 73522, 52729, 51119, 50940, 55165, 50910, 74104, 51416, 67839, 55413, 50442, 54547, 50446, 51153, 50882, 53481, 50858, 51062, 51740, 52843, 51099, 50821, 53519, 50821, 51089, 71867, 50863, 50951, 63390, 51907, 53507, 57924, 51144, 50882, 52709, 50821, 72862, 51137, 59190, 63105, 51198, 50821, 52353, 50821, 50902, 50950, 51137, 50910, 69447, 62673, 51603, 52709, 72694, 51603, 51132, 67839, 55413, 50418, 54547, 56400, 52654, 51119, 50882, 55165, 75631, 50839, 79082, 50999, 62809, 51907, 53507, 59545, 51144, 50882, 52709, 50859, 50931, 50894, 51416, 59190, 59909, 51099, 50859, 53519, 50821, 62678, 51416, 50910, 73522, 52729, 51144, 50921, 52709, 51033, 73057, 51526, 57130, 55413, 50442, 54547, 50446, 51119, 50821, 55165, 50821, 50999, 54567, 52843, 51099, 50894, 53519, 50859, 51083, 71867, 50863, 62679, 51132, 50943, 59611, 56757, 50454, 51144, 50800, 52709, 50882, 50931, 58095, 63105, 51198, 50950, 52353, 50821, 50902, 53558, 69373, 62673, 50980, 52709, 51227, 50931, 50980, 51132, 68113, 55413, 50418, 54547, 56400, 52654, 51708, 50950, 51578, 75631, 50839, 79082, 50877, 65465, 51907, 54049, 59545, 51280, 50821, 51837, 50821, 61496, 51349, 50937, 54547, 50434, 51198, 50858, 52353, 50821, 68455, 51416, 50910, 73522, 52729, 51280, 51603, 51837, 51227, 50876, 51500, 51416, 67839, 55413, 50442, 54547, 56576, 52843, 55235, 50882, 52172, 50821, 51119, 50821, 55165, 50821, 51089, 79165, 50863, 50999, 62809, 51907, 53507, 57924, 53459, 50859, 51979, 50821, 51099, 50821, 53519, 50894, 62679, 51137, 54345, 51740, 63105, 53192, 50821, 51978, 50821, 51144, 50821, 52709, 50894, 72862, 51137, 50910, 62493, 50386, 54945, 50799, 55235, 51012, 52172, 50911, 52326, 51097, 51303, 51097, 51327, 63085, 60365, 59772, 50857, 51132, 51472, 60211, 52054, 64039, 50900, 60365, 59772, 53111, 71871, 55235, 51362, 52172, 51226, 50900, 60365, 59772, 50857, 56889, 51118, 50839, 79082, 50900, 60365, 59772, 62156, 55701, 50430, 51476, 50838, 51303, 50838, 51249, 58753, 60365, 59772, 53111, 50907, 69374, 60365, 59772, 50857, 51132, 54312, 64176, 50438, 52326, 51535, 51303, 51535, 51327, 51535, 50900, 60365, 59772, 50857, 51132, 51204, 55032, 77025, 62464, 62821, 53065, 50907, 68121, 60365, 59772, 50857, 57491, 55235, 50821, 52172, 79065, 50839, 79082, 50900, 60365, 59772, 62156, 55701, 50454, 53459, 50858, 51979, 77738, 60365, 59772, 50857, 51416, 50897, 53673, 50458, 53192, 50859, 51978, 66728, 60365, 59772, 50857, 51910, 62064, 64176, 50799, 55235, 50806, 52172, 50806, 52303, 51097, 51465, 51097, 51651, 51097, 52109, 76371, 61381, 60334, 60982, 50857, 51416, 51291, 55032, 50418, 50916, 61381, 60334, 60982, 53111, 71871, 53459, 51541, 51979, 51362, 50916, 61381, 60334, 60982, 50857, 56889, 51089, 71867, 50863, 50916, 61381, 60334, 60982, 62156, 55701, 50430, 51465, 50838, 51231, 50838, 51414, 50838, 51327, 62215, 61381, 60334, 60982, 53111, 76969, 50916, 61381, 60334, 60982, 50857, 51416, 53530, 64176, 50438, 52303, 51535, 51465, 51535, 51651, 51535, 52109, 51535, 50916, 61381, 60334, 60982, 50857, 51416, 50983, 55032, 50442, 50916, 61077, 61752, 62141, 53065, 74955, 50916, 61381, 60334, 60982, 50857, 57491, 55235, 50821, 52172, 50859, 51089, 71867, 50863, 50916, 61381, 60334, 60982, 62156, 55701, 50454, 56816, 50821, 52380, 73623, 61381, 60334, 60982, 50857, 55301, 50901, 53673, 50458, 56816, 50894, 52380, 50882, 50916, 61381, 60334, 60982, 50857, 52993, 62064, 64176, 50799, 63858, 50923, 52833, 50806, 52326, 51097, 51303, 51097, 51327, 63085, 60365, 59772, 50857, 51132, 50983, 52506, 60232, 50900, 60365, 59772, 53111, 71871, 56816, 51237, 52380, 53751, 50304, 60365, 59772, 50857, 56889, 51118, 50839, 79082, 50900, 60365, 59772, 62156, 53365, 50430, 51476, 50838, 51303, 50838, 51249, 58753, 60365, 59772, 53111, 50907, 69374, 60365, 59772, 50857, 51132, 53530, 64176, 50438, 63858, 50893, 52833, 50806, 52326, 51535, 51303, 51535, 51327, 51535, 50900, 60365, 59772, 50857, 51132, 51003, 55032, 77025, 62464, 62821, 53065, 74955, 56816, 50821, 52380, 66728, 60365, 59772 ]

[ 0, 250, 15352, 30054, 8, 20425, 5175, 2125, 19, 15855, 16882, 6, 4246, 10, 13602, 6757, 8, 13305, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 4, 20, 33215, 16739, 1171, 230, 73, 495, 6, 272, 6, 230, 119, 1176, 406, 6, 211, 119, 406, 6, 8, 230, 401, 6, 8216, 7, 63, 13363, 28191, 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 ]

[ 57211, 50417, 51144, 53066, 51099, 58861, 51119, 52654, 51308, 55730, 51099, 52658, 51119, 54112, 51144, 52729, 51153, 56532, 57533, 53743, 51435, 50845, 57457, 55118, 59410, 53140, 51489, 50813, 55745, 76960, 51275, 55726, 63885, 57457, 53820, 51435, 50845, 59410, 54846, 57533, 50822, 50799, 51516, 50810, 55561, 50959, 50417, 51153, 53066, 71499, 58899, 61544, 51489, 52654, 51435, 55730, 51275, 52658, 51489, 54112, 51153, 52729, 51516, 56532, 55561, 53743, 51837, 50845, 54476, 55118, 54676, 53140, 51948, 50813, 53952, 76960, 51578, 55726, 51948, 50810, 54476, 53820, 51837, 50845, 54676, 54846, 55561, 50822, 50799, 71837, 53952, 50959, 50417, 52353, 53066, 51837, 50810, 54676, 67724, 51948, 52654, 71837, 53952, 76978, 51837, 52658, 51948, 50810, 53205, 66804, 52353, 52729, 51837, 50810, 53256, 50959, 50441, 51948, 53103, 71837, 55561, 76791, 51516, 52843, 51435, 50810, 54476, 50959, 50453, 51578, 52863, 51516, 50810, 54676, 67419, 51948, 50810, 50799, 71837, 53952, 50959, 50417, 51516, 53066, 51435, 50810, 59410, 67724, 51489, 52654, 71499, 55654, 76978, 51435, 52658, 63885, 55561, 66804, 51516, 52729, 51435, 50810, 54476, 50959, 50441, 51489, 53103, 71499, 54676, 76791, 51153, 52843, 51429, 50810, 53952, 51419, 50453, 51275, 52863, 51153, 54678, 63885, 69378, 56624, 57457, 53728, 80062, 59410, 54252, 55654, 52921, 51435, 50813, 55561, 50959, 50428, 51489, 55863, 51435, 50845, 59410, 60675, 55654, 66804, 51516, 50810, 57457, 58450, 63885, 55561, 50959, 50441, 51275, 53103, 76012, 61947, 76791, 51429, 52843, 51119, 50810, 57533, 50959, 50453, 51153, 52863, 51429, 50810, 57457, 67419, 71499, 69296, 50810, 59410, 50959, 50417, 51489, 53066, 71499, 55654, 67724, 51435, 52654, 63885, 55561, 76978, 51516, 52658, 51435, 50810, 59410, 66804, 51578, 52729, 51516, 50810, 61947, 51412, 50441, 51489, 60964, 51435, 53524, 51516, 54803, 51837, 50810, 57533, 53140, 51489, 50813, 57457, 50959, 50452, 51435, 55726, 51489, 52863, 71499, 58148, 60864, 76012, 69296, 63118, 58899, 53066, 61018, 54347, 61947, 52654, 57533, 55730, 61018, 52658, 61947, 54112, 58899, 52729, 57457, 56532, 51153, 53103, 51275, 50845, 55561, 54803, 51489, 52843, 51435, 50810, 55654, 56366, 51275, 52863, 63885, 55561, 59097, 76012, 50799, 51429, 50845, 54476, 56624, 57457, 53066, 59410, 54347, 55654, 52654, 55561, 55730, 59410, 52658, 55654, 54112, 57457, 52729, 54476, 56532, 51275, 53103, 51489, 50845, 53205, 54803, 51435, 52843, 51516, 50810, 53952, 56366, 51489, 52863, 51435, 50810, 53205, 54678, 71499, 50799, 51489, 50845, 55561, 56624, 52892, 53066, 53799, 54347, 53256, 52654, 53205, 55730, 53799, 52658, 53256, 54112, 52892, 52729, 53799, 56532, 51516, 53103, 51435, 50810, 53256, 54803, 51489, 52843, 71499, 53799, 56366, 51435, 52863, 63885, 53205, 54678, 51516, 50810, 50799, 51435, 50845, 53256, 56624, 52451, 53066, 52892, 54347, 53799, 52654, 53256, 55730, 52892, 52658, 53799, 54112, 52451, 52729, 52892, 56532, 51578, 53103, 51516, 50810, 53799, 54803, 51435, 52843, 63885, 52892, 56366, 51516, 52863, 74828, 53256, 54678, 71837, 50799, 78597, 53799, 56624, 53603, 53066, 52070, 50878, 52451, 54347, 52892, 52654, 78597, 53799, 55730, 52451, 52658, 78276, 52892, 54112, 53603, 52729, 51948, 50878, 52451, 56532, 52892, 53103, 68182, 53799, 54803, 53256, 52843, 51489, 50878, 53205, 56366, 53799, 52863, 52070, 50878, 53256, 54678, 52892, 50810, 50799, 78597, 53799, 56624, 53256, 53066, 51429, 50878, 53205, 54347, 53952, 52654, 51777, 50878, 54676, 55730, 53205, 52658, 68182, 53952, 54112, 53256, 52729, 51489, 50878, 53205, 56532, 53952, 53103, 51435, 50878, 