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, 765, 37903, 9, 20425, 3495, 930, 11, 381, 3694, 6, 4246, 10, 881, 16739, 9, 163, 406, 6, 230, 6, 211, 119, 1176, 406, 6, 3676, 6, 8, 272, 119, 1176, 406, 40286, 6, 278, 11, 41, 18186, 195, 73, 398, 86, 6543, 23, 10, 2635, 1614, 1073, 1020, 20889, 6, 7630, 14805, 10, 3344, 9, 15352, 30054, 6, 1372, 6, 8, 2829, 2933, 6711, 29, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50902, 56624, 50968, 53066, 51062, 54347, 51147, 52654, 51220, 51101, 50435, 50999, 56532, 51146, 60672, 51399, 53524, 56437, 51220, 51101, 50447, 50877, 52843, 50931, 56366, 70806, 51062, 52863, 50968, 51101, 50951, 51101, 52177, 59856, 51147, 54347, 60300, 51430, 52654, 51120, 50810, 50931, 76920, 60713, 51315, 52658, 50900, 50810, 60300, 51062, 54112, 51176, 50810, 61196, 51220, 52729, 51086, 51101, 50968, 51101, 50999, 51101, 50447, 51027, 65140, 77498, 64225, 51315, 50810, 59856, 50951, 52863, 51050, 51025, 50968, 51025, 50999, 51025, 52591, 51027, 51101, 50931, 51101, 51062, 51101, 50429, 51026, 51665, 50322, 51665, 50327, 57815, 51315, 50810, 59856, 50951, 52729, 51279, 51134, 76417, 50968, 51134, 50456, 51279, 73612, 51134, 50951, 54678, 51315, 50810, 68829, 52323, 51279, 51665, 50333, 55085, 51086, 51665, 50329, 54278, 51085, 51665, 50332, 51134, 71341, 54014, 50900, 68839, 73779, 51279, 76920, 50866, 52323, 51315, 55085, 51120, 62245, 51134, 51062, 54278, 51360, 62245, 51134, 51399, 51134, 50432, 51050, 54014, 51360, 55040, 50871, 62839, 51134, 52128, 50866, 52323, 50956, 51665, 50334, 50866, 53502, 51665, 50333, 50866, 53645, 67181, 51025, 51787, 66312, 51040, 54014, 51050, 62245, 60182, 51360, 50866, 52323, 51050, 78054, 51115, 51787, 50866, 53502, 51665, 50336, 54278, 51050, 77498, 53961, 51085, 51665, 50331, 54014, 51050, 59437, 51115, 50999, 51025, 55513, 50866, 52323, 50916, 65140, 51025, 55902, 50866, 53523, 68839, 51115, 50999, 59102, 51050, 54014, 50916, 76920, 60182, 51027, 50866, 52323, 50871, 62245, 51025, 51430, 51025, 56945, 54278, 51026, 53961, 51027, 54014, 50871, 55040, 51040, 50866, 51540, 50861, 61434, 51134, 57340, 54278, 50931, 53961, 50916, 78054, 54014, 50916, 69215, 51134, 50951, 55040, 50956, 66986, 54356, 50899, 51665, 50333, 54752, 50900, 65524, 51665, 50329, 50866, 50462, 51120, 51134, 50931, 51134, 51430, 51134, 50480, 51120, 65140, 76920, 50866, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 17627, 17274, 5175, 8, 3495, 2214, 6, 278, 11, 163, 3694, 19, 10, 112, 73, 306, 86, 6543, 6, 1931, 21683, 11098, 8, 10563, 4, 20, 3741, 27374, 594, 8, 38668, 2236, 483, 5, 33301, 6, 2800, 30, 3459, 8669, 6, 9590, 6, 8, 10, 11577, 20535, 2810, 4, 590, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 6, 5, 1349, 1575, 10, 33215, 16739, 9, 163, 119, 6, 83, 6, 272, 6, 8, 83, 401, 6, 2351, 41, 11653, 8, 15352, 30054, 5466, 1969, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50631, 50420, 51587, 53910, 51587, 50813, 50799, 51924, 53840, 55085, 62133, 50866, 52433, 51824, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 51470, 50798, 53961, 54981, 50866, 52156, 51470, 52004, 50866, 51587, 54350, 51587, 52781, 53074, 51101, 51565, 52063, 51924, 59486, 55040, 51587, 54417, 53385, 50866, 51789, 51470, 51587, 52800, 50798, 64225, 53385, 50813, 51789, 59593, 53074, 50866, 51565, 51470, 51390, 71124, 54655, 51390, 71124, 50813, 50799, 51924, 53840, 55085, 62133, 50866, 52433, 51470, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 51470, 50798, 53961, 54981, 50866, 52156, 51470, 52004, 50866, 51587, 54350, 51587, 52781, 64974, 51101, 52367, 52063, 51924, 59486, 55040, 51587, 54417, 50658, 50337, 50866, 53297, 51470, 51587, 52800, 50798, 64225, 53385, 50813, 51789, 55835, 53074, 50866, 51565, 51376, 51390, 50866, 51587, 54655, 51587, 50813, 50799, 51924, 53840, 55085, 62133, 50866, 52433, 51376, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 51376, 50798, 53961, 54981, 50866, 52156, 51376, 52004, 50866, 51587, 54350, 51587, 52781, 53074, 51101, 51565, 51884, 51924, 59486, 55040, 51587, 54417, 53385, 50866, 51789, 51376, 51587, 52800, 54338, 59401, 64225, 53385, 50813, 51789, 55835, 53074, 50866, 51565, 51376, 51390, 71124, 54655, 51390, 71124, 50813, 50799, 51924, 53840, 55085, 62133, 50866, 52433, 51376, 51587, 53910, 52294, 50813, 51924, 71124, 52524, 55358, 50866, 51886, 51376, 50798, 53961, 54981, 50866, 51854, 50866, 52156, 51376, 52004, 50866, 51587, 54350, 51587, 52781, 64974, 51101, 51288, 50866, 52367, 51753, 51924, 59486, 55040, 51211, 51025, 51587, 54417, 50658, 50337, 50866, 53297, 51254, 51587, 52800, 50798, 64225, 53385, 50813, 51789, 55293, 53074, 76294, 51565, 51254, 51390, 50866, 51587, 54655, 51587, 50813, 50799, 51219, 53295, 51924, 50866, 53621, 53295, 50798, 55085, 62133, 50866, 52433, 51254, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 73715, 53961, 54981, 50866, 52156, 51254, 52004, 50866, 51587, 54350, 51587, 52781, 53074, 51101, 51565, 51753, 51924, 59486, 55040, 51587, 54417, 53385, 50866, 51789, 51254, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 55293, 53074, 50866, 51565, 51254, 51390, 71124, 54655, 51390, 71124, 50813, 50799, 51924, 53840, 55085, 62133, 50866, 52433, 51174, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 68870, 53961, 54981, 50866, 52156, 51174, 52004, 50866, 51587, 54350, 51587, 52781, 64974, 51101, 52367, 51481, 51924, 59486, 55040, 51587, 54417, 50658, 50337, 50866, 53297, 51174, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 55735, 53074, 50866, 51565, 51174, 51390, 50866, 51587, 54655, 51587, 50813, 50799, 51143, 51422, 51924, 50866, 52241, 71382, 55085, 62133, 50866, 52433, 51174, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 68870, 53961, 54981, 50866, 52156, 51174, 52004, 50866, 51587, 54350, 51587, 52781, 53074, 51101, 51565, 51481, 51924, 59486, 55040, 51587, 54417, 53385, 50866, 51789, 51006, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 54232, 53074, 50866, 51565, 51006, 51390, 71124, 54655, 51390, 71124, 50813, 72354, 51422, 51924, 50866, 52607, 71382, 55085, 62133, 50866, 52433, 51006, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 62314, 53961, 54981, 50866, 52156, 51006, 52004, 50866, 51587, 54350, 51587, 52781, 64974, 51101, 52367, 51277, 51924, 59486, 55040, 51587, 54417, 50658, 50337, 50866, 53297, 51006, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 54232, 53074, 50866, 51565, 51006, 51390, 50866, 51587, 50813, 52198, 71124, 50813, 50799, 51211, 51025, 51854, 51025, 52294, 51025, 51924, 50866, 53621, 59486, 55085, 62133, 50866, 52433, 50866, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51529, 51025, 51288, 51025, 51622, 51025, 51886, 50866, 52607, 57765, 53961, 54981, 50866, 52156, 50866, 52004, 50866, 51587, 54350, 51587, 52781, 53074, 51101, 51211, 51025, 51854, 51025, 52294, 51025, 51565, 51101, 51924, 51025, 53621, 59401, 55040, 51587, 54417, 53385, 50866, 51789, 50866, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 53211, 53074, 50866, 51565, 50866, 51390, 71124, 54655, 51390, 71124, 50813, 50799, 51924, 50866, 52607, 71382, 55085, 62133, 50866, 52433, 50866, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 54420, 53961, 54981, 50866, 52156, 50866, 52004, 50866, 51587, 54350, 51587, 52781, 64974, 51101, 52367, 51101, 51924, 59486, 55040, 51587, 54417, 50658, 50337, 50866, 53297, 50866, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 53211, 53074, 50866, 51565, 50866, 51390, 50866, 51587, 54655, 51587, 50813, 50799, 51219, 51025, 51211, 51025, 51634, 51025, 51924, 50866, 52241, 59486, 55085, 62133, 50866, 52433, 50866, 51587, 53910, 51924, 71124, 52524, 55358, 68746, 51025, 51529, 51025, 51854, 51025, 51886, 50866, 53204, 57765, 53961, 54981, 50866, 52156, 50866, 52004, 50866, 51587, 54350, 51587, 52781, 53074, 51101, 51219, 51025, 51211, 51025, 51634, 51025, 51565, 51101, 51924, 51025, 52241, 59401, 55040, 51587, 54417, 53385, 50866, 51789, 50866, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 53211, 53074, 50866, 51565, 50866, 51390, 71124, 54655, 51390, 71124, 50813, 50799, 51529, 51115, 51288, 51115, 51622, 51115, 51924, 50866, 52607, 59401, 55085, 62133, 50866, 52433, 50866, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 54420, 53961, 54981, 50866, 52156, 50866, 52004, 50866, 51587, 54350, 51587, 52781, 64974, 50866, 52367, 53840, 51025, 50441, 55227, 50813, 59665, 51322, 50813, 52607, 53524, 56165, 66111, 50813, 51366, 50813, 53621, 54417, 60229, 50813, 66566, 51547, 50813, 57003, 52800, 53874, 50813, 51211, 50813, 51209, 50813, 53973, 53352, 51101, 50453, 60229, 50813, 66566, 51547, 50813, 57003, 53211, 55227, 50813, 59665, 51322, 50813, 52607, 54655, 56165, 51397, 51219, 51397, 51366, 51397, 53621, 51397, 50770, 50306, 51397, 74560, 51397, 50804, 50813, 61627, 55532, 51025, 51219, 51025, 51211, 51025, 51634, 51025, 51673, 51025, 51366, 51025, 51209, 51025, 51334, 51025, 52241, 59486, 57765, 51025, 51335, 57554, 55227, 51025, 51529, 51025, 51288, 51025, 51634, 51025, 51886, 51025, 51547, 51025, 51229, 51025, 51334, 51025, 52607, 59486, 57765, 51025, 51335, 51025, 50799, 56547, 51025, 56165, 51151, 53621, 59486, 55085, 51209, 50866, 51590, 50866, 51924, 55377, 50426, 56547, 50866, 53621, 57765, 53961, 56547, 77647, 50866, 51590, 50866, 51924, 55377, 50438, 53621, 61525, 60844, 51209, 50866, 51590, 50866, 51924, 50866, 51180, 59957, 51209, 50813, 51590, 50813, 51924, 50813, 53621, 54356, 56547, 77647, 50813, 51590, 50813, 51924, 53352, 64225, 51209, 50813, 51590, 50813, 51924, 50813, 53621, 53211, 64093, 77647, 50866, 51590, 50866, 51924, 50866, 52607, 55377, 50799, 55693, 51025, 56165, 51151, 53621, 59486, 55085, 51209, 50866, 51590, 50866, 51924, 55377, 50426, 55693, 50866, 53621, 57765, 53961, 55693, 77647, 50866, 51590, 50866, 51924, 55377, 50438, 53621, 61525, 60844, 51209, 50866, 51590, 50866, 51924, 50866, 51180, 59957, 51209, 50813, 51590, 50813, 51924, 50813, 53621, 54356, 55775, 77647, 50813, 51590, 50813, 51924, 53352, 64225, 51209, 50813, 51590, 50813, 51924, 50813, 53621, 53211, 55693, 77647, 50866, 51590, 50866, 51924 ]
[ 0, 713, 14899, 5175, 2214, 6, 30291, 19, 3495, 4785, 6, 22750, 1626, 11098, 8, 33558, 1007, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 5, 2216, 11739, 9, 2003, 38704, 31365, 25999, 6, 486, 118, 9877, 6, 8, 3459, 29589, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 20902, 12447, 1001, 20889, 6, 24, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 272, 6, 211, 6, 8, 230, 119, 1176, 406, 3639, 7, 63, 33928, 8, 15352, 30054, 2868, 6, 442, 24, 10, 1969, 2564, 13, 5, 12298, 1619, 191, 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 ]	[ 57739, 50796, 52534, 50910, 51869, 50978, 51232, 50972, 51099, 50972, 51153, 51212, 51489, 51480, 51403, 51481, 51810, 51481, 53477, 51328, 51915, 50844, 56187, 53197, 51373, 65023, 51869, 50912, 51232, 51123, 51099, 50851, 51403, 50870, 51810, 50941, 53477, 50904, 51368, 50822, 55291, 53881, 73255, 52533, 50987, 51232, 50972, 51099, 50838, 51153, 52059, 51489, 51277, 51403, 51481, 51810, 50827, 53477, 50959, 51726, 50933, 58166, 54384, 51373, 73418, 51810, 50851, 53477, 68163, 51708, 50933, 51232, 51123, 51099, 50827, 51489, 51108, 51403, 50827, 53477, 50851, 51810, 50851, 51265, 50907, 56293, 55234, 54077, 50953, 50942, 51869, 50977, 51232, 51254, 51099, 51074, 51153, 51337, 51403, 50912, 53477, 51423, 51810, 50851, 73579, 55291, 52784, 53111, 50844, 50442, 51403, 50827, 51810, 50984, 50446, 51869, 50955, 51232, 51269, 51099, 50827, 51403, 50907, 51810, 50907, 53477, 50851, 51368, 50874, 55291, 54823, 51019, 50812, 52533, 51254, 51232, 51376, 51099, 51277, 51153, 51309, 51489, 51642, 51403, 50912, 51810, 52063, 53477, 50874, 51726, 50874, 58166, 55182, 51373, 71820, 51403, 52063, 53477, 65241, 50953, 50813, 51708, 50874, 51232, 51022, 51099, 50827, 53477, 50874, 51810, 51022, 51368, 50874, 55291, 54784, 50835, 52534, 50808, 51869, 50978, 51232, 51470, 51099, 51797, 51153, 51212, 51489, 51753, 51403, 51481, 51810, 50851, 53477, 51212, 51915, 50874, 56187, 53835, 55316, 79604, 51810, 65173, 51869, 50844, 51232, 50912, 51153, 50827, 51403, 50870, 51810, 50941, 53477, 50904, 51368, 50822, 55291, 54325, 73255, 52533, 50978, 51232, 51432, 51099, 51884, 51153, 51337, 51489, 51852, 51403, 51481, 51810, 50827, 53477, 50959, 51726, 50874, 58166, 55742, 56619, 50430, 51810, 50851, 53477, 68163, 51708, 50851, 51232, 50827, 51403, 50827, 53477, 50851, 51810, 50851, 51265, 50851, 56293, 54784, 52621, 65344, 51869, 50955, 51232, 51824, 51099, 52048, 51153, 51328, 51489, 51079, 51403, 50912, 53477, 51423, 51810, 50851, 73443, 55291, 52923, 51464, 60696, 51403, 50827, 51810, 50984, 50446, 51869, 50822, 51232, 50912, 51153, 51542, 51403, 50907, 51810, 50907, 53477, 50851, 51368, 50874, 55291, 55514, 51019, 50812, 51708, 50892, 51232, 51074, 51099, 53096, 51489, 51852, 51403, 50912, 51810, 52063, 53477, 50874, 51726, 50851, 58166, 54494, 51559, 65732, 51403, 52063, 53477, 65241, 50953, 50862, 51708, 50827, 51232, 51210, 53477, 50874, 51810, 51022, 51368, 50912, 55291, 63054, 50835, 52534, 50910, 51869, 50978, 51232, 50972, 51099, 50972, 51153, 51212, 51489, 51480, 51403, 51481, 51810, 50851, 53477, 51212, 51915, 50822, 56187, 52784, 51373, 50959, 50418, 51810, 65173, 51869, 50912, 51232, 51123, 51099, 50851, 51403, 50870, 51810, 50941, 53477, 50904, 51368, 50874, 55291, 52580, 73255, 52533, 50955, 51232, 50972, 51099, 50838, 51153, 52059, 51489, 51277, 51403, 51481, 51810, 50827, 53477, 50959, 51726, 50851, 58166, 54384, 51373, 73418, 51810, 50851, 53477, 68163, 51708, 50933, 51232, 51123, 51099, 50827, 51489, 51108, 51403, 50827, 53477, 50851, 51810, 50851, 51265, 50971, 56293, 52923, 54077, 50953, 50942, 51869, 50942, 51232, 51254, 51099, 51074, 51153, 51337, 51403, 50912, 53477, 51423, 51810, 50851, 73579, 55291, 54923, 53111, 50844, 50442, 51403, 50827, 51810, 50984, 50446, 51869, 50955, 51232, 51269, 51099, 50827, 51403, 50907, 51810, 50907, 53477, 50851, 51368, 50822, 55291, 54004, 51019, 50812, 52533, 51142, 51232, 51376, 51099, 51277, 51153, 51309, 51489, 51642, 51403, 50912, 51810, 52063, 53477, 50874, 51726, 51210, 58166, 56758, 51373, 71820, 51403, 52063, 53477, 65241, 50953, 50857, 51708, 50874, 51232, 51022, 51099, 50827, 53477, 50874, 51810, 51022, 51368, 50874, 55291, 56104, 50835, 52534, 50808, 51869, 50978, 51232, 51470, 51099, 51797, 51153, 51212, 51489, 51753, 51403, 51481, 51810, 50851, 53477, 51212, 51915, 50827, 56187, 53948, 55316, 79604, 51810, 65173, 51869, 50844, 51232, 50912, 51153, 50827, 51403, 50870, 51810, 50941, 53477, 50904, 51368, 50822, 55291, 52580, 73255, 52533, 50959, 51232, 51432, 51099, 51884, 51153, 51337, 51489, 51852, 51403, 51481, 51810, 50827, 53477, 50959, 51265, 50827, 58166, 55182, 56619, 50430, 51810, 50851, 53477, 68163, 51708, 50851, 51232, 50827, 51403, 50827, 53477, 50851, 51810, 50851, 51265, 50851, 56293, 56935, 52621, 65344, 51869, 50987, 51232, 51824, 51099, 52048, 51153, 51328, 51489, 51079, 51403, 50912, 53477, 51423, 51810, 50851, 73579, 55291, 52784, 55033, 50844, 50442, 51403, 50827, 51810, 50984, 50446, 51869, 50822, 51232, 50912, 51153, 51542, 51403, 50907, 51810, 50907, 53477, 50851, 51368, 50874, 55291, 61185, 54915, 51019, 50812, 51708, 50955, 51232, 51074, 51099, 53096, 51489, 51852, 51403, 50912, 51810, 52063, 53477, 50874, 51726, 50827, 58166, 55182, 51559, 65732, 51403, 52063, 53477, 56758, 62309, 50953, 50862, 51708, 50827, 51232, 51210, 53477, 50874, 51810, 51022, 51368, 50864, 55291, 54784, 55164, 50837, 50799, 53048, 50911, 75650, 51869, 50978, 51232, 50972, 51099, 50972, 51153, 51212, 51489, 51480, 51092, 50972, 51403, 51166, 53477, 51269, 51915, 50827, 56187, 50376, 52526, 53983, 64039, 53477, 64560, 53048, 50809, 51869, 50912, 51232, 51123, 51099, 50851, 51092, 50907, 53477, 51269, 51726, 55070, 53048, 51160, 73255, 52533, 50955, 51232, 50972, 51099, 50838, 51153, 52059, 51489, 51277, 53477, 51269, 51092, 51376, 51403, 51376, 51810, 51365, 51915, 61185, 51373, 73418, 53477, 63163, 52869, 50980, 51708, 50933, 51232, 51123, 51099, 50827, 51489, 51108, 53477, 50851, 51368, 53970, 54077, 70431, 51869, 50942, 51232, 51254, 51099, 51074, 51153, 51337, 53477, 50907, 51403, 51074, 51265, 56104, 53111, 50844, 50442, 53477, 71095, 52869, 51566, 51869, 50955, 51232, 51269, 51099, 50827, 51092, 50907, 53477, 51269, 51368, 53140, 51011, 50897, 52533, 51254, 51232, 51376, 51099, 51277, 51153, 51309, 51489, 51642, 53477, 51269, 51092, 51824, 51403, 50972, 51810, 51074, 51726, 56485, 51373, 71820, 53477, 50984, 50458, 53048, 50830, 51708, 50874, 51232, 51022, 51099, 50827, 53477, 50907, 51810, 50984, 51368, 54902, 50835, 50799, 53446, 50911, 51443, 50977, 52176, 50978, 51198, 51470, 51099, 51797, 51429, 51212, 51275, 51753, 53706, 51269, 51208, 50972, 51530, 51166, 51482, 53970, 55316, 79604, 53706, 64560, 53446, 50800, 52176, 50844, 51198, 50912, 51429, 50827, 53706, 51269, 51185, 50907, 51482, 52872, 53446, 51175, 51205, 50897, 52533, 50959, 51198, 51432, 51099, 51884, 51429, 51337, 51275, 51852, 53706, 51269, 51208, 51376, 51185, 51376, 51810, 51365, 51726, 55182, 56619, 50430, 53706, 71484, 52869, 51294, 51205, 50833, 52533, 50851, 51198, 50827, 53706, 50851, 51726, 55234, 52621, 65495, 52176, 50987, 51198, 51824, 51099, 52048, 51429, 51328, 51275, 51079, 53706, 51269, 51810, 51166, 51185, 51074, 51482, 53835, 51464, 60696, 53706, 62407, 52176, 50822, 51198, 50912, 51429, 51542, 51185, 50907, 53706, 51269, 51482, 54385, 77943, 52533, 50987, 51198, 51074, 51099, 53096, 51275, 51852, 53706, 51269, 51208, 51824, 51530, 50972, 51810, 51074, 51726, 55591, 51559, 65732, 53706, 74879, 52176, 50827, 51198, 51210, 53706, 50912, 51810, 50984, 51482, 54902, 50835, 50799, 53048, 50911, 72541, 51869, 50978, 51232, 50972, 51099, 50972, 51153, 51212, 51489, 51480, 51092, 50972, 51403, 51166, 53477 ]
[ 0, 4688, 9066, 8, 814, 12, 21330, 3152, 8, 5175, 2214, 11, 230, 538, 6, 4246, 10, 2933, 8, 20425, 5466, 19, 15352, 30054, 4785, 4, 85, 11498, 10, 23667, 27841, 139, 20889, 8, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 274, 119, 1176, 406, 8, 3676, 1176, 406, 3639, 7, 5, 2214, 18, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 77629, 51577, 51104, 56191, 50801, 53113, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 50799, 51577, 51104, 56191, 50801, 53113, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 50799, 51577, 51104, 56191, 50801, 53113, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 50799, 51577, 51104, 56191, 50801, 53113, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 52322, 51085, 53558, 54250, 56050, 51085, 53558, 53247, 51085, 53558, 54787, 51085, 53558, 53153, 51085, 53558, 54250, 55982, 51085, 53558, 52935, 51085, 53558, 54863, 51085, 53558, 50821, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 53558, 53072, 59908, 51234, 52935, 51085, 54273, 50806, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 53558, 53072, 59908, 51234, 52935, 51085, 54273, 50806, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 52322, 51085, 53558, 54250, 56050, 51085, 53558, 53247, 51085, 53558, 54787, 50801, 53153, 51085, 53558, 54250, 55982, 51085, 53558, 52935, 51085, 53558, 54863, 50801, 50821, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 53558, 53072, 59908, 51234, 52935, 51085, 54273, 50806, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 53558, 53072, 59908, 51234, 52935, 51085, 54273, 50806, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 52322, 51085, 53558, 54250, 56050, 51085, 53558, 53247, 51085, 53558, 54787, 50801, 53153, 51085, 53558, 54250, 50821, 76956, 50806, 51279, 50806, 51315, 50806, 51577, 51104, 56191, 50801, 53113, 53667, 50806, 51279, 50806, 51315, 54273, 54007, 50801, 52422, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 50852, 52692, 53667, 50806, 51279, 50806, 51315, 54273, 52610, 53492, 50806, 51234, 50806, 51050, 71681, 52931, 53667, 50806, 51279, 50806, 51315, 54273, 50806, 57752, 52774, 53667, 50806, 51279, 50806, 51315, 54273, 52247, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 50852, 52692, 53667, 50806, 51279, 50806, 51315, 54273, 52610, 51234, 50821, 51050, 50821, 53492, 71681, 59908, 51234, 50821, 51050, 52935, 52206, 72676, 67899, 54273, 50806, 76956, 50806, 51279, 50806, 51315, 50806, 51577, 51104, 56191, 50801, 53113, 53667, 50806, 51279, 50806, 51315, 54273, 54007, 50801, 52422, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 50852, 52692, 53667, 50806, 51279, 50806, 51315, 54273, 52610, 53492, 50806, 51234, 50806, 51050, 71681, 52931, 53667, 50806, 51279, 50806, 51315, 54273, 50806, 50799, 51577, 51104, 56191, 50801, 53113, 53667, 50806, 51279, 50806, 51315, 54273, 54007, 50801, 52422, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 51234, 50821, 51050, 50821, 53492, 50806, 51577, 51104, 56050, 51234, 50821, 51050, 53558, 53247, 51234, 50821, 51050, 50821, 53492, 54273, 54787, 51234, 50821, 51050, 53558, 53153, 51234, 50821, 51050, 50821, 53492, 50806, 51577, 51104, 55982, 51234, 50821, 51050, 53558, 52935, 51234, 50821, 51050, 50821, 53492, 54273, 54863, 51234, 50821, 51050, 53558, 50821, 76956, 50806, 51279, 50806, 51315, 50806, 51577, 51104, 56191, 50801, 53113, 53667, 50806, 51279, 50806, 51315, 54273, 54007, 50801, 52422, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 50852, 52692, 53667, 50806, 51279, 50806, 51315, 54273, 52610, 53492, 50806, 51234, 50806, 51050, 71681, 52931, 53667, 50806, 51279, 50806, 51315, 54273, 50806, 57752, 52774, 53667, 50806, 51279, 50806, 51315, 54273, 52247, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 50852, 52692, 53667, 50806, 51279, 50806, 51315, 54273, 52610, 51234, 50821, 51050, 50821, 53492, 71681, 59908, 51234, 50821, 51050, 52935, 52206, 72676, 67899, 54273, 50806, 76956, 50806, 51279, 50806, 51315, 50806, 51577, 51104, 56191, 50801, 53113, 53667, 50806, 51279, 50806, 51315, 54273, 54007, 50801, 52422, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 50852, 52692 ]
[ 0, 250, 29475, 5175, 25771, 2125, 14, 7630, 6568, 10, 1472, 9, 15073, 8, 980, 4, 16241, 212, 18569, 6, 6755, 12547, 6, 5730, 2342, 4467, 6, 1481, 677, 2957, 16940, 6, 8, 17465, 8244, 22778, 35810, 561, 7, 1045, 10, 2635, 6, 15352, 30054, 5797, 990, 1506, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 3136, 23, 10, 182, 1769, 20889, 9, 29576, 13410, 228, 2289, 6, 19, 5, 33215, 16739, 9, 272, 6, 1918, 6, 274, 6, 272, 6, 8, 1918, 8165, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 77629, 50796, 50799, 55443, 75190, 55443, 74388, 55443, 51483, 50446, 55443, 51483, 50454, 55443, 51483, 50799, 55443, 52512, 50438, 54251, 54055, 76501, 55443, 51237, 69188, 51735, 50799, 55443, 51483, 69188, 51483, 50422, 55443, 51483, 69188, 51483, 50430, 55443, 51483, 69188, 51483, 50438, 55443, 51237, 69188, 75044, 55443, 51237, 69188, 51237, 50799, 54251, 53174, 61609, 53174, 50450, 55443, 53174, 69188, 53174, 50796, 50796, 51302, 53294, 50804, 50883, 53526, 53711, 51289, 50846, 54124, 50883, 51528, 51139, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 52105, 52389, 51139, 59311, 51762, 53550, 51041, 57000, 52105, 52320, 60427, 63609, 51528, 51139, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 52105, 52389, 51139, 59311, 51762, 53550, 51041, 57000, 52105, 52320, 60427, 63609, 51528, 51139, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 52105, 52389, 51139, 59311, 51762, 53550, 51041, 57000, 52105, 52320, 60427, 63609, 51528, 51139, 56493, 52261, 51544, 63519, 55409, 51745, 70972, 51745, 50434, 52883, 53116, 54074, 59484, 55443, 51745, 69188, 51745, 59848, 52883, 60427, 69591, 50799, 56154, 51237, 76570, 62461, 60480, 61236, 55443, 51237, 69188, 51237, 52883, 59311, 61767, 55409, 51237, 70972, 51237, 54074, 57000, 59848, 55443, 51237, 69188, 62461, 60427, 63609, 50799, 58551, 51237, 50742, 50337, 51237, 52883, 56493, 64612, 56154, 51237, 76570, 62461, 59871, 52883, 53116, 55443, 51237, 69188, 51237, 54074, 59484, 59848, 56154, 51237, 76570, 51237, 52883, 60427, 69591, 50799, 56154, 53174, 76570, 53174, 50791, 60480, 52105, 52389, 51139, 59311, 51762, 53550, 51041, 57000, 52105, 52320, 60427, 63609, 51528, 51139, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 50799, 55443, 51237, 69188, 62461, 60480, 61236, 56154, 51237, 76570, 51237, 52883, 59311, 61767, 58551, 51237, 50742, 50337, 51237, 54074, 57000, 59848, 56154, 51761, 76570, 75129, 60427, 63609, 51528, 51139, 56493, 64612, 55443, 51237, 69188, 62461, 59871, 52883, 53116, 55443, 51237, 69188, 51237, 54074, 59484, 59848, 55409, 51237, 70972, 51237, 52883, 60427, 69591, 50799, 54251, 51237, 61609, 62461, 60480, 61236, 55443, 51237, 69188, 51237, 52883, 59311, 61767, 55443, 51761, 69188, 51761, 54074, 57000, 52105, 52320, 53685, 55409, 51761, 70972, 51761, 60651, 50829, 51528, 51139, 56493, 64612, 54491, 52379, 59635, 52379, 50791, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 52105, 52389, 51139, 59311, 51762, 53550, 51041, 57000, 52105, 52320, 60427, 63609, 50799, 61406, 52204, 57541, 51449, 58004, 54249, 61514, 54249, 63036, 51449, 51881, 55856, 51656, 55856, 51838, 55856, 52225, 55856, 52036, 55856, 52883, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 61236, 57541, 50972, 52883, 59311, 61767, 58004, 50972, 73038, 51252, 50662, 50349, 50362, 51002, 51041, 59797, 50662, 50349, 52514, 50442, 73159, 51252, 50662, 50347, 52101, 50444, 50662, 50347, 52514, 50446, 67440, 51252, 50662, 50345, 52101, 59848, 63036, 50972, 73159, 51252, 50662, 50347, 69219, 61376, 67440, 51252, 50662, 50345, 52101, 50458, 67092, 51252, 50662, 50344, 50362, 51104, 50829, 50799, 67440, 51252, 50662, 50345, 50362, 50966, 51139, 54639, 63036, 53849, 50418, 67092, 51252, 50662, 50344, 52101, 50422, 60165, 51252, 77174, 52101, 76931, 57541, 54249, 50426, 67092, 51252, 50662, 50344, 69219, 56710, 58004, 54249, 50430, 60165, 51252, 77174, 52101, 50434, 57088, 51252, 65488, 50362, 50966, 51139, 53116, 60165, 51252, 77174, 50362, 51002, 51041, 60547, 57088, 51252, 65488, 52101, 50446, 62811, 51252, 66928, 52101, 59848, 57088, 51252, 65488, 50362, 50966, 51139, 61376, 62811, 51252, 66928, 52101, 50458, 59454, 51252, 61475, 50362, 51104, 50839, 50799, 62811, 51252, 66928, 69219, 64600, 59454, 51252, 61475, 52101, 50422, 55839, 51252, 58605, 52101, 61236, 59454, 51252, 61475, 50362, 50966, 51139, 59971, 55839, 51252, 58605, 52101, 50434, 57016, 51252, 56176, 52101, 61767, 55839, 51252, 58605, 50362, 51002, 51041, 58408, 57016, 51252, 56176, 52101, 50446, 58012, 51252, 56185, 52101, 59848, 57016, 51252, 56176, 69219, 61376, 58012, 51252, 56185, 52101, 50458, 56333, 51252, 53727, 50362, 51104, 50829, 50799, 65854, 52204, 58621, 51449, 58004, 51449, 61514, 51449, 62206, 51449, 59454, 51252, 52133, 55856, 51711, 55856, 51838, 55856, 52225, 55856, 52137, 55856, 61475, 50362, 50966, 51139, 59720, 55839, 51252, 58605, 52101, 50422, 57016, 51252, 56176, 52101, 64612, 55839, 51252, 58605, 69219, 63519, 57016, 51252, 56176, 52101, 50434, 58012, 51252, 56185, 50362, 50966, 51139, 53116, 57016, 51252, 56176, 50362, 51002, 51041, 60547, 58012, 51252, 56185, 52101, 50446, 56333, 51252, 53727, 52101, 59848, 58012, 51252, 56185, 50362, 50966, 51139, 61376, 56333, 51252, 53727, 52101, 50458, 56220, 51252, 53085, 50362, 51104, 50839, 50799, 57016, 51252, 56176, 69219, 53829, 58012, 51252, 56185, 52101, 50422, 56333, 51252, 53727, 52101, 61236, 58621, 50972, 58012, 51252, 56185, 50362, 50966, 51139, 59971, 56333, 51252, 53727, 52101, 50434, 56220, 51252, 53085, 52101, 61767, 61514, 51481, 56333, 51252, 53727, 50362, 51002, 51041, 58408, 56220, 51252, 53085, 52101, 50446, 57020, 51252, 53016, 52101, 59848, 62206, 69207, 67940, 56220, 51252, 53085, 52101, 50456, 55871, 51252, 52235, 52101, 60651, 50829, 50799, 58621, 53849, 58004, 53849, 61514, 53849, 62206, 53849, 58012, 51252, 56185, 50362, 50966, 51139, 52432, 56333, 51252, 53727, 52101, 50422, 56220, 51252, 53085, 52101, 64612, 56333, 51252, 53727, 69219, 63519, 56220, 51252, 53085, 52101, 50434, 57020, 51252, 53016, 50362, 50966, 51139, 53116, 56220, 51252, 53085, 50362, 51002, 51041, 60547, 57020, 51252, 53016, 52101, 50446, 55871, 51252, 52235, 52101, 59848, 57020, 51252, 53016, 50362, 50966, 51139, 61376, 55871, 51252, 52235, 52101, 50456, 58563, 51252, 51992, 52101, 60651, 50839, 50799, 56220, 51252, 53085, 69219, 53829, 57020, 51252, 53016, 52101, 50422, 55871, 51252, 52235, 52101, 61236, 57020, 51252, 53016, 50362, 50966, 51139, 59971, 55871, 51252, 52235, 52101, 50434, 58563, 51252, 51992, 52101, 61767, 55871, 51252, 52235, 50362, 51002, 51041, 58431, 62012, 51252, 51850, 52101, 50446, 52105, 52320, 60427, 63609, 50799, 61406, 52204, 58004, 51449, 61514, 54249, 63036, 54249, 63452, 54249, 51881, 55856, 51838, 55856, 52225, 55856, 52036, 55856, 52430, 55856, 52883, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 61236, 58004, 50972, 52883, 59311, 61767, 63036, 50972, 54074, 57000, 59848, 63452, 69207, 60427, 63609, 50799, 58004, 53849, 61514, 53849, 63036, 53849, 63452, 53849, 52883, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 52105, 52389, 51139, 59311, 51762, 53550, 51041, 57000, 52105, 52320, 60427, 50852, 54794, 65854, 52204, 58621, 54249, 58004, 54249, 61514, 54249, 62206, 54249, 50799, 52133, 55856, 51711, 55856, 51838, 55856, 52225, 55856, 52137, 55856, 52883, 56493, 52261, 51544, 59871, 52883 ]
[ 0, 250, 20902, 3152, 8, 3495, 24904, 6, 42, 20425, 2214, 1575, 10, 36075, 8669, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 2724, 368, 31365, 25999, 6, 21072, 6, 8, 3459, 9590, 6, 70, 447, 561, 7, 1045, 10, 15352, 30054, 8, 14899, 5466, 19, 10, 11602, 9, 15073, 4, 8504, 11, 5, 762, 9, 211, 538, 8, 6780, 10, 1769, 20889, 9, 10529, 13410, 228, 2289, 6, 5, 2125, 3905, 10, 204, 73, 306, 86, 6543, 6, 19, 5, 40286, 83, 8, 211, 442, 12577, 4961, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 56540, 50948, 51075, 50862, 51288, 50836, 51622, 50374, 53323, 50938, 50415, 51075, 50878, 51288, 50942, 52356, 50924, 50419, 51622, 50857, 51288, 52734, 51075, 50857, 51075, 56438, 51862, 50421, 51271, 51030, 51288, 55946, 51321, 50910, 50425, 51075, 50884, 52294, 50846, 51288, 78425, 54156, 51075, 50812, 51288, 78508, 50910, 52356, 50936, 50427, 51271, 50948, 50431, 54479, 66746, 51622, 52749, 51634, 50908, 51075, 50862, 51288, 58897, 51022, 50433, 51271, 69200, 51321, 59321, 51075, 50818, 74986, 51622, 53574, 51271, 50948, 66746, 73492, 51321, 77648, 59357, 51075, 50855, 51288, 50836, 51075, 50952, 77138, 51622, 50910, 51321, 51022, 50445, 51271, 71097, 51321, 54721, 51271, 50936, 51075, 50809, 51288, 50836, 51622, 50840, 51075, 50859, 51288, 56438, 53104, 50583, 57830, 51271, 51030, 51075, 50862, 51288, 50836, 66127, 59639, 51622, 56438, 65319, 51321, 50808, 56540, 50924, 51075, 50890, 51288, 50887, 51622, 50840, 54479, 51288, 56438, 52476, 50583, 59723, 51271, 50924, 74986, 51075, 50862, 51075, 50821, 51288, 50858, 51622, 52757, 50584, 58910, 51321, 68208, 52356, 58216, 51271, 50924, 51075, 50884, 51288, 50840, 51622, 50840, 51075, 50859, 51288, 78508, 53974, 51271, 50948, 51288, 50818, 59337, 51288, 50840, 66127, 51622, 53104, 50584, 60968, 51321, 54362, 51271, 50806, 51075, 50884, 51288, 50884, 51622, 50840, 61727, 51288, 78508, 53745, 50583, 60224, 51271, 50806, 61003, 51634, 50870, 51075, 50855, 51075, 50809, 51288, 50887, 51622, 71459, 63491, 51321, 68168, 51075, 50884, 51288, 50884, 51622, 52396, 51271, 50879, 61727, 51288, 78508, 50384, 59064, 51033, 50455, 51622, 55433, 51271, 51737, 59337, 51075, 50890, 51288, 50840, 51288, 78628, 68248, 51321, 62959, 51075, 50884, 51288, 50818, 51622, 50887, 56540, 50873, 51075, 50859, 51288, 53104, 50584, 50385, 59064, 59723, 51271, 50972, 51288, 50818, 51075, 50887, 51075, 50930, 51288, 78425, 71459, 63140, 51321, 67415, 51075, 50884, 51288, 50818, 51622, 70945, 55889, 51271, 50924, 51288, 50930, 51075, 78508, 66428, 51075, 50890, 51288, 50890, 51622, 54334, 51271, 50806, 51288, 50895, 51075, 58897, 64568, 51321, 65452, 51075, 50895, 51288, 50818, 51622, 53418, 51271, 51030, 61727, 51288, 53104, 50584, 50384, 59064, 70035, 51288, 50884, 51075, 54400, 51271, 52731, 51634, 50928, 51075, 50821, 51288, 50859, 51622, 66389, 63491, 51321, 59248, 51075, 50895, 61003, 51622, 50884, 51075, 51757, 66709, 51288, 61589, 70945, 50940, 50455, 51075, 50887, 51075, 50890, 51288, 50880, 51622, 52485, 51271, 51021, 51288, 57590, 65319, 51321, 65706, 51075, 50895, 51288, 50884, 51622, 51276, 50583, 50921, 50799, 52449, 51775, 56184, 51380, 51271, 50936, 66127, 51288, 61589, 50858, 50419, 51271, 50849, 51075, 50895, 66746, 51622, 51835, 51288, 50884, 51075, 50380, 53323, 58910, 51321, 65418, 51271, 50879, 51075, 50895, 51288, 50895, 51622, 52437, 56184, 51328, 52449, 50974, 51075, 50859, 51288, 53104, 50584, 53745, 50583, 51033, 50431, 66709, 51075, 50886, 51075, 50890, 51288, 50864, 51288, 78425, 54937, 51321, 64568, 51321, 54957, 55402, 51121, 53559, 51328, 53139, 51111, 61485, 51143, 50987, 59206, 51634, 50943, 52294, 50914, 51143, 50995, 51219, 51108, 51211, 50981, 53687, 51097, 51321, 50384, 59064, 50921, 50439, 51206, 78045, 51271, 75390, 63491, 51321, 54755, 56590, 51048, 52449, 51199, 53139, 51346, 51271, 77837, 51124, 51622, 50991, 77864, 51622, 51330, 52375, 51003, 54338, 74167, 50384, 59064, 64257, 51761, 50456, 51271, 50936, 51634, 50838, 51321, 68248, 51321, 50890, 56540, 50806, 51288, 50864, 51622, 50857, 51075, 50977, 51288, 50917, 52172, 50830, 52356, 51021, 51321, 61555, 51288, 50836, 51622, 50809, 52172, 76739, 51862, 50421, 51271, 54901, 51321, 56382, 51271, 50936, 51075, 50867, 51288, 50857, 51622, 50862, 51854, 50859, 52172, 52757, 50583, 50921, 51321, 50910, 50431, 51288, 50833, 51622, 52749, 51271, 51030, 52172, 53376, 50584, 60968, 51321, 59321, 51622, 50828, 51288, 54431, 51271, 50938, 51075, 71805, 50812, 52172, 50943, 51321, 77648, 51033, 50443, 51271, 50938, 51288, 51820, 51622, 78412, 65932, 51321, 65835, 51271, 51192, 51622, 50828, 51288, 53938, 51075, 50844, 51854, 50800, 53319, 51060, 51321, 53104, 50583, 50936, 50455, 51288, 50855, 51622, 54583, 51271, 50936, 52380, 51116, 51321, 65319, 51321, 62923, 51271, 50806, 51622, 50828, 51288, 50813, 72354, 50854, 51288, 52757, 50584, 52476, 50583, 50921, 50419, 51288, 50855, 51622, 54878, 51271, 50936, 52380, 52757, 50584, 58910, 51321, 68208, 71784, 51288, 50840, 51622, 50855, 51854, 53950, 51075, 50844, 52380, 66103, 53104, 50583, 50921, 50431, 51271, 50936, 51288, 50862, 51622, 50836, 52380, 74257, 51321, 60968, 51321, 64141, 51271, 50911, 51288, 50839, 51622, 50839, 51075, 50810, 59639, 53319, 52446, 51321, 66972, 52356, 51033, 50443, 51271, 50937, 51288, 50840, 51622, 50836, 52172, 60182, 51321, 63491, 51321, 68168, 51271, 50942, 51622, 50841, 51075, 50886, 51288, 50836, 51854, 53639, 51321, 50384, 59064, 50940, 50455, 51271, 50893, 51288, 50840, 51622, 50836, 51979, 74323, 51321, 68248, 51321, 62959, 73781, 51622, 50855, 51622, 50822, 51211, 50942, 52563, 50948, 51321, 50385, 59064, 50921, 50419, 51211, 50836, 51622, 54878, 50953, 51380, 51979, 50897, 51321, 63140, 51321, 67415, 51622, 70830, 50855, 51979, 52450, 51211, 50810, 52294, 66103, 50383, 59064, 50921, 50431, 58918, 51211, 50836, 51622, 50836, 51979, 53627, 51321, 64568, 51321, 65452, 78021, 51211, 50833, 51622, 50810, 52228, 60315, 51622, 50841, 51211, 58897, 50384, 59064, 50940, 50443, 50953, 62682, 51211, 50836, 51622, 50380, 53323, 63491, 51321, 59248, 51211, 50867, 52294, 53886, 73781, 51622, 50862, 54727, 60478, 70945, 50952, 50455, 51211, 50887, 51622, 50887, 53880, 51696, 50456, 65343, 51321, 65319, 51321, 65706, 51075, 50809, 51843, 50886, 56540, 50977, 51854, 77454, 53745, 50583, 50940, 50419, 51271, 50977, 51075, 59723, 51622, 50959, 51321, 58910, 51321, 65418, 51271, 50879, 52341, 53383, 51075, 50880, 53964, 64594, 61589, 54154, 51271, 50936, 52874, 53376, 50584, 71598, 51622, 56486, 51321, 65452, 51271, 50805, 53289, 54957, 51075, 52757, 50584, 50384, 59064, 50921, 50439, 52294, 50865, 50443, 51271, 50936, 51622, 52815, 51075, 78508, 63491, 51321, 68168, 51271, 50806, 52356, 57099, 51075, 50880, 51854, 60478, 68065, 51271, 50940, 51622, 50936, 51288, 53586, 51321, 68248, 51321, 50890, 56540, 50806, 51288, 50864, 51622, 50857, 51075, 50977, 52172, 77648, 51021, 51321, 61555, 51288, 50836, 51622, 50809, 52172, 66389, 51862, 50421, 51271, 54901, 51321, 56382, 51271, 50936, 51075, 50867, 51288, 50857, 51622, 50862, 51854, 50859, 52172, 52757, 50583, 50921, 51321, 50910, 50431, 51288, 50833, 51622, 50812, 52172, 52749, 51271, 68791, 60968, 51321, 59321, 51622, 50828, 51288, 50855, 52172, 55965, 51271, 50938, 51075, 71805, 52757, 50584, 77648, 51033, 50443, 51271, 50938, 51288, 51820, 51622, 78412, 65932, 51321, 65835, 51271, 51192, 51622, 50828, 51288, 50862, 53319, 65504, 51075, 50844, 51854, 56438, 53104, 50583, 50936, 50455, 51288, 50855, 51622, 54583, 51271, 50936, 52380, 51162, 51321, 65319, 51321, 62923, 51271, 50806, 51622, 50828, 51288, 50813, 72354, 50854, 51288, 52757, 50584, 52476, 50583, 50921, 50419, 51288, 50855, 51622, 54878, 51271 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 326, 5638, 18026, 6, 17605, 9590, 6, 3459, 9590, 6, 13305, 6, 8, 1076, 560, 31365, 25999, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 9, 12312, 741, 1685, 6, 42, 2365, 12, 36381, 1349, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 163, 428, 8, 12608, 6, 61, 7230, 5705, 4, 590, 63, 17627, 17274, 6711, 8, 12298, 223, 34693, 6, 42, 2214, 115, 1807, 157, 25, 3618, 930, 13, 1337, 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 ]	[ 57739, 50799, 51326, 54107, 51326, 53663, 51326, 54145, 51326, 50824, 50799, 50727, 50335, 52098, 50295, 72424, 61336, 68488, 54805, 54226, 50727, 50326, 50917, 52389, 58542, 50727, 50331, 53695, 50727, 50326, 55310, 50727, 50331, 52841, 50727, 50335, 53351, 57699, 50727, 50326, 54465, 50727, 50331, 55932, 50727, 50335, 52848, 50798, 57325, 50727, 50326, 53875, 50727, 50331, 50917, 50799, 50727, 50336, 51519, 50300, 72424, 72025, 64806, 54805, 54226, 70776, 50849, 52389, 58542, 50727, 50331, 53695, 70776, 54125, 50727, 50331, 52841, 50727, 50336, 52972, 57699, 70776, 52597, 50727, 50331, 54672, 50727, 50336, 55620, 50798, 57325, 70776, 53875, 50727, 50331, 50897, 50799, 50727, 50335, 52098, 50295, 72424, 61336, 68488, 54805, 54226, 50727, 50326, 50917, 52389, 58542, 50727, 50331, 53695, 50727, 50326, 55310, 50727, 50331, 52841, 50727, 50335, 53351, 57699, 50727, 50326, 54465, 50727, 50331, 55932, 50727, 50335, 52848, 50798, 57325, 50727, 50326, 53875, 50727, 50331, 50917, 50799, 50727, 50336, 51519, 50300, 72424, 72025, 64806, 54805, 54226, 70776, 50849, 52389, 58542, 50727, 50331, 53695, 70776, 54125, 50727, 50331, 52841, 50727, 50336, 52972, 57699, 70776, 52597, 50727, 50331, 54672, 50727, 50336, 55620, 50798, 57325, 70776, 53875, 50727, 50331, 50897, 50799, 50727, 50335, 50917, 52481, 51717, 51426, 51717, 51395, 51717, 51811, 51717, 51197, 72424, 61336, 68488, 50918, 51992, 55548, 54226, 50727, 50326, 50917, 52280, 50917, 52389, 58542, 50727, 50331, 50836, 52527, 53695, 50727, 50326, 50836, 52280, 55310, 50727, 50331, 50812, 52527, 52841, 50727, 50335, 50836, 51992, 53351, 57699, 50727, 50326, 50836, 52280, 54465, 50727, 50331, 50836, 52527, 55932, 50727, 50335, 50812, 51992, 52848, 50798, 57325, 50727, 50326, 50836, 52280, 53875, 50727, 50331, 50917, 52527, 50917, 50799, 50727, 50336, 51519, 50300, 72424, 72025, 75377, 52943, 53834, 54226, 70776, 50849, 51756, 50849, 52389, 58542, 50727, 50331, 50836, 52527, 53695, 70776, 50812, 51756, 54125, 50727, 50331, 50812, 52527, 52841, 50727, 50336, 50812, 52943, 52972, 57699, 70776, 50812, 51756, 52597, 50727, 50331, 50812, 52527, 54672, 50727, 50336, 50897, 52943, 55620, 50798, 57325, 70776, 50836, 51756, 53875, 50727, 50331, 50897, 52527, 50897, 50799, 50727, 50335, 52098, 50295, 72424, 61336, 68488, 50918, 51992, 55548, 54226, 50727, 50326, 50917, 52280, 50917, 52389, 58542, 50727, 50331, 50836, 52527, 53695, 50727, 50326, 50836, 52280, 55310, 50727, 50331, 50812, 52527, 52841, 50727, 50335, 50836, 51992, 53351, 57699, 50727, 50326, 50836, 52280, 54465, 50727, 50331, 50836, 52527, 55932, 50727, 50335, 50812, 51992, 52848, 50798, 57325, 50727, 50326, 50836, 52280, 53875, 50727, 50331, 50917, 52527, 50917, 50799, 50727, 50336, 51519, 50300, 72424, 72025, 75377, 52943, 50849, 50703, 50283, 51307, 66724, 51307, 52623, 51307, 52184, 67841, 54226, 70776, 50849, 51756, 50849, 52389, 58542, 50727, 50331, 50836, 52527, 53695, 70776, 50812, 51756, 54125, 50727, 50331, 50812, 52527, 52841, 50727, 50336, 50812, 52943, 51420, 53235, 57699, 70776, 50812, 51756, 51420, 55920, 50727, 50331, 50812, 52527, 51420, 57674, 50727, 50336, 50897, 52943, 55593, 50882, 52320, 53235, 57325, 70776, 50836, 51756, 50380, 57332, 54403, 50727, 50331, 50897, 52527, 50897, 52013, 58361, 53222, 50882, 50799, 50727, 50335, 50987, 51105, 50976, 51197, 51173, 51197, 72424, 61336, 68488, 50918, 51992, 50917, 51206, 55195, 50824, 51402, 53932, 50727, 50326, 50987, 52280, 54260, 54588, 76613, 51197, 52207, 53049, 51096, 52035, 50290, 50948, 51441, 50966, 53694, 58542, 50727, 50331, 50857, 52527, 52217, 53627, 50727, 50326, 50857, 73185, 51085, 50940, 52280, 52217, 55098, 50727, 50331, 50844, 52527, 51420, 53415, 50727, 50335, 50857, 51105, 50976, 51197, 51173, 51992, 50836, 51441, 50966, 57699, 50727, 50326, 50857, 52280, 52217, 54207, 50727, 50331, 50857, 52527, 52217, 55590, 50727, 50335, 50844, 76613, 51197, 50890, 51992, 51420, 53639, 56372, 51085, 50893, 51441, 50966, 53694, 57325, 50727, 50326, 50857, 52280, 52217, 53920, 50727, 50331, 50987, 51096, 52035, 50290, 50948, 52527, 54260, 50833, 51621, 50833, 50799, 50727, 50336, 50892, 51796, 50802, 51503, 51936, 50300, 72424, 72025, 75377, 52943, 50849, 51441, 50966, 50824, 51402, 53932, 70776, 50892, 51756, 52808, 54588, 51796, 50811, 51503, 52207, 53049, 60606, 52035, 50283, 50948, 51441, 50966, 53694, 58542, 50727, 50331, 50857, 52527, 52217, 53627, 70776, 50844, 52936, 52035, 50285, 50948, 51756, 51420, 55098, 50727, 50331, 50844, 52527, 51420, 53415, 50727, 50336, 50844, 51796, 50976, 51503, 51173, 52943, 51420, 53632, 57699, 70776, 50844, 51756, 51420, 54207, 50727, 50331, 50844, 52527, 51420, 55590, 50727, 50336, 50955, 51796, 50811, 51503, 50890, 52943, 55593, 53639, 52936, 50802, 51247, 50893, 51441, 50966, 53694, 57325, 70776, 50857, 51756, 52217, 53920, 50727, 50331, 50955, 60606, 52035, 50283, 50948, 52527, 55593, 50833, 51621, 50833, 50799, 50727, 50335, 50987, 51105, 50976, 51197, 51173, 51197, 72424, 61336, 68488, 50918, 51992, 50917, 51441, 50966, 50824, 51402, 53932, 50727, 50326, 50987, 52280, 54260, 54588, 76613, 51197, 52207, 53049, 51096, 52035, 50290, 50948, 51441, 50966, 53694, 58542, 50727, 50331, 50857, 52527, 52217, 53627, 50727, 50326, 50857, 73185, 51085, 50940, 52280, 52217, 55098, 50727, 50331, 50844, 52527, 51420, 53415, 50727, 50335, 50857, 51105, 50976, 51197, 51173, 51992, 50836, 51441, 50966, 57699, 50727, 50326, 50857, 52280, 52217, 54207, 50727, 50331, 50857, 52527, 52217, 55590, 50727, 50335, 50844, 76613, 51197, 50890, 51992, 51420, 53639, 56372, 51085, 50893, 51441, 50966, 53694, 57325, 50727, 50326, 50857, 52280, 52217, 53920, 50727, 50331, 50987, 51096, 52035, 50290, 50948, 52527, 54260, 50833, 51621, 50833, 50799, 50727, 50336, 50892, 51796, 50802, 51503, 51936, 50300, 72424, 72025, 75377, 52943, 50849, 51441, 50966, 50824, 51402, 53932, 70776, 50892, 51756, 52808, 54588, 51796, 50811, 51503, 52207, 53049, 60606, 52035, 50283, 50948, 51441, 50966, 53694, 58542, 50727, 50331, 50857, 52527, 52217, 53627, 70776, 50844, 52936, 52035, 50285, 50948, 51756, 51420, 55098, 50727, 50331, 50844, 52527, 51420, 53415, 50727, 50336, 50844, 51796, 50976, 51503, 51173, 52943, 51420, 53632, 57699, 70776, 50844, 51756, 51420, 54207, 50727, 50331, 50844, 52527, 51420, 55590, 50727, 50336, 50955, 51796, 50811, 51503, 50890, 52943, 55593, 53639, 52936, 50802, 51247, 50893, 51441, 50966, 53694, 57325, 70776, 50857, 51756, 52217, 53920, 50727, 50331, 50955, 60606, 52035, 50283, 50948, 52527, 55593, 50833, 51621, 50833, 50799, 50727, 50335, 50987, 51105, 50976, 51197, 51173, 51197, 72424, 61336, 68488, 50918, 51992, 50917, 51441, 50966, 50824, 51402, 53932, 50727, 50326, 50987, 52280, 54260, 54588, 76613, 51197, 52207, 53049, 51096, 52035, 50290, 50948, 51441, 50966, 53694, 58542, 50727, 50331, 50857, 52527, 52217, 53627, 50727, 50326, 50857, 73185, 51085, 50940, 52280, 52217, 55098, 50727, 50331, 50844, 52527, 51420, 53415, 50727, 50335, 50857, 51105, 50976, 51197, 51173, 51992, 50836, 51441, 50966, 57699, 50727, 50326, 50857, 52280, 52217, 54207, 50727, 50331, 50857, 52527, 52217, 55590, 50727, 50335, 50844, 76613, 51197, 50890, 51992, 51420, 53639 ]
[ 0, 250, 2635, 12, 20764, 15855, 2125, 4246, 10, 13305, 8, 24896, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 112, 73, 306, 86, 6543, 4, 20, 15229, 7630, 6568, 10, 25306, 5466, 6, 29354, 15352, 30054, 33083, 19, 17878, 9, 15073, 8, 9066, 2821, 16235, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 9, 163, 428, 8, 12608, 6, 2351, 10, 1472, 9, 26545, 1328, 5, 2214, 18, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50625, 52274, 52274, 52274, 52552, 51001, 50896, 51034, 51062, 51427, 50423, 51147, 52422, 51001, 51274, 62335, 52297, 50307, 66677, 62682, 50876, 50806, 51034, 51028, 51427, 50423, 50931, 52422, 50906, 72328, 51040, 57874, 58956, 55885, 51120, 56962, 50806, 76898, 51427, 51197, 51016, 79579, 68057, 50906, 53939, 51001, 51274, 50429, 51197, 51417, 71341, 51218, 50435, 50997, 51241, 64574, 62682, 50906, 63412, 50806, 50449, 50906, 79021, 50880, 51034, 50965, 51196, 50876, 75843, 51503, 51417, 50420, 51085, 51218, 50423, 51197, 51241, 70562, 51013, 55203, 50936, 50442, 50956, 50936, 50446, 70588, 78031, 51363, 50423, 52046, 50833, 51197, 50833, 50956, 72674, 50906, 51620, 50956, 55890, 72400, 52046, 51127, 51197, 64345, 50956, 51058, 50442, 50861, 51058, 50446, 61801, 51034, 50906, 51363, 51028, 51363, 50423, 51503, 50833, 51176, 72474, 62674, 66303, 51620, 50900, 58750, 72778, 51503, 51127, 51176, 64345, 50965, 56484, 50906, 59797, 50861, 50818, 50965, 53905, 50965, 58408, 50876, 64731, 51001, 50865, 51034, 51147, 74523, 51234, 71818, 60003, 50424, 51176, 57817, 79500, 50428, 51027, 53911, 50997, 50943, 50435, 51001, 51724, 50902, 52831, 51062, 51820, 51081, 52513, 61673, 72316, 70632, 51013, 50415, 51197, 50841, 51050, 70325, 51120, 50841, 51197, 56933, 50900, 53932, 50997, 54588, 51120, 53906, 51197, 58141, 51001, 58500, 50931, 57000, 51001, 60794, 50902, 57868, 51001, 50818, 51034, 51040, 50810, 50951, 51238, 50417, 50956, 54351, 50861, 55266, 71430, 51001, 58821, 51028, 72293, 52329, 73766, 51081, 50983, 50429, 50956, 53513, 50861, 55167, 50956, 53614, 51197, 56532, 50956, 53783, 60569, 51001, 53658, 71430, 68321, 50810, 51147, 51238, 50417, 50956, 54351, 50965, 55266, 71430, 51001, 58821, 50876, 72293, 52329, 51176, 50844, 51062, 50983, 50429, 50956, 53513, 50965, 55167, 50956, 53614, 50900, 56532, 50956, 53783, 50965, 50844, 51001, 53658, 71430, 51034, 51040, 50810, 51081, 51238, 50417, 50956, 54351, 50861, 55266, 71430, 51001, 58821, 50906, 72293, 52329, 51026, 50844, 51405, 50983, 50429, 50956, 53513, 50861, 55167, 50956, 53614, 50997, 56532, 50956, 53783, 60569, 51399, 53658, 50956, 64913, 51399, 50809, 77575, 50810, 51062, 63229, 50965, 54351, 50956, 55266, 50900, 53450, 51176, 58141, 51062, 50795, 51034, 59179, 51040, 51518, 50417, 51081, 51835, 51487, 52296, 51339, 51620, 51405, 57722, 51127, 76885, 50429, 51399, 51628, 51062, 52262, 51081, 51724, 51147, 52831, 50951, 51820, 50931, 52513, 64341, 51034, 51028, 60692, 51518, 73401, 51835, 51339, 52296, 51405, 51620, 51399, 63628, 51127, 50965, 51127, 50429, 51062, 51628, 51081, 52262, 51147, 51724, 50951, 52831, 50931, 51820, 51001, 52513, 63417, 51034, 56143, 50861, 51518, 50417, 50906, 51835, 51405, 52296, 51399, 51620, 59179, 50997, 51127, 51040, 51127, 50429, 51081, 51628, 51147, 52262, 50951, 51724, 50931, 52831, 51001, 51820, 51028, 52513, 60437, 51034, 50906, 78006, 50965, 53932, 50861, 54588, 50871, 53049, 66461, 50906, 51356, 51028, 51356, 50951, 51356, 50429, 50899, 53627, 50956, 55098, 50871, 53415, 50956, 58935, 51040, 54207, 50900, 55590, 50997, 50833, 77575, 50833, 50876, 51605, 51147, 51605, 50417, 50900, 53932, 50997, 54588, 51176, 53049, 51026, 56274, 50997, 53627, 51176, 55098, 51026, 53415, 51050, 58935, 51176, 54207, 51026, 55590, 51050, 50854, 72316, 52821, 77343, 51835, 51081, 52296, 51147, 51620, 50951, 52765, 51081, 51628, 51147, 52262, 50951, 51724, 50931, 52831, 51147, 51820, 50951, 52513, 66188, 51034, 51001, 64736, 51147, 51620, 50876, 70900, 51001, 51724, 50965, 65677, 60437, 51034, 50956, 51358, 54569, 51121, 61104, 51121, 56014, 51121, 62335, 65562, 55179, 51176, 51121, 76898, 64325, 51121, 69980, 59851, 63559, 51197, 51121, 50906, 57345, 51360, 51121, 62275, 65562, 51234, 52434, 50305, 54828, 50795, 51034, 51503, 69970, 79981, 60823, 51841, 51077, 51315, 51077, 51086, 51356, 50965, 51356, 78458, 52297, 50281, 51189, 51360, 51189, 50965, 55834, 50956, 53182, 52206, 51734, 50292, 56389, 51040, 55890, 53218, 53492, 51458, 50290, 50873, 52552, 54637, 51734, 50288, 51734, 50300, 50807, 51086, 60821, 58750, 50807, 72698, 52994, 54851, 52780, 55214, 54236, 50879, 74206, 51013, 51034, 52994, 53751, 50319, 51013, 50415, 51147, 51073, 50425, 50900, 50943, 56040, 75725, 50965, 51056, 50432, 52064, 56810, 53928, 57816, 52249, 50911, 50449, 50906, 51013, 51034, 52813, 53751, 50317, 51013, 50415, 50931, 51073, 51147, 51073, 50425, 50997, 57908, 51040, 50943, 73343, 51056, 50428, 50965, 51377, 50432, 54313, 56810, 52682, 57816, 52813, 50911, 50448, 50861, 51294, 51034, 52994, 51496, 50906, 51013, 50415, 51001, 51073, 77717, 51345, 50425, 51197, 50943, 56947, 75725, 50997, 51056, 50432, 52249, 52370, 50307, 52262, 51001, 51724, 52994, 61623, 52831, 50931, 51820, 53928, 73796, 77099, 64511, 62617, 57061, 50449, 53928, 50930, 51034, 52064, 51551, 50956, 65065, 72271, 52910, 51503, 52434, 50324, 50917, 55203, 50865, 50442, 50956, 64731, 50965, 50865, 78031, 52910, 50906, 63534, 51734, 50299, 72893, 56389, 50956, 51828, 50293, 51800, 50299, 78389, 50914, 50442, 50861, 64731, 50906, 50865, 51034, 50931, 52910, 51001, 67795, 51734, 50295, 51734, 50300, 56389, 50876, 51588, 50288, 51519, 50295, 51519, 50300, 50849, 50442, 51001, 59352, 51085, 75097, 51147, 50937, 51034, 51062, 51588, 50293, 50914, 50418, 51028, 50937, 50422, 50931, 57817, 51081, 51588, 50295, 50943, 50430, 50876, 78344, 51001, 58020, 51147, 51588, 50283, 50914, 50442, 50906, 50937, 50446, 51028, 50925, 51034, 50906, 51486, 51028, 51486, 50951, 51486, 50418, 51315, 50937, 50422, 51197, 57817, 51120, 50937, 50430, 51197, 78344, 51315, 58020, 51197, 50937, 50442, 51050, 69775, 51197, 50937, 51034, 51503, 51183, 50876, 50918, 51147, 56039, 54313, 51054, 51034, 53122, 58808, 52813, 56346, 54313, 63418, 52813, 51054, 51034, 52682, 52362, 50295, 51518, 50997, 51518, 50861, 51161, 51001, 59047, 53992, 56346, 59541, 63418, 52994, 51054, 51034, 52130, 68188, 51358, 51197, 51518, 50997, 51518, 50420, 52994, 52370, 50305, 52296, 50956, 51620, 53928, 51496, 50916, 52424, 50956, 51918, 52994, 52370, 50305, 57341, 54828, 50795, 51034, 53122, 50882, 51324, 51127, 51197, 51127, 51176, 51127, 51086, 51127, 50965, 63229, 53928, 55446, 52813, 57625, 53122, 54856, 54313, 65294, 61783, 50965, 51124, 50441, 51028, 51820, 50906, 52513, 66461, 61783, 77575, 50818, 51086, 50818, 50965, 64664, 51026, 61508, 54639, 51176, 50841, 50965, 58100, 51026, 61508, 52432, 51176, 50841, 50965, 56493, 51026, 61508, 53423, 51176, 50841, 50965, 57550, 51026, 61508, 52437, 51176, 71866, 52765, 50997, 69771, 56999, 51086, 70082, 52209, 51040, 50841, 51028, 56859, 50956, 70632, 53593, 50916, 50841, 50968, 56359, 50861, 50841, 50951, 52565, 50965, 79111, 51918, 50973, 51458, 50327, 50795, 51034, 51315, 50812, 51176, 77353, 59176, 51378, 75547, 58100, 51176, 50841, 50965, 52432, 51027, 65490, 56493, 51086, 70082, 53423, 51040, 50841, 51028, 57550, 50956, 70632, 52437, 50916, 50841, 50968, 60568, 50956, 70632, 54013, 50916, 50841, 50968, 56999, 50956, 70632, 52209, 50916, 50841, 50968, 56859, 50956, 70632, 53593, 50916, 50841, 50968, 56359, 50956, 70632, 52565, 50916, 65544, 51918, 50965, 51458, 50324, 50795, 51034, 51360, 51124, 51315 ]