54676, 54803, 54476, 52843, 51516, 51134, 59088, 56366, 54676, 52863, 54476, 54678, 53952, 50810, 50799, 54676, 56624, 51119, 53066, 51429, 50810, 59410, 54347, 51777, 52654, 71499, 53205, 61822, 53952, 55863, 51429, 50810, 53205, 53387, 51777, 54112, 51119, 50810, 53256, 52729, 71837, 53952, 56532, 51516, 50810, 54676, 53103, 51435, 50810, 54476, 54803, 71837, 55561, 52843, 51516, 50810, 55654, 56366, 51435, 50810, 54476, 52863, 63885, 59088, 54678, 51516, 50810, 54676, 50810, 50799, 51435, 50810, 54476, 56624, 52353, 50810, 53952, 53066, 52929, 50810, 54676, 54347, 52778, 50810, 53205, 52654, 52353, 50845, 53952, 55730, 71837, 53256, 52658, 51948, 50810, 53205, 54112, 51516, 50810, 53799, 52729, 51777, 50810, 53256, 57366, 51948, 53103, 71837, 54476, 55118, 51516, 52843, 51435, 50813, 53256, 76960, 51516, 55726, 51435, 52863, 63885, 59410, 54846, 51275, 50813, 69378, 50810, 54476, 58172, 52353, 53066, 51837, 50810, 61018, 61544, 51948, 52654, 51578, 55730, 51837, 52658, 51948, 54112, 52353, 52729, 51837, 51452, 50441, 53256, 53743, 53205, 55118, 53952, 53140, 54676, 56936, 53205, 53820, 57537, 54846, 53256, 50822, 50799, 53205, 51803, 50417, 51578, 53066, 51948, 54347, 51837, 52654, 52353, 55730, 51948, 52658, 51837, 54112, 51578, 52729, 51948, 51452, 50441, 54476, 53743, 54676, 55118, 53952, 53140, 53205, 56936, 54676, 53820, 53952, 54846, 54476, 50822, 50799, 54676, 51803, 50417, 51837, 53066, 51948, 54347, 51578, 52654, 51516, 55730, 51948, 52658, 51578, 54112, 51837, 52729, 51948, 51452, 50441, 53205, 53743, 53952, 55118, 54676, 53140, 54476, 56936, 53952, 53820, 54676, 54846, 53205, 50822, 50799, 53952, 51803, 50417, 51516, 53066, 51578, 54347, 51948, 52654, 51837, 55730, 51578, 52658, 51948, 58952, 51516, 52729, 51578, 51452, 50441, 55561, 53743, 54476, 55118, 56676, 53140, 53952, 56936, 54476, 53820, 56676, 54846, 55561, 50822, 50799, 54476, 50959, 50417, 51435, 53066, 51516, 50845, 56676, 67724, 51578, 52654, 51948, 50810, 54476, 76978, 51516, 52658, 71837, 55561, 66804, 51435, 52729, 51516, 50810, 55745, 50959, 50441, 51578, 53103, 51948, 50810, 53205, 76791, 51837, 52843, 52353, 50810, 53952, 50959, 50453, 51948, 52863, 51837, 50810, 56676, 67419, 71837, 50799, 51948, 50810, 54476, 50959, 50417, 51837, 54644, 52353, 50810, 53799, 67724, 52778, 52654, 52709, 50810, 53256, 76978, 52353, 52658, 52778, 50810, 53205, 66804, 51837, 52729, 52709, 50810, 53256, 50959, 50441, 57457, 53743, 51837, 50810, 59410, 55118, 55745, 53140, 51578, 50813, 55561, 76960, 51948, 55726, 71837, 59410, 53820, 51516, 50810, 55745, 54846, 51435, 50810, 57457, 50822, 50799, 51435, 50810, 59410, 67943, 51639, 53066, 71499, 57533, 67724, 51153, 52654, 51308, 50810, 57457, 76978, 51275, 52658, 76012, 59410, 66804, 51639, 52729, 71499, 55745, 57366, 51489, 50854, 57457, 64300, 51435, 50942, 59410, 50955, 50448, 51119, 50925, 55745, 50955, 50452, 51099, 50925, 55561, 53586, 51435, 50897, 50460, 51308, 50897, 58899, 51203, 52177, 51489, 50938, 50421, 59860, 53651, 50422, 57533, 53651, 50423, 51119, 53363, 50424, 51153, 53363, 50425, 51435, 53363, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8728, 3495, 2214, 19, 10, 25306, 619, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 17465, 102, 6, 8, 3152, 6757, 6, 2351, 10, 19448, 5466, 1969, 13, 5, 2317, 191, 4, 8504, 11, 5, 762, 9, 211, 3694, 19, 10, 7212, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 50899, 61026, 51455, 50290, 51151, 51050, 61739, 54644, 50871, 51714, 50902, 51714, 50931, 51714, 57025, 54975, 51026, 55247, 51050, 50915, 54868, 51151, 51027, 61861, 63142, 59374, 50845, 54569, 51714, 50989, 51714, 50876, 51714, 56759, 54975, 51027, 55247, 51026, 50915, 57497, 51151, 51027, 51151, 50989, 51151, 50426, 51028, 54975, 51147, 55247, 51114, 50915, 54578, 51455, 50292, 51047, 50906, 69791, 71115, 51047, 56440, 51115, 50906, 51115, 50876, 51714, 50438, 51360, 61432, 63142, 79004, 53999, 50956, 51115, 51085, 51115, 51027, 51115, 74228, 54578, 51455, 50290, 60006, 59374, 73787, 50915, 51914, 50838, 51515, 50974, 51773, 50974, 51669, 50974, 50415, 57117, 51097, 53369, 51097, 55961, 61026, 59374, 50845, 51914, 50838, 51515, 50974, 51773, 50974, 51669, 56307, 51234, 51619, 50297, 58134, 51047, 51914, 51080, 57117, 51097, 53369, 51097, 50427, 72421, 74655, 51515, 51244, 51773, 51244, 51669, 68116, 51234, 51619, 50297, 50915, 57117, 51097, 53369, 59124, 51234, 51619, 50297, 61861, 58134, 50915, 54609, 50932, 57117, 51097, 53369, 51097, 50451, 51614, 51097, 51515, 51097, 57126, 57069, 59374, 51455, 50294, 60045, 50915, 51914, 50838, 51944, 50974, 51440, 50974, 51669, 50974, 50415, 53722, 51097, 51774, 51097, 69724, 57069, 59374, 50845, 51914, 50838, 51944, 50974, 51440, 50974, 51669, 56307, 51120, 60045, 68369, 51047, 67663, 51914, 51080, 53722, 51097, 51774, 51097, 50427, 74655, 51944, 51244, 51440, 51244, 51669, 51244, 66240, 60045, 50915, 53722, 51097, 51774, 59124, 51120, 60045, 61861, 68369, 50915, 57804, 50932, 53722, 51097, 51774, 51097, 50451, 51614, 51097, 51944, 51097, 54578, 61739, 51619, 50299, 51047, 51086, 51047, 51914, 50932, 51515, 51097, 51669, 51097, 50415, 52769, 51244, 52745, 51244, 53645, 61739, 50915, 51914, 50932, 51515, 51097, 51669, 57937, 51214, 51047, 50861, 69928, 51619, 50303, 51047, 53088, 50932, 51434, 51097, 57848, 51244, 52745, 51244, 52603, 51097, 56415, 67430, 50915, 53144, 50932, 51515, 51097, 51808, 51097, 53997, 51047, 77839, 74655, 51914, 51080, 51660, 51244, 54437, 51244, 51669, 51244, 55902, 79004, 50845, 52557, 50974, 51434, 56307, 51027, 57069, 50845, 52806, 50974, 51440, 55544, 50906, 71115, 50845, 52769, 50974, 51773, 56298, 51050, 51047, 50956, 51047, 68275, 52301, 51080, 53369, 51244, 50439, 52027, 51244, 51607, 51244, 55513, 57069, 50845, 51774, 50974, 51440, 56697, 50997, 57348, 50845, 52557, 50974, 51434, 56711, 51027, 59198, 50845, 52806, 50974, 51515, 50974, 55435, 51047, 50899, 51422, 50871, 51422, 50906, 51422, 75248, 51859, 51172, 52557, 51244, 51614, 51939, 50415, 51515, 51939, 51773, 51939, 52327, 51534, 50423, 59856, 51914, 50827, 51669, 53881, 50931, 51047, 51859, 51080, 52327, 68116, 51234, 50915, 57117, 59124, 51120, 60045, 68369, 60006, 61739, 50915, 51914, 50932, 53722, 51097, 51774, 51097, 50451, 51944, 51097, 51773, 51097, 51669, 51097, 54955, 51047, 50899, 51151, 50877, 59258, 50915, 52301, 50932, 52769, 51244, 51614, 51445, 50415, 51440, 51097, 51607, 51097, 54439, 60006, 51047, 53503, 51080, 51434, 51097, 51773, 68116, 51214, 51047, 50989, 50915, 57848, 51244, 51944, 51097, 56415, 60006, 61739, 50915, 51914, 50932, 51515, 51097, 51773, 51097, 51669, 51097, 53997, 51047, 51026, 51047, 50906, 61527, 61352, 50845, 51676, 50838, 54437, 51244, 52769, 51244, 50415, 51773, 50974, 52043, 50974, 52257, 50974, 56440, 51115, 69640, 53455, 51283, 51660, 51477, 51434, 51477, 64574, 58421, 61739, 51619, 50298, 50915, 51914, 50932, 52027, 51097, 56194, 51097, 51440, 51097, 51669, 59124, 51050, 66715, 58421, 61739, 50915, 51914, 50932, 53369, 51097, 52027, 51097, 51440, 51097, 50451, 51669, 51097, 54662, 51619, 50297, 61861, 51047, 67137, 72421, 53503, 51080, 57117, 51097, 53369, 51097, 50415, 51614, 51244, 51515, 51244, 51773, 72599, 53492, 50915, 50656, 50278, 57937, 50956, 58421, 51047, 51028, 51047, 50931, 51047, 51859, 51080, 52027, 51097, 51440, 51244, 52361, 51244, 52327, 51244, 50450, 51050, 50915, 53369, 51097, 54662, 51619, 50297, 58134, 61026, 59374, 50845, 51914, 50838, 57117, 51097, 53369, 51097, 50415, 51515, 50974, 51773, 50974, 51669, 50974, 55961, 61026, 59374, 50845, 51914, 50838, 51515, 50974, 51773, 50974, 51669, 56307, 51234, 51619, 50297, 58134, 51047, 51914, 51080, 57117, 51097, 53369, 51097, 50427, 72421, 74655, 51515, 51244, 51773, 51244, 51669, 68116, 51234, 51619, 50297, 50915, 57117, 51097, 53369, 59124, 51234, 51619, 50297, 61861, 50915, 54609, 50932, 57117, 51097, 53369, 51097, 73867, 50915, 51614, 51097, 51515, 51097, 57126, 57069, 51455, 50294, 60045, 61739, 50845, 51914, 50838, 51944, 50974, 51440, 50974, 50415, 53722, 51097, 51774, 51097, 51669, 58879, 50989, 57069, 59374, 50845, 51914, 50838, 51944, 50974, 51440, 50974, 51669, 56307, 51120, 60045, 68369, 51047, 67663, 74655, 51914, 51080, 53722, 51097, 51774, 51097, 50427, 51944, 51244, 51440, 51244, 51669, 51244, 66240, 60045, 50915, 53722, 51097, 51774, 59124, 51120, 60045, 61861, 68369, 50915, 57804, 50932, 53722, 51097, 51774, 51097, 50451, 51614, 51097, 51944, 51097, 54955, 51047, 50871, 61739, 51619, 50303, 51047, 51914, 50932, 51515, 51097, 52769, 51244, 52745, 51244, 51669, 51097, 53645, 61739, 50915, 51914, 50932, 51515, 51097, 51669, 51097, 57267, 69928, 51619, 50287, 51047, 51086, 51047, 53088, 50932, 57848, 51244, 52745, 51244, 51434, 51097, 52603, 51097, 56415, 67430, 50915, 53144, 50932, 51515, 51097, 51808, 51097, 53997, 51047, 77839, 74655, 51914, 51080, 51660, 51244, 51669, 51244, 54437, 51244, 56363, 57348, 50845, 52557, 50974, 51434, 50974, 56207, 63663, 50845, 52806, 50974, 51440, 55544, 51026, 61026, 50845, 52769, 50974, 51773, 56298, 51050, 51047, 50956, 51047, 68275, 52301, 51080, 53369, 51244, 50439, 52027, 51244, 51607, 51244, 55513, 57069, 50845, 51774, 50974, 51440, 56697, 50997, 57348, 50845, 52557, 50974, 51434, 56711, 50871, 63663, 50845, 52806, 50974, 51515, 50974, 55435, 51047, 50899, 51422, 50871, 51422, 51859, 51172, 52557, 51244, 51614, 51939, 50415, 50906, 51422, 75248, 51515, 51939, 51773, 51939, 52327, 51534, 50423, 59856, 51914, 50827, 51669, 53881, 50931, 51047, 51859, 51080, 52327, 68116, 51234, 50915, 57117, 59124, 51120, 60045, 68369, 60006, 61739, 50915, 51914, 50932, 53722, 51097, 51774, 51097, 50451, 51944, 51097, 51773, 51097, 51669, 51097, 54955, 51047, 50899, 51151, 50877, 59258, 50915, 52301, 50932, 52769, 51244, 51614, 51445, 50415, 51440, 51097, 51607, 51097, 54439, 60006, 51047, 53503, 51080, 51434, 51097, 51773, 68116, 51214, 51047, 50989, 50915, 57848, 51244, 51944, 51097, 56415, 60006, 61739, 50915, 51914, 50932, 51515, 51097, 51773, 51097, 51669, 51097, 53997, 51047, 51026, 51047, 50906, 61527, 50845, 51676, 50838, 54437, 51244, 52769, 51244, 50415, 50951, 50845, 51773, 50974, 52043, 50974, 52257, 50974, 56440, 51115, 69640, 53455, 51283, 51660, 51477, 51434, 51477, 64574, 58421, 61739, 51619, 50298, 50915, 51914, 50932, 52027, 51097, 56194, 51097, 51440, 51097, 51669, 59124, 51050, 66715, 58421, 61739, 50915, 51914, 50932, 53369, 51097, 52027, 51097, 51440, 51097, 50451, 51669, 51097, 54662, 51422, 51050, 51151, 50899, 51151, 50871, 61026, 51151, 53503, 51243, 57117, 51939, 53369, 51445, 50415, 51614, 51445, 51515, 50974, 51773 ]

[ 0, 250, 5679, 26709, 15855, 2125, 4246, 41, 21979, 8669, 6, 38668, 2236, 6, 8, 17691, 28430, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 657, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 7212, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 381, 8, 163, 6, 2351, 10, 32625, 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, 0, 0, 0, 0, 0, 0, 0 ]

[ 56103, 51317, 50967, 52012, 51091, 51316, 51091, 50417, 50998, 61766, 51078, 75826, 52012, 50967, 50947, 50967, 51316, 50967, 50429, 52012, 50967, 50998, 58443, 51316, 59067, 52866, 50967, 75005, 64966, 50998, 58647, 51292, 50967, 75005, 51091, 50456, 50998, 50967, 61894, 50967, 51067, 50967, 69896, 51091, 50417, 50998, 50967, 51292, 75826, 51788, 59204, 51078, 50967, 50429, 51067, 58443, 69896, 50830, 50998, 59067, 52012, 51091, 50441, 50998, 60482, 50998, 50967, 51316, 50967, 50447, 51067, 58647, 51078, 50967, 75005, 51091, 50453, 51316, 58760, 50998, 50967, 62954, 50967, 52012, 66128, 50998, 50967, 51316, 75826, 51316, 59204, 51078, 50967, 51067, 50967, 50429, 51316, 58443, 50998, 59067, 51131, 50967, 52012, 51091, 50441, 50998, 60482, 50998, 50967, 51316, 50967, 50447, 51067, 58647, 51078, 50967, 75005, 51091, 50453, 51316, 58760, 50998, 50967, 62954, 50967, 52012, 66128, 50998, 50967, 51316, 75826, 51078, 50967, 51067, 59204, 50998, 50967, 52355, 50967, 55425, 50967, 50429, 51316, 58443, 52012, 50967, 52355, 50830, 55425, 57907, 50998, 50967, 52355, 50830, 55425, 53402, 50998, 50967, 75005, 51091, 52926, 51091, 54426, 53218, 50998, 50967, 52866, 50967, 50447, 51292, 58647, 75005, 51091, 50456, 50998, 50967, 52866, 50967, 54246, 50830, 54426, 57814, 54246, 50830, 54426, 50830, 50799, 51078, 50967, 51067, 50967, 51444, 51091, 54219, 50967, 53452, 50967, 50417, 51078, 50967, 51292, 75826, 51788, 59204, 51078, 50967, 54219, 50967, 53452, 63395, 51067, 50967, 54219, 50967, 53452, 58443, 75005, 50967, 50435, 51316, 59067, 52012, 51091, 54246, 51091, 55425, 64966, 50998, 50967, 51316, 50967, 50447, 51067, 58647, 51078, 50967, 50453, 51316, 58760, 75005, 50967, 50998, 50967, 62954, 50967, 52012, 66128, 50998, 50967, 51316, 75826, 50998, 50967, 51067, 59204, 75005, 50967, 51078, 50967, 52549, 50967, 55425, 50967, 50429, 50998, 50967, 51316, 58443, 52012, 50967, 52285, 50967, 55425, 59067, 53092, 51091, 52285, 51036, 56085, 56027, 51311, 50967, 51076, 50967, 50447, 51316, 58647, 50960, 50967, 50453, 51078, 50967, 51067, 58760, 53092, 50967, 50459, 51786, 50967, 50799, 53092, 51091, 54776, 54994, 51311, 50967, 51076, 75826, 51316, 59204, 53092, 50967, 50960, 50967, 50429, 50998, 50967, 51067, 50967, 50435, 51292, 59067, 75005, 51091, 56335, 56027, 51311, 50967, 51076, 50967, 50447, 51067, 58647, 50960, 58760, 75005, 50967, 51078, 50967, 51786, 50967, 50799, 75005, 66128, 50998, 50967, 51076, 50967, 52824, 50967, 58550, 75826, 51067, 59204, 52824, 50967, 56654, 50967, 50429, 51076, 50967, 51786, 58443, 75005, 50967, 51900, 50967, 56335, 59067, 50947, 50967, 52012, 51091, 52549, 50807, 54776, 64966, 50947, 50967, 51316, 58647, 52549, 50967, 54776, 50967, 50453, 51169, 50967, 51067, 58760, 58999, 50967, 52824, 50967, 56335, 50967, 50459, 51316, 50967, 50799, 51078, 50967, 68643, 51091, 52355, 51091, 56654, 66128, 51078, 50967, 50947, 59204, 69896, 50967, 50429, 51317, 50967, 51316, 50967, 50435, 52028, 50967, 51786, 59067, 68643, 64966, 51078, 50967, 50947, 50967, 50447, 51078, 58647, 52355, 50967, 56654, 50967, 50453, 51078, 50967, 51076, 58760, 68643, 50967, 52824, 50967, 56654, 50967, 75961, 50967, 53805, 51091, 52549, 50967, 56335, 50967, 50417, 51846, 61766, 50970, 50967, 52549, 51091, 56335, 51091, 50423, 51316, 59204, 58999, 51091, 50429, 51076, 58443, 50970, 50967, 50435, 51438, 59067, 53805, 64966, 50970, 50967, 50970, 50967, 51316, 50967, 50447, 50970, 58647, 52549, 50967, 54776, 50967, 50453, 50970, 50967, 51076, 58760, 53805, 50967, 52824, 50967, 56335, 50967, 50799, 51078, 50967, 51444, 51091, 52355, 51091, 56654, 51091, 50417, 50960, 61766, 50947, 75826, 51316, 50967, 50429, 50947, 58443, 52012, 50967, 50960, 50967, 50435, 51788, 59067, 51444, 64966, 50960, 50967, 51076, 58647, 53805, 51091, 52355, 50967, 56654, 50967, 50453, 50998, 50967, 51316, 58760, 52824, 50967, 56335, 50967, 65309, 51091, 52549, 50967, 54776, 61766, 50947, 50967, 51788, 50967, 52285, 51036, 54776, 51358, 50429, 50947, 59067, 51316, 50967, 51788, 50967, 52012, 51091, 50447, 51076, 58647, 58999, 50967, 50453, 50947, 50967, 51316, 58760, 68643, 50967, 50799, 51169, 50967, 58999, 51091, 56335, 53561, 52866, 75826, 51292, 50967, 50429, 50947, 50967, 51786, 58443, 53092, 50967, 50435, 51292, 59067, 51076, 50967, 51574, 63419, 50998, 50967, 75005, 50807, 52549, 50967, 54776, 58760, 59241, 52824, 50967, 56335, 50967, 50799, 54432, 50967, 51317, 50967, 52355, 51091, 56654, 51091, 50417, 50947, 61766, 51076, 75826, 51316, 50967, 50429, 51317, 50967, 50947, 58443, 75005, 50967, 50435, 51786, 59067, 52012, 50967, 50998, 60482, 50947, 50830, 51786, 50830, 51317, 58647, 75005, 50967, 51574, 58760, 58999, 50967, 51846, 50967, 65309, 50967, 51131, 61766, 50998, 50967, 51788, 75826, 50947, 50967, 50429, 50998, 50967, 51788, 50967, 50435, 51078, 59067, 75005, 50967, 50998, 50967, 52866, 60482, 50998, 50967, 50447, 51078, 50967, 51786, 58647, 58999, 50967, 50453, 