[ 0, 250, 765, 37903, 9, 15352, 30054, 3495, 930, 4246, 10, 2342, 4467, 816, 5, 1049, 4782, 6, 7513, 30, 10, 38668, 11212, 6, 3459, 9590, 6, 6755, 12547, 6, 8, 21072, 6, 2351, 10, 3344, 9, 1372, 8, 2933, 6711, 29, 6, 278, 11, 10, 1769, 20889, 8, 5, 762, 9, 83, 538, 6, 19, 10, 33215, 16739, 9, 83, 6, 381, 6, 211, 6, 83, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 63515, 51271, 50806, 79417, 77871, 51491, 54273, 50980, 50843, 50980, 53654, 51469, 53679, 51469, 50426, 51271, 50806, 51113, 55422, 56158, 51886, 50976, 79417, 77871, 51491, 50806, 52614, 51167, 50843, 50980, 52005, 50980, 50446, 51886, 50823, 52614, 57099, 51886, 50802, 68027, 52614, 55422, 50921, 51889, 58133, 52433, 50824, 52614, 50896, 50458, 51889, 50921, 65310, 50806, 51794, 50806, 51301, 55422, 50980, 52684, 51469, 55340, 69097, 53598, 51066, 52614, 56003, 52022, 50806, 51113, 55422, 56925, 51686, 51066, 52614, 56158, 51794, 50806, 51301, 55422, 58648, 51686, 50802, 52614, 52610, 52083, 50802, 68027, 52614, 55422, 57175, 51686, 51072, 52614, 50896, 52563, 50806, 52065, 50806, 51088, 54273, 50980, 50843, 50980, 52507, 51469, 53679, 69097, 51686, 50802, 52614, 52247, 52156, 51184, 58918, 51491, 50806, 52614, 55422, 56158, 52065, 50806, 51251, 55422, 50980, 52005, 56812, 50843, 50921, 51889, 65372, 51889, 50921, 50799, 52065, 50806, 51088, 55422, 50980, 52507, 51469, 54008, 51469, 50426, 51491, 55422, 56158, 52065, 50806, 51251, 55422, 56812, 50843, 50980, 55194, 50806, 79417, 77871, 51491, 54273, 50980, 50843, 50980, 53654, 51469, 52684, 51469, 53679, 51469, 50426, 69364, 51113, 55422, 56158, 51886, 50976, 79417, 77871, 51491, 50806, 52614, 51167, 50843, 50980, 52005, 50980, 50446, 51886, 50823, 52614, 57099, 51886, 50802, 68027, 52614, 55422, 50921, 51889, 58133, 52433, 50824, 52614, 50896, 50458, 51889, 50921, 53534, 50806, 51794, 50806, 51301, 55422, 50980, 52684, 51469, 55340, 69097, 53598, 51066, 52614, 56003, 65609, 51113, 55422, 56925, 51686, 51066, 52614, 56158, 51794, 50806, 51301, 55422, 58648, 51686, 50802, 52614, 52610, 52083, 50802, 68027, 52614, 55422, 57175, 51686, 50824, 52614, 50896, 53400, 50806, 52065, 50806, 51088, 54273, 50980, 50843, 50980, 53278, 52570, 52507, 54089, 54008, 54089, 50420, 51565, 51795, 52203, 51226, 50426, 58337, 51491, 55422, 56158, 52065, 50806, 51251, 55422, 50980, 52005, 56812, 50843, 50921, 51889, 65372, 51889, 50921, 50799, 52065, 50806, 51088, 55422, 56003, 51491, 55422, 56158, 52065, 50806, 51251, 55422, 50980, 52684, 68660, 51301, 55422, 50980, 56540, 50806, 79417, 77871, 51491, 54273, 50980, 50843, 50980, 53654, 51469, 53679, 51469, 50426, 51271, 50806, 51113, 55422, 56158, 51886, 50976, 79417, 77871, 51491, 50806, 52614, 51167, 50843, 50980, 52005, 50980, 50446, 51886, 50803, 52614, 57099, 51886, 50802, 68027, 52614, 55422, 50921, 51889, 58133, 52433, 50824, 52614, 50896, 50458, 51889, 50921, 65310, 50806, 51794, 50806, 51301, 55422, 50980, 52684, 51469, 55340, 69097, 53598, 51066, 52614, 56003, 52022, 50806, 51113, 55422, 56925, 51686, 51066, 52614, 56158, 51794, 50806, 51301, 55422, 58648, 51686, 50802, 52614, 52610, 52083, 50802, 68027, 52614, 55422, 57175, 51686, 51072, 52614, 50896, 52563, 50806, 52065, 50806, 51088, 54273, 50980, 50843, 50980, 52507, 51469, 53679, 69097, 51686, 50802, 52614, 52247, 52156, 51352, 58918, 51491, 50806, 52614, 55422, 56158, 52065, 50806, 51251, 55422, 50980, 52005, 56812, 50843, 50921, 51889, 65372, 51889, 50921, 50799, 52065, 50806, 51088, 55422, 50980, 52507, 51469, 54008, 51469, 50426, 51491, 55422, 56158, 52065, 50806, 51251, 55422, 56812, 50843, 50980, 55194, 50806, 79417, 77871, 51491, 54273, 50980, 50843, 50980, 53654, 51469, 52684, 51469, 53679, 51469, 50426, 69364, 51113, 55422, 56158, 51886, 50975, 79417, 77871, 51491, 50806, 52614, 51167, 50843, 50980, 52005, 50980, 50446, 51886, 50803, 52614, 57099, 51886, 50802, 68027, 52614, 55422, 50921, 51889, 58133, 52433, 50824, 52614, 50896, 50458, 51889, 50921, 53534, 50806, 51794, 50806, 51301, 55422, 50980, 52684, 51469, 55340, 69097, 53598, 51066, 52614, 56003, 65609, 51113, 55422, 56925, 51686, 50824, 52614, 56158, 51794, 50806, 51301, 55422, 58648, 51686, 50802, 52614, 52610, 52083, 50802, 68027, 52614, 55422, 57175, 51686, 50824, 52614, 50896, 53400, 50806, 52065, 50806, 51088, 54273, 50980, 50843, 50980, 53278, 52570, 52507, 54089, 54008, 54089, 50420, 51565, 51059, 52203, 51226, 50426, 58337, 51491, 55422, 56158, 52065, 50806, 51251, 55422, 50980, 52005, 56812, 50843, 50921, 51889, 65372, 51889, 50921, 50799, 52065, 50806, 51088, 55422, 56003, 51491, 55422, 56158, 51228, 51196, 52065, 50806, 51251, 55422, 50980, 52684, 68660, 51301, 55422, 50980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2125, 19, 10, 2842, 9, 3495, 6, 42, 2214, 1575, 41, 21979, 8669, 816, 10, 19448, 8, 15352, 30054, 4782, 6, 7630, 14805, 10, 1472, 9, 11926, 8, 20183, 4, 8504, 11, 5, 762, 9, 211, 538, 8, 6780, 10, 1769, 20889, 6, 24, 30853, 19, 10, 33215, 13931, 9, 211, 119, 1176, 406, 6, 163, 119, 6, 274, 10431, 6, 163, 119, 6, 8, 83, 401, 6, 70, 624, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50796, 58402, 63456, 50868, 57847, 51172, 76322, 50988, 72442, 69197, 50868, 58192, 64525, 57230, 63456, 50885, 51253, 50432, 57230, 50868, 57093, 53913, 51042, 51174, 76080, 68386, 50944, 54323, 63299, 50885, 51775, 50456, 63299, 58056, 50847, 51380, 59007, 51058, 50885, 59985, 57437, 64060, 63299, 58056, 50421, 50847, 57630, 80057, 64412, 50979, 57597, 68535, 58876, 63299, 50885, 51775, 50444, 64957, 63299, 58056, 50450, 65671, 58324, 50885, 59985, 55670, 64060, 63299, 58056, 50457, 64957, 50799, 64412, 64803, 50979, 76026, 51380, 50420, 50944, 57588, 50866, 50979, 55544, 50850, 67678, 51481, 74579, 51506, 51309, 51042, 51423, 50444, 51042, 50886, 50979, 50833, 58119, 51506, 51008, 50944, 58175, 50979, 51363, 50946, 51484, 50944, 51025, 78757, 73771, 50799, 63456, 50868, 57847, 51172, 50988, 51253, 76322, 50420, 69197, 50868, 58192, 64525, 57230, 65420, 50988, 51806, 50885, 51253, 50432, 57230, 50868, 57093, 53913, 51042, 51174, 76080, 68386, 50944, 53794, 63299, 50885, 51775, 50456, 64525, 58056, 77643, 58402, 61117, 50885, 59985, 55099, 64060, 63299, 58056, 50421, 50847, 56382, 80057, 73428, 50979, 57597, 68535, 58876, 63299, 50885, 51775, 50444, 62486, 63299, 58056, 50450, 61117, 58324, 50885, 59985, 55670, 64060, 63299, 58056, 50457, 64957, 50799, 64412, 50979, 57349, 51162, 51042, 51380, 50420, 75251, 50979, 55544, 51506, 51766, 50303, 57349, 67678, 73906, 73971, 51506, 51008, 69358, 75905, 50979, 57349, 55125, 56955, 69358, 72591, 50944, 58325, 77467, 75571, 50885, 64739, 50979, 53890, 50868, 51736, 50944, 73835, 73237, 50868, 51380, 50444, 50909, 50812, 51034, 50935, 55729, 50866, 58966, 51217, 51486, 60474, 50866, 70983, 50935, 78804, 70987, 50433, 70987, 60179, 50438, 67561, 50439, 50868, 51481, 50847, 51412, 50444, 50935, 65835, 61311, 51034, 50944, 50924, 51171, 51518, 50420, 57988, 64349, 51736, 50944, 51646, 50868, 51918, 62062, 80054, 66603, 51332, 51346, 50418, 50944, 62270, 50868, 56382, 71046, 51791, 50865, 50430, 62486, 50434, 50850, 52877, 60001, 51217, 51194, 50442, 50944, 57225, 69230, 52552, 50624, 50944, 50940, 51751, 51194, 50423, 51042, 50812, 51034, 50635, 50885, 61195, 50979, 55109, 58326, 50868, 53308, 50944, 52446, 50847, 68247, 50909, 50901, 75571, 70987, 58966, 74797, 51042, 51423, 51217, 51538, 60474, 51203, 50847, 51411, 50935, 51157, 50433, 70987, 60179, 50935, 51116, 50439, 50868, 51481, 50847, 51412, 50444, 50935, 50859, 69827, 50935, 50812, 51171, 51161, 50418, 50909, 53066, 51007, 58218, 50909, 62115, 50935, 52639, 50850, 57943, 50944, 51646, 50868, 51918, 62062, 80054, 66603, 51332, 51215, 50418, 50944, 62270, 50868, 56382, 71046, 51791, 50865, 50430, 50847, 75724, 50850, 57581, 60001, 51217, 50977, 50442, 50944, 57225, 50868, 50836, 57739, 50944, 51624, 50295, 51377, 50424, 51042, 69353, 50885, 51218, 50435, 66484, 50440, 61560, 50445, 50944, 52610, 50847, 64175, 50868, 50813, 54458, 50944, 50991, 50424, 50979, 53881, 50628, 50868, 77198, 58079, 50431, 50979, 59628, 51042, 65859, 50885, 53415, 50634, 50439, 70044, 50443, 51042, 64661, 50988, 62955, 50946, 50897, 50452, 51506, 52955, 50988, 57651, 51217, 50878, 57333, 50415, 51751, 56624, 51217, 55587, 51332, 53184, 51751, 57499, 50630, 51688, 51203, 50428, 51332, 67393, 51751, 60462, 51217, 52262, 51332, 52841, 50626, 51751, 50810, 51688, 51177, 50441, 51332, 54653, 51751, 64661, 51217, 60972, 51332, 53639, 51688, 51194, 50452, 51332, 70566, 51751, 66660, 51217, 80026, 51332, 50867, 50799, 50639, 51688, 51393, 50295, 51178, 50417, 51332, 55650, 51791, 54588, 51332, 57818, 51688, 51393, 50295, 51337, 50429, 51332, 71588, 51791, 55098, 51332, 59983, 51688, 51393, 50295, 51423, 50441, 51791, 56069, 51791, 54672, 51332, 56060, 51688, 51393, 50295, 51423, 50453, 51791, 55735, 51791, 56054, 51332, 51008, 63515, 51751, 50978, 51688, 71423, 51332, 54202, 51791, 54588, 51332, 53906, 51751, 50851, 51688, 54253, 51791, 71588, 51791, 55098, 51332, 55467, 51751, 50851, 51688, 54789, 51791, 56069, 51791, 54672, 51332, 56060, 51751, 50822, 51688, 70842, 51791, 55835, 51791, 56054, 51332, 51008, 57333, 51688, 51177, 50419, 51791, 51518, 50420, 51751, 52151, 50799, 50639, 61983, 50988, 51293, 50426, 50944, 50959, 50431, 50868, 51159, 50437, 57724, 50443, 65998, 50449, 71544, 50799, 50639, 61983, 51688, 51714, 50426, 50944, 50959, 50431, 50868, 51159, 50437, 58856, 50443, 62835, 50449, 71544, 59007, 51108, 61983, 51332, 51714, 50428, 64873, 50431, 50868, 64967, 59082, 58463, 50977, 50449, 50848, 54771, 50868, 50892, 65919, 50848, 58299, 50988, 51939, 50438, 50848, 76630, 50847, 51884, 50909, 51753, 59626, 50885, 51753, 50909, 51852, 50868, 51025, 50425, 50848, 55905, 51380, 50431, 65999, 50435, 75737, 50440, 68069, 50445, 75737, 50448, 61999, 50451, 77111, 50459, 62783, 51034, 50634, 50417, 51042, 58793, 70493, 50424, 63919, 50429, 51217, 51189, 50440, 74571, 64059, 67004, 77543, 51751, 51714, 50428, 50872, 59780, 50979, 58346, 58661, 58463, 51677, 50450, 50988, 51145, 59626, 50431, 51332, 51254, 50988, 51074, 50436, 50946, 51051, 51171, 50978, 50446, 51332, 51254, 50988, 51254, 50452, 51751, 74620, 51079, 50461, 51171, 51359, 65919, 50848, 51391, 65751, 51097, 50427, 50944, 56504, 50868, 54014, 50848, 55322, 51017, 54058, 69358, 50461, 51017, 51381, 51688, 51359, 59007, 51391, 65751, 78804, 50944, 53308, 50868, 54014, 50848, 68711, 51017, 54058, 80057, 57746, 51145, 51332, 51293, 50427, 50944, 53387, 50868, 54014, 50848, 55322, 50988, 51961, 50445, 50885, 54058, 57724, 50847, 68987, 59300, 70984, 67004, 50988, 51363, 79841, 50847, 51679, 51171, 51293, 57189, 51576, 50988, 74048, 79168, 50988, 51448, 50848, 51749, 63515, 64060, 50868, 54243, 50848, 69116, 50885, 58346, 51042, 61255, 50946, 54058, 51042, 55670, 67693, 67004, 72419, 67653, 59847, 53172, 51042, 67772, 50988, 72759, 51217, 51377, 50450, 51217, 71474, 50988, 50873, 59626, 77543, 51751, 51422, 50428, 50872, 59517, 50979, 58346, 59082, 58463, 50987, 50449, 50988, 57197, 50628, 50885, 51380, 51034, 50623, 51007, 75240, 50909, 66089, 51007, 52628, 50909, 58936, 50939, 62782, 50850, 52524, 50847, 67691, 58442, 50429, 50979, 53695, 50848, 59062, 57212, 50436, 51037, 53980, 50946, 59615, 66333, 50442, 51164, 63610, 51751, 65079, 51171, 64072, 51332, 50867, 51034, 50641, 51791, 51359, 51034, 50648, 50424, 50935, 50897, 50436, 69320, 51034, 50645, 51007, 51218, 50946, 52015, 50438, 68386, 51034, 50935, 51003, 50988, 52015, 50426, 65336, 50438, 68205, 51034, 50649, 71537, 51171, 72270, 50847, 56509, 69816, 51034, 76322, 51332, 51803, 50426, 50944, 51267, 50438, 61560, 51034, 73061, 51791, 79642, 50847, 56692, 69350, 51034, 50647, 51217, 51448, 65751, 68106, 50944, 51363, 50438, 70987, 51034, 50647, 50944, 51677, 51751, 51677, 51034, 50650, 51042, 73660, 50935, 56509, 51125, 51255, 51034, 50647, 51007, 51218, 50946, 52015, 50438, 68386, 51034, 50645, 50935, 51003, 50988, 52015, 50426, 72681, 50438, 68205, 51034, 50650, 71537, 51171, 72270, 50847, 56509, 69816, 51034, 76322, 51332, 51803, 50426, 50944, 51267, 50438, 61560, 51034, 73061, 51791, 51790, 50426, 50847, 56692, 50850, 51411, 51034, 50649, 79605, 51217, 51742, 50426, 50944, 72652, 50868, 51025, 51034, 73061, 51751, 78046, 50847, 59290, 69350 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 7212, 20889, 6, 4246, 3459, 8669, 6, 13305, 6, 3459, 9590, 6, 20535, 483, 6, 8, 21979, 8669, 4, 20, 1349, 34, 10, 2365, 8, 1372, 16464, 6, 442, 24, 10686, 13, 3618, 930, 4, 85, 18, 11, 5, 762, 9, 272, 3694, 8, 204, 73, 306, 86, 6543, 6, 19, 10, 5705, 16331, 33215, 16739, 9, 230, 406, 8, 272, 119, 406, 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 ]	[ 57739, 72412, 50836, 51231, 50840, 54041, 53345, 54016, 53070, 51231, 50840, 52690, 64653, 52373, 54604, 50801, 53087, 52690, 50809, 65652, 54041, 52764, 54016, 54974, 51587, 53196, 50913, 51693, 50435, 51231, 50967, 52690, 51110, 50903, 52958, 54041, 51060, 51577, 51459, 52535, 53027, 52219, 50875, 55686, 51587, 50829, 51382, 53353, 55170, 53563, 51587, 52532, 56232, 50903, 50908, 66268, 50840, 52690, 50887, 54041, 53672, 54016, 56231, 51231, 50813, 52690, 50855, 54041, 54878, 50913, 50364, 51459, 53868, 51231, 50840, 52690, 53243, 50961, 51302, 54016, 56609, 52690, 50836, 51231, 50809, 54041, 56420, 53031, 50913, 59817, 52690, 51346, 51231, 51345, 50903, 55379, 54041, 51073, 52219, 51459, 52532, 53384, 50801, 52245, 55686, 51587, 52802, 54768, 54016, 53555, 51587, 52535, 59506, 50903, 50928, 76056, 52149, 61254, 52690, 52121, 51410, 51183, 51303, 51127, 51231, 51127, 51414, 51047, 53310, 51677, 57605, 51518, 54222, 51422, 54041, 51677, 51577, 50875, 53405, 52018, 50911, 51587, 52543, 51129, 61640, 53087, 50953, 50962, 56148, 54371, 54016, 57265, 51587, 59278, 54997, 62118, 60357, 50913, 58721, 50903, 53115, 74511, 54677, 50873, 52219, 51459, 52543, 63938, 54997, 55200, 75825, 51231, 51003, 51410, 51003, 51249, 50873, 52404, 50875, 50908, 52612, 61988, 58145, 54677, 65295, 74511, 51414, 51100, 54768, 53099, 53553, 65343, 54491, 51127, 51587, 52535, 69054, 50903, 50908, 52563, 50894, 51231, 50977, 51327, 50977, 51410, 50866, 53310, 51134, 54041, 51351, 57977, 50914, 54222, 51351, 52219, 50875, 53405, 77375, 51231, 51177, 51327, 51121, 51410, 51100, 50913, 50366, 51459, 54104, 50801, 53087, 50953, 56460, 54538, 55212, 51587, 52818, 77375, 51231, 51121, 51327, 51121, 51410, 51121, 54677, 51218, 50913, 59817, 50903, 54203, 74511, 53310, 51003, 57605, 50914, 54222, 51056, 54041, 51003, 52404, 51459, 52535, 53325, 61674, 51414, 51178, 51410, 51124, 51231, 51124, 52219, 50875, 60571, 50964, 52997, 57423, 52802, 78153, 58706, 52502, 54059, 59674, 51587, 52532, 60078, 50903, 50908, 53870, 51500, 51687, 51397, 51414, 51562, 52303, 51397, 51231, 51417, 54551, 50981, 54041, 51003, 57605, 50943, 60602, 70539, 54715, 54031, 51587, 52373, 58362, 50801, 53087, 51105, 51014, 54251, 64390, 54016, 54974, 51587, 52953, 54491, 51177, 50913, 78592, 50903, 53569, 50927, 51566, 51231, 50866, 51327, 50866, 51410, 50938, 51414, 50866, 53789, 51351, 57605, 51391, 54222, 51241, 54041, 51351, 51587, 52373, 54715, 59901, 54677, 55945, 51327, 50977, 51231, 50901, 51414, 50845, 51410, 50849, 54997, 50892, 52219, 50875, 51004, 52612, 58064, 52802, 68318, 54677, 51101, 54768, 53353, 53556, 51410, 51233, 51414, 51101, 51231, 51177, 51327, 51121, 54997, 51047, 51587, 52532, 60078, 50903, 50982, 52534, 51500, 54551, 50943, 57605, 50914, 54041, 51159, 53789, 51003, 52219, 50875, 53405, 51414, 51101, 51476, 51242, 51231, 51101, 51687, 51121, 51587, 52535, 58362, 50801, 55800, 50964, 58665, 54839, 55212, 51587, 52818, 58623, 51231, 51177, 51414, 51101, 51476, 51101, 51687, 51043, 56148, 77227, 58721, 50903, 52958, 50945, 50930, 54222, 51351, 53138, 51241, 53789, 51191, 53310, 51241, 52404, 51459, 52535, 53325, 50945, 51021, 51249, 51194, 51231, 51178, 51476, 51233, 51687, 51233, 50913, 60600, 50884, 52612, 57305, 52772, 50945, 53540, 54839, 54405, 54450, 51213, 51021, 51687, 50878, 51476, 50854, 51249, 50925, 51231, 50910, 51587, 52532, 68430, 50903, 50982, 76056, 52149, 50953, 50962, 51231, 51047, 51303, 51183, 51414, 51103, 51410, 51314, 52690, 52337, 57605, 51518, 53310, 51422, 54222, 51692, 54041, 51538, 50913, 55170, 53336, 61254, 50913, 50366, 51459, 54316, 50801, 53087, 52018, 50950, 56148, 64390, 53078, 56609, 51587, 59651, 54997, 62118, 50953, 51033, 71817, 50435, 50903, 52904, 50953, 50962, 54677, 65151, 54390, 59520, 58780, 54997, 73971, 50953, 51033, 51410, 50914, 51231, 51003, 51249, 58679, 52245, 56377, 51587, 54617, 52725, 50953, 50962, 51414, 51110, 54677, 51101, 58046, 53099, 53555, 70802, 54491, 51183, 50913, 50365, 51459, 54991, 50903, 50928, 52563, 50894, 51231, 50866, 51327, 50937, 51410, 50977, 53310, 51351, 57977, 51241, 54222, 51134, 54041, 51134, 52219, 50875, 57226, 52018, 68360, 51231, 50901, 51327, 50901, 51410, 50865, 51587, 52543, 64634, 50953, 53703, 53087, 52018, 77048, 54835, 55212, 51587, 59278, 54677, 66312, 50953, 51192, 51231, 51177, 51327, 50873, 51410, 68747, 58721, 50903, 52958, 66854, 57605, 51003, 53310, 50915, 54222, 51003, 54041, 51003, 52219, 51459, 52535, 53858, 67910, 51410, 51110, 51414, 51121, 51231, 51100, 52219, 50875, 51004, 52612, 58250, 52802, 50945, 53540, 55401, 53479, 56883, 51105, 52935, 69078, 51587, 52532, 59506, 50903, 50891, 53870, 51090, 51414, 51417, 52303, 51562, 51687, 51448, 51231, 51413, 54551, 50981, 60602, 50915, 54041, 50943, 57605, 50915, 52219, 50875, 53420, 51587, 52535, 51258, 61640, 80148, 54251, 66010, 51105, 56460, 54839, 58288, 51587, 60741, 54491, 62118, 50913, 55762, 50903, 50928, 53758, 51500, 51231, 50866, 51414, 50866, 51410, 50987, 51327, 50942, 54677, 50845, 53789, 51351, 57605, 51003, 54222, 51003, 54041, 51351, 51587, 54109, 53099, 53384, 51410, 51177, 51414, 50845, 51231, 50845, 51327, 50917, 54997, 51242, 50913, 62010, 50846, 52612, 57423, 52772, 50927, 51090, 54677, 51177, 52219, 50875, 54835, 53650, 51327, 51101, 51410, 51177, 51231, 51101, 51414, 51101, 54997, 51183, 50913, 50362, 51459, 54991, 50903, 50908, 52534, 51500, 54551, 51003, 57605, 51025, 53789, 50981, 54041, 51400, 50913, 55401, 54031, 51476, 51043, 51231, 51110, 51414, 51194, 51687, 51110, 51587, 52535, 55375, 50801, 53087, 50964, 56460, 54538, 58288, 51587, 52953, 58918, 51414, 51101, 51231, 51177, 51476, 51212, 51687, 51043, 56148, 51477, 50913, 59817, 50903, 53115, 66586, 53138, 51419, 54222, 51419, 53310, 51391, 53789, 51351, 52404, 51459, 52535, 53325, 66586, 51231, 51178, 51249, 51178, 51476, 51233, 51687, 51194, 50913, 60600, 50884, 52612, 57301, 52772, 50945, 54092, 53078, 55170, 54450, 51231, 50917, 51249, 50937, 51476, 51151, 51687, 50977, 51587, 52703, 59506, 50964, 62746, 50908, 66629, 51803, 52027, 51452, 51773, 51803, 51434, 51803, 65059, 51687, 51359, 51231, 51353, 51414, 51353, 54041, 51790, 54551, 51675, 57605, 51675, 53789, 51452, 52219, 50875, 53420, 50964, 54976, 50364, 51459, 54316, 50801, 50883, 51302, 54016, 57265, 51587, 53063, 50913, 58721, 50964, 66261, 52958, 61499, 51577, 50875, 58586, 52986, 50927, 51286, 51067, 51388, 50913, 71073, 50884, 52612, 57305, 53057, 63046, 57329, 53078, 61733, 51064, 51552, 50456, 72488, 51587, 52532, 59506, 50903, 57015, 51607, 51742, 52327, 51803, 51515, 51803, 73471, 51742, 63063, 51231, 51151, 51687, 51359, 51476, 51353, 51249, 51264, 54551, 51452, 54222, 51422, 53138, 51742, 53789, 51452, 52219, 50875, 53405, 63063, 50913, 50366, 51459, 54104, 50801, 53087, 50945, 54627, 53353, 57265, 51587, 53063, 50913, 59817, 50929, 70693, 53115, 50945, 57793, 56926, 63292, 54704, 50929, 57816, 52404, 50875, 56377, 57566, 51587, 54617, 53057, 50945, 55024, 53479, 53099, 56782, 50929, 59727, 50945, 64678, 52535, 69054, 64962, 50903, 50908, 50799, 52603, 51047, 52257, 51183, 51773, 51047, 51434, 51080, 65059, 51231, 51353, 51414, 51307, 51476, 51307, 51687, 51655, 54551 ]
[ 0, 713, 20902, 5175, 15229, 16, 10, 8787, 2125, 14, 1931, 21683, 10, 32076, 8, 20425, 16464, 6, 1969, 13, 6548, 4, 590, 10, 1769, 20889, 9, 8325, 13410, 228, 2289, 8, 278, 11, 5, 762, 9, 272, 538, 6, 24, 1575, 10, 11577, 11739, 9, 20535, 2810, 6, 2724, 368, 31365, 25999, 6, 33704, 5675, 22052, 6, 3459, 9590, 6, 8, 21072, 4, 20, 15352, 30054, 3251, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 211, 6, 163, 119, 6, 83, 6, 272, 6, 8, 163, 119, 6, 1271, 7, 63, 13363, 28191, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50796, 52288, 50938, 51223, 53632, 50938, 51206, 50952, 52383, 59240, 51195, 53111, 51000, 52383, 54657, 51271, 50809, 51195, 57396, 51000, 52383, 56133, 70909, 52383, 53383, 56735, 51195, 53690, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50836, 51195, 55603, 50971, 52383, 56579, 77775, 52383, 50857, 53758, 66373, 53590, 55744, 50827, 52383, 58545, 51223, 50862, 51960, 52383, 54305, 51271, 50836, 51195, 55702, 50971, 52383, 56518, 52383, 54086, 56735, 51262, 57468, 58895, 52808, 50984, 52383, 50857, 51647, 50941, 52383, 54199, 51271, 50809, 51195, 61484, 50941, 52383, 57400, 52383, 50857, 52288, 50805, 51223, 53303, 56022, 50827, 52383, 59240, 67250, 51983, 52383, 54657, 51271, 50836, 51195, 56192, 51000, 52383, 56133, 51223, 50857, 52383, 53383, 56735, 51195, 52259, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50836, 51195, 52672, 50971, 52383, 56579, 67569, 52383, 50857, 53758, 50849, 51265, 52972, 55744, 50827, 52383, 58545, 69710, 51960, 52383, 54305, 51271, 50840, 51425, 52716, 50971, 52383, 56518, 52383, 54086, 55564, 51262, 54070, 58895, 52808, 50984, 52383, 50857, 51647, 50941, 52383, 54199, 51271, 50836, 51195, 61600, 50941, 52383, 57400, 52383, 50857, 52288, 50795, 51223, 53632, 56022, 50827, 52383, 59240, 77589, 51983, 52383, 54657, 51271, 50840, 51195, 57396, 51000, 52383, 56133, 70909, 52383, 53383, 56735, 51195, 53690, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50840, 51195, 55603, 50971, 52383, 56579, 77775, 52383, 50857, 53758, 50795, 51195, 53590, 55744, 50827, 52383, 58545, 51223, 50862, 51960, 52383, 54305, 51271, 50809, 51195, 55702, 50971, 52383, 56518, 52383, 54086, 56735, 51262, 57468, 58895, 52808, 50984, 52383, 50857, 51647, 50941, 52383, 54199, 51271, 50840, 51195, 61484, 50941, 52383, 57400, 52383, 50857, 52288, 50805, 51223, 53303, 56022, 50827, 52383, 59240, 67250, 51983, 52383, 54657, 51271, 50840, 51195, 56192, 51000, 52383, 56133, 51223, 50857, 52383, 53383, 50927, 66373, 52259, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50840, 51195, 52672, 50971, 52383, 56579, 67569, 52383, 50857, 53758, 50805, 51265, 50812, 52103, 50840, 51713, 50840, 51978, 53351, 55744, 50827, 52383, 58545, 69710, 52103, 50862, 51713, 50862, 51978, 51559, 50870, 52383, 54305, 51271, 50840, 51425, 50809, 52719, 50855, 51648, 50855, 52228, 56192, 50971, 52383, 56518, 52664, 50862, 51683, 50862, 52394, 50813, 52383, 54086, 70296, 51262, 50865, 55912, 50840, 51913, 50808, 53880, 53351, 58895, 52808, 50984, 52383, 57168, 55912, 50813, 51913, 50813, 53880, 53111, 50941, 52383, 54199, 51271, 50836, 51195, 50942, 55282, 50855, 51963, 50855, 54512, 56192, 50941, 52383, 57400, 55865, 50836, 52103, 50836, 56478, 50855, 52383, 50857, 52288, 50938, 51223, 50833, 52719, 50840, 51648, 50840, 52228, 53351, 56022, 50827, 52383, 59240, 77589, 52719, 50862, 51648, 50862, 52228, 78051, 52383, 54657, 51271, 50809, 51195, 50854, 52664, 50846, 51683, 50840, 52394, 53708, 51000, 52383, 56133, 70909, 52719, 50840, 51648, 50808, 52228, 50836, 52383, 53383, 56735, 51195, 53690, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50836, 51195, 55603, 50971, 52383, 56579, 77775, 52383, 50857, 53758, 66373, 53590, 55744, 50827, 52383, 58545, 51223, 50862, 51960, 52383, 54305, 51271, 50836, 51195, 55702, 50971, 52383, 56518, 52383, 54004, 56735, 51262, 57468, 58895, 52808, 50984, 52383, 50857, 51647, 50941, 52383, 54199, 51271, 50809, 51195, 61484, 50941, 52383, 57400, 52383, 50857, 52288, 50805, 51223, 53303, 56022, 50827, 52383, 59240, 67250, 51983, 52383, 54657, 51271, 50836, 51195, 56192, 51000, 52383, 56133, 51223, 50857, 52383, 53383, 56735, 51195, 52259, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50836, 51195, 52672, 50971, 52383, 56579, 67569, 52383, 50857, 53758, 50849, 51265, 52972, 55744, 50827, 52383, 58545, 69710, 51960, 52383, 54305, 51271, 50840, 51425, 52716, 50971, 52383, 56518, 52383, 54086, 55564, 51262, 54070, 58895, 52808, 50984, 52383, 50857, 51647, 50941, 52383, 54199, 51271, 50836, 51195, 61600, 50941, 52383, 57400, 52383, 50857, 52288, 50795, 51223, 53632, 56022, 50827, 52383, 59240, 77589, 51983, 52383, 54657, 51271, 50840, 51195, 57396, 51000, 52383, 56133, 70909, 52383, 53383, 56735, 51195, 53690, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50840, 51195, 55603, 50971, 52383, 56579, 77775, 52383, 50857, 53758, 50795, 51195, 53590, 55744, 50827, 52383, 58545, 51223, 50862, 51960, 52383, 54305, 51271, 50809, 51195, 55702, 50971, 52383, 56518, 52383, 54086, 56735, 51262, 57468, 58895, 52808, 50984, 52383, 50857, 51647, 50941, 52383, 54199, 51271, 50840, 51195, 61484, 50941, 52383, 57400, 52383, 50857, 52288, 50805, 51223, 53303, 56022, 50827, 52383, 59240, 67250, 51983, 52383, 54657, 51271, 50840, 51195, 56192, 51000, 52383, 56133, 51223, 50857, 52383, 53383, 50927, 66373, 52259, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50840, 51195, 52672, 50971, 52383, 56579, 67569, 52383, 50857, 53758, 50805, 51265, 50812, 52719, 50820, 51648, 50813, 52228, 54534, 55744, 50827, 52383, 58545, 69710, 52719, 50857, 51648, 50813, 52228, 50867, 51960, 52383, 54305, 51271, 50840, 51425, 50809, 52664, 50813, 51683, 50813, 52394, 56768, 50971, 52383, 56518, 52719, 50813, 51648, 50813, 52228, 50857, 52383, 54086, 70296, 51262, 50865, 52103, 50855, 51713, 50855, 51978, 53630, 58895, 52808, 50984, 52383, 57168, 51963, 50813, 51776, 50813, 51979, 53111, 50941, 52383, 54199, 51271, 50836, 51195, 50942, 51913, 50855, 52002, 50855, 52172, 55071, 50839, 52383, 57400, 51683, 50855, 52306, 50855, 52380, 55071, 50855, 52383, 50857, 52563, 50805, 52479, 50805, 51648, 50840, 52991, 50808, 52833, 53351, 50938, 51206, 50952, 53207, 50857, 51839, 50805, 51402, 51000, 53207, 54657, 52018, 55702, 51000, 53207, 65643, 52408, 50955, 51323, 66401, 53207, 53383, 50953, 53834, 50938, 51068, 56867, 64532, 50984, 53207, 63829, 52412, 50959, 51245, 50959, 51532, 50863, 53207, 53705, 52018, 55153, 50971, 53207, 65312, 53638, 50886, 51404, 56524, 53207, 63120, 52412, 51003, 51245, 51003, 55208, 53834, 55744, 50827, 53207, 50857, 51572, 50870, 53207, 54305, 52018, 55702, 50971, 53207, 56518, 53207, 54086, 50953, 53834, 69198, 56867, 52808, 50984, 53207, 50857, 51647, 50941, 53207, 54199, 52018, 55153, 50941, 53207, 57400, 53207, 50857, 52354, 51654, 56022, 50827, 52595, 50857, 51402, 50891, 52595, 54657, 51720, 55702, 51000, 52595, 56133, 52595, 53383, 50945, 60665, 50938, 51068, 56867, 64532, 50984, 52595, 50857, 51532, 50863, 52595, 53705, 51720, 50855, 52412, 54791, 50971, 52595, 50857, 51245, 54112, 52595, 53891, 50964, 53834, 55744, 50827, 52042, 64643, 52479, 51121, 51839, 51121, 51572, 50870, 52042, 54305, 51133, 55702, 50971, 52042, 56518, 52479, 50942, 52042, 50857, 51839, 58332, 50964, 51654, 69198, 56867, 52808, 50984, 52042, 50857, 51647, 50941, 52042, 54199, 51133, 55153, 50941, 52042, 57400, 52042, 50857, 52563, 50795, 52479, 60665, 56022, 50827, 53207, 50857, 51839, 51100, 51402, 50891, 53207, 54657, 52018, 52716, 51000, 53207, 65643, 52408, 50878, 51323, 60988 ]
[ 0, 4688, 5175, 25771, 2214, 19, 10, 6548, 8, 980, 16464, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21072, 6, 20535, 483, 6, 8, 38668, 22052, 4, 20, 15352, 30054, 15229, 16, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 13955, 741, 1685, 6, 24826, 198, 5, 33215, 16739, 9, 230, 6, 1918, 6, 211, 119, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50799, 54543, 54874, 77459, 54517, 65173, 54543, 52580, 54517, 54965, 57881, 54543, 63163, 54517, 56180, 54543, 53877, 74173, 54517, 62407, 54543, 54385, 54517, 54965, 57109, 54543, 63105, 54517, 50851, 50799, 54543, 54874, 51031, 50418, 54517, 64987, 54543, 53881, 54517, 54965, 63519, 54543, 63221, 54517, 52788, 54543, 54874, 74173, 54517, 62182, 54543, 54385, 54517, 54965, 57109, 54543, 63105, 54517, 50874, 50799, 54543, 54874, 77459, 54517, 65173, 54543, 52580, 54517, 54965, 57318, 54543, 63163, 54517, 56180, 54543, 53877, 63895, 54517, 62407, 54543, 54385, 54517, 54965, 57109, 54543, 63105, 54517, 50851, 50799, 54543, 54874, 68316, 54517, 64987, 54543, 53881, 54517, 54965, 63519, 54543, 63221, 54517, 52788, 54543, 54874, 73431, 54517, 62182, 54543, 54385, 54517, 54965, 61376, 54543, 63105, 54517, 50874, 50799, 54543, 51051, 51887, 50878, 51154, 50933, 52088, 51033, 51821, 52096, 51701, 52121, 50801, 77459, 54517, 50933, 51699, 50955, 51088, 50933, 51813, 75249, 54543, 51142, 51883, 51293, 51113, 51449, 51855, 53939, 54517, 50933, 51855, 52420, 57881, 54543, 71484, 54517, 56180, 54543, 51210, 51249, 51267, 50801, 64916, 51303, 51109, 51327, 50914, 50442, 54517, 51051, 50446, 54543, 62911, 54517, 59743, 57109, 54543, 50907, 52088, 67516, 54517, 50933, 51813, 50921, 50799, 54543, 51142, 51855, 53703, 51031, 50418, 54517, 51210, 51855, 50962, 50422, 54543, 51142, 51855, 61177, 54517, 50933, 51638, 51101, 51165, 51328, 52077, 78708, 63519, 54543, 76969, 54517, 51051, 51883, 51419, 51113, 51679, 51855, 56341, 54543, 51210, 51855, 55461, 74173, 54517, 51051, 51855, 70040, 54543, 51142, 51855, 57099, 54517, 51006, 51638, 50925, 51165, 50959, 52077, 61487, 57109, 54543, 50984, 51883, 51008, 51113, 51210, 51855, 71208, 54517, 51142, 51699, 50959, 51088, 51142, 51813, 50940, 50799, 54882, 50812, 51887, 50925, 51154, 50959, 52088, 51045, 50801, 77459, 54245, 51051, 51699, 50959, 51088, 51142, 51813, 70838, 54882, 50878, 51883, 51151, 51113, 51243, 51855, 54631, 54245, 50959, 51855, 51460, 50804, 57318, 54882, 63125, 54245, 58450, 54882, 50933, 51457, 50915, 51303, 51253, 50801, 59575, 51249, 51109, 50442, 54245, 63251, 54882, 58175, 54245, 54566, 57109, 54882, 50955, 52088, 75183, 54245, 50955, 51813, 51033, 50799, 54882, 50955, 51855, 54452, 68316, 54245, 50878, 51855, 69079, 54882, 50955, 51855, 61177, 54245, 50955, 51638, 51194, 51165, 51423, 52077, 74050, 63519, 54882, 62743, 54245, 50987, 51883, 51381, 51113, 52256, 51855, 55734, 54882, 50925, 51855, 55024, 73431, 54245, 50955, 51855, 69225, 54882, 50955, 51855, 61326, 54245, 51008, 51638, 50878, 51165, 51008, 52077, 58971, 61376, 54882, 50959, 51883, 50955, 51113, 51051, 51855, 72870, 54245, 50955, 51699, 51423, 51088, 52059, 51813, 50882, 50799, 56259, 50897, 51813, 50821, 51678, 51717, 52072, 51717, 50801, 77459, 59042, 51051, 51883, 50878, 51113, 51008, 51855, 70838, 56259, 50955, 51638, 51151, 51165, 51445, 52077, 56519, 59042, 50955, 52077, 74050, 57881, 56259, 61172, 59042, 60676, 56259, 50955, 51457, 51097, 51414, 51003, 51231, 67294, 74173, 59042, 67139, 56259, 58238, 59042, 60146, 57109, 56259, 50959, 52077, 79618, 59042, 50955, 52077, 50803, 50799, 56259, 50854, 52077, 52651, 51031, 50418, 59042, 50959, 52077, 58026, 56259, 50810, 52077, 66037, 59042, 50810, 51299, 51233, 51093, 51309, 51882, 74050, 63519, 56259, 61782, 59042, 50959, 51638, 51542, 51165, 52256, 52077, 57174, 56259, 50878, 52077, 55572, 74173, 59042, 50959, 52077, 79942, 56259, 50959, 52077, 68280, 59042, 50955, 51299, 50878, 51093, 51008, 51882, 62567, 57109, 56259, 50959, 51638, 50955, 51165, 50933, 52077, 75183, 59042, 51008, 51883, 50959, 51113, 51051, 51855, 51033, 50799, 54918, 50925, 51699, 51008, 51088, 51142, 51813, 51033, 51716, 52121, 50801, 77459, 54904, 51051, 51883, 50955, 51113, 51051, 51855, 51014, 50422, 54918, 50955, 51638, 52071, 51165, 52062, 52077, 56519, 54904, 50955, 52077, 51603, 50804, 57318, 54918, 63125, 54904, 55467, 54918, 50878, 51818, 50943, 51231, 50981, 51327, 61725, 63895, 54904, 63251, 54918, 54276, 54904, 53887, 57109, 54918, 63105, 54904, 50955, 50799, 54918, 50810, 51699, 50978, 51088, 51006, 51813, 58630, 68316, 54904, 50955, 51883, 50955, 51113, 50959, 51855, 70838, 54918, 50844, 51638, 51397, 51165, 50955, 52077, 56519, 54904, 50810, 51088, 50925, 52077, 60005, 63519, 54918, 50822, 51113, 64160, 54904, 50955, 51165, 78259, 54918, 53095, 73431, 54904, 50959, 51093, 62928, 54918, 50810, 51107, 58460, 54904, 50844, 51266, 57990, 61376, 54918, 50844, 51201, 61997, 54904, 50833, 51182, 50942, 50799, 54543, 50878, 51887, 51008, 51201, 51008, 52088, 51045, 51249, 51423, 51327, 51233, 51821, 52096, 51701, 52121, 52321, 57666, 51825, 51423, 50418, 54517, 50878, 51699, 51008, 51182, 51008, 51813, 62864, 52707, 51693, 50422, 54543, 50955, 51883, 51243, 51284, 51243, 51855, 51010, 56457, 54517, 50942, 51855, 56421, 53759, 52535, 75662, 54543, 51589, 56512, 54517, 60330, 52707, 64235, 54543, 50959, 51825, 51006, 52287, 51121, 52453, 57927, 53171, 51400, 50442, 54517, 60330, 52373, 51258, 50446, 54543, 51008, 59207, 54517, 57990, 52942, 52532, 65496, 54543, 50822, 52088, 50894, 51471, 50458, 54517, 50878, 51813, 69022, 52694, 50982, 50799, 54543, 50955, 51855, 50894, 52287, 50892, 53171, 50892, 53358, 57666, 56074, 51101, 50418, 54517, 50959, 51855, 56175, 52373, 51693, 50422, 54543, 50959, 51855, 51014, 66200, 52611, 50426, 54517, 50878, 51638, 50995, 51394, 50995, 52077, 51505, 50804, 53843, 52532, 51258, 50430, 54543, 50822, 74909, 54517, 50878, 51855, 56332, 52543, 64235, 54543, 51008, 51883, 50932, 51284, 50932, 51855, 55461, 51130, 59954, 54517, 50878, 51855, 54429, 56892, 54543, 50959, 51855, 51033, 56890, 54517, 50977, 51638, 50955, 51394, 50955, 52077, 61487, 52942, 52532, 51129, 50454, 54543, 50827, 51883, 51142, 51284, 51142, 51855, 51033, 51471, 50458, 54517, 50955, 51699, 51051, 51182, 51051, 51813, 63556, 52300, 50982, 50799, 54882, 50812, 51887, 50878, 51201, 50878, 52088, 51014, 51825, 51423, 52321, 55376, 51249, 51423, 51457, 51233, 50418, 54245, 51051, 51699, 51051, 51182, 51051, 51813, 54429, 52543, 69917, 54882, 50878, 51883, 51445, 51284, 51445, 51855, 50894, 56457, 54245, 50959, 51855, 51427, 50804, 54357, 52532, 75662, 54882, 50955, 74909, 54245, 60225, 52373, 58930, 54882, 50933, 51897, 52532, 51258, 50439, 51825, 51006, 52287, 51121, 54310, 51400, 50442, 54245, 60225, 52543, 51258, 50446, 54882, 51008, 63678, 52445, 50450, 54245, 54566, 52942, 52535, 51693, 50454, 54882, 50955, 52088, 51033, 51471, 50458, 54245, 50955, 51813, 69022, 52543, 51258, 50799, 54882, 50955, 51855, 50930, 52287, 50892, 56074, 51101, 52166, 57666, 54310, 50892, 50418, 54245, 50878, 51855, 56332, 58659, 54882, 50955, 51855, 51033, 60454, 54245, 50955, 51638, 50995, 51394, 50995, 52077, 64230, 53843, 52532, 51258, 50430, 54882, 51008, 66200, 79302, 54245, 50987, 51855, 54429, 52543, 55379, 54882, 50925, 51883, 51330, 51284, 51330, 51855, 53703, 51139, 52543, 51129, 50442, 54245, 50955, 51855, 54429, 57728, 54882, 50955, 51855, 51033, 66200, 53421, 54245, 51008, 51638, 50959, 51394, 50959, 52077, 58971, 53843, 59753, 54882, 50959, 51883, 50933, 51284, 50933, 51855, 51033, 66200 ]
[ 0, 250, 19448, 8, 5679, 26709, 5175, 25771, 2214, 11, 381, 538, 6, 4246, 10, 11739, 9, 30587, 8, 81, 9756, 29589, 6, 13305, 6, 6755, 12547, 6, 8, 31391, 1672, 9590, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 5663, 13410, 228, 2289, 6, 2351, 10, 23975, 8, 15352, 30054, 5466, 4, 20, 33215, 16739, 9, 381, 6, 230, 10431, 119, 406, 6, 1918, 1176, 406, 6, 274, 10431, 119, 6, 8, 163, 3639, 7, 5, 2214, 18, 33558, 8, 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 ]	[ 57211, 50799, 52326, 51359, 55390, 51359, 52102, 53380, 51465, 53380, 51249, 53380, 51349, 54153, 52095, 51367, 56884, 61252, 50754, 50305, 61845, 57236, 76135, 50952, 51065, 54951, 58600, 50879, 50947, 56053, 57395, 51065, 57845, 50754, 50305, 61845, 57617, 76135, 50952, 51065, 55799, 72242, 50879, 51169, 51048, 50856, 57481, 51065, 57502, 50754, 50305, 61845, 57278, 76135, 68258, 55721, 58600, 50879, 50947, 50918, 50856, 56663, 51065, 58207, 50754, 50305, 61845, 58210, 76135, 50952, 51065, 56047, 58600, 61845, 51258, 50799, 72242, 68258, 61252, 50754, 50305, 55768, 57236, 76135, 50952, 51065, 54951, 58600, 51158, 50947, 51048, 50856, 57395, 51065, 57845, 50754, 50305, 55768, 57617, 76135, 50952, 51065, 55799, 72242, 50879, 51169, 51048, 50856, 57481, 51065, 57502, 50754, 50305, 61845, 57278, 76135, 68258, 55721, 58600, 50879, 50947, 78886, 56663, 51349, 51159, 51065, 58207, 50754, 50305, 61845, 58210, 76135, 68258, 56047, 58600, 55855, 53612, 51258, 50799, 65047, 52821, 55349, 52821, 52102, 52821, 51465, 52821, 51249, 52821, 51640, 54153, 52095, 51202, 61252, 50754, 50305, 55768, 57236, 76135, 68258, 54951, 58600, 51158, 50947, 51048, 50856, 57395, 51065, 57845, 50754, 50305, 61845, 57617, 76135, 50952, 51065, 55799, 72242, 50879, 51169, 56053, 57481, 51065, 57502, 50754, 50305, 55768, 57278, 76135, 68258, 55721, 58600, 50879, 50947, 78886, 56663, 51065, 58207, 50754, 50305, 61845, 58210, 76135, 50952, 51065, 56047, 58600, 61845, 51258, 50799, 72242, 50952, 51065, 61252, 50754, 50305, 55768, 57236, 76135, 50952, 51065, 54951, 58600, 50879, 50947, 51048, 50856, 57395, 51065, 57845, 50754, 50305, 55768, 57617, 76135, 68258, 55799, 72242, 50879, 51169, 51048, 50856, 57481, 51065, 57502, 50754, 50305, 61845, 57278, 76135, 68258, 55721, 58600, 50879, 50947, 78886, 56663, 51640, 72807, 58207, 50754, 50305, 61845, 58210, 76135, 68258, 56047, 58600, 61468, 53612, 51258, 50799, 66417, 50943, 51410, 50943, 51719, 50943, 51249, 50943, 53655, 50943, 51181, 54153, 52095, 51202, 61252, 67968, 55768, 57236, 76135, 68258, 54951, 58600, 50879, 50947, 56053, 57395, 51065, 57845, 67968, 55768, 57617, 76135, 68258, 55799, 72242, 50879, 51169, 51048, 50856, 57481, 51065, 57502, 67968, 55768, 57278, 76135, 68258, 55721, 58600, 51158, 50947, 51091, 50856, 56663, 51065, 58207, 67968, 55768, 58210, 76135, 68258, 56047, 58600, 51158, 50856, 51258, 66790, 61252, 67968, 55768, 57236, 76135, 68258, 54951, 58600, 50879, 50947, 56053, 57395, 51065, 57845, 67968, 55768, 57617, 76135, 68258, 55799, 72242, 50879, 51169, 56053, 57481, 51065, 57502, 67968, 55768, 57278, 76135, 68258, 55721, 58600, 50879, 50947, 51091, 50856, 56663, 51181, 72807, 58207, 67968, 55768, 58210, 76135, 68258, 56047, 58600, 59155, 53612, 51258, 50799, 50655, 50279, 51218, 57081, 51218, 51410, 51417, 51719, 51417, 51249, 51417, 52571, 51417, 51857, 51894, 52095, 51202, 61252, 67968, 55768, 57236, 76135, 68672, 54951, 75798, 50879, 50947, 50991, 50856, 57395, 51065, 57845, 67968, 55768, 57617, 76135, 68672, 55799, 73041, 51158, 51076, 78886, 57481, 51065, 57502, 67968, 61845, 57278, 76135, 68258, 55721, 75798, 56473, 56663, 51065, 58207, 73041, 55768, 58210, 50754, 50310, 68672, 56047, 51857, 50836, 67968, 61845, 51258, 76675, 51127, 54369, 51359, 52571, 51359, 51465, 51359, 66165, 51359, 51374, 51307, 51065, 61252, 67968, 61845, 57236, 76135, 68258, 54951, 75798, 50879, 51316, 51112, 50856, 57395, 51065, 57845, 67968, 61845, 57617, 76135, 68258, 55799, 73041, 51158, 51076, 51048, 50856, 57481, 51651, 51127, 51065, 57502, 67968, 50879, 51065, 62971, 50856, 57278, 76135, 68672, 55721, 75798, 51158, 51316, 53872, 57855, 50856, 56663, 51065, 58207, 73041, 50859, 51076, 53521, 61733, 50856, 58210, 50754, 50310, 50859, 51078, 53521, 56047, 76135, 50887, 50998, 52218, 53612, 50363, 51202, 50891, 50799, 52326, 51359, 55390, 51359, 52102, 53380, 51465, 53380, 51249, 53380, 51349, 54153, 52095, 52281, 57086, 61252, 50754, 50305, 61845, 57236, 76135, 50952, 51065, 54951, 58600, 50879, 50947, 56053, 57395, 51065, 57845, 50754, 50305, 61845, 57617, 76135, 50952, 51065, 55799, 72242, 50879, 51169, 51048, 50856, 57481, 51065, 57502, 50754, 50305, 61845, 57278, 76135, 68258, 55721, 58600, 50879, 50947, 50918, 50856, 56663, 51065, 58207, 50754, 50305, 61845, 58210, 76135, 50952, 51065, 56047, 58600, 61845, 51258, 50799, 72242, 68258, 61252, 50754, 50305, 55768, 57236, 76135, 50952, 51065, 54951, 58600, 51158, 50947, 51048, 50856, 57395, 51065, 57845, 50754, 50305, 55768, 57617, 76135, 50952, 51065, 55799, 72242, 50879, 51169, 51048, 50856, 57481, 51065, 57502, 50754, 50305, 61845, 57278, 76135, 68258, 55721, 55683, 50961, 58600, 50879, 50947, 78886, 56663, 51349, 51159, 55683, 58986, 58207, 55683, 50882, 50754, 50305, 61845, 58210, 54570, 51030, 76135, 68258, 56047, 58600, 55855, 53612, 51258, 50799, 65047, 52821, 55349, 52821, 52102, 52821, 51465, 52821, 51249, 52821, 65047, 52024, 55349, 52024, 51640, 54153, 55683, 54452, 51187, 50366, 52281, 56231, 54744, 51594, 58156, 67408, 51594, 58362, 54744, 52282, 70320, 51544, 50982, 51532, 51306, 51361, 50982, 51556, 51306, 69835, 51572, 51306, 51180, 60571, 51719, 50840, 51249, 50840, 52109, 52675, 51306, 52320, 64364, 51719, 50840, 51249, 50840, 52109, 52675, 51306, 51453, 59506, 51719, 50840, 51651, 50840, 51672, 52675, 51306, 78937, 51264, 51249, 51264, 52109, 51264, 58907, 51402, 51306, 64858, 51510, 51306, 51544, 50982, 51532, 51306, 51361, 50982, 51556, 51306, 69835, 51572, 51306, 51180, 60571, 55683, 51139, 58547, 51640, 50914, 55683, 51139, 64364, 55683, 51594, 59923, 54570, 56832, 50982, 51621, 51306, 50799, 66417, 50943, 51410, 50943, 51719, 50943, 51249, 50943, 53655, 50943, 66417, 52024, 53655, 52024, 51181, 54153, 55683, 51594, 77298, 54744, 51594, 58156, 67408, 51594, 58362, 54744, 51551, 70320, 51544, 50982, 51532, 51306, 51361, 50982, 51556, 51306, 69835, 51572, 51306, 51180, 60571, 51719, 50840, 51249, 50840, 52109, 52675, 51306, 52320, 64364, 51719, 50840, 51249, 50840, 52109, 52675, 51306, 51453, 59506, 51719, 50846, 51672, 50846, 51651, 52675, 51306, 78937, 51264, 51249, 51264, 52109, 51264, 58907, 51402, 51306, 64858, 51510, 51306, 51544, 50982, 51532, 51306, 51361, 50982, 51556, 51306, 69835, 51572, 51306, 51180, 60571, 55683, 51139, 58547, 51181, 50914, 55683, 51139, 64364, 55683, 52633, 59923, 54570, 56832, 50982, 51621, 51306, 50799, 50655, 50279, 51218, 57081, 51218, 51410, 51417, 51719, 51417, 51249, 51417, 52571, 51417, 50655, 50279, 51264, 57081, 51264, 51857, 51894, 55683, 51594, 77298, 54744, 52633, 58156, 67408, 51594, 58362, 54744, 51551, 70320, 51544, 50982, 51532, 51306, 51361, 50982, 51556, 51306, 69835, 51572, 51306, 51180, 60571, 51719, 50840, 51672, 50840, 51457, 52675, 51306, 52320, 64364, 51719, 50840, 51457, 50840, 51672, 51582, 51306, 51453, 59506, 51719, 50846, 52109, 50846, 51249, 50840, 51857, 52217, 51306, 50799, 52109, 51003, 66165, 51696, 54369, 51359, 54369, 51264, 52571, 51359, 51465, 51359, 51465, 51264, 51249, 51264, 52109, 51264, 66165, 51359, 51374, 51307, 58907, 51402, 51306, 64858, 51510, 59180, 51672, 51003, 58907, 51532, 51306, 51361, 50982, 51556, 58930, 51249, 51003, 58907, 51572, 51306, 51180, 60571 ]
[ 0, 713, 8787, 5175, 2125, 6, 30291, 19, 25771, 4785, 6, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 20, 11006, 4122, 12, 1054, 330, 13305, 8, 6755, 12547, 185, 5, 483, 6, 7513, 30, 10, 31391, 1672, 9590, 6, 38668, 11212, 6, 8, 18558, 10, 25118, 6, 2351, 10, 15352, 30054, 5797, 990, 1506, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 5, 15229, 3905, 10, 33215, 16739, 9, 12608, 6, 272, 119, 406, 6, 274, 406, 6, 274, 119, 6, 8, 163, 428, 6, 6946, 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 ]	[ 54458, 50799, 57600, 54171, 52681, 51576, 50420, 52269, 51961, 50426, 53564, 55586, 50432, 53282, 66405, 55439, 59435, 56163, 51671, 53139, 51449, 52591, 52822, 64880, 50426, 52269, 54573, 50432, 53282, 52168, 50799, 63275, 53588, 53395, 51852, 53282, 52335, 50420, 52889, 52140, 50426, 54802, 56329, 50432, 53009, 51703, 53395, 57912, 50450, 52269, 51524, 50456, 58153, 55490, 52269, 52980, 52591, 52681, 51477, 50426, 53427, 54573, 50432, 53564, 54557, 50438, 53009, 51423, 50444, 52681, 51477, 50450, 58153, 51466, 50799, 64167, 54171, 57600, 52335, 52681, 51412, 50420, 52269, 69790, 53564, 54829, 50432, 53282, 51244, 50450, 55439, 77228, 56163, 51449, 53564, 52503, 52239, 52503, 53139, 51310, 52591, 55439, 51709, 50426, 55951, 68869, 52822, 54829, 53282, 52015, 50799, 63275, 52335, 53009, 52460, 53395, 51480, 53282, 77873, 52889, 52140, 50426, 54802, 55586, 50432, 53009, 51314, 50450, 52269, 63234, 58153, 52431, 52269, 51108, 52591, 53395, 52062, 52889, 53142, 50426, 52495, 53577, 50432, 53009, 53486, 50444, 58153, 53280, 52495, 55812, 50445, 52681, 52136, 50799, 52753, 51496, 57600, 51748, 52681, 52212, 52269, 55586, 53282, 52503, 50432, 53216, 51286, 53564, 63160, 50438, 52753, 51090, 53009, 51703, 50450, 51882, 51541, 52269, 52025, 50799, 52077, 52017, 58153, 51748, 52495, 53577, 52239, 53280, 52681, 52407, 50432, 53427, 56563, 50438, 52495, 51852, 50444, 52239, 54836, 50450, 52681, 69173, 53564, 54861, 50799, 52753, 50930, 52077, 51286, 63275, 52727, 52495, 52136, 50415, 53009, 52263, 52681, 54557, 50420, 52753, 64049, 52088, 50911, 57600, 54861, 50438, 52753, 51090, 52495, 63323, 53564, 53577, 50450, 53216, 51090, 54802, 52397, 50456, 57600, 51737, 50799, 51882, 52017, 53009, 53801, 52681, 51703, 52269, 52147, 53282, 52212, 50432, 53564, 53024, 50438, 52681, 51637, 52269, 51314, 50439, 53282, 51381, 50444, 53564, 55812, 50450, 53009, 80076, 52681, 51166, 50799, 52077, 50930, 51882, 51496, 53282, 51314, 50432, 52077, 51286, 53564, 70456, 51882, 51496, 52681, 51080, 52269, 51080, 53282, 61112, 53564, 57032, 50450, 52655, 51286, 53395, 52482, 50456, 52914, 51496, 53282, 51166, 50799, 56163, 51922, 52822, 55586, 52239, 53486, 50426, 51882, 51541, 50438, 52077, 78045, 52753, 51541, 55479, 58898, 50450, 52822, 73786, 53564, 52063, 50799, 52753, 51496, 57672, 51922, 54802, 55002, 52495, 51965, 53009, 52407, 53395, 56563, 50432, 52088, 51379, 53427, 63160, 50438, 52753, 51090, 54802, 63323, 52495, 54211, 50450, 51882, 51566, 53009, 52025, 50456, 53395, 52518, 50799, 52077, 50882, 51882, 52017, 57600, 51671, 52269, 51878, 53282, 51314, 50432, 53564, 57032, 50438, 52681, 51328, 50444, 52269, 54848, 50450, 53282, 80076, 53564, 54861, 50799, 52753, 50961, 50699, 50276, 51922, 52316, 52503, 57600, 51922, 53009, 53577, 52681, 52519, 52269, 54557, 50415, 52316, 71785, 52753, 64049, 53216, 50911, 53564, 65330, 50438, 52753, 51541, 53009, 51080, 52681, 51244, 74264, 53564, 58898, 50450, 51882, 51090, 52269, 51466, 50799, 52077, 52017, 54480, 51922, 51638, 52503, 58153, 51922, 52495, 52519, 52239, 54532, 52681, 52598, 50415, 51638, 51036, 50432, 53427, 63667, 50438, 52495, 51534, 74264, 52239, 52136, 50450, 52681, 52025, 50456, 53564, 51387, 50459, 52481, 51051, 50799, 52753, 50882, 52077, 51286, 59472, 51748, 52316, 53678, 53599, 51696, 63275, 52503, 52495, 52407, 53009, 51965, 50420, 52753, 64049, 52088, 51286, 57600, 63160, 50438, 52753, 51090, 53564, 52212, 52495, 51490, 53009, 51314, 52681, 51490, 60899, 53216, 51090, 50799, 51882, 52017, 50699, 50276, 51243, 51299, 51696, 51299, 57598, 52269, 52263, 53282, 52519, 50432, 53564, 60150, 50438, 52681, 51244, 52269, 51080, 51762, 50439, 53282, 79098, 53564, 55812, 50450, 53009, 52011, 50799, 52753, 51496, 51882, 51496, 50699, 50276, 51243, 51426, 51359, 64167, 51748, 52681, 51637, 50432, 52077, 51286, 57600, 55778, 50438, 51882, 51496, 51426, 51447, 52681, 51148, 52269, 51080, 74264, 53009, 52519, 50450, 52655, 51286, 57600, 53838, 50456, 52914, 51496, 50799, 55244, 51449, 51088, 51922, 77471, 56163, 51748, 53564, 54573, 52239, 52168, 52681, 52168, 53282, 56329, 50426, 51882, 51541, 50438, 52077, 51286, 74264, 52753, 51541, 53282, 72269, 52681, 69173, 52239, 52518, 50799, 52753, 52195, 57805, 51449, 51154, 51671, 51154, 51359, 57672, 51449, 52495, 51243, 53009, 51671, 52681, 51671, 50432, 52077, 51286, 53427, 58483, 50438, 51882, 51090, 53395, 51244, 60899, 52561, 51090, 50799, 52914, 52017, 51426, 51655, 51395, 65354, 54480, 54373, 52481, 55597, 51638, 52204, 58153, 51671, 53564, 52980, 52495, 52140, 53009, 51592, 52681, 52140, 51570, 52616, 53427, 55002, 50450, 53564, 52212, 50456, 52060, 59022, 52060, 58841, 52060, 50904, 50799, 51375, 51552, 51629, 51965, 53811, 50983, 51533, 50825, 58153, 52727, 53009, 51419, 52681, 51419, 52060, 70522, 70383, 52060, 54718, 51533, 51003, 51456, 60683, 51456, 52450, 53427, 54861, 50430, 51088, 51362, 50432, 51182, 51466, 52290, 51013, 52585, 51277, 53564, 52188, 52239, 51481, 52681, 51484, 50804, 50821, 55511, 50873, 52060, 57565, 51201, 51965, 51154, 51343, 52037, 51364, 51533, 51189, 53564, 52519, 52495, 51283, 52681, 51637, 51456, 50821, 50799, 51882, 51379, 51299, 52903, 51093, 56004, 52316, 77898, 51299, 66898, 51426, 66898, 56817, 50828, 55199, 50818, 51602, 51307, 57600, 52829, 53009, 56004, 52681, 53849, 52269, 55392, 53282, 55174, 59683, 52422, 51882, 51551, 59526, 51570, 62794, 53153, 52077, 57191, 51004, 51453, 51004, 50799, 52753, 51090, 51602, 51486, 59683, 52422, 52077, 62201, 54075, 51882, 52282, 50437, 51426, 67082, 51395, 52011, 65386, 51095, 60245, 50840, 52269, 51080, 50791, 51903, 53247, 59711, 51100, 58358, 50855, 52681, 51965, 50450, 51201, 51330, 51375, 50943, 54102, 51016, 55199, 50818, 51533, 52063, 53009, 52011, 50791, 54616, 51602, 51328, 53564, 51737, 50799, 52914, 51286, 52481, 52445, 51088, 52903, 51182, 57598, 55244, 66898, 51699, 66898, 51638, 66898, 53755, 54454, 54876, 50846, 51338, 51894, 56163, 52829, 52239, 52727, 53282, 57771, 59683, 52422, 52914, 51551, 59526, 51570, 62794, 53153, 52561, 51541, 50791, 54616, 55479, 66924, 59526, 50799, 51882, 51090, 51338, 51605, 53564, 52168, 59683, 52422, 52655, 63986, 54075, 52914, 52282, 55479, 63160, 50438, 51426, 50914, 51629, 51447, 65386, 51346, 60245, 50833, 53282, 51244, 50791, 51903, 53247, 53755, 51178, 54876, 50844, 52681, 52136, 50449, 51088, 57105, 52290, 51013, 53807, 50840, 51533, 51884, 52239, 52011, 50791, 54616, 51137, 50838, 53564, 54861, 50461, 51154, 52250, 50799, 52088, 51090, 52602, 50361, 50413, 53599, 60130, 51887, 66898, 52316, 68086, 51201, 54270, 52037, 52382, 53775, 50880, 51727, 51307, 57672, 54270, 53427, 57771, 54802, 57820, 52495, 55392, 53009, 58651, 59683, 52422, 51813, 62201, 54075, 52753, 51496, 51570, 62794, 53153, 52077, 57191, 51004, 51453, 51004, 50799, 52088, 53241, 51727, 51307, 59683, 50821, 51544, 54203, 54802, 51381, 52495, 51314, 53009, 51703, 50791, 51903, 53247, 55497, 53577, 50450, 53427, 52025, 50791, 54616, 51181, 51079, 54802, 51079, 50799, 52088, 51286, 75920, 52316, 57598, 53599, 66898, 51638, 60130, 54876, 50836, 64403, 50840, 51533, 52151, 58153, 55392, 52495, 55490, 53009, 53588, 52681, 53142, 59683, 52422, 52088, 51551, 59526 ]