50998, 50967, 50459, 51292, 50967, 62954, 50967, 52012, 66128, 50998, 50967, 51316, 75826, 51316, 59204, 51078, 50967, 51067, 50967, 50429, 51316, 58443, 50998, 59067, 51131, 50967, 52012, 51091, 50441, 50998, 60482, 50998, 50967, 51316, 50967, 50447, 51067, 58647, 51078, 50967, 75005, 51091, 50453, 51316, 58760, 50998, 50967, 62954, 50967, 52012, 66128, 50998, 50967, 51316, 75826, 51078, 50967, 51067, 59204, 50998, 50967, 52355, 50967, 55425, 50967, 50429, 51316, 58443, 52012, 50967, 52355, 50830, 55425, 57907, 50998, 50967, 52355, 50830, 55425, 53402, 50998, 50967, 75005, 51091, 52926, 51091, 54426, 53218, 50998, 50967, 52866, 50967, 50447, 51292, 58647, 75005, 51091, 50456, 50998, 50967, 52866, 50967, 54246, 50830, 54426, 57814, 54246, 50830, 54426, 50830, 50799, 51078, 50967, 51067, 50967, 51444, 51091, 54219, 50967, 53452, 50967, 50417, 51078, 50967, 51292, 75826, 51788, 59204, 51078, 50967, 54219, 50967, 53452, 63395, 51067, 50967, 54219, 50967, 53452, 58443, 75005, 50967, 50435, 51316, 59067, 52012, 51091, 54246, 51091, 55425, 64966, 50998, 50967, 51316, 50967, 50447, 51067, 58647, 51078, 50967, 50453, 51316, 58760, 75005, 50967, 50998, 50967, 62954, 50967, 52012, 66128, 50998, 50967, 51316, 75826, 50998, 50967, 51067, 59204, 75005, 50967, 51078, 50967, 52549, 50967, 55425, 50967, 50429, 50998, 50967, 51316, 58443, 52012, 50967, 52285, 50967, 55425, 59067, 53092, 51091, 52285, 51036, 56085, 56027, 51311, 50967, 51076, 50967, 50447, 51316, 58647, 50960, 50967, 50453, 51078, 50967, 51067, 58760, 53092, 50967, 50459, 51786, 50967, 50799, 53092, 51091, 54776, 54994, 51311, 50967, 51076, 75826, 51316, 59204, 53092, 50967, 50960, 50967, 50429, 50998, 50967, 51067, 50967, 50435, 51292, 59067, 75005, 51091, 56335, 56027, 51311, 50967, 51076, 50967, 50447, 51067, 58647, 50960, 58760, 75005, 50967, 51078, 50967, 51786, 50967, 50799, 75005, 66128, 50998, 50967, 51076, 50967, 52824, 50967, 58550, 75826, 51067, 59204, 52824, 50967, 56654, 50967, 50429, 51076, 50967, 51786, 58443, 75005, 50967, 51900, 50967, 56335, 59067, 50947, 50967, 52012, 51091, 52549, 50807, 54776, 64966, 50947, 50967, 51316, 58647, 52549, 50967, 54776, 50967, 50453, 51169, 50967, 51067, 58760, 58999, 50967, 52824, 50967, 56335, 50967, 50459, 51316 ]

[ 0, 4688, 20425, 5175, 3836, 2214, 11, 12608, 3694, 6, 4246, 10, 11739, 9, 20642, 2323, 6, 38668, 18569, 6, 20535, 3315, 6, 36075, 29589, 6, 8, 23338, 33518, 1264, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 16, 3185, 30, 10, 16331, 33215, 16739, 9, 12608, 119, 6, 2060, 119, 6, 230, 10431, 6, 8, 274, 10431, 6, 2351, 10, 15352, 30054, 8, 33558, 5466, 14, 7630, 6568, 10, 1472, 9, 980, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 50796, 61627, 51325, 51016, 75881, 52382, 50706, 50324, 54527, 50798, 51095, 51190, 52526, 51481, 50443, 50843, 50941, 67746, 51365, 50449, 52470, 50454, 50843, 74884, 50843, 65019, 52470, 52478, 50843, 50971, 52399, 50864, 51510, 50864, 53764, 54854, 50843, 51022, 50434, 52558, 50440, 50843, 50941, 63262, 51365, 50445, 50852, 70570, 50843, 72587, 50843, 50851, 51453, 50864, 55986, 50971, 53440, 50864, 51039, 50864, 59915, 77045, 50843, 51022, 50431, 51325, 51091, 75881, 51336, 50706, 50324, 74903, 51194, 51190, 52526, 51642, 50436, 50843, 50941, 50439, 50843, 50984, 50442, 52470, 59341, 54939, 50843, 50851, 51647, 59972, 50843, 65540, 60393, 51809, 52470, 62074, 63366, 50843, 51022, 50427, 52558, 50433, 50843, 71259, 50843, 56006, 50852, 50864, 54032, 50941, 67746, 70936, 52470, 50455, 50843, 62298, 60393, 50460, 52470, 52478, 50843, 73122, 50843, 51022, 50424, 51325, 51016, 75881, 51661, 50706, 50324, 54805, 71781, 59734, 52526, 51481, 51694, 54889, 50816, 50368, 51163, 55286, 50816, 64930, 51365, 57177, 50984, 52470, 62434, 50907, 50440, 50816, 57821, 69869, 50816, 61551, 50851, 56594, 50912, 52470, 50448, 65552, 50451, 50816, 56661, 50971, 64119, 57729, 63652, 50816, 50827, 52470, 56875, 50827, 56703, 56395, 62399, 50816, 56395, 57711, 50816, 50874, 52558, 50423, 50816, 50874, 51694, 56395, 50941, 63261, 55638, 51365, 50431, 50816, 56558, 50864, 57671, 61573, 50816, 55638, 50941, 50440, 50816, 55638, 50851, 57040, 50844, 52470, 50445, 50816, 63956, 50816, 56944, 50971, 51899, 56944, 50827, 54706, 51373, 54232, 50816, 50810, 53206, 55309, 50904, 56703, 55309, 51022, 50416, 51325, 51573, 75881, 51362, 50706, 50324, 66196, 71781, 79365, 52526, 51481, 50419, 50816, 50854, 63741, 59301, 64462, 50816, 59301, 51365, 63261, 50854, 52470, 72958, 60462, 50816, 56613, 50941, 57008, 56613, 70327, 50816, 50833, 52470, 57040, 54207, 50816, 54796, 58554, 50816, 55250, 50864, 51899, 51420, 50864, 59986, 64848, 50816, 54692, 50904, 56032, 54692, 51022, 50461, 50798, 58473, 51582, 50867, 51809, 50816, 63814, 50816, 54692, 76247, 50816, 52154, 51365, 50424, 50798, 57321, 52227, 63726, 50816, 59545, 50816, 52154, 55286, 50816, 52154, 55270, 52613, 51106, 52189, 53945, 50816, 50859, 53525, 56593, 50971, 52129, 52634, 56593, 59763, 52855, 51106, 52153, 58914, 50816, 50890, 50452, 50798, 60332, 55509, 50904, 64119, 55509, 51022, 50457, 75881, 51941, 50706, 50324, 51585, 51511, 51991, 51569, 51161, 51781, 50859, 51780, 50858, 52652, 50833, 50746, 50300, 51353, 60948, 52121, 60516, 52069, 65050, 51692, 50798, 51003, 51190, 52526, 51363, 50460, 51325, 53435, 51781, 50835, 51780, 50829, 52652, 50863, 51601, 52527, 50974, 51781, 50828, 51780, 50828, 52652, 53816, 71045, 51781, 50857, 51780, 50810, 52652, 57729, 77686, 52527, 50901, 52470, 50423, 76031, 79115, 52652, 52992, 52527, 50901, 80008, 52652, 58272, 61660, 51781, 50839, 51780, 50841, 52652, 53944, 54150, 52527, 50845, 80008, 52652, 52748, 59816, 76031, 79115, 52652, 57320, 52527, 50987, 80008, 52652, 58272, 76428, 51781, 50886, 51780, 50867, 52652, 61551, 61285, 52840, 50977, 51781, 50846, 51780, 50846, 52652, 51437, 59763, 80008, 52652, 63078, 52527, 50866, 76031, 79115, 52652, 53434, 72584, 51781, 50904, 51780, 50864, 52652, 60349, 51128, 50454, 52678, 51141, 51228, 52392, 51885, 51945, 51511, 51894, 51781, 50882, 52459, 50833, 52395, 50800, 50746, 50293, 51353, 59060, 51945, 65445, 55428, 52558, 50456, 51781, 50820, 52459, 50863, 52395, 54603, 51781, 50884, 52459, 50834, 52395, 53846, 50941, 50799, 51781, 50833, 52459, 50827, 52395, 56944, 51365, 50417, 50852, 54202, 51781, 50961, 52459, 50839, 52395, 56493, 51971, 50892, 51781, 50863, 52459, 50928, 52395, 58810, 64462, 51781, 50846, 52459, 50829, 52395, 53434, 50851, 50428, 51971, 51417, 51781, 50863, 52459, 50928, 52395, 52465, 61924, 51781, 50961, 52459, 50839, 52395, 56859, 51781, 50863, 52459, 50928, 52395, 58810, 67009, 51781, 50813, 52459, 50941, 52395, 57323, 66090, 51781, 50895, 52459, 50820, 52395, 51187, 64524, 51781, 50863, 52459, 50928, 52395, 59892, 51781, 50961, 52459, 50839, 52395, 50818, 58065, 50358, 51163, 66185, 51781, 50886, 52459, 50971, 52395, 58043, 55814, 51213, 51605, 51473, 51945, 51511, 50863, 51548, 51538, 51659, 50859, 51543, 50890, 52459, 50855, 50746, 50298, 51714, 64906, 52151, 60608, 52222, 52558, 50453, 51659, 50835, 51543, 50829, 52459, 53555, 52840, 50845, 51659, 50828, 51543, 50828, 52459, 53816, 66585, 51659, 50844, 51543, 50810, 52459, 57729, 51365, 50461, 52840, 50901, 52470, 51809, 51659, 50818, 79006, 52459, 63180, 52840, 50892, 51659, 50891, 51543, 50870, 52459, 58272, 68684, 51659, 50839, 51543, 50841, 52459, 53944, 71203, 52840, 50845, 51659, 50891, 51543, 50870, 52459, 52748, 63726, 51659, 50818, 79006, 52459, 58331, 52840, 50892, 51659, 50891, 51543, 50870, 52459, 58272, 71588, 51659, 50886, 51543, 50867, 52459, 61551, 61284, 52280, 50845, 51659, 50846, 68989, 52459, 51437, 53945, 51659, 50891, 51543, 50870, 52459, 60895, 54598, 51006, 51659, 50818, 79006, 52459, 53434, 55368, 51659, 50904, 51543, 50864, 52459, 60349, 65932, 51971, 51191, 51205, 52392, 51778, 52069, 51473, 51894, 51659, 50882, 51780, 50833, 52652, 50800, 50746, 50291, 51353, 64906, 51939, 60516, 55428, 65050, 51945, 71950, 51659, 50820, 51780, 50863, 52652, 67099, 51659, 50884, 51780, 50834, 52652, 53846, 68935, 51659, 50833, 51780, 50827, 52652, 56944, 51365, 60651, 62495, 51659, 50961, 51780, 50839, 52652, 50818, 51601, 52527, 50901, 51659, 50863, 51780, 50928, 52652, 58810, 71045, 51659, 50846, 51780, 50829, 52652, 53434, 68483, 52527, 51413, 51659, 50863, 51780, 50928, 52652, 52465, 60039, 51659, 50961, 51780, 50839, 52652, 52437, 51659, 50863, 51780, 50928, 52652, 58810, 61036, 51659, 50813, 51780, 50941, 52652, 57323, 52739, 51659, 50895, 51780, 50820, 52652, 51187, 55643, 51659, 50863, 51780, 50928, 52652, 53115, 51659, 50961, 51780, 50839, 52652, 52141, 69506, 50843, 51022, 50443, 51019, 51894, 51278, 51894, 51329, 51991, 51781, 50859, 51780, 50890, 52395, 50855, 50746, 50296, 51359, 59060, 52069, 60948, 55277, 52558, 50446, 51781, 50835, 51780, 50829, 52395, 57989, 52721, 50866, 51781, 50828, 51780, 50828, 52395, 53816, 78127, 51781, 50857, 51780, 65513, 55681, 50984, 50454, 52721, 50866, 52470, 50457, 76031, 79115, 52395, 61994, 52721, 50845, 80008, 52395, 58272, 50941, 50799, 51781, 50839, 51780, 50841, 52395, 53944, 59010, 52721, 50905, 80008, 52395, 52748, 54202, 76031, 79115, 52395, 54446, 52721, 50901, 80008, 52395, 58272, 54689, 51781, 50886, 51780, 50867, 52395, 61551, 50827, 50428, 52280, 50845, 51781, 50846, 51780, 50846, 52395, 51437, 61924, 80008, 52395, 63633, 52721, 50901, 76031, 79115, 52395, 53434, 63123, 51781, 50904, 51780, 50864, 52395, 60349, 51022, 50440, 52527, 51091, 51228, 51605, 51885, 51945, 51278, 50825, 51511, 51894, 51781, 50882, 52459, 50833, 52395, 50800, 50746, 50293, 52071, 59060, 52069, 65445, 51353, 52558, 50442, 51781, 50820, 52459, 50863, 52395, 60822, 51781, 50884, 52459, 50834, 52395, 53846, 71487, 51781, 50855, 52459, 50864, 52395, 56129, 51365, 50451, 50852, 62564, 51781, 50961, 52459, 50839, 52395, 52349, 52840, 50937, 51781, 50863, 52459, 50928, 52395, 58810, 58182, 51781 ]

[ 0, 713, 20425, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 22750, 1626, 11098, 8, 8593, 26358, 149, 63, 15352, 30054, 15229, 4, 25837, 2987, 30, 10, 2247, 4069, 9, 81, 9756, 8, 2382, 3459, 29589, 6, 36075, 8669, 6, 3459, 9590, 6, 8, 21072, 6, 24, 11498, 10, 1769, 20889, 9, 10529, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 274, 538, 6, 5, 2125, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 230, 6, 163, 428, 6, 274, 6, 230, 6, 8, 163, 428, 6, 1271, 7, 63, 17627, 17274, 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 ]

[ 56236, 50920, 60461, 50920, 56856, 50920, 52762, 50920, 52766, 50920, 50829, 60859, 52565, 50903, 50818, 60859, 50818, 51768, 52565, 50903, 57000, 53583, 50834, 51382, 50884, 52354, 55198, 51347, 52903, 51497, 53454, 51323, 53454, 51222, 52045, 51143, 52045, 51344, 52045, 51118, 54300, 51061, 52903, 51023, 52903, 52531, 51367, 51239, 57369, 51931, 74327, 56987, 51931, 51450, 51392, 56877, 53583, 50834, 51382, 51179, 56995, 51931, 51528, 51392, 57369, 53583, 50834, 74327, 56987, 63709, 63046, 51245, 50901, 51839, 50849, 52856, 50849, 51521, 51060, 51348, 51111, 51569, 51111, 51020, 50849, 51193, 50879, 51546, 50879, 53583, 56877, 69053, 51245, 50987, 51839, 50977, 52856, 50987, 51521, 50938, 51348, 50917, 51569, 50977, 51020, 78350, 50917, 51546, 50977, 53583, 50834, 51382, 51179, 56995, 51186, 51655, 51497, 52071, 51839, 51894, 51478, 52069, 51611, 51991, 51222, 51991, 51348, 51605, 51061, 52069, 51193, 52392, 51185, 51894, 51931, 51528, 51392, 57369, 51931, 74327, 56987, 51931, 51450, 51392, 50817, 55258, 57000, 61754, 72646, 51382, 51179, 56995, 51105, 51021, 51245, 50917, 51839, 50917, 52856, 50917, 51521, 50948, 51348, 50865, 51569, 50938, 51020, 50924, 51193, 50924, 51546, 50924, 53583, 52885, 50846, 56020, 51186, 52500, 51839, 51692, 51497, 52069, 51478, 52069, 51611, 51538, 51222, 51538, 51348, 51941, 51061, 51894, 51193, 51486, 51185, 51894, 52531, 51367, 51239, 52676, 50804, 50884, 55258, 50884, 53526, 50884, 51382, 50884, 55350, 60427, 51105, 58063, 54739, 51031, 52354, 55198, 51347, 52903, 51497, 53454, 51323, 53454, 51222, 54484, 51143, 52045, 51344, 53090, 51118, 54300, 51061, 52903, 51023, 52903, 52531, 51367, 51239, 57369, 51931, 74327, 56987, 51931, 51450, 51392, 56877, 53583, 50834, 51382, 51179, 56995, 51931, 51528, 51392, 57369, 53583, 50834, 74327, 56987, 63709, 51105, 50923, 51245, 50901, 51839, 50849, 52856, 50849, 57379, 51348, 51060, 51569, 51111, 51020, 50849, 51193, 50879, 51546, 50879, 53583, 56877, 51105, 51021, 51245, 50987, 51839, 50977, 52856, 50987, 51521, 50977, 51348, 50917, 51569, 50917, 51020, 78350, 50917, 51546, 50977, 53583, 50834, 51382, 51179, 56995, 51096, 53435, 51497, 52071, 51839, 51894, 51478, 52069, 51611, 51991, 51222, 51605, 51348, 51605, 51061, 52069, 51193, 52392, 51185, 51894, 51931, 51528, 51392, 57369, 53583, 50834, 74327, 56987, 51931, 51450, 51392, 56877, 53583, 50834, 51382, 51179, 56995, 51105, 51021, 51245, 50917, 51839, 50917, 52856, 50917, 57379, 51348, 50938, 51569, 50938, 51020, 50924, 51193, 50924, 51546, 50924, 53583, 52885, 50846, 56020, 51186, 52369, 51839, 51692, 51497, 52069, 51478, 52069, 51611, 51538, 51222, 51161, 51348, 51161, 51061, 51894, 51193, 51486, 51185, 51894, 52531, 51367, 51239, 52676, 50804, 75224, 57000, 50798, 51031, 51382, 75224, 56637, 51105, 58396, 51031, 52354, 50896, 51323, 50917, 51593, 50917, 51497, 50849, 51222, 50918, 51143, 51356, 51061, 50879, 51023, 50924, 51092, 50924, 53583, 57369, 53583, 52928, 51323, 50917, 51593, 50917, 51497, 63566, 50806, 51023, 50924, 51092, 50924, 54001, 56987, 69124, 63709, 51105, 50896, 51856, 50977, 51245, 50917, 51839, 50849, 51521, 51291, 51348, 51343, 51341, 50917, 51020, 50924, 51193, 50879, 53583, 56877, 51245, 50901, 51839, 50901, 52856, 77447, 50849, 51193, 50849, 51546, 50879, 53583, 50834, 51382, 51179, 56995, 51186, 51388, 51497, 50901, 51839, 50795, 79429, 51222, 51091, 51348, 51091, 51061, 50849, 51193, 50806, 51185, 50879, 51931, 51528, 51392, 57369, 51186, 51021, 51497, 50864, 51839, 50844, 51478, 50851, 51061, 50857, 74116, 51185, 53835, 51392, 52928, 61954, 51245, 50917, 51839, 50987, 52856, 50901, 51348, 51111, 51020, 50924, 51193, 50977, 51546, 53888, 51179, 56973, 51222, 51111, 50434, 51222, 50836, 51348, 50854, 63709, 51105, 51192, 51497, 50977, 51478, 50977, 51839, 50901, 51222, 51111, 51348, 51100, 51061, 50917, 51193, 50849, 51185, 50917, 53583, 56877, 51105, 50933, 51222, 50854, 51348, 52972, 51392, 53057, 58337, 51245, 50849, 51839, 50849, 52856, 50849, 51222, 51346, 51348, 51157, 68865, 51193, 50879, 51546, 66993, 56995, 51583, 50955, 51856, 50955, 51557, 50942, 51341, 50942, 51931, 52354, 50896, 51497, 50892, 66710, 51593, 50849, 51222, 51077, 51143, 51356, 51061, 50901, 51023, 50879, 72036, 53583, 57369, 53583, 52928, 51497, 50901, 66710, 51593, 50849, 51061, 74224, 50879, 51092, 66993, 56987, 69124, 63709, 51105, 50896, 51856, 50849, 51245, 50849, 51839, 50901, 51521, 51446, 51348, 50983, 51341, 50879, 68865, 51193, 50849, 53583, 56877, 51245, 50901, 51839, 50901, 52856, 50901, 51020, 50849, 51193, 50849, 51546, 50849, 53583, 50834, 51382, 51179, 56995, 51186, 51388, 51497, 51100, 51839, 51110, 51478, 51110, 51222, 51204, 51348, 51091, 51061, 51158, 51193, 51215, 51185, 51215, 51931, 51528, 51392, 57369, 51186, 51021, 53583, 52928, 61954, 51245, 50917, 51839, 50917, 52856, 50917, 51222, 51111, 51348, 51060, 51020, 50924, 51193, 50924, 51546, 50924, 54001, 56987, 51222, 50812, 51348, 50854, 63709, 51105, 51192, 51497, 50917, 51478, 50865, 51839, 50901, 51222, 51100, 51348, 51100, 51061, 50924, 51193, 50849, 51185, 50936, 53583, 56877, 51105, 50933, 51222, 50854, 51348, 51747, 51392, 53057, 58337, 51839, 50917, 51245, 50849, 52856, 50901, 51222, 51124, 51348, 51346, 68865, 51193, 50924, 51546, 53888, 51179, 56995, 51931, 52354, 50896, 51323, 50917, 51593, 50917, 51497, 50849, 51222, 50918, 51143, 51356, 51061, 50879, 51023, 50924, 51092, 50924, 53583, 57369, 53583, 52928, 51323, 50917, 