[ 0, 713, 8787, 5175, 15229, 6, 30291, 19, 4785, 9, 3495, 6, 30853, 11, 10, 38971, 155, 73, 306, 86, 6543, 23, 10, 38451, 3938, 20889, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 24, 1575, 10, 5544, 14123, 24943, 217, 10, 6755, 12547, 6, 21979, 9590, 6, 17691, 28430, 6, 13305, 6, 8, 2342, 4467, 4, 13231, 5, 2125, 6, 10, 33215, 13931, 9, 230, 6, 272, 406, 73, 387, 6, 230, 6, 8, 274, 3639, 7, 63, 15352, 30054, 16426, 6, 7630, 14805, 10, 25306, 5466, 8, 10, 1472, 9, 657, 8, 26545, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50628, 51018, 71213, 52019, 50325, 51422, 50931, 51662, 57655, 51486, 50419, 51606, 54351, 51784, 65173, 51686, 55797, 51802, 60417, 51673, 53049, 50902, 52056, 52515, 54860, 51686, 50844, 51802, 64248, 51673, 56579, 52515, 55108, 50876, 51333, 52171, 50855, 52857, 54394, 51673, 63693, 52515, 57298, 52171, 50827, 52857, 50941, 78458, 52026, 50328, 51677, 50951, 51677, 53297, 51043, 58128, 51486, 50415, 57501, 51642, 50423, 52367, 50835, 57489, 63026, 53297, 50820, 57501, 54317, 50902, 51466, 52367, 51127, 57489, 51244, 50432, 52795, 56788, 52494, 53574, 50876, 51333, 52882, 56442, 52795, 54247, 52494, 57012, 52882, 50855, 71213, 60700, 51662, 50999, 51592, 52307, 51675, 57655, 51538, 50420, 51606, 50854, 52355, 58116, 51686, 50862, 51784, 53272, 50902, 52011, 51673, 50840, 51802, 54854, 51686, 50813, 51784, 57869, 51673, 50813, 51802, 54728, 50876, 51333, 52171, 50800, 52515, 54394, 51673, 50862, 51802, 58068, 52171, 50878, 52515, 51051, 51034, 50628, 51461, 51738, 50916, 51199, 50951, 51677, 51062, 51939, 58385, 62192, 52433, 50977, 52900, 50901, 51950, 55126, 50628, 51886, 50867, 55873, 69150, 52849, 50867, 51802, 70852, 52433, 50867, 52900, 50867, 58385, 56133, 51950, 65869, 51886, 50867, 52849, 50862, 51802, 64761, 55873, 52921, 50628, 51273, 52845, 50318, 52011, 51673, 50901, 52614, 50866, 52285, 51079, 55199, 52605, 50628, 51827, 50905, 52203, 50901, 51900, 51079, 54876, 52446, 50628, 51493, 52056, 50876, 51481, 52307, 50905, 51784, 51074, 54030, 70575, 51686, 53999, 50627, 51565, 50892, 52882, 50892, 52186, 51387, 53807, 50845, 51034, 50627, 51050, 59219, 61774, 59622, 58120, 51140, 52528, 51113, 51047, 51299, 52140, 51154, 51145, 52196, 51446, 50856, 50835, 56979, 51446, 53775, 52071, 53337, 51333, 50816, 56898, 53115, 50900, 53164, 50316, 51003, 51113, 50829, 51093, 51003, 51836, 53030, 56884, 50891, 55520, 51159, 51034, 51493, 51637, 51315, 65768, 51939, 50951, 51677, 51165, 51662, 51301, 52431, 51182, 51422, 53883, 78811, 59622, 50908, 58072, 51538, 53337, 52011, 50816, 57505, 54075, 51273, 61449, 51461, 53164, 50304, 51333, 50816, 56884, 53384, 70291, 73831, 51314, 51050, 52845, 50313, 51148, 50931, 51145, 51113, 51244, 51201, 51244, 51299, 52528, 53151, 61774, 59622, 50870, 56846, 51047, 53337, 52025, 51065, 56450, 57413, 51154, 73143, 52419, 52996, 50900, 78181, 71534, 51003, 51836, 51003, 51065, 56450, 50837, 55520, 50943, 51034, 52157, 52528, 50906, 51692, 50997, 52528, 50899, 52916, 51251, 52528, 51065, 60600, 64565, 51165, 51592, 51154, 51939, 52032, 51422, 57778, 51422, 54439, 51775, 51065, 59500, 52896, 50871, 51097, 51065, 62653, 57989, 51154, 51939, 51034, 51461, 52980, 50900, 65186, 51562, 51113, 52528, 51299, 53866, 50801, 58400, 50891, 56979, 51417, 50415, 52196, 51562, 53645, 51447, 51065, 59500, 53018, 50877, 51411, 52196, 62390, 58400, 50891, 56979, 76019, 52318, 51074, 79515, 52431, 73750, 50899, 52431, 50871, 54573, 51154, 51097, 51251, 52140, 51113, 50995, 52196, 51400, 50801, 60495, 50870, 56979, 51267, 60564, 50995, 51088, 51253, 78256, 52032, 69242, 59622, 50870, 57778, 51400, 50437, 51113, 54498, 50876, 50981, 51093, 50932, 51836, 51056, 51065, 56061, 50837, 55520, 51377, 56752, 50825, 51034, 52157, 52431, 50997, 77418, 51662, 50902, 52140, 51165, 52140, 51107, 51662, 51251, 51965, 50801, 59622, 57392, 52601, 51486, 55749, 51518, 53337, 51330, 51065, 62653, 53962, 51301, 51481, 57019, 51330, 51154, 64648, 57086, 50982, 78458, 77418, 52140, 50876, 52140, 51093, 51592, 51301, 50932, 51836, 51675, 50801, 50870, 55520, 51692, 50415, 51461, 52056, 51165, 52140, 51065, 52976, 51273, 53164, 50306, 51333, 51251, 64648, 57505, 53115, 51493, 51709, 50900, 51333, 51299, 64648, 59622, 54485, 50856, 51129, 73831, 51592, 51050, 65186, 51148, 51154, 51148, 51299, 51592, 51113, 51592, 52196, 64270, 67743, 50863, 56979, 51562, 53337, 51466, 50816, 57505, 53115, 50900, 53164, 50316, 50995, 51093, 51097, 51836, 51267, 50816, 56898, 50908, 55520, 50943, 51034, 51493, 51637, 51315, 65768, 51680, 50951, 51662, 51182, 52140, 51301, 52431, 50801, 56884, 50870, 58072, 51518, 50415, 51165, 52140, 53883, 51677, 53337, 51333, 50816, 60495, 53575, 51273, 64896, 51461, 52454, 50304, 51333, 50816, 57112, 53325, 73886, 64688, 68295, 51244, 50931, 51244, 51113, 51244, 51299, 52140, 51201, 51314, 53151, 51145, 51065, 50835, 56846, 51562, 50415, 51140, 65345, 52966, 50899, 51333, 50816, 57505, 58286, 51154, 65461, 52419, 51806, 50900, 66102, 50981, 51093, 50981, 51836, 70229, 57086, 50908, 55520, 51377, 51034, 52157, 52528, 50997, 52431, 50899, 52528, 50906, 51662, 51251, 75034, 51939, 50801, 58400, 50870, 57778, 51518, 50415, 51154, 51939, 52032, 51518, 54439, 51108, 51301, 64648, 57505, 52958, 50871, 50932, 51251, 64648, 56898, 53384, 50801, 50908, 51034, 51461, 52140, 50900, 59219, 51148, 51299, 51592, 51113, 51080, 51065, 55401, 57392, 51154, 51939, 52196, 51127, 56979, 51417, 53645, 51080, 50816, 56898, 52958, 71090, 51093, 51097, 51836, 68215, 57086, 50908, 55520, 51377, 51034, 51461, 51806, 50916, 64900, 51312, 50900, 52140, 51088, 51097, 51299, 51592, 51093, 68108, 59622, 66583, 51836, 51400, 55520, 76186, 51273, 51199, 50871, 67889, 51097, 51107, 51097, 51113, 51097, 52601, 69242, 57086, 50908, 55749, 69205, 51493, 52056, 50861, 62722, 75034, 50932, 51266, 50932, 54012, 51400, 50816, 57507, 50863, 57089, 51255, 56752, 50928, 73831, 52140, 50871, 78504, 51939, 50877, 51939, 51201, 51939, 51154, 52140, 50801, 59622, 50870, 56846, 51790, 50415, 51113, 52140, 53151, 51675, 50420, 53775, 56174, 53807, 50844, 53337, 51333, 50816, 57086, 50891, 54030, 52559, 53775, 54077, 50900, 51333, 50816, 56898, 50908, 55199, 54305, 54030, 50854, 64688, 52845, 50313, 51939, 50931, 52140, 51113, 51477, 51154, 51637, 53151, 51562, 50801, 59622, 50863, 56846, 51218, 57655, 51295, 50415, 51140, 51637, 51201, 51310, 53337, 51330, 50816, 57505, 53670, 51493, 51166, 51088, 50974, 51301, 50905, 51266, 50838, 51321, 50982, 57089, 51177, 68005, 51709, 74094, 51107, 50995, 51154, 51380, 51251, 51199, 52196, 66610, 56898, 58751, 55749, 51056, 50444, 52032, 50901, 51034, 51461, 52783, 51085, 51330, 70165, 55376, 50906, 51318, 50951, 51692, 51093, 51939, 51266, 51939, 51088, 51518, 51565, 51204, 52186, 51295, 51065, 50837, 58072, 51745, 56947, 51466, 50816, 56898, 53814, 50876, 51058, 51752, 50977, 54246, 51058, 55520, 51138, 62204, 51253, 50997, 51108, 51752, 51267, 54246, 51411, 50816, 57507, 50891, 55520, 51932, 50444, 51098, 52518, 50449, 51301, 51677, 51165, 52140, 68423, 51447, 50968, 51312, 50900, 64897, 51662, 51107, 52431, 51789, 51109, 52278, 66778, 58400, 50908, 57089, 51735, 53337, 52845, 50318, 51097, 51596, 51400, 52714, 51003, 51065, 56450, 50829, 55749, 51603, 50438, 51461, 53126, 50308, 61341, 50995, 51752, 51056, 54246, 52056, 50816, 56898, 50870, 55520, 63523, 51321, 65589, 51154, 51662, 51113, 51592, 51093, 52431, 73831, 52140, 50871, 53164, 50313, 51397, 52155, 51145, 55008, 51749, 50801, 59622, 50891, 56979, 52097, 56248, 64648, 57086, 53115, 50899, 78181, 50915, 51752, 51003, 55008, 64989, 56898, 50870, 55520, 51500, 56752, 50891, 51034, 51216, 51709, 50900, 60700, 51692, 50877, 51592, 51606, 51692, 52355, 51939, 51065, 55401 ]
[ 0, 4688, 9066, 5175, 2214, 19, 10, 2933, 8, 15352, 30054, 5466, 6, 4246, 81, 9756, 8669, 6, 38668, 3038, 6, 21072, 6, 13305, 6, 8, 17605, 9590, 4, 8504, 11, 5, 762, 9, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 8060, 13410, 228, 2289, 4, 20, 15229, 29769, 198, 5, 40286, 9, 12608, 6, 211, 6, 8, 272, 119, 6, 2351, 41, 814, 12, 21330, 8, 25306, 676, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50799, 50746, 50280, 51492, 50796, 50796, 50454, 66299, 51419, 57732, 53280, 74571, 78242, 50847, 54177, 50988, 51862, 50425, 50752, 50292, 51717, 59812, 51824, 69011, 50872, 55544, 50988, 69658, 51332, 52407, 77938, 50847, 53999, 50988, 52167, 50450, 50885, 51851, 55688, 50872, 53820, 50885, 51129, 50848, 63877, 50857, 51598, 51697, 50459, 50988, 50863, 57732, 51965, 50979, 56713, 50905, 52241, 56599, 50746, 50292, 75361, 50988, 52946, 59812, 51142, 66397, 50872, 55544, 50988, 52179, 50438, 51332, 51965, 50979, 57769, 55103, 50988, 53430, 69076, 64130, 50992, 59753, 66299, 52059, 50456, 50988, 50928, 57902, 50872, 50839, 51598, 50838, 72446, 61763, 50872, 51464, 50829, 57732, 51318, 75419, 50847, 50845, 51704, 54171, 51190, 51225, 54202, 50988, 52976, 74305, 50848, 58590, 54342, 50988, 53024, 50437, 50752, 50333, 52122, 50438, 51332, 51878, 50979, 57769, 68861, 67377, 57138, 50988, 52179, 50450, 50885, 51693, 55315, 60942, 50453, 50885, 54622, 50988, 50907, 51598, 52858, 50295, 51286, 74269, 50979, 50974, 52066, 57732, 55812, 50847, 50905, 52241, 53486, 50852, 50972, 50415, 51085, 57676, 50420, 50988, 51550, 59812, 57574, 50306, 63406, 53052, 50988, 75594, 51332, 51878, 50979, 51008, 64957, 50444, 50988, 55634, 62374, 50848, 55029, 50854, 59327, 50363, 50410, 50702, 50335, 50359, 50410, 50456, 50885, 55181, 51365, 50459, 50988, 51022, 52066, 57732, 51965, 50979, 51008, 65078, 52385, 50420, 50988, 50984, 54928, 51510, 54504, 50885, 51365, 60577, 55904, 51287, 51225, 54661, 50988, 51862, 50791, 56298, 51332, 51283, 63918, 50847, 56423, 68861, 66299, 65330, 50444, 50988, 51297, 69440, 55723, 75979, 63010, 69274, 51248, 50958, 53586, 50988, 50912, 54770, 56975, 50974, 57732, 51709, 71037, 63010, 64829, 52241, 51939, 51762, 57783, 51000, 50872, 50857, 63255, 55904, 50885, 51079, 60454, 51332, 51535, 63010, 51190, 50958, 52417, 50988, 50907, 66299, 55811, 50791, 54137, 71037, 50979, 75381, 50311, 50845, 74264, 73490, 67846, 56890, 51332, 50851, 50872, 51095, 54770, 55559, 50873, 50455, 52357, 54418, 51791, 50867, 52241, 52216, 50335, 50880, 59234, 50874, 51386, 50827, 67377, 52782, 50791, 71256, 51062, 51014, 50459, 59234, 50851, 51386, 50984, 74015, 51318, 65491, 50872, 50901, 52576, 52062, 50681, 50278, 52222, 51611, 52151, 50791, 57437, 51164, 50972, 51956, 51510, 52928, 68867, 50885, 56558, 52953, 51164, 50984, 50848, 55316, 65867, 50872, 59701, 50752, 50331, 53002, 50438, 52021, 51381, 50872, 50901, 51471, 57403, 50864, 55867, 52397, 51468, 73091, 51037, 50886, 50847, 50820, 51081, 51238, 50852, 55423, 74969, 50847, 54194, 58518, 52241, 51432, 58497, 50912, 51521, 50905, 74269, 67984, 50799, 55518, 51412, 50885, 50972, 54770, 53142, 51062, 51977, 52305, 52071, 51511, 52069, 51931, 50420, 51751, 53600, 53868, 56457, 51396, 50959, 74571, 50852, 54342, 50848, 59074, 65867, 55518, 51203, 50979, 50810, 51570, 50892, 51180, 50835, 51618, 52763, 51396, 61600, 55097, 51751, 57708, 50822, 67377, 51432, 50456, 52241, 52179, 51405, 50812, 51787, 50854, 51062, 50829, 58497, 50974, 51521, 50974, 74269, 53160, 51310, 75979, 50848, 50833, 64170, 50959, 51598, 53486, 51339, 50918, 51942, 51680, 51063, 51742, 51471, 50417, 51171, 51022, 51039, 53899, 66333, 58139, 51042, 56254, 54883, 51171, 51470, 51361, 54248, 53160, 51534, 59973, 50979, 61169, 51405, 51189, 51570, 54656, 51171, 54682, 54770, 51174, 55867, 55197, 67534, 63919, 50848, 50901, 51956, 50448, 52607, 52985, 50852, 55097, 51751, 50835, 54770, 51174, 50454, 51487, 51364, 50456, 51171, 50971, 74269, 51332, 51627, 50979, 50833, 66509, 52168, 58259, 50851, 51155, 50907, 51931, 64699, 51748, 59327, 59519, 50702, 50335, 52988, 59234, 52222, 51386, 52062, 51931, 50752, 50328, 53295, 50417, 50988, 51252, 51039, 52670, 74571, 50848, 56362, 53063, 50988, 51432, 66290, 51332, 50932, 66276, 61974, 50988, 51365, 51956, 73091, 61161, 50979, 56794, 59644, 52160, 56711, 51791, 50813, 51598, 53024, 59234, 50838, 51386, 51079, 66299, 51697, 51956, 74015, 51318, 67102, 50872, 50873, 52576, 52519, 50681, 50278, 51243, 51611, 52062, 51767, 53849, 51931, 50420, 51164, 51269, 57451, 51037, 60193, 53063, 50885, 60621, 60518, 50841, 52576, 50907, 66290, 52021, 51480, 69047, 78351, 50992, 50812, 52576, 52256, 61974, 51164, 50851, 51956, 73091, 52021, 50825, 79293, 61377, 50847, 57383, 59753, 59411, 53726, 50456, 51164, 50840, 50979, 54190, 51004, 52576, 50851, 51956, 50458, 52241, 51210, 50459, 58079, 50799, 55518, 50914, 51396, 73945, 54558, 50307, 50897, 50992, 50925, 52426, 51283, 52305, 51183, 51511, 52168, 76457, 51751, 51058, 72274, 55239, 51396, 50844, 50885, 59529, 59643, 66975, 52953, 51396, 51750, 60282, 51751, 53614, 67637, 78351, 64829, 52426, 51381, 51931, 50441, 51396, 53743, 51751, 50867, 75132, 51396, 50833, 59056, 77922, 62062, 50872, 52152, 57098, 66299, 51337, 50456, 51396, 50854, 52426, 50867, 52305, 50844, 51511, 50827, 69749, 51751, 50833, 52305, 50874, 51511, 65736, 51856, 78927, 74491, 51562, 74232, 61995, 50847, 50812, 51598, 51145, 69849, 52431, 50702, 50335, 52528, 66346, 52151, 51942, 52071, 51063, 52071, 51931, 50420, 51171, 50904, 62446, 50988, 51589, 52712, 50885, 56954, 50952, 50847, 52108, 51759, 52953, 50988, 55181, 65867, 51171, 54793, 53160, 51411, 51042, 61575, 50897, 62486, 51632, 51480, 50791, 55103, 51171, 50867, 78718, 50988, 50892, 71950, 56740, 50848, 50862, 61735, 61311, 52343, 57957, 51759, 55423, 51751, 57098, 55867, 53726, 50455, 51347, 68334, 50456, 51164, 50854, 51507, 50851, 66346, 51254, 58497, 50905, 51521, 50905, 53316, 50838, 56032, 56046, 51751, 50841, 57732, 51189, 50885, 59415, 50830, 50847, 50840, 51704, 51397, 59327, 52335, 50702, 50335, 51243, 66509, 52222, 59234, 52069, 51386, 52151, 53005, 55126, 50988, 53156, 50933, 51510, 52580, 50885, 56362, 50974, 77627, 52726, 50848, 65451, 53111, 50972, 50433, 50798, 58742, 51332, 51145, 50436, 50798, 53418, 50988, 50974, 51704, 51318, 70275, 50962, 57403, 50833, 57896, 67951, 52768, 50885, 59536, 53831, 59154, 59411, 52256, 50456, 61735, 51704, 50822, 59234, 50838, 51386, 50892, 52924, 67590, 51347, 56551, 50885, 50835, 66333, 51497, 63849, 51507, 50851, 74015, 51313, 62062, 50872, 50849, 52237, 51419, 60047, 53588, 63597, 52335, 50681, 50278, 51445, 51611, 51243, 51245, 53303, 52853, 67075, 51245, 57214, 51164, 59251, 54335, 68689, 58079, 55688, 50872, 55742, 52625, 54342, 51164, 50867, 52237, 56240, 52853, 60282, 51037, 53614, 50848, 50862, 57896, 52237, 51310, 52963, 69641, 51497, 51115, 50441, 51037, 54653, 51164, 50905, 52924, 76791, 50979, 55269, 53632, 51739, 50844, 51899, 51858, 67763, 66299, 53096, 78391, 52343, 50901, 62203, 50972, 50457, 51856, 57651, 68689, 50848, 62764, 53825, 51010, 50460, 51583, 50822, 50799, 55518, 51134, 67693, 74805, 65500, 52426, 51945, 59327, 52727, 50702, 50336, 52071, 52305, 51714, 51511, 52069, 50791, 73826, 51347, 74910, 51010, 51039, 52688, 63062, 72591, 50992, 63273, 63794, 50816, 56257, 51396, 54220, 63936, 50798, 58742, 51751, 54123, 55518, 50891, 61161, 50848, 55269, 50925, 51471, 60669, 52940, 55518, 51589, 60822, 50798, 58017, 51751, 71765, 50798, 51757, 50885, 50839, 55972, 62486, 50852, 58351, 50816, 66250, 51396, 74022, 51347, 52863, 51751, 50844, 51704 ]
[ 0, 250, 2933, 8, 15352, 30054, 5175, 19834, 4246, 81, 9756, 8669, 6, 13305, 6, 24896, 6, 3459, 9590, 6, 8, 21072, 6, 278, 11, 10, 2635, 361, 73, 306, 86, 6543, 8, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 13931, 9, 381, 12361, 6, 230, 73, 717, 6, 381, 12361, 6, 8, 230, 406, 73, 717, 6, 2351, 10, 19448, 8, 5679, 26709, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 51571, 50983, 55390, 51343, 51069, 51496, 50422, 51347, 79260, 61649, 51839, 50967, 51414, 51175, 50434, 51571, 51091, 55390, 51362, 51069, 51541, 50438, 51347, 79260, 51016, 50446, 51839, 50830, 51414, 58631, 51571, 50983, 55390, 51343, 51069, 51496, 50458, 51347, 79260, 51016, 50799, 51839, 50967, 51414, 51175, 50422, 51571, 51091, 55390, 51362, 51069, 51541, 50426, 51943, 50807, 52102, 51016, 51206, 77045, 51206, 56789, 51206, 61924, 51206, 53998, 51206, 61075, 51839, 50830, 51414, 50940, 51206, 56524, 51206, 61360, 51206, 54077, 51571, 50983, 55390, 51343, 51069, 51496, 51206, 68273, 51206, 59138, 51206, 62801, 51206, 54305, 51206, 60812, 51943, 50807, 52102, 51016, 51206, 54417, 51206, 59433, 51206, 52800, 51839, 50967, 51414, 51175, 51206, 73745, 51206, 58186, 51206, 64405, 51206, 54583, 51206, 62705, 51571, 51091, 55390, 51362, 51069, 51541, 51206, 57326, 51206, 59026, 51206, 50836, 50799, 51943, 50807, 52102, 51016, 51206, 75240, 51206, 58093, 51206, 60400, 51206, 54507, 51206, 58741, 51839, 50830, 51414, 50940, 51206, 53467, 51206, 52329, 51571, 50983, 55390, 51343, 51069, 51496, 51206, 75980, 51206, 59974, 51206, 66428, 51206, 52359, 51206, 57307, 51856, 71520, 51016, 51206, 53307, 51206, 58566, 51206, 53813, 51839, 50967, 51414, 51175, 51206, 63608, 51206, 56442, 51206, 62859, 51206, 54465, 51206, 62813, 51571, 51091, 55390, 51362, 51069, 51541, 51206, 57012, 51206, 61230, 51206, 53938, 51856, 71520, 51016, 51206, 73745, 51206, 55726, 51206, 60425, 51206, 53211, 51206, 61996, 51839, 50830, 51414, 50940, 51206, 57400, 51206, 59854, 51206, 50867, 64376, 50983, 55390, 51343, 51069, 51496, 51206, 76328, 51206, 60209, 51206, 66182, 51206, 55394, 51206, 59993, 51856, 71520, 51016, 51206, 55470, 51206, 60417, 51206, 54317, 51839, 50967, 51414, 51175, 50434, 51571, 51091, 55390, 51362, 51069, 51541, 50438, 51943, 50807, 52102, 51016, 51206, 69506, 51206, 57917, 51206, 64101, 51206, 54758, 51206, 61794, 51839, 50830, 51414, 50940, 51206, 56518, 51206, 60062, 51206, 52800, 51571, 50983, 55390, 51343, 51069, 51496, 51206, 73745, 51206, 58186, 51206, 63152, 51206, 53875, 51206, 60135, 51943, 50807, 52102, 51016, 51206, 56249, 51206, 57747, 51206, 50809, 50799, 51839, 50967, 51414, 51175, 51206, 76330, 51206, 61060, 51206, 59182, 51206, 54507, 51206, 58745, 51571, 51091, 55390, 51362, 51069, 51541, 51206, 55155, 51206, 61823, 51206, 53901, 51943, 50807, 52102, 51016, 51206, 61822, 51206, 57050, 51206, 61699, 51206, 53860, 51206, 61075, 51839, 50830, 51414, 50940, 51206, 55643, 51206, 54728, 51571, 50983, 55390, 51343, 51069, 51496, 50446, 51347, 50807, 56984, 79260, 58833, 51839, 50967, 51414, 51175, 50458, 51571, 51091, 55390, 51362, 51069, 51541, 50799, 51347, 50807, 56984, 79260, 51016, 50422, 51839, 50830, 51414, 58216, 51571, 50983, 55390, 51343, 51069, 51496, 50434, 51347, 50807, 56984, 79260, 59306, 51839, 50967, 51414, 51175, 50446, 51571, 51091, 55390, 51362, 51069, 51541, 50450, 51943, 50807, 67258, 50807, 52102, 51016, 51206, 73951, 51206, 57186, 51206, 64833, 51206, 55370, 51206, 62309, 51839, 50830, 51414, 50940, 51206, 57400, 51206, 59854, 51206, 50813, 64376, 50983, 55390, 51343, 51069, 51496, 51206, 73051, 51206, 59196, 51206, 66179, 51206, 54402, 51206, 58745, 51943, 50807, 67258, 50807, 52102, 51016, 51206, 55081, 51206, 58067, 51206, 52329, 51839, 50967, 51414, 51175, 51206, 75980, 51206, 59974, 51206, 58607, 51206, 53810, 51206, 58322, 51571, 51091, 55390, 51362, 51069, 51541, 51206, 55310, 51206, 59921, 51206, 53894, 51943, 50807, 67258, 50807, 52102, 51016, 51206, 67635, 51206, 56714, 51206, 62801, 51206, 54305, 51206, 61794, 51839, 50830, 51414, 50940, 51206, 57091, 51206, 53996, 51571, 50983, 55390, 51343, 51069, 51496, 51206, 73951, 51206, 57186, 51206, 64833, 51206, 55370, 51206, 62309, 51856, 71520, 51016, 51206, 57400, 51206, 59854, 51206, 50813, 50799, 51839, 50967, 51414, 51175, 51206, 73051, 51206, 59196, 51206, 66179, 51206, 54402, 51206, 58745, 51571, 51091, 55390, 51362, 51069, 51541, 51206, 55081, 51206, 58067, 51206, 52329, 51856, 71520, 51016, 51206, 75980, 51206, 59974, 51206, 58607, 51206, 53810, 51206, 58322, 51839, 50830, 51414, 50940, 51206, 55310, 51206, 59921, 51206, 54431, 51571, 50983, 55390, 51343, 51069, 51496, 51206, 67635, 51206, 56714, 51206, 60964, 51206, 54305, 51206, 61794, 51856, 71520, 51016, 51206, 56317, 51206, 64891, 51206, 53996, 51839, 50967, 51414, 51175, 50458, 51571, 51091, 55390, 51362, 51069, 51541, 50799, 51943, 50807, 52102, 51016, 51206, 75245, 51206, 59834, 51206, 66182, 51206, 55394, 51206, 60999, 51839, 50830, 51414, 50940, 51206, 56133, 51206, 60811, 51206, 52524, 51571, 50983, 55390, 51343, 51069, 51496, 51206, 67691, 51206, 57903, 51206, 62225, 51206, 53695, 51206, 59890, 51943, 50807, 52102, 51016, 51206, 55782, 51206, 58291, 51206, 52444, 51839, 50967, 51414, 51175, 51206, 77118, 51206, 59846, 51206, 59586, 51206, 54400, 51206, 59137, 51571, 51091, 55390, 51362, 51069, 51541, 51206, 55932, 51206, 61230, 51206, 53938, 51943, 50807, 52102, 51016, 51206, 73745, 51206, 55726, 51206, 62802, 51206, 54199, 51206, 62309, 51839, 50830, 51414, 50940, 51206, 57187, 51206, 50864, 50799, 51497, 51036, 53992, 51036, 55390, 51175, 51069, 76721, 50983, 51206, 51161, 50422, 51476, 58216, 51414, 51175, 50434, 55390, 50940, 51069, 72167, 64740, 51476, 51175, 50446, 51414, 58631, 55390, 51175, 51069, 76721, 50983, 50458, 51476, 50940, 50799, 51497, 50807, 53992, 50807, 51414, 51175, 50422, 55390, 50940, 51069, 72167, 65183, 51497, 51036, 53992, 51036, 52102, 51175, 50434, 51414, 59826, 55390, 51175, 51069, 76721, 50983, 50446, 52102, 58631, 51414, 51175, 50458, 55390, 50940, 51069, 72167, 51091, 79480, 51175, 50422, 51414, 58216, 51497, 50807, 53992, 50807, 55390, 51175, 51069, 76721, 50983, 51206, 51161, 50434, 51687, 59826, 51839, 50807, 52813, 50807, 51414, 51175, 50446, 55390, 50940, 51069, 72167, 63419, 51593, 50807, 52064, 71520, 51175, 50458, 51414, 50940, 50799, 52232, 50807, 53928, 50807, 55390, 51175, 51069, 76721, 50983, 50422, 51687, 58216, 51593, 50967, 52064, 50967, 51414, 51175, 50434, 52232, 50809, 53928, 50809, 55390, 50940, 51069, 72167, 51091, 50436, 51593, 50809, 52064, 52444, 51839, 50807, 52813, 50807, 52102, 51175, 50446, 51414, 58631, 51497, 51492, 53992, 51492, 55390, 51175, 51069, 76721, 50983, 50458, 52102, 50940, 74149, 51175, 50422, 55390, 50940, 51069, 72167, 65183, 52102, 51175, 50434, 51414, 59826, 55390, 51175, 51069, 76721, 50983, 51206, 51161, 50446, 51476, 58631, 51414, 51175, 50458, 55390, 50940, 51069, 72167, 51091, 61323, 51175, 50422, 51414, 58216, 55390, 51175, 51069, 76721, 50983, 50434, 51476, 59826, 51414, 51175, 50446, 55390, 50940, 51069, 72167, 63419, 52102, 51175, 50458, 51414, 50940, 50799, 55390, 51175, 51069, 76721, 50983, 51206, 51161, 50422, 52102, 58216, 51414, 51175, 50434, 55390, 50940, 51069, 72167, 64740, 52102, 51175, 50446, 51414, 58631, 55390, 51175, 51069, 76721, 50983, 50458, 51687, 50940, 74149, 51175, 50422, 55390, 50940, 51069, 72167, 65183, 51687, 51175, 50434, 51414, 59826, 55390, 51175, 51069, 76721, 50983, 50446, 51687, 58631, 51414, 51175, 50458, 55390, 50940, 51069, 72167, 51091, 79480, 51175, 50422 ]
[ 0, 250, 15352, 30054, 5175, 1619, 2214, 19, 15855, 16882, 6, 4246, 13305, 6, 38668, 22052, 6, 6168, 3540, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 272, 119, 6, 230, 119, 6, 274, 6, 12608, 6, 8, 163, 428, 3639, 7, 63, 12298, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50415, 51533, 64418, 51551, 50843, 51138, 50416, 51197, 50921, 50951, 51362, 50906, 51294, 63950, 51174, 50417, 56265, 51079, 56363, 51100, 54969, 51142, 50843, 63867, 52650, 51166, 54439, 50914, 53267, 51753, 50903, 52045, 50843, 54367, 51492, 50429, 54254, 70057, 50997, 50805, 53039, 51470, 51533, 51192, 50843, 61647, 54254, 51862, 63451, 63837, 51496, 51147, 51552, 56456, 51172, 51727, 65907, 63185, 51012, 50441, 53715, 52059, 55513, 50805, 52650, 51862, 50843, 59414, 54757, 63050, 50965, 50914, 52566, 51753, 50832, 52379, 50843, 68454, 54757, 56120, 53000, 51365, 72407, 50805, 54740, 51008, 51727, 52090, 52732, 58565, 53000, 52179, 54955, 68550, 51552, 51081, 51761, 55228, 51337, 51533, 64418, 51364, 50843, 51012, 50417, 53472, 51309, 54569, 50805, 52650, 61724, 59573, 53267, 51961, 60564, 51110, 52697, 51277, 50816, 51655, 50843, 66094, 53039, 51470, 58296, 50795, 54428, 51051, 51533, 52090, 59312, 63363, 53039, 51862, 63451, 57253, 51661, 51147, 52097, 56456, 52188, 51727, 64418, 51103, 50843, 51012, 50441, 53715, 52378, 55513, 50805, 53118, 51277, 50843, 67636, 54757, 52034, 50450, 50965, 50849, 52566, 51797, 50903, 51492, 50843, 55367, 52379, 50453, 53000, 54622, 50900, 50849, 54740, 51174, 51727, 55422, 54093, 53000, 51269, 55881, 58801, 69517, 51896, 63950, 51174, 51533, 65907, 51336, 50843, 51012, 50416, 56265, 52192, 50418, 54969, 51862, 56363, 50807, 52650, 51166, 50843, 50879, 50422, 53267, 51123, 50424, 54254, 51051, 54439, 51238, 53267, 51432, 50816, 51675, 50843, 60095, 54089, 50428, 52650, 50984, 50430, 54969, 51142, 63931, 50805, 52650, 51365, 51137, 51192, 50843, 73308, 53267, 51269, 50436, 52650, 53569, 51026, 51013, 53715, 50904, 51338, 64418, 68754, 51012, 50440, 54969, 51142, 50442, 52650, 57138, 50902, 51192, 50906, 50807, 52566, 62759, 69117, 54254, 51862, 50448, 53039, 54915, 50876, 70354, 50806, 53647, 68376, 59510, 56769, 50451, 53039, 62375, 54254, 68357, 52566, 53553, 50956, 63785, 52370, 50321, 50923, 54969, 50912, 51338, 57725, 51145, 50843, 68571, 53715, 52167, 50459, 52650, 74373, 54969, 51022, 57190, 50940, 50876, 52362, 50300, 50807, 53118, 50907, 51132, 64418, 54982, 51012, 50417, 59862, 51797, 62143, 68550, 50806, 53118, 51797, 50843, 60147, 54757, 53096, 56546, 57367, 52370, 50307, 51124, 52566, 54923, 51343, 50843, 64627, 53000, 53052, 50931, 69718, 50795, 52566, 51142, 51132, 59557, 63185, 61647, 73764, 54757, 58946, 50997, 63191, 51160, 50876, 50896, 56265, 51337, 51727, 51285, 50843, 51012, 50440, 53118, 51376, 50442, 53267, 73505, 50965, 51090, 52697, 72494, 54982, 50974, 50446, 53000, 70635, 54428, 58248, 50951, 51286, 50902, 51379, 53000, 69372, 52732, 59384, 51003, 50452, 52697, 51365, 50454, 53267, 56838, 50997, 50897, 53118, 54438, 56649, 57290, 78442, 53472, 64224, 56265, 60863, 52402, 51894, 54594, 68035, 51204, 51197, 51675, 51533, 58249, 51274, 50843, 74947, 56125, 52528, 55931, 51939, 51615, 51894, 51863, 51894, 53042, 51274, 56363, 59689, 53890, 50956, 52918, 51469, 50843, 51736, 50861, 51100, 50951, 51364, 51533, 53690, 55185, 50873, 50437, 54650, 51167, 64574, 51189, 51533, 58249, 51077, 50843, 62148, 55872, 55451, 50861, 66799, 51798, 50906, 51048, 60047, 50995, 51727, 62909, 52017, 50843, 52931, 51001, 52098, 50302, 51101, 50843, 50795, 53602, 51585, 50461, 51615, 51894, 51863, 51486, 51838, 51486, 55881, 61686, 50846, 56125, 50870, 55931, 50835, 60047, 51939, 51533, 54749, 63185, 59413, 50899, 70483, 60693, 51364, 51026, 51486, 55931, 52528, 64069, 50867, 51181, 50895, 51137, 51016, 54569, 59312, 52483, 50861, 56946, 52208, 50843, 52309, 50902, 50889, 51137, 53393, 78570, 54993, 51081, 51141, 50843, 52313, 50906, 50795, 51727, 59569, 74256, 50893, 50449, 53602, 51055, 63932, 55143, 50914, 64069, 62877, 52208, 50843, 50923, 50455, 51181, 65651, 50951, 66867, 51177, 50843, 50879, 50461, 52340, 51486, 51711, 51486, 52795, 51196, 54955, 74220, 74944, 50818, 55931, 50908, 60047, 50825, 51137, 54749, 74256, 50802, 52255, 51486, 76301, 52014, 50324, 50983, 51176, 51894, 59642, 55490, 59327, 51592, 72240, 50835, 51602, 51016, 58097, 58376, 55341, 50965, 57439, 52379, 50843, 50849, 50431, 51602, 54154, 51001, 76916, 57394, 59689, 54233, 50965, 50873, 51602, 72706, 51103, 50843, 50802, 53602, 55451, 50876, 60775, 55125, 51001, 50805, 72240, 51253, 51533, 51290, 50816, 53601, 50843, 50873, 55872, 76342, 51147, 66782, 51177, 50843, 75166, 52402, 51894, 51863, 51894, 53602, 52500, 58526, 62282, 50809, 59642, 51297, 59327, 50837, 50702, 50336, 50835, 51602, 53690, 51790, 50843, 59413, 55931, 52140, 72240, 51939, 51615, 51894, 50416, 50861, 51048, 51197, 51091, 56125, 57232, 51533, 51016, 56363, 66696, 52688, 50956, 51626, 51527, 50843, 54259, 50906, 51100, 51001, 51336, 50951, 51336, 51533, 61826, 54233, 50956, 50849, 54311, 55509, 52313, 75172, 54311, 54187, 78570, 54323, 50997, 71673, 51110, 60047, 50995, 51727, 56956, 51551, 50843, 58705, 51197, 50854, 51727, 57468, 56015, 52250, 53042, 62516, 53042, 63604, 51863, 51894, 53042, 51100, 54594, 68035, 51204, 51197, 51675, 56125, 52528, 55931, 51939, 51533, 58249, 51274, 50843, 50802, 52402, 51486, 51615, 51486, 56363, 59689, 50873, 50425, 53042, 51124, 56040, 52918, 51469, 50843, 51736, 50861, 63191, 51364, 51533, 53690, 55185, 50873, 50437, 54650, 51110, 64574, 51189, 51533, 58249, 51077, 50843, 62148, 55872, 51191, 58365, 66799, 51798, 50906, 51048, 60047, 50995, 51727, 62909, 52017, 50843, 52931, 51001, 52098, 50302, 51101, 50843, 50795, 50460, 51838, 51486, 53602, 51191, 50461, 51615, 51894, 51863, 51486, 55881, 61686, 50846, 56125, 50870, 55931, 50835, 51533, 54749, 63185, 59413, 50899, 71029, 77117, 75210, 51364, 51026, 51486, 64069, 50867, 55931, 52528, 60047, 51939, 51137, 51016, 54569, 59312, 52483, 50861, 56946, 52208, 50843, 52309, 50902, 50889, 51137, 58732, 78570, 50893, 53602, 60831, 53602, 64859, 51081, 51141, 50843, 52313, 50906, 51060, 51727, 59569, 74256, 50893, 50449, 53602, 52848, 50902, 55143, 50914, 64069, 62877, 52208, 50843, 50923, 50455, 51181, 51173, 53602, 61327, 50951, 66867, 51177, 50843, 50879, 50461, 52340, 51486, 52795, 51100, 54955, 74220, 74944, 50818, 55931, 50908, 60047, 50825, 51137, 54749, 74256, 50802, 51711, 51486, 52255, 51486, 76301, 52014, 50324, 50983, 51176, 51894, 59642, 55490, 72240, 50835, 59327, 51592, 51602, 51290, 58097, 58376, 50893, 50425, 52795, 51124, 62144, 57439, 52379, 50843, 50849, 50431, 51602, 54154, 51001, 76916, 71941, 59689, 50873, 50437, 52494, 53470, 50965, 50873, 51602, 72706, 51103, 50843, 62148, 53042, 51191, 75795, 60775, 55125, 51001, 50805, 72240, 51253, 51533, 51290, 50816, 53601, 50843, 55345, 51147, 66782, 51177, 50843, 75166, 51838, 54153, 51743, 54153, 51863, 54153, 52494, 52149, 58526, 72854, 50818, 59642, 50982, 59327, 50837, 50702, 50336, 50835, 51602, 54749, 51790, 50843, 59413, 50871, 69687, 65757, 50983, 60047, 57232, 64069, 52140, 50702, 50338, 52222, 51526, 51016, 55961, 66696, 52688, 50906, 51626, 51527, 50843, 50873, 66928, 51103, 77431, 71446, 51336, 51146, 51336, 51526, 61826, 54233, 50906, 50849, 51181, 55509, 52313, 50931, 51121, 51181, 54187, 78570, 78876, 56176, 55441, 50871, 51458, 50333, 51110, 63597, 50995, 51132, 56956, 51551, 50843 ]
[ 0, 250, 182, 765, 37903, 9, 20425, 5175, 930, 11, 272, 538, 6, 4246, 10, 881, 272, 33215, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50861, 60253, 54433, 50861, 60253, 52030, 50861, 60253, 52313, 50876, 64244, 55680, 50876, 64244, 50802, 54594, 60253, 54433, 50861, 60253, 52030, 50861, 72559, 55276, 58161, 50951, 53609, 56245, 51062, 59116, 56245, 51062, 52116, 58161, 50951, 53532, 56245, 51062, 56575, 56245, 62721, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 13305, 2125, 14, 115, 1807, 25, 10, 19834, 6, 42, 3722, 15229, 16, 278, 11, 5, 762, 9, 12608, 538, 8, 11498, 10, 1769, 20889, 4, 590, 10, 16331, 13931, 9, 2060, 119, 1176, 406, 6, 272, 6, 8, 274, 40286, 6, 24, 7630, 6568, 10, 1472, 9, 15073, 150, 202, 1839, 3423, 9, 26545, 149, 63, 15352, 30054, 33083, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50419, 50871, 50818, 50965, 52432, 50906, 72969, 51492, 50965, 51492, 50876, 51492, 50796, 61627, 51040, 50918, 53975, 51036, 55435, 52045, 50965, 51492, 50876, 51492, 50796, 55203, 50918, 55435, 51036, 50965, 74183, 51036, 50796, 50799, 52357, 50967, 51040, 51492, 50965, 51492, 50876, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 50967, 51040, 50918, 50446, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 50900, 51036, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 50997, 52045, 50965, 52045, 50876, 52045, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 50967, 50799, 52357, 50967, 50997, 52045, 50965, 52045, 50876, 52045, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 50931, 51492, 51040, 51492, 50965, 51492, 50876, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 50931, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 50967, 51040, 50918, 50446, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 50900, 51036, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 50997, 52045, 50965, 52045, 50876, 52045, 50931, 52045, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 55435, 52045, 50965, 52045, 50876, 52045, 56807, 51036, 77431, 58624, 50931, 50807, 50799, 52357, 50967, 51360, 51492, 51040, 51492, 51040, 51492, 50876, 51492, 50965, 51492, 50965, 51492, 50876, 51492, 50876, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 51085, 51036, 50900, 51036, 50900, 51036, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 51234, 51492, 50997, 51492, 50997, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50796, 50799, 52357, 50967, 51360, 51492, 51040, 51492, 51040, 51492, 50965, 51492, 50965, 51492, 50876, 51492, 50876, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 51085, 70339, 70339, 50918, 50422, 52128, 50967, 50430, 51339, 60482, 50951, 50983, 51147, 50983, 50799, 52357, 50967, 51234, 51492, 50997, 51492, 50997, 51492, 50965, 51492, 50965, 51492, 50876, 51492, 50876, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 54852, 52910, 51028, 52424, 50900, 50807, 50799, 53919, 50918, 51360, 51492, 51360, 51492, 51040, 51492, 51040, 51492, 50965, 51492, 50965, 51492, 50876, 51492, 50876, 51492, 50438, 52956, 52728, 52052, 50807, 50799, 52128, 51036, 75464, 52910, 52128, 52424, 53919, 52728, 53684, 50807, 50799, 52357, 50918, 51085, 51036, 51085, 51036, 50900, 51036, 50900, 76175, 51487, 52728, 52128, 50807, 68818, 52045, 51234, 51492, 51234, 51492, 50997, 51492, 50997, 51492, 61627, 51487, 52728, 52128, 50807, 68818, 51036, 50796, 57497, 51036, 51040, 51036, 51040, 51036, 50965, 51036, 50965, 74183, 74183, 51036, 50796, 65851, 50807, 57497, 51036, 51040, 51036, 51040, 51036, 50965, 52045, 50965, 52045, 50876, 52045, 50876, 52045, 53645, 52728, 50871, 50807, 53997, 70339, 70339, 50918, 53645, 52424, 51378, 63792, 51378, 57225, 51378, 53484, 79620, 50799, 52357, 50967, 51234, 51492, 50997, 51492, 50997, 51492, 50965, 51492, 50965, 51492, 50876, 51492, 50876, 51492, 50422, 52128, 59204, 50906, 50807, 50430, 51339, 59067, 52357, 50967, 50906, 51161, 50446, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 59204, 50906, 50807, 50430, 51339, 59067, 52357, 69127, 52128, 58647, 50906, 50807, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 53645, 50807, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 56415, 50807, 50454, 51339, 50967, 50796, 50799, 53919, 50918, 51040, 51492, 50965, 51492, 50876, 51492, 50438, 52956, 52728, 52052, 50807, 50799, 52128, 51036, 75464, 52910, 52128, 52424, 53919, 52728, 53684, 50807, 50799, 52357, 70339, 76175, 51487, 52728, 52128, 50807, 68818, 52045, 50997, 51492, 61627, 51487, 52728, 52128, 50807, 68818, 51492, 50796, 57346, 51492, 50965, 51492, 50876, 51492, 50418, 53919, 50918, 50442, 52956, 50807, 50454, 52052, 50807, 52478, 52128, 51036, 52478, 51487, 50807, 50430, 52128, 50807, 50442, 53919, 50807, 50454, 53684, 50807, 56178, 51036, 50418, 52357, 50918, 50442, 51487, 50807, 50454, 52128, 50807, 55435, 51036, 50418, 51339, 52045, 58526, 51036, 50442, 51487, 50807, 50454, 52128, 50807, 54955, 51036, 50418, 51339, 52045, 55881, 51492, 50906, 51492, 51028, 51492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 4688, 20425, 3152, 2214, 19, 5175, 4785, 6, 4246, 10, 11739, 9, 30587, 6, 81, 9756, 6, 21979, 6, 8, 2382, 3459, 29589, 6, 23396, 30, 10, 1428, 12638, 1451, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 2351, 10, 3344, 9, 2933, 8, 15352, 30054, 6711, 29, 4, 20, 33215, 16739, 9, 83, 6, 163, 6, 230, 10431, 6, 83, 6, 8, 211, 3639, 7, 63, 13363, 28191, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 53488, 53488, 51200, 61355, 52862, 71510, 53488, 53488, 51200, 61355, 52862, 52201, 52483, 53488, 53488, 51200, 52918, 52918, 52918, 76374, 55502, 55502, 51969, 52201, 52446, 55502, 55502, 51969, 76464, 55502, 55502, 51969, 61355, 52862, 77504, 53573, 51409, 52918, 52918, 52918, 76375, 53573, 51409, 57314, 50799, 53573, 51409, 61355, 71510, 53573, 51409, 61355, 52201, 52483, 53573, 51409, 52918, 52918, 76374, 53573, 51409, 52201, 52446, 53573, 51409, 61355, 52862, 76464, 53573, 51409, 52918, 52918, 52918, 77504, 53573, 51409, 76375, 53488, 53488, 51200, 57314, 50799, 53488, 53488, 51200, 71510, 53488, 53488, 51200, 52201, 52483, 55502, 55502, 51969, 76374, 55502, 55502, 51969, 52201, 52446, 55502, 55502, 51969, 76464, 53573, 51409, 77504, 53573, 51409, 76375, 53573, 51409, 57314, 50799, 53573, 51409, 61355, 71510, 53573, 51409, 61355, 52201, 52483, 54633, 54633, 51580, 52918, 52918, 76374, 54633, 54633, 51580, 52201, 52446, 54633, 54633, 51580, 76464, 54633, 54633, 51580, 61355, 77504, 53488, 53488, 51200, 52918, 52918, 76375, 53488, 53488, 51200, 57314, 50799, 53488, 53488, 51200, 71510, 55502, 55502, 51969, 52201, 52483, 55502, 55502, 51969, 76374, 55502, 55502, 51969, 52201, 52446, 53573, 51409, 76464, 53573, 51409, 77504, 53573, 51409, 76375, 53573, 51409, 57314, 50799, 53573, 51409, 71510, 53573, 51409, 52201, 52483, 53573, 51409, 76374, 53573, 51409, 52201, 52446, 53573, 51409, 76464, 53488, 53488, 51200, 77504, 53488, 53488, 51200, 76375, 53488, 53488, 51200, 57314, 50799, 55502, 55502, 51969, 71510, 55502, 55502, 51969, 52201, 52483, 55502, 55502, 51969, 76374, 53573, 51409, 52201, 52446, 53573, 51409, 76464, 53573, 51409, 77504, 53573, 51409, 76375, 53573, 51409, 57314, 50799, 54633, 54633, 51580, 71510, 54633, 54633, 51580, 52201, 52483, 54633, 54633, 51580, 76374, 54633, 54633, 51580, 52201, 52446, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 76464, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 77504, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 76375, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 57314, 50799, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 71510, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 52201, 52483, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 76374, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52201, 52446, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 76464, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 77504, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 76375, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 57314, 68266, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 71510, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52201, 52483, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 76374, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52201, 52446, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 76464, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 77504, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 76375, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 57314, 50799, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 71510, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52201, 52483, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 76374, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52201, 52446, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 76464, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 77504, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 76375, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 57314, 50799, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 71510, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 52201, 52483, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 76374, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52201, 52446, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 76464, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 77504, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 76375, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 57314, 68266, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 71510, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52483, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52605, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52446, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52815, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 52596, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 52961, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 67669, 50799, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 52864, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52483, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52605, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52446, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52815, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52596, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52961, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 50805, 50799, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52864, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52483, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52605, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52446, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52815, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52596, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52961, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 50805, 50799, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52864, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52483, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52605, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52446, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 52815, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 52596, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 52961, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 71821, 68266, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52864, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52483, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52605, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52446, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52815, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52596, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52961, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 71821, 50799, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52864, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52483, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52605, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 52446, 52473, 50805, 51495 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 765, 2214, 11, 2060, 538, 7630, 6568, 10, 1472, 9, 26545, 8, 11926, 4, 20, 17035, 873, 2401, 6, 13305, 6, 8, 1515, 21305, 45552, 833, 7, 1045, 10, 8728, 8, 9066, 5466, 4, 8504, 11, 10, 155, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 10, 33215, 16739, 9, 230, 119, 406, 6, 274, 119, 6, 163, 428, 406, 73, 495, 6, 12608, 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 ]	[ 73566, 50438, 50632, 50956, 52916, 50965, 52916, 50876, 52916, 57980, 51576, 51034, 56815, 51576, 50426, 58240, 51576, 64574, 52048, 50965, 52048, 50876, 52048, 55840, 52140, 51034, 50906, 52048, 56040, 52048, 50965, 52048, 50876, 52048, 50438, 51040, 52916, 50871, 52916, 51028, 52916, 55478, 51576, 51034, 55791, 51576, 50426, 55840, 51576, 62335, 52916, 51040, 52916, 50861, 52916, 58240, 51576, 51034, 55527, 51576, 50426, 55478, 51576, 50438, 50633, 52541, 51677, 50900, 52916, 50956, 52916, 50965, 52916, 57980, 51576, 51034, 56815, 51576, 50426, 54713, 51576, 50438, 52541, 51411, 51040, 52916, 50965, 52048, 55478, 52140, 51034, 51946, 51411, 50861, 52048, 50426, 52541, 51411, 50965, 52048, 50438, 52541, 53082, 50900, 56004, 50956, 56004, 50965, 56004, 57980, 51576, 51034, 59191, 51576, 50426, 56815, 51576, 50438, 60188, 51576, 51034, 54713, 51576, 50426, 57980, 51576, 50438, 53343, 51677, 50861, 52916, 50906, 52916, 51001, 52916, 58240, 51576, 51034, 55478, 51576, 50426, 55527, 51576, 50438, 53343, 51411, 50956, 52916, 50877, 52916, 51001, 52048, 66168, 52140, 51034, 52601, 51411, 50902, 52048, 50426, 53343, 51411, 51001, 52048, 50438, 53343, 51233, 50956, 52482, 50965, 52482, 51001, 52482, 55840, 51878, 50446, 58302, 51233, 51147, 52482, 74246, 53916, 51293, 50871, 51922, 50965, 51922, 51028, 51922, 50426, 55791, 51576, 50438, 57921, 51576, 51034, 59813, 51576, 50426, 57921, 51576, 50438, 51836, 51677, 50956, 52916, 50965, 52916, 50876, 52916, 56815, 51576, 51034, 58240, 51576, 50426, 56815, 51576, 50438, 51836, 51411, 50871, 52407, 50965, 52407, 50876, 52048, 55120, 52140, 51034, 53339, 51411, 50973, 52048, 50426, 51836, 51411, 50876, 52048, 50438, 51836, 51233, 50900, 52482, 50871, 52482, 50876, 52482, 60188, 51878, 50446, 53151, 51233, 51028, 52482, 74246, 52032, 51293, 51040, 51922, 50871, 53201, 50906, 51922, 50426, 55791, 51576, 50438, 60188, 51576, 51034, 59813, 51576, 50426, 66168, 51576, 50438, 50632, 52541, 51486, 50900, 52140, 50956, 52140, 50965, 52140, 57980, 51162, 51034, 56815, 69706, 54713, 69205, 52541, 51162, 51040, 52140, 50965, 51576, 55478, 51486, 51034, 51946, 51162, 50861, 51576, 50426, 52541, 51162, 50965, 51576, 50438, 52541, 54484, 50900, 53849, 50956, 53849, 50965, 53849, 57980, 51227, 51034, 59191, 73714, 56815, 76713, 54713, 51227, 51034, 57980, 73714, 58240, 76713, 50633, 53916, 51227, 50871, 52204, 50965, 52140, 51028, 51576, 67312, 51941, 60188, 51941, 51034, 51836, 51227, 50876, 51576, 50426, 53916, 51227, 51028, 51576, 50438, 58302, 51661, 50876, 51878, 51147, 51878, 58240, 51227, 51034, 57839, 51661, 50426, 57570, 51227, 50965, 51576, 51001, 51576, 51114, 51576, 50438, 53151, 54484, 50965, 53849, 51028, 53849, 50931, 53849, 65754, 56209, 55791, 50893, 51034, 58988, 73714, 59191, 76713, 59191, 56209, 60188, 50893, 51034, 55791, 73714, 56815, 76713, 52541, 51227, 50900, 55776, 50956, 55776, 50965, 55197, 67312, 51941, 60188, 51941, 51034, 51946, 51227, 50861, 55197, 50426, 52541, 51227, 50965, 55197, 50438, 53343, 51661, 50861, 56563, 51001, 56563, 55478, 51227, 51034, 56199, 51661, 50426, 53916, 51227, 50956, 55197, 50906, 55197, 51028, 55197, 50438, 51836, 54484, 50956, 61489, 50965, 61489, 50876, 61489, 59191, 56209, 54713, 50893, 51034, 56815, 73714, 55791, 76713, 56815, 56209, 57980, 50893, 51034, 54713, 73714, 55478, 76713, 53916, 51227, 50871, 55856, 50965, 55776, 51028, 55197, 67312, 51941, 60188, 51941, 51034, 51836, 51227, 50876, 55197, 50426, 53916, 51227, 51028, 55197, 50438, 58302, 51661, 50876, 56563, 51147, 56563, 58240, 51227, 51034, 57839, 51661, 50426, 57570, 51227, 50965, 55197, 51001, 55197, 51114, 55197, 50438, 53151, 51941, 50965, 55776, 51028, 55776, 50931, 55776, 65754, 51227, 51034, 59191, 73714, 60188, 76713, 58047, 51661, 50906, 56563, 50931, 56563, 51081, 56563, 55120, 51227, 51034, 77346, 51661, 50426, 58047, 51227, 50906, 55197, 50931, 55197, 51081, 55197, 50438, 58047, 51941, 50906, 55776, 51001, 55776, 51081, 55776, 56815, 51175, 50446, 58988, 51175, 74246, 65883, 72598, 58988, 76713, 53343, 53073, 50861, 55776, 50906, 55776, 51001, 55856, 58988, 51661, 72262, 56815, 51227, 57019, 55856, 50965, 55776, 55478, 51227, 51034, 55791, 73714, 58988, 51227, 57267, 55776, 50906, 55776, 56815, 51227, 51034, 60188, 73714, 55527, 76713, 52541, 51677, 50900, 52140, 50956, 52140, 50965, 52140, 57980, 51411, 51034, 56815, 74989, 54713, 72652, 52541, 51411, 51040, 52140, 50965, 51576, 55478, 51677, 51034, 51946, 51411, 50861, 51576, 50426, 52541, 51411, 50965, 51576, 50438, 52541, 53082, 50900, 53849, 50956, 53849, 50965, 53849, 57980, 51411, 51034, 59191, 74989, 56815, 72652, 60188, 51411, 51034, 54713, 74989, 57980, 72652, 53343, 52140, 50861, 52916, 50906, 52916, 51001, 52916, 55527, 51576, 51034, 55478, 51576, 50426, 55527, 51576, 50438, 53343, 51576, 50956, 52916, 50877, 52916, 51001, 52048, 66168, 52140, 51034, 52601, 51576, 50902, 52048, 50426, 53343, 51576, 51001, 52048, 50438, 53343, 51642, 50956, 52482, 50965, 52482, 51001, 52482, 55840, 51878, 50446, 58302, 51642, 51147, 52482, 74246, 53916, 51449, 50871, 53201, 50965, 51922, 51028, 51922, 50426, 55791, 51576, 50438, 51040, 52916, 57921, 51576, 51034, 59813, 51576, 50426, 57921, 51576, 50438, 51836, 51677, 50956, 52140, 50965, 52140, 50876, 52140, 56815, 51411, 51034, 58240, 74989, 56815, 72652, 51836, 51162, 50871, 52071, 50965, 51677, 50876, 51411, 55120, 51486, 51034, 53339, 51162, 50973, 74989, 51836, 51162, 50876, 72652, 51836, 51175, 50900, 51233, 50871, 52121, 50876, 51233, 60188, 51661, 50446, 53151, 51175, 50931, 51233, 74246, 58302, 51696, 50965, 51293, 51028, 51310, 50931, 51293, 51147, 51293, 50426, 55791, 51227, 62204, 51677, 55120, 51227, 51034, 55840, 73714, 58240, 76713, 50632, 58302, 51352, 50965, 51677, 50876, 51677, 51001, 51677, 51147, 51677, 57980, 51066, 51034, 56815, 62819, 54713, 64631, 58302, 51066, 50965, 51677, 51028, 51677, 51147, 51411, 55478, 51352, 51034, 53883, 51066, 50951, 74989, 58302, 51066, 51147, 72652, 58302, 52442, 50965, 55197, 50876, 55197, 51001, 55197, 51147, 55197, 57980, 55197, 51034, 51001, 55197, 51147, 55197, 51062, 55197, 59191, 55197, 50426, 51147, 53126, 50328, 53126, 50331, 52011, 56815, 55197, 50438, 51062, 55197, 57980, 55197, 51034, 51405, 55197, 56815, 55197, 50426, 51487, 55197, 57839, 55197, 50438, 77347, 51576, 50871, 53201, 50965, 52916, 51028, 52048, 60188, 52916, 65754, 52916, 51034, 57849, 51576, 50876, 52048, 50426, 77347, 51576, 51028, 52048, 50438, 50711, 50336, 51878, 50876, 52407, 51147, 52407, 56815, 52048, 51034, 70523, 52407, 50426, 50711, 50334, 51576, 50965, 52048, 51001, 52048, 51114, 52048, 50438, 73161, 53849, 50965, 56004, 51028, 56004, 50931, 56004, 72131, 62523, 63547, 51166, 51034, 50694, 50314, 52048, 50426, 77346, 52048, 50438, 77346, 62523, 65754, 51166, 51034, 63547, 52048, 50426, 65777, 52048, 50438, 58302, 51576, 50900, 55776, 50956, 55776, 50965, 55197, 60188, 52916, 65754, 52916, 51034, 53883, 51576, 50861, 55197, 50426, 58302, 51576, 50965, 55197, 50438, 80125, 51878, 50861, 56563, 51001, 56563, 58988, 52048, 51034, 65883, 52407, 50426, 77347, 51576, 50956, 55197, 50906, 55197, 51028, 55197, 50438, 57849, 53849, 50956, 61489, 50965 ]