51593, 50917, 51497, 63566, 50806, 51023, 50924, 51092, 50924, 54001, 56987, 69124, 63709, 51105, 50896, 51856, 50977, 51245, 50917, 51839, 50849, 51521, 51291, 51348, 51343, 51341, 50917, 51020, 50924, 51193, 50879, 53583, 56877, 51245, 50901, 51839, 50901, 52856, 77447, 50849, 51193, 50849, 51546, 50879, 53583, 50834, 51382, 51179, 56995, 51186, 51388, 51497, 50901, 51839, 50795, 79429, 51222, 51091, 51348, 51091, 51061, 50849, 51193, 50806, 51185, 50879, 51931, 51528, 51392, 57369, 51186, 51021, 51497, 50864, 51839, 50844, 51478, 50851, 51061, 50857, 74116, 51185, 53835, 51392, 52928, 61954, 51245, 50917, 51839, 50987, 52856, 50901, 51348, 51111, 51020, 50924, 51193, 50977, 51546, 53888, 51179, 56973, 51222, 51111, 50434, 51222, 50836, 51348, 50854, 63709, 51105, 51192, 51497, 50977, 51478, 50977, 51839, 50901, 51222, 51111, 51348, 51100, 51061, 50917, 51193, 50849, 51185, 50917, 53583, 56877, 51105, 50933, 51222, 50854, 51348, 52972, 51392, 53057, 58337, 51245, 50849, 51839, 50849, 52856, 50849, 51222, 51346, 51348, 51157, 68865, 51193, 50879, 51546, 66993, 56995, 51583, 50955, 51856, 50955, 51557, 50942, 51341, 50942, 51931, 52354, 50896, 51497, 50892, 66710, 51593, 50849, 51222, 51077, 51143, 51356, 51061, 50901, 51023, 50879, 72036, 53583, 57369, 53583, 52928, 51497, 50901, 66710, 51593, 50849, 51061, 74224, 50879, 51092, 66993, 56987, 69124, 63709, 51105, 50896, 51856, 50849, 51245, 50849, 51839, 50901, 51521, 51446, 51348, 50983, 51341, 50879, 68865, 51193, 50849, 53583, 56877, 51245, 50901, 51839, 50901, 52856, 50901, 51020, 50849, 51193, 50849, 51546, 50849, 53583, 50834, 51382, 51179, 56995, 51186, 51014, 51497, 51100, 51839, 51110, 51478, 51110, 51222, 51204, 51348, 51091, 51061, 51158 ]

[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 23758, 3938, 20889, 6, 4246, 2382, 3459, 8669, 6, 3459, 9590, 6, 21072, 6, 8, 12577, 81, 9756, 8669, 4, 8504, 11, 83, 3694, 8, 204, 73, 306, 86, 6, 24, 29769, 198, 10, 33215, 16739, 9, 211, 6, 83, 6, 1918, 406, 6, 2351, 10, 3366, 219, 8, 15352, 30054, 3618, 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 ]

[ 57530, 51621, 50887, 50796, 51510, 74862, 50887, 51618, 56046, 51401, 51692, 51368, 51692, 51848, 53841, 53972, 57506, 50811, 52177, 51282, 50901, 51265, 50901, 51848, 53841, 51779, 52302, 50804, 56076, 51083, 51351, 51195, 51351, 51068, 55880, 50820, 51302, 54821, 61660, 51282, 51003, 51265, 58379, 52954, 54860, 52473, 51790, 51990, 51562, 51068, 55880, 50886, 52594, 53418, 51068, 55880, 63231, 51282, 51255, 51265, 51003, 51848, 53841, 52279, 57388, 52986, 50804, 52954, 54914, 51083, 51003, 51195, 51003, 51068, 55880, 50857, 51382, 59345, 51297, 50453, 51282, 51003, 51265, 53966, 55880, 54232, 53212, 51342, 61545, 51616, 51655, 51425, 51655, 51848, 53841, 52279, 55880, 50864, 55669, 55578, 66981, 68363, 51223, 52406, 50564, 53841, 52279, 55880, 54819, 51083, 51945, 51195, 51945, 50804, 57462, 58116, 51068, 55880, 53901, 51282, 51933, 51265, 51933, 50804, 57462, 50971, 54321, 52954, 60838, 51118, 51896, 51223, 51896, 51068, 55880, 50886, 52594, 55395, 51068, 55864, 59138, 51848, 53841, 52279, 63115, 50928, 54141, 52954, 56197, 51068, 58724, 50857, 51382, 55864, 60554, 51068, 52954, 54232, 51068, 55880, 57187, 51401, 51655, 51368, 51655, 51848, 53841, 52279, 55864, 50886, 55669, 59345, 66981, 51595, 50833, 51545, 53376, 50564, 53841, 52279, 55880, 54213, 51083, 51894, 51195, 51894, 53212, 51342, 53991, 51068, 55864, 53383, 51282, 52282, 51265, 52282, 50804, 57462, 50904, 54321, 52954, 56693, 51595, 51358, 51545, 51358, 51068, 58724, 50857, 52594, 59266, 51068, 55880, 58545, 51848, 53841, 52279, 63115, 53027, 50804, 59751, 58554, 51068, 55864, 50857, 51382, 70160, 50941, 53061, 55880, 51000, 56871, 70160, 61545, 52473, 51353, 51990, 51353, 51848, 53841, 52279, 55880, 50886, 55669, 59345, 51297, 50417, 51282, 51255, 51265, 51255, 51848, 53841, 52279, 55880, 58333, 51083, 51112, 51195, 59702, 55442, 56295, 51068, 52954, 53383, 51282, 51692, 51265, 52069, 50804, 59345, 59399, 53212, 51398, 60838, 51083, 52282, 51195, 52282, 51068, 55880, 50904, 52594, 57388, 61389, 51068, 55880, 59356, 51848, 53841, 51779, 57462, 53027, 50804, 52954, 57091, 51068, 55880, 50855, 51382, 70160, 58759, 51068, 52954, 53268, 51068, 55880, 57187, 51401, 51692, 51271, 54217, 51368, 51692, 51848, 53841, 52279, 50388, 52054, 55101, 50904, 55669, 57462, 56127, 51282, 50901, 51265, 50378, 53635, 53841, 51779, 55880, 51258, 55207, 70160, 54477, 51083, 51351, 51195, 51351, 51068, 55864, 50828, 51302, 57388, 54974, 51282, 51003, 51265, 58379, 55880, 53063, 50804, 55880, 56524, 52473, 51562, 51990, 51562, 50804, 55880, 53018, 53212, 51398, 57917, 51282, 51255, 51265, 51003, 51848, 53841, 52279, 52954, 53384, 53212, 51398, 57091, 51083, 51003, 51195, 51003, 51068, 55880, 50862, 51382, 70160, 60554, 51282, 51003, 51265, 53966, 55880, 54232, 50804, 55880, 56551, 51616, 51655, 51425, 51655, 51848, 53841, 54736, 55880, 50863, 55669, 57388, 51297, 50417, 68363, 51223, 52406, 50564, 53841, 52279, 55880, 52944, 51083, 51945, 51195, 51945, 50804, 55880, 57559, 51068, 55880, 53935, 51282, 51933, 51265, 51933, 50804, 50952, 51070, 63369, 51070, 53998, 51118, 51896, 51223, 51896, 51068, 57503, 50864, 52594, 59345, 52896, 51068, 55880, 63780, 51848, 53841, 52279, 63115, 54758, 53212, 50922, 66701, 51133, 53972, 55880, 53938, 51011, 51812, 70160, 61096, 57416, 51068, 52954, 55735, 50945, 53972, 58724, 57187, 51401, 51655, 50953, 50817, 51368, 51655, 51848, 53841, 56701, 63115, 50867, 52354, 51812, 59345, 62716, 51595, 50833, 50927, 51184, 51545, 53376, 50564, 53841, 52279, 55880, 53738, 51083, 51894, 51195, 51894, 50804, 55880, 56295, 51068, 55880, 54156, 51282, 52266, 51265, 52266, 50804, 59345, 56789, 53212, 50922, 60838, 51595, 51358, 51545, 51358, 51068, 55880, 50886, 52594, 59345, 52896, 51068, 55880, 59356, 51848, 53841, 51779, 63115, 53594, 53212, 50922, 57291, 51068, 58724, 50857, 51382, 70160, 50904, 53061, 52954, 53137, 51068, 55864, 54529, 52473, 52122, 61262, 52737, 51990, 52122, 51848, 53841, 52279, 55880, 50834, 55669, 70160, 66981, 51282, 51255, 51265, 51255, 51848, 53841, 52279, 70160, 52944, 51083, 51112, 51195, 59702, 52954, 56295, 51068, 55880, 52524, 51282, 55428, 51265, 55428, 50804, 70160, 50857, 54321, 52954, 52417, 51848, 54047, 52954, 56579, 51763, 56082, 51083, 53363, 51482, 56082, 51195, 53363, 50801, 54736, 65006, 55880, 55079, 51769, 50859, 52177, 51068, 58295, 55133, 64553, 50823, 57707, 50823, 50767, 50292, 50823, 50767, 50287, 50887, 50767, 50289, 50384, 53221, 58129, 51068, 58295, 53785, 57707, 50817, 64553, 50949, 50767, 50292, 50817, 50767, 50287, 67196, 54773, 64553, 50823, 50767, 50292, 50823, 57707, 50823, 50767, 50287, 51045, 51289, 51238, 50444, 51068, 58295, 53851, 64553, 50860, 50767, 50292, 50860, 50767, 50287, 51138, 57707, 50823, 65888, 56327, 77986, 59682, 51525, 59806, 52193, 51443, 69306, 59366, 57521, 51401, 51692, 55952, 51368, 51692, 51848, 53841, 52279, 57639, 53104, 50588, 55880, 50828, 55669, 52954, 51051, 50417, 51282, 50901, 55952, 51265, 50378, 53635, 53841, 52279, 53213, 53212, 50922, 55470, 51083, 51351, 50927, 50817, 51195, 51351, 51068, 55880, 50857, 51302, 63115, 56789, 51282, 51003, 57951, 51265, 58379, 52954, 53705, 50927, 51300, 51068, 55880, 57869, 52473, 51562, 51990, 51562, 50804, 57462, 54431, 51068, 55880, 61173, 51282, 51255, 51265, 51003, 51848, 53841, 56701, 57388, 55434, 53212, 50922, 63491, 51083, 51003, 51195, 51003, 51068, 55880, 50857, 51382, 70160, 70596, 51282, 51003, 51265, 53966, 55880, 54232, 51443, 51812, 55864, 61545, 51616, 51655, 50927, 66394, 51655, 51848, 53841, 56606, 55880, 50857, 55669, 59345, 76705, 51118, 58791, 50803, 51223, 52406, 50564, 53841, 52279, 55880, 55772, 51083, 51945, 51195, 51945, 50804, 71193, 56295, 50927, 51928, 55864, 52524, 51282, 51933, 51265, 51933, 53212, 51398, 61036, 50964, 51779, 70160, 53998, 51118, 51896, 50927, 51009, 51223, 51896, 51068, 55880, 50941, 52594, 63115, 52600, 51068, 55880, 65246, 51848, 53841, 52279, 70160, 52986, 50804, 52954, 70853, 51068, 55880, 71572, 70160, 70185, 51068, 52954, 55370, 53344, 53972, 55880, 61736, 51401, 51655, 78807, 51368, 51655, 51848, 53841, 52279, 55864, 50857, 55669, 57462, 70261, 51595, 50833, 78807, 51545, 53376, 50564, 53841, 51779, 70160, 53023, 51083, 51894, 51195, 51894, 50804, 71193, 58116, 51443, 51928, 55864, 53901, 51282, 52266, 51265, 52266, 50804, 61452, 51524, 50429, 52936, 51779, 52030, 51595, 51358, 51443, 51300, 51545, 51358, 51068, 58724, 50941, 52594, 54349, 54431, 51068, 55880, 61173, 51848, 53841, 51779, 57462, 50857, 54141, 59751, 57298, 51068, 55880, 50855, 51382, 70160, 50864, 53061, 56821, 54199, 52936, 53972, 55880, 56551, 52473, 51353, 61262, 50802, 51990, 51353, 51848, 53841, 51779, 55880, 50813, 55669, 55880, 62399, 51282, 51255, 61262, 50802, 51265, 51255, 51848, 53841, 51779, 59345, 54878, 51083, 51112, 51195, 59702, 52954, 57559, 61262, 51928, 55864, 54156, 51282, 51692, 51265, 52069, 50804, 70160, 56789, 52936, 51779, 52954, 54215, 51763, 51790, 51083, 51692, 61262, 50817, 50927, 51407, 51482, 51790, 51195, 51692, 51068, 55880, 50864, 52594, 59345, 53894, 51068, 55880, 57917, 51848, 53841, 51779, 63115, 50855, 54141, 52954, 57291, 51068, 55624, 50857, 51382, 55880, 57186, 51068, 52954, 52881 ]

[ 0, 250, 765, 8, 33928, 5175, 3495, 37903, 6, 4246, 41, 3459, 9590, 6, 21072, 6, 10170, 1499, 6, 3459, 8669, 6, 8, 21040, 2426, 6, 70, 447, 561, 7, 1045, 10, 33558, 8, 20425, 6711, 6, 19, 10, 7212, 20889, 9, 12730, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 6, 278, 11, 5, 762, 9, 274, 538, 6, 8, 21437, 10, 33215, 13931, 9, 230, 401, 6, 211, 6, 272, 6, 274, 6, 8, 381, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50415, 51704, 53734, 70146, 50943, 50421, 52241, 54984, 74083, 51507, 53734, 56956, 72263, 50914, 50433, 52607, 55879, 66326, 51632, 53734, 58630, 50807, 50445, 53749, 54250, 60720, 51598, 54780, 53305, 68760, 50940, 50457, 53973, 54984, 50924, 51601, 51704, 54273, 55859, 50940, 50421, 52241, 56189, 61156, 52237, 51575, 62567, 53305, 50807, 50433, 52576, 56189, 79610, 51785, 54273, 63325, 50921, 50445, 51875, 54250, 60720, 53723, 52420, 70305, 70504, 50921, 50457, 51598, 56189, 50938, 51601, 51507, 54273, 63677, 51033, 50421, 52607, 56189, 74083, 51632, 54581, 70504, 70146, 50807, 50433, 53749, 54984, 66326, 51860, 54065, 67242, 51048, 50445, 53621, 54984, 60720, 51507, 55855, 52496, 63325, 51014, 50457, 52607, 54250, 50938, 51601, 51507, 56795, 63677, 50940, 50421, 52607, 54984, 74083, 51860, 56795, 63325, 62567, 51157, 50433, 53621, 54250, 61187, 51632, 54273, 55859, 50940, 50445, 53749, 54984, 60720, 51875, 54780, 53305, 68760, 51033, 50457, 54224, 54984, 50849, 51601, 51704, 56702, 63677, 50921, 50421, 51262, 50930, 51659, 51998, 52241, 56189, 50805, 50424, 51262, 64855, 53723, 54780, 52959, 58768, 51048, 50430, 51262, 62725, 51598, 56189, 79610, 51704, 56702, 63677, 51033, 50445, 51436, 50840, 52241, 54984, 60720, 51195, 50833, 51704, 54581, 70504, 58630, 51157, 50454, 51262, 76336, 52241, 56189, 50873, 50460, 51262, 50930, 51601, 68216, 51704, 56702, 59961, 51033, 50418, 51262, 70038, 51250, 50855, 52241, 54250, 50805, 50424, 51262, 60329, 51632, 56702, 55560, 52959, 51014, 50433, 53749, 54984, 50879, 50436, 51262, 59360, 51507, 51575, 61468, 51159, 50442, 51262, 64684, 65033, 52607, 54250, 67070, 51262, 50808, 51704, 56795, 54881, 56764, 50807, 50454, 51250, 62037, 52241, 54984, 50795, 51601, 77589, 51507, 57169, 52959, 51014, 50418, 51195, 62906, 51195, 50854, 52607, 56189, 50805, 50424, 51195, 60329, 51860, 55020, 72263, 63325, 50952, 50433, 67250, 53621, 54984, 50795, 50436, 65033, 50439, 51632, 56795, 63325, 50940, 50442, 51195, 62885, 51223, 50808, 53749, 55121, 72065, 51195, 50849, 51875, 56702, 54881, 62567, 51159, 50457, 68216, 54224, 54984, 50865, 51601, 51195, 50880, 51873, 50967, 51666, 51095, 51531, 51095, 52498, 51095, 51507, 52964, 67242, 51073, 50421, 70909, 52607, 56189, 50879, 50424, 51195, 50880, 51873, 50889, 52498, 50914, 51531, 51191, 51666, 51013, 50427, 51507, 56795, 58668, 59348, 51014, 50430, 51195, 62725, 52607, 54250, 50879, 50436, 51195, 67166, 51507, 53734, 70146, 50889, 50442, 51195, 70577, 51195, 50840, 51873, 50924, 52498, 50795, 51531, 50879, 51666, 50849, 52607, 55879, 51626, 51021, 50451, 51507, 56795, 70504, 51033, 50454, 51195, 50930, 51666, 51110, 51873, 51178, 51531, 51095, 52498, 57439, 50975, 50457, 52607, 54250, 50865, 51601, 51262, 50810, 51704, 51575, 58630, 50914, 51206, 59720, 51262, 70038, 51262, 50833, 51994, 50967, 53342, 51095, 52498, 51110, 51988, 51095, 52241, 56189, 79818, 51262, 59953, 51507, 57169, 55560, 63677, 68418, 53342, 50836, 51988, 50812, 52498, 50809, 51994, 59093, 61470, 52607, 56189, 50805, 50436, 51262, 63539, 53342, 50967, 52498, 51095, 51994, 50967, 51988, 51215, 51632, 53734, 58630, 51048, 50442, 51262, 67356, 51195, 50808, 53749, 56189, 50849, 50448, 52498, 51091, 51994, 51191, 53342, 51204, 51988, 51091, 50451, 51262, 50805, 51598, 57169, 68760, 58063, 51157, 50457, 69924, 53973, 54984, 50917, 51601, 70598, 51704, 56795, 59348, 51033, 50418, 51262, 65643, 68216, 53342, 51110, 52498, 51110, 51994, 50967, 51988, 51215, 52241, 55879, 50805, 50424, 51262, 59953, 53723, 54273, 52959, 62567, 51048, 50430, 52498, 50887, 53342, 50809, 51994, 50840, 51988, 63937, 77394, 51598, 54250, 50873, 50436, 51262, 66905, 53342, 50967, 51994, 50967, 51988, 51095, 52498, 51095, 51704, 55855, 63677, 50940, 50442, 51262, 59070, 52241, 55121, 50795, 50448, 51988, 51191, 52498, 51294, 51994, 51204, 53342, 51191, 50451, 51262, 50809, 51704, 54780, 68760, 67242, 50889, 50454, 51262, 62474, 52241, 56189, 50805, 51601, 80158, 51507, 54273, 63325, 50940, 50418, 51195, 60392, 74598, 53653, 51110, 53342, 51095, 52498, 50967, 51873, 51095, 52607, 54984, 79818, 51195, 60329, 51704, 53734, 56764, 65221, 50914, 50430, 53653, 50809, 51873, 50808, 53342, 50855, 52498, 59093, 67250, 52241, 56189, 50879, 50436, 51195, 59360, 53342, 51095, 51873, 51095, 53653, 50967, 52498, 51095, 52237, 57169, 63677, 77561, 51195, 67356, 52576, 54984, 50795, 50448, 52498, 51241, 53653, 51204, 53342, 51091, 51873, 51091, 50451, 51195, 50808, 51785, 56795, 55859, 56764, 50889, 50454, 51195, 59697, 51875, 54984, 50805, 51601, 80158, 51507, 54065, 70146, 50914, 50418, 70909, 51666, 50809, 52498, 50809, 51873, 50887, 51531, 64729, 77589, 52607, 56189, 79818, 51195, 64502, 51873, 51110, 51666, 51110, 51531, 51110, 52498, 50967, 51507, 53734, 56956, 57130, 50889, 50433, 72650, 52607, 56034, 50879, 50436, 75493, 52498, 50807, 51531, 51204, 51873, 51294, 51666, 73125, 51507, 56795, 54881, 50940, 50442, 51195, 59070, 75493, 52607, 54984, 51626, 50936, 50451, 51195, 50805, 52498, 51095, 51666, 51095, 51531, 51110, 51873, 50967, 51507, 53734, 58630, 51157, 55350, 51354, 50457, 52607, 55206, 50938, 51601, 54990, 51151, 52758, 51313, 54990, 51293, 53141, 51151, 51262, 50833, 51704, 56702, 51048, 51206, 51044, 70333, 51262, 52938, 50962, 50421, 71059, 51988, 51095, 53342, 50967, 51994, 51095, 52498, 51110, 52241, 56189, 50879, 50424, 51262, 59749, 51507, 54273, 58006, 59961, 59965, 51994, 50809, 52498, 50887, 51988, 50809, 53342, 52217, 68487, 79641, 52607, 54984, 50849, 50436, 51262, 63025, 51994, 51095, 52498, 51178, 53342, 51095, 51988, 51110, 51632, 56795, 63325, 67760, 51262, 51582, 70378, 79526, 53749, 54250, 50849, 50448, 53342, 51204, 52498, 51204, 51988, 51091, 51994, 51204, 51553, 72634, 51262, 50938, 51598, 71967, 65398, 71441, 55859, 50890, 56403, 74717, 51250, 50857, 53973, 55121, 50865, 51289, 50948, 51601, 54990, 51359, 53141, 51151, 52758, 51293, 54990, 51353, 70598, 51704, 57169, 52959, 80042, 51262, 52938, 70086, 68216, 51994, 51110, 51988, 51178, 53342, 51095, 52498, 51095, 52241, 56189, 50849, 50424, 51195, 64502, 51632, 54065, 54452, 56946, 51073, 50430, 51988, 50836, 52498, 50836, 51994, 50836, 53342, 52217, 67725, 