[ 0, 713, 8787, 5175, 8, 3495, 15229, 22750, 1626, 11098, 8, 10563, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 50, 5, 12298, 1619, 191, 4, 20, 6755, 12547, 8, 24896, 185, 5, 483, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 6, 5, 31910, 154, 23225, 9, 5, 23338, 33518, 1264, 6, 8, 5, 3459, 8669, 18, 25402, 7031, 8014, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 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 ]	[ 54458, 55746, 51565, 51242, 50433, 51686, 51242, 50440, 51137, 51637, 51886, 51115, 52123, 52204, 51555, 52204, 51902, 52204, 50798, 51101, 53779, 66092, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 58248, 53191, 71820, 53302, 51242, 50832, 50878, 53231, 74651, 51137, 51051, 51886, 51101, 51322, 51481, 51209, 51481, 51590, 51481, 53191, 51242, 50798, 51101, 51383, 76856, 50878, 52591, 51137, 51576, 52433, 51101, 52631, 51242, 50798, 51101, 51236, 51101, 53779, 55440, 51886, 51101, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 51242, 50434, 51181, 51576, 52433, 51101, 53191, 51242, 50832, 74030, 51101, 53231, 50878, 50440, 52367, 51101, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 50959, 51240, 51101, 53231, 66092, 51137, 51637, 51886, 71382, 51101, 53779, 65002, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 63321, 53191, 79076, 54307, 51134, 51951, 51679, 53302, 51242, 50832, 50878, 53231, 50878, 52591, 51137, 51051, 51322, 51481, 51209, 51481, 51590, 51481, 53191, 51242, 50798, 51101, 51383, 76856, 50878, 50427, 51137, 51576, 52886, 51452, 51967, 52168, 52631, 61174, 51101, 51236, 51101, 53779, 61172, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 51242, 50441, 51857, 51576, 51565, 51101, 53191, 51242, 50832, 74030, 51101, 53231, 50878, 50448, 51686, 51101, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 50959, 51240, 51101, 53231, 50878, 50455, 51374, 51637, 52156, 51115, 52041, 54249, 53499, 52644, 53122, 53849, 50798, 51101, 53779, 50878, 50799, 51366, 51481, 51209, 51481, 51590, 51481, 55678, 50959, 50417, 53191, 68582, 53302, 51242, 50832, 50878, 53231, 50878, 50428, 51374, 51051, 51686, 51101, 51366, 51481, 51209, 51481, 51590, 51481, 53191, 51242, 50798, 51101, 51383, 76856, 61172, 51374, 51576, 52156, 51101, 53059, 51242, 50798, 51101, 51236, 51101, 53779, 78873, 51686, 51101, 51366, 51481, 51209, 51481, 51590, 51481, 53302, 51242, 50448, 51374, 51576, 51565, 51101, 53191, 51242, 50832, 74030, 51101, 53231, 50878, 50455, 51686, 51101, 51366, 51481, 51209, 51481, 51590, 51481, 53302, 50959, 51240, 51101, 53231, 50878, 53447, 51637, 51596, 51714, 52123, 54249, 52089, 54249, 51584, 52204, 50798, 51101, 53779, 50878, 50421, 51322, 51481, 51547, 51481, 51229, 51481, 56357, 50959, 50424, 56433, 50959, 50428, 52137, 51134, 52682, 51679, 52564, 51242, 50832, 50878, 53231, 60157, 51181, 51051, 51322, 51481, 51547, 51481, 51229, 51481, 56433, 51242, 50798, 51101, 51383, 76856, 66479, 51181, 51576, 51838, 51803, 55289, 52980, 52631, 51242, 50798, 51101, 51236, 51101, 53779, 50878, 50448, 58448, 62135, 51322, 51481, 51547, 51481, 51229, 51481, 62855, 50878, 52564, 51242, 50452, 62672, 58261, 59570, 69960, 51181, 51576, 56433, 51242, 50832, 74030, 51101, 53231, 50878, 50799, 51322, 51481, 51547, 51481, 51229, 51481, 62672, 50810, 52564, 50959, 51240, 51101, 53231, 64625, 62855, 50878, 50421, 62672, 56818, 51349, 51637, 52041, 54249, 51567, 54249, 50798, 51101, 53779, 50878, 50428, 51366, 51481, 51229, 51481, 51334, 51481, 55678, 60675, 52564, 66804, 52588, 51242, 50832, 50878, 53231, 66479, 51349, 51051, 51366, 51481, 51229, 51481, 51334, 51481, 62672, 50878, 52564, 51242, 50798, 51101, 51383, 76856, 50878, 50449, 51349, 51576, 57205, 51101, 53059, 51242, 50798, 51101, 51236, 51101, 53779, 58325, 51366, 51481, 51229, 51481, 51334, 51481, 62672, 50878, 52588, 51242, 51601, 51349, 51576, 57205, 51101, 52564, 51242, 50832, 74030, 51101, 53231, 63980, 51366, 51481, 51229, 51481, 51334, 51481, 58448, 50878, 52588, 50959, 51240, 51101, 53231, 55440, 60189, 66942, 51181, 51637, 58448, 51025, 52123, 52204, 52089, 54249, 50798, 51101, 53779, 50878, 50436, 51322, 51481, 51547, 51481, 51229, 51481, 56357, 50959, 50439, 56433, 50959, 50443, 52564, 51242, 50832, 50878, 53231, 56060, 51181, 51051, 51322, 51481, 51547, 51481, 51229, 51481, 58448, 50878, 56433, 51242, 50798, 51101, 51383, 76856, 58325, 51181, 51576, 60189, 51101, 52631, 61174, 51101, 51236, 51101, 53779, 50878, 51809, 51322, 51481, 51547, 51481, 51229, 51481, 58448, 50878, 52564, 51242, 50422, 51181, 51576, 60189, 50878, 56433, 51242, 50832, 74030, 51101, 53231, 66942, 51322, 51481, 51547, 51481, 51229, 51481, 56601, 50878, 52564, 50959, 51240, 51101, 53231, 50878, 50433, 59456, 50878, 50436, 51137, 51637, 56601, 51151, 51555, 54249, 51902, 54249, 50798, 51101, 53779, 50878, 50443, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 76791, 53191, 58248, 53302, 51242, 50832, 50878, 53231, 50878, 50457, 51137, 51051, 53297, 50845, 51322, 51481, 51209, 51481, 51590, 51481, 53191, 51242, 50798, 51101, 51383, 76856, 50878, 51809, 51137, 51576, 52367, 50845, 52886, 51134, 51967, 51679, 52631, 51242, 50798, 51101, 51236, 51101, 53779, 60988, 52367, 50845, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 51242, 50430, 51181, 51576, 52433, 50845, 53828, 51134, 52130, 51679, 53191, 51242, 50832, 74030, 51101, 53231, 74029, 51886, 50845, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 50959, 51240, 51101, 53231, 58991, 51137, 51481, 52367, 51134, 51322, 51481, 51209, 51481, 51590, 51481, 54307, 50915, 51951, 51108, 53191, 61174, 51101, 51335, 51481, 50458, 51760, 51025, 57731, 52721, 51101, 50430, 52213, 51101, 50437, 51760, 51134, 51456, 72438, 51224, 51242, 50451, 52387, 51115, 51137, 51637, 52123, 52204, 51555, 52204, 51902, 52204, 50798, 51101, 53779, 61997, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 50959, 50799, 53191, 50959, 50417, 53302, 51242, 50832, 50878, 53231, 50878, 50424, 52387, 51101, 51137, 51051, 51322, 51481, 51209, 51481, 51590, 51481, 53191, 51242, 50798, 51101, 51383, 76856, 75024, 54227, 51134, 51137, 51576, 52631, 51242, 50798, 51101, 51236, 51101, 53779, 55467, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 74458, 54091, 51134, 51181, 51576, 53191, 51242, 50832, 74030, 51101, 53231, 50878, 50452, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 51242, 51240, 51101, 53231, 61997, 52387, 51025, 51137, 51637, 50798, 51101, 53779, 50878, 52177, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 50959, 50421, 53191, 50959, 50424, 52387, 51101, 53302, 51242, 50832, 50878, 53231, 75024, 52213, 51101, 51137, 51051, 51322, 51481, 51209, 51481, 51590, 51481, 53191, 51242, 50798, 51101, 51383, 76856, 55467, 52721, 51101, 51137, 51576, 52631, 51242, 50798, 51101, 51236, 51101, 53779, 50878, 50445, 52213, 51101, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 51242, 50452, 51760, 51025, 51181, 51576, 53191, 51242, 50832, 74030, 51101, 53231, 65264, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 50959, 51240, 51101, 53231, 50878, 52478, 51760, 51422, 51857, 51637, 52089, 52204, 50798, 51101, 53779, 50878, 50425, 51322, 51481, 51547, 51481, 51590, 51481, 56357, 50959, 50428, 56433, 60675, 53302, 51242, 50832, 50878, 53231, 74029, 63912, 50813, 57144, 51051, 51322, 51481, 51547, 51481, 51590, 51481, 56433, 51242, 50798, 51101, 51383, 76856, 50878, 50439, 67261, 73686, 63912, 60672, 65256, 53103, 59456, 79295, 51857, 51576, 52631, 51242, 50798, 51101, 51236, 51101, 53779, 50878, 50452, 51322, 51481, 51547, 51481, 51590, 51481, 65256, 50866, 53302, 51242, 50459, 51640, 51576, 63912, 50878, 56433, 51242, 50832, 74030, 51101, 53231, 50878, 52478, 51322, 51481, 51547 ]
[ 0, 250, 765, 15855, 2125, 19, 10, 25306, 619, 6, 4246, 10, 6755, 12547, 6, 17465, 8244, 22778, 6, 38668, 11212, 6, 1515, 21305, 6, 8, 13305, 6, 70, 8216, 7, 10, 15352, 30054, 8, 19448, 5466, 326, 25963, 19, 10, 11602, 9, 15073, 6, 2905, 10686, 13, 10, 1619, 12, 14694, 822, 19834, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 5, 15229, 16, 17407, 30, 10, 33215, 13931, 9, 163, 43531, 1176, 406, 6, 163, 43531, 6, 230, 119, 406, 428, 245, 73, 387, 428, 6, 163, 43531, 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 ]	[ 54458, 50801, 50949, 56686, 52208, 59015, 50949, 51755, 50949, 56686, 51552, 53782, 50949, 56686, 53501, 59015, 50949, 51755, 55229, 50801, 54968, 50903, 50949, 51755, 50949, 53782, 54968, 50903, 50949, 51755, 50949, 56686, 52208, 59015, 50949, 51755, 50949, 56686, 51552, 53782, 50949, 56686, 53501, 59015, 50949, 51755, 55229, 50801, 54968, 50903, 50949, 51755, 50949, 53782, 54968, 50903, 50949, 50799, 54461, 50995, 56916, 58307, 54565, 50807, 57279, 50807, 51930, 51054, 56348, 50918, 51426, 50918, 51395, 55834, 54461, 51662, 56916, 51486, 50816, 53305, 51352, 57279, 51161, 51930, 52369, 59015, 51009, 55443, 50918, 51154, 50918, 51201, 50918, 50799, 54461, 51318, 56916, 51189, 50816, 58059, 51029, 57279, 50983, 51930, 51552, 58328, 50807, 77315, 51600, 70374, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 50886, 59917, 50807, 66316, 51629, 50807, 63261, 57860, 50816, 62627, 50816, 53860, 54461, 52096, 56916, 52149, 50816, 54355, 51407, 57279, 51492, 51930, 53501, 57671, 56579, 50816, 58572, 50816, 52781, 50816, 58785, 51009, 59523, 50807, 70809, 51394, 52728, 59635, 50807, 67914, 51304, 50807, 50799, 54277, 51307, 52695, 75582, 50824, 61609, 51492, 51107, 51492, 51384, 51492, 62578, 51352, 59015, 51009, 50799, 54277, 51307, 51996, 75582, 51029, 53782, 51407, 59015, 51009, 50799, 54277, 51307, 53780, 51307, 50816, 58059, 50824, 52623, 51036, 52089, 51036, 51722, 51036, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 55503, 51352, 63261, 57860, 50816, 62627, 50816, 53860, 50816, 50857, 57671, 56579, 50816, 58572, 50816, 52781, 54461, 53413, 56916, 52903, 50816, 58785, 51009, 57279, 52045, 51930, 55198, 50799, 56117, 51307, 51996, 51307, 50816, 53305, 51029, 52123, 51036, 51783, 51036, 51902, 51036, 51694, 53182, 50801, 51407, 59015, 51009, 50799, 54277, 52149, 53780, 52149, 50816, 58059, 50824, 52623, 51492, 52089, 51492, 51722, 51492, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 55503, 51352, 63261, 57860, 50816, 62627, 50816, 53860, 50816, 50857, 57671, 56579, 50816, 58572, 50816, 52781, 54461, 53413, 56916, 52903, 50816, 58785, 51009, 57279, 52045, 51930, 55198, 56703, 53305, 51029, 51694, 53182, 50801, 51407, 59015, 51009, 50799, 54864, 50995, 60458, 58307, 54565, 50807, 55760, 50807, 51150, 51054, 56348, 50918, 51426, 50918, 51395, 55834, 54864, 51662, 60458, 51486, 50816, 53305, 51352, 55760, 51161, 51150, 52369, 59015, 51009, 55443, 50918, 51154, 50918, 51201, 50918, 50799, 54864, 51318, 60458, 51189, 50816, 58059, 51029, 55760, 50983, 51150, 51552, 56154, 50807, 75840, 67837, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 50886, 58551, 50807, 67769, 68873, 63261, 57860, 50816, 62627, 50816, 53860, 54864, 52096, 60458, 52149, 50816, 54355, 51407, 55760, 51492, 51150, 53501, 57671, 56579, 50816, 58572, 50816, 52781, 50816, 58785, 51009, 65701, 50807, 74681, 51558, 52728, 59635, 50807, 67914, 51304, 50807, 50799, 52338, 51307, 52695, 75582, 50824, 61609, 51492, 51107, 51492, 51384, 51492, 62578, 51352, 59015, 51009, 50799, 52338, 51307, 51996, 75582, 51029, 53782, 51407, 59015, 51009, 50799, 52338, 51307, 51946, 51307, 50816, 58059, 50824, 52623, 51036, 51555, 51036, 51567, 51036, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 55503, 51352, 63261, 57860, 50816, 62627, 50816, 53860, 50816, 50857, 57671, 56579, 50816, 58572, 50816, 52781, 54864, 53413, 60458, 52903, 50816, 58785, 51009, 55760, 52045, 51150, 55198, 50799, 52665, 51307, 51996, 51307, 50816, 53305, 51029, 52123, 51036, 51986, 51036, 51902, 51036, 51694, 53182, 50801, 51407, 59015, 51009, 50799, 52338, 52149, 51946, 52149, 50816, 58059, 50824, 52623, 51492, 51555, 51492, 51567, 51492, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 55503, 51352, 63261, 57860, 50816, 62627, 50816, 53860, 50816, 50857, 57671, 56579, 50816, 58572, 50816, 52781, 54864, 53413, 60458, 52903, 50816, 58785, 51009, 55760, 52045, 51150, 55198, 56703, 53305, 51029, 51694, 53182, 50801, 51407, 59015, 51009, 50799, 54461, 50995, 56916, 58307, 54565, 50807, 57279, 50807, 51930, 51054, 56348, 50918, 51426, 50918, 51395, 55834, 54461, 51662, 56916, 51486, 50816, 53305, 51352, 57279, 51161, 51930, 52369, 59015, 51009, 55443, 50918, 51154, 50918, 51201, 50918, 50799, 54461, 51318, 56916, 51189, 50816, 58059, 51029, 57279, 50983, 51930, 51552, 58328, 50807, 77315, 51600, 70374, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 50886, 59917, 50807, 66316, 51629, 50807, 63261, 57860, 50816, 62627, 50816, 53860, 54461, 52096, 56916, 52149, 50816, 54355, 51407, 57279, 51492, 51930, 53501, 57671, 56579, 50816, 58572, 50816, 52781, 50816, 58785, 51009, 59523, 50807, 70809, 51394, 52728, 59635, 50807, 67914, 51304, 50807, 50799, 54277, 51307, 52695, 75582, 50824, 61609, 51492, 51107, 51492, 51384, 51492, 62578, 51352, 59015, 51009, 50799, 54277, 51307, 51996, 75582, 51029, 53782, 51407, 59015, 51009, 50799, 54277, 51307, 53780, 51307, 50816, 58059, 50824, 52623, 51036, 52089, 51036, 51722, 51036, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 55503, 51352, 63261, 57860, 50816, 62627, 50816, 53860, 50816, 50857, 57671, 56579, 50816, 58572, 50816, 52781, 54461, 53413, 56916, 52903, 50816, 58785, 51009, 57279, 52045, 51930, 55198, 50799, 56117, 51307, 51996, 51307, 50816, 53305, 51029, 52123, 51036, 51783, 51036, 51902, 51036, 51694, 53182, 50801, 51407, 59015, 51009, 50799, 54277, 52149, 53780, 52149, 50816, 58059, 50824, 52623, 51492, 52089, 51492, 51722, 51492, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 55503, 51352, 63261, 57860, 50816, 62627, 50816, 53860, 50816, 50857, 57671, 56579, 50816, 58572, 50816, 52781, 54461, 53413, 56916, 52903, 50816, 58785, 51009, 57279, 52045, 51930, 55198, 56703, 53305, 51029, 51694, 53182, 50801, 51407, 59015, 51009, 50799, 54864, 50995, 60458, 58307, 54565, 50807, 55760, 50807, 51150, 51054, 56348, 50918, 51426, 50918, 51395, 55834, 54864, 51662, 60458, 51486, 50816, 53305, 51352, 55760, 51161, 51150, 52369, 59015, 51009, 55443, 50918, 51154, 50918, 51201, 50918, 50799, 54864, 51318, 60458, 51189, 50816, 58059, 51029, 55760, 50983, 51150, 51552, 56154, 50807, 75840, 67837, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 50886, 58551, 50807, 67769, 68873, 63261, 57860, 50816, 62627, 50816, 53860, 54864, 52096, 60458, 52149, 50816, 54355, 51407, 55760, 51492, 51150, 53501, 57671, 56579, 50816, 58572, 50816, 52781, 50816, 58785, 51009, 65701, 50807, 74681, 51558, 52728, 59635, 50807, 67914, 51304, 50807, 50799, 52338, 51307, 52695, 75582, 50824, 61609, 51492, 51107, 51492, 51384, 51492, 62578, 51352, 59015, 51009, 50799, 52338, 51307, 51996, 75582, 51029, 53782, 51407, 59015, 51009, 50799, 52338, 51307, 51946, 51307, 50816 ]
[ 0, 250, 32076, 8, 19448, 15855, 2125, 702, 15, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 211, 538, 19, 10, 2635, 226, 22740, 20889, 8, 10, 132, 73, 306, 86, 6543, 4, 20, 33301, 7630, 6568, 6453, 9, 657, 8, 7125, 6, 19, 5, 40286, 211, 6, 272, 6, 211, 6, 8, 83, 16331, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51057, 50621, 60183, 51067, 52774, 60183, 51067, 52247, 51076, 51160, 51067, 71832, 60405, 64687, 51057, 55046, 51076, 52774, 54765, 75563, 51311, 50980, 50929, 50980, 51057, 56406, 55046, 51032, 52774, 56488, 55046, 51292, 52247, 62979, 55046, 51067, 52309, 51563, 65109, 51786, 59382, 51292, 55135, 51067, 65925, 51032, 60281, 51076, 50883, 51057, 50947, 50921, 51032, 50921, 50419, 50960, 50883, 51067, 53336, 50929, 50921, 51076, 50921, 50425, 50960, 50883, 51067, 53087, 57504, 55784, 51057, 51076, 51160, 51067, 69321, 60405, 51032, 52422, 55046, 60183, 51207, 56925, 55046, 60183, 51057, 50947, 50921, 52562, 50980, 50986, 50980, 51078, 50980, 50419, 51169, 53336, 50947, 54007, 51032, 62518, 51076, 53087, 51574, 50806, 62979, 56406, 55046, 51057, 51563, 52774, 64252, 58870, 51563, 52247, 60266, 75193, 51563, 52309, 54765, 55784, 51786, 50806, 51057, 59077, 55046, 60183, 51292, 52774, 51067, 50880, 60266, 56406, 55046, 50422, 51316, 56299, 51076, 62588, 51316, 53087, 62318, 72119, 58870, 51057, 50621, 60183, 51067, 52774, 60183, 51067, 52247, 51076, 51160, 51067, 71832, 60405, 64687, 51057, 55046, 51076, 52774, 54765, 75563, 51311, 50980, 50929, 50980, 51057, 56406, 55046, 51032, 52774, 56488, 55046, 51292, 52247, 62979, 55046, 51067, 52309, 51563, 65109, 51786, 59382, 51292, 55135, 51067, 65925, 51032, 60281, 51076, 50883, 51057, 50947, 50921, 51032, 50921, 50419, 50960, 50883, 51067, 53336, 50929, 50921, 51076, 50921, 50425, 50960, 50883, 51067, 53087, 57504, 55784, 51057, 51076, 51160, 51067, 69321, 60405, 51032, 52422, 55046, 60183, 51207, 56925, 55046, 60183, 51057, 50947, 50921, 52562, 50980, 50986, 50980, 51078, 50980, 50419, 51169, 53336, 50947, 54007, 51032, 62518, 51076, 53087, 51574, 50806, 62979, 56406, 55046, 51057, 51563, 52774, 64252, 58870, 51563, 52247, 60266, 75193, 51563, 52309, 54765, 55784, 51786, 50806, 51057, 59077, 55046, 60183, 51292, 52774, 51067, 50880, 60266, 56406, 55046, 50422, 51316, 56299, 51076, 62588, 51316, 53087, 51444, 50821, 60217, 65222, 51067, 55104, 50960, 52686, 50960, 53660, 60217, 51057, 59400, 70442, 51067, 50980, 50417, 50960, 53113, 59400, 51076, 54007, 60217, 50425, 51563, 53087, 60405, 64687, 51563, 75101, 60217, 50431, 51786, 52975, 51786, 50880, 60405, 51032, 62500, 51292, 53660, 60217, 50437, 51067, 50883, 51057, 65222, 60405, 51067, 58718, 50960, 53113, 65222, 60405, 51067, 54901, 50960, 52422, 59400, 70442, 51292, 57200, 50960, 52686, 59400, 70442, 51067, 55246, 60217, 51057, 59400, 70442, 51067, 50980, 50417, 50960, 53113, 51169, 50821, 51076, 54007, 60217, 50425, 51563, 53087, 60405, 64687, 51563, 75101, 60217, 50431, 51786, 52975, 51786, 50883, 60405, 51032, 62500, 51292, 53660, 60217, 50437, 51067, 50883, 51057, 65222, 60405, 51067, 58718, 50960, 53113, 65222, 64687, 51067, 54901, 50960, 52422, 59400, 70442, 51292, 57200, 50960, 52686, 59400, 70442, 51067, 55246, 60217, 51057, 50929, 50812, 78578, 51067, 58718, 50929, 50812, 51076, 52871, 51078, 50812, 76522, 51067, 54901, 51078, 50812, 50947, 52710, 63126, 50812, 51067, 58814, 63126, 64123, 51316, 52265, 63126, 61482, 54241, 63126, 50812, 51057, 66483, 51078, 50812, 51076, 61410, 66483, 51078, 72294, 74182, 51067, 52302, 66483, 57103, 51032, 60134, 66483, 57103, 50425, 51076, 52630, 77135, 50986, 51124, 50998, 65903, 50947, 50803, 51057, 51076, 50883, 78972, 79391, 50416, 50947, 59630, 51169, 63267, 50947, 54658, 51032, 61135, 51076, 56299, 51067, 62588, 51032, 53087, 75426, 78972, 79391, 50428, 50947, 57850, 51169, 60759, 50947, 52726, 51076, 62268, 51032, 56486, 51316, 62256, 51067, 50880, 51057, 51549, 64664, 51292, 55804, 51076, 64941, 51067, 54658, 51316, 59013, 50998, 54381, 51076, 62588, 50947, 53087, 62979, 55046, 51444, 77684, 60266, 57504, 51057, 60183, 51067, 52774, 60183, 51067, 52247, 51076, 50980, 51067, 74177, 54432, 52119, 53092, 52674, 51444, 57880, 50947, 50883, 51032, 50883, 51057, 51207, 50858, 55046, 51076, 58718, 51311, 54718, 74582, 57504, 50947, 54901, 51444, 51973, 51207, 50893, 51311, 50893, 50929, 52309, 54432, 50802, 51057, 79391, 50929, 50893, 51032, 52774, 78972, 50929, 50893, 51292, 52247, 51311, 50893, 50929, 50893, 51067, 52309, 51563, 65109, 51786, 59382, 51292, 55135, 51067, 65925, 51032, 60281, 51076, 50883, 51057, 60405, 64687, 50419, 50960, 50883, 51067, 53336, 59400, 51076, 68057, 50960, 50883, 51067, 53087, 57504, 55784, 51057, 54765, 60183, 51067, 52774, 54765, 60183, 51067, 52247, 50960, 50980, 51076, 50980, 51067, 74177, 54432, 54154, 53092, 55632, 51444, 64141, 50986, 50883, 50947, 50883, 51032, 50883, 51057, 51311, 50821, 51207, 50893, 55046, 51076, 58718, 50960, 53113, 52562, 50893, 57504, 50947, 54901, 50986, 52422, 51574, 50806, 62979, 56406, 50929, 52309, 51563, 50980, 51057, 51317, 50980, 50929, 50980, 51064, 59217, 51786, 54007, 51292, 52422, 67961, 60183, 51067, 55246, 70442, 51057, 75426, 51444, 50980, 50986, 50980, 50416, 50947, 56092, 51032, 60861, 51076, 53336, 51067, 57646, 51032, 55133, 50947, 62518, 51078, 53087, 50986, 51160, 50947, 51160, 54432, 51362, 54432, 51059, 50435, 62979, 55046, 51038, 50423, 54765, 50429, 55046, 50435, 54432, 50803, 51064, 51160, 51057, 51246, 50821, 50960, 56191, 51246, 50821, 50960, 53113, 50947, 50883, 51246, 50821, 60217, 50422, 50929, 55133, 54432, 50821, 51078, 55889, 67911, 73711, 50428, 50929, 55212, 54432, 50821, 50947, 57359, 67911, 51136, 62500, 51078, 55135, 54432, 50821, 55046, 51057, 51246, 50821, 50960, 56191, 51246, 50821, 51317, 53113, 51246, 50821, 50960, 54007, 54432, 50806, 55046, 50429, 51064, 55246, 54432, 51066, 51067, 50980, 51057, 51246, 50821, 50960, 56191, 50929, 53113, 51246, 50821, 60217, 50422, 51067, 55133, 51549, 50806, 54432, 62819, 67911, 51136, 55104, 51563, 52309, 67911, 51136, 53660, 51246, 50980, 50960, 50980, 51067, 50980, 51057, 54432, 54024, 53271, 52244, 51444, 52801, 59077, 54765, 50429, 55046, 50435, 51064, 51160, 54432, 51066, 51057, 50960, 56191, 51136, 52774, 50947, 59013, 50929, 55133, 73513, 50970, 52247, 51311, 55104, 56488, 60494, 50970, 55246, 60888, 53271, 50802, 54765, 51057, 50970, 56191, 50929, 53113, 50947, 54007, 60848, 51444, 62819, 60217, 50970, 55104, 57566, 51169, 52309, 51076, 53660, 52562, 50893, 60106, 51057, 73711, 50929, 56191, 51574, 50893, 51064, 52774, 51317, 50821, 50929, 54007, 51504, 50893, 51064, 52247, 60217, 50970, 55104, 60405, 51504, 50893, 56488, 51136, 52309, 50929, 59382, 50947, 55135, 51246, 50893, 50960, 50893, 60848, 61245, 53271, 54433, 51246, 50821, 60848, 51067, 52247, 50986, 55104, 60217, 60848, 51067, 52309, 51136, 53660, 60888, 60848, 60106, 51057, 51504, 56191, 55784, 51032, 52774, 52028, 54007, 73837, 55784, 51064, 52247, 51131, 55104, 51246, 50821, 55046, 51064, 52309, 50986, 53660, 60217, 55046, 55784, 51057, 51444, 56191, 57504, 51067, 52774, 50960, 54007, 51067, 52247, 73711, 50929, 55104, 60405, 51032, 52309, 50929, 53660, 57504, 60106, 51057, 50960, 56191, 73711, 55046, 51064, 52774, 50960, 54007, 56488, 55046, 55784, 50429, 68433, 55046, 50947, 55246, 54765, 55784, 61245, 51444, 54433, 54765, 50429, 55046, 50435, 54432, 50803, 51064, 51160, 51057, 51246, 50821, 50960, 56191, 51246, 50821, 50960, 53113, 50947, 50883, 51246, 50821, 60217, 50422 ]
[ 0, 713, 15352, 30054, 5175, 2214, 11, 274, 538, 1575, 10, 11739, 9, 21072, 6, 7304, 4627, 6, 21979, 8669, 6, 38668, 3038, 6, 8, 38668, 22052, 4, 590, 10, 20889, 9, 22619, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 6670, 10, 19448, 8, 1372, 5466, 4, 20, 33215, 16739, 9, 230, 6, 163, 428, 6, 8, 274, 35315, 5705, 1328, 5, 2125, 6, 1271, 7, 63, 33033, 3184, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 62147, 59771, 51874, 57817, 51874, 57356, 51874, 58020, 51874, 59352, 51874, 57824, 51874, 56974, 51874, 50937, 68615, 59771, 52490, 57817, 52490, 57356, 52999, 58020, 52999, 59352, 52999, 57824, 52999, 56974, 52999, 50937, 62147, 59771, 51874, 57817, 51874, 57356, 51874, 58020, 51874, 59352, 51874, 57824, 51874, 56974, 51874, 50937, 68615, 59771, 52490, 57817, 52490, 57356, 52999, 58020, 52999, 59352, 52999, 57824, 52999, 56974, 52999, 50937, 62147, 59771, 51874, 57817, 51874, 57356, 51874, 58020, 51874, 59352, 51874, 57824, 51874, 56974, 51874, 50937, 68615, 59771, 52490, 57817, 52490, 57356, 52999, 58020, 52999, 59352, 52999, 57824, 52999, 56974, 52999, 50937, 62147, 59771, 51874, 57817, 51874, 57356, 51874, 58020, 51874, 59352, 51874, 57824, 51874, 56974, 51874, 50937, 68615, 50937, 74010, 50977, 60423, 56202, 52490, 57817, 52490, 50937, 74010, 50938, 60423, 57943, 52999, 58020, 52999, 59352, 52999, 50937, 74010, 50938, 60423, 55178, 52999, 50937, 50706, 50306, 50924, 58260, 57431, 52999, 50937, 69220, 50865, 65405, 50865, 62147, 50937, 68657, 79185, 50727, 50309, 55377, 50798, 51377, 50420, 51874, 50937, 50727, 50309, 55377, 50913, 54278, 51874, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 51874, 50937, 50986, 51047, 50970, 51047, 50947, 51047, 50727, 50309, 53840, 50937, 53226, 50913, 54014, 51874, 50937, 50727, 50309, 55377, 50798, 51056, 50444, 51874, 50937, 50727, 50321, 55377, 50913, 54356, 51874, 50937, 50727, 50309, 55377, 50816, 51377, 50456, 51874, 50937, 50727, 50309, 55377, 50913, 50866, 68615, 50937, 51246, 50866, 61414, 65899, 50727, 50321, 55377, 50798, 51377, 50420, 52490, 50937, 50727, 50309, 55377, 50913, 54278, 52490, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 52999, 50937, 51246, 51047, 51136, 51047, 50929, 51047, 50727, 50309, 53840, 50937, 53226, 50913, 54014, 52999, 50937, 50727, 50309, 53840, 50937, 53226, 50444, 52999, 50937, 70210, 50866, 70776, 53840, 50937, 53226, 50913, 54356, 52999, 50937, 50727, 50318, 50866, 50727, 50330, 55377, 50913, 56466, 77304, 52999, 50937, 50727, 50321, 50866, 50727, 50333, 55377, 50913, 50866, 62147, 50937, 68657, 79185, 50727, 50309, 55377, 50798, 51377, 50420, 51874, 50937, 50727, 50309, 55377, 50913, 54278, 51874, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 51874, 50937, 50986, 51047, 50970, 51047, 50947, 51047, 50727, 50309, 53840, 50937, 53226, 50913, 54014, 51874, 50937, 50727, 50309, 55377, 50798, 51056, 50444, 51874, 50937, 50727, 50321, 55377, 50913, 54356, 51874, 50937, 50727, 50309, 55377, 50816, 51377, 50456, 51874, 50937, 50727, 50309, 55377, 50913, 50866, 68615, 50937, 51246, 50866, 51136, 50866, 63124, 50727, 50321, 55377, 50798, 51377, 50420, 52490, 50937, 50727, 50309, 55377, 50913, 54278, 52490, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 52999, 50937, 51246, 51047, 50960, 51047, 50970, 51047, 50727, 50309, 53840, 50937, 53226, 50913, 54014, 52999, 50937, 50727, 50309, 53840, 50937, 53226, 50444, 52999, 50937, 70210, 50866, 70776, 53840, 50937, 53226, 50913, 50866, 51889, 54356, 52999, 50937, 50727, 50318, 50866, 50727, 50330, 55377, 50913, 50866, 51889, 56466, 77304, 52999, 50937, 50727, 50321, 50866, 50727, 50333, 55571, 57733, 50866, 62147, 50937, 68657, 79185, 50727, 50309, 55377, 50798, 51377, 50420, 51874, 50937, 50727, 50309, 55377, 50913, 54278, 51874, 50937, 50727, 50321, 50866, 61019, 56466, 50937, 53226, 50432, 51874, 50937, 50986, 51047, 50970, 51047, 50947, 51047, 50727, 50309, 50866, 61019, 53840, 50937, 53226, 50913, 54014, 51874, 50937, 50727, 50309, 55377, 50798, 51056, 50439, 57727, 60182, 51874, 50937, 50727, 50321, 55377, 50913, 54356, 51874, 50937, 50727, 50309, 55377, 50816, 51377, 50456, 51874, 50937, 50727, 50309, 55377, 50913, 50866, 50457, 59595, 50866, 68615, 50937, 51246, 50866, 61414, 65899, 50727, 50321, 55377, 50798, 51377, 50415, 62217, 55085, 52490, 50937, 50727, 50309, 55377, 50913, 50866, 50421, 62217, 54278, 52490, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 52999, 50937, 51246, 51047, 51136, 51047, 50929, 51047, 50727, 50309, 50866, 62217, 59084, 50937, 53226, 50913, 54014, 52999, 50937, 50727, 50309, 53840, 50937, 53226, 50444, 52999, 50937, 70210, 50866, 70776, 53840, 50937, 53226, 50913, 54356, 52999, 50937, 50727, 50318, 50866, 50727, 50330, 55377, 50913, 56466, 77304, 52999, 50937, 50727, 50321, 50866, 50727, 50333, 55377, 50913, 50866, 50457, 62217, 50866, 62147, 50937, 68657, 79185, 50727, 50309, 50866, 61019, 55377, 50798, 51377, 50420, 51874, 50937, 50727, 50309, 50866, 61019, 55377, 50913, 50866, 50425, 61019, 54278, 51874, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 51874, 50937, 50986, 51047, 50970, 51047, 50947, 51047, 50727, 50309, 50866, 61019, 53840, 50937, 53226, 50913, 54014, 51874, 50937, 50727, 50309, 50866, 57727, 51025, 53226, 50798, 51056, 50444, 51874, 50937, 50727, 50321, 55377, 50913, 54356, 51874, 50937, 50727, 50309, 50866, 61019, 51025, 53226, 50816, 51377, 50456, 51874, 50937, 50727, 50309, 55377, 50913, 50866, 68615, 50937, 51246, 50866, 51136, 50866, 63124, 50727, 50321, 50866, 59595, 55377, 50798, 51377, 50420, 52490, 50937, 50727, 50309, 55377, 50913, 50866, 50421, 62217, 54278, 52490, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 52999, 50937, 51246, 51047, 50960, 51047, 50970, 51047, 50727, 50309, 50866, 62217, 59084, 50937, 53226, 50913, 54014, 52999, 50937, 50727, 50309, 53840, 50937, 53226, 50444, 52999, 50937, 70210, 50866, 70776, 53840, 50937, 53226, 50913, 54356, 52999, 50937, 50727, 50318, 50866, 50727, 50330, 55377, 50913, 56466, 77304, 52999, 50937, 50727, 50321, 50866, 50727, 50333, 55571, 57733, 50866, 50457, 62217, 50866, 62147, 50937, 68657, 79185, 50727, 50309, 55377, 50798, 51377, 50415, 61019, 55085, 51874, 50937, 50727, 50309, 50866, 61019, 55377, 50913, 54278, 51874, 50937, 50727, 50321, 50866, 61019, 56466, 50937, 53226, 50432, 51874, 50937, 50986, 51047, 50970, 51047, 50947, 51047, 50727, 50309, 50866, 61019, 53840, 50937, 53226, 50913, 54014, 51874, 50937, 50727, 50309, 50866, 57727, 55377, 50798, 51056, 50444, 51874, 50937, 50727, 50321, 50866, 57727, 55377, 50913, 50866, 50449, 61019, 54356, 51874, 50937, 50727, 50309, 55377, 50816, 51377, 50455, 61019, 54752, 51874, 50937, 50727, 50309, 55377, 50913, 50866, 68615, 50937, 51246, 50866, 61414, 65899, 50727, 50321, 50866, 59595, 55377, 50798, 51377, 50420, 52490, 50937, 50727, 50309, 50866, 62217, 55377, 50913, 54278, 52490, 50937, 50727, 50321, 50866, 62217, 56466, 50937, 53226, 50432, 52999, 50937, 51246, 51047, 51136, 51047, 50929, 51047, 50727, 50309, 50866, 62217, 59084, 50937, 53226, 50913, 54014, 52999, 50937, 50727, 50309, 53840, 50937, 53226, 50444, 52999, 50937, 70210, 50866, 70776, 53840, 50937, 53226, 50913, 54356, 52999, 50937, 50727, 50318, 50866, 50727, 50330, 50866, 62217, 55377, 50913, 56466, 77304, 52999, 50937, 50727, 50321, 50866, 50727, 50333, 50866, 62217, 55377, 50913, 50866, 62147, 50937, 68657, 79185, 50727, 50309, 50866, 61019, 51025, 53226, 50798, 51377, 50420, 51874, 50937, 50727, 50309, 55377, 50913, 54278, 51874, 50937, 50727, 50321, 50866, 61019, 56466, 50937, 53226, 50432, 51874, 50937, 50986, 51047, 50970, 51047, 50947, 51047, 50727, 50309 ]
[ 0, 713, 19834, 2125, 6, 19, 10, 2842, 9, 5175, 2712, 6, 7630, 6568, 10, 12298, 1619, 4780, 4, 27901, 10, 20535, 2810, 6, 32909, 6, 1076, 560, 31365, 25999, 6, 21072, 6, 8, 21979, 9590, 6, 24, 11498, 10, 23758, 3938, 20889, 11, 132, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 5, 15229, 24536, 10, 33215, 13931, 9, 211, 119, 6, 211, 119, 406, 6, 8, 274, 119, 6, 8216, 7, 63, 25306, 8, 32076, 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 ]	[ 69781, 51038, 51038, 50422, 51831, 50811, 52103, 50811, 52334, 57485, 52457, 50811, 52719, 50811, 53689, 50811, 50799, 51831, 51505, 56724, 54430, 52832, 54430, 51721, 53501, 50798, 54188, 50918, 51206, 51469, 51098, 51300, 55282, 52570, 52103, 51795, 60671, 52570, 50422, 51667, 51932, 50804, 50880, 52334, 50823, 51898, 53537, 50843, 56153, 50386, 54118, 78137, 51831, 54168, 56503, 55004, 50830, 53689, 50803, 52334, 52674, 51389, 53663, 51667, 51505, 50804, 57148, 51014, 51065, 50918, 52334, 51732, 51898, 51795, 50446, 51643, 51932, 50798, 54738, 51045, 51913, 50811, 51683, 55059, 51098, 64978, 55557, 56153, 72634, 53240, 51072, 50458, 51667, 54627, 56715, 55063, 50940, 52103, 51732, 51913, 50811, 55985, 50862, 71756, 70958, 67225, 50918, 52078, 51407, 51913, 51184, 51683, 51732, 50422, 51831, 51932, 50804, 50385, 53830, 50830, 73383, 51509, 51973, 50843, 56153, 50386, 54118, 51045, 50429, 51154, 50359, 50413, 50434, 52457, 53056, 56503, 63148, 50910, 51898, 52737, 51485, 52057, 51831, 51505, 50804, 55790, 51033, 51065, 51112, 51485, 52737, 51509, 51795, 50443, 51093, 50359, 50413, 50445, 51389, 51029, 50446, 51667, 51932, 50804, 56153, 55004, 51045, 51713, 50803, 52002, 52116, 50798, 52847, 60456, 51112, 50452, 51113, 50359, 50413, 50458, 51831, 54627, 56153, 55004, 50940, 51648, 50817, 51713, 50817, 75799, 70958, 67225, 50918, 51098, 51300, 51713, 51795, 52002, 51352, 50422, 51643, 51932, 50804, 50880, 52067, 50803, 52629, 51973, 50843, 56153, 50386, 54118, 78137, 51667, 53235, 56503, 55004, 50830, 51273, 50824, 51509, 51300, 52067, 52952, 51643, 56421, 57148, 51014, 51065, 50918, 52306, 50860, 52067, 50823, 52629, 56695, 51643, 56701, 57148, 51045, 51140, 50894, 52306, 50803, 52067, 50803, 52629, 52116, 51667, 56562, 52847, 50880, 51216, 50976, 52002, 50976, 52067, 70937, 51326, 59672, 51643, 56421, 57148, 50940, 51206, 51469, 51098, 50976, 55282, 51012, 52103, 51012, 51683, 51012, 51713, 51012, 52002, 50802, 52306, 50802, 52334, 50860, 51431, 50860, 51509, 50860, 52067, 50860, 52629, 50860, 51528, 50867, 57493, 54658, 50804, 58741, 63701, 52369, 52185, 52369, 51643, 52369, 51728, 54118, 50940, 51335, 51585, 51705, 51795, 54961, 53435, 51906, 53435, 51888, 54055, 52747, 51795, 54348, 51795, 51723, 51795, 52264, 51795, 52629, 51795, 55558, 51795, 50426, 50913, 50921, 57096, 50880, 58523, 63027, 57148, 51045, 51868, 51527, 53550, 62505, 51456, 69354, 51289, 50386, 54118, 50940, 54021, 63399, 52723, 53120, 56365, 51014, 50454, 51326, 69312, 51289, 56365, 51014, 50461, 51643, 51795, 51993, 51795, 50799, 52832, 51655, 51831, 51469, 51667, 52017, 50798, 52374, 51091, 51206, 51469, 71831, 50425, 50665, 50309, 51010, 51302, 55557, 50385, 54118, 55968, 51500, 52419, 50976, 55865, 52266, 52664, 52369, 52103, 52266, 51913, 52266, 57350, 50962, 54595, 50962, 52334, 69696, 65745, 50830, 57411, 56341, 50913, 72644, 50918, 52157, 51066, 50439, 67823, 57915, 50798, 54738, 51045, 57350, 50962, 54595, 50962, 52334, 53595, 66509, 52279, 51864, 56332, 50880, 52659, 51066, 50457, 51643, 51045, 52113, 79191, 64229, 50940, 50461, 51643, 50817, 52372, 51352, 51375, 51307, 51357, 51655, 51107, 51492, 50799, 52457, 51238, 51831, 51685, 52135, 52282, 51633, 66984, 56707, 50918, 51522, 50976, 56636, 52282, 52719, 52311, 52103, 52282, 52310, 52282, 57929, 50962, 53689, 50962, 52334, 50930, 50421, 52226, 70838, 52834, 50830, 55366, 59214, 51633, 55447, 51633, 51552, 66509, 52279, 51864, 56332, 50385, 54118, 51045, 51668, 51066, 58523, 50836, 51340, 53830, 50910, 57929, 50930, 53689, 50880, 52334, 53116, 78525, 53914, 66097, 50918, 51389, 51066, 58313, 51388, 53689, 51505, 52334, 50911, 50446, 51633, 51010, 51831, 50882, 52135, 56701, 55790, 51045, 51648, 50950, 52719, 50950, 52103, 50950, 52310, 50950, 53689, 50962, 57929, 50962, 52334, 55510, 51633, 50811, 53179, 51670, 51421, 56332, 50880, 51668, 72747, 51633, 50811, 51993, 58150, 52135, 50811, 51633, 51010, 52113, 50811, 51831, 50882, 52135, 56701, 50880, 63506, 50940, 51389, 50930, 52719, 50950, 52103, 50950, 52310, 50950, 51648, 50950, 52334, 51010, 57929, 50962, 53689, 50962, 51528, 52716, 50918, 51098, 51066, 51088, 50359, 50412, 51165, 53520, 50415, 52185, 50817, 51652, 50860, 51643, 50860, 50416, 50665, 50311, 57646, 52457, 51031, 51652, 51031, 51721, 50962, 51652, 51407, 51643, 54217, 52719, 51010, 51963, 51010, 51906, 50962, 51776, 51010, 51898, 50930, 51485, 50883, 51579, 50962, 52336, 50962, 51302, 51864, 56332, 50385, 54118, 51014, 51261, 61536, 72842, 74958, 63506, 50830, 51098, 56341, 52457, 51021, 51652, 51021, 51667, 50911, 66346, 53607, 72644, 50918, 51150, 51066, 51898, 50930, 51485, 50880, 51579, 50962, 52336, 51010, 50445, 54295, 50962, 52719, 51010, 51963, 50962, 51648, 75568, 51652, 50949, 52457, 50930, 51721, 55146, 54738, 68280, 52457, 50975, 51652, 57432, 51864, 56332, 50880, 51868, 51066, 50458, 64229, 50940, 51898, 50930, 52336, 50962, 51485, 50930, 51579, 59426, 66346, 74380, 52457, 51029, 51667, 51029, 51528, 56707, 50918, 51389, 51066, 55282, 50962, 52719, 51010, 51963, 51010, 51906, 72255, 66509, 57646, 53867, 50940, 58313, 50823, 51723, 53537, 52457, 51031, 51652, 51031, 51721, 56106, 51864, 56332, 57148, 50921, 51150, 50976, 51898, 50894, 51485, 50930, 51579, 50962, 52336, 50962, 57350, 63043, 58313, 59225, 51723, 53695, 57350, 50854, 51898, 58645, 52457, 51029, 51652, 51029, 55282, 51010, 54295, 50962, 51963, 51010, 51648, 73312, 72842, 55146, 50836, 64229, 51045, 51098, 61023, 60671, 50808, 52039, 52599, 51652, 51110, 67823, 52625, 51112, 51261, 50803, 57350, 50806, 51898, 50806, 51485, 50893, 51579, 51286, 52067, 51388, 50442, 51098, 50882, 50445, 55282, 51055, 54295, 51290, 51963, 51055, 51648, 51055, 50446, 51652, 50949, 52457, 50930, 51721, 56106, 50385, 54118, 50940, 51273, 50930, 58313, 51010, 51723, 50962, 51485, 50962, 51579, 50930, 52336, 78574, 50665, 50311, 55510, 52457, 59569, 52847, 55790, 72644, 51112, 51216, 51066, 50458, 51721, 50803, 52226, 51779, 55790, 51014, 55282, 51010, 54295, 50962, 51963, 51010, 51648, 50962, 50460, 51667, 50949, 51154, 51538, 51113, 51538, 51093, 51538, 50461, 51667, 51407, 51633, 51407, 50799, 55066, 51264, 52832, 51655, 51831, 51469, 51667, 52017, 50798, 52716, 50918, 51140, 54107, 50665, 50309, 51779, 51864, 56332, 50385, 54118, 51014, 52419, 50976, 52664, 50962, 52103, 50962, 51913, 51010, 57350, 50962, 54595, 50962, 52334, 69696, 63506, 50830, 57411, 56341, 50913, 72644, 50918, 52157, 51066, 52664, 50923, 52103, 50923, 51963, 51012, 50439, 67823, 57276, 51667, 50823, 51643, 50860, 60260, 54738, 51045, 52664, 50930, 52103, 50890, 51913, 50930, 57350, 50962, 54595, 50962, 52334, 61925, 51831, 50803, 52135, 64978, 51864, 56332, 50880, 52659, 51066, 50453, 51667, 50803, 51643, 52163, 51667, 51031, 51667, 50817, 51643, 51031, 51633, 57303, 66509, 65083, 64229, 50940, 52664, 50962, 52103, 50962, 51913, 51010, 50460, 51643, 51009, 52200, 51009, 51093, 51294, 51395, 51204, 51182, 51091, 50461, 74771, 50811, 50799, 67500, 51077, 56724, 51336, 52832, 51196, 52770, 51551, 50798, 56707, 50918, 51461, 50976, 65015, 51175, 53689, 51167, 50422, 52834, 50830, 51461, 50930, 50707, 50295, 50949, 53709, 50890, 51302, 51864, 56332, 50385, 54118 ]
[ 0, 250, 33928, 5175, 1619, 2214, 19, 10, 19834, 16464, 6, 4246, 10, 6755, 12547, 6, 38668, 22052, 6, 2382, 3459, 8669, 6, 18558, 6, 8, 21979, 9590, 4, 8504, 11, 83, 538, 19, 10, 231, 73, 398, 86, 6543, 6, 24, 3136, 23, 10, 11956, 38451, 3938, 20889, 6, 2351, 10, 15352, 30054, 8, 33558, 5466, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50627, 52112, 51544, 50863, 51570, 52805, 52112, 50462, 51970, 50474, 51970, 51540, 51389, 51896, 50899, 50858, 50989, 50858, 50877, 55110, 54005, 50860, 53337, 75965, 62391, 50955, 51361, 53219, 50899, 50812, 59289, 50877, 51373, 53938, 51389, 51091, 51185, 51074, 52165, 51376, 52110, 51376, 55943, 71066, 50952, 50989, 77439, 54312, 52633, 50364, 51071, 50952, 50462, 51668, 59153, 50859, 63282, 61233, 59640, 50930, 50474, 51216, 59153, 50942, 68532, 57634, 59640, 50880, 51540, 51098, 51358, 50899, 50800, 58882, 50973, 52744, 54005, 51010, 53337, 50897, 57660, 71777, 51361, 53219, 50899, 50812, 60569, 50973, 52854, 53938, 51098, 51551, 51810, 51697, 53706, 51074, 55943, 51884, 50899, 50859, 56437, 50973, 55236, 52374, 50364, 51071, 50865, 78092, 50952, 58882, 69315, 52093, 50474, 51668, 65610, 50952, 58882, 50973, 50938, 59640, 50880, 51540, 51216, 51358, 50916, 50952, 64940, 51028, 50952, 51301, 50838, 52091, 53284, 54005, 50950, 50419, 51491, 51277, 52582, 51277, 56248, 50925, 61133, 51028, 50897, 51088, 51309, 51678, 51309, 50431, 51113, 50838, 51701, 50838, 51361, 58414, 51357, 51277, 52252, 51277, 59419, 65840, 50955, 51028, 52854, 63610, 51488, 51481, 52736, 73265, 51216, 50918, 52110, 52179, 55533, 51376, 57288, 78912, 50897, 57634, 74106, 51113, 52034, 51701, 52034, 50791, 50364, 51053, 56701, 56974, 51357, 51212, 52252, 51212, 50462, 68899, 61133, 72814, 52093, 50463, 51488, 50933, 52736, 50933, 50468, 51107, 51277, 52009, 51277, 50474, 51493, 51048, 50916, 65840, 50955, 51028, 50897, 51266, 51058, 52295, 51058, 59640, 50882, 50479, 51600, 51277, 53608, 51277, 50485, 51488, 50838, 52736, 50838, 51540, 51216, 51218, 50916, 65840, 50955, 51028, 57837, 54005, 60442, 51107, 52059, 52009, 52059, 50425, 51266, 51277, 52295, 51277, 56248, 50897, 61133, 51028, 50925, 50431, 51600, 51006, 53608, 51006, 51361, 58414, 51182, 51277, 52471, 51277, 62145, 52434, 50308, 50897, 61133, 51028, 57567, 51864, 63610, 51284, 50974, 53051, 50974, 50448, 51558, 50972, 54415, 55437, 67488, 51403, 51365, 52110, 51074, 55533, 51365, 70489, 57634, 51028, 55588, 53111, 50364, 51053, 50894, 50455, 51905, 51376, 55031, 51376, 50460, 51384, 51172, 54155, 51172, 50462, 51672, 51009, 51705, 70660, 65840, 50955, 51028, 50897, 75194, 52773, 50894, 50467, 51733, 50838, 55697, 50838, 50473, 52405, 51309, 61570, 51309, 50474, 51493, 50889, 51403, 50907, 52110, 51884, 55533, 57800, 50308, 65840, 50955, 51028, 50897, 59640, 54092, 50894, 50479, 51926, 51309, 56141, 51309, 50485, 52487, 54143, 60541, 54143, 51540, 51249, 50824, 51273, 51358, 50899, 50952, 59289, 50877, 55593, 51920, 57888, 51973, 51719, 65240, 50955, 66908, 50877, 50917, 51361, 53219, 75902, 59289, 50877, 55744, 53938, 51273, 51336, 55943, 51470, 51185, 51365, 52165, 51365, 52110, 51365, 75818, 63435, 50877, 55593, 50364, 51053, 56701, 50952, 50462, 51465, 65240, 50808, 66908, 72733, 52093, 50474, 51410, 50824, 51705, 64209, 50897, 50989, 65840, 50897, 59640, 50821, 51540, 51465, 51352, 51216, 51623, 51040, 50859, 65927, 50877, 51420, 54005, 56519, 51040, 50844, 50916, 65840, 50897, 51361, 53219, 63489, 50916, 77439, 53330, 53938, 67488, 55533, 51376, 51403, 51210, 52110, 52216, 50305, 50844, 74656, 50877, 53330, 50364, 51053, 54627, 50879, 50462, 51719, 50824, 51668, 51159, 51040, 50854, 64001, 71091, 59640, 50859, 50474, 51868, 73685, 50874, 67597, 50877, 50917, 59640, 50882, 51540, 51719, 50824, 51389, 51358, 70798, 59289, 50877, 52854, 54005, 56519, 51465, 65240, 63270, 59903, 50844, 51361, 53219, 51410, 51184, 69308, 66908, 50877, 51373, 53938, 51389, 51112, 51185, 52731, 52165, 51210, 52110, 51862, 55943, 52192, 53477, 51004, 50899, 74127, 60268, 51575, 50364, 51053, 54047, 55037, 50973, 50849, 50462, 51668, 58421, 50917, 59640, 50858, 50474, 51216, 62525, 50822, 59289, 59755, 59640, 50859, 51540, 51389, 51358, 70798, 59289, 50877, 52854, 54005, 51033, 53337, 63270, 59903, 50844, 51361, 53219, 69308, 66908, 50877, 51373, 53938, 51389, 50889, 51185, 50984, 52165, 50984, 52110, 50907, 55943, 52179, 53477, 50982, 50899, 74127, 60268, 51575, 50364, 51053, 52997, 58603, 50973, 50849, 50462, 51668, 51056, 50877, 50917, 59640, 50859, 50474, 51410, 50824, 67488, 51185, 51210, 52110, 51365, 55943, 51365, 52165, 50984, 53477, 50982, 60501, 59289, 59755, 59640, 50859, 51540, 51672, 51352, 51098, 52282, 51902, 54373, 51612, 52720, 52290, 54270, 75818, 65150, 50973, 55744, 54005, 50859, 53337, 50854, 60192, 73186, 51361, 53219, 60833, 60569, 50973, 55999, 53938, 51098, 51336, 51810, 51210, 53706, 51524, 55943, 70279, 50910, 58882, 50973, 55690, 50364, 51053, 54627, 50938, 50462, 51672, 50824, 60509, 62958, 66737, 52093, 50474, 51672, 50824, 51389, 62649, 50942, 60192, 66737, 59640, 50859, 51540, 51231, 51352, 51098, 50983, 75902, 65150, 50973, 55966, 54005, 50882, 53337, 50942, 57660, 50973, 50955, 51361, 53219, 51098, 65159, 50897, 57660, 50973, 50977, 51718, 51053, 54721, 51098, 51226, 51810, 51365, 53706, 51210, 55943, 53536, 50306, 50925, 62958, 50973, 55325, 50364, 51053, 54627, 50879, 50462, 51249, 50824, 51668, 62525, 50942, 62958, 50973, 50866, 59640, 50859, 50474, 51672, 50824, 51868, 59153, 50897, 62958, 50973, 50866, 59640, 50858, 50485, 52974, 54373, 51540, 51672, 50824, 51389, 51896, 51584, 52720, 75818, 50989, 59035, 56879, 54005, 54856, 51249, 51352, 69505, 59289, 50877, 50977, 51361, 53219, 60833, 66908, 50877, 55966, 53938, 51389, 50918, 51185, 51824, 52165, 51824, 52110, 51365, 55943, 55505, 50306, 50942, 59289, 50877, 56522, 50364, 51053, 56701, 51173, 50462, 70537, 66908, 50877, 50937, 52093, 50474, 51216, 64815, 50942, 59289, 57634, 59640, 50859, 51540, 51389, 51191, 70537, 59289, 50877, 55966, 54005, 50950, 53337, 50925, 77663, 50877, 56799, 51389, 50836, 62246, 51389, 50812, 60833, 66908, 50877, 60175, 51864, 53938, 51389, 51091, 55943, 51824, 51185, 52192, 52165, 51365, 52110, 51365, 60509, 77663, 50877, 55966, 50364, 51053, 54092, 50873, 50462, 51668, 51159, 70537, 68532, 64940, 59640, 50800, 50474, 51410, 50824, 51216, 50889, 51185, 52731, 52165, 52192, 52110, 52179, 55943, 51470, 53477, 50928, 70537, 77663, 64940, 59640, 54047, 51227, 51540, 51672, 51184, 51098, 51091, 52290, 59828, 51902, 69103, 60833, 68929, 50973, 54260, 51920, 54020, 51973, 74372, 60569, 50973, 60539, 51098, 51421, 53219, 51098, 50897, 60833, 60569, 50973, 50955, 59284, 53938, 51098, 51294, 51185, 51166, 51810, 51074, 53706, 51737, 55943, 52511, 50306, 50942, 56437, 50973, 50987, 62857, 50364, 51071, 51215, 50462, 51672, 50824, 51273, 62525, 50942, 56437, 50973, 50955, 59640, 50930, 50474, 51098, 59153, 50910, 57660, 50973, 50917, 59640, 50962, 50484, 52792, 50361, 50411, 50485, 52170, 56004, 52075, 57771, 51540, 52109, 51352, 51216, 51161, 74656, 50877, 52415, 50317, 54260, 54005, 54856, 61412, 62804, 51028, 50955, 51361, 53219, 70584, 62804, 51028, 55966, 53938, 51984, 50889, 51403, 52782, 52110, 51074, 55533, 53536, 50308, 65840, 50955, 51028, 57837, 50364, 51053, 52997, 51238, 50462, 51672, 50824, 51868, 51191, 50916, 66388, 50959, 80152, 59640, 50894, 50474, 52109, 50824, 51216, 51159, 50916, 66388, 52415, 50317, 50866, 59640, 50950, 50485, 51584, 50362, 50411, 52974, 57598, 51612, 52720, 51540 ]
[ 0, 250, 19448, 8, 5679, 26709, 3495, 2214, 19, 10, 19834, 16464, 6, 4246, 10, 13305, 483, 7513, 30, 21040, 2426, 6, 6755, 12547, 6, 23338, 33518, 1264, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 38451, 3938, 20889, 6, 2351, 10, 32625, 5466, 4, 20, 33215, 16739, 9, 272, 6, 230, 6, 272, 6, 3676, 6, 8, 230, 3639, 7, 63, 15352, 30054, 16426, 6, 442, 24, 10, 1969, 2564, 13, 10, 1619, 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 ]	[ 57333, 50796, 50458, 54437, 63309, 50460, 52769, 55490, 51434, 57015, 51774, 55490, 51607, 50870, 50799, 52817, 52644, 51085, 55490, 51615, 71620, 52043, 50825, 51992, 51022, 52969, 53413, 50798, 52101, 50415, 52257, 52944, 51026, 57232, 53523, 52407, 64185, 52011, 50798, 52101, 62204, 53588, 58365, 54829, 59758, 54211, 72407, 52460, 50457, 54437, 58468, 50458, 52769, 58468, 50459, 51434, 59789, 51774, 54829, 50461, 51607, 50904, 53997, 53142, 52043, 54880, 52101, 50415, 52257, 52944, 51026, 53486, 53523, 52136, 64185, 51432, 50798, 52101, 50438, 52817, 51060, 50861, 51637, 51992, 51387, 52969, 74458, 53036, 51100, 50916, 52460, 51656, 52059, 52235, 52192, 53429, 51242, 50449, 52187, 51884, 50450, 54615, 51177, 50900, 51074, 53399, 51387, 56647, 51242, 50455, 53918, 51121, 51711, 52059, 53085, 51387, 54799, 66913, 51026, 74879, 56090, 55776, 50459, 55243, 57232, 50460, 52806, 53866, 50461, 51838, 51333, 51440, 50891, 50799, 54263, 51800, 50289, 52071, 51607, 50825, 53727, 52192, 56216, 61011, 52101, 50415, 52043, 65533, 52807, 52944, 51315, 52980, 50425, 51711, 52063, 50426, 53918, 51043, 51027, 52256, 53085, 51387, 54799, 51337, 50431, 52033, 66595, 50432, 53719, 51313, 50900, 51387, 51971, 53697, 53195, 73506, 52101, 59419, 54829, 55513, 51965, 76400, 54211, 50456, 51315, 51387, 50457, 56090, 53801, 50458, 55243, 53055, 50460, 52806, 54532, 51660, 78584, 51440, 50941, 55547, 53588, 51607, 56630, 52101, 50415, 52043, 53405, 51315, 54829, 57025, 53280, 56014, 53306, 50798, 52101, 50437, 52133, 52482, 50438, 53664, 62430, 53674, 53032, 50974, 50439, 51756, 51387, 50443, 51881, 52063, 50444, 53200, 63327, 51074, 51760, 51387, 52758, 50974, 50449, 53664, 51101, 52133, 52063, 53032, 51328, 76400, 51079, 51756, 51387, 50455, 53200, 51177, 51881, 52482, 58933, 60237, 51760, 53010, 52758, 77228, 51315, 50907, 50457, 54437, 56599, 50458, 53369, 53866, 50459, 51774, 70004, 53664, 52644, 52133, 71620, 51515, 50971, 53032, 53849, 54734, 52335, 51440, 50864, 51756, 54836, 50798, 52101, 50415, 51607, 52944, 51085, 52168, 60643, 52519, 74769, 69206, 52101, 55203, 51703, 69375, 52460, 50450, 51050, 52397, 50455, 58933, 53055, 50456, 51085, 51432, 50457, 54437, 56563, 50459, 53369, 54557, 51774, 63940, 51515, 56772, 51440, 50825, 54734, 54171, 51607, 54880, 52101, 50420, 51085, 54829, 60643, 53674, 74769, 51387, 50798, 52101, 50438, 53664, 61528, 53096, 51756, 53010, 53032, 50974, 50443, 51881, 51884, 50444, 53200, 63663, 50907, 51760, 51387, 52758, 50974, 50449, 53664, 51177, 52133, 51884, 53032, 78271, 51050, 52034, 51756, 51387, 50455, 53200, 50849, 51881, 52059, 54437, 60237, 52758, 56711, 51085, 50984, 51760, 51387, 50457, 52769, 54573, 50459, 51774, 52980, 51660, 68358, 51434, 60863, 53719, 51121, 52033, 56329, 51607, 50864, 53195, 51481, 53997, 52222, 52043, 50864, 51971, 52192, 50420, 52817, 51112, 51026, 52980, 53523, 52256, 51240, 51550, 50431, 52817, 56504, 50916, 51166, 51240, 62913, 52817, 63925, 50995, 51992, 51862, 51170, 65438, 50916, 71852, 66674, 53719, 51100, 50900, 55713, 51550, 50455, 52817, 66313, 51026, 51123, 50457, 53369, 50932, 50459, 51774, 53892, 51515, 78584, 51440, 50863, 51607, 50837, 50799, 53036, 51077, 51247, 50932, 52327, 50864, 52235, 51862, 60284, 52136, 57025, 51432, 51240, 78898, 54437, 66595, 56014, 50984, 52769, 58651, 51240, 51252, 50434, 51774, 51922, 51660, 67171, 51434, 66861, 51607, 55108, 52817, 51359, 51085, 52071, 52043, 50864, 51992, 52192, 51170, 62095, 51026, 72782, 51170, 51252, 55895, 52397, 51236, 67301, 50916, 51387, 54594, 54829, 56440, 55586, 51660, 51709, 54227, 51832, 53523, 52441, 51434, 51481, 52387, 50363, 52272, 60346, 51026, 51387, 51607, 51080, 51756, 57481, 51085, 51961, 51434, 51965, 52387, 76373, 51026, 52011, 51660, 51432, 54227, 50362, 51371, 77137, 51774, 52063, 55895, 53892, 54786, 52514, 50455, 51660, 51862, 50456, 50916, 51269, 56090, 52140, 50457, 55243, 53866, 50459, 52806, 52980, 51774, 65019, 51660, 50971, 50799, 53664, 51734, 50289, 52335, 51440, 50904, 51607, 50904, 50415, 51756, 57711, 51315, 53486, 50426, 53719, 63663, 52256, 51240, 51252, 56014, 51432, 51240, 51252, 50433, 53719, 54975, 50916, 52034, 51170, 51550, 50439, 51971, 51022, 55513, 55073, 51550, 50445, 53664, 55247, 51027, 51079, 51236, 66614, 53719, 51178, 51315, 50912, 58933, 55197, 50458, 54437, 53726, 50459, 53369, 52482, 51515, 74445, 51440, 65540, 51607, 50941, 54734, 51097, 52327, 50886, 51850, 51862, 50415, 52756, 51183, 60284, 52136, 57025, 51387, 51240, 51550, 50431, 54437, 76297, 56014, 50368, 51826, 51550, 50433, 52769, 65527, 50434, 51774, 52503, 50435, 51660, 51123, 50436, 51434, 51142, 50437, 53719, 51151, 51607, 56006, 51085, 51381, 51971, 51862, 51170, 51550, 50439, 52043, 57940, 51026, 55002, 51170, 51550, 55895, 51166, 51236, 66614, 50916, 51697, 53997, 54171, 56978, 55586, 51660, 51466, 54227, 52101, 50425, 51434, 52518, 53523, 52441, 52387, 50362, 52638, 51550, 50431, 51607, 51172, 51756, 52514, 64185, 51697, 50437, 51434, 51961, 52387, 51306, 57267, 52034, 50443, 51660, 52063, 54227, 52514, 65827, 50368, 51937, 51550, 50449, 51774, 53430, 50900, 51074, 50454, 57848, 57032, 50456, 79083, 53722, 53280, 50457, 52769, 52441, 50459, 51614, 51365, 50460, 51434, 71206, 51808, 50851, 50799, 53200, 52415, 50287, 51381, 51669, 50864, 51760, 50367, 53224, 63478, 53200, 50959, 51026, 52519, 50426, 53200, 50955, 51086, 64809, 53200, 64763, 51283, 52190, 56563, 50433, 58933, 52618, 50435, 53722, 56615, 50436, 51614, 50971, 53369, 52048, 50437, 51434, 53018, 51247, 51381, 51808, 50864, 51971, 51128, 50439, 51669, 60362, 53719, 68247, 51050, 51965, 50450, 52756, 51807, 50303, 51079, 51850, 60272, 69271, 50656, 50284, 53838, 50459, 55243, 52618, 51660, 51128, 50460, 51434, 78584, 51992, 51128, 50799, 52817, 51116, 51841, 51097, 51607, 50372, 53224, 51252, 50415, 52043, 54202, 51315, 51965, 50426, 52817, 65117, 51166, 50431, 58933, 61124, 64185, 51022, 54437, 54557, 52190, 51737, 50434, 53369, 54557, 50435, 51774, 50984, 50436, 51515, 64964, 51440, 53945, 53664, 51692, 51247, 52335, 51607, 50864, 51756, 56537, 50606, 62095, 51050, 53486, 76400, 52441, 72407, 51166, 54578, 53674, 52190, 51252, 53502, 52460, 57025, 50984, 50431, 53722, 53838, 50432, 53664, 51121, 51050, 58112, 50608, 51252, 50433, 52806, 53096, 50434, 51614, 51174, 50435, 51515, 51128, 50436, 51440, 59380, 51669, 53945, 52756, 51242, 53719, 50841, 51799, 51172, 52327, 50825, 51850, 62232, 51120, 52136, 50446, 52756, 65295, 51027, 51432, 52190, 51252, 50455, 52756, 51363, 71136, 50984, 57848, 50364, 50412, 50458, 53722, 59828, 50459, 52769, 57771, 52745, 52192, 50461, 51614, 51376, 54795, 53142, 51434, 51376, 50415, 55857, 53651, 51808, 50933, 52721, 51862, 56978, 52980, 62795, 51965, 51240, 51269, 58296, 51852, 57267, 52431, 55989, 52598, 51170, 60205, 51086, 73786, 51026, 51074, 54795, 51671, 56978, 52980, 62795, 51961, 51236, 51269, 58296, 51074, 51236, 51269, 57019, 53674, 51756, 60207, 62622, 53664, 64763, 53892, 51170, 60205, 51086, 76398, 51269, 50455, 53200, 66947, 51026, 51697, 50458, 54437, 55776, 50460, 52769, 53866, 51660, 51126, 51774, 54829, 50461, 51434, 51000, 50799, 53719, 51807, 50292, 51449, 51607, 50864, 51971, 51022 ]