77589, 53749, 55121, 50805, 50436, 61470, 50439, 52498, 51215, 53342, 51215, 51988, 50967, 51994, 51095, 51507, 54065, 54452, 51048, 50442, 51436, 51373, 70577, 74598, 52607, 54984, 50805, 50448, 51994, 51091, 52498, 51204, 51988, 51294, 53342, 51191, 51553, 72634, 72650, 51704, 56795, 68760, 50386, 53120, 56155, 51157, 50454, 51262, 53340, 67758, 52241, 56189, 60020, 50936, 50460, 61470, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 3459, 9590, 6, 8, 326, 5638, 18026, 4, 20, 2125, 16, 11, 274, 538, 6, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 163, 428, 6, 230, 406, 6, 1918, 6, 211, 119, 6, 8, 272, 119, 3639, 7, 5, 2214, 18, 19448, 8, 1011, 625, 12, 3341, 5466, 6, 7630, 14805, 10, 25306, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 57333, 66079, 51544, 80022, 50818, 52320, 56904, 61090, 50890, 78415, 50882, 57333, 53038, 51103, 52576, 51091, 52021, 51312, 51164, 50981, 51037, 51097, 61542, 50872, 51148, 50939, 51328, 57339, 51041, 65597, 64008, 50867, 61090, 63630, 50939, 51677, 50422, 52112, 57389, 61823, 50700, 50345, 52122, 50426, 51198, 51116, 51144, 50924, 51308, 51290, 51164, 51742, 51037, 51448, 50848, 51677, 52021, 51397, 50791, 52893, 56516, 67454, 52576, 51239, 53669, 52995, 57514, 51876, 51127, 57016, 52950, 50629, 51632, 50983, 50872, 51080, 53026, 53584, 57000, 52021, 50827, 51762, 50449, 51037, 72380, 51308, 51048, 51198, 51095, 76011, 52021, 51337, 50856, 51833, 60427, 67454, 51164, 50810, 52021, 56439, 51464, 57243, 52021, 50995, 69130, 60187, 50880, 57389, 50940, 79921, 51077, 52343, 51091, 51037, 51097, 51751, 51097, 50847, 51199, 50939, 78145, 54376, 51239, 65597, 59613, 66089, 60187, 53932, 59470, 51060, 50422, 51842, 50425, 52021, 51199, 51037, 51242, 51751, 51109, 68279, 50847, 68428, 51099, 50865, 51561, 51124, 51308, 50991, 50939, 51203, 50856, 51406, 65109, 51037, 50941, 59800, 56080, 67767, 52343, 53345, 53390, 52223, 57667, 51332, 51108, 59449, 54014, 51144, 51194, 51153, 51121, 51119, 51121, 51876, 51191, 51632, 50918, 51164, 51253, 50946, 51253, 50885, 51627, 50872, 51749, 50850, 54874, 53390, 79516, 57016, 62738, 60072, 64300, 60187, 58638, 51956, 50449, 51144, 51233, 51119, 51194, 51153, 51194, 51164, 51411, 51332, 51534, 50946, 51411, 59470, 66070, 50850, 51363, 50791, 53498, 57735, 51876, 77930, 51895, 50919, 53735, 57335, 53038, 51486, 51164, 51330, 51037, 51097, 56103, 52237, 56378, 50981, 69427, 50939, 51277, 65986, 53390, 50895, 61090, 50930, 78415, 59722, 64008, 61158, 61090, 62846, 50939, 50959, 57389, 50937, 50422, 51144, 51108, 58139, 51308, 51417, 51275, 51562, 52021, 51312, 51164, 51253, 78889, 50848, 51145, 68100, 50939, 51422, 67178, 56748, 51876, 51003, 50434, 52237, 53243, 51406, 53237, 57413, 51164, 51535, 51037, 51097, 52021, 50981, 57016, 53116, 50628, 51144, 51178, 52576, 51112, 50872, 51627, 57339, 51187, 58655, 60187, 62236, 59613, 64661, 51956, 50449, 52021, 51203, 51037, 51480, 50852, 52396, 53038, 50866, 51308, 50917, 51198, 50897, 73647, 52237, 57172, 51480, 74870, 59449, 58305, 59800, 71929, 52261, 50457, 61891, 57450, 52343, 53433, 51916, 53617, 57335, 51332, 50987, 51164, 50866, 64178, 61395, 64803, 55845, 50917, 57333, 51876, 50925, 51144, 50897, 79408, 79305, 51632, 50897, 64646, 50791, 53498, 53669, 60170, 50801, 59095, 51154, 50932, 50425, 77456, 51164, 51097, 64583, 51743, 50981, 52430, 51400, 51883, 54869, 51978, 53379, 52785, 51013, 51280, 51121, 51144, 51060, 51119, 51095, 51632, 54891, 51047, 51332, 51244, 50850, 61035, 54694, 51978, 51998, 50434, 51632, 53097, 58855, 52402, 51003, 52137, 51377, 51638, 50932, 51088, 54498, 50628, 53366, 51159, 51561, 51177, 51099, 51043, 51308, 51194, 51598, 51060, 51164, 51109, 50946, 51253, 50885, 51477, 76064, 50856, 61312, 51598, 52423, 58501, 52430, 51043, 51299, 51806, 51113, 51709, 50450, 52537, 51346, 51144, 51194, 51119, 51124, 51153, 51255, 51875, 51060, 51332, 51233, 51164, 51101, 50946, 51212, 74649, 51743, 56923, 57430, 56478, 62371, 51875, 53097, 50828, 51050, 53106, 57333, 52228, 50879, 53038, 51127, 52576, 51091, 52021, 51806, 51164, 51312, 51037, 51449, 50848, 51244, 50939, 51148, 50872, 51080, 51165, 51449, 51107, 51243, 51154, 52829, 57372, 51135, 69147, 56612, 50420, 53628, 50917, 55429, 51004, 50997, 52254, 50425, 51164, 51253, 50426, 51144, 50974, 51308, 50845, 51275, 51305, 50290, 51047, 51718, 50919, 61251, 56478, 65053, 51275, 50978, 51144, 51006, 51308, 50959, 52576, 55744, 71073, 50841, 51050, 53106, 50437, 52228, 51554, 50297, 51244, 50848, 51244, 50872, 51244, 50939, 64488, 50628, 52785, 51749, 51632, 50983, 53552, 55942, 71415, 56612, 50445, 52394, 68785, 51842, 50900, 53106, 50449, 52228, 58460, 51308, 51101, 51275, 51212, 51144, 51328, 52021, 51056, 52574, 50919, 67232, 56612, 50453, 52608, 78767, 51978, 51116, 54820, 52748, 50891, 50956, 53106, 50461, 51395, 51748, 51093, 51748, 56103, 51964, 51562, 52241, 60798, 51244, 51164, 51199, 74435, 51332, 51422, 50979, 51148, 50909, 51310, 51113, 51449, 50856, 53704, 51239, 62296, 52722, 50422, 52008, 50425, 51164, 51145, 50850, 51939, 50426, 51144, 51058, 51119, 50942, 51639, 50937, 51153, 65056, 51916, 56748, 51639, 51058, 50909, 51419, 50434, 51144, 51142, 51119, 51008, 51153, 51008, 52241, 51187, 55401, 58694, 52785, 51417, 64583, 50979, 51749, 50438, 50628, 52608, 50936, 51632, 50807, 51895, 50919, 53790, 50841, 50956, 56612, 50444, 52228, 50977, 50446, 52008, 50899, 53106, 50448, 52394, 51095, 50449, 51332, 57554, 51119, 51203, 51639, 51255, 51144, 51309, 51153, 51363, 50885, 51775, 51164, 51412, 50909, 59384, 51179, 50884, 50900, 56612, 50456, 53628, 50925, 50457, 50909, 63321, 51632, 53406, 52748, 62010, 50841, 50997, 53106, 50460, 51107, 51671, 51165, 51243, 50461, 52228, 51060, 56103, 53038, 51417, 52237, 51091, 51164, 51253, 51037, 51314, 75548, 50872, 51199, 50939, 51253, 50856, 54405, 51044, 79836, 56612, 50420, 51978, 51358, 50422, 51471, 50871, 55044, 50425, 51164, 58187, 51144, 51006, 51308, 50866, 51275, 55257, 51939, 50872, 51080, 50939, 51183, 50856, 51044, 59871, 51275, 50987, 51144, 50905, 51308, 50866, 52237, 50828, 52021, 50941, 54958, 50985, 58414, 51164, 51448, 52021, 51749, 51037, 51445, 50438, 50629, 52785, 51562, 51632, 51091, 61693, 51467, 50825, 64008, 50836, 78415, 75018, 61090, 63178, 57389, 50857, 55894, 53421, 51144, 51194, 51308, 50967, 51275, 51178, 70177, 50939, 51267, 52574, 50919, 50883, 59800, 50925, 50453, 52228, 50937, 59613, 71820, 50899, 53106, 50456, 52394, 62474, 51632, 50812, 60187, 63321, 51164, 51679, 52021, 51080, 60274, 51129, 50900, 53106, 50461, 52228, 50910, 50848, 51448, 50872, 51535, 50939, 50915, 61891, 51470, 56103, 53038, 51203, 52237, 78576, 54285, 51187, 63279, 53106, 50416, 52394, 64754, 50900, 53106, 50420, 53628, 51241, 50422, 52008, 50997, 59125, 50425, 51164, 51480, 58389, 51056, 57406, 68106, 51144, 51110, 51308, 50991, 51275, 51158, 53038, 51048, 52237, 51048, 50939, 51255, 51165, 51097, 51107, 50932, 52315, 51775, 51596, 71782, 53498, 50895, 55703, 62010, 58855, 51164, 51242, 50885, 51423, 50872, 51423, 50992, 51534, 51093, 51108, 51375, 61417, 50629, 51964, 51112, 51561, 51060, 51512, 51111, 51153, 51100, 51704, 51048, 50909, 51221, 51332, 51212, 52161, 51576, 75275, 50841, 57312, 51194, 57751, 51203, 50439, 51752, 51709, 63743, 60402, 54958, 50985, 60794, 51596, 51333, 50449, 52176, 51346, 52021, 52034, 51164, 51411, 51037, 51412, 50848, 51412, 51165, 51576, 51107, 51172, 51606, 61637, 51144, 51101, 51275, 51100, 51308, 51177, 51507, 51048, 50992, 51412, 50939, 63238, 52893, 50846, 57406, 51110, 56737, 51110, 50458, 54958, 50985, 58660, 51978, 53106, 52746, 51343, 53755, 51036, 51395, 52829, 52161, 52916, 51565, 52431, 57333, 52343, 50983, 78889, 50979, 51244, 50939, 51749, 51298, 50981, 65704, 51751, 51312, 51165, 51243, 51088, 53142, 61664, 54405, 50818, 56770, 51377, 57751, 51203, 50422, 74467, 51978, 53379, 50426, 51099, 50845, 51308, 50805, 51639, 69964, 51148, 51751, 51562, 51298, 51177, 73303, 50856 ]