[ 0, 250, 15855, 1619, 2214, 19, 10, 25306, 619, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 20535, 2810, 6, 2003, 38704, 31365, 25999, 6, 8, 21979, 9590, 6, 70, 447, 561, 7, 1045, 10, 32076, 8, 28339, 5466, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 12447, 1001, 20889, 6, 1839, 10, 20902, 8, 15352, 30054, 676, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 53458, 53751, 50323, 51045, 51220, 55968, 53901, 50951, 50823, 51220, 55589, 60085, 52385, 68005, 51552, 51114, 52362, 50327, 53960, 60812, 62678, 51220, 51460, 50450, 50968, 56214, 60135, 51273, 50921, 51762, 53458, 53177, 50323, 50823, 51220, 55589, 53901, 50951, 52035, 50327, 51805, 60085, 66720, 51273, 51009, 51114, 51354, 51220, 66363, 62813, 50951, 50823, 51220, 51460, 50852, 54208, 50968, 51021, 52385, 50458, 52105, 53458, 79237, 50811, 51699, 50940, 52065, 50858, 51251, 50803, 51357, 56736, 51384, 50940, 53170, 55068, 51579, 52651, 61151, 50887, 54439, 50811, 52065, 50894, 51251, 50894, 51384, 50858, 51579, 51779, 57639, 56341, 51273, 51761, 50989, 51354, 52371, 51014, 51600, 50975, 51935, 51259, 57993, 72299, 52065, 50882, 51251, 50894, 51182, 50823, 73915, 51485, 53798, 50916, 50882, 51266, 51010, 52298, 56106, 61151, 69866, 51273, 51014, 52219, 51259, 50840, 53458, 79237, 50803, 51699, 50940, 52065, 50882, 51251, 50803, 51384, 50858, 51579, 52750, 57259, 50887, 54439, 50803, 52065, 50858, 51251, 50894, 51384, 50890, 51579, 52279, 70726, 56341, 51273, 51029, 50989, 51354, 52371, 50940, 51600, 50993, 51938, 51259, 63674, 50861, 50823, 52065, 50858, 51251, 50894, 51182, 50823, 73915, 51485, 53798, 50916, 50858, 51301, 51290, 51266, 50811, 51888, 50915, 52298, 56106, 61151, 69866, 51273, 51033, 52219, 51259, 57747, 74611, 54389, 51573, 58161, 51883, 50940, 51299, 50803, 51251, 50894, 51093, 57676, 51384, 50940, 52306, 52149, 51579, 52651, 57259, 53548, 58161, 51299, 50811, 51251, 50894, 51384, 50890, 51579, 51779, 70726, 56341, 51273, 51761, 50989, 50975, 52371, 50940, 51600, 50993, 51935, 51259, 63674, 50861, 50823, 51299, 50962, 51251, 50894, 51182, 50823, 73915, 51485, 53798, 50916, 50894, 51266, 51010, 51431, 56606, 61151, 69866, 51273, 53703, 57259, 50809, 54389, 70362, 50811, 51883, 50940, 51299, 50962, 51251, 50894, 51384, 50858, 51579, 52651, 57259, 52329, 60373, 51299, 50811, 51251, 50894, 51384, 50890, 51579, 52279, 70726, 54957, 51273, 51735, 50989, 50975, 52371, 50940, 51600, 50993, 51938, 51259, 63674, 50861, 51014, 51299, 50894, 51251, 50894, 51182, 50823, 73915, 51485, 52865, 55510, 51273, 51454, 50916, 50930, 51266, 50811, 51431, 52279, 54046, 50890, 55779, 59496, 52310, 55408, 53458, 79237, 50803, 51699, 50858, 52065, 50800, 51251, 50930, 51357, 56300, 51107, 50887, 51579, 52750, 51421, 52524, 50861, 50894, 52065, 50830, 51251, 50882, 51107, 50859, 51579, 55225, 52675, 50840, 55703, 53894, 51273, 51029, 50989, 51354, 52371, 50808, 51600, 51653, 50801, 52304, 60812, 50861, 51014, 52065, 50800, 51251, 50858, 71548, 52851, 51010, 53689, 51805, 53938, 50899, 50882, 51266, 50962, 57929, 76132, 51559, 57185, 51273, 51508, 50839, 53458, 79237, 50803, 51699, 50800, 52065, 50800, 51251, 50890, 75352, 51579, 52750, 52304, 52524, 50861, 50894, 52065, 50800, 51251, 50882, 75352, 51579, 55225, 51559, 59890, 61767, 51273, 51761, 50989, 50975, 52371, 50910, 51600, 68938, 52716, 57993, 50861, 51014, 52065, 50800, 51251, 50882, 71548, 52851, 50811, 53689, 51805, 53068, 50899, 50930, 51301, 51055, 51266, 51033, 57929, 76132, 51559, 65780, 52851, 51253, 50458, 51273, 50859, 52105, 54389, 51573, 58161, 51357, 50833, 51883, 50800, 51299, 50890, 51251, 50858, 51107, 50882, 51683, 51313, 51579, 52750, 52675, 64580, 51093, 51469, 54439, 50962, 51299, 50930, 51251, 50858, 51107, 50930, 51579, 55225, 51559, 58322, 61767, 51273, 51761, 50989, 51354, 52371, 50859, 51600, 70260, 52716, 57993, 72299, 51299, 50930, 51251, 50882, 71548, 52851, 50811, 53689, 51805, 53938, 50899, 50882, 51266, 51010, 54595, 67854, 55476, 59672, 51273, 50821, 54389, 70362, 51014, 51883, 50910, 51299, 50882, 51251, 50882, 51107, 51014, 51579, 52651, 51421, 52995, 59066, 51992, 50873, 50437, 52678, 51918, 51992, 51008, 50449, 52527, 53533, 51971, 50967, 50461, 51760, 52071, 53458, 53751, 50323, 51045, 51220, 55968, 53901, 50951, 50823, 51220, 55589, 60085, 52385, 68005, 51552, 51114, 52362, 50327, 53960, 60812, 62678, 51220, 51460, 50450, 50968, 56214, 60135, 51273, 50921, 51762, 53458, 53177, 50323, 50823, 51220, 55589, 53901, 51992, 51095, 50951, 52035, 50327, 51805, 60085, 66720, 52235, 50849, 51273, 51009, 51114, 51354, 51220, 66363, 62885, 51992, 62604, 50951, 50823, 51220, 51460, 50852, 54208, 50968, 51021, 52385, 50454, 52527, 52349, 51971, 50924, 50458, 52105, 68093, 51692, 51216, 51226, 50951, 51045, 50999, 51014, 51062, 51805, 53803, 50951, 50950, 50999, 51045, 51062, 51045, 52385, 55703, 53894, 51273, 51761, 51114, 52362, 50325, 53194, 50328, 51138, 52558, 50446, 50951, 50823, 51062, 75044, 50968, 61751, 62705, 51273, 50830, 50989, 51045, 51114, 51014, 51931, 54389, 51603, 50861, 75163, 51805, 61521, 52678, 69706, 51273, 51735, 50899, 50975, 51114, 78053, 60085, 70658, 51992, 51177, 51493, 51932, 50916, 50993, 50951, 67859, 60735, 60520, 71950, 52235, 51111, 51705, 51454, 50989, 53819, 50325, 50803, 51146, 52853, 61688, 51762, 50799, 53399, 51060, 51098, 53751, 50323, 50803, 51220, 51052, 53383, 53016, 51060, 50951, 50823, 51220, 55589, 60673, 53399, 77121, 56270, 51273, 51300, 51114, 51483, 51220, 66888, 64684, 53016, 62150, 50951, 50950, 51220, 51379, 50449, 53399, 55149, 50968, 55121, 50862, 53458, 51552, 50951, 50823, 51220, 72644, 54156, 53016, 51060, 50951, 50823, 51220, 50950, 51762, 50433, 53399, 77121, 51868, 50940, 61767, 51389, 51072, 51114, 51388, 51220, 50923, 52558, 50446, 50951, 50950, 51220, 51175, 56890, 53016, 51111, 51273, 51932, 50968, 55043, 62616, 52235, 51991, 50791, 50857, 54389, 53751, 50323, 50894, 50999, 51033, 51062, 51014, 52385, 50422, 51088, 54818, 50951, 51033, 50999, 51014, 51062, 51805, 60085, 72387, 51301, 59894, 51273, 51029, 51114, 52370, 50325, 52362, 50328, 51021, 52385, 50439, 51491, 78587, 50951, 51014, 51062, 51603, 50447, 51088, 58710, 50968, 51354, 51301, 60257, 62616, 51273, 50882, 50989, 50894, 51114, 51030, 51491, 50940, 51471, 54389, 70362, 51379, 50951, 50976, 51088, 61751, 63630, 51357, 58936, 51093, 51362, 50425, 51992, 69745, 50951, 51603, 50791, 59062, 51868, 50859, 51471, 50437, 52678, 57626, 51389, 51072, 50899, 51060, 50902, 51175, 51114, 51160, 51357, 51073, 52039, 50914, 50852, 62885, 51992, 51058, 50449, 52527, 53533, 51971, 51238, 51273, 51735, 51165, 50896, 52334, 55859, 50855, 68093, 52069, 51098, 51054, 68074, 53499, 50808, 53808, 50938, 55910, 51420, 53901, 51113, 51160, 53499, 51095, 53808, 51116, 55910, 60596, 59062, 51301, 50940, 57929, 50942, 52385, 50435, 52137, 50840, 55910, 56057, 51273, 51552, 51088, 51286, 52385, 50439, 53689, 51110, 60985, 79295, 53808, 50897, 55910, 71149, 51113, 53153, 51301, 51192, 57929, 51110, 55291, 67300, 66660, 51088, 71208, 51273, 50882, 60985, 50866, 72446, 53689, 60091, 51113, 51175, 53458, 51090, 53499, 51215, 53808, 51111, 55910, 70096, 64355, 51107, 51685, 58438, 51675, 50422, 53828, 51896, 52298, 51591, 50426, 51992, 67300, 60085, 70658, 52235, 50805, 51273, 52512, 50852, 59137, 51992, 50952, 51931, 52320, 62603, 52527, 58464, 51971, 50805, 68093, 51518, 51216, 74752, 61359, 51357, 50880, 52430, 50887, 52039, 50840, 57065, 50836, 51544, 58322, 53129, 50836, 53808, 50840, 55297, 50836, 71325, 51113, 54459, 51273, 51761, 53129, 51124, 53808 ]
[ 0, 713, 765, 5175, 2214, 11, 230, 538, 1575, 10, 15352, 30054, 11739, 9, 21979, 8669, 6, 13305, 6, 8, 38668, 3038, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 8, 31391, 1672, 9590, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 6670, 10, 19448, 8, 5679, 26709, 5466, 6, 1969, 13, 3618, 6288, 4, 20, 33215, 16739, 9, 230, 119, 1176, 406, 6, 381, 406, 6, 230, 73, 717, 6, 274, 119, 1176, 406, 6, 8, 211, 119, 3639, 10, 2842, 9, 46336, 773, 7, 42, 32625, 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 ]	[ 56103, 52177, 58933, 51241, 50751, 50285, 65233, 64640, 51440, 50910, 51660, 50938, 55242, 50846, 57100, 62576, 63633, 58933, 51241, 50751, 50285, 57840, 51004, 50440, 51434, 50845, 55187, 57928, 77060, 51614, 50892, 57774, 57728, 51925, 54284, 51660, 50874, 51440, 50810, 57100, 50835, 55242, 60752, 51845, 73966, 58933, 50892, 51660, 51115, 51440, 51115, 50751, 50285, 50834, 57100, 50820, 55242, 57928, 50891, 51809, 56090, 51003, 50751, 50289, 60088, 55983, 51845, 51258, 50428, 51660, 51051, 51440, 50959, 57100, 50837, 55242, 61329, 59516, 56090, 51381, 50751, 50289, 58495, 51129, 50440, 51845, 65649, 51614, 51797, 51434, 50977, 57774, 50863, 55187, 57854, 51925, 55686, 51660, 50810, 51440, 50874, 57100, 50820, 55242, 67099, 51845, 73966, 51515, 51115, 56090, 51174, 51774, 51177, 56855, 50820, 50751, 50289, 50837, 58913, 60088, 50982, 51809, 51925, 58593, 57117, 51003, 50751, 50290, 54929, 51614, 50878, 51440, 50866, 57774, 50820, 55242, 57928, 65627, 51845, 58721, 57117, 51961, 50751, 50290, 56755, 51614, 50830, 51434, 51121, 57774, 50818, 55187, 57840, 51129, 50446, 51925, 55686, 51614, 50812, 51440, 50812, 57774, 50828, 55242, 61425, 51845, 73068, 51845, 68430, 54437, 51535, 51614, 53753, 51440, 53651, 77905, 50829, 57774, 50834, 55242, 50839, 51809, 51845, 65587, 51925, 65368, 51845, 60481, 59411, 56374, 50434, 54437, 51142, 77905, 75689, 66961, 50928, 50440, 54437, 51679, 58183, 77905, 57532, 55721, 50960, 54004, 50986, 51128, 50452, 51456, 71192, 64364, 50970, 63303, 54437, 51177, 51338, 50873, 66299, 59170, 77905, 63930, 60088, 59506, 64162, 51809, 51728, 51635, 53332, 62716, 51132, 51134, 50929, 50870, 51169, 50374, 55958, 61844, 50947, 51677, 50422, 57718, 50428, 51660, 50910, 51440, 50925, 57100, 50846, 55242, 56455, 55657, 63765, 65627, 51132, 54035, 52786, 63765, 50982, 50440, 51434, 50845, 51614, 51212, 55187, 50820, 57774, 54534, 53836, 67193, 56432, 51132, 51145, 50446, 51440, 50977, 51660, 50987, 55242, 50839, 57100, 53045, 74846, 69232, 55867, 54228, 50452, 51170, 66961, 54949, 67076, 51660, 51391, 51440, 51351, 51076, 50829, 57100, 50834, 55242, 52823, 68557, 56232, 51032, 51592, 51809, 51728, 51462, 53740, 77298, 51844, 51241, 50422, 50920, 74846, 65368, 51660, 50866, 51440, 50977, 57100, 50820, 55242, 56233, 55657, 79302, 52428, 50888, 63765, 55813, 51844, 51025, 50440, 51434, 50892, 51614, 51328, 55187, 50834, 57774, 55136, 53963, 74846, 64807, 51660, 51006, 51440, 50866, 51844, 51203, 51169, 50820, 57100, 50825, 55242, 53518, 58355, 67807, 50452, 51614, 50870, 69463, 57774, 56113, 53836, 67193, 72204, 51614, 51381, 51440, 51191, 51844, 50845, 51316, 50834, 50771, 50302, 52168, 57774, 50825, 55242, 52793, 67193, 56013, 51067, 55408, 51809, 51727, 51191, 52723, 50888, 74846, 58640, 50920, 50365, 51765, 64640, 51614, 50987, 51440, 50845, 57774, 50834, 55242, 54763, 53067, 63765, 63633, 51727, 57564, 52079, 67193, 50928, 50440, 51434, 50901, 51614, 50907, 51727, 51115, 55187, 50839, 57774, 56630, 53067, 67193, 60895, 51889, 57785, 51614, 50974, 51440, 50878, 57774, 50835, 55242, 62793, 78183, 50452, 52557, 51004, 72469, 58340, 53836, 67193, 61034, 51614, 52222, 51440, 52069, 51727, 51376, 57774, 50835, 55242, 52823, 74846, 56013, 51889, 50825, 51809, 51727, 51295, 51728, 50888, 73435, 70540, 50428, 51170, 71192, 54949, 65627, 51727, 50937, 51728, 50888, 68557, 58721, 51889, 59051, 66299, 58898, 50440, 51728, 51462, 53730, 66065, 51727, 75097, 51338, 51377, 51889, 58495, 53740, 58355, 51292, 50866, 50452, 51774, 51277, 51434, 50917, 58913, 50825, 55187, 55202, 53836, 50366, 51635, 67076, 51614, 51058, 51440, 51142, 51338, 50873, 51292, 50857, 59411, 53577, 57774, 50835, 55242, 58452, 55948, 51129, 50460, 51438, 51680, 51809, 51181, 51241, 51728, 50888, 50366, 51635, 58409, 70540, 50428, 51440, 50937, 51614, 50987, 55242, 50841, 57774, 56128, 55657, 63765, 63633, 51181, 51148, 52613, 50888, 67193, 50928, 50440, 51434, 50838, 51774, 51277, 55187, 50825, 58913, 54880, 53836, 74846, 60402, 51440, 50866, 51614, 51006, 55242, 50820, 57774, 53246, 60571, 51292, 50892, 50452, 51774, 51004, 58913, 58340, 55657, 68557, 61362, 51067, 65241, 51660, 51351, 51440, 51419, 51137, 51121, 57100, 50839, 55242, 51987, 68557, 56232, 51032, 51592, 51809, 52723, 51462, 54435, 77298, 51349, 51134, 50422, 51925, 53332, 75181, 51660, 50987, 51440, 50942, 57100, 50834, 55242, 56233, 55657, 64044, 51845, 51258, 50434, 51349, 50987, 52613, 50888, 67193, 76779, 51434, 50845, 51774, 51328, 51349, 51295, 55187, 50820, 58913, 55136, 53067, 74846, 59843, 66299, 53697, 50446, 51660, 50978, 51440, 50933, 57100, 50829, 55242, 53246, 58355, 51064, 50892, 50452, 51774, 50870, 58985, 58913, 56113, 55657, 68557, 72204, 52557, 52015, 51515, 51742, 51349, 51753, 51169, 50837, 72469, 50835, 56855, 53045, 67193, 56232, 50947, 50995, 51809, 52723, 50888, 74846, 57226, 51526, 51134, 50422, 51889, 54561, 58574, 51032, 50959, 50428, 51169, 60380, 55657, 68557, 66221, 50947, 51254, 50433, 50771, 50302, 60243, 50434, 51526, 50987, 52615, 50888, 67193, 55813, 50929, 51742, 50440, 51434, 50941, 51614, 50854, 55187, 50863, 57774, 53618, 68640, 58033, 53740, 66065, 51440, 50857, 51526, 51419, 55242, 57728, 51434, 50867, 55187, 52909, 63640, 52557, 50886, 51614, 51004, 72469, 50835, 57774, 51004, 50452, 51170, 53067, 68557, 63343, 51434, 52919, 51774, 51449, 51526, 50892, 55187, 50820, 58913, 52291, 50365, 51765, 59667, 50928, 51809, 51416, 51448, 51728, 50888, 67193, 61183, 51169, 56994, 74846, 54604, 50929, 51166, 50428, 51169, 60380, 50386, 51765, 58495, 54435, 64838, 50929, 51199, 50434, 52615, 50888, 68557, 50928, 52594, 51297, 50440, 52993, 50995, 66299, 55789, 50798, 52637, 50366, 51635, 56755, 50986, 56751, 51126, 50446, 51889, 53246, 58355, 50960, 53832, 55256, 50986, 79859, 51416, 50974, 50970, 68757, 68557, 50928, 53061, 54199, 50986, 67076, 51684, 50974, 51845, 53740, 60078, 50929, 53887, 50937, 50460, 59411, 52407, 61080, 71768, 50929, 52923, 52637, 67091, 58593, 51132, 51318, 51169, 71016, 66816, 61844, 50947, 51662, 50422, 70540, 50428, 51660, 50987, 51440, 50925, 57100, 50834, 55242, 56455, 66961, 53740, 64044, 51065, 53802, 78344, 52428, 50888, 68557, 55762, 51132, 50866, 50440, 51434, 50901, 51614, 50892, 55187, 50839, 57774, 54534, 55949, 59677, 53740, 66065, 51132, 51134, 50446, 51660, 50977, 51440, 50878, 57100, 50839, 55242, 55326, 60292, 53332, 51004, 50452, 50856, 55987, 55657, 68557, 50928, 53061, 50925, 50457, 66299, 53674, 50458, 51774, 50870, 51434, 50833, 51132, 50845, 51076, 50834, 58913, 50870, 55187, 57445, 53995, 67193, 56232, 51614, 51295, 51440, 51108, 51032, 52528, 57774, 50839, 55242, 50837, 51809, 51844, 51191, 51728, 51202, 58452, 53977, 73435, 50920, 50366, 51635, 70573, 51170, 55657, 68557, 64838, 51660, 50808, 51440, 51051, 57100, 50846, 55242, 57505, 54528, 50955, 58523, 55731, 59430, 54949, 58721, 51844, 54014, 50771, 50302, 52441, 50440, 51614, 50972, 51434, 51006, 57774, 50837, 55187, 54880, 53836, 50366, 51635, 61577, 51844, 51241, 50856, 56453, 51440, 50827, 51660, 50977, 51067, 50857, 55242, 50825, 57100, 54018, 51004, 50452, 51169, 57112, 56113, 55657, 68557, 61362, 50929, 57616, 78442, 51774, 51542, 51515, 51310, 51844 ]
[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 6711, 16, 10, 11739, 9, 25306, 6, 20425, 6, 1372, 6, 8, 2933, 4785, 4, 20, 1049, 33215, 16739, 10726, 9, 272, 406, 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, 0, 0, 0, 0, 0 ]	[ 57448, 50900, 64816, 52362, 50328, 50923, 55760, 50923, 51964, 50923, 50433, 50916, 55143, 56472, 56472, 50805, 50440, 75975, 75640, 80033, 50902, 51095, 50448, 75975, 75640, 80033, 50902, 51095, 52591, 50900, 51388, 50876, 51388, 51062, 51388, 55760, 51388, 51964, 51388, 50443, 75975, 75640, 80033, 50902, 51095, 50451, 72362, 50906, 51095, 80033, 50968, 51095, 50459, 72362, 50906, 51095, 80033, 50968, 51095, 50796, 50435, 50999, 51362, 51339, 51362, 50451, 51081, 51175, 51430, 51175, 53366, 51294, 51869, 51294, 50459, 50900, 51215, 50861, 51215, 50906, 51215, 51081, 51175, 51430, 51175, 53069, 51081, 50940, 51430, 50940, 55760, 51294, 51964, 51294, 50423, 72991, 51081, 54149, 78250, 51430, 72528, 72564, 65708, 72991, 51081, 54154, 50931, 51173, 50999, 51173, 52785, 51013, 51876, 51013, 50439, 50900, 57874, 58696, 65614, 51936, 50325, 78668, 64944, 78568, 52537, 51013, 51708, 51013, 50448, 62873, 64944, 50452, 64944, 50999, 72528, 51158, 50871, 51158, 50877, 51158, 50455, 62873, 64944, 50458, 50968, 51936, 50326, 50893, 53366, 51013, 51869, 51013, 51809, 50900, 79306, 51158, 50906, 51158, 50876, 51173, 50968, 51173, 50423, 50968, 51936, 50326, 50893, 55760, 51013, 51964, 51013, 50429, 50900, 72564, 57253, 75672, 50893, 50436, 50931, 51286, 50999, 51286, 52785, 51013, 51876, 51013, 77025, 57874, 58696, 65614, 52362, 50328, 50923, 50448, 50931, 51388, 51062, 51388, 52537, 51294, 51708, 51294, 50455, 50900, 51215, 50871, 51215, 50877, 51215, 50999, 51379, 51339, 51379, 51601, 51081, 51175, 51430, 51175, 53366, 51294, 51869, 51294, 78523, 72564, 51442, 50326, 51936, 50332, 66094, 78250, 51430, 50858, 55760, 51013, 51964, 64919, 72991, 51081, 66554, 78250, 51430, 72528, 79306, 51158, 50906, 51158, 50439, 72991, 51081, 75018, 50931, 51936, 50325, 50893, 52785, 51013, 51876, 51013, 50448, 50900, 51158, 50871, 51158, 50877, 51158, 50931, 51173, 50999, 51173, 50455, 64944, 78568, 52537, 51013, 51708, 51013, 50458, 62873, 64944, 50461, 64944, 50999, 72528, 57874, 58696, 50879, 51809, 62873, 50931, 54718, 51081, 51173, 51146, 51173, 53366, 51013, 51869, 51013, 53523, 72564, 57253, 75672, 55214, 51081, 51173, 51146, 51173, 55760, 51013, 51964, 51013, 50439, 50900, 72564, 57253, 75672, 78668, 50900, 57874, 58696, 57253, 52370, 50321, 50911, 52785, 50879, 51876, 50879, 50452, 50876, 51354, 50999, 51354, 55760, 51215, 51964, 51215, 50460, 51027, 65815, 63882, 70148, 51454, 50931, 51454, 52785, 51073, 51876, 51073, 56020, 50951, 51379, 50430, 50931, 51173, 51430, 51173, 53366, 51158, 51869, 51158, 50437, 50931, 51936, 50330, 50893, 54733, 50879, 52477, 50879, 50443, 51027, 50859, 50931, 51173, 51062, 51173, 52537, 51158, 51708, 65458, 50931, 51936, 50327, 50893, 52649, 50879, 52040, 55416, 50968, 51936, 50325, 50893, 51964, 50879, 51280, 50879, 55331, 51173, 50951, 51173, 52176, 51158, 51198, 51158, 50421, 50876, 75208, 50893, 52746, 50879, 51561, 50879, 76946, 51173, 50951, 51173, 52533, 51158, 51232, 51158, 50434, 50931, 51936, 50324, 50893, 51869, 50879, 51198, 50879, 50440, 50861, 60446, 65614, 51936, 50325, 50893, 67655, 51158, 50902, 51158, 50931, 51173, 51220, 51173, 50459, 50968, 51173, 50999, 51173, 51964, 51158, 51280, 51158, 52478, 50900, 56135, 57253, 67734, 51936, 50324, 50893, 50424, 50900, 56135, 57253, 67734, 75208, 50893, 50437, 50931, 51936, 50332, 50893, 53366, 50879, 51869, 50879, 50443, 50931, 51173, 51146, 51173, 54733, 51158, 52477, 65458, 50931, 51936, 50328, 50893, 52537, 50879, 51708, 55416, 50931, 51936, 50327, 50893, 52649, 50879, 52040, 50879, 57289, 51173, 50999, 51173, 51964, 51158, 51280, 51158, 50421, 50902, 75208, 50893, 52176, 50879, 51198, 50879, 76946, 51173, 50951, 51173, 52746, 51158, 51561, 51158, 65281, 75208, 50893, 52533, 50879, 51232, 50879, 50440, 50931, 51936, 50324, 50893, 51876, 51013, 51144, 51013, 64118, 51158, 50871, 51158, 50931, 51173, 50999, 51173, 50453, 50931, 52370, 50326, 50911, 51869, 51013, 51099, 51013, 50459, 50899, 79306, 51158, 50931, 51286, 51220, 51286, 52478, 50968, 52362, 50328, 50923, 51964, 50879, 51280, 50879, 50424, 50900, 50879, 51964, 50879, 78313, 51158, 51964, 51158, 50437, 50871, 58696, 57253, 52362, 50328, 50923, 50443, 50916, 79306, 51158, 50876, 51388, 50876, 51388, 55895, 50879, 51964, 55416, 50900, 50879, 51964, 50879, 54578, 51158, 50965, 51158, 50876, 51388, 51062, 51388, 50421, 50916, 56135, 57253, 64816, 50923, 77095, 51158, 51964, 51158, 69374, 50879, 51964, 50879, 50440, 50876, 52362, 50328, 50923, 50446, 50916, 51111, 72682, 50876, 51286, 50876, 51286, 50461, 75975, 75640, 50876, 51175, 50902, 51175, 79254, 72362, 50906, 51095, 50876, 51215, 50968, 51215, 55753, 50999, 51362, 51339, 51362, 50437, 51081, 51175, 51430, 51175, 53366, 51294, 51869, 51294, 50445, 50900, 51215, 50861, 51215, 50906, 51215, 51081, 51175, 51430, 51175, 50453, 51081, 50940, 51430, 50940, 55760, 51294, 51964, 51294, 50457, 72991, 51081, 66330, 78250, 51430, 72528, 72564, 50879, 51601, 72991, 51081, 74871, 50931, 51173, 50999, 51173, 52785, 51013, 51876, 51013, 50425, 50900, 57874, 58696, 65614, 51936, 50325, 50893, 50431, 64944, 78568, 52537, 51013, 51708, 51013, 50434, 62873, 50931, 54362, 64944, 50999, 72528, 57874, 58696, 73824, 62873, 50931, 54651, 50968, 51936, 50326, 50893, 53366, 51013, 51869, 51013, 55895, 79306, 51158, 50906, 51158, 50876, 51173, 50968, 51173, 50457, 50968, 51936, 50326, 50893, 55760, 51013, 51964, 51013, 51601, 50900, 79306, 51158, 50906, 51158, 50876, 51173, 50968, 51173, 50422, 50931, 52370, 50325, 50911, 52785, 51013, 51876, 51013, 50428, 50900, 57874, 58696, 65614, 52362, 50328, 50923, 50434, 50931, 51388, 51062, 51388, 52537, 51294, 51708, 51294, 50441, 50900, 51215, 50871, 51215, 50877, 51215, 50999, 51379, 51339, 51379, 50449, 51081, 51175, 51430, 51175, 53366, 51294, 51869, 51294, 50457, 50900, 72564, 51442, 50326, 51936, 50332, 50893, 51601, 78250, 51430, 50858, 55760, 51013, 51964, 51013, 50418, 72991, 51081, 66553, 78250, 51430, 72528, 72564, 50879, 50425, 72991, 78250, 50428, 50931, 51936, 50325, 50893, 52785, 51013, 51876, 51013, 69374, 51158, 50871, 51158, 50877, 51158, 50931, 51173, 50999, 51173, 50441, 64944, 78568, 52537, 51013, 51708, 62682, 62873, 50931, 56325, 64944, 50999, 72528, 51158, 50871, 51158, 50877, 65458, 62873, 64944, 50454, 51081, 51936, 50330, 50893, 53366, 51013, 51869, 51013, 50460, 50900, 72564, 57253, 75672, 50893, 52478, 51081, 51173, 51146, 51173, 55760, 51013, 51964, 51013, 50425, 50900, 72564, 57253, 75672, 65782, 50999, 77604, 52545, 50333, 50948, 50452, 50951, 51710, 50326, 52545, 50332, 50948, 50458, 50931, 51710, 50325, 52545, 50330, 50948, 51601, 50968, 77152, 52545, 50328, 62229, 51028, 77152, 52545, 50326, 58292, 50902, 76028, 52545, 50325, 50948, 50431, 51040, 59820, 51710, 50320, 52545, 50323, 50948, 53646, 50924, 50436, 50899, 64608, 64469, 52545, 50321, 50948, 52176, 50924, 50442, 51086, 60757, 62124, 52545, 50318, 50948, 52649, 50924, 78631, 73022, 57704, 71949, 50948, 51964, 50924, 50452, 50906, 52545, 50318, 50948, 50458, 50900, 73022, 57704, 71949, 50948, 51964, 50924, 51601, 50906, 52545, 50318, 50948, 53502, 60757, 64608, 71949, 50948, 52785, 50924, 51876, 50924, 53645, 64608, 52545, 50321, 50948, 50431 ]
[ 0, 250, 182, 1769, 12, 20764, 8, 20425, 15855, 5175, 2125, 6, 4246, 10, 13305, 816, 34879, 11, 5, 762, 9, 274, 10431, 538, 4, 590, 10, 86, 6543, 9, 132, 73, 306, 6, 42, 765, 2214, 29769, 198, 5, 40286, 230, 10431, 8, 274, 10431, 6, 2351, 10, 11739, 9, 2933, 8, 1372, 6711, 29, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51057, 50638, 51057, 51787, 50908, 51787, 50908, 51040, 51162, 51040, 51162, 51847, 51162, 54513, 65926, 51114, 50863, 51114, 50863, 52070, 53405, 51114, 75199, 50867, 52070, 60999, 51114, 75162, 50813, 52070, 60567, 51787, 50820, 51787, 50820, 54513, 52639, 72535, 72535, 50968, 51025, 50968, 51025, 50989, 51109, 50989, 51109, 51489, 51025, 51494, 51109, 51308, 51025, 50428, 51114, 75199, 50867, 52070, 62627, 51114, 50825, 51114, 50825, 52070, 56446, 51114, 75162, 50813, 52070, 58572, 51378, 50812, 51378, 50812, 53483, 50812, 51057, 51787, 51604, 50334, 50864, 54513, 59834, 51114, 75162, 50813, 52070, 63315, 63009, 63009, 51275, 54351, 51114, 50825, 51114, 76875, 68897, 50822, 66768, 66768, 51494, 50822, 51308, 50822, 52070, 55983, 51114, 51581, 50322, 50836, 52070, 53425, 51787, 50825, 51787, 65534, 68877, 50836, 54513, 50825, 51232, 56865, 51114, 75199, 50867, 52070, 53860, 50989, 63270, 61752, 61339, 71120, 68840, 79113, 75199, 50867, 51308, 50862, 51777, 50855, 52070, 50867, 51494, 59992, 51114, 75162, 50813, 52070, 58572, 51787, 50825, 51787, 50825, 54513, 50825, 51057, 51086, 51800, 50303, 50914, 52040, 50914, 50417, 51114, 75199, 50867, 52070, 55105, 51114, 75967, 50837, 52070, 59136, 51114, 75162, 50813, 52070, 52524, 51787, 50825, 51787, 76875, 51203, 50989, 51203, 50973, 51412, 50973, 51412, 50902, 51221, 50902, 51221, 51494, 51203, 51429, 51412, 51275, 51221, 54513, 54974, 51114, 75199, 50867, 52070, 53860, 51114, 50829, 51114, 50829, 52070, 54288, 51114, 75162, 50813, 52070, 50813, 51057, 51787, 50825, 51787, 50825, 51378, 50810, 51378, 50810, 54513, 50825, 53483, 56624, 51114, 75199, 50867, 52070, 55105, 51114, 50863, 51114, 50863, 50899, 62963, 63270, 65037, 68218, 66030, 50813, 51494, 50857, 51777, 50813, 51198, 50867, 52070, 53991, 51114, 75162, 50813, 52070, 52524, 51787, 50870, 51787, 50870, 51086, 50813, 51086, 50813, 52040, 50813, 54513, 57265, 51114, 75162, 50813, 52070, 52810, 50899, 63279, 50825, 51114, 50825, 51114, 76875, 65037, 62448, 64005, 50867, 51494, 50857, 51429, 50867, 51198, 50825, 52070, 53439, 51114, 75162, 50813, 52070, 50813, 51057, 51787, 50825, 51787, 78751, 50897, 51040, 50897, 54513, 50825, 51847, 50897, 50416, 51114, 75162, 50813, 52070, 53299, 51114, 50825, 51114, 50825, 52070, 55983, 51114, 51581, 50322, 50836, 52070, 53425, 51787, 50825, 51787, 50825, 50968, 51400, 50968, 51400, 50989, 51253, 50989, 51253, 70338, 70338, 54513, 50825, 51308, 51109, 51489, 51400, 51494, 51253, 50428, 51114, 75199, 50867, 52070, 53860, 51114, 50825, 51114, 50825, 52070, 56446, 51114, 51581, 50322, 50836, 52070, 50836, 51057, 51787, 50825, 51787, 50825, 51378, 50813, 51378, 50813, 53483, 50813, 54513, 65533, 51114, 75199, 50867, 52070, 68162, 50989, 65037, 60334, 61752, 61666, 59086, 50857, 51494, 50857, 51308, 50867, 51275, 54657, 51114, 50829, 51114, 50829, 52070, 56856, 51114, 75162, 50813, 52070, 60567, 50916, 68677, 50813, 51232, 52524, 51787, 50870, 51787, 50870, 54513, 70573, 51114, 75162, 50813, 52070, 59833, 50989, 71414, 66030, 65301, 50867, 51777, 50867, 51494, 52810, 51114, 50829, 51114, 69074, 62823, 50904, 51308, 50904, 52070, 56516, 51114, 51581, 50322, 50836, 52070, 59693, 51086, 51581, 50303, 50836, 52040, 50836, 51057, 51787, 50825, 51787, 50825, 54513, 56127, 51114, 50820, 51114, 50820, 52070, 52761, 51114, 50829, 51114, 50829, 52070, 56856, 51114, 51581, 50322, 50836, 52070, 61057, 50989, 51337, 50989, 51337, 50973, 51337, 50973, 51337, 50902, 51233, 50902, 51233, 51275, 51233, 51429, 51337, 51494, 51337, 50426, 51787, 50825, 51787, 50825, 54513, 64640, 51114, 75162, 50813, 52070, 52810, 51114, 50825, 51114, 50825, 52070, 56446, 51114, 51581, 50322, 50836, 52070, 50836, 51057, 51787, 50825, 51787, 50825, 51378, 50813, 51378, 50813, 53483, 50813, 54513, 56127, 51114, 75162, 50813, 52070, 53299, 51114, 50825, 51114, 63279, 62963, 63270, 71414, 66030, 71120, 50862, 52070, 50825, 51494, 50813, 51198, 50867, 51777, 60171, 51114, 51581, 50322, 50836, 52070, 53425, 51787, 50870, 51787, 50870, 51086, 51609, 50303, 50867, 52040, 50867, 54513, 70573, 51114, 51581, 50322, 50836, 52070, 53695, 50899, 74156, 75967, 50863, 51114, 50863, 50989, 74463, 66499, 66272, 50813, 51494, 50862, 51429, 50813, 52070, 50863, 51198, 58039, 51114, 75162, 50813, 52070, 50813, 51057, 51787, 51604, 50334, 78277, 50897, 51040, 50897, 51847, 50897, 54513, 59834, 51114, 75162, 50813, 52070, 53299, 51787, 50982, 51787, 50982, 54513, 58362, 51787, 51604, 50334, 50864, 54513, 53272, 56193, 51604, 50346, 67572, 50933, 50989, 50933, 67695, 67695, 50968, 50955, 50968, 50955, 51489, 50955, 51494, 50933, 51308, 50933, 70675, 63444, 51787, 52386, 50334, 50971, 54513, 55487, 51787, 50870, 51787, 50870, 54513, 54950, 51114, 52236, 50322, 50880, 52070, 50880, 51057, 51378, 51581, 50298, 51581, 50334, 51604, 50334, 50864, 54513, 50864, 53483, 58160, 51114, 51581, 50322, 50836, 52070, 54402, 51114, 50820, 51114, 50820, 52070, 53744, 51114, 51581, 50322, 50836, 52070, 53425, 51787, 50825, 51787, 76875, 63270, 61752, 50822, 66768, 66642, 66642, 71008, 51494, 50867, 51308, 50822, 54513, 54974, 51114, 75162, 50813, 52070, 52810, 51114, 50825, 51114, 50825, 52070, 53439, 51114, 51581, 50322, 50836, 52070, 50836, 51057, 51787, 50820, 51787, 50820, 51086, 50810, 51086, 50810, 52040, 50810, 54513, 55138, 51114, 51581, 50322, 50836, 52070, 54402, 51787, 51004, 51787, 51004, 54513, 58574, 51787, 51604, 50334, 50864, 54513, 53272, 50989, 63270, 64005, 62448, 61162, 61162, 51537, 50346, 51604, 50346, 50864, 70675, 50864, 51429, 50857, 51639, 50857, 51494, 58594, 51787, 50825, 51787, 50825, 54513, 53031, 51787, 50870, 51787, 50870, 54513, 54950, 51114, 50828, 51114, 50828, 52070, 50828, 51057, 51787, 51604, 50334, 51604, 50298, 50821, 51378, 50821, 53483, 50821, 54513, 59834, 51114, 75162, 50813, 52070, 53299, 51114, 75967, 50837, 52070, 53899, 51114, 75162, 50813, 52070, 60567, 50973, 66272, 66967, 67117, 50867, 51429, 50813, 51639, 53803, 51787, 50825, 51787, 76875, 67572, 50864, 51494, 50864, 54513, 54974, 51114, 75162, 50813, 52070, 52810, 51114, 50825, 51114, 50825, 52070, 53439, 51114, 75162, 50813, 52070, 50813, 51057, 51040, 50813, 51040, 50813, 51787, 52386, 50334, 50971, 51847, 50813, 54513, 66981, 51114, 51581, 50322, 50836, 52070, 54402, 51787, 50870, 51787, 50870, 50989, 65037, 60334, 60334, 61665, 66408, 50864, 51494, 50857, 51308, 50857, 51489, 50864, 54513, 54604, 51787, 51604, 50334, 50864, 54513, 60417, 51378, 51609, 50298, 50867, 53483, 53803, 56193, 51604, 50346, 50864, 70675, 63444, 51787, 50825, 51787, 50825, 54513, 59277, 50968, 67886, 51764, 50334, 51604, 50334, 50864, 54513, 50864, 51489, 54860, 50989, 76875, 66548, 62378, 50864, 51494, 50825, 51308, 59816, 51114, 50820, 51114, 50820, 52070, 56305, 51040, 50813, 51040, 50813, 51847, 50813, 51057, 51787, 50813, 51787, 50813, 54513, 70624, 51114, 75162, 50813, 52070, 53299, 50989, 50863, 50989, 50863, 51114, 75967, 68520, 62823, 65567, 73210, 50941, 51494, 50863, 51308, 50904, 51489, 50941, 52070, 53899, 51114, 75162, 50813, 52070, 60567, 51378, 50810, 51378, 50810, 53483, 52654, 51787, 51604, 50334, 50864, 54513, 56789, 51114, 75162, 50813, 52070, 52810, 51114, 75967, 78107 ]
[ 0, 250, 15352, 30054, 3495, 2214, 4246, 13305, 6, 1515, 21305, 6, 21979, 8, 81, 9756, 29589, 6, 8, 21072, 6, 2351, 10, 1372, 8, 19448, 5466, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 230, 8, 272, 406, 3639, 10, 2842, 9, 25342, 7, 42, 5679, 26709, 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 ]	[ 57333, 50450, 51553, 58615, 51224, 52163, 51289, 50976, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 52338, 51413, 51996, 51413, 57849, 50812, 72162, 51497, 57513, 74204, 50817, 51164, 51670, 51331, 50898, 51833, 50373, 52054, 58297, 56065, 58392, 62925, 59482, 50811, 51164, 51156, 53004, 53151, 50812, 51164, 58715, 62925, 59482, 51156, 52801, 51132, 59237, 50803, 58336, 56245, 56065, 50812, 51164, 58715, 62925, 59080, 51670, 51052, 52580, 51836, 50914, 50885, 74204, 50811, 51164, 55311, 51812, 55886, 60066, 50773, 50345, 51072, 51532, 50827, 51974, 52010, 51556, 52788, 50773, 50297, 57044, 67612, 51572, 53086, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 52338, 50812, 53064, 50812, 53151, 50812, 61603, 51404, 56471, 56781, 56225, 50860, 51332, 54482, 57555, 55267, 55373, 53883, 51420, 52989, 56065, 51420, 53532, 51727, 50993, 50997, 61572, 56798, 50802, 51234, 50993, 54277, 50812, 52665, 50812, 53883, 50812, 51583, 50802, 51188, 50823, 52021, 50993, 51037, 63690, 71305, 53236, 51812, 50802, 51287, 52054, 61828, 53151, 51420, 63295, 50827, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 52338, 51103, 51996, 51103, 57849, 50812, 51347, 51059, 51497, 51059, 50885, 62925, 59482, 51670, 51331, 58197, 51164, 55265, 56065, 58392, 58217, 59482, 50817, 51164, 50898, 53004, 53151, 58392, 62925, 59482, 50817, 51164, 51156, 52801, 51132, 59237, 50803, 58336, 56245, 56065, 58392, 58217, 59482, 50811, 51164, 51670, 51052, 52580, 51836, 50914, 60030, 57386, 57263, 51164, 57044, 51812, 55886, 64261, 64755, 50773, 50345, 50824, 51974, 67612, 51556, 62551, 50773, 50297, 51029, 51450, 52010, 50441, 53064, 52808, 53086, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 52338, 50812, 53151, 50812, 61603, 70450, 51332, 50975, 50885, 66306, 67506, 52466, 51779, 51331, 55267, 50802, 51618, 52989, 53883, 63490, 53532, 51727, 50993, 50997, 61572, 56798, 50802, 51234, 50993, 54277, 50812, 52665, 50812, 51583, 50802, 51188, 50823, 52021, 50975, 51037, 63469, 50803, 50872, 51520, 65272, 50373, 52054, 50993, 51453, 63295, 50827, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 52338, 51103, 51996, 51103, 57849, 50812, 51347, 51029, 51497, 51029, 51164, 63358, 74204, 52220, 51331, 54024, 56065, 50812, 51164, 63358, 58217, 59482, 50898, 53004, 53151, 50812, 51164, 58715, 62925, 59482, 50898, 52801, 51132, 59237, 50803, 58336, 56245, 56065, 50812, 51164, 58715, 62925, 59482, 52220, 51052, 52580, 51836, 50914, 51164, 57513, 50803, 57386, 50850, 51520, 57555, 53300, 50773, 50345, 56168, 50827, 51974, 52010, 51556, 50827, 51450, 52010, 50439, 50773, 50297, 51029, 51572, 53086, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 52338, 50812, 53064, 50812, 53151, 50812, 51347, 50860, 51404, 50860, 51332, 50976, 50885, 62711, 56225, 53236, 57555, 55267, 55373, 53883, 51420, 52989, 56065, 51420, 62103, 52021, 51066, 50453, 50997, 61572, 56798, 50802, 51234, 50993, 54277, 50812, 52665, 50812, 53883, 50812, 51583, 50860, 51188, 50823, 51037, 79245, 51670, 58163, 50373, 52054, 61828, 51727, 50802, 53151, 51420, 63295, 50827, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 52338, 51103, 51996, 51103, 57849, 50812, 51347, 51029, 51497, 51029, 51164, 63358, 74204, 51670, 52010, 50417, 56065, 50812, 51164, 63358, 62925, 59080, 51156, 53004, 53151, 50812, 51164, 63358, 62925, 59482, 50898, 58026, 51164, 54381, 51132, 56798, 50803, 58336, 56245, 56065, 58392, 74204, 51670, 51052, 63074, 51164, 54107, 51836, 50914, 50885, 55868, 61182, 51599, 70818, 50429, 50773, 50345, 56168, 50827, 51974, 51779, 53497, 51420, 50803, 52594, 51420, 50827, 51450, 51779, 51420, 53609, 50773, 50297, 55115, 53086, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 52338, 50812, 53064, 50812, 53151, 50812, 51347, 50823, 51404, 50823, 51332, 50975, 50885, 66306, 67506, 52466, 51779, 53497, 51052, 55267, 50802, 51618, 52989, 53883, 69652, 51420, 62103, 52021, 71935, 51727, 50993, 50997, 61572, 56798, 50802, 51234, 50993, 54277, 50812, 52665, 50812, 51583, 50823, 65347, 51037, 59299, 50803, 50872, 51520, 58163, 50373, 52054, 50824, 51453, 63295, 50827, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 52338, 52149, 51996, 52149, 51836, 51191, 53151, 51191, 57849, 50812, 57849, 51189, 51347, 51059, 51497, 51059, 51164, 63358, 74204, 51670, 51331, 54024, 51164, 58715, 74204, 51156, 73616, 51164, 53213, 50885, 74204, 50898, 58026, 51164, 54381, 51132, 59237, 50803, 58336, 56245, 50885, 58217, 59482, 51670, 51052, 63074, 51164, 54107, 50885, 50976, 50872, 50976, 79491, 50773, 50345, 52299, 70818, 51532, 50827, 51974, 52010, 51556, 62551, 50773, 50297, 51029, 51450, 52010, 51572, 53086, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 54012, 50812, 53883, 50812, 58047, 50812, 51347, 50860, 51404, 50860, 51332, 50993, 50885, 66306, 67506, 51779, 51331, 55267, 55373, 56065, 51420, 52989, 58047, 52972, 52010, 50453, 51727, 50993, 50997, 61572, 56798, 50802, 51234, 50993, 53151, 50812, 56065, 50849, 51583, 50823, 65347, 52021, 50993, 51037, 59299, 50803, 50872, 58163, 50373, 52054, 61828, 58047, 51420, 63295, 50827, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 51836, 51189, 53151, 51189, 53151, 51189, 51347, 51059, 51497, 51059, 51164, 63358, 74204, 51670, 52010, 50416, 51164, 55265, 50885, 74204, 51156, 73616, 51164, 52302, 50885, 74204, 51156, 58026, 51164, 53578, 51132, 59237, 50803, 58336, 56245, 50885, 74204, 51670, 51052, 63074, 51164, 54107, 50885, 77514, 51599, 70818, 50428, 50773, 50345, 51059, 51532, 50827, 51974, 52010, 51556, 50827, 51450, 52010, 50440, 50773, 50297, 51029, 51572, 53086, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 54012, 50812, 53151, 50812, 53883, 50812, 51347, 50860, 51404, 50860, 51332, 50993, 50885, 62711, 65837, 52466, 58163, 55267, 50802, 51618, 52989, 53883, 51420, 53532, 51727, 71863, 61572, 56798, 50802, 51234, 50993, 53151, 50812, 56065, 50812, 51583, 50860, 51188, 50823, 52021, 50993, 51037, 63690, 74865, 52466, 58163, 50373, 52054, 61828, 56065, 51420, 63295, 50827, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 51836, 51191, 53151, 51191, 57849, 51189, 51347, 51300, 51497, 51300, 51164, 63358, 74204, 52220, 52010, 50416, 51164, 55804, 50885, 74204, 50898, 73616, 51164, 53213, 50885, 62925, 59482, 51156, 58026, 51164, 54381, 51132, 59237, 50803, 58336, 56245, 50885, 74204, 51670, 51052, 63074, 51164, 51072, 59812, 74865, 63106, 52466, 70818, 50428, 50773, 50345, 51029, 50429, 52541, 51420, 50827, 51974, 52010, 51556, 50827, 51450, 52010, 50440, 50773, 50297, 51029, 51572, 75396, 51332, 63523, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 54012, 50812, 53883, 50812, 58047, 50812, 51347, 50860, 51404, 66212, 62711, 65837, 53236, 58163, 55267, 55373, 56065, 51420, 52989, 58047, 51420, 53532, 51727, 50993, 50997, 61572, 56798, 50802, 51234, 50993, 53151, 50812, 56065, 50812, 51583, 50823, 65347, 51037, 63469, 50803, 57386, 52021, 54482, 58163, 50373, 52054, 61828, 53883, 51420, 63295, 61243, 51164, 50811, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 51836, 51189, 53151, 51189, 53151, 51189, 51347, 51009, 51497, 51009, 50885, 74204, 52220, 52010, 50416, 51164, 55804, 50885, 62925, 59482, 51156, 53004 ]
[ 0, 713, 5175, 2214, 22750, 1626, 11098, 149, 63, 20425, 34879, 6, 19, 41, 223, 28311, 9, 15073, 1271, 5581, 7, 63, 2048, 4, 10326, 3459, 8669, 8, 38668, 483, 185, 1312, 1289, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 6, 3459, 9590, 6, 8, 5, 2216, 15679, 7805, 9, 5951, 14744, 4, 8504, 11, 5, 762, 9, 274, 538, 8, 6780, 10, 7212, 20889, 6, 5, 2125, 30853, 11, 10, 204, 73, 306, 86, 6543, 6, 10346, 30, 10, 33215, 16739, 4246, 272, 406, 6, 211, 119, 6, 274, 119, 1176, 406, 6, 8, 211, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50791, 50980, 51544, 50980, 51570, 50980, 52320, 50980, 51755, 50806, 51341, 80128, 50806, 51193, 52774, 68180, 51185, 50821, 51530, 54007, 50801, 50806, 51341, 51160, 51020, 51160, 51193, 51160, 53782, 50806, 51193, 50806, 51185, 50806, 51530, 52322, 68180, 51185, 50821, 51530, 56050, 51341, 50821, 67173, 51193, 53247, 51193, 50806, 51185, 50806, 51530, 52610, 51341, 80128, 50806, 51193, 52931, 51193, 50806, 51185, 50806, 51530, 50806, 51755, 50806, 51495, 50806, 51061, 50806, 51281, 52774, 68180, 51185, 50821, 51530, 54007, 50801, 50806, 51495, 51160, 51061, 51160, 51281, 69055, 51193, 50806, 51185, 50806, 51530, 52322, 68180, 51185, 50821, 51530, 56050, 51118, 50821, 51089, 80023, 53247, 51193, 50806, 51185, 50806, 51530, 52610, 51118, 50806, 51089, 80128, 52931, 51193, 50806, 51185, 50806, 51530, 50806, 51755, 80128, 50806, 51208, 50806, 51185, 52774, 68180, 51185, 50821, 51530, 54007, 50801, 80128, 51160, 51208, 51160, 51185, 69055, 51193, 50806, 51185, 50806, 51530, 52322, 68180, 51185, 50821, 51530, 56050, 51268, 50821, 68180, 51385, 53247, 51193, 50806, 51185, 50806, 51530, 52610, 51268, 50806, 51193, 50806, 51385, 52931, 51193, 50806, 51185, 50806, 51530, 50806, 51755, 50806, 51061, 50806, 51023, 50806, 51092, 52774, 68180, 51185, 50821, 51530, 54007, 50801, 50806, 61012, 51023, 50821, 51092, 52422, 51089, 80128, 50806, 51208, 52309, 68180, 51185, 50821, 51530, 53660, 61012, 51023, 50821, 51092, 52877, 51118, 50806, 51089, 80128, 52692, 68180, 51185, 50821, 51530, 54787, 51118, 50806, 51089, 80128, 59908, 68180, 51185, 50821, 51530, 52935, 51118, 50821, 51089, 80023, 54863, 68180, 51185, 50821, 51530, 50821, 51755, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52657, 50806, 52117, 52774, 50801, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52117, 50806, 51768, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 52309, 50764, 50317, 51160, 68180, 51185, 50821, 51530, 50821, 52412, 53660, 50801, 70785, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52117, 57419, 50903, 50821, 50764, 50317, 50821, 51092, 50806, 51403, 50806, 51810, 50806, 52117, 52692, 50801, 50806, 50764, 50317, 54787, 50764, 50317, 50821, 69132, 51403, 50821, 51810, 50821, 52117, 50821, 51955, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 52931, 50801, 50821, 50764, 50317, 50806, 68180, 51185, 50821, 51530, 50821, 52412, 54863, 50903, 50821, 68180, 51185, 50821, 51530, 50821, 52412, 50821, 51755, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52657, 50806, 52117, 52774, 50801, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52117, 50806, 51768, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 52309, 50764, 50317, 51160, 68180, 51185, 50821, 51530, 50821, 52412, 53660, 50801, 70785, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52117, 57419, 50903, 50821, 50764, 50317, 50821, 51092, 50806, 51403, 50806, 51810, 50806, 52117, 52692, 50801, 50806, 50764, 50317, 54787, 50764, 50317, 50821, 69132, 51403, 50821, 51810, 50821, 52117, 50821, 51955, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 52931, 50801, 50821, 50764, 50317, 50806, 68180, 51185, 50821, 51530, 50821, 52412, 56277, 50903, 50821, 68180, 51185, 50821, 51530, 50821, 51755, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 50806, 52479, 52774, 50801, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 50806, 51768, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52408, 52309, 50764, 50317, 51160, 69132, 51403, 50821, 51810, 50821, 52276, 53660, 50801, 70785, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 57419, 50903, 50821, 50764, 50317, 50821, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 52692, 50801, 50806, 50764, 50317, 54787, 50764, 50317, 50821, 68180, 51185, 50821, 51530, 50821, 52479, 50821, 51955, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52408, 52931, 50801, 50821, 50764, 50317, 50806, 69132, 51403, 50821, 51810, 50821, 52276, 56277, 50903, 50821, 69132, 51403, 50821, 51810, 50821, 51755, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 50806, 52479, 52774, 50801, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 50806, 51768, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 50806, 52408, 52309, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52276, 53660, 50903, 50806, 52479, 74532, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 52692, 68180, 51185, 50821, 51530, 54787, 51092, 50806, 51403, 50806, 51810, 59908, 51092, 50806, 51403, 50806, 51810, 56277, 69132, 51403, 50821, 51810, 50821, 50799, 51092, 50806, 51403, 50806, 51810, 50806, 52657, 52774, 51092, 50806, 51403, 50806, 51810, 52247, 51193, 50806, 51185, 50806, 51530, 52309, 68180, 51185, 50821, 51530, 53660, 51092, 50806, 51403, 50806, 51810, 57419, 51092, 50806, 51403, 50806, 51810, 55967, 69132, 51403, 50821, 51810, 50821, 51955, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 52931, 50801, 50821, 50764, 50317, 50806, 68180, 51185, 50821, 51530, 54863, 50903, 50821, 68180, 51185, 50821, 51530, 50821, 51755, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52657, 52774, 51092, 50806, 51403, 50806, 51810, 52247, 51193, 50806, 51185, 50806, 51530, 52309, 68180, 51185, 50821, 51530, 53660, 51092, 50806, 51403, 50806, 51810, 57419, 51092, 50806, 51403, 50806, 51810, 55967, 69132, 51403, 50821, 51810, 50821, 51955, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 52931, 50801, 50821, 50764, 50317, 50806, 68180, 51185, 50821, 51530, 54863, 50903, 50821, 68180, 51185, 50821, 51530, 50821, 51755, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 52774, 51193, 50806, 51185, 50806, 51530, 52247, 51092, 50806, 51403, 50806, 51810, 52309, 69132, 51403, 50821, 51810, 53660, 51193, 50806, 51185, 50806, 51530, 57419, 51193, 50806, 51185, 50806, 51530, 55967, 68180, 51185, 50821, 51530, 50821, 51955, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 52931, 50801, 50821, 50764, 50317, 50806, 69132, 51403, 50821, 51810, 54863, 50903, 50821, 69132, 51403, 50821, 51810, 50821, 51755, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 52774, 51193, 50806, 51185, 50806, 51530, 52247, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 52309, 51193, 50806, 51185, 50806, 51530, 52322, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 52692, 68180, 51185, 50821, 51530, 54787, 51092, 50806, 51403, 50806, 51810, 59908, 51092, 50806, 51403, 50806, 51810, 56277, 69132, 51403, 50821, 51810, 50821, 51755, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52657, 52774, 50801, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 51768, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 52309, 50764, 50317, 51160, 68180, 51185, 50821, 51530, 53660, 50801, 70785, 50806, 51092, 50806, 51403, 50806, 51810, 57419, 50903, 50821, 50764, 50317, 50821, 51092, 50806, 51403, 50806, 51810, 52692 ]
[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 15352, 30054, 6755, 12547, 6, 2382, 3459, 8669, 6, 8, 38668, 9590, 4, 20, 2125, 16, 11, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 8572, 741, 1685, 4, 20, 1049, 33215, 16739, 1575, 381, 6, 83, 6, 8, 211, 40286, 6, 2351, 10, 3366, 219, 5466, 19, 12405, 2933, 223, 34693, 6, 3284, 7630, 14805, 10, 1472, 9, 10563, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50461, 53541, 51293, 51881, 51313, 51615, 51293, 51838, 51145, 52308, 50275, 51158, 51083, 50918, 51020, 51551, 52162, 50857, 57786, 56206, 50935, 53097, 51139, 57900, 52275, 58593, 51707, 56705, 50912, 62974, 66939, 51983, 50420, 51707, 50857, 52554, 50857, 57578, 62105, 50935, 55475, 51949, 53899, 51707, 50904, 52554, 50867, 62974, 66850, 50848, 59029, 52497, 53356, 52660, 50967, 52162, 50886, 57884, 75035, 50847, 54384, 51467, 51909, 55028, 51707, 50886, 52554, 57823, 50851, 62974, 50848, 51000, 70199, 51707, 50867, 52554, 50857, 62105, 57578, 50935, 56558, 52132, 54950, 52162, 50867, 62080, 66850, 50848, 61315, 52497, 66643, 52137, 65680, 55252, 51048, 51020, 51189, 51208, 51496, 51707, 50886, 52554, 50886, 57786, 55806, 50935, 53933, 51139, 51909, 55788, 51707, 50867, 52554, 50867, 62974, 61950, 66939, 70407, 52162, 50857, 58440, 56538, 50935, 56558, 51792, 54673, 51707, 50857, 52554, 50867, 60331, 58876, 50848, 51000, 57706, 53421, 54471, 51048, 51707, 50857, 52554, 50857, 57884, 56206, 50935, 55742, 51406, 51877, 56782, 52162, 73825, 51126, 62974, 61950, 51983, 50456, 51595, 50978, 72697, 51707, 50867, 52554, 50867, 57578, 58440, 50935, 56558, 52132, 54600, 52162, 62626, 50971, 62974, 58876, 57706, 61969, 53389, 51293, 51881, 51293, 51656, 51313, 52137, 50981, 61163, 51060, 51595, 50914, 51020, 51090, 53154, 50886, 51997, 50857, 57884, 61910, 50850, 54312, 51139, 51909, 58593, 52162, 50857, 56955, 69870, 50848, 51000, 51960, 50420, 53154, 57408, 50874, 58440, 50850, 54791, 51792, 53899, 53154, 50857, 51997, 50867, 69870, 56955, 50848, 51000, 57706, 67726, 52430, 51662, 50426, 52887, 51158, 51282, 51145, 51268, 51356, 52162, 50886, 55315, 66523, 50850, 55459, 51187, 51909, 56609, 53154, 50813, 51997, 50867, 56555, 61268, 66939, 74270, 53154, 50867, 51997, 50857, 58440, 59645, 50850, 54791, 51792, 54483, 52162, 50857, 55878, 69870, 50848, 51000, 57706, 54114, 52660, 51158, 53154, 50857, 51997, 50813, 57786, 50850, 68015, 54436, 70005, 55788, 52162, 50867, 56555, 69870, 50848, 51000, 52008, 50444, 53154, 50867, 60577, 59645, 50850, 55475, 51792, 54673, 53154, 50813, 51997, 50813, 56555, 68101, 50848, 51126, 60227, 53430, 53054, 50948, 51282, 50937, 51495, 50936, 52162, 50857, 55315, 59358, 50850, 53825, 51406, 51909, 55351, 53154, 50867, 51997, 65762, 50907, 50848, 51126, 55878, 52008, 50456, 54471, 50865, 51595, 50974, 75839, 52162, 50857, 60577, 66189, 50850, 55475, 51949, 54600, 53154, 50857, 51997, 50867, 56555, 61268, 50848, 51000, 60227, 60323, 53389, 51293, 53100, 51313, 74622, 52225, 51145, 64197, 51158, 51495, 51115, 51089, 51343, 54136, 50813, 58570, 69950, 50850, 53097, 51041, 52275, 58593, 52181, 50813, 55878, 63040, 51017, 51000, 51960, 50420, 52181, 50857, 51997, 50813, 70995, 56640, 50850, 55475, 51949, 53899, 52181, 50904, 51997, 50867, 51017, 51126, 61047, 55878, 57706, 53896, 52645, 51175, 54136, 50886, 69950, 56521, 50850, 53825, 51406, 51909, 55028, 52181, 50886, 51997, 50867, 56555, 61047, 51017, 51000, 74270, 51089, 50892, 51020, 50806, 52181, 50867, 51997, 50857, 67296, 57409, 50850, 56558, 51949, 54034, 54136, 50886, 63040, 56555, 51017, 51000, 57706, 66643, 53129, 56656, 52887, 51073, 51083, 50914, 51268, 50896, 52181, 50867, 51997, 50857, 64047, 56521, 50850, 53933, 51139, 51909, 55788, 52181, 50886, 51997, 50857, 56555, 51017, 50971, 62940, 70407, 54136, 50867, 67727, 63040, 50850, 55475, 51949, 54673, 52181, 50857, 51997, 50867, 62940, 55878, 51017, 51000, 60227, 67421, 52225, 57991, 52645, 51048, 51401, 51003, 51089, 51016, 52181, 50867, 51997, 50867, 66524, 58817, 50850, 55579, 51406, 51909, 56782, 54136, 50864, 51017, 51000, 56555, 63040, 51983, 50456, 52181, 50867, 51997, 50857, 67296, 56640, 50850, 56707, 51949, 54600, 54136, 50886, 56955, 51017, 51000, 62940, 60227, 61969, 53389, 51293, 51881, 51313, 52332, 51293, 51838, 51293, 61163, 51173, 52473, 51422, 51083, 51933, 53154, 50867, 51997, 50857, 55315, 59358, 50850, 54312, 51041, 58168, 51949, 57226, 52162, 50886, 56955, 69870, 50848, 51000, 51983, 50420, 53154, 50813, 58440, 59645, 50850, 56707, 51792, 53991, 53154, 50857, 51997, 50857, 55878, 50848, 51126, 61268, 60227, 53896, 52887, 51173, 52162, 50886, 57884, 59358, 50850, 55579, 76903, 55028, 53154, 50857, 51997, 69942, 51000, 56955, 68101, 70199, 53154, 50813, 51997, 50867, 59645, 62105, 50850, 56768, 51949, 54483, 52660, 50828, 52162, 50867, 55878, 69870, 50848, 59874, 51464, 52520, 54203, 52660, 50948, 53154, 50867, 51997, 50813, 57884, 59358, 50850, 53933, 70005, 56432, 52162, 50857, 56955, 61268, 50848, 51126, 52352, 52388, 52875, 53054, 50865, 53154, 50857, 60577, 59645, 50850, 56558, 70030, 52100, 54673, 53154, 50867, 51997, 50857, 55878, 69870, 50848, 51000, 60227, 53421, 54471, 50865, 54219, 51012, 52162, 50867, 55315, 50944, 60303, 55742, 51467, 51909, 55351, 53154, 50857, 51997, 50857, 56555, 61268, 66939, 51983, 50456, 52887, 50924, 54246, 50923, 52162, 50857, 62105, 59645, 50850, 54384, 53270, 51792, 54600, 53154, 50857, 51997, 50867, 55878, 69870, 50848, 77093, 51539, 52859, 60323, 53389, 51293, 51881, 51293, 52332, 51151, 61163, 51158, 54108, 51454, 53154, 50864, 75938, 57884, 61910, 50850, 53097, 51139, 58168, 51792, 56231, 52162, 50941, 55878, 69870, 50848, 51000, 51960, 50420, 53154, 50886, 58440, 69870, 50850, 55475, 51949, 54604, 53154, 50904, 51997, 50904, 56955, 66939, 69870, 57706, 53356, 52887, 51215, 54108, 51552, 52162, 50904, 57884, 66523, 50850, 59488, 51406, 51877, 56609, 53154, 50864, 51997, 50904, 61268, 56555, 50848, 51126, 70199, 53154, 50864, 75938, 60577, 69870, 50850, 56558, 51949, 54483, 52162, 50971, 50848, 51000, 55878, 50944, 55601, 52497, 54203, 52660, 51215, 53154, 50864, 75938, 60577, 59358, 50850, 53959, 51041, 51909, 56432, 52162, 50904, 50848, 51126, 69870, 50850, 51589, 53384, 53154, 50904, 62105, 55853, 50944, 56254, 51949, 54284, 53154, 50864, 75938, 55878, 69870, 50848, 51126, 60227, 54044, 53311, 51073, 54219, 50923, 52162, 50941, 59358, 55315, 50850, 58972, 51406, 51909, 55351, 53154, 50886, 51997, 50904, 56555, 61268, 50848, 51000, 52008, 50456, 52355, 50911, 52162, 50864, 60577, 55853, 50944, 55249, 51792, 55053, 53154, 50864, 75938, 56955, 61268, 50848, 51000, 57706, 60323, 53541, 51148, 51881, 51293, 51615, 51145, 62640, 51173, 52824, 51551, 52162, 50886, 57884, 55806, 50935, 54312, 76902, 57226, 51707, 50864, 62080, 61950, 50848, 51000, 51960, 50420, 51707, 50886, 52554, 50904, 62105, 61253, 50847, 55249, 51949, 53991, 51707, 50971, 52554, 50864, 50848, 51126, 62974, 66850, 60227, 54953, 51995, 51173, 52162, 50971, 77283, 55315, 50935, 63088, 51406, 51877, 55028, 51707, 50941, 52554, 50941, 62080, 66850, 66939, 74270, 51707, 50864, 52554, 50864, 62105, 57578, 50935, 54791, 51949, 54950, 52162, 50904, 58876, 60331, 50848, 51000, 60227, 61562, 53389, 51145, 52332, 64488, 52660, 51158, 52355, 50980, 53154, 50904, 51997, 50904, 60577, 61910, 50850, 53933, 71271, 56432, 53154, 50971, 51997, 50904, 50848, 51126, 56555, 69870, 70407, 52162, 50904, 62105, 59645, 50850, 54791, 51792, 54673, 53154, 50941, 51997, 50904, 68101, 56555, 66939, 60227, 54044, 52887, 50865, 54108, 51030, 53154, 50904, 51997, 50886, 50944, 55582, 50827, 50850 ]
[ 0, 250, 20902, 3495, 1619, 2214, 19, 10, 2842, 9, 15855, 2712, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 13305, 6, 21979, 8669, 6, 31365, 6673, 6909, 6, 8, 21979, 9590, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 748, 1879, 15525, 20889, 9, 10572, 13410, 228, 2289, 6, 24, 11498, 10, 33928, 8, 17627, 17274, 6711, 1328, 63, 204, 73, 306, 86, 6543, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 9, 163, 428, 6, 230, 119, 406, 6, 8, 163, 35470, 757, 6, 1271, 10, 12405, 11057, 12, 13028, 12117, 7, 42, 12298, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 50906, 51346, 50876, 51346, 51001, 51346, 51197, 51346, 50861, 51346, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51560, 58747, 51663, 52761, 51643, 51025, 52200, 51377, 52436, 51377, 50421, 51979, 51377, 50425, 51197, 69706, 68240, 61204, 60799, 51298, 50854, 52112, 50432, 51652, 50866, 51721, 50866, 52394, 50866, 52608, 50866, 51556, 57352, 51643, 76013, 52200, 51158, 51979, 51158, 52436, 51158, 51234, 51162, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51098, 51241, 50852, 55354, 51721, 50862, 52394, 50862, 51978, 64598, 51652, 61495, 51234, 51377, 50450, 52770, 51060, 51652, 51060, 52394, 51060, 63010, 56206, 66249, 51298, 59904, 51179, 57143, 53628, 77852, 51652, 50862, 79118, 51721, 50862, 52394, 50862, 51978, 50862, 50799, 52200, 51192, 52436, 51192, 50906, 51346, 50876, 51346, 50861, 51346, 51197, 51346, 50979, 51312, 77643, 50939, 51312, 51560, 51241, 50852, 57056, 51643, 51192, 51979, 51192, 51001, 51346, 50422, 51652, 53910, 51721, 50813, 52394, 50857, 52608, 60811, 51643, 51158, 51197, 69706, 52200, 51158, 52436, 51173, 50906, 51162, 51001, 51162, 68240, 61204, 60799, 52261, 50427, 51979, 51173, 50861, 51162, 50876, 51162, 50434, 51643, 50840, 51461, 60157, 52113, 50840, 52656, 50840, 52436, 50840, 66290, 50968, 51400, 51234, 51400, 50965, 51400, 50906, 51400, 50876, 51400, 75548, 50992, 51380, 50935, 51380, 51840, 51380, 50852, 59484, 54021, 63771, 50965, 51346, 65851, 51346, 50968, 51346, 50848, 50833, 65500, 70392, 51840, 50833, 51493, 51377, 50903, 54162, 51044, 56688, 51315, 51346, 50876, 51346, 51621, 55971, 50906, 51346, 54960, 51346, 51001, 51346, 50861, 51346, 50979, 51312, 77643, 50939, 51312, 51560, 58747, 51759, 55376, 51197, 51346, 50420, 51643, 51377, 52200, 51377, 52436, 51377, 50421, 51979, 51377, 56546, 51162, 50906, 51162, 51001, 51162, 50979, 55305, 57424, 51373, 56171, 51197, 51162, 50861, 70705, 51652, 50866, 51721, 50866, 52394, 50866, 52608, 50866, 51556, 56305, 51979, 51158, 51085, 51162, 50956, 69205, 51643, 51158, 52200, 51158, 52436, 79306, 51162, 50900, 51162, 50906, 51162, 50979, 51253, 50939, 51253, 50909, 51253, 51439, 51253, 51461, 51091, 50852, 53641, 51652, 50862, 51721, 50862, 52394, 50862, 52608, 53938, 52770, 51060, 51652, 51060, 53628, 51060, 52394, 51060, 50956, 51377, 51085, 51377, 50861, 51377, 50979, 57424, 57262, 50810, 51439, 58713, 51179, 57143, 50900, 51377, 50906, 51377, 50458, 51652, 50862, 52394, 50862, 52261, 50459, 51721, 50862, 52608, 59496, 51979, 51192, 71756, 51192, 52200, 51192, 52436, 51192, 51234, 51346, 50956, 51346, 50861, 51346, 50900, 51346, 50906, 51346, 50979, 51312, 77643, 50939, 51312, 50909, 51312, 51461, 54490, 60170, 52394, 56133, 51652, 50813, 51721, 50813, 52608, 60811, 50973, 69706, 51667, 51158, 52226, 51158, 52491, 51173, 51979, 51173, 51040, 51162, 50861, 51162, 50916, 51162, 51279, 51162, 51017, 56705, 58975, 68820, 50813, 52419, 50889, 52261, 50435, 51721, 50840, 51633, 50840, 51978, 50840, 52656, 50840, 51956, 50437, 50965, 51400, 50876, 51400, 50871, 51400, 50438, 51234, 51400, 50899, 51400, 75548, 50992, 51380, 50909, 51380, 51439, 51380, 50852, 59484, 54021, 63771, 51120, 74190, 50965, 51346, 50871, 51346, 50876, 51346, 50899, 51346, 50848, 50833, 65500, 61966, 51439, 50833, 51140, 51377, 52243, 51502, 51135, 50828, 51621, 50820, 55694, 51346, 50956, 51346, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51560, 58747, 51759, 55376, 50861, 51346, 50900, 51346, 51197, 51346, 50419, 51979, 51377, 50420, 52200, 51377, 52436, 51377, 50421, 51643, 51377, 50425, 51197, 69706, 68240, 61204, 60799, 51298, 53330, 56999, 52394, 53961, 51652, 50866, 51721, 50866, 52608, 50866, 51556, 56305, 51979, 76013, 51643, 51158, 52200, 51158, 52436, 51158, 51026, 51162, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51098, 51241, 50852, 57000, 51652, 56112, 51721, 50862, 52394, 50862, 52608, 61495, 51026, 51377, 50450, 52770, 51060, 51652, 51060, 52394, 51060, 63010, 56206, 66249, 51298, 59904, 51179, 57143, 53628, 77852, 51652, 50862, 52261, 50459, 51721, 50862, 52394, 50862, 52608, 59496, 50876, 51346, 71756, 51192, 52200, 51192, 51978, 51192, 52656, 51192, 51503, 51346, 50965, 51346, 50871, 51346, 50885, 51312, 50979, 51312, 50992, 51312, 51522, 51241, 50852, 57056, 50956, 51346, 50423, 52185, 50813, 51643, 50813, 52608, 50857, 51978, 60811, 51503, 51162, 50871, 69706, 51643, 51158, 52200, 51158, 51978, 51173, 52656, 51173, 50876, 51162, 50965, 51162, 61377, 68240, 62993, 52261, 50427, 50956, 51162, 50434, 52200, 50840, 51140, 60157, 53179, 50840, 52380, 50840, 51956, 50436, 52172, 53813, 50876, 51400, 51279, 51400, 50989, 51400, 50885, 51380, 50979, 51380, 50944, 51380, 74435, 50852, 57014, 50877, 51400, 50956, 51400, 50446, 51930, 63771, 50877, 74190, 51279, 51346, 50876, 51346, 50956, 51346, 50989, 51346, 50885, 62295, 67380, 50833, 59416, 52419, 51377, 52243, 51502, 51135, 50828, 51621, 50820, 57923, 51346, 50876, 51346, 51234, 51346, 50861, 51346, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51560, 58747, 51759, 55376, 50906, 51346, 50420, 51643, 51377, 52200, 51377, 51979, 51377, 52436, 51377, 50426, 51234, 51162, 50979, 55305, 69802, 51298, 51373, 56999, 52394, 53961, 51652, 50866, 51721, 50866, 52608, 50866, 51556, 52600, 51643, 51158, 52200, 51158, 51979, 51158, 52436, 51158, 51214, 51162, 50979, 51253, 67591, 50939, 51253, 51298, 51253, 51098, 51241, 50852, 57000, 52394, 56112, 51652, 50862, 51721, 50862, 52608, 61495, 53628, 60866, 51652, 51060, 52394, 51060, 51214, 51377, 50979, 55305, 69802, 51298, 58713, 51179, 57143, 52770, 77852, 51652, 50862, 52394, 50862, 52261, 50459, 51721, 50862, 52608, 80139, 51961, 50847, 51961, 50939, 51961, 51298, 51961, 50799, 52200, 51192, 51979, 51192, 52436, 51192, 50906, 51346, 50861, 51346, 51197, 51346, 50876, 51346, 51560, 54490, 57056, 51643, 51192, 51001, 51346, 50423, 51652, 50813, 51721, 50813, 52394, 50857, 52608, 60811, 51120, 51162, 79494, 50973, 69706, 52135, 51158, 51633, 51158, 52891, 51173, 52172, 51173, 50989, 51162, 50902, 51162, 51042, 57408, 56608, 59864, 50813, 51273, 50807, 52261, 50434, 51979, 55782, 51643, 50840, 52200, 50840, 52436, 50840, 51956, 50436, 50979, 51542, 50847, 51542, 50939, 51542, 51298, 51542, 50438, 51001, 73797, 65327, 75600, 50977, 51560, 55633, 57014, 51197, 51400, 50444, 50931, 51480, 51147, 51480, 51405, 51480, 50445, 51062, 51480, 50446, 51456, 52802, 51234, 51346, 50979, 75020, 63725, 75471, 50862, 51140, 58785, 54162, 51044, 79467, 57208, 51456, 52738, 50951, 52363, 50328, 52363, 50331, 51058, 50457, 51081, 51058, 50458, 51289, 50818, 51621, 50820, 63515, 51197, 51346, 50861, 51346, 50876, 51346, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51560, 58747, 51663, 55376, 51001, 51346, 50906, 51346, 50420, 51643, 51025, 52200, 51377, 51979, 51377, 52436, 51377, 50425, 51197, 69706, 68240, 61204, 60799, 51298, 50854, 52112, 50431, 52394, 53961, 51721, 50866, 52608, 50866, 50433, 51652, 50866, 51556, 53040, 52200, 51158, 51979, 51158, 52436, 51158, 51234, 51162, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51098, 51241, 50852, 57014, 51643, 51158, 50446, 52394, 56112, 51721, 50862, 51978, 64598, 51652, 61495, 53628, 60866, 52770, 51060, 51652 ]
[ 0, 713, 5175, 19834, 2125, 6, 278, 11, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1931, 21683, 10, 19448, 8, 1372, 16464, 4, 20, 3459, 8669, 8, 13305, 185, 5, 483, 6, 7513, 30, 5, 32625, 23225, 9, 10, 21040, 2426, 6, 18558, 6, 8, 1076, 560, 31365, 25999, 4, 590, 10, 20889, 9, 5962, 163, 5683, 6, 5, 2214, 3136, 23, 41, 12447, 1001, 2877, 6, 4246, 10, 33215, 16739, 9, 12608, 6, 272, 6, 230, 119, 6, 12608, 406, 6, 8, 272, 37152, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 57448, 50956, 61508, 74360, 50828, 51930, 51472, 51209, 50886, 51408, 50862, 52031, 58738, 62238, 50956, 61368, 63947, 50813, 51209, 50886, 51408, 50862, 52031, 58738, 59136, 50956, 61368, 69771, 50855, 51209, 50867, 51408, 50862, 52031, 64154, 52670, 50956, 60924, 63947, 50862, 51209, 50867, 51408, 50862, 52031, 58738, 58032, 50956, 60924, 61339, 50862, 51209, 50886, 51408, 50862, 52031, 58738, 59347, 50956, 61368, 72020, 50862, 51209, 50886, 51408, 50862, 52031, 58738, 53040, 50956, 61368, 63947, 50855, 51930, 51345, 51209, 50867, 51408, 50862, 52031, 58738, 58655, 50956, 60924, 61339, 50855, 51209, 50886, 73326, 52031, 58738, 59673, 50956, 59244, 63947, 50855, 51209, 50867, 73326, 52031, 60561, 53533, 50899, 72389, 62391, 50836, 51389, 51112, 51547, 50867, 51229, 50862, 51390, 60903, 60053, 50899, 74463, 62391, 50855, 51547, 50867, 51229, 50862, 51390, 58738, 56637, 50899, 72389, 62391, 50836, 51547, 50867, 51229, 50862, 51390, 58738, 50884, 56178, 61368, 79266, 50887, 51930, 50893, 51209, 51003, 51408, 50914, 52031, 50914, 51068, 54292, 52758, 77225, 54544, 51112, 56178, 71945, 68128, 50855, 51522, 51472, 51772, 50955, 51674, 50878, 51334, 50833, 54799, 51605, 57922, 53501, 58220, 57978, 61798, 50956, 61257, 62141, 50867, 51772, 50878, 51674, 50854, 51334, 62642, 50956, 68340, 50813, 57966, 51772, 50878, 51674, 50810, 51334, 53049, 50956, 68340, 60982, 50862, 51772, 50878, 51674, 50854, 51334, 64154, 59508, 50956, 64397, 60982, 50867, 51772, 50955, 51674, 50810, 51334, 65053, 50956, 68340, 50829, 57966, 51772, 50878, 51674, 50942, 51334, 54172, 53018, 50956, 73268, 61547, 50813, 51150, 51157, 51772, 50878, 51674, 50854, 51334, 50812, 52832, 57978, 58900, 50956, 73477, 66875, 50834, 51772, 50878, 51674, 50810, 51334, 64661, 50956, 73940, 62088, 50820, 51772, 50878, 51674, 50810, 51334, 53639, 50876, 70157, 68340, 50862, 51930, 51048, 51772, 50878, 51674, 50810, 51334, 50808, 52770, 50977, 51068, 59753, 50956, 64397, 66423, 50857, 51772, 50878, 51674, 50854, 51334, 63569, 50956, 73268, 60982, 50867, 51772, 50955, 51674, 50844, 51334, 50833, 56178, 68340, 60982, 50862, 51522, 51291, 51772, 50955, 51674, 50810, 51334, 50833, 58220, 54420, 59527, 50956, 64660, 50829, 57966, 51772, 50955, 51674, 50878, 51334, 62642, 50956, 64397, 66423, 50829, 51772, 50955, 51674, 50844, 51334, 53049, 50956, 73268, 62780, 50862, 51772, 50878, 51674, 50810, 51334, 50833, 54544, 51173, 51068, 56839, 50956, 64397, 60982, 50813, 51772, 50878, 51674, 50844, 51334, 63023, 50965, 62869, 72889, 50825, 51772, 50844, 51674, 50810, 51334, 50854, 54544, 53988, 53018, 50956, 68340, 61547, 50813, 51150, 51346, 51772, 50810, 51674, 50854, 51334, 50812, 52832, 54732, 58751, 56267, 63792, 50956, 50813, 57966, 50965, 50829, 51772, 50810, 51674, 50810, 51334, 68785, 50956, 68340, 50834, 57966, 51772, 50878, 51674, 50810, 51334, 53639, 50956, 73268, 61547, 50813, 51930, 51157, 51772, 50878, 51674, 50810, 51334, 50833, 52770, 50977, 51068, 59753, 50956, 61257, 60982, 50857, 51772, 50810, 51674, 50810, 51334, 50833, 54990, 74653, 54799, 61963, 50956, 68340, 66875, 50862, 51772, 50844, 51674, 50844, 51334, 62659, 54990, 51364, 55524, 64189, 61339, 50862, 51150, 51291, 51366, 50878, 51209, 50942, 51334, 50925, 55283, 53501, 52832, 54420, 59527, 50916, 53529, 50311, 50928, 50906, 50904, 51366, 50878, 51209, 50942, 51334, 65944, 50916, 61077, 62339, 50867, 51366, 50878, 51209, 50878, 51334, 50925, 56248, 61381, 70483, 50862, 51366, 50878, 51209, 50854, 51334, 50925, 51068, 57531, 50916, 62614, 62339, 50857, 51366, 50878, 79529, 51334, 59662, 50916, 62531, 70483, 50862, 51366, 50878, 51209, 50854, 51334, 50925, 52969, 53402, 50916, 62614, 62339, 50813, 51984, 51157, 51366, 50955, 51209, 50854, 51334, 50925, 53195, 51896, 52376, 56369, 59721, 50916, 62614, 62339, 50813, 51366, 50878, 79529, 51334, 62604, 50916, 60924, 61339, 50862, 51366, 50878, 51209, 50854, 51334, 58460, 50916, 60334, 62614, 50829, 52078, 51112, 51366, 50878, 51209, 50878, 51334, 50925, 51652, 50925, 51068, 59753, 50916, 65633, 61077, 50837, 51366, 50955, 51209, 50942, 51334, 65737, 50916, 61381, 70483, 50857, 51366, 50955, 79529, 51334, 50925, 55524, 60924, 70483, 50862, 51150, 51446, 51366, 50955, 51209, 50878, 51334, 50942, 52832, 57978, 62238, 50916, 61077, 69074, 50857, 51366, 50955, 51209, 50878, 51334, 65944, 50916, 61381, 60102, 50813, 51366, 50878, 51209, 50942, 51334, 50925, 56248, 62614, 61339, 50862, 51366, 50878, 51209, 50942, 51334, 50925, 51068, 59508, 50916, 61077, 69074, 50857, 51366, 50878, 51209, 50942, 51334, 64160, 50916, 61077, 62339, 50862, 51366, 50955, 51209, 50854, 51334, 56873, 54483, 54799, 51661, 59419, 61339, 61368, 50839, 51984, 51346, 51366, 50878, 51209, 50854, 51334, 50925, 52376, 56369, 59144, 50916, 61381, 62339, 50867, 51366, 50955, 79529, 51334, 62604, 50916, 62614, 72020, 50813, 51366, 50955, 51209, 50878, 51334, 58332, 50916, 60924, 72020, 50862, 52078, 50991, 51366, 50878, 51209, 50854, 51334, 50925, 51652, 50977, 51068, 59753, 50916, 61077, 62339, 50867, 51366, 50878, 51209, 50854, 51334, 63569, 50916, 62614, 61339, 50813, 51366, 50955, 79529, 51334, 50833, 54990, 50830, 54578, 68340, 62780, 50862, 51140, 51291, 51256, 50878, 51674, 50942, 51334, 50833, 54799, 50830, 53985, 53601, 51831, 57978, 62307, 50871, 68340, 62088, 50862, 51256, 50878, 51674, 50878, 51334, 50925, 54990, 50925, 50421, 56267, 51486, 63714, 64397, 60982, 50857, 51256, 50878, 51674, 50942, 51334, 53049, 50871, 68340, 50813, 57966, 51256, 50878, 51674, 50878, 51334, 64154, 59508, 50871, 71300, 62141, 50867, 51256, 50878, 51674, 50942, 51334, 65053, 50871, 68340, 60982, 50813, 51256, 50878, 51674, 50878, 51334, 54172, 54114, 50871, 64397, 60982, 50813, 51522, 51157, 51256, 50878, 51674, 50942, 51334, 50833, 52185, 60146, 59721, 50871, 61257, 60982, 50813, 51256, 50878, 51674, 50942, 51334, 64661, 50871, 68340, 60982, 50813, 51256, 50955, 51674, 50878, 51334, 54276, 50871, 68340, 60982, 50862, 51150, 51346, 51256, 50878, 51674, 50942, 51334, 50833, 51643, 50977, 51068, 57208, 50871, 61257, 62141, 50867, 51256, 50878, 51674, 50878, 51334, 63569, 50871, 60982, 68340, 50813, 51256, 50878, 51674, 50942, 51334, 50833, 54578, 61257, 62780, 50862, 51140, 51446, 51256, 50955, 51674, 50942, 51334, 50812, 51831, 57990, 59527, 50871, 62141, 61257, 50829, 51256, 50878, 51674, 50878, 51334, 62642, 50871, 61257, 60982, 50857, 51256, 50878, 51674, 50878, 51334, 53049, 50876, 62379, 68340, 50857, 51256, 50878, 51674, 50878, 51334, 50833, 53032, 64187, 57531, 50965, 62780, 60365, 50829, 51256, 50878, 51674, 50878, 51334, 65053, 50871, 68340, 62780, 50862, 51256, 50878, 51674, 50878, 51334, 50833, 53032, 53474, 53115, 50871, 61547, 73268, 50862, 51522, 51346, 51256, 50878, 51674, 50878, 51334, 50833, 52185, 57990, 57972, 53141, 50952, 50442, 50876, 60365, 66811, 50867, 51256, 50955, 51674, 50878, 51334, 68785, 50871, 73268, 62780, 50862, 51256, 50878, 51674, 50878, 51334, 53639, 50871, 68340, 62780, 50862, 51150, 51346, 51256, 50878, 51674, 50878, 51334, 50833, 51643, 50977, 51068, 59753, 50871, 60982, 68340, 50857, 51256, 50878, 51674, 50878, 51334, 50854, 52969, 60715, 56267, 59831, 50871, 73268, 62780, 50862 ]
[ 0, 250, 765, 5175, 37903, 4246, 10, 38668, 483, 6, 2370, 21305, 6, 8, 18558, 6, 7513, 30, 21072, 8, 10, 38668, 2236, 4, 20, 2125, 16, 278, 11, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 2351, 10, 2635, 6, 15352, 30054, 6, 8, 3366, 219, 5466, 14, 7630, 6568, 10, 1472, 9, 980, 8, 26545, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50416, 57677, 51016, 57541, 51016, 58004, 51016, 55668, 50802, 54045, 50893, 51612, 51016, 56620, 50893, 51206, 52220, 58026, 60264, 55462, 50802, 55205, 50893, 56334, 53734, 57615, 51289, 60066, 60264, 55462, 50802, 55205, 50858, 51567, 51941, 56334, 56285, 57925, 55205, 60661, 55668, 50802, 54045, 50858, 56620, 53734, 57880, 54045, 55509, 62281, 57541, 51016, 58621, 51016, 63036, 51016, 53929, 50802, 54426, 50893, 58267, 56285, 51928, 59116, 58205, 53354, 50802, 53452, 50893, 58048, 53734, 52220, 57891, 50843, 52220, 62103, 58205, 53354, 50802, 53452, 50858, 58048, 53734, 52220, 58403, 53452, 67320, 58461, 53283, 50802, 53494, 50893, 65166, 53734, 54831, 56771, 65242, 51809, 60378, 57541, 51016, 58621, 51016, 61514, 51016, 53907, 50802, 54776, 50893, 52792, 51941, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 60378, 50720, 50301, 55509, 52220, 56861, 50720, 50301, 52153, 57880, 50843, 62281, 50720, 50301, 56189, 51928, 59116, 54426, 50858, 50720, 50301, 55509, 57891, 54426, 50858, 50452, 54426, 50858, 52075, 51977, 50720, 50301, 52153, 58403, 50720, 50301, 55509, 56575, 53929, 50802, 54426, 56285, 50803, 51809, 58461, 58065, 51016, 60516, 51016, 61514, 51016, 53354, 50802, 53452, 50893, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 58461, 50720, 50301, 55509, 52220, 56861, 51612, 51977, 50720, 50301, 52153, 57880, 50843, 62281, 50720, 50301, 56189, 51928, 59116, 54426, 50858, 50720, 50301, 55509, 57891, 54426, 50858, 50452, 54426, 50858, 50720, 50301, 52153, 58403, 50720, 50301, 55509, 56575, 53929, 50802, 54426, 56285, 50803, 51809, 71435, 58065, 51016, 60516, 51016, 61514, 51016, 53354, 50802, 53452, 50893, 52290, 51941, 50791, 52220, 60442, 50843, 58026, 50852, 60066, 54426, 55509, 52220, 57925, 54426, 60661, 60264, 54426, 50858, 62655, 52153, 57880, 50843, 62281, 71435, 54426, 50858, 62655, 56189, 51928, 60254, 54426, 63774, 54426, 50858, 62655, 55509, 57891, 62655, 50858, 50452, 54426, 50858, 51612, 51016, 62655, 52153, 58403, 54426, 55509, 56575, 53929, 50803, 54426, 56189, 56771, 53929, 50803, 54426, 50858, 51809, 57677, 51016, 57541, 51016, 58004, 51016, 55668, 50802, 54045, 50893, 51612, 51016, 56620, 53734, 52220, 60442, 50843, 58026, 60264, 55462, 50802, 55205, 50893, 56334, 56285, 52220, 60066, 60264, 55462, 50803, 55205, 50858, 51567, 51941, 56334, 59893, 52220, 57925, 55462, 50803, 55205, 60661, 55668, 50803, 54045, 50858, 56620, 53734, 57880, 55668, 50803, 54045, 55509, 62281, 57541, 51016, 58621, 51016, 63036, 51016, 53929, 50802, 54426, 50893, 58267, 56285, 51928, 59116, 58205, 53354, 50802, 53452, 50893, 58048, 59893, 52220, 62103, 58205, 53354, 50802, 53452, 50858, 58048, 53734, 52220, 58403, 53452, 55509, 56575, 58461, 53283, 50802, 53494, 50893, 65166, 56285, 50803, 51809, 60378, 57541, 51016, 58621, 51016, 61514, 51016, 53907, 50824, 54776, 51016, 51612, 51016, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 60378, 51567, 51941, 50720, 50301, 55509, 52220, 56861, 50720, 50301, 52153, 57880, 50843, 62281, 50720, 50301, 56189, 51928, 59116, 54426, 50858, 50720, 50301, 55509, 57891, 54426, 50858, 50452, 54426, 50858, 50720, 50301, 52153, 58403, 50720, 50301, 55509, 56575, 53929, 50802, 54426, 56285, 50803, 51809, 58461, 58065, 51016, 60516, 51016, 61514, 51016, 53354, 50824, 53452, 51016, 52792, 51941, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 58461, 50720, 50301, 55509, 52220, 56861, 50720, 50301, 52153, 57880, 50843, 62281, 50720, 50301, 56189, 51928, 59116, 54045, 50858, 50720, 50301, 55509, 57891, 54045, 50858, 50452, 54045, 50858, 52075, 51977, 50720, 50301, 52153, 58403, 50720, 50301, 55509, 56575, 53929, 50802, 54426, 56285, 50803, 51809, 71435, 58065, 51016, 60516, 51016, 61514, 51016, 53354, 50802, 53452, 53734, 52220, 60442, 50843, 58026, 50852, 60066, 54045, 55509, 52220, 57925, 54045, 60661, 60264, 54045, 50858, 51612, 51977, 62655, 52153, 57880, 50843, 62281, 71435, 54045, 50858, 62655, 56189, 51928, 60254, 54045, 63774, 54045, 50858, 62655, 55509, 57891, 62655, 50858, 50452, 54045, 50858, 62655, 52153, 58403, 50843, 56575, 53929, 50803, 54426, 56189, 56771, 53929, 50803, 54426, 50858, 51809, 57677, 51016, 57541, 51016, 58004, 51016, 55668, 50802, 54045, 50893, 52290, 51941, 56620, 53734, 52220, 60442, 50843, 58026, 60264, 55462, 50802, 55205, 50893, 56334, 56285, 57615, 51224, 60066, 60264, 55462, 50803, 55205, 50858, 56334, 50893, 51224, 52220, 57925, 55462, 50803, 55205, 69520, 56861, 55668, 50803, 54045, 50858, 56620, 53734, 57880, 55668, 50803, 54045, 55509, 62281, 57541, 51016, 58621, 51016, 63036, 51016, 53929, 50802, 54426, 50893, 58267, 56285, 51928, 59116, 58205, 53354, 50802, 53452, 50893, 58048, 59893, 52220, 62103, 58205, 53354, 50802, 53452, 50858, 51612, 51016, 58048, 53734, 52220, 58403, 53452, 55509, 56575, 58461, 53283, 50802, 53494, 50893, 65166, 56285, 50803, 51809, 60378, 57541, 51016, 58621, 51016, 61514, 51016, 53907, 50824, 54776, 51016, 51612, 51016, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 60378, 55205, 51356, 51567, 51941, 50720, 50301, 55509, 52220, 56861, 50720, 50301, 52153, 57880, 50843, 62281, 50720, 50301, 56189, 51928, 59116, 50720, 50301, 55509, 62103, 50720, 50301, 52153, 58403, 50720, 50301, 55509, 56575, 53929, 50802, 54426, 56285, 50803, 51809, 58461, 58065, 51016, 60516, 51016, 61514, 51016, 53354, 50824, 53452, 51016, 51612, 51016, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 58461, 54045, 50858, 51567, 51941, 50720, 50301, 55509, 52220, 57925, 54045, 60661, 54045, 50858, 50720, 50301, 52153, 57880, 50843, 62281, 54045, 50858, 50720, 50301, 56189, 51928, 60254, 54045, 63774, 54045, 50858, 50720, 50301, 55509, 62103, 54045, 50858, 50720, 50301, 52153, 58403, 54045, 50858, 50720, 50301, 55509, 56575, 53929, 50802, 54426, 56285, 50803, 51809, 71435, 58065, 51016, 60516, 51016, 61514, 51016, 53354, 51029, 53452, 51343, 52792, 51941, 50791, 52220, 60442, 50843, 58026, 50852, 60066, 50843, 52220, 56861, 60264, 53283, 50802, 62655, 52153, 57880, 50843, 62281, 71435, 55612, 50802, 54045, 50858, 62655, 56189, 51928, 60254, 54045, 63774, 53907, 50802, 54045, 50858, 62655, 55509, 57891, 62655, 50858, 50452, 52998, 50824, 54045, 50858, 52075, 51977, 62655, 52153, 58403, 54045, 55509, 56575, 54045, 56189, 50803, 51809, 57677, 51016, 57541, 51016, 58004, 51016, 54045, 50893, 56620, 53734, 52220, 60442, 50843, 58026, 60264, 55205, 50893, 56334, 56285, 52220, 60066, 60264, 55205, 50858, 56334, 59893, 52220, 57925, 55205, 60661, 54045, 50858, 51612, 51977, 56620, 53734, 57880, 54045, 55509, 62281, 57541, 51016, 58621, 51016, 63036, 51016, 54426, 50893, 58267, 56285, 51928, 59116, 58205, 53452, 50893, 58048, 59893, 52220, 62103, 58205, 53452, 50858, 58048, 53734, 52220, 58403, 53452, 55509, 56575, 58461, 53494, 50893, 65166, 56285, 50803, 51809, 60378, 57541, 51016, 58621, 51016, 61514, 51016, 53283, 51029, 54776, 50893, 52290, 51941, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 60378, 54776, 50858, 50720, 50301, 55509, 52220, 57925, 54776, 60661 ]
[ 0, 250, 20902, 8, 15352, 30054, 5175, 2125, 6, 42, 765, 2214, 1575, 10, 13305, 816, 38351, 6460, 3435, 11, 230, 538, 4, 590, 10, 12701, 4450, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 149, 10, 33215, 13931, 9, 230, 6, 211, 119, 6, 230, 6, 8, 274, 6, 2351, 10, 6878, 8, 17627, 17274, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 51050, 71508, 51412, 50423, 50968, 52580, 50931, 55544, 50951, 52718, 50999, 56391, 50951, 52985, 50999, 56711, 51081, 50838, 54197, 51962, 50328, 58187, 51062, 57937, 50637, 51062, 68861, 50637, 50444, 50637, 51339, 57060, 50636, 50450, 50636, 51062, 70184, 50636, 50456, 50636, 51220, 56517, 50636, 67004, 50997, 51962, 50326, 55126, 51081, 53591, 50999, 52580, 50951, 55544, 51081, 52718, 50637, 50997, 52363, 50326, 68861, 50637, 50444, 50637, 51081, 54043, 50636, 50999, 52989, 50636, 50951, 70184, 50636, 50456, 50636, 51081, 56517, 50636, 67004, 51050, 77244, 55126, 51147, 52688, 51050, 52104, 50325, 55544, 51026, 52216, 50326, 52718, 51176, 52104, 50327, 56391, 51027, 52216, 50328, 52985, 50997, 52104, 50329, 56711, 51027, 52216, 50328, 50838, 54197, 51481, 50931, 51412, 55961, 75741, 50968, 52580, 51050, 75598, 55544, 50871, 74337, 52718, 51050, 52104, 50325, 56391, 50871, 74337, 52985, 51050, 52104, 50325, 56711, 50871, 52216, 50326, 50838, 54197, 51481, 51062, 50995, 55961, 55752, 51050, 52104, 50328, 51097, 58783, 55659, 50637, 51050, 52104, 50328, 68861, 50637, 50444, 50636, 50871, 52216, 50333, 57060, 50636, 50450, 50636, 51050, 52104, 50328, 70184, 50636, 50456, 50636, 50871, 52216, 50327, 56517, 50636, 55435, 51481, 51081, 67943, 50637, 62143, 52216, 50326, 53591, 50999, 52580, 50997, 72895, 55544, 50906, 52216, 50326, 52718, 50997, 52104, 50326, 56391, 50906, 52216, 50326, 54043, 50999, 52989, 50997, 72895, 56711, 50906, 52216, 50326, 50838, 54197, 51481, 50999, 55126, 50871, 52216, 50324, 52688, 51050, 52104, 50325, 55544, 50871, 52216, 50326, 52718, 50637, 51050, 52104, 50325, 68861, 50637, 50444, 50637, 50871, 74337, 57060, 50636, 50450, 50636, 51050, 75598, 78252, 50636, 50456, 50636, 50871, 67273, 50636, 67004, 51081, 50822, 50997, 51412, 50416, 51062, 73616, 51081, 51481, 50423, 51050, 52580, 51315, 55544, 51050, 52718, 50637, 51081, 50874, 50997, 51534, 50440, 51062, 55608, 50637, 50443, 51081, 51481, 50444, 50637, 50447, 50636, 51050, 52989, 50636, 51315, 70184, 50636, 50456, 50636, 51050, 56517, 50636, 67004, 50900, 77406, 60726, 51085, 53591, 51120, 52580, 51315, 58519, 51197, 52739, 51315, 53720, 51050, 52788, 50637, 51026, 58666, 50637, 51378, 53086, 50636, 51026, 54043, 50636, 51027, 52989, 50636, 50997, 59835, 50636, 51027, 53176, 50636, 51146, 75280, 57110, 57127, 51430, 56551, 50636, 60906, 50460, 51146, 50864, 54197, 51481, 50417, 50637, 55961, 52216, 50333, 52688, 51050, 52104, 50328, 55544, 50871, 52216, 50326, 52718, 50999, 51764, 50297, 51079, 50439, 51081, 57917, 50999, 61285, 51081, 53114, 50871, 71106, 50951, 52989, 51050, 75598, 68987, 50871, 74056, 51074, 56807, 50822, 51026, 51412, 50416, 61111, 50419, 50951, 51481, 50423, 51120, 52580, 51360, 55544, 51120, 52718, 63302, 51026, 51534, 50440, 61111, 50443, 50951, 51481, 50447, 51120, 52989, 51360, 59111, 51120, 51074, 59733, 51609, 50297, 51481, 50416, 51146, 62016, 51062, 54202, 50871, 52216, 50333, 52688, 51050, 52104, 50328, 55544, 50871, 52216, 50326, 52718, 50999, 51764, 50297, 51079, 50440, 51081, 64524, 50999, 54394, 50871, 74337, 52985, 51050, 75598, 56711, 50871, 74056, 50838, 54955, 58794, 71946, 50995, 53523, 50874, 50876, 58519, 60906, 50876, 52739, 61335, 50902, 53720, 61022, 50968, 52788, 50871, 79018, 51097, 67004, 51050, 71508, 51412, 50423, 50968, 52580, 50931, 55544, 50951, 52718, 50999, 56391, 50951, 52985, 50999, 56711, 51081, 50838, 54197, 51962, 50328, 58187, 51062, 57937, 50637, 51062, 68861, 50637, 50444, 50637, 51339, 57060, 50636, 50450, 50636, 51062, 70184, 50636, 50456, 50636, 51220, 56517, 50636, 67004, 50997, 51962, 50326, 55126, 51081, 53591, 50999, 52580, 50951, 55544, 51081, 52718, 50637, 50997, 52363, 50326, 68861, 50637, 50444, 50637, 51081, 54043, 50636, 50999, 52989, 50636, 50951, 70184, 50636, 50456, 50636, 51081, 56517, 50636, 67004, 51050, 77244, 55126, 51147, 52688, 51050, 52104, 50325, 55544, 51026, 52216, 50326, 52718, 51176, 52104, 50327, 56391, 51027, 52216, 50328, 52985, 50997, 52104, 50329, 56711, 51027, 52216, 50328, 50838, 54197, 51481, 50931, 51412, 55961, 75741, 50968, 52580, 51050, 75598, 55544, 50871, 74337, 52718, 51050, 52104, 50325, 56391, 50871, 74337, 52985, 51050, 52104, 50325, 56711, 50871, 52216, 50326, 50838, 54197, 51481, 51062, 50995, 55961, 55752, 51050, 52104, 50328, 51097, 58783, 55659, 50637, 51050, 52104, 50328, 68861, 50637, 50444, 50636, 50871, 52216, 50333, 57060, 50636, 50450, 50636, 51050, 52104, 50328, 70184, 50636, 50456, 50636, 50871, 52216, 50327, 56517, 50636, 55435, 51481, 51081, 67943, 50637, 62143, 52216, 50326, 53591, 50999, 52580, 50997, 72895, 55544, 50906, 52216, 50326, 52718, 50997, 52104, 50326, 56391, 50906, 52216, 50326, 54043, 50999, 52989, 50997, 72895, 56711, 50906, 52216, 50326, 50838, 54197, 51481, 50999, 55126, 50871, 52216, 50324, 52688, 51050, 52104, 50325, 55544, 50871, 52216, 50326, 52718, 50637, 51050, 52104, 50325, 68861, 50637, 50444, 50637, 50871, 74337, 57060, 50636, 50450, 50636, 51050, 75598, 78252, 50636, 50456, 50636, 50871, 67273, 50636, 67004, 51081, 50822, 50997, 51412, 50416, 51062, 73616, 51081, 51481, 50423, 51050, 52580, 51315, 55544, 51050, 52718, 50637, 51081, 50874, 50997, 51534, 50440, 51062, 55608, 50637, 50443, 51081, 51481, 50444, 50637, 50447, 50636, 51050, 52989, 50636, 51315, 70184, 50636, 50456, 50636, 51050, 56517, 50636, 67004, 50900, 77406, 60726, 51085, 53591, 51120, 52580, 51315, 58519, 51197, 52739, 51315, 53720, 51050, 52788, 50637, 51026, 58666, 50637, 51378, 53086, 50636, 51026, 54043, 50636, 51027, 52989, 50636, 50997, 59835, 50636, 51027, 53176, 50636, 51146, 75280, 57110, 57127, 51430, 56551, 50636, 60906, 50460, 51146, 50864, 54197, 51481, 50417, 50637, 55961, 52216, 50333, 52688, 51050, 52104, 50328, 55544, 50871, 52216, 50326, 52718, 50999, 51764, 50297, 51079, 50439, 51081, 57917, 50999, 61285, 51081, 53114, 50871, 71106, 50951, 52989, 51050, 75598, 68987, 50871, 74056, 51074, 56807, 50822, 51026, 51412, 50416, 61111, 50419, 50951, 51481, 50423, 51120, 52580, 51360, 55544, 51120, 52718, 63302, 51026, 51534, 50440, 61111, 50443, 50951, 51481, 50447, 51120, 52989, 51360, 59111, 51120, 51074, 59733, 51609, 50297, 51481, 50416, 51146, 62016, 51062, 54202, 50871, 52216, 50333, 52688, 51050, 52104, 50328, 55544, 50871, 52216, 50326, 52718, 50999, 51764, 50297, 51079, 50440, 51081, 64524, 50999, 54394, 50871, 74337, 52985, 51050, 75598, 56711, 50871, 74056, 50838, 54955, 58794, 71946, 50995, 53523, 50874, 50876, 58519, 60906, 50876, 52739, 61335, 50902, 53720, 61022, 50968, 52788, 50871, 79018, 51097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 37903, 9, 5175, 930, 19, 10, 2933, 8, 15352, 30054, 6711, 6, 4246, 10, 38668, 483, 6, 21072, 6, 8, 31391, 1672, 9590, 6, 278, 11, 5, 762, 9, 230, 3694, 19, 10, 20889, 9, 10529, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 52696, 50823, 58154, 52466, 77928, 51065, 50925, 50418, 53512, 68173, 58154, 50993, 54613, 50427, 52696, 54179, 54205, 50993, 50903, 77928, 50440, 52696, 51805, 50925, 50445, 54097, 50993, 50903, 50925, 50449, 54613, 50454, 52696, 56250, 52174, 55311, 77928, 53069, 52696, 50993, 50903, 77928, 50428, 52174, 53547, 58191, 54097, 67660, 50925, 50436, 52696, 50823, 58154, 52466, 77928, 51065, 78013, 53512, 50993, 50445, 58154, 55311, 77928, 50450, 52696, 60111, 54205, 50993, 50903, 77928, 51601, 52696, 51805, 50925, 50419, 54097, 50993, 50424, 54613, 50428, 52696, 54179, 52174, 55311, 77928, 50441, 52696, 50993, 50903, 77928, 50450, 52174, 53547, 50925, 50454, 54097, 67660, 66376, 52696, 50823, 58154, 52466, 77928, 51065, 50925, 51601, 53512, 50993, 50419, 58154, 50993, 54613, 50424, 52696, 65759, 54205, 50993, 50903, 77928, 50437, 52696, 51805, 50925, 50442, 54097, 50993, 50903, 62604, 54613, 50450, 52696, 64776, 52174, 55311, 77928, 51601, 52696, 50993, 50903, 77928, 51039, 50925, 50424, 52174, 51805, 50855, 62579, 58511, 54097, 67660, 79939, 52696, 50823, 58154, 52466, 77928, 51065, 72538, 53512, 50993, 50442, 58154, 50993, 54613, 50446, 52696, 66054, 54205, 50993, 50903, 77928, 50459, 52696, 51805, 50925, 51809, 54097, 50993, 50903, 50925, 51039, 50925, 50425, 52696, 58814, 52174, 55311, 77928, 50438, 52696, 50993, 50903, 77928, 50447, 52174, 52466, 55702, 50925, 50449, 50798, 63653, 54097, 52466, 62421, 50925, 50453, 50798, 50855, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 5679, 26709, 8, 19448, 3495, 2214, 19, 10, 19834, 16464, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 3459, 9590, 6, 8, 6168, 3540, 4, 20, 2125, 16, 11, 381, 538, 6, 34, 10, 132, 73, 306, 86, 6543, 6, 8, 11498, 10, 2635, 1614, 1073, 1020, 20889, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 10431, 119, 6, 163, 6, 381, 6, 2060, 119, 406, 6, 8, 274, 10431, 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 ]	[ 51057, 50623, 51038, 51057, 51279, 52222, 51027, 52151, 56440, 58800, 64651, 53466, 50916, 57669, 63681, 54729, 50916, 51290, 50877, 51566, 51028, 51454, 51038, 56440, 58800, 57981, 52483, 50916, 58696, 63412, 55214, 50916, 58696, 63681, 62960, 51315, 50800, 51057, 51279, 76188, 51027, 52392, 56440, 57669, 62036, 54851, 50916, 58696, 63681, 54729, 50916, 51073, 64460, 51028, 51290, 51038, 56440, 57669, 72454, 52483, 50916, 65274, 63412, 55214, 50916, 57442, 52362, 50317, 50911, 51057, 51279, 52222, 51027, 52151, 56440, 58800, 64651, 53466, 50916, 57669, 63681, 54729, 50916, 51290, 50877, 51566, 51028, 51454, 51038, 56440, 58800, 57981, 52483, 50916, 58696, 63412, 55214, 50916, 58696, 63681, 50893, 51057, 51279, 51655, 56440, 57669, 62036, 54851, 50916, 58696, 63681, 54729, 50916, 51073, 64460, 51028, 51290, 75040, 51196, 56440, 57669, 72454, 52483, 50916, 65274, 63412, 55214, 50916, 57442, 52362, 50317, 50911, 50433, 56090, 51417, 50435, 55243, 51413, 50436, 52806, 51295, 50437, 52435, 51318, 51660, 51218, 73567, 59389, 65631, 51458, 50289, 51318, 51027, 51295, 51069, 67481, 51440, 51091, 56440, 57069, 65631, 55035, 50916, 58800, 62036, 62554, 52882, 62627, 52614, 52559, 51279, 59487, 56876, 57981, 66900, 53958, 50808, 51057, 51360, 50805, 51086, 59487, 63328, 50805, 52759, 50918, 51228, 51336, 51660, 51191, 51929, 51351, 52745, 51419, 56922, 51134, 50656, 50281, 51134, 53958, 51033, 50419, 55330, 60413, 51086, 59316, 53770, 51086, 62430, 59316, 51644, 50293, 51159, 50430, 53314, 58466, 50916, 66454, 52882, 62903, 52806, 50981, 50437, 67347, 51477, 52435, 51267, 56194, 51477, 51057, 51040, 71274, 58800, 51519, 50298, 51109, 51966, 51218, 51213, 51077, 51944, 51056, 50415, 51440, 51159, 53839, 50924, 50418, 52882, 54402, 51040, 71274, 57069, 50974, 50421, 54568, 51542, 61104, 64813, 57254, 53387, 51378, 51519, 50305, 66199, 57669, 50845, 51929, 55486, 51360, 50833, 51440, 50887, 51057, 51086, 61679, 56962, 51519, 50296, 51073, 51019, 51077, 51808, 51073, 51660, 50893, 51929, 51286, 50656, 50284, 54994, 51086, 59487, 63328, 52483, 50916, 60037, 58654, 51442, 50284, 51290, 51660, 51055, 52745, 51048, 55243, 51056, 50432, 51315, 57341, 52370, 50312, 58692, 75672, 50911, 51057, 51279, 63254, 56876, 63681, 50879, 51011, 51291, 51440, 51141, 50415, 52435, 51241, 51660, 51204, 56090, 51127, 52806, 51127, 56440, 59573, 51027, 51073, 56248, 58696, 72454, 66094, 52882, 54937, 50916, 50849, 52614, 56966, 51279, 50805, 53958, 50821, 51057, 51360, 79541, 61027, 56962, 50805, 51228, 51077, 51660, 51204, 51929, 51204, 52745, 51025, 56922, 69355, 53958, 51014, 50419, 55330, 55180, 51086, 57572, 52759, 50849, 53314, 58798, 51360, 70167, 63254, 70021, 50879, 50656, 50281, 50846, 52745, 62763, 52882, 50955, 50431, 53839, 51562, 50432, 51086, 63363, 51360, 50893, 51057, 51086, 75962, 52370, 50310, 51936, 50286, 51496, 51213, 51518, 67347, 50943, 52435, 50943, 51944, 50914, 51808, 53561, 51378, 54851, 51378, 52370, 50303, 51936, 50305, 51936, 50310, 50806, 56194, 50918, 50430, 51944, 52726, 51378, 67449, 51808, 64917, 69630, 50879, 51057, 51378, 64823, 51936, 50305, 51936, 50310, 51442, 50286, 51290, 51773, 50896, 51944, 51167, 52435, 51060, 67347, 51267, 50420, 51378, 54851, 51378, 52362, 50284, 64689, 51454, 51040, 51454, 73066, 51019, 50889, 52435, 51048, 51944, 50807, 51660, 50807, 55243, 51159, 50427, 50656, 50284, 51056, 50432, 51315, 51442, 50298, 50893, 51057, 51799, 51936, 50301, 59537, 62838, 50893, 50927, 51077, 51944, 51111, 51614, 50873, 53722, 51141, 56945, 50805, 51440, 52437, 51027, 58548, 52370, 50310, 50806, 51120, 51290, 51669, 51021, 51440, 50924, 51614, 77554, 53839, 54440, 51027, 50805, 53335, 50962, 52614, 57836, 53958, 50930, 51057, 51040, 60424, 56876, 78418, 51048, 51069, 51103, 56090, 50889, 51440, 50952, 52361, 51158, 52043, 51192, 50415, 53958, 50882, 50419, 55330, 53113, 51040, 50879, 51440, 54316, 55330, 51215, 57025, 75319, 57341, 57442, 50806, 50427, 52806, 50839, 51660, 50917, 51440, 50830, 52361, 57647, 51040, 50849, 52882, 75339, 52494, 50967, 51057, 51315, 51519, 50303, 56931, 70021, 51936, 50284, 51566, 51019, 50918, 51929, 50795, 51808, 50805, 50656, 50284, 50914, 51660, 61195, 51086, 50805, 51660, 55946, 53958, 55447, 51315, 50805, 51086, 58548, 58956, 50879, 51929, 51014, 53958, 65001, 55243, 58854, 52494, 58466, 51315, 51568, 50303, 50849, 51808, 51138, 50434, 54568, 51381, 75040, 51936, 50305, 51936, 50310, 58956, 52216, 50286, 51290, 50877, 51551, 51213, 51159, 51440, 51158, 52435, 51100, 51944, 51111, 56194, 51290, 61683, 54433, 51378, 56346, 51040, 53194, 50284, 51483, 51027, 51055, 50989, 51073, 51019, 51157, 51440, 51016, 51660, 51048, 52435, 51157, 55243, 69133, 51040, 75828, 51841, 50950, 64690, 50952, 50989, 69748, 51111, 51799, 51073, 50927, 51446, 51944, 50879, 51614, 50805, 53722, 50983, 54569, 50849, 51440, 52437, 51027, 61566, 62838, 73470, 51048, 51669, 50806, 51440, 50879, 51614, 77840, 53839, 54334, 50899, 50805, 53335, 50949, 52614, 55632, 75412, 53958, 50821, 51057, 51279, 75319, 59487, 56876, 75886, 78034, 51660, 51215, 51440, 50806, 52043, 50924, 52806, 51077, 53958, 50882, 50419, 55330, 54718, 50916, 71942, 51267, 52361, 69123, 55330, 51286, 61104, 61679, 56036, 61156, 51440, 51048, 51660, 51159, 56090, 51159, 50430, 52882, 59099, 50916, 60698, 52494, 50917, 51057, 51086, 58871, 56962, 51519, 50296, 51157, 51019, 51077, 55243, 51077, 51660, 50849, 51929, 50924, 51808, 51111, 50416, 53958, 51346, 54569, 79490, 51929, 53890, 51086, 58871, 50805, 51841, 51159, 51315, 63509, 50427, 51660, 50836, 53958, 72303, 52614, 54937, 50899, 60698, 55330, 65268, 53958, 50836, 51057, 51040, 64511, 64813, 57669, 50795, 52046, 50983, 51105, 51183, 51440, 50873, 51944, 50974, 72840, 51003, 52435, 51008, 52027, 78556, 52614, 51295, 61683, 50873, 52435, 53548, 51197, 58800, 50805, 51944, 56973, 55677, 52925, 50989, 50873, 69953, 63327, 61566, 57934, 51514, 50282, 51380, 50877, 51048, 50927, 51103, 73602, 51003, 51774, 50917, 51515, 50805, 51440, 51060, 53502, 50873, 51774, 56133, 51120, 53172, 50900, 51853, 50282, 59466, 51159, 51515, 50865, 53722, 50977, 56014, 60663, 51120, 50845, 79296, 53667, 51568, 50289, 51514, 50305, 64233, 56876, 50901, 51011, 50914, 51660, 50873, 56090, 50943, 51440, 51157, 52435, 67075, 52882, 54878, 51040, 73555, 52882, 62779, 53839, 52450, 50623, 50899, 51458, 50284, 51312, 51315, 51312, 51086, 51253, 71931, 51019, 78958, 51929, 51008, 51660, 50822, 55243, 51484, 52745, 50874, 50428, 52614, 50942, 58296, 70488, 53958, 51051, 50436, 55330, 51417, 50437, 56090, 51749, 51660, 51318, 51057, 50623, 51040, 63784, 51458, 50289, 51267, 50877, 51159, 51011, 51103, 51440, 51310, 52806, 51749, 50415, 52361, 51318, 50416, 52043, 51218, 61683, 58861, 50916, 52483, 51027, 65708, 50916, 65274, 52370, 50317, 50923, 51440, 50936, 52361, 51030, 51660, 54725, 51027, 51021, 50434, 51440, 50855, 51660, 54248, 50916, 50821, 50877, 50882, 51028, 50894, 52361, 59921, 51440, 51060, 51057, 50989, 58692, 51167, 50902, 51354, 51279, 51566, 70701, 51669, 50806, 51944, 52115, 50989, 54579, 50989, 58696, 51235, 50902, 51460, 68022, 51440, 50943, 51669, 50897, 51944, 50943, 57025, 51016, 51019, 51013, 63174, 63707 ]
[ 0, 4688, 20425, 8, 15352, 30054, 5175, 2214, 11, 274, 538, 6, 4246, 10, 2382, 3459, 8669, 483, 7513, 30, 3459, 9590, 6, 38668, 20535, 6, 8, 21072, 6, 19, 10, 33215, 16739, 9, 230, 119, 6, 274, 406, 6, 230, 401, 6, 230, 119, 6, 8, 272, 6, 278, 11, 10, 20902, 204, 73, 306, 86, 6543, 23, 41, 12447, 1001, 20889, 9, 23272, 13410, 228, 2289, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50796, 52354, 50942, 79301, 51061, 50901, 51023, 50845, 51092, 73753, 52071, 51530, 51894, 50798, 55182, 54995, 58382, 50945, 50977, 79301, 51061, 50905, 51023, 50974, 51092, 51212, 50816, 54090, 53948, 50933, 53357, 50854, 51061, 51008, 51023, 50959, 51092, 51008, 51118, 62285, 55296, 53742, 53783, 50945, 77931, 51008, 79301, 51061, 50866, 51092, 66610, 55234, 54995, 52863, 63635, 51023, 50827, 76006, 51092, 50955, 51118, 64946, 54200, 54870, 50857, 50799, 51281, 51111, 50420, 51061, 55035, 51092, 65135, 51193, 55306, 51281, 52815, 51061, 53562, 51281, 51923, 51061, 51945, 52354, 50942, 79301, 51092, 50987, 51061, 50901, 51023, 54035, 55182, 54995, 58382, 50945, 50977, 79301, 51061, 50905, 51023, 50974, 51092, 51212, 50816, 54090, 53948, 50933, 53357, 50854, 51061, 51008, 51023, 50959, 51092, 51008, 51118, 62285, 55296, 53742, 53783, 50945, 77931, 51008, 79301, 51061, 50866, 51092, 66610, 55234, 54995, 52863, 63635, 51023, 50827, 76006, 51092, 50955, 51118, 64946, 54200, 54870, 50857, 52591, 52947, 50978, 51341, 51253, 50426, 52947, 55544, 52047, 50987, 51118, 56480, 52947, 50978, 51341, 66610, 50834, 53525, 52875, 52947, 50974, 51118, 50972, 60309, 53996, 52947, 50978, 51341, 66610, 53211, 52804, 50809, 52047, 50978, 51341, 51481, 50816, 50867, 50799, 52253, 51016, 50945, 51391, 51616, 51534, 51061, 52056, 51616, 51391, 50832, 52223, 56935, 50959, 51921, 51297, 51039, 52132, 50971, 52111, 61288, 52685, 50893, 52159, 51242, 51341, 51481, 51023, 51753, 51341, 51542, 51061, 51679, 50816, 50857, 56147, 50941, 51999, 58255, 54072, 50806, 51069, 51006, 51282, 67484, 50941, 53673, 52224, 61389, 52685, 51238, 50964, 51109, 51118, 51051, 51061, 78904, 57515, 51589, 50912, 52260, 60226, 51023, 50851, 51092, 50822, 51118, 51058, 59208, 57515, 50827, 52283, 60258, 52685, 50980, 50927, 59870, 51376, 51083, 50974, 51341, 51484, 51061, 51380, 50816, 50857, 55829, 50907, 52145, 60550, 50964, 51008, 79301, 53781, 56630, 50822, 52215, 51297, 50799, 52804, 51013, 50945, 51134, 51616, 50978, 51118, 51199, 51092, 51253, 50832, 56240, 51589, 50827, 51921, 59338, 51616, 51174, 61224, 50971, 52111, 61288, 54072, 50879, 51341, 50907, 52159, 50905, 51023, 51074, 51023, 52063, 51341, 57691, 53739, 50941, 52066, 51999, 58255, 52804, 50795, 51069, 51058, 51282, 50978, 51341, 52482, 51092, 51218, 50832, 50941, 53673, 52224, 61389, 54072, 51033, 50964, 51109, 51118, 51051, 51118, 51051, 51061, 63819, 50867, 61224, 50971, 52260, 60226, 54072, 50896, 51118, 51058, 51341, 51309, 51118, 51480, 63998, 54870, 50971, 52283, 51297, 57703, 50901, 51083, 78011, 51697, 51023, 51884, 50816, 50857, 61224, 50907, 52145, 60550, 52804, 51290, 50964, 50959, 51118, 51174, 54164, 56630, 50822, 52215, 51297, 52354, 51391, 51616, 51534, 50832, 52223, 56935, 50959, 51921, 59338, 51616, 51111, 51061, 51481, 53781, 50971, 52111, 61288, 52159, 50849, 52159, 51242, 51341, 51481, 51281, 51242, 51023, 51753, 50816, 50857, 56147, 50941, 51999, 58255, 51069, 51006, 51193, 51376, 51282, 50974, 51557, 59561, 50941, 53673, 52224, 51297, 56107, 51109, 51118, 51051, 51061, 51432, 51092, 51380, 51118, 72363, 57515, 51589, 50912, 52260, 60226, 51118, 51058, 59208, 57515, 50827, 52283, 51297, 57703, 74786, 51008, 51023, 51376, 51061, 51056, 51530, 57691, 50857, 55829, 50907, 52145, 60550, 50964, 51008, 79301, 53781, 56630, 50822, 52215, 51297, 52354, 51134, 51118, 51157, 51616, 50995, 51092, 51108, 50832, 56240, 51589, 50827, 51921, 51297, 51039, 55785, 50971, 52111, 61288, 51341, 50907, 52159, 50905, 52159, 51111, 51281, 51481, 51023, 52063, 50816, 53739, 50941, 52066, 51999, 58255, 51069, 51058, 51282, 50978, 51341, 52482, 51616, 51204, 51061, 52256, 50832, 50941, 53673, 52224, 51297, 56107, 51109, 51118, 51051, 51061, 63819, 50867, 61224, 50971, 52260, 60226, 51118, 62977, 51833, 54870, 50971, 52283, 51297, 57703, 50901, 51083, 78011, 51697, 51023, 51884, 50816, 50857, 61224, 50907, 52145, 60550, 53367, 50865, 50964, 50959, 51118, 51174, 54164, 56630, 50822, 52215, 51297, 50799, 52804, 50859, 50945, 51391, 51616, 51008, 51118, 51542, 50832, 52223, 56935, 50959, 51921, 59338, 52804, 50879, 51616, 51051, 53781, 50971, 52111, 61288, 54072, 50806, 52159, 51242, 51341, 51481, 51023, 51753, 51341, 51542, 51061, 51679, 50816, 50857, 56147, 50941, 51999, 58255, 52804, 50879, 51069, 51006, 51282, 67484, 50941, 53673, 52224, 61389, 54072, 51238, 50964, 51109, 51118, 51051, 51061, 78904, 57515, 51589, 50912, 52260, 60226, 51023, 50851, 51092, 50822, 51118, 51058, 59208, 57515, 50827, 52283, 60258, 52685, 50893, 50927, 59870, 51376, 51083, 50974, 51341, 51484, 51061, 51380, 50816, 50857, 55829, 50907, 52145, 60550, 54072, 50893, 50964, 51008, 79301, 53781, 56630, 50822, 52215, 51297, 50799, 52253, 50936, 50945, 51134, 51616, 50978, 51118, 51199, 51092, 51253, 50832, 56240, 51589, 50827, 51921, 59338, 52253, 50936, 51616, 51006, 61224, 50971, 52111, 61288, 52253, 50940, 51341, 50907, 52159, 50905, 51023, 51074, 51023, 52063, 51341, 57691, 53739, 50941, 52066, 51999, 58255, 52253, 50879, 51069, 51058, 51282, 50978, 51341, 52482, 51092, 51218, 50832, 50941, 53673, 52224, 61389, 52685, 50938, 50964, 51109, 51118, 51051, 51118, 51051, 51061, 63819, 50867, 61224, 50971, 52260, 60226, 54072, 50807, 51118, 51058, 51341, 51309, 51118, 51480, 63998, 54870, 50971, 52283, 51297, 57703, 50901, 51083, 78011, 51697, 51023, 51884, 50816, 50857, 61224, 50907, 52145, 60550, 52804, 50991, 50964, 50959, 51118, 51174, 54164, 56630, 50822, 52215, 51297, 52354, 51391, 51616, 51534, 50832, 52223, 56935, 50959, 51921, 59338, 51616, 51111, 51061, 51481, 53781, 50971, 52111, 61288, 52159, 50849, 52159, 51242, 51341, 51481, 51281, 51242, 51023, 51753, 50816, 50857, 56147, 50941, 51999, 58255, 51069, 51006, 51193, 51376, 51282, 50974, 51557, 59561, 50941, 53673, 52224, 51297, 56107, 51109, 51118, 51051, 51061, 51432, 51092, 51380, 51118, 72363, 57515, 51589, 50912, 52260, 60226, 51118, 51058, 59208, 57515, 50827, 52283, 51297, 57703, 74786, 51008, 51023, 51376, 51061, 51056, 51530, 57691, 50857, 55829, 50907, 52145, 60550, 50964, 51008, 79301, 53781, 56630, 50822, 52215, 51297, 52354, 51134, 51118, 51157, 51616, 50995, 51092, 51108, 50832, 56240, 51589, 50827, 51921, 51297, 51039, 55785, 50971, 52111, 61288, 51341, 50907, 52159, 50905, 52159, 51111, 51281, 51481, 51023, 52063, 50816, 53739, 50941, 52066, 51999, 58255, 51069, 51058, 51282, 50978, 51341, 52482, 51616, 51204, 51061, 52256, 50832, 50941, 53673, 52224, 51297, 56107, 51109, 51118, 51051, 51061, 63819, 50867, 61224, 50971, 52260, 60226, 51118, 62977, 51833, 54870, 50971, 52283, 51297, 57703, 50901, 51083, 78011, 51697, 51023, 51884, 51281, 51043, 50816, 50857, 61224, 50907, 52145, 60550, 54072, 68152, 50959, 51118, 51174, 54164, 56630, 50822, 52215, 51297, 50799, 52685, 51238, 51096, 51109, 53707, 51058, 51616, 50987, 51557, 51423, 50832, 52223, 56935, 50959, 51921, 59338, 53707, 51006, 51616, 50987, 53781, 50971, 52111, 61288, 52685, 78647, 51267, 51401, 51058, 51557, 51058, 54322, 51242, 51061, 51481, 51193, 51753, 50816, 50857, 56147, 50941, 51999, 58255, 54072, 50948, 51763, 67484, 50941, 53673, 52224, 61389, 52685, 51073, 50945, 51400, 51616, 51051, 51616, 50878 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 25771, 2214, 4246, 41, 1076, 560, 31365, 25999, 816, 5, 483, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 13305, 6, 8, 38668, 11212, 6, 19, 21072, 1976, 5, 41063, 15796, 4811, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 27841, 139, 20889, 6, 2351, 41, 14816, 5709, 227, 5, 2635, 6, 15352, 30054, 6711, 8, 5, 1769, 12, 20764, 12989, 6, 150, 5, 33215, 16739, 9, 1918, 6, 230, 119, 1176, 406, 6, 8, 272, 3639, 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 ]	[ 50799, 50643, 57528, 50791, 50949, 51544, 50835, 51570, 52725, 51956, 50461, 51410, 51293, 51669, 51151, 67718, 51445, 51303, 51293, 52043, 51293, 52327, 51151, 52807, 51293, 52430, 51671, 55815, 51243, 51895, 50919, 57392, 51249, 79634, 52235, 57821, 53405, 56176, 57831, 53796, 53522, 58574, 53727, 57821, 52680, 54953, 56185, 50907, 52008, 50429, 53727, 57821, 60286, 50920, 54075, 56176, 57162, 53461, 73716, 52235, 59171, 53833, 55942, 52694, 54203, 56176, 59171, 51139, 55454, 56755, 53727, 57821, 53384, 56185, 57162, 53461, 55712, 56377, 53727, 57821, 52680, 53421, 56176, 50907, 51983, 50453, 52235, 57821, 60202, 50920, 54616, 56176, 50984, 67960, 60078, 56185, 50370, 53183, 54119, 52300, 56772, 51476, 51313, 51410, 51445, 51669, 51313, 67718, 51313, 51231, 51313, 51607, 51313, 52043, 51313, 52137, 51671, 54307, 51671, 51895, 51985, 53237, 57392, 52257, 51313, 50417, 51992, 57821, 53405, 53085, 58923, 53796, 55335, 58574, 53727, 50368, 51163, 53522, 54953, 56185, 50984, 52008, 50429, 53727, 64930, 62618, 50920, 54075, 53085, 51123, 67960, 73716, 51992, 59171, 53434, 55454, 52694, 54203, 53085, 59547, 51130, 54493, 55788, 53727, 64930, 53325, 56185, 57162, 53461, 55712, 56377, 53727, 64930, 52707, 53421, 53085, 50984, 52008, 50453, 51992, 57821, 65693, 57297, 50920, 54616, 53085, 50984, 54958, 51985, 52703, 60078, 53727, 68376, 65486, 52703, 56772, 51410, 51445, 51669, 51445, 53447, 51353, 51465, 51313, 51303, 51445, 52043, 51445, 52327, 51313, 52807, 51293, 61406, 51449, 59060, 51449, 57677, 51671, 57541, 51671, 52453, 55454, 50863, 51667, 62192, 51249, 51293, 51667, 60770, 52235, 57821, 53420, 56176, 54419, 53796, 53461, 51004, 51652, 65992, 51652, 54080, 53727, 57821, 52707, 51129, 51667, 51073, 50424, 51667, 72265, 56185, 50907, 52622, 50429, 53727, 57821, 60286, 50920, 54075, 56176, 50907, 67960, 73716, 52235, 59547, 53434, 55942, 52680, 51004, 51652, 66766, 51652, 51724, 56176, 59547, 51130, 55942, 50837, 51667, 66326, 51667, 61772, 53727, 64930, 53325, 56185, 50984, 67960, 55712, 50928, 52135, 59070, 52135, 54672, 53727, 57821, 52680, 50982, 51643, 50807, 50448, 51643, 55082, 56176, 62265, 51187, 60491, 52235, 57821, 60202, 50920, 54616, 56176, 57162, 53461, 60078, 56185, 64698, 67744, 52755, 50891, 51667, 59342, 51667, 62923, 51410, 52151, 51476, 51313, 51669, 51313, 54309, 51151, 51465, 51313, 51231, 51313, 51607, 51293, 52043, 51293, 65854, 51671, 61406, 51671, 59060, 51449, 58065, 51671, 51992, 51432, 53358, 55454, 50863, 51652, 50938, 50415, 52257, 51313, 51652, 50917, 53440, 53405, 53727, 58923, 53796, 53461, 51004, 51667, 60721, 51667, 53184, 56185, 64930, 52707, 51129, 52376, 51896, 50424, 52376, 74612, 53727, 50984, 52008, 50429, 53085, 57821, 62618, 50920, 54075, 51992, 50984, 67960, 73716, 53085, 63907, 53833, 55454, 52694, 54203, 53727, 57064, 51130, 55942, 55788, 56185, 64930, 53594, 53727, 50907, 67960, 55712, 56377, 53085, 57821, 52680, 53421, 51992, 62265, 51044, 61362, 53085, 50368, 51163, 60535, 50920, 54616, 53727, 51000, 68807, 60078, 56185, 64698, 52300, 56772, 51410, 51293, 51669, 51313, 53447, 51151, 51465, 52151, 51303, 51151, 52043, 51151, 52327, 51445, 52807, 51293, 61406, 51449, 59060, 51449, 57677, 51449, 57541, 51671, 53358, 55942, 50870, 51667, 68381, 51249, 51313, 51667, 66147, 52235, 61005, 53738, 56176, 54419, 53796, 54463, 51004, 51652, 73888, 51652, 52296, 53727, 61005, 53522, 51129, 51667, 79818, 51667, 52483, 56185, 50984, 51983, 50429, 53727, 57821, 50870, 52135, 50879, 50430, 70540, 52135, 51736, 56176, 50984, 67960, 73716, 52235, 59171, 53434, 55454, 52680, 51004, 51643, 50807, 50436, 51643, 53912, 56176, 57064, 51392, 55454, 55788, 53727, 57821, 53594, 56185, 55918, 53461, 55712, 56377, 53727, 57821, 52707, 50982, 52135, 71977, 52135, 51757, 56176, 55875, 51187, 50908, 51643, 72982, 51643, 55000, 52235, 64930, 60202, 50920, 54616, 56176, 50907, 67960, 51004, 51633, 61393, 51633, 62355, 56185, 61551, 67744, 52703, 56772, 51476, 51313, 51410, 51293, 51669, 51445, 54309, 51353, 51465, 51313, 51231, 51151, 51607, 51313, 52043, 51313, 65854, 51671, 61406, 51671, 59060, 51671, 58065, 51748, 51992, 51074, 53358, 55454, 50837, 52113, 68381, 52257, 51293, 52113, 50849, 53440, 53738, 53727, 58923, 53796, 54463, 51004, 52372, 65992, 52372, 54080, 56185, 57821, 52707, 51129, 53128, 51095, 50424, 53128, 63963, 53727, 50984, 52622, 50429, 53085, 57821, 61938, 50920, 54075, 51992, 50907, 67960, 51258, 52113, 68484, 52113, 53263, 53085, 59171, 53833, 55942, 52694, 51004, 52372, 51116, 50436, 52372, 78583, 53727, 59547, 51130, 54493, 56432, 56185, 61005, 53325, 53727, 57162, 53461, 55712, 50928, 53128, 65804, 53128, 55932, 53085, 64930, 52680, 53421, 51992, 56444, 51187, 60491, 53085, 57821, 62476, 50920, 54616, 53727, 50941, 67960, 60078, 56185, 60349, 52373, 56772, 51410, 51445, 51669, 51313, 53447, 51151, 51303, 51293, 51465, 51293, 52043, 51313, 52327, 51293, 52807, 51293, 61406, 51671, 59060, 51671, 57677, 51748, 57541, 51671, 53358, 55454, 50863, 51667, 50879, 50415, 51249, 51313, 51667, 55728, 52235, 50368, 51163, 53420, 56176, 66048, 53796, 54463, 51004, 51652, 73888, 51652, 52296, 53727, 64930, 52707, 51129, 51667, 51048, 50424, 51667, 72265, 56185, 50984, 52622, 50429, 53727, 64930, 60286, 50920, 54075, 56176, 50984, 67960, 73716, 52235, 59547, 53816, 55454, 52680, 51004, 51652, 63116, 51652, 52841, 56176, 59171, 51392, 55454, 50837, 51667, 79610, 51667, 60132, 53727, 64930, 53594, 56185, 50984, 68807, 55712, 50928, 52135, 59070, 52135, 53668, 53727, 64930, 52680, 50982, 51643, 50807, 50448, 51643, 55082, 56176, 62265, 51187, 60491, 52235, 57821, 60535, 50920, 54616, 56176, 55918, 53461, 60078, 56185, 60349, 65279, 52790, 50891, 51667, 64333, 51667, 60091, 51410, 51313, 51476, 51293, 51669, 51313, 54309, 51151, 51465, 51313, 51231, 51293, 51607, 51313, 52043, 51445, 65854, 51449, 61406, 51671, 59060, 51449, 58065, 51671, 51992, 51074, 52321, 55942, 50863, 51652, 76586, 52257, 51313, 51652, 50938, 53440, 53738, 53727, 66048, 53796, 54463, 51004, 51667, 65992, 51667, 54080, 56185, 61005, 52680, 51129, 52376, 51623, 50424, 52376, 51591, 50426, 53727, 50907, 52008, 50429, 53085, 64930, 62618, 50920, 54075, 51992, 55918, 55335, 73716, 53085, 59171, 53434, 55454, 52680, 54203, 53727, 59171, 51139, 55454, 55788, 56185, 64930, 53594, 53727, 55918, 53461, 55712, 56377, 53085, 64930, 52680, 53421, 51992, 75070, 51044, 61362, 53085, 64930, 60202, 50920, 54616, 53727, 51000, 67960, 60078, 56185, 64698, 52300, 56772, 51410, 51293, 51669, 51293, 53447, 51293, 51465, 51293, 51303, 51445, 52043, 51293, 52327, 51293, 52807, 51151, 61406, 51449, 59060, 51449, 57677, 51449, 57541, 51449, 52321, 55942, 50837, 51667, 50879, 50415, 51249, 52151, 51667, 60770, 52235, 61005, 53738, 56176, 58923, 53796, 55335, 51004, 51652, 73888, 51652, 52296, 53727, 64930, 53522, 51129, 51667, 50805, 50424, 51667, 53466, 56185, 51123, 52622, 50429, 53727, 64930, 50870, 52135, 50879, 50430, 70540, 52135, 52605, 56176, 50907, 67960, 73716, 52235, 63907, 53434, 55942, 52680, 51004, 51643, 50807, 50436, 51643, 55965, 56176, 59171, 51392, 55454, 55788, 53727, 64930, 53594, 56185, 57162, 53461, 55712, 56377, 53727, 57821, 52680, 50982 ]
[ 0, 250, 8787, 3495, 2125, 11, 272, 538, 6, 42, 15352, 30054, 15229, 7630, 6568, 6453, 9, 657, 8, 26545, 149, 63, 13305, 12, 9756, 9804, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 24, 30853, 23, 10, 16634, 6, 8728, 2877, 6, 4246, 10, 33215, 13931, 9, 3676, 6, 163, 119, 6, 1918, 6, 211, 406, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50415, 51085, 55085, 51026, 51051, 50425, 50876, 50904, 53523, 50959, 50968, 59545, 50916, 51174, 50436, 50968, 51884, 50861, 53130, 50323, 51178, 50441, 50916, 71715, 50968, 51391, 50861, 51376, 50448, 51062, 63433, 50916, 54026, 50951, 51517, 50292, 53010, 50460, 51430, 51709, 52177, 51026, 51254, 50422, 51062, 52434, 50320, 58753, 51174, 50428, 50916, 54071, 50433, 50902, 61665, 51111, 50951, 65503, 54088, 59419, 52731, 50445, 50968, 76553, 51142, 50861, 58363, 50937, 50451, 51026, 53137, 50900, 51221, 50457, 51085, 51177, 50876, 51286, 54955, 51008, 50419, 50861, 69245, 72891, 67829, 50916, 51470, 50429, 67030, 50430, 65313, 60300, 60299, 50431, 51062, 57869, 50916, 57014, 50902, 53275, 50311, 58813, 51173, 51086, 70636, 51324, 59248, 50900, 51481, 50877, 51060, 72917, 51027, 78721, 55149, 51279, 52731, 50454, 51315, 78970, 57002, 51027, 74623, 68677, 50890, 51809, 50900, 51481, 50422, 50916, 77882, 60147, 50968, 58000, 53535, 50328, 51387, 50428, 50877, 57959, 50902, 52014, 50325, 53318, 50299, 52415, 50304, 50940, 51146, 51138, 50437, 68899, 50442, 50968, 51101, 51050, 51101, 50999, 51006, 50443, 51062, 51588, 50332, 50830, 50448, 70093, 50452, 50900, 73612, 51134, 50968, 51362, 50453, 50999, 51573, 51062, 51091, 50457, 50916, 50866, 50461, 67514, 52478, 61412, 50422, 51062, 50859, 50999, 50894, 74230, 50968, 80038, 50910, 50427, 51027, 59476, 50861, 54342, 50973, 51568, 50287, 51101, 50902, 60693, 79271, 51120, 51051, 50442, 51026, 51051, 64542, 50443, 51220, 67168, 51086, 51101, 50453, 50899, 59977, 50318, 51642, 50454, 51146, 51178, 50459, 50871, 51174, 51809, 50968, 51333, 50418, 51430, 51199, 50861, 54887, 50423, 50973, 68564, 51062, 53177, 50292, 59099, 51026, 64520, 50900, 62780, 50938, 50439, 70584, 50968, 50921, 50443, 50951, 55380, 50861, 53668, 51062, 73623, 56086, 51146, 52035, 50303, 70105, 50923, 50455, 51324, 50962, 50460, 50999, 51911, 50328, 51911, 50289, 52363, 50301, 52169, 50320, 60559, 51419, 52177, 51315, 64987, 51027, 50959, 77095, 62050, 50877, 51965, 50433, 50876, 51295, 50916, 53130, 50320, 51294, 50437, 50900, 50974, 50443, 50916, 50977, 50448, 50900, 75969, 68454, 51214, 50977, 50454, 50951, 73246, 51120, 50874, 54955, 51764, 50327, 71423, 51086, 68655, 51146, 51388, 50421, 60501, 50424, 60192, 50427, 51487, 51235, 50428, 50973, 50894, 50431, 50902, 54125, 51339, 51167, 50973, 53813, 61700, 50442, 70835, 51146, 51460, 50445, 60501, 50449, 51086, 54086, 51220, 51427, 50454, 51026, 51824, 50458, 51120, 50878, 50951, 51162, 58066, 54448, 51085, 52363, 50328, 51124, 50424, 51026, 57250, 50900, 73612, 51191, 50433, 61412, 50437, 51062, 51110, 50861, 50978, 50442, 67946, 50445, 51146, 50936, 50446, 51086, 50942, 50902, 51798, 57660, 50455, 51027, 51172, 50968, 51411, 51062, 52996, 50460, 50916, 51862, 51809, 50999, 51110, 50876, 67252, 51824, 56440, 65553, 56143, 50968, 51014, 64566, 50428, 50916, 52749, 51146, 51936, 50299, 64469, 52362, 50325, 78422, 64566, 50441, 51050, 52098, 50332, 51911, 50325, 51178, 50968, 51253, 50445, 51027, 50866, 50449, 50900, 58229, 50916, 74238, 51062, 51806, 50877, 77082, 51534, 50999, 51124, 52177, 50876, 69647, 64645, 50999, 73724, 50977, 56248, 55477, 51062, 54154, 51214, 50940, 50951, 53318, 50315, 50924, 50436, 51120, 65833, 51026, 70686, 51220, 78438, 50962, 50443, 51086, 79856, 77555, 51146, 50936, 50449, 50931, 75409, 61522, 50459, 51430, 59408, 50959, 50951, 50977, 51601, 50973, 67553, 51220, 51588, 50335, 50917, 50421, 51430, 67795, 50897, 79386, 50425, 51026, 54889, 50900, 52810, 51146, 57659, 64410, 50931, 61170, 58893, 50437, 51062, 51710, 50320, 51014, 50951, 51014, 50440, 50876, 53114, 51220, 53275, 50330, 51033, 50951, 51014, 50902, 52035, 50303, 59981, 51324, 69008, 50968, 68968, 51194, 51279, 73797, 67763, 51027, 50933, 50457, 51315, 51008, 50460, 50876, 61527, 50925, 51027, 50904, 51809, 70223, 50999, 53932, 50999, 64729, 51062, 64607, 50833, 50876, 70197, 60743, 56756, 50902, 52717, 50330, 61347, 67597, 50968, 75676, 50894, 51062, 50821, 51430, 50950, 56014, 79163, 50894, 51339, 79612, 51220, 51455, 50332, 51167, 50437, 51487, 51095, 51315, 52434, 50323, 51111, 50441, 51026, 53103, 51086, 50844, 51220, 51121, 50445, 50951, 50865, 50448, 50916, 64732, 51430, 51158, 50951, 51110, 62958, 50457, 50973, 51051, 50461, 51220, 50959, 51487, 50878, 54594, 79604, 50916, 56818, 51220, 52415, 50299, 66700, 51146, 50897, 53117, 50878, 51339, 50942, 53337, 70258, 50871, 50813, 51814, 75676, 58322, 62958, 51487, 61930, 63038, 79623, 51220, 51158, 51146, 51160, 50443, 73754, 50448, 63475, 51339, 51710, 50327, 64213, 67763, 50861, 57534, 50968, 51775, 50459, 51085, 52363, 50332, 50991, 51601, 79083, 50419, 74094, 51062, 73963, 50916, 72739, 50951, 51204, 59663, 50430, 50916, 63125, 50861, 51058, 59419, 64480, 51086, 51173, 50902, 51354, 50445, 50899, 61841, 50951, 51014, 68929, 50452, 50899, 66851, 50950, 50455, 51220, 59349, 51086, 56388, 51062, 59022, 51026, 50818, 62529, 51033, 50415, 51120, 72746, 51220, 50962, 50422, 51279, 50830, 51062, 51388, 50425, 51315, 75322, 51027, 63269, 51286, 50431, 50900, 53720, 64001, 50968, 51175, 55203, 77376, 63830, 61022, 68121, 54004, 51315, 51314, 51026, 51412, 50973, 51309, 50454, 51086, 74981, 50968, 50897, 50916, 51142, 50461, 51086, 51058, 56807, 69392, 76605, 50916, 69647, 51086, 52415, 50327, 58798, 76605, 50916, 72435, 51086, 51142, 50951, 50948, 50434, 51120, 77244, 51167, 63809, 70430, 50931, 51235, 50899, 62565, 63006, 50451, 61133, 50902, 58325, 50871, 74445, 50877, 67738, 51142, 57956, 51809, 50900, 66423, 50938, 63714, 51242, 50973, 51203, 51214, 57629, 51120, 78336, 51026, 50912, 56437, 50871, 63136, 51086, 51058, 50441, 50902, 52015, 50899, 52192, 50443, 51146, 50918, 50447, 50871, 51058, 75312, 50974, 50460, 50973, 50825, 53069, 51062, 51043, 51085, 50978, 50424, 51026, 51000, 50427, 50968, 51100, 50900, 57531, 64385, 50433, 56437, 50951, 51173, 50436, 59855, 50439, 51062, 51173, 50440, 60569, 50442, 50916, 50854, 68121, 50942, 51430, 51388, 50449, 50916, 79519, 51062, 51060, 50997, 54424, 50916, 54991, 51026, 50854, 50951, 51175, 51601, 50900, 66179, 51315, 50854, 50968, 54007, 57127, 78312, 52370, 50285, 58812, 51085, 59890, 51027, 64189, 51012, 50437, 50900, 68167, 66457, 50877, 51173, 77025, 58638, 51027, 61547, 50967, 50449, 51050, 55007, 50973, 51100, 51214, 62474, 51120, 52134, 50460, 50899, 51604, 50299, 50867, 51809, 51086, 63667, 54569, 55584, 50902, 51481, 50421, 50951, 51242, 64309, 72464, 51220, 50901, 50428, 50999, 55104, 51062, 52559, 51220, 72355, 52262, 51247, 50808, 50999, 53194, 50321, 58818, 51085, 61173, 75111, 51027, 71808, 61189, 50900, 69300, 50871, 65673, 51339, 77698, 75593, 63602, 50900, 54900, 73057, 51027, 54678, 51050, 58077, 50999, 51045, 51809, 51197, 50925, 50951, 50921, 51026, 78217, 50997, 54878, 61700, 50422, 50956, 56133, 50906, 53939, 51001, 62053, 63432, 50906, 66084, 50951, 58877, 51001, 52059, 50435, 51081, 51014, 50440, 51405, 50940, 50951, 67235, 51247, 57722, 50830, 50877, 71236, 50931, 50894, 50454, 51085, 62223, 51027, 69688, 50894, 50951, 57308, 50900, 50867, 56229, 79594, 71610, 62282, 67431, 58172, 50900, 53066, 50999, 51014, 51062, 50940, 74230, 69593, 51027 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 21979, 8669, 6, 21072, 6, 31391, 1672, 9590, 6, 8, 33704, 5675, 22052, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 9, 10572, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 83, 6, 272, 6, 211, 6, 83, 6, 8, 272, 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 ]	[ 67004, 53366, 50795, 68946, 64227, 73201, 51137, 51364, 52553, 53576, 52176, 50795, 68946, 64227, 51429, 51370, 52870, 51869, 50795, 68946, 64227, 51429, 57172, 51253, 55347, 56670, 76322, 50935, 69558, 53483, 50807, 78261, 51494, 50807, 78582, 69436, 52553, 53116, 51181, 51364, 52553, 53041, 52176, 50807, 78261, 51494, 50807, 78582, 63350, 50946, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 51964, 50918, 51280, 50807, 51232, 50807, 51099, 52221, 75484, 54309, 51364, 52553, 53576, 51280, 50983, 51232, 50983, 51099, 50983, 64612, 67591, 55347, 56670, 50909, 51109, 51149, 69558, 52176, 70286, 50924, 52553, 53116, 52176, 50918, 78261, 51494, 50807, 78582, 51181, 51364, 52553, 72796, 53083, 78261, 51494, 50807, 51119, 55541, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 52553, 50841, 71803, 50795, 68946, 64227, 73201, 51137, 51364, 52553, 53576, 52176, 50795, 68946, 64227, 51429, 51370, 52870, 51869, 50795, 68946, 64227, 51429, 57172, 51253, 55347, 56670, 76322, 50935, 69558, 53483, 50807, 78261, 51494, 50807, 78582, 69436, 52553, 53116, 51181, 51364, 52553, 53041, 52176, 50807, 78261, 51494, 50807, 78582, 63350, 50946, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 51964, 50918, 51280, 50807, 51232, 50807, 51099, 52221, 75484, 54309, 51364, 52553, 53576, 51280, 50983, 51232, 50983, 51099, 50983, 64612, 67591, 55347, 56670, 50909, 51109, 51149, 69558, 52176, 70286, 50924, 52553, 53116, 52176, 50918, 51198, 50918, 51494, 50918, 51119, 50918, 51181, 51364, 52553, 72796, 53083, 65336, 55347, 56688, 51007, 51109, 51840, 77948, 52553, 50841, 71803, 50795, 51429, 50983, 51275, 50983, 51137, 51364, 51565, 51428, 51041, 53576, 52176, 50795, 51565, 51370, 52870, 51869, 50795, 51565, 57172, 51253, 55347, 56670, 76322, 50935, 69558, 53483, 50807, 51119, 50918, 51275, 50918, 52070, 50918, 69436, 52083, 52221, 51041, 53116, 51181, 51364, 52553, 53041, 52176, 50807, 51596, 51370, 53083, 51596, 54572, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 51964, 50918, 51099, 50983, 51153, 50983, 51275, 50983, 51596, 52221, 75484, 54309, 51364, 52553, 53576, 51789, 51370, 52870, 51099, 78922, 51489, 50807, 51789, 55278, 51253, 55347, 56670, 50909, 51109, 51149, 69558, 51964, 70286, 50924, 52553, 53116, 52176, 50918, 51099, 50983, 51153, 50983, 51489, 50983, 51338, 51364, 51789, 52221, 51041, 72796, 53083, 67591, 55347, 56688, 50909, 51109, 51149, 77948, 61565, 51596, 51428, 75484, 71803, 50795, 51429, 50983, 51275, 50983, 51137, 51364, 51565, 51428, 51041, 53576, 52176, 50795, 51565, 51370, 52870, 51869, 50795, 51565, 57172, 51253, 55347, 56670, 76322, 50935, 69558, 53483, 50807, 51119, 50918, 51275, 50918, 52070, 50918, 69436, 52083, 52221, 51041, 53116, 51181, 51364, 52553, 53041, 52176, 50807, 51789, 51370, 53083, 51596, 53006, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 51964, 50918, 51099, 50983, 51153, 50983, 51275, 50983, 51596, 50983, 52553, 50841, 54309, 51364, 52553, 62456, 52870, 51099, 78922, 51489, 50807, 51789, 50918, 67591, 55347, 56670, 50909, 51109, 51149, 69558, 51964, 70286, 50924, 52553, 53116, 52176, 50918, 51099, 50983, 51153, 50983, 51489, 50983, 51338, 51364, 52553, 72796, 53083, 67591, 55347, 56688, 50909, 51109, 51149, 77948, 61565, 51596, 51428, 75484, 71803, 50795, 51429, 50983, 51275, 50983, 51137, 51364, 51565, 51428, 51041, 53576, 52176, 50795, 51565, 51370, 52870, 51869, 50795, 51565, 57172, 51253, 55347, 56670, 76322, 50935, 69558, 53483, 50807, 51119, 50918, 51275, 50918, 52070, 50918, 69436, 52083, 52221, 51041, 53116, 51181, 51364, 52553, 53041, 52176, 50807, 51789, 51370, 53083, 51596, 54572, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 51964, 50918, 51099, 50983, 51153, 50983, 51275, 50983, 51596, 52221, 75484, 54309, 51364, 52553, 53576, 51789, 51370, 52870, 51099, 78922, 51489, 50807, 51789, 55278, 51253, 55347, 56670, 50909, 51109, 51149, 69558, 51964, 70286, 50924, 52553, 53116, 52176, 50918, 51099, 50983, 51153, 50983, 51489, 50983, 51338, 51364, 51789, 52221, 51041, 72796, 53083, 52182, 55990, 51253, 55347, 56688, 50909, 51109, 51149, 77948, 61565, 52182, 51428, 75484, 71803, 50795, 51429, 50983, 51275, 50983, 51137, 51364, 51565, 51428, 51041, 53576, 52176, 50795, 51565, 51370, 52870, 51869, 50795, 51565, 56378, 51253, 55347, 56670, 76322, 50935, 69558, 53483, 50807, 51119, 50918, 51275, 50918, 52070, 50918, 69436, 52553, 53116, 51181, 51364, 52083, 51428, 78361, 52176, 50807, 51789, 51370, 53083, 51596, 53006, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 51964, 50918, 51099, 50983, 51153, 50983, 51275, 50983, 51596, 50983, 52553, 50841, 54309, 51364, 52553, 62456, 52870, 51099, 51358, 51153, 51358, 51489, 51358, 51789, 50918, 67591, 55347, 56670, 50909, 51109, 51149, 69558, 51964, 70286, 50924, 52553, 53116, 51964, 50983, 51338, 51364, 52553, 72796, 53083, 67591, 55347, 56688, 50909, 51109, 51149, 77948, 51964, 50807, 51280, 50807, 51494, 50807, 51099, 52221, 75484, 54309, 51364, 54933, 53829, 51964, 50807, 51280, 50807, 51232, 50807, 51099, 52959, 53150, 79605, 55347, 57982, 50909, 51056, 51149, 51157, 50432, 51280, 50807, 51494, 50807, 71269, 51338, 54762, 50884, 54683, 50924, 52902, 57560, 53114, 51280, 50807, 51232, 50807, 71269, 51137, 50822, 50847, 57511, 60545, 70863, 53528, 51349, 64817, 52743, 51137, 56566, 58649, 51056, 51149, 51157, 51289, 54085, 51289, 53217, 64227, 51137, 50845, 52182, 55990, 67614, 54026, 51289, 50825, 50799, 58001, 50918, 51099, 50983, 51429, 50983, 51516, 50983, 51374, 51343, 51565, 55990, 51359, 58091, 53983, 51041, 55927, 58091, 53728, 52083, 58190, 51056, 58091, 51589, 54477, 58091, 52921, 51789, 50795, 51149, 51141, 58091, 61319, 51041, 55739, 58091, 53193, 51099, 50918, 51429, 50918, 51489, 50918, 51374, 50948, 51789, 72523, 51218, 58091, 53835, 51041, 54665, 58091, 52691, 58001, 50918, 51374, 51343, 51439, 51446, 58091, 53835, 51041, 55384, 58091, 53743, 52083, 50795, 51149, 51157, 58091, 51589, 54926, 58091, 53140, 51565, 58190, 50943, 58091, 61319, 51041, 55647, 58091, 53820, 51119, 50918, 51777, 50918, 51516, 50918, 51565, 50807, 51149, 50805, 58091, 53835, 51041, 54814, 58091, 50822, 50799, 56686, 50918, 51349, 51343, 51017, 51359, 55846, 53983, 51041, 55927, 55846, 53728, 52083, 55990, 51056, 55846, 51589, 54477, 55846, 52921, 51789, 53006, 51141, 55846, 61319, 51041, 55739, 55846, 53193, 51119, 50918, 51777, 50918, 51489, 50918, 51349, 50948, 51789, 55278, 51218, 55846, 53835, 51041, 54665, 55846, 52691, 56686, 50918, 51349, 51343, 51125, 51446, 55846, 53835, 51041, 55384, 55846, 53743, 51789, 53006, 51157, 55846, 51589, 54926, 55846, 53140, 52083, 55990, 50943, 55846, 61319, 51041, 55647, 55846, 53820, 51153, 50918, 51489, 50918, 51516, 50918, 51565, 55541, 50805, 55846, 53835, 51041, 54814, 55846, 50822, 58637, 50918, 51416, 51343, 50868, 51359, 55045, 53983, 51041, 55927, 55045, 53728, 51565, 55990, 51056, 55045, 51589, 54477, 55045, 52921, 51565, 59192, 51141, 55045, 61319, 51041, 55739, 55045, 53193, 51153, 50918, 51489, 50918, 51516, 50918, 51416, 50948, 51565, 55278, 51218, 55045, 53835, 51041, 54665, 55045, 52691, 51964, 50918, 51416, 51343, 51149, 51446, 55045, 53835, 51041, 55384, 55045, 53743, 52083, 59192, 51157, 55045, 51589, 54926 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 10, 19834, 16464, 6, 4246, 41, 21979, 8669, 4, 85, 18, 11, 155, 73, 306, 86, 6543, 8, 34, 10, 7212, 20889, 9, 5663, 741, 1685, 4, 20, 2214, 16, 11, 5, 762, 9, 163, 428, 3694, 8, 24536, 10, 33215, 16739, 9, 12608, 119, 6, 2060, 406, 6, 8, 230, 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, 0, 0, 0, 0 ]	[ 80054, 51018, 51018, 80054, 50931, 51189, 51257, 51364, 51131, 50874, 51131, 50866, 51273, 51486, 50801, 51803, 50417, 50960, 55869, 66805, 69999, 50970, 66700, 50947, 54325, 51131, 50827, 51131, 50977, 78672, 50903, 50862, 52558, 50429, 50960, 55100, 50968, 77179, 64667, 63232, 50970, 73187, 50947, 54793, 50902, 67276, 50879, 51131, 50827, 51131, 67820, 50903, 52873, 58545, 50960, 54947, 75022, 56696, 66805, 63232, 50970, 50978, 50447, 63183, 51034, 50906, 51364, 50939, 51364, 51207, 50874, 51207, 67820, 51098, 51538, 50801, 51452, 50417, 51246, 55869, 70748, 51246, 50987, 50960, 66700, 50929, 54325, 51207, 73169, 50977, 69311, 50903, 52873, 57050, 51246, 55100, 50876, 59092, 50805, 62212, 51246, 50978, 63232, 50435, 50929, 54793, 50902, 63650, 50805, 51207, 73169, 50866, 63124, 69390, 59138, 51246, 54947, 50931, 50795, 68395, 70748, 51246, 50978, 63232, 50447, 68236, 51034, 50968, 50983, 51149, 50983, 51207, 50874, 51207, 50866, 63124, 51461, 51538, 50801, 51790, 50417, 51246, 55869, 64268, 51246, 50987, 50986, 66700, 50998, 54325, 51207, 73169, 50977, 74245, 77452, 57860, 51246, 55100, 50902, 71899, 50893, 62459, 51246, 50978, 50986, 73187, 50998, 54793, 50876, 62289, 50893, 51207, 73169, 50866, 68583, 60375, 59356, 51246, 54947, 50906, 62507, 50879, 64268, 51246, 50978, 50986, 50978, 50447, 63045, 51034, 50877, 51358, 50850, 51358, 51504, 50874, 51504, 50866, 68583, 51140, 65501, 51452, 50417, 51131, 55869, 64268, 51131, 50987, 50986, 66700, 50970, 54325, 51504, 50827, 51504, 50977, 70850, 77452, 58519, 51131, 55100, 62459, 51131, 50978, 50986, 73187, 50970, 54793, 51504, 50827, 51504, 50866, 65899, 51560, 67638, 50862, 52558, 50441, 51131, 54947, 64268, 51131, 50978, 50986, 50978, 50447, 51136, 50912, 51034, 50902, 51364, 51007, 51364, 51246, 50874, 51246, 50866, 51136, 50866, 52157, 51538, 50801, 51452, 50417, 50960, 55869, 66805, 69999, 50970, 66700, 51064, 54325, 51246, 50827, 51246, 50977, 51064, 50977, 59193, 57860, 50960, 55100, 50876, 62289, 50893, 64667, 63232, 50970, 73187, 51064, 54793, 50906, 55599, 50795, 51246, 50827, 51246, 50866, 68424, 50903, 53340, 59356, 50960, 54947, 50877, 56263, 50879, 66805, 63232, 50970, 50978, 50447, 72318, 51034, 74367, 50847, 51141, 51207, 50874, 51207, 50866, 68424, 51098, 51538, 50801, 51742, 50417, 51246, 55869, 70748, 51246, 50987, 50960, 66700, 50929, 54325, 51207, 73169, 50977, 69311, 50903, 53340, 57860, 51246, 55100, 50877, 56678, 50805, 62212, 51246, 50978, 63232, 50435, 50929, 54793, 50906, 50938, 71536, 51207, 73169, 50866, 63124, 50903, 53340, 59356, 51246, 54947, 50902, 60613, 70748, 51246, 50978, 63232, 50447, 68236, 51034, 51028, 51141, 51125, 51141, 51131, 50874, 51131, 50866, 63124, 51216, 51538, 50801, 51742, 50417, 51317, 55869, 59664, 51317, 50987, 50998, 66700, 50929, 54325, 51131, 50827, 51131, 50977, 69311, 50903, 50862, 51892, 50429, 51317, 55100, 50906, 62507, 50879, 57573, 51317, 50978, 50998, 73187, 50929, 54793, 50877, 54716, 51131, 50827, 51131, 50866, 63124, 50903, 50855, 52558, 50441, 51317, 54947, 50861, 55914, 59664, 51317, 50978, 50998, 50978, 50447, 68236, 71213, 51336, 50872, 51336, 51131, 50874, 51131, 50866, 63124, 51273, 65501, 51790, 50417, 50960, 55869, 66805, 69999, 50970, 66700, 50947, 54325, 51131, 50827, 51131, 50977, 78672, 77452, 56789, 50960, 55100, 64667, 63232, 50970, 73187, 50947, 54793, 50989, 51013, 50944, 51013, 66253, 51078, 67820, 51461, 67638, 53340, 59356, 50960, 54947, 64268, 50986, 50978, 63232, 50447, 51131, 50912, 76898, 56625, 50879, 51246, 50874, 51131, 50866, 51246, 71922, 51538, 50801, 51790, 50417, 50960, 55869, 50902, 67276, 50879, 67325, 69999, 50929, 66700, 51064, 54325, 50902, 51977, 51007, 51977, 51207, 73169, 50977, 51064, 50977, 50903, 53340, 57860, 51246, 55100, 62212, 51246, 50978, 63232, 50435, 50929, 54793, 51207, 73169, 50866, 63124, 50903, 52873, 59356, 51246, 54947, 70748, 51246, 50978, 63232, 50447, 68236, 51034, 51574, 50874, 51574, 50866, 63124, 51461, 51538, 50801, 51452, 50417, 51207, 55869, 51246, 50822, 51246, 50987, 51207, 62149, 50986, 54325, 50931, 51016, 51257, 51016, 51207, 73169, 50942, 63896, 50903, 52217, 59399, 51246, 55100, 62459, 50986, 50959, 51246, 73187, 50998, 54793, 50968, 50807, 51149, 50807, 51207, 73169, 50866, 68583, 64892, 56714, 51246, 54947, 64268, 51246, 50978, 50986, 50978, 50447, 63045, 78031, 54527, 50909, 54527, 51504, 50874, 51504, 50866, 68583, 51140, 51538, 50801, 51742, 50417, 51131, 55869, 64268, 51131, 50987, 50986, 66700, 50970, 54325, 51504, 50827, 51504, 50977, 70850, 69122, 57250, 51131, 55100, 62459, 51131, 50978, 50986, 73187, 50970, 54793, 51504, 50827, 51504, 50866, 65899, 69390, 58545, 51131, 54947, 64268, 50986, 50978, 51131, 61554, 68860, 80056, 50874, 51131, 50878, 60918, 51140, 51538, 50801, 51452, 50417, 50986, 55869, 66805, 50970, 50955, 50986, 62149, 50947, 54325, 67395, 50986, 50942, 58993, 50903, 53340, 57250, 50970, 55100, 58985, 50947, 50959, 50970, 60282, 51032, 54793, 50916, 55787, 50807, 62891, 76337, 60265, 64892, 56714, 50947, 54947, 75423, 51032, 50959, 50947, 50978, 50447, 51438, 50912, 71213, 58521, 50879, 51207, 50874, 51207, 50866, 51438, 71922, 51538, 50801, 51452, 50417, 51246, 55869, 50906, 55599, 50795, 70748, 51246, 50987, 50960, 66700, 50929, 54325, 50906, 51896, 50939, 51896, 51207, 73169, 50977, 69311, 50903, 52873, 57860, 51246, 55100, 62212, 51246, 50978, 63232, 50435, 50929, 54793, 51207, 73169, 50866, 63124, 69122, 59356, 51246, 54947, 70748, 63232, 51246, 61554, 68236, 51034, 51246, 50874, 51246, 50878, 63124, 51461, 51538, 50801, 51742, 50417, 50986, 55869, 59664, 70437, 50998, 66700, 50929, 54325, 50902, 51016, 51007, 51016, 51246, 50827, 51246, 50977, 69311, 50903, 52873, 58519, 50986, 55100, 57573, 50986, 50978, 50998, 73187, 50929, 54793, 50876, 51016, 72985, 51246, 50827, 51246, 50866, 63124, 50903, 50862, 52558, 50441, 50986, 54947, 59664, 50986, 50978, 50998, 50978, 50447, 68236, 51034, 50906, 50896, 50939, 51013, 51504, 50874, 51504, 50866, 63124, 52157, 57130, 51452, 50417, 51246, 55869, 51317, 50822, 51246, 50987, 51317, 66700, 50970, 54325, 50877, 53898, 50850, 52382, 51131, 50827, 50970, 50942, 51131, 50977, 51140, 51077, 50903, 53111, 58519, 50986, 55100, 64667, 50970, 50959, 50986, 73187, 50947, 54793, 51504, 50827, 51504, 67820, 69390, 59138, 51131, 54947, 64268, 51131, 50978, 50986, 50978, 50447, 68860, 51034, 51574, 50874, 51574, 50866, 65899, 51493, 65501, 51452, 50417, 51207, 55869, 66315, 51207, 50955, 51311, 66700, 50998, 54325, 51207, 73169, 50977, 60419, 50903, 50862, 51892, 50429, 51311, 55100, 57573, 50998, 50959, 51311, 73187, 50929, 54793, 51131, 50827, 51131, 50866, 63124, 51216, 67638, 52675, 58545, 51317, 54947, 59664, 51317, 50978, 50998, 50978, 50447, 68236, 51034, 50931, 51274, 51257, 51364, 58985, 50929, 67820, 51273, 51538, 52487, 51318, 50801, 51790, 50417, 50970, 55869, 70748, 69999, 50970, 66700, 51131, 54325, 62458, 51131, 50977, 78672, 50903, 53340, 57860, 50970, 55100, 50968, 50806, 51149, 50806, 62212, 63232, 50970, 50978, 51926, 60282, 51131, 54793, 50902, 51972, 50318, 50911, 62458, 51131, 67820, 51690, 50866, 69390, 59138, 68860, 50443, 51733, 73971, 50876, 68185, 50911, 70748 ]
[ 0, 250, 765, 6, 1372, 3495, 2214, 19, 15855, 16882, 6, 4246, 17691, 28430, 6, 13305, 6, 8, 1021, 5901, 1243, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 231, 73, 398, 86, 6543, 6, 24, 11498, 10, 38451, 3938, 20889, 4, 20, 15229, 7630, 6568, 6453, 9, 657, 8, 9884, 6, 2351, 10, 19448, 5466, 10686, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50628, 50474, 52186, 77979, 74701, 55677, 50807, 51540, 52186, 50918, 65829, 50918, 51687, 50918, 55677, 56039, 51784, 77979, 74701, 55677, 52728, 51784, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 52173, 77979, 50807, 52303, 50807, 55677, 50807, 51540, 52173, 51161, 65829, 51161, 52303, 51161, 55677, 77481, 51784, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 52278, 77979, 50807, 52303, 50807, 55677, 50807, 51540, 52186, 50918, 65829, 50918, 51687, 50918, 55677, 56039, 52186, 77979, 74701, 55677, 52728, 51784, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 51784, 77979, 74701, 55677, 50807, 51540, 52278, 52382, 50730, 50307, 52382, 52303, 52382, 55677, 52382, 50474, 52186, 77979, 74701, 55677, 50807, 51540, 51950, 50918, 65621, 50918, 51231, 50918, 52027, 56039, 51950, 55405, 50314, 50807, 71217, 52027, 52728, 51950, 50918, 74489, 50918, 51231, 50918, 51614, 77747, 51802, 55405, 50315, 50807, 71217, 51614, 50807, 51540, 52173, 51161, 58202, 51161, 51231, 51161, 51774, 77481, 51784, 50918, 65829, 50918, 51687, 50918, 51774, 77747, 51900, 77979, 70977, 51774, 50807, 51540, 52173, 50918, 63514, 50918, 51303, 50918, 53369, 56039, 52173, 55405, 50313, 70977, 53369, 52728, 51802, 50918, 63514, 50918, 51687, 50918, 53369, 77747, 51950, 55405, 50313, 74701, 53369, 50807, 51540, 51802, 52382, 70826, 52382, 51410, 52382, 52557, 52382, 50474, 52186, 78295, 79364, 50807, 52557, 50807, 51540, 52186, 50918, 65829, 50918, 51687, 50918, 55677, 56039, 51784, 77979, 74701, 55677, 52728, 51784, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 52173, 77979, 50807, 52303, 50807, 55677, 50807, 51540, 52173, 51161, 65829, 51161, 52303, 51161, 55677, 77481, 51784, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 52278, 77979, 50807, 52303, 50807, 55677, 50807, 51540, 52186, 50918, 65829, 50918, 51687, 50918, 55677, 56039, 52186, 77979, 74701, 55677, 52728, 51784, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 51784, 77979, 74701, 55677, 50807, 51540, 52278, 52382, 50730, 50307, 52382, 52303, 52382, 55677, 52382, 50474, 52278, 55405, 50307, 50807, 52303, 50807, 55677, 50807, 51540, 52714, 50918, 50730, 50307, 50918, 52326, 50918, 53369, 56039, 52278, 55405, 50307, 50807, 52303, 50807, 53369, 52728, 52355, 50918, 68150, 50918, 51476, 50918, 53369, 77747, 52186, 55405, 50309, 79364, 50807, 53369, 50807, 51540, 51784, 78295, 74701, 53369, 52910, 51802, 50918, 70826, 50918, 51687, 50918, 53369, 56811, 51802, 50918, 70826, 50918, 51687, 50918, 53369, 77747, 52173, 78295, 50807, 71217, 53369, 50807, 51540, 51900, 51161, 63514, 51161, 51303, 51161, 53369, 77481, 51784, 51161, 63514, 51161, 51687, 51161, 53369, 51161, 51540, 52186, 52382, 65621, 52382, 51410, 52382, 52557, 52382, 50474, 52186, 55405, 50314, 50807, 51540, 51950, 52382, 65621, 52382, 50438, 51687, 50807, 55677, 52728, 51687, 50918, 55677, 77747, 52186, 55405, 50314, 50807, 51540, 51950, 52382, 65621, 56039, 58202, 74701, 55677, 52728, 50730, 50317, 50918, 51687, 50918, 55677, 77747, 51802, 55405, 50317, 74701, 52769, 50807, 51540, 52173, 50918, 58202, 50918, 51687, 50918, 54632, 56039, 52173, 55405, 50316, 74701, 54632, 52728, 51802, 78295, 50918, 51476, 50918, 54632, 50918, 50462, 52173, 59369, 51784, 78295, 74701, 54632, 50807, 51540, 52186, 52382, 65829, 52382, 51687, 52382, 55677, 52382, 50474, 52186, 77979, 74701, 55677, 50807, 51540, 52186, 50918, 65829, 50918, 51410, 50918, 52557, 56039, 52926, 55405, 50309, 79364, 50807, 52557, 52728, 52926, 50918, 68150, 50918, 51410, 50918, 52557, 77747, 51784, 78295, 79364, 50807, 52557, 50807, 51540, 51784, 50918, 70826, 50918, 51687, 50918, 55677, 56039, 52186, 77979, 74701, 55677, 52728, 52186, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 52173, 55405, 50314, 50807, 71217, 55677, 50807, 51540, 52173, 50918, 63514, 50918, 51303, 50918, 53369, 56039, 52173, 55405, 50313, 70977, 53369, 52728, 51784, 55405, 50313, 50918, 51303, 50918, 53369, 50918, 50462, 51900, 59369, 52173, 55405, 50313, 74701, 53369, 50807, 51540, 51802, 52382, 70826, 52382, 51410, 52382, 52557, 52382, 50474, 52186, 55405, 50314, 50807, 51540, 51950, 52382, 65621, 52382, 50438, 51687, 50807, 55677, 52728, 51687, 50918, 55677, 77747, 52186, 55405, 50314, 50807, 51540, 51950, 52382, 65621, 56039, 58202, 74701, 55677, 52728, 50730, 50317, 50918, 51687, 50918, 55677, 77747, 51802, 55405, 50317, 74701, 52769, 50807, 51540, 52173, 50918, 58202, 50918, 51651, 50918, 54632, 56039, 52173, 55405, 50316, 50807, 51651, 50807, 54632, 52728, 51802, 50918, 58202, 50918, 51687, 50918, 54632, 77747, 53101, 55405, 50316, 79260, 50807, 54632, 50807, 51540, 51950, 52382, 74489, 52382, 51410, 52382, 52769, 52382, 50474, 51950, 55405, 50315, 79364, 50807, 52769, 50807, 51540, 51950, 50918, 65621, 50918, 51465, 50918, 51774, 56039, 51950, 55405, 50314, 50807, 51465, 50807, 51774, 52728, 52933, 50918, 58202, 50918, 51465, 50918, 51774, 77747, 51950, 55405, 50314, 50807, 51465, 50807, 51774, 50807, 51540, 51950, 50918, 63514, 50918, 51303, 50918, 53369, 56039, 51802, 55405, 50313, 70977, 53369, 52728, 51784, 51036, 70826, 51036, 51303, 51036, 53369, 51036, 75196, 52173, 55405, 50316, 50807, 51719, 50807, 54632, 52424, 52624, 50918, 63104, 50918, 51231, 50918, 52557, 50918, 50462, 51950, 55405, 50314, 74701, 52557, 59369, 51802, 50918, 70826, 50918, 51410, 50918, 52557, 50918, 75196, 52173, 77979, 50807, 52303, 50807, 55677, 52424, 52173, 51492, 65829, 51492, 52303, 51492, 55677, 51492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 1769, 12, 20764, 5175, 2214, 11, 230, 538, 6, 4246, 41, 21979, 8669, 816, 10, 15352, 30054, 8, 17627, 17274, 4782, 4, 20, 1349, 34, 10, 2365, 8, 33558, 619, 6, 442, 24, 10686, 13, 304, 11, 10, 19834, 4, 20, 1049, 33215, 16739, 25935, 1626, 227, 274, 8, 230, 1328, 5, 2125, 6, 61, 16, 11, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50796, 50461, 50885, 51111, 51164, 51073, 51504, 51226, 50986, 51095, 52894, 55755, 52816, 51903, 63607, 50795, 50970, 51158, 50947, 51192, 55997, 50870, 52111, 60931, 50885, 50893, 50986, 70266, 51525, 54200, 54724, 52100, 50837, 51257, 65396, 50795, 51649, 62898, 51192, 50970, 51175, 50947, 51173, 53782, 51792, 50870, 51649, 50936, 51257, 51226, 51504, 50952, 52224, 57892, 51332, 50807, 51725, 51054, 54683, 50983, 71996, 63117, 50940, 57988, 51649, 51354, 50998, 51167, 50929, 51215, 67345, 68697, 71716, 52283, 53003, 51525, 54200, 54724, 52100, 64358, 50840, 51439, 51138, 59792, 68241, 50929, 54139, 50801, 59644, 78871, 51064, 51603, 50970, 75581, 51727, 50983, 55494, 51149, 50937, 51439, 51021, 74363, 52021, 51538, 50960, 51192, 53271, 51941, 51246, 51356, 52215, 50870, 51755, 52816, 51903, 50837, 51149, 51175, 51439, 51379, 55997, 60621, 61358, 50836, 72946, 51525, 54200, 54724, 52100, 67162, 50821, 59073, 51007, 51021, 51257, 51030, 50970, 51496, 51067, 68029, 51727, 60761, 52275, 50870, 51257, 51045, 69943, 51007, 50936, 51064, 51227, 50960, 51192, 52224, 50870, 51450, 51903, 50837, 51007, 51354, 51257, 51354, 50444, 51727, 51650, 51877, 60621, 73627, 50809, 50960, 50887, 52283, 60145, 51725, 51048, 50986, 77225, 51338, 50807, 51525, 54200, 54724, 52100, 50870, 50909, 50936, 51149, 78784, 51427, 78000, 50998, 51055, 50929, 51016, 50453, 50801, 52579, 55494, 51332, 57638, 51021, 51149, 50860, 52215, 57015, 51164, 51073, 51504, 51226, 50986, 50967, 52894, 55755, 52816, 51903, 63607, 58541, 51100, 50909, 51192, 51149, 51167, 50970, 51158, 50947, 51192, 55997, 50870, 52111, 60931, 50885, 50879, 50986, 70006, 51525, 54200, 54724, 52100, 74568, 65396, 65520, 62898, 51173, 50970, 51175, 50947, 51158, 53782, 51792, 50870, 50939, 50948, 51007, 50924, 51504, 50830, 52224, 57892, 51332, 50807, 51725, 51054, 54683, 50983, 71996, 63117, 50921, 64017, 50939, 51286, 51007, 51192, 50998, 51167, 50929, 51215, 67345, 51949, 62170, 51111, 50986, 50830, 52283, 53003, 51525, 54200, 54724, 52100, 64358, 58243, 50924, 50909, 50948, 68241, 50929, 58045, 50801, 59644, 78871, 51064, 51500, 50970, 51345, 50456, 51727, 50983, 55494, 50850, 50924, 50909, 72201, 51167, 52021, 51538, 50960, 51192, 53271, 51941, 51246, 51356, 52215, 50870, 51755, 52816, 51903, 63607, 51388, 50909, 51158, 55997, 60621, 50840, 72946, 51525, 54200, 54724, 52100, 67162, 64558, 50950, 64017, 50939, 51030, 50970, 51274, 51067, 54684, 51727, 60761, 52275, 50870, 60001, 62457, 69943, 71536, 51064, 51227, 50960, 51192, 52224, 50870, 51450, 51903, 74568, 51021, 50847, 55885, 51727, 51650, 51877, 60621, 73627, 61952, 62289, 50805, 50960, 50887, 52283, 60145, 51725, 51048, 50986, 69556, 51338, 50807, 51525, 54200, 54724, 52100, 62170, 51427, 78000, 50998, 51290, 50929, 51013, 50453, 50801, 52579, 55494, 51332, 62812, 51286, 50909, 51388, 52215, 57015, 51164, 51073, 51504, 51362, 50986, 51095, 52894, 55755, 52816, 51903, 63607, 58541, 51111, 50970, 51060, 50947, 51286, 55997, 50870, 72609, 50806, 52111, 60931, 50885, 50893, 50986, 64002, 51525, 54200, 54724, 52100, 64780, 56244, 60014, 59274, 51192, 50970, 51167, 50947, 51158, 53782, 51792, 50870, 51504, 50952, 52224, 57892, 51332, 50807, 51725, 51054, 54683, 50983, 71996, 63117, 50921, 57988, 50847, 51454, 50939, 51054, 50998, 51167, 50929, 51215, 67345, 51949, 62032, 51100, 71716, 52283, 53003, 51525, 54200, 54724, 52100, 64358, 63915, 50924, 50847, 50806, 68241, 50929, 58045, 50801, 59644, 78871, 51064, 51603, 50970, 51345, 50456, 51727, 50983, 55494, 57988, 50939, 50936, 50848, 51167, 52021, 51538, 50960, 51192, 53271, 51585, 51246, 51196, 52215, 50870, 51755, 52816, 51903, 64780, 62507, 52115, 63850, 50872, 56754, 64273, 51505, 72946, 51525, 54200, 54724, 52100, 67162, 71035, 50950, 50970, 51274, 51067, 68029, 51727, 60761, 52275, 60621, 50917, 78115, 58886, 51460, 51064, 51227, 50960, 51173, 52224, 50870, 51450, 51903, 53027, 51727, 51650, 51877, 60621, 72305, 61056, 51033, 50960, 50887, 52283, 60145, 51725, 51048, 50986, 77225, 51338, 50807, 51525, 54200, 54724, 52100, 50870, 51257, 51021, 51649, 51138, 50868, 51160, 50847, 51235, 50998, 51055, 50929, 51016, 50453, 50801, 52579, 55494, 51649, 50860, 51257, 50824, 52215, 57015, 50885, 51060, 51164, 51073, 51504, 51226, 50986, 50967, 52894, 55755, 52816, 51903, 63607, 54891, 51060, 51649, 51388, 50970, 51060, 50947, 51192, 55997, 50870, 52111, 60931, 50885, 50893, 50986, 64002, 51525, 54200, 54724, 52100, 63607, 51424, 50320, 50795, 51439, 62898, 51173, 50970, 51175, 50947, 51158, 53782, 51792, 50870, 51164, 68480, 50917, 51439, 50924, 51504, 50830, 52224, 57892, 51332, 50807, 51725, 51054, 54683, 50983, 71996, 63117, 50940, 64017, 51149, 51505, 51439, 51388, 50998, 51167, 50929, 51215, 67345, 51949, 62170, 51100, 79291, 52283, 53003, 51525, 54200, 54724, 52100, 64358, 59072, 50936, 51257, 50936, 68241, 50929, 58045, 50801, 59644, 50872, 51095, 51064, 51603, 50970, 75581, 51727, 50983, 55494, 51007, 50924, 51257, 50936, 74363, 50960, 51173, 53271, 51941, 51246, 51196, 52215, 50870, 51755, 52816, 51903, 50837, 51007, 51972, 50321, 50879, 55997, 60621, 61671, 50836, 72946, 51525, 54200, 54724, 52100, 67162, 50882, 59073, 56696, 51149, 50923, 50970, 51274, 51067, 68029, 51727, 60761, 52275, 50870, 65420, 51149, 75410, 51227, 50960, 51192, 52224, 50870, 51450, 51903, 50837, 50909, 51972, 50320, 55885, 51727, 51650, 51877, 60621, 72305, 50887, 72990, 52283, 60145, 51725, 51048, 50986, 77225, 51338, 50807, 52842, 50948, 51525, 54200, 54724, 52100, 50870, 50939, 71899, 56567, 51427, 50847, 51160, 50998, 51055, 50929, 51013, 50453, 50801, 52579, 52842, 50948, 55494, 51332, 50833, 68528, 51007, 50924, 52215, 57015, 51164, 51290, 51504, 51226, 50986, 50967, 52894, 55755, 52816, 51903, 63607, 54891, 51111, 50970, 51158, 50947, 51192, 50415, 52842, 77103, 52842, 50948, 55997, 50870, 52111, 60931, 52842, 78769, 50879, 50986, 64002, 51525, 54200, 54724, 52100, 67162, 51173, 50970, 51175, 50947, 51173, 50431, 52842, 50940, 53782, 51792, 50870, 51164, 50836, 51504, 75339, 52842, 62341, 57892, 51332, 50807, 51725, 51054, 54683, 50983, 71996, 63117, 50921, 64017, 50998, 51167, 50929, 51215, 67345, 51949, 62032, 51111, 79291, 52283, 53003, 51525, 54200, 54724, 52100, 64358, 50855, 68241, 50929, 58045, 50801, 59644, 50872, 51095, 51064, 51603, 50970, 51345, 50456, 51727, 50983, 52277, 50936, 55494, 50848, 51167, 52021, 51161, 50960, 51173, 53271, 51941, 51246, 51196, 52215, 50870, 51755, 52816, 51903, 57610, 52277, 61955, 52277, 50940, 63850, 52111, 60931, 52277, 58216, 51525, 54200, 54724, 52100, 67162, 50882, 59073, 50970, 51496, 51067, 66605, 52277, 57748, 51727, 60761, 52275, 50870, 51064, 51227, 50960, 51192, 50434, 52277, 50921, 52224, 50870, 51450, 51903, 53027, 51727, 51650, 51877, 60621, 50890, 50960, 50887, 52283, 60145, 51725, 51157, 50986, 77225, 51338, 50807, 51525, 54200, 54724, 52100, 62170, 51160, 78000, 50998, 51290, 50929, 51013, 50453, 50801, 52579, 55494, 52215, 57015, 51164, 51073, 51504, 51226, 50986, 50967, 52894, 50918, 52277, 60777, 52816, 51903, 62502, 51158, 50947, 51286, 50420, 52277, 50924, 63850, 52111, 60931, 50885, 50893, 50986, 70006, 52277, 50936, 51525, 54200 ]
[ 0, 250, 19834, 12, 13028, 3495, 2214, 14, 7630, 6568, 10, 25306, 8, 9066, 5466, 6, 4246, 10, 13305, 6, 20642, 2323, 6, 24896, 6, 6755, 12547, 6, 8, 3459, 9590, 4, 590, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 278, 11, 5, 762, 9, 163, 3694, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 272, 119, 1176, 406, 6, 12608, 6, 8, 3676, 3639, 7, 63, 17627, 17274, 8, 2365, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50445, 50691, 50303, 50812, 53122, 57465, 56984, 50897, 52064, 62990, 50691, 50303, 50836, 53122, 50813, 51809, 55353, 50897, 52130, 61958, 52304, 58745, 52558, 50428, 55353, 50897, 52130, 60332, 51049, 54748, 50808, 55703, 68167, 55353, 51178, 52130, 60397, 65891, 51889, 68787, 56673, 50833, 53058, 53632, 53330, 76690, 55353, 51178, 52130, 51175, 52068, 50458, 59541, 51121, 52994, 60665, 52675, 50904, 51809, 61558, 56554, 53884, 63261, 51049, 55352, 50808, 55703, 50827, 51572, 54207, 51889, 57012, 52521, 50855, 52142, 53690, 52304, 57186, 52521, 50855, 52142, 52633, 57651, 52521, 50862, 52142, 53690, 50840, 51892, 52177, 52521, 50901, 52142, 54523, 52304, 50836, 51510, 58594, 52521, 50977, 52142, 65678, 51049, 54748, 76576, 64100, 52521, 50942, 52142, 55043, 54840, 51889, 71480, 53122, 50977, 53020, 62977, 53340, 72145, 52682, 50854, 51951, 61481, 55353, 51177, 52130, 51121, 52068, 50460, 52682, 51255, 51951, 79890, 52675, 50904, 52478, 61558, 58304, 53884, 72958, 51049, 55352, 63116, 50791, 50827, 55820, 64681, 51889, 64457, 50691, 50303, 50812, 53122, 51730, 52304, 62564, 56984, 50897, 52064, 55744, 70039, 50691, 50303, 50836, 53122, 52784, 50840, 52558, 53069, 55353, 50866, 52130, 59872, 52304, 61057, 52558, 50431, 55353, 50845, 52130, 53757, 51049, 54748, 61055, 50791, 64101, 55353, 51101, 52130, 60257, 64661, 51889, 68168, 56673, 50813, 53058, 53630, 53340, 64833, 55353, 50813, 52130, 51421, 61145, 59541, 51363, 52994, 55568, 52675, 50904, 53069, 57125, 50813, 51544, 54854, 50816, 51049, 55352, 50808, 51570, 50827, 51180, 55590, 51889, 54208, 52521, 50857, 52142, 52259, 52304, 54232, 52521, 50857, 52142, 52304, 50854, 77435, 50857, 52142, 53579, 50840, 52558, 50420, 52521, 50892, 52142, 54523, 52189, 50812, 51544, 53860, 52521, 50844, 52142, 55508, 51049, 54101, 50808, 51570, 54758, 52521, 50905, 52142, 52808, 70832, 51889, 72860, 52682, 51242, 51951, 61525, 53340, 65267, 56673, 50867, 53058, 51421, 50813, 51601, 55353, 51412, 52130, 79890, 52675, 73122, 57125, 63567, 53884, 50433, 50816, 51049, 55352, 63038, 51133, 50808, 51327, 50959, 53171, 50925, 60423, 51177, 66680, 50938, 52470, 50445, 51415, 50808, 51672, 50878, 53927, 50833, 50706, 50315, 50833, 67002, 51582, 70832, 51889, 63653, 63283, 51414, 50866, 52287, 50938, 64575, 50901, 63626, 54523, 52304, 50864, 55779, 50854, 51809, 50953, 50942, 51231, 50978, 51981, 50942, 72062, 50977, 64517, 59083, 50840, 52558, 50419, 51213, 50942, 51719, 50933, 52948, 50933, 50706, 50310, 50810, 50706, 50322, 63980, 63676, 51465, 50845, 51818, 50873, 79354, 50873, 71407, 56426, 51363, 51206, 51233, 50428, 51992, 62743, 51992, 50897, 50440, 51992, 62928, 51992, 51100, 50458, 51992, 50942, 51809, 52235, 71876, 51992, 50942, 70802, 51981, 50836, 53927, 50855, 72062, 51177, 64517, 61958, 53597, 50586, 50844, 50428, 52678, 50892, 51213, 51095, 52948, 51121, 52287, 50901, 50706, 50310, 51095, 50706, 50322, 62187, 50901, 51769, 50977, 50441, 51971, 50889, 51019, 51235, 51818, 51111, 51981, 51177, 79354, 51363, 71407, 59554, 50897, 51769, 50897, 51647, 57187, 50852, 50855, 57731, 51019, 51110, 51465, 51592, 51231, 51445, 51672, 51445, 51818, 51313, 53541, 52727, 51615, 52829, 52033, 55856, 50798, 56522, 50854, 53764, 60155, 51992, 50878, 50436, 51992, 50878, 51415, 57468, 58162, 51559, 77376, 51992, 60162, 64698, 54758, 50816, 51297, 50448, 51992, 50925, 51271, 51060, 69290, 51559, 65002, 51817, 63477, 59301, 67205, 51992, 59756, 52873, 50844, 52478, 53399, 50942, 51019, 55071, 58043, 54202, 50816, 62589, 50816, 51000, 63741, 69156, 51992, 50833, 55917, 51476, 51445, 51231, 52071, 51327, 70153, 59343, 51559, 70134, 52133, 51748, 50430, 52678, 51194, 50843, 61284, 50953, 62187, 56022, 50844, 50442, 51971, 74256, 61800, 51133, 53769, 50937, 51892, 50454, 50843, 62495, 62709, 50844, 53069, 50953, 54690, 55630, 54475, 50816, 51128, 63741, 63521, 50816, 64462, 67910, 51410, 51199, 51249, 51312, 51457, 51267, 50706, 50306, 51112, 58260, 51227, 51615, 51258, 51656, 50864, 52332, 54923, 59756, 61692, 50942, 50431, 52678, 50955, 50437, 52678, 50955, 50443, 52678, 76078, 52678, 78971, 52678, 50862, 52591, 51992, 57629, 52678, 50942, 60357, 51981, 51110, 51231, 51177, 72062, 51177, 64517, 50967, 51615, 55576, 76922, 54215, 51971, 50901, 51019, 50967, 51465, 50845, 51818, 50849, 79354, 51221, 71407, 51110, 52033, 57564, 50901, 51769, 50873, 50442, 52678, 51204, 50444, 51213, 51215, 51719, 51178, 52948, 51095, 50706, 50310, 51377, 50706, 50322, 50889, 52332, 55998, 50925, 51769, 50910, 51453, 50886, 51621, 50867, 57752, 54156, 76786, 51410, 51293, 51457, 51445, 52948, 51445, 52287, 51293, 51656, 51922, 51881, 51748, 52332, 52727, 50798, 56522, 53911, 52678, 64321, 53891, 52678, 50959, 51213, 59407, 58162, 51559, 63959, 52678, 63250, 64698, 63041, 50816, 51297, 50451, 52678, 50901, 51133, 51060, 52243, 51122, 51559, 59697, 51271, 63477, 59301, 50886, 51601, 52678, 59756, 52873, 54351, 51992, 50955, 50421, 50927, 59756, 58043, 59329, 50816, 51128, 72130, 51000, 51694, 50941, 50427, 52678, 50878, 51019, 51238, 51465, 51243, 51818, 51151, 51981, 51151, 52033, 51922, 56617, 51671, 51615, 73506, 59343, 51437, 64662, 51971, 59689, 66090, 50953, 72649, 56022, 71696, 51971, 78570, 64599, 51415, 51215, 53020, 50952, 51905, 56411, 50937, 51892, 50454, 52142, 50854, 51558, 68627, 51951, 50874, 51284, 55638, 62495, 53058, 50844, 51629, 50955, 51809, 50953, 51158, 52142, 50830, 51558, 53071, 51582, 50844, 50419, 51951, 50833, 51284, 62642, 53058, 50897, 51629, 62283, 58043, 55946, 50816, 51128, 50425, 51951, 50859, 51284, 55742, 51000, 51694, 73956, 51019, 51505, 52130, 50865, 79354, 50795, 71407, 50893, 51600, 57603, 59756, 57900, 66855, 51992, 50878, 50440, 51992, 69775, 51992, 50942, 50452, 51992, 50873, 51809, 51992, 63980, 53399, 50942, 50428, 51992, 50878, 51019, 51379, 51465, 52062, 51231, 51422, 51672, 51939, 51818, 51422, 56165, 50977, 51953, 52122, 51676, 76274, 52189, 54125, 52678, 50873, 52760, 50886, 52118, 50886, 66720, 55424, 50942, 53525, 51049, 54748, 52711, 52760, 50855, 52118, 56112, 51971, 52959, 54105, 56165, 64364, 52760, 50855, 52118, 53340, 53920, 56165, 50837, 55424, 50374, 53047, 59022, 51019, 72649, 53340, 50886, 50799, 52508, 51194, 52760, 50830, 52118, 50849, 51402, 53066, 53469, 55946, 51465, 50864, 51231, 50837, 51249, 50857, 51672, 51129, 51818, 54880, 52675, 59399, 51019, 51175, 51465, 52062, 51231, 51939, 51672, 51939, 51818, 51662, 57125, 58853, 51992, 50942, 52760, 50867, 52118, 53065, 54728, 56165, 50886, 55424, 64524, 51992, 56949, 51049, 55352, 66372, 51992, 50942, 52760, 50862, 52118, 51559, 62564, 51992, 51095, 55424, 50933, 52760, 50886, 52118, 55316, 62474, 51889, 61780, 50798, 52304, 50864, 51601, 52508, 50901, 52118, 50849, 50418, 51992, 55690, 65599, 53399, 50925, 70498, 52760, 50855, 52118, 53630, 50840, 52558, 50430, 51992, 50925, 50964, 51215, 51476, 51803, 51231, 51790, 51327, 51742, 51818, 51742, 51676, 51359, 51829, 60922, 52189, 62657, 52678, 50873, 52760, 50857, 52118, 50862, 52558, 50439, 52724, 50864, 57040, 51049, 54101, 66372, 52760, 50862, 52118, 52304, 64891, 51971, 50807, 50452, 52724, 58686, 52760, 50813, 52118, 50854, 51953, 50359, 50404, 50791 ]
[ 0, 250, 19448, 8, 5679, 26709, 5175, 25771, 2125, 4246, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 83, 538, 19, 10, 132, 73, 306, 86, 6543, 8, 10, 38451, 3938, 20889, 6, 17407, 30, 10, 33215, 13931, 9, 230, 10431, 119, 6, 1918, 406, 6, 381, 12361, 6, 1918, 1176, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 74734, 51846, 50806, 51786, 58718, 50960, 52774, 51786, 50821, 51078, 54901, 60183, 51292, 52247, 51846, 57200, 54765, 51067, 69055, 51078, 55246, 70442, 51057, 59077, 51438, 58718, 50960, 52774, 51438, 50821, 50970, 54901, 60848, 51292, 52247, 51207, 57200, 54765, 51067, 69055, 50970, 55246, 74670, 51057, 52028, 50806, 51292, 58718, 50960, 52774, 51292, 50821, 50998, 54901, 55784, 51067, 52247, 52028, 57200, 54765, 51316, 69055, 50998, 55246, 60405, 51057, 66530, 51067, 58718, 51311, 52774, 65611, 54765, 50423, 70505, 51316, 52247, 51504, 57200, 62979, 51076, 69055, 54765, 50435, 51169, 50821, 51057, 50624, 51574, 50806, 55046, 50417, 51207, 52774, 54765, 50947, 54901, 50929, 52247, 51574, 50806, 51076, 57200, 51207, 52309, 54765, 51067, 55246, 59400, 51057, 52012, 51196, 50929, 69171, 50929, 51196, 51549, 51196, 51317, 51196, 51064, 51196, 50416, 51064, 51196, 69434, 68433, 57504, 57504, 55784, 51444, 55419, 50947, 51160, 51292, 63447, 61446, 50429, 68433, 57504, 57504, 50947, 55246, 55784, 51292, 51226, 51057, 59364, 50417, 68433, 51078, 54901, 51317, 51160, 51078, 63447, 65222, 61446, 50429, 50929, 52686, 60405, 68433, 51078, 55246, 70442, 51057, 56488, 57566, 60106, 51444, 55419, 50998, 51160, 50970, 51160, 50947, 51160, 50947, 63447, 61446, 50429, 74548, 57566, 57566, 51067, 55246, 55784, 50998, 51685, 50970, 51685, 51032, 51685, 51057, 59364, 50417, 68433, 50970, 54901, 51317, 51160, 50970, 63447, 51131, 55224, 68433, 57566, 51057, 68433, 57504, 57504, 55784, 51444, 55419, 50947, 51160, 51292, 63447, 61446, 50429, 68433, 57504, 57504, 50947, 55246, 55784, 51292, 51685, 51057, 59364, 50417, 68433, 51078, 54901, 51317, 51160, 51078, 63447, 51131, 55224, 68433, 57504, 51057, 57504, 58870, 53092, 55419, 70442, 51207, 51160, 50960, 69321, 75563, 53092, 69460, 59077, 54765, 51076, 55246, 57504, 58870, 51057, 53092, 66281, 59077, 54765, 51076, 54901, 55784, 51207, 51160, 50960, 63447, 53092, 69460, 51076, 69055, 59077, 54765, 51057, 55046, 60106, 53271, 55419, 74670, 51207, 51160, 50960, 69321, 75563, 53271, 69460, 59077, 54765, 51064, 55246, 55046, 60106, 51057, 53271, 66281, 59077, 54765, 51064, 54901, 55784, 51207, 51160, 50960, 63447, 53271, 69460, 51064, 69055, 59077, 54765, 51057, 56406, 68909, 52012, 55419, 60405, 51207, 51160, 50960, 69321, 51292, 52247, 65009, 50429, 59077, 54765, 50947, 55246, 56406, 68909, 51057, 65009, 50417, 59077, 54765, 50947, 54901, 68909, 51207, 51160, 50960, 63447, 65009, 50429, 50947, 69055, 59077, 54765, 51057, 56406, 68909, 52012, 55419, 59400, 51207, 51160, 51317, 69321, 51292, 52247, 65009, 50429, 59077, 68433, 55046, 50435, 56406, 68909, 51057, 65009, 50417, 59077, 68433, 50929, 54901, 68909, 51207, 51160, 51317, 63447, 65009, 50429, 50929, 69055, 59077, 68433, 69434, 68433, 57504, 57504, 55784, 51444, 55419, 50947, 51160, 51292, 63447, 61446, 50429, 68433, 57504, 57504, 50947, 55246, 55784, 51292, 51226, 51057, 59364, 50417, 68433, 51078, 54901, 51317, 51160, 51078, 63447, 65222, 61446, 50429, 50929, 52686, 60405, 68433, 51078, 55246, 70442, 51057, 56488, 57566, 60106, 51444, 55419, 50998, 51160, 50970, 51160, 50947, 51160, 50947, 63447, 61446, 50429, 74548, 57566, 57566, 51067, 55246, 55784, 50998, 51685, 50970, 51685, 51032, 51685, 51057, 59364, 50417, 68433, 50970, 54901, 51317, 51160, 50970, 63447, 51131, 55224, 68433, 57566, 51057, 68433, 57504, 57504, 55784, 51444, 55419, 50947, 51160, 51292, 63447, 61446, 50429, 68433, 57504, 57504, 50947, 55246, 55784, 51292, 51685, 51057, 59364, 50417, 68433, 51078, 54901, 51317, 51160, 51078, 63447, 51131, 55224, 68433, 57504, 51057, 57504, 58870, 53092, 55419, 70442, 51207, 51160, 50960, 69321, 75563, 53092, 69460, 59077, 54765, 51076, 55246, 57504, 58870, 51057, 53092, 66281, 59077, 54765, 51076, 54901, 55784, 51207, 51160, 50960, 63447, 53092, 69460, 51076, 69055, 59077, 54765, 51057, 55046, 60106, 53271, 55419, 74670, 51207, 51160, 50960, 69321, 75563, 53271, 69460, 59077, 54765, 51064, 55246, 55046, 60106, 51057, 53271, 66281, 59077, 54765, 51064, 54901, 55784, 51207, 51160, 50960, 63447, 53271, 69460, 51064, 69055, 59077, 54765, 51057, 56406, 68909, 52012, 55419, 60405, 51207, 51160, 50960, 69321, 51292, 52247, 65009, 50429, 59077, 54765, 50947, 55246, 56406, 68909, 51057, 65009, 50417, 59077, 54765, 50947, 54901, 68909, 51207, 51160, 50960, 63447, 65009, 50429, 50947, 69055, 59077, 54765, 51057, 56406, 68909, 52012, 55419, 59400, 51207, 51160, 51317, 69321, 51292, 52247, 65009, 50429, 59077, 68433, 55046, 50435, 56406, 68909, 51057, 65009, 50417, 59077, 68433, 50929, 54901, 68909, 51207, 51160, 51317, 63447, 65009, 50429, 50929, 69055, 59077, 68433, 51057, 55784, 51292, 51160, 51444, 55419, 50960, 51160, 50970, 69321, 51067, 52422, 64687, 59364, 50429, 79797, 51076, 55246, 60183, 51067, 51226, 51057, 58208, 50417, 54765, 50970, 54901, 50960, 51160, 50970, 63447, 58208, 50429, 51076, 52309, 54765, 50970, 55246, 64687, 51057, 60183, 51067, 51160, 51725, 55419, 50986, 51160, 50998, 69321, 51032, 52422, 70442, 63642, 50429, 74548, 50947, 55246, 55784, 51032, 51685, 51057, 62867, 50417, 56488, 50998, 54901, 50986, 51160, 50998, 63447, 51504, 55224, 74548, 51057, 60888, 55784, 53271, 66281, 50929, 52774, 50960, 51160, 50970, 69321, 75563, 53271, 69460, 79797, 51032, 55246, 55784, 58870, 51057, 53271, 66281, 79797, 51292, 54901, 79540, 50960, 51160, 50970, 63447, 53271, 69460, 51563, 69055, 79797, 51057, 51292, 50821, 56406, 55046, 58870, 65009, 50417, 50947, 52871, 60405, 50998, 51160, 50929, 51160, 51067, 69321, 50947, 51226, 50426, 65009, 50429, 56406, 55046, 51067, 55246, 62049, 59400, 51316, 50821, 51057, 56406, 55046, 75193, 52012, 55419, 50998, 51160, 50929, 51160, 51316, 63447, 65009, 50429, 56406, 55046, 51316, 55246, 62049, 59400, 51316, 50821, 69434, 68433, 57504, 57504, 55784, 51444, 55419, 50947, 51160, 51292, 63447, 61446, 50429, 68433, 57504, 57504, 50947, 55246, 55784, 51292, 51226, 51057, 59364, 50417, 68433, 51078, 54901, 51317, 51160, 51078, 63447, 65222, 61446, 50429, 50929, 52686, 60405, 68433, 51078, 55246, 70442, 51057, 56488, 57566, 60106, 51444, 55419, 50998, 51160, 50970, 51160, 50947, 51160, 50947, 63447, 61446, 50429, 74548, 57566, 57566, 51067, 55246, 55784, 50998, 51685, 50970, 51685, 51032, 51685, 51057, 59364, 50417, 68433, 50970, 54901, 51317, 51160, 50970, 63447, 51131, 55224, 68433, 57566, 51057, 68433, 57504, 57504, 55784, 51444, 55419, 50947, 51160, 51292, 63447, 61446, 50429, 68433, 57504, 57504, 50947, 55246, 55784, 51292, 51685, 51057, 59364, 50417, 68433, 51078, 54901, 51317, 51160, 51078, 63447, 51131, 55224, 68433, 57504, 51057, 57504, 58870, 53092, 55419, 70442, 51207, 51160, 50960, 69321, 75563, 53092, 69460, 59077, 54765, 51076, 55246, 57504, 58870, 51057, 53092, 66281, 59077, 54765, 51076, 54901, 55784, 51207, 51160, 50960, 63447, 53092, 69460, 51076, 69055, 59077, 54765, 51057, 55046, 60106, 53271, 55419, 74670, 51207, 51160, 50960, 69321, 75563, 53271, 69460, 59077, 54765, 51064, 55246, 55046, 60106, 51057, 53271, 66281, 59077, 54765, 51064, 54901, 55784, 51207, 51160, 50960, 63447, 53271, 69460, 51064, 69055, 59077, 54765, 51057, 56406, 68909, 52012, 55419, 60405, 51207, 51160, 50960, 69321, 51292 ]
[ 0, 250, 20902, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 2382, 3459, 8669, 6, 30587, 8669, 6, 21072, 6, 21979, 9590, 6, 8, 2662, 271, 4, 20, 33301, 16, 14899, 8, 33558, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 1769, 20889, 9, 19641, 13410, 228, 2289, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 119, 1176, 406, 6, 3676, 406, 6, 163, 119, 1176, 406, 6, 3676, 6, 8, 211, 6, 2351, 10, 1372, 8, 20425, 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 ]	[ 58375, 55986, 51031, 55057, 56262, 50843, 56385, 50843, 51031, 59412, 51023, 51391, 50432, 51282, 52782, 50438, 51208, 51241, 50444, 51282, 53892, 50450, 51092, 59827, 51282, 52188, 50799, 51185, 51241, 50420, 51282, 52378, 50426, 51092, 57648, 51089, 74048, 51208, 51679, 50444, 51089, 63160, 50450, 51023, 51484, 51601, 51023, 51419, 50426, 51282, 76395, 50428, 51281, 52256, 50440, 51023, 51671, 50455, 51208, 54573, 50796, 50441, 51268, 57940, 51281, 76791, 51023, 55514, 51208, 51189, 52478, 51023, 51142, 50421, 74530, 50424, 51268, 50984, 50428, 51281, 56599, 63515, 60319, 70612, 53336, 51224, 52670, 60319, 70612, 52975, 51224, 50837, 51658, 54192, 70612, 53675, 51224, 52763, 60319, 70612, 53563, 51224, 50837, 51755, 54192, 70612, 53336, 51224, 52670, 60319, 70612, 52975, 51224, 50837, 51658, 54192, 70612, 53675, 51224, 52763, 60319, 70612, 53563, 51224, 59044, 51282, 51671, 50458, 51118, 51313, 50460, 51089, 51748, 54389, 50938, 51118, 50863, 51089, 50863, 51023, 50870, 51023, 51243, 60319, 70612, 53336, 51216, 50866, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50978, 51089, 50978, 51023, 71870, 52670, 51493, 50917, 78037, 51089, 50837, 51023, 54715, 54192, 70612, 52975, 51216, 51162, 51118, 50908, 51089, 50908, 51118, 51058, 51089, 50974, 51023, 50905, 51224, 52896, 51118, 50870, 51089, 50891, 51023, 55401, 54192, 70612, 53675, 51216, 50901, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51058, 51089, 50905, 51023, 50974, 51224, 52763, 51493, 51100, 51118, 50870, 51089, 50891, 51023, 55259, 54192, 70612, 53563, 51216, 51377, 51118, 50908, 51089, 50908, 51023, 50908, 79301, 51089, 50974, 51023, 50838, 51224, 50837, 74290, 50891, 51089, 50863, 51023, 55259, 54192, 70612, 53336, 51216, 50845, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51058, 51089, 73742, 50974, 51224, 52670, 51493, 51121, 51118, 50870, 51089, 50863, 51023, 55259, 54192, 70612, 52975, 51216, 51377, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51008, 51089, 51006, 51023, 50838, 51224, 52896, 51118, 50908, 51089, 50870, 51023, 55259, 54192, 70612, 53675, 51216, 50892, 51118, 50908, 51089, 50908, 51023, 50908, 79301, 51089, 73742, 50838, 51224, 52763, 51493, 51100, 51118, 50870, 51089, 50891, 51023, 55401, 54192, 70612, 53563, 51216, 51377, 51089, 50908, 51023, 50908, 51118, 51058, 51089, 50974, 51023, 50974, 51282, 52783, 51224, 59044, 51118, 51742, 50460, 51089, 52168, 74290, 50863, 51089, 50870, 51023, 55259, 54192, 70612, 71240, 56075, 51023, 52783, 50420, 51216, 50892, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50978, 51089, 50905, 51023, 50974, 51224, 65356, 53899, 52005, 52670, 51493, 51121, 51118, 50891, 51089, 50908, 51023, 50908, 52124, 51054, 50850, 50835, 60028, 50873, 60319, 70612, 71240, 52818, 51216, 51255, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51008, 51089, 51006, 51023, 50974, 51224, 65356, 53439, 52005, 53018, 51118, 50891, 51089, 50870, 51023, 50908, 54110, 51054, 50935, 50829, 67581, 51194, 60319, 70612, 71240, 53325, 51216, 51121, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51058, 51089, 50974, 51023, 50838, 51224, 65356, 53528, 52005, 52805, 51493, 51121, 51118, 50891, 51089, 50863, 51023, 50908, 52047, 51054, 50909, 50834, 58113, 51110, 60319, 70612, 71240, 53007, 51216, 51255, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50978, 51089, 51006, 51023, 50905, 51224, 65356, 54600, 52005, 50863, 74290, 50870, 51089, 50863, 51023, 50891, 51763, 51054, 51007, 50829, 61759, 51124, 60319, 70612, 71240, 53203, 51216, 51177, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50955, 51089, 51058, 51023, 50987, 51224, 65356, 53899, 52005, 52670, 51493, 51178, 51118, 50908, 51089, 50891, 51023, 50908, 52047, 51054, 50909, 50829, 58113, 51100, 60319, 70612, 71240, 52818, 51216, 51194, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50878, 51089, 50978, 51023, 71870, 65356, 53439, 52005, 53018, 51118, 50891, 51089, 50891, 51023, 50908, 54110, 50914, 50935, 50825, 67581, 51194, 60319, 70612, 71240, 53325, 51216, 51101, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50987, 51089, 50978, 51023, 71870, 65356, 53528, 52005, 52805, 51493, 50925, 51118, 50908, 51089, 50908, 51023, 50908, 52124, 51090, 50850, 50825, 60028, 51194, 60319, 70612, 71240, 53007, 51216, 50849, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50987, 51089, 50987, 51023, 71870, 65356, 54600, 52005, 50863, 56098, 51060, 51595, 50908, 51089, 50908, 51281, 50908, 52124, 62136, 50834, 60028, 51203, 60319, 70612, 71240, 53203, 51668, 51178, 51595, 50908, 51089, 50908, 51281, 50908, 51089, 50845, 51281, 51242, 51208, 51101, 51224, 65356, 53899, 52005, 52670, 51595, 50891, 51089, 50891, 51281, 50908, 63512, 51013, 50992, 50825, 75538, 51101, 60319, 70612, 71240, 52818, 51668, 51121, 51595, 50908, 51089, 50908, 51281, 50908, 51089, 50901, 51281, 50974, 51208, 78220, 65356, 53439, 52005, 53018, 51493, 51111, 51595, 50908, 51089, 50908, 51281, 50908, 52124, 62136, 50835, 60028, 50845, 60319, 70612, 71240, 53325, 51668, 51110, 51595, 50908, 51089, 50908, 51281, 50908, 51089, 50892, 51281, 50974, 51208, 51212, 51224, 65356, 53528, 52005, 52805, 51595, 50908, 51089, 50870, 51281, 50908, 54110, 51090, 50935, 50837, 67581, 51194, 60319, 70612, 71240, 53007, 51668, 50873, 51089, 50908, 51281, 50908, 51089, 50866, 51281, 50978, 51208, 50901, 51224, 65356, 54600, 51595, 50368, 52271, 50863, 56098, 51111, 51595, 50908, 51089, 50891, 51281, 50908, 52124, 60787, 50835, 60028, 51101, 60319, 70612, 71240, 53203, 51668, 51100, 51595, 50908, 51089, 50908, 51281, 50908, 51089, 50892, 51281, 50892, 51208, 51177, 63512, 51896, 51224, 65356, 53899, 52005, 52670, 51595, 50908, 51089, 50908, 51281, 50870, 50992, 50837, 75538, 50845, 60319, 70612, 71240, 52818, 51668, 50937, 51595, 50908, 51089, 50908, 51281, 50908, 51089, 50892, 51281, 50892, 51208, 71870, 65356, 53439, 52005, 53018, 51493, 51121, 78037, 51089, 50870, 51023, 50870, 50944, 50837, 76054, 54036, 54192, 70612, 71240, 56755, 75538, 51351, 50442, 50992, 53027, 51150, 50967, 51118, 50908, 51089, 50908, 51023, 50908, 51089, 74224, 50901, 51092, 60858, 65356, 53528, 52005, 52805, 51595, 50891, 51089, 50908, 51281, 55259, 54192, 70612, 71240, 53007, 51668, 50892, 51595, 50908, 51089, 50908, 51281, 50908, 51089, 50845, 51281, 50901, 51208, 50901, 51224, 65356, 54600, 52005, 50863, 54389, 50925, 51118, 50863, 51089, 50870, 51023, 55259, 54192, 70612, 71240, 53203, 51216, 50892, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50978, 51089, 50905, 51023, 50974, 51224, 65356, 53899, 52005, 52670, 51493, 51121, 51118, 50891, 51089, 50908, 51023, 50908, 52124, 51054, 50850, 50835, 60028, 50873, 60319, 70612, 71240, 52818, 51216, 51255, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51008, 51089, 51006, 51023, 50974, 51224, 65356, 53439, 52005, 53018, 51118, 50891, 51089, 50870, 51023, 50908, 54110, 51054, 50935, 50829, 67581, 51194, 60319, 70612, 71240, 53325, 51216, 51121, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51058, 51089, 50974, 51023, 50838, 51224, 65356, 53528, 52005, 52805, 51493, 51121, 51118, 50891, 51089, 50863, 51023, 50908, 52047, 51054, 50909, 50834, 58113, 51110, 60319, 70612, 71240, 53007, 51216, 51255 ]
[ 0, 250, 765, 6, 15352, 30054, 5175, 8, 3495, 2214, 19, 10, 822, 12, 3341, 1318, 6, 278, 11, 10, 231, 73, 398, 86, 6543, 23, 10, 38451, 3938, 20889, 4, 20, 13305, 5723, 5, 8859, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 4, 23973, 11, 5, 762, 9, 12608, 538, 6, 24, 1575, 10, 33215, 16739, 9, 230, 119, 406, 6, 274, 6, 12608, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50628, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50450, 50628, 50451, 50900, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50965, 51127, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50871, 55385, 50628, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 51050, 51218, 51001, 51056, 50462, 50965, 51127, 50468, 50997, 51218, 51540, 50900, 51141, 50871, 50889, 50427, 64384, 50433, 50956, 51218, 50439, 65943, 50450, 50628, 50451, 51176, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50965, 51127, 50463, 50628, 50467, 50628, 50468, 50997, 51218, 50471, 50628, 50476, 50628, 50480, 50628, 51540, 50628, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50450, 50628, 50451, 50900, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50965, 51127, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50871, 55385, 50628, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 51050, 51218, 51001, 51056, 50462, 50871, 51056, 50468, 50997, 51218, 50474, 64384, 51540, 50900, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50956, 51218, 69332, 70147, 50628, 50451, 51176, 51218, 64384, 50454, 50628, 50459, 50628, 50462, 65943, 50463, 50628, 50467, 50628, 50468, 50997, 51218, 50471, 50628, 50474, 51001, 51056, 50476, 50628, 50480, 50628, 51540, 50628, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 50900, 51218, 51001, 51056, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50451, 50900, 51218, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50451, 50900, 51218, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50451, 50900, 51218, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50450, 50628, 50451, 50900, 51218, 50454, 50628, 50459, 50628, 50462, 50871, 51056, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50474, 64384, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50876, 55385, 50628, 50427, 51001, 51056, 50433, 50997, 51218, 69332, 51056, 50451, 51050, 51218, 64384, 50462, 65943, 50468, 50997, 51218, 50474, 51001, 51056, 51540, 50900, 51141, 50871, 50889, 50427, 64384, 50433, 50956, 51218, 50439, 65943, 50450, 50628, 50451, 51176, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50871, 51056, 50463, 50628, 50467, 50628, 50468, 50997, 51218, 50471, 50628, 50474, 64384, 50476, 50628, 50480, 50628, 51540, 50628, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 69332, 70147, 50628, 50451, 50900, 51218, 64384, 50454, 50628, 50459, 50628, 50462, 65943, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50474, 51001, 51056, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50965, 64739, 50628, 50433, 50997, 51218, 69332, 51056, 50451, 51050, 51218, 64384, 50462, 65943, 50468, 50997, 51218, 50474, 51001, 51056, 51540, 50900, 51141, 50965, 51077, 50433, 50956, 51218, 69332, 70147, 50628, 50451, 51176, 51218, 64384, 50454, 50628, 50459, 50628, 50462, 65943, 50463, 50628, 50467, 50628, 50468, 50997, 51218, 50471, 50628, 50474, 51001, 51056, 50476, 50628, 50480, 50628, 51540, 50628, 51050, 51141, 50965, 51077, 50433, 50997, 51218, 69332, 51056, 50451, 50900, 51218, 64384, 50462, 65943, 50468, 50956, 51218, 50474, 51001, 51056, 51540, 51050, 51141, 50965, 51077, 50433, 50997, 51218, 69332, 51056, 50451, 50900, 51218, 64384, 50462, 65943, 50468, 50956, 51218, 50474, 51001, 51056, 51540, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 50900, 51218, 51001, 51056, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 69332, 51056, 50451, 50900, 51218, 64384, 50462, 65943, 50468, 50956, 51218, 50474, 51001, 51056, 51540, 50628, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50450, 50628, 50451, 50900, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50965, 51127, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50871, 55385, 50628, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 51050, 51218, 51001, 51056, 50462, 50965, 51127, 50468, 50997, 51218, 51540, 50900, 51141, 50871, 50889, 50427, 64384, 50433, 50956, 51218, 50439, 65943, 50450, 50628, 50451, 51176, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50965, 51127, 50463, 50628, 50467, 50628, 50468, 50997, 51218, 50471, 50628, 50476, 50628, 50480, 50628, 51540, 50628, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50450, 50628, 50451, 50900, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50965, 51127, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50871, 55385, 50628, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 51050, 51218, 51001, 51056, 50462, 50871, 51056, 50468, 50997, 51218, 50474, 64384, 51540, 50900, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50956, 51218, 69332, 70147, 50628, 50451, 51176, 51218, 64384, 50454, 50628, 50459, 50628, 50462, 65943, 50463, 50628, 50467, 50628, 50468, 50997, 51218, 50471, 50628, 50474, 51001, 51056, 50476, 50628, 50480, 50628, 51540, 50628, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 50900, 51218, 51001, 51056, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50451, 50900, 51218, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50451, 50900, 51218, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50451, 50900, 51218, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50450, 50628, 50451, 50900, 51218, 50454, 50628, 50459, 50628, 50462, 50871, 51056, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50474, 64384, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50876, 55385, 50628, 50427, 51001, 51056, 50433, 50997, 51218, 69332, 51056, 50451, 51050, 51218, 64384, 50462, 65943, 50468, 50997, 51218, 50474, 51001, 51056, 51540, 50900, 51141, 50871, 50889, 50427, 64384, 50433, 50956, 51218, 50439, 65943, 50450, 50628, 50451, 51176, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50871, 51056, 50463, 50628, 50467, 50628, 50468, 50997, 51218 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 619, 6, 42, 2214, 1575, 41, 21979, 8669, 6, 12280, 3275, 1725, 3109, 6, 8, 6755, 12547, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 11956, 38451, 3938, 20889, 4, 20, 15229, 7630, 6568, 10, 1472, 9, 36474, 13005, 8, 2821, 16235, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 230, 10431, 8, 274, 10431, 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 ]	[ 56103, 52065, 50883, 51357, 50883, 51699, 50836, 53029, 51550, 52573, 51252, 52049, 51252, 51207, 51233, 51076, 67694, 51883, 50884, 51113, 72083, 58993, 50417, 51699, 50883, 51088, 62740, 50929, 63817, 51699, 50840, 53029, 51851, 52573, 51851, 52049, 57051, 52065, 50883, 51357, 50883, 51699, 50840, 52573, 51851, 52049, 51297, 53029, 51252, 66493, 51076, 75980, 51883, 50895, 51113, 50895, 67418, 50430, 51699, 74567, 50821, 50929, 53974, 51699, 50813, 52573, 51258, 52049, 51128, 53029, 59580, 53148, 50813, 51251, 50887, 51107, 50887, 53322, 51004, 53322, 51004, 53249, 52835, 52573, 51851, 55061, 51252, 50439, 51067, 51472, 52028, 51446, 50444, 53148, 50867, 51883, 50890, 51113, 50890, 55061, 51297, 53249, 51319, 52573, 51319, 53322, 51297, 50960, 55268, 53148, 50867, 53148, 50840, 51491, 50840, 57354, 52231, 55061, 51297, 53249, 52134, 52573, 51851, 53322, 51297, 50960, 54166, 52371, 50813, 53148, 50855, 51251, 50813, 53249, 51258, 52573, 51004, 53322, 51129, 55061, 51297, 50960, 50887, 50799, 52065, 50883, 51357, 50883, 51699, 50836, 53029, 51319, 53895, 52514, 52573, 51851, 52049, 51851, 51076, 68061, 51207, 50937, 50947, 50859, 50416, 51883, 50828, 51113, 55221, 50929, 69736, 51699, 50880, 51088, 54658, 51699, 50857, 53029, 51128, 53895, 51319, 52573, 51319, 52049, 57051, 52065, 50961, 51357, 50961, 51699, 50813, 53895, 51129, 53029, 51128, 52573, 51851, 52049, 51128, 66493, 51076, 57982, 69911, 50428, 51883, 50895, 51113, 50895, 50947, 75411, 51699, 50882, 51088, 50882, 50929, 54937, 51699, 50841, 53029, 51126, 53895, 51851, 52573, 51319, 52049, 60438, 53148, 50855, 51251, 50887, 51107, 50887, 55061, 51128, 53249, 52514, 52573, 51319, 53322, 51128, 50439, 51067, 51364, 52028, 51446, 50441, 52371, 50836, 51251, 54465, 52830, 50809, 53148, 50857, 51301, 50809, 55061, 51297, 53249, 52514, 52573, 51319, 53322, 51297, 50960, 58181, 53148, 50809, 51491, 52555, 53148, 50813, 51699, 50880, 65182, 55061, 51128, 53249, 51319, 52573, 51319, 53322, 51128, 50451, 50960, 55007, 51883, 50890, 51113, 54663, 53148, 50820, 52065, 50880, 51357, 50880, 55061, 51297, 53249, 52835, 52573, 52134, 53322, 51297, 50457, 50960, 54943, 51299, 50887, 51093, 50887, 50799, 52065, 50883, 51357, 50883, 51699, 50813, 53882, 51129, 52573, 51258, 53029, 51128, 53895, 51319, 52049, 51297, 51067, 57056, 51207, 50892, 51032, 61131, 51883, 50883, 51113, 56092, 51699, 50882, 51088, 50882, 51076, 55777, 51699, 50855, 53029, 51128, 53895, 52134, 52573, 51319, 52049, 57051, 52065, 50883, 51357, 50883, 51699, 50813, 53029, 51128, 53895, 51851, 52573, 51319, 52049, 51128, 51207, 50901, 67519, 51067, 57286, 51032, 65216, 51883, 50884, 51113, 56710, 51883, 50844, 51076, 50829, 51076, 65337, 51699, 50858, 51088, 54154, 52065, 50844, 52573, 51129, 53029, 51297, 53895, 52514, 52049, 64568, 51299, 52841, 53148, 51073, 51251, 51159, 51491, 51073, 52573, 52782, 53322, 51824, 55061, 54557, 53249, 62609, 50947, 51013, 50998, 51003, 51444, 76623, 52049, 52731, 50450, 53322, 56615, 50456, 52573, 52179, 63441, 50818, 51182, 50818, 52065, 50857, 51299, 57070, 53029, 51319, 53895, 52514, 52573, 51851, 52049, 51297, 51311, 51101, 51067, 75240, 51113, 50839, 51284, 50839, 51032, 64173, 51357, 50833, 51558, 50833, 51076, 63817, 51699, 50855, 53029, 51319, 53895, 52514, 52573, 51319, 52049, 61288, 52065, 50813, 53029, 51319, 53895, 52835, 52573, 52134, 52049, 51297, 51311, 50901, 51067, 57286, 51088, 50884, 51182, 70690, 51113, 50846, 51284, 50846, 51032, 64247, 51357, 50836, 51558, 50836, 51076, 53974, 51699, 50820, 53029, 51297, 53895, 52514, 52573, 51319, 52049, 61389, 51301, 50836, 55342, 51297, 53895, 51319, 52740, 51319, 52049, 51128, 51574, 66326, 51299, 50818, 51093, 50818, 50929, 63608, 51251, 50846, 51107, 50846, 51078, 69822, 51299, 50864, 51301, 50809, 51093, 50864, 51266, 50809, 50998, 55489, 51299, 50855, 55342, 51297, 53895, 52134, 52740, 51319, 52049, 60258, 51299, 50846, 51301, 50846, 51093, 50846, 55342, 51297, 53895, 52134, 52740, 51297, 52049, 51297, 50451, 51574, 50849, 50929, 50887, 50452, 51251, 50818, 51107, 50818, 51078, 50937, 51076, 54071, 50453, 51299, 51128, 51093, 51128, 50454, 51301, 50809, 51266, 50809, 50998, 51754, 51299, 50834, 55342, 51297, 53895, 52514, 52740, 51319, 52049, 51319, 50799, 51491, 50884, 51600, 50884, 51883, 50836, 55061, 51297, 53249, 52134, 52573, 51319, 53322, 51128, 51032, 67694, 51131, 50901, 50416, 51088, 50841, 51182, 50841, 51076, 65149, 51113, 50840, 51284, 50840, 50947, 54681, 53148, 50886, 53249, 51851, 52573, 51319, 53322, 51128, 55061, 58782, 51883, 50841, 51491, 50895, 51600, 50895, 57354, 52231, 55061, 51297, 53249, 52134, 52573, 51851, 53322, 51297, 51131, 50937, 51032, 50887, 69605, 50428, 51088, 50841, 51182, 50841, 51076, 57766, 65269, 51284, 80020, 52359, 53148, 50837, 53249, 51851, 52573, 51319, 53322, 51297, 55061, 61929, 51883, 50895, 51251, 50828, 51113, 50895, 55061, 51128, 53249, 51851, 52573, 51319, 53322, 51128, 51444, 51110, 51078, 67201, 52065, 50846, 51357, 77446, 50917, 50442, 51299, 50887, 51093, 50887, 50960, 52711, 52371, 50828, 57354, 52611, 55061, 51297, 53249, 52835, 52573, 51319, 53322, 60801, 51883, 50884, 51251, 50841, 51113, 50884, 57354, 52231, 55061, 51297, 53249, 52134, 52573, 51319, 53322, 51297, 51444, 60720, 51078, 64703, 52065, 50818, 51357, 50818, 50998, 73900, 51299, 50884, 51093, 50884, 50960, 54166, 52371, 50820, 53249, 51306, 53322, 51004, 55061, 51297, 52573, 51319, 78936, 51346, 52065, 51290, 51357, 51290, 53029, 55765, 52573, 55765, 52049, 55574, 52797, 52996, 51076, 51013, 50415, 50960, 51267, 51207, 50943, 50431, 73493, 51182, 52658, 51699, 50828, 51064, 72986, 50986, 52835, 50437, 51207, 51003, 51064, 51646, 51699, 71247, 50917, 51182, 50917, 53029, 51737, 52573, 53024, 52049, 51387, 52443, 71835, 52371, 50855, 51491, 50840, 51600, 50840, 52049, 51306, 50947, 58138, 52371, 50828, 51491, 50938, 51600, 50938, 55061, 51697, 52573, 53024, 53322, 51387, 52242, 51387, 50960, 50943, 50947, 55416, 52371, 50820, 51088, 79164, 50836, 51064, 57264, 51113, 50813, 51284, 66422, 50859, 63441, 50917, 51182, 50917, 51699, 50914, 52049, 52782, 53029, 61887, 52573, 61887, 52443, 53280, 50415, 51064, 51060, 51207, 51233, 50420, 51251, 50846, 51107, 50846, 52049, 51824, 50929, 52450, 51251, 50938, 51107, 50938, 53029, 54071, 52573, 55574, 52049, 53697, 50960, 51116, 50929, 54777, 51699, 50841, 51088, 50840, 51182, 50840, 52443, 52192, 51064, 54773, 51699, 50828, 51088, 50977, 51182, 50977, 52049, 51998, 52049, 51022, 52443, 51123, 53029, 51737, 52573, 51697, 51207, 51221, 51064, 55700, 52371, 50867, 51491, 50836, 51600, 50836, 50947, 54721, 52371, 50834, 51491, 50937, 51600, 50937, 55061, 52731, 52573, 55811, 53322, 52192, 52242, 51387, 50960, 51157, 50947, 58603, 52371, 50829, 51088, 79164, 50836, 51064, 57264, 51113, 50813, 51284, 66422, 50840, 63441, 50897, 79960, 51699, 50889, 52049, 51387, 53029, 61211, 52573, 61887, 52443, 52011, 51207, 51194, 51064, 56202, 51699, 50836, 51638, 50887, 51088, 74155, 50887, 52049, 52192, 50929, 54818, 51699, 50887, 51638, 50809, 51088, 50887, 79094, 52049, 51387, 53029, 58090, 52573, 55584, 50960, 51178, 50929, 58672, 51699, 50812, 51699, 50859, 68291, 51088, 50859 ]
[ 0, 250, 765, 6, 1769, 12, 20764, 15855, 2125, 11, 211, 538, 6, 4246, 41, 21979, 8669, 4, 20, 2214, 7630, 6568, 10, 19448, 8, 1372, 5466, 6, 19, 10, 11602, 9, 25306, 7125, 4, 85, 3905, 10, 33215, 16739, 9, 211, 6, 272, 6, 211, 6, 83, 6, 8, 272, 73, 250, 6, 70, 624, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50960, 51412, 50423, 50960, 52654, 50634, 51207, 50995, 51311, 50889, 50929, 53912, 53092, 51097, 51444, 50995, 51207, 57991, 53092, 50981, 51444, 50981, 72103, 61894, 51255, 50423, 50960, 53906, 52028, 50995, 50960, 50914, 50947, 55965, 51444, 51097, 52028, 50995, 51131, 57991, 51444, 50981, 52028, 50995, 51131, 50995, 61894, 51221, 50423, 50960, 52654, 51207, 50995, 50929, 51116, 51076, 51116, 50435, 73776, 50947, 52691, 50998, 51534, 50929, 51534, 50447, 70748, 51078, 53140, 51725, 50995, 50986, 51363, 50998, 51363, 50459, 50998, 61482, 50812, 61894, 51363, 51076, 51363, 50423, 73248, 50947, 53450, 51444, 51097, 51311, 51148, 50929, 65680, 50960, 56508, 51444, 51097, 51131, 51534, 51078, 51534, 50459, 70748, 50799, 51078, 51255, 50423, 50947, 53906, 51067, 51127, 50435, 51444, 54123, 52028, 51255, 50447, 51131, 52843, 50960, 51003, 50459, 64323, 72243, 51203, 50423, 51067, 52710, 51316, 64164, 51444, 51097, 50998, 51097, 50929, 59124, 51032, 51145, 60533, 51097, 50960, 51097, 51078, 60324, 51207, 50932, 51076, 51534, 50435, 51311, 54123, 50960, 51363, 50447, 50929, 76320, 53140, 51444, 50995, 50986, 51412, 51078, 51412, 50459, 68864, 60533, 50915, 50986, 51255, 51078, 51255, 50423, 50947, 53049, 68986, 51311, 50981, 50929, 56692, 51311, 51003, 50960, 57991, 72103, 51311, 51412, 50459, 69125, 60938, 51221, 50423, 51076, 52710, 51078, 51244, 50947, 51244, 50435, 51444, 52691, 52028, 51203, 50447, 51444, 53140, 53805, 51145, 50459, 64567, 50947, 60870, 51316, 50829, 60938, 51412, 51076, 51412, 50423, 50947, 52921, 51078, 51145, 50947, 51145, 50435, 51444, 52691, 52028, 51203, 50447, 51444, 52843, 53805, 51148, 50459, 50929, 62222, 59652, 51316, 50867, 60938, 51412, 51076, 51412, 50423, 50947, 52921, 51444, 50915, 50960, 51534, 51078, 51534, 50435, 50947, 54181, 51067, 51221, 50447, 51786, 52848, 51292, 50943, 51563, 50943, 65309, 50995, 50998, 51097, 50929, 51097, 51032, 60324, 51444, 50915, 64226, 72490, 51067, 54975, 51444, 51363, 50447, 51444, 54004, 51444, 50915, 61894, 51412, 50423, 50960, 53450, 51317, 51003, 50998, 56509, 51444, 59124, 71311, 51078, 50995, 60533, 58187, 51311, 51097, 50929, 57937, 51444, 51412, 50447, 51444, 52843, 51444, 50915, 73934, 51534, 50929, 51534, 50423, 66315, 50929, 52921, 61447, 50947, 54975, 51444, 59124, 51846, 50995, 51076, 50995, 60533, 60324, 51131, 51939, 51032, 51939, 50438, 52562, 51172, 50447, 52562, 54004, 51444, 50995, 50799, 51846, 51534, 51076, 51534, 50423, 51846, 50810, 51076, 52654, 51131, 51692, 51032, 51692, 50438, 52562, 51534, 50447, 52562, 54004, 51444, 50981, 60533, 50981, 51169, 51363, 51076, 51363, 50423, 51169, 50810, 51076, 52654, 51444, 50915, 50947, 51255, 51032, 51255, 50435, 64836, 51032, 53614, 51444, 50981, 50929, 51255, 51316, 51255, 50447, 64162, 51316, 52843, 51444, 50981, 72490, 51067, 50915, 61894, 51645, 50423, 50960, 52654, 51207, 50995, 51311, 51003, 50929, 56509, 53092, 51097, 51444, 51097, 51207, 59124, 53092, 50981, 51444, 50995, 51207, 50995, 61894, 51255, 50423, 50960, 53450, 52028, 50995, 50960, 50914, 50947, 55965, 51444, 50995, 52028, 50995, 51131, 57991, 51444, 50915, 52028, 50981, 73077, 61894, 51203, 50423, 50960, 52654, 51207, 50995, 50929, 51116, 51076, 51116, 50435, 69605, 50947, 53614, 50998, 51412, 50929, 51412, 50447, 70748, 51078, 53140, 51725, 50995, 50986, 51363, 50998, 51363, 50459, 50998, 50808, 51032, 50808, 61080, 51363, 50947, 51363, 50423, 79509, 50947, 52654, 51444, 51097, 51311, 51145, 50929, 64488, 50960, 57197, 51444, 51097, 51131, 51412, 51078, 51412, 50459, 62326, 50799, 51078, 51221, 50423, 50947, 52654, 51067, 51127, 50435, 51444, 52691, 52028, 51255, 50447, 51131, 52843, 50960, 51003, 50459, 73776, 72243, 51255, 50423, 51067, 52710, 51444, 51097, 51316, 51145, 50435, 50998, 52691, 50929, 55125, 51444, 51097, 51032, 51148, 50459, 70748, 50799, 51078, 55035, 51207, 51097, 51076, 51412, 50435, 51311, 52788, 50960, 51203, 50447, 50929, 58321, 50929, 54086, 51444, 51097, 51317, 51363, 51078, 51363, 50459, 59664, 60533, 50981, 51317, 51203, 51078, 51203, 50423, 50947, 53906, 72103, 50929, 56692, 68986, 51311, 51363, 50929, 51363, 50447, 51311, 50810, 50929, 52843, 52028, 50981, 64226, 68020, 60533, 50981, 51131, 51534, 50423, 51131, 52921, 72103, 51311, 51203, 50435, 50960, 54181, 50929, 51221, 50447, 51076, 59698, 51067, 54185, 51444, 51097, 76425, 51032, 51412, 50459, 74453, 67524, 60533, 50915, 50947, 51255, 51032, 51255, 50423, 73776, 50947, 52921, 51207, 77749, 51003, 51076, 56509, 51444, 50995, 51207, 51534, 50447, 51207, 52843, 51444, 50981, 73077, 50799, 52028, 51003, 50960, 51238, 50947, 51238, 50423, 50947, 52654, 68986, 50929, 51221, 51076, 51221, 50435, 51076, 52729, 51067, 51255, 50447, 51563, 53639, 51444, 51097, 51032, 51221, 51788, 51221, 50459, 67524, 52866, 50844, 60533, 50995, 51032, 51203, 51788, 51203, 50423, 60674, 51786, 52921, 68986, 51076, 51003, 51563, 56509, 51444, 50981, 51078, 51172, 51067, 51172, 50447, 51067, 53140, 68986, 64387, 51076, 50995, 60533, 50981, 51078, 51255, 51067, 51255, 50423, 51067, 52654, 50634, 51207, 51422, 50960, 51662, 50929, 51662, 51076, 51662, 50269, 50785, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 1121, 42, 5175, 25771, 2214, 6, 26432, 636, 3938, 22052, 8, 20642, 2323, 45552, 833, 19, 38668, 9590, 8, 21072, 6, 2351, 10, 15352, 30054, 648, 2933, 5466, 4, 20, 2125, 6, 278, 11, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 3136, 23, 10, 7212, 20889, 9, 11571, 163, 5683, 4, 13231, 5, 15229, 6, 5, 33215, 16739, 9, 163, 6, 3676, 6, 230, 6, 8, 211, 35315, 5705, 6, 1271, 7, 5, 2214, 18, 13363, 28191, 8, 24111, 1318, 6, 7630, 14805, 10, 1472, 9, 980, 8, 1007, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52803, 51012, 52246, 55572, 51460, 50417, 52803, 51012, 52246, 65061, 54033, 73131, 54033, 51012, 52246, 55572, 54631, 52876, 50950, 52246, 56421, 71667, 52876, 50950, 52876, 56896, 52876, 50950, 54033, 50950, 52246, 64917, 54033, 50950, 52803, 52827, 52246, 57174, 52803, 52827, 52246, 55572, 51460, 50441, 52246, 77942, 52246, 55572, 55230, 52246, 56421, 59727, 52246, 60343, 52246, 50950, 50799, 52803, 51012, 51874, 55572, 51460, 50417, 52803, 51012, 51874, 65061, 54033, 73131, 54033, 51012, 51874, 55572, 54631, 52876, 50950, 51874, 56421, 71667, 52876, 50950, 52876, 56896, 52876, 50950, 54033, 50950, 51874, 64917, 54033, 50950, 52978, 51745, 51874, 57174, 52978, 51745, 51874, 55572, 51460, 50441, 51874, 77942, 51874, 55572, 55230, 52803, 51237, 51874, 56421, 51054, 50453, 52803, 68287, 51874, 60343, 51874, 50950, 50799, 52803, 51012, 52020, 55572, 51460, 50417, 52803, 51012, 52020, 65061, 54033, 73131, 54033, 51012, 52020, 55572, 54631, 52876, 50950, 52020, 56421, 71667, 52876, 50950, 52876, 56896, 52876, 50950, 54033, 50950, 52020, 64917, 54033, 50950, 52803, 51012, 52020, 57174, 52803, 51012, 52020, 55572, 51460, 50441, 52803, 50950, 52020, 62894, 52803, 50950, 54033, 77942, 54033, 51012, 52020, 55572, 55230, 52876, 51012, 52020, 56421, 51054, 50453, 52876, 60345, 54033, 51012, 52020, 60343, 54033, 51012, 52020, 50950, 50799, 54148, 51653, 52429, 55572, 51460, 50417, 54148, 51653, 52429, 73131, 54148, 51653, 52429, 55572, 54631, 54148, 51653, 52429, 56421, 59984, 54148, 51012, 52429, 64917, 54148, 51012, 52429, 57174, 52837, 51653, 52429, 55572, 51460, 50441, 52837, 51653, 52429, 77942, 52837, 51653, 52429, 55572, 55230, 52837, 51653, 52429, 56421, 57241, 52837, 51012, 52429, 56701, 66120, 52837, 51012, 52429, 50950, 50799, 52803, 51012, 52246, 55572, 51460, 50417, 52803, 51012, 52246, 65061, 54033, 73131, 54033, 51012, 52246, 55572, 54631, 52876, 50950, 52246, 56421, 71667, 52876, 50950, 52876, 56896, 52876, 50950, 54033, 50950, 52246, 64917, 54033, 50950, 52803, 51012, 52246, 57174, 52803, 51012, 52246, 55572, 51460, 50441, 52803, 50950, 52246, 62894, 52803, 50950, 54033, 77942, 54033, 51012, 52246, 55572, 55230, 52876, 51012, 52246, 56421, 51054, 50453, 52876, 60345, 54033, 51012, 52246, 60343, 54033, 51012, 52246, 50950, 50799, 52803, 51012, 51874, 55572, 51460, 50417, 52803, 51012, 51874, 65061, 54033, 73131, 54033, 51012, 51874, 55572, 54631, 52876, 50950, 51874, 56421, 71667, 52876, 50950, 52876, 56896, 52876, 50950, 54033, 50950, 51874, 64917, 54033, 50950, 52978, 51012, 51874, 57174, 52978, 51012, 51874, 55572, 51460, 50441, 52978, 51012, 51874, 62894, 52978, 77942, 52978, 50950, 51874, 55572, 55230, 52978, 50950, 52803, 51012, 51874, 56421, 51054, 50453, 52803, 60345, 52803, 51012, 51874, 60343, 52803, 51012, 51874, 50950, 50799, 52803, 51012, 52020, 55572, 51460, 50417, 52803, 51012, 52020, 65061, 54033, 73131, 54033, 51012, 52020, 55572, 54631, 52876, 50950, 52020, 56421, 71667, 52876, 50950, 52876, 56896, 52876, 50950, 54033, 50950, 52020, 64917, 54033, 50950, 52803, 51012, 52020, 57174, 52803, 51012, 52020, 55572, 51460, 50441, 52803, 50950, 52020, 62894, 52803, 50950, 54033, 77942, 54033, 51012, 52020, 55572, 55230, 52876, 51012, 52020, 56421, 51054, 50453, 52876, 60345, 54033, 51012, 52020, 60343, 54033, 51012, 52020, 50950, 50799, 54148, 51653, 52429, 55572, 51460, 50417, 54148, 51653, 52429, 73131, 54148, 51653, 52429, 55572, 54631, 54148, 51653, 52429, 56421, 59984, 54148, 51012, 52429, 64917, 54148, 51012, 52429, 57174, 54148, 51012, 52429, 55572, 51460, 50441, 54148, 51012, 52429, 62894, 52978, 61723, 52978, 50950, 52837, 51012, 52429, 55572, 55230, 52837, 51012, 52429, 56421, 68458, 52978, 57251, 52978, 50950, 54148, 51761, 52429, 56701, 66120, 54148, 50950, 52429, 50950, 73411, 55572, 70094, 60845, 52246, 66311, 55446, 50920, 57625, 52246, 57654, 54856, 53410, 51012, 52246, 56421, 70094, 50882, 53666, 53917, 53410, 51012, 52246, 57654, 57836, 52246, 57654, 55381, 61405, 50950, 52246, 55572, 70094, 61618, 53410, 51012, 52246, 66311, 55920, 50920, 57674, 61405, 51653, 52246, 57654, 54988, 52246, 56421, 51054, 51068, 50894, 54287, 54403, 56531, 51761, 52246, 64137, 57308, 52246, 57654, 50882, 62147, 55572, 70094, 60845, 51874, 66311, 55446, 50920, 57625, 51874, 57654, 54856, 53410, 51012, 51874, 56421, 70094, 50882, 53666, 53917, 53410, 51012, 51874, 57654, 57836, 51874, 57654, 55381, 54708, 51012, 51874, 55572, 70094, 61618, 51874, 66311, 55920, 53410, 66311, 57674, 51874, 57654, 54988, 61405, 50950, 51874, 56421, 51054, 51068, 56328, 53410, 66311, 54403, 51874, 64137, 57308, 53410, 51653, 51874, 57654, 50882, 63719, 55572, 70094, 60845, 52020, 66311, 55446, 61405, 66311, 57625, 52020, 57654, 54856, 61405, 50950, 52020, 56421, 70094, 58465, 56531, 66311, 53917, 52020, 57654, 57836, 56531, 51653, 52020, 57654, 55381, 52020, 55572, 70094, 61618, 52020, 66311, 55920, 56511, 66311, 57674, 52020, 57654, 54988, 56511, 51012, 52020, 56421, 51054, 51068, 50894, 54287, 54403, 54841, 51012, 52020, 64137, 57308, 52020, 57654, 50882, 50799, 60819, 56769, 52429, 55572, 70094, 60845, 52429, 66311, 55446, 50920, 57625, 52429, 57654, 54856, 52429, 56421, 70094, 50882, 53666, 53917, 52429, 57654, 57836, 52429, 57654, 55381, 52429, 55572, 70094, 61618, 52429, 66311, 55920, 50920, 57674, 52429, 57654, 54988, 52429, 56421, 51054, 51068, 50894, 54287, 54403, 52429, 64137, 57308, 52429, 57654, 50882, 73411, 55572, 70094, 60845, 52246, 66311, 55446, 50920, 57625, 52246, 57654, 54856, 53410, 51012, 52246, 56421, 70094, 50882, 53666, 53917, 53410, 51012, 52246, 57654, 57836, 52246, 57654, 55381, 61405, 51012, 52246, 55572, 70094, 61618, 52246, 66311, 55920, 53410, 57654, 57674, 61405, 51653, 52246, 57654, 54988, 52246, 56421, 51054, 51068, 50894, 54287, 54403, 56531, 51761, 52246, 64137, 57308, 52246, 57654, 50882, 62147, 55572, 70094, 60845, 51874, 66311, 55446, 50920, 57625, 51874, 57654, 54856, 53410, 51012, 51874, 56421, 70094, 50882, 53666, 53917, 53410, 51012, 51874, 57654, 57836, 51874, 57654, 55381, 54708, 51012, 51874, 55572, 70094, 61618, 51874, 66311, 55920, 53410, 66311, 57674, 51874, 57654, 54988, 61405, 51012, 51874, 56421, 51054, 51068, 50894, 54287, 54403, 53410, 51012, 51874, 64137, 57308, 51874, 57654, 50882, 50799, 53410, 51012, 52020, 55572, 70094, 60845, 52020, 66311, 55446, 61405, 66311, 57625, 52020, 57654, 54856, 61405, 50950, 52020, 56421, 70094, 58465, 56531, 66311, 53917, 52020, 57654, 57836, 56531, 51653, 52020, 57654, 55381, 52020, 55572, 70094, 61618, 52020, 66311, 55920, 56511, 66311, 57674, 52020, 57654, 54988, 56511, 51012, 52020, 56421, 51054, 51068, 50894, 54287, 54403, 56531, 51237, 52020, 64137, 57308, 52020, 57654, 50882, 70974, 55572, 70094, 60845, 52429, 66311, 55446, 63000, 56769, 50920, 57625, 52429, 57654, 54856, 52429, 56421, 70094, 50882, 53666, 53917, 52429, 57654, 57836, 52429, 57654, 55381, 52429, 55572, 70094, 61618, 52429, 66311, 55920, 50920, 57674, 52429, 57654, 54988, 52429, 56421, 51054, 51068, 50894, 54287, 54403, 52429, 64137, 57308, 52429, 57654, 50882, 73411, 55572, 70094, 60845, 52246, 66311, 55446, 50920, 57625, 52246, 57654, 54856, 53410, 51012, 52246, 56421, 70094 ]
[ 0, 713, 14899, 3495, 3152, 2214, 11, 272, 538, 22750, 1626, 11098, 8, 657, 149, 63, 15352, 30054, 2301, 4, 20, 3459, 8, 21979, 29589, 6, 3152, 6757, 6, 3459, 9590, 6, 8, 32909, 1962, 1572, 7, 1045, 10, 31612, 8, 12298, 5466, 4, 590, 10, 1769, 20889, 9, 24543, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 16, 17407, 30, 5, 5705, 16331, 33215, 16739, 9, 272, 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 ]	[ 59626, 52622, 51570, 50928, 50799, 52622, 67882, 51570, 54485, 51069, 56697, 51205, 50995, 52622, 52534, 51411, 51334, 51178, 51924, 78706, 53423, 51390, 51008, 51893, 56800, 50832, 52927, 51924, 50937, 52004, 51654, 52210, 50964, 50937, 51390, 50987, 51893, 61525, 52396, 51019, 51253, 51334, 50892, 51924, 51212, 51068, 52100, 53173, 50798, 50820, 52354, 51377, 51893, 51178, 52700, 78706, 53423, 52004, 51008, 54280, 56800, 50832, 52927, 70043, 52700, 50937, 54193, 51654, 52950, 51011, 51480, 50798, 52210, 52004, 50987, 54280, 65295, 51415, 51412, 51893, 50892, 52700, 51212, 51068, 52100, 53173, 50798, 50820, 54272, 51377, 51334, 51178, 51924, 78706, 53423, 51390, 51008, 51893, 56800, 50832, 52927, 51924, 50937, 52004, 51654, 52210, 50945, 50987, 51390, 50987, 51893, 61525, 52396, 51213, 51480, 51334, 50892, 51924, 51212, 51068, 52100, 53173, 50798, 50820, 52563, 51241, 51209, 51310, 51390, 71941, 52437, 50832, 52927, 51069, 51363, 51590, 64132, 52210, 51096, 51221, 51334, 56777, 52396, 51390, 51111, 51068, 52100, 53173, 51205, 57685, 50820, 52534, 51411, 51334, 51178, 51924, 78706, 54925, 51829, 51079, 52328, 61544, 51982, 51210, 52463, 51174, 51390, 51008, 51893, 56800, 50832, 52927, 51924, 50937, 52004, 51654, 57201, 52328, 68630, 52836, 57997, 52463, 51753, 51982, 51481, 50964, 50937, 51390, 50987, 51893, 61525, 52396, 52328, 51008, 51019, 51253, 51334, 50892, 51924, 51212, 51068, 52100, 57150, 51829, 51142, 53462, 50820, 50799, 53329, 50972, 52463, 51481, 50945, 51377, 51893, 51178, 52700, 78706, 58158, 52836, 71437, 55193, 75912, 52004, 51008, 54280, 56800, 50832, 52927, 53329, 51174, 70043, 52700, 50937, 54193, 51654, 56802, 54753, 51481, 57876, 51480, 50798, 52210, 52836, 51079, 55193, 51481, 52004, 50987, 54280, 61525, 52396, 52463, 50933, 51415, 51412, 51893, 50892, 52700, 51212, 51068, 52100, 57150, 53329, 51051, 50799, 52328, 50974, 51133, 51377, 51334, 51178, 51924, 78706, 54925, 51829, 51074, 50422, 51982, 51174, 52463, 51365, 50423, 51390, 51008, 51893, 56800, 50832, 52927, 52836, 50972, 51924, 50937, 52004, 51654, 57201, 52328, 73505, 52463, 50972, 51982, 51174, 50945, 50987, 51390, 50987, 51893, 61525, 52396, 51829, 50838, 52328, 50978, 51213, 51480, 51334, 50892, 51924, 51212, 51068, 52100, 53173, 50798, 50820, 50799, 51982, 51310, 50953, 51241, 51209, 51310, 51390, 71941, 52437, 50832, 52927, 51069, 51363, 51590, 64132, 57201, 52333, 56350, 51829, 51254, 51096, 51221, 51334, 56777, 52396, 51982, 51079, 51390, 51111, 51068, 52100, 53173, 51205, 57685, 50820, 50799, 56170, 51051, 50964, 51310, 51332, 51677, 50988, 51310, 50885, 51312, 71770, 51209, 51189, 52358, 55614, 50909, 51312, 51039, 52641, 51829, 51008, 51953, 50851, 50909, 51254, 77734, 50885, 51470, 54161, 52139, 52927, 53455, 50851, 50964, 51056, 50988, 51310, 50885, 51283, 50868, 51283, 51334, 51267, 52358, 51949, 57004, 50909, 51310, 50437, 56026, 52691, 56170, 50912, 52093, 50439, 54890, 55103, 56026, 50905, 51953, 50933, 51829, 50933, 50964, 50937, 51209, 51351, 52358, 51949, 57723, 61384, 52985, 51019, 50978, 50988, 51312, 50885, 51199, 71770, 54161, 52139, 57150, 50909, 51199, 51068, 53173, 56026, 51346, 51829, 50827, 51019, 50978, 54967, 76641, 50799, 52301, 51051, 50945, 51241, 51164, 51677, 50946, 51145, 78007, 50872, 51310, 51256, 51115, 52358, 55614, 75971, 50418, 54890, 50974, 51039, 52641, 51829, 56062, 51044, 52139, 57286, 51859, 52739, 52301, 50851, 50945, 62033, 51254, 75814, 50885, 51470, 51334, 50943, 55418, 51949, 52742, 51011, 51253, 62443, 50885, 51312, 77548, 52358, 56068, 71972, 50443, 51859, 50851, 51829, 53086, 51229, 51177, 54164, 52743, 51415, 51480, 50946, 51312, 50885, 51199, 77548, 51256, 51203, 54161, 52139, 57150, 74366, 51068, 53173, 52358, 76641, 54272, 51417, 51332, 51677, 50988, 51310, 50885, 51312, 71770, 51366, 51203, 52358, 55614, 56170, 51174, 50909, 51312, 50420, 51334, 51337, 55239, 51829, 51051, 51953, 50851, 50909, 51254, 77734, 50885, 51470, 51366, 51212, 54161, 52139, 52927, 50988, 51310, 50885, 51199, 50868, 51199, 51209, 51003, 52358, 51949, 57004, 56170, 51051, 50909, 79881, 60616, 51049, 54735, 61384, 71892, 50945, 50987, 74878, 50868, 51470, 50885, 51824, 51334, 50905, 52358, 51949, 57013, 60616, 50901, 52301, 60333, 51953, 51174, 51829, 50838, 51213, 51480, 50988, 51312, 64060, 63299, 51366, 51534, 54161, 52139, 57150, 63788, 50978, 72537, 51068, 53173, 60616, 62641, 53680, 50308, 51470, 50885, 51824, 54967, 51949, 57077, 53455, 50955, 52563, 51241, 50988, 51310, 73552, 77643, 51408, 50972, 52358, 55614, 50935, 51312, 50420, 61384, 50933, 51676, 50857, 52333, 50840, 51982, 50904, 53076, 50972, 55239, 51676, 50857, 52333, 50840, 51982, 50904, 50935, 51254, 68161, 50848, 51470, 51229, 51058, 54161, 52139, 52927, 51069, 50981, 50988, 51310, 50848, 51283, 50847, 51283, 51229, 51775, 51893, 51775, 52358, 51949, 57004, 50935, 76810, 78086, 50867, 51982, 50941, 52093, 50444, 51676, 50813, 52333, 50813, 51982, 50851, 51096, 51377, 51209, 50974, 51924, 50972, 52358, 51949, 52743, 50988, 51312, 50848, 51199, 77643, 51256, 50972, 51390, 50972, 54161, 52139, 57150, 50935, 51199, 51068, 53173, 51205, 50974, 54967, 76641, 50799, 56170, 51051, 50964, 51742, 51332, 51677, 50988, 51310, 50885, 51312, 71770, 51209, 51204, 51334, 51115, 52358, 55614, 50909, 51312, 51039, 52641, 51829, 51008, 51953, 50851, 50909, 51254, 77734, 50885, 51470, 54161, 52139, 52927, 53455, 50851, 50988, 51310, 50885, 51199, 50868, 51199, 51209, 51446, 52358, 51949, 57004, 54890, 51423, 50909, 79881, 56170, 50912, 52093, 50444, 54890, 50933, 51953, 50933, 51829, 50933, 50964, 50937, 74878, 50868, 51470, 50885, 51824, 51334, 51310, 52358, 51949, 57723, 54890, 60333, 51019, 51253, 50988, 51312, 64060, 63299, 51366, 51109, 54161, 52139, 57150, 72537, 51068, 53173, 54890, 51199, 51829, 50827, 50909, 53680, 50308, 51470, 50885, 51824, 54967, 76641, 50799, 52301, 51051, 50945, 51241, 51164, 51677, 50946, 51310, 50885, 51312, 77548, 52358, 55614, 71972, 50418, 56026, 50851, 51039, 58092, 54890, 68033, 51829, 50874, 72297, 75814, 50885, 51470, 54161, 52139, 57286, 51859, 52739, 52301, 50851, 70043, 50946, 51310, 50885, 51199, 50872, 51199, 51334, 51295, 55418, 51949, 57004, 71972, 57876, 51253, 52358, 58829, 51859, 50851, 51829, 53086, 69501, 50872, 51470, 50885, 51824, 51229, 51233, 54164, 52743, 51415, 51480, 50946, 51312, 50885, 51199, 77548, 51256, 51363, 54161, 52139, 57150, 74366, 51068, 53173, 54967, 76641, 54272, 51417, 51332, 51677, 50988, 51310, 50885, 51312, 71770, 51334, 51677, 51209, 51218, 52358, 55614, 56170, 51174, 50909, 51312, 51039, 52641, 51829, 51051, 51953, 50851, 50909, 51254, 77734, 50885, 51470, 54161, 52139, 52927, 50988, 51310, 50885, 51283, 50868, 51283, 51366, 51109, 52358, 51949, 57004, 56170, 51051, 50909, 76810, 60616, 50844, 52093, 50440, 61384, 69877, 50945, 50987, 51209, 51654, 51044, 51949, 57013, 52301, 51051, 50446, 60616, 55514, 63788, 50838, 51953, 51174, 51829, 50838, 51213, 51480, 50988, 51312, 50885, 51199, 71770, 54161, 52139, 57150, 50909, 51199, 51068, 53173, 60616, 50943, 54967, 76641, 79255, 50904, 52333, 50891, 51982, 50907, 50953, 51241, 50988, 51312, 73552, 77643, 51590, 50873, 52358, 55614, 50935, 51312 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 8787, 15229, 30853, 23, 10, 7212, 20889, 11, 381, 538, 4, 20, 6755, 12547, 1239, 5, 483, 6, 2800, 30, 5, 4066, 23225, 9, 2342, 4467, 6, 17691, 28430, 6, 9590, 3863, 6, 8, 6168, 3540, 4, 590, 10, 16331, 33215, 16739, 9, 163, 6, 381, 6, 83, 6, 8, 381, 6, 24, 7630, 6568, 10, 1472, 9, 4149, 8, 11926, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4391, 4, 20, 204, 73, 306, 86, 6543, 1639, 10, 5204, 4811, 13, 5, 930, 7, 1119, 2115, 6, 3284, 2351, 41, 9066, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50439, 53064, 51333, 54536, 51330, 55465, 73786, 53064, 50974, 54536, 51079, 55465, 51079, 50799, 52196, 51148, 53389, 52140, 58890, 51592, 55465, 51703, 54670, 51703, 54246, 51748, 50442, 53064, 51709, 54536, 51806, 55465, 52188, 50453, 52196, 51253, 55465, 51806, 54670, 51806, 50799, 53339, 51412, 54670, 51852, 55826, 51852, 50425, 53339, 51878, 53389, 52727, 58890, 51243, 54670, 51447, 55826, 52263, 54246, 53233, 50446, 53916, 51749, 54668, 51965, 52177, 53060, 52263, 54668, 52431, 50418, 54012, 51535, 50439, 52601, 51448, 53389, 52727, 58890, 51922, 55455, 52263, 50457, 53916, 51627, 54670, 52263, 54668, 51965, 79254, 53339, 51535, 53013, 52263, 54668, 52263, 50450, 54012, 52071, 53389, 52727, 58890, 52727, 55465, 52431, 54668, 52783, 54246, 58651, 50796, 50441, 54670, 52263, 50442, 55465, 51961, 50443, 53916, 51283, 50461, 52196, 51627, 57633, 52727, 65466, 52727, 55465, 52263, 55455, 51965, 66243, 52541, 51749, 55727, 52263, 55455, 52263, 50454, 52196, 51310, 55465, 51965, 55455, 51965, 59412, 52196, 51310, 55430, 55490, 55120, 54171, 53013, 51965, 55455, 51671, 50444, 53339, 51680, 53013, 51447, 59412, 53916, 51097, 54670, 51330, 55455, 51330, 50437, 52601, 51742, 62146, 54573, 60630, 53866, 55455, 52783, 59766, 53142, 52478, 53916, 50932, 54670, 52188, 50428, 53339, 51709, 53013, 51806, 55455, 51447, 50438, 52196, 51534, 55465, 51852, 50449, 52196, 51080, 56617, 51922, 57921, 51748, 55465, 51447, 54670, 52431, 54246, 52829, 60212, 52541, 53280, 55727, 51965, 50442, 53064, 51806, 55444, 51806, 53013, 51806, 50457, 53064, 50978, 55444, 51142, 53013, 51142, 51601, 52196, 51803, 50711, 50289, 52720, 59439, 52988, 56847, 52988, 54536, 52263, 55465, 51447, 50442, 53064, 51199, 54536, 51806, 55465, 51806, 50453, 52196, 51480, 55465, 52188, 54670, 52188, 50799, 53339, 51423, 54670, 51797, 55826, 51797, 50425, 53339, 51627, 59439, 52503, 56847, 52727, 54670, 51671, 55826, 52783, 50446, 53916, 51535, 54668, 51965, 52177, 54668, 52783, 50418, 54012, 51535, 53060, 52263, 50437, 52601, 51535, 59439, 52988, 56847, 52988, 55455, 52263, 50457, 53916, 51878, 54670, 51965, 54668, 51965, 75695, 53339, 51878, 53013, 52263, 54668, 52263, 50450, 54012, 52222, 53389, 52988, 58890, 52988, 55465, 52783, 54668, 52783, 54246, 58651, 50796, 50442, 53916, 51283, 55465, 52263, 54670, 52263, 50461, 52196, 51535, 57633, 52503, 65466, 52727, 55727, 52263, 53699, 52263, 58699, 53201, 50796, 50434, 52541, 51878, 55727, 52263, 53699, 52263, 50455, 52196, 51310, 55727, 51965, 53699, 51965, 69341, 52196, 51749, 56617, 52503, 57921, 52727, 54670, 55844, 54668, 52263, 50446, 53339, 52783, 55826, 52263, 53069, 53060, 52263, 50427, 53916, 51419, 50440, 52601, 51742, 53013, 55844, 55455, 52431, 52591, 53339, 51709, 50430, 52196, 51380, 56617, 52147, 57921, 52212, 54670, 52263, 50441, 52541, 51330, 50453, 52196, 52783, 53389, 53866, 58890, 53866, 55465, 52783, 54670, 52783, 58916, 53588, 50796, 50444, 53064, 50981, 58391, 52188, 54670, 51330, 54246, 51466, 50460, 53064, 50892, 58391, 58643, 54670, 55844, 54246, 50984, 52478, 50628, 53064, 52168, 54012, 51790, 56617, 53588, 57921, 53142, 64616, 52783, 54246, 53201, 50442, 70873, 53064, 51576, 53916, 51253, 54668, 52188, 50454, 53064, 51709, 53339, 51253, 55826, 51806, 51601, 53064, 50904, 53916, 51003, 54668, 77008, 52601, 51452, 67792, 57820, 56617, 55490, 57921, 54171, 55455, 52263, 54668, 52783, 50455, 53916, 51312, 54670, 52188, 55826, 51806, 51809, 53339, 51199, 53013, 51852, 55455, 51806, 50427, 52196, 50915, 55465, 52188, 54670, 51806, 50438, 52541, 51448, 55727, 51965, 53013, 51447, 50461, 67792, 55812, 52196, 51448, 54536, 52263, 55465, 52263, 54246, 54228, 50796, 50433, 67792, 54532, 53780, 51878, 54536, 52263, 52915, 52263, 54246, 51703, 50454, 52695, 54532, 67792, 53486, 54536, 52263, 55727, 52431, 54649, 52519, 59412, 53064, 51961, 55444, 52263, 54246, 52441, 50444, 53064, 50915, 58391, 51330, 54670, 51330, 54246, 51576, 50460, 53064, 50892, 58391, 50912, 54670, 53142, 54246, 50822, 53069, 53064, 52980, 54012, 51742, 56617, 51592, 57921, 51939, 58391, 55174, 64616, 51447, 54246, 51313, 50449, 53064, 52378, 53916, 51253, 54668, 51806, 50460, 53064, 52378, 53339, 51775, 55826, 52188, 55753, 53064, 51333, 53916, 51003, 54668, 51806, 50432, 54012, 50981, 67792, 57820, 56617, 52335, 57921, 52062, 55455, 51749, 54668, 52015, 50443, 52601, 51318, 50799, 53916, 50995, 54670, 51484, 55826, 51381, 50423, 53339, 51679, 53013, 51542, 55455, 51381, 50433, 52196, 51277, 55465, 51097, 54670, 50932, 50445, 52196, 51381, 55727, 51477, 53013, 51283, 50460, 52541, 51008, 52478, 67792, 53280, 52541, 52263, 56617, 52407, 57921, 51878, 55727, 51878, 53013, 51477, 54246, 52598, 50438, 67792, 52519, 52196, 51448, 57633, 52598, 65466, 51244, 54536, 51749, 53013, 51749, 54246, 52263, 50457, 52032, 51244, 67792, 52916, 53817, 51490, 56199, 51145, 53013, 55408, 54670, 51939, 54246, 52140, 50796, 50430, 53339, 51677, 55148, 51314, 59191, 51183, 50452, 67792, 57941, 67792, 52011, 54670, 51330, 54246, 51576, 52478, 67792, 54618, 67792, 51365, 54670, 51142, 54246, 64999, 67792, 71133, 67792, 52441, 54670, 53142, 54246, 52256, 50431, 53064, 51709, 50441, 67792, 52519, 52541, 51627, 53541, 51878, 61277, 51562, 53013, 50995, 54246, 51466, 50461, 67792, 54557, 50799, 52196, 51535, 53389, 52263, 58890, 51397, 53013, 51419, 54246, 51965, 50434, 53916, 51244, 67792, 54171, 55148, 52727, 59191, 51293, 53013, 51293, 54246, 51671, 50458, 53339, 51922, 50796, 50796, 50435, 53064, 51333, 50452, 53064, 51277, 50459, 52196, 52783, 50711, 50289, 54373, 53389, 54573, 58890, 52431, 50460, 52225, 54373, 52225, 51801, 53828, 51801, 52033, 54373, 55465, 51447, 54536, 51447, 54246, 63712, 51266, 54373, 51266, 51801, 51733, 51801, 51301, 54373, 50796, 50439, 53064, 51199, 50440, 54536, 77131, 55465, 51753, 50449, 52196, 51312, 55465, 51254, 54670, 51254, 50460, 53339, 51534, 54670, 51142, 55826, 51797, 57731, 53339, 52598, 53389, 54573, 58890, 53866, 54670, 53142, 55826, 51878, 50443, 53916, 51749, 54668, 51477, 51601, 54012, 51310, 53060, 51448, 54668, 52140, 50433, 52601, 51397, 53389, 53588, 51656, 52337, 52430, 52337, 52430, 52121, 55815, 52121, 58890, 53142, 55455, 51419, 51113, 52337, 51284, 52337, 51284, 52121, 52487, 52121, 50454, 53916, 51627, 54670, 51283, 54668, 51961, 59412, 53339, 51637, 53013, 51542, 54668, 51965, 50443, 54012, 52222, 53389, 55776, 58890, 55776, 55465, 51803, 54668, 52783, 54246, 51671, 61627, 53916, 51283, 55465, 52263, 54670, 51447, 50457, 52196, 51627, 57633, 56599, 65466, 56599, 55727, 51965, 53699, 51965, 58699, 55597, 79254, 52541, 51749, 55727, 51961, 53699, 51961, 50449, 52196, 51477, 55727, 52263, 53699, 51965, 55753, 52196, 51749, 56617, 56599, 57921, 56599, 54670, 55844, 54668, 52263, 50440, 53339, 51680, 55826, 51965, 50461, 53060, 52263, 56020, 53916, 51419, 50435, 52601, 51742, 53013, 53233, 55455, 53142, 51601, 53339, 54869, 52196, 51484, 56617, 52440, 57921, 52147, 54670, 52263, 50436, 52541, 50932, 50448, 52196, 52140, 53389, 52212, 58890, 52212, 55465, 52783, 54670, 52783, 58916, 53588, 50455, 51883, 50984, 51794, 50984, 51301, 71490, 51883, 50984, 51794, 50984, 51301, 50984, 53069, 51883, 50984, 51794 ]
[ 0, 4688, 20425, 5175, 19834, 4246, 2662, 271, 6, 6755, 12547, 6, 38668, 2236, 6, 21072, 6, 8, 2342, 4467, 6, 2351, 10, 25306, 5466, 19, 10, 11739, 9, 814, 8, 15073, 4, 8504, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 3136, 23, 41, 12447, 1001, 20889, 6, 22690, 10, 33215, 16739, 9, 211, 119, 6, 230, 401, 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 ]	[ 57739, 50791, 50838, 51544, 50974, 51570, 50974, 52320, 50974, 57739, 50755, 50335, 51080, 50755, 50338, 50873, 50755, 50342, 52025, 72847, 57410, 50755, 50338, 50914, 50755, 50345, 55574, 50426, 50755, 50342, 51391, 50432, 50755, 50340, 50807, 50755, 50328, 56692, 64619, 51314, 50755, 50338, 51295, 50444, 50755, 50342, 51003, 50755, 50345, 52167, 61759, 51627, 50450, 50755, 50335, 56711, 50755, 50335, 51376, 50755, 50337, 50943, 50755, 50349, 51183, 50799, 50755, 50333, 50892, 50755, 50340, 54177, 50755, 50337, 51127, 50755, 50340, 58309, 50755, 50347, 53024, 50755, 50340, 56217, 50755, 50333, 50915, 50755, 50345, 51337, 50438, 50755, 50331, 50892, 50755, 50343, 52815, 50755, 50330, 50892, 50755, 50342, 53794, 50755, 50328, 50981, 50755, 50340, 50807, 50755, 50342, 54481, 50755, 50330, 50892, 50755, 50342, 50805, 50799, 50755, 50328, 50932, 50755, 50331, 51310, 50755, 50338, 51253, 50755, 50340, 51013, 50415, 74075, 52151, 50426, 72847, 50981, 50755, 50338, 62138, 50755, 50347, 50995, 50755, 50335, 66744, 50755, 50338, 50943, 50755, 50342, 52518, 50444, 50755, 50331, 50915, 50755, 50343, 51400, 50450, 50755, 50347, 50873, 50755, 50335, 61157, 50755, 50342, 55293, 64013, 54171, 60028, 55490, 61759, 51945, 50755, 50335, 50959, 50755, 50342, 51991, 50459, 50755, 50334, 52335, 76501, 52182, 51058, 59308, 50974, 50755, 50335, 50905, 50755, 50342, 59435, 52155, 51058, 59308, 51254, 60028, 50905, 50755, 50337, 50893, 50799, 52315, 51380, 59308, 51310, 64619, 51310, 50755, 50338, 50807, 50755, 50342, 54869, 52315, 51380, 50755, 50344, 51851, 61759, 51318, 50755, 50342, 76980, 50755, 50345, 72605, 64619, 50995, 50755, 50338, 52424, 52315, 51380, 50755, 50302, 52782, 50444, 64013, 51318, 64619, 51330, 61759, 50981, 50755, 50342, 51318, 50755, 50344, 60678, 51752, 51058, 50755, 50335, 58843, 52315, 51058, 64619, 50892, 50755, 50338, 50879, 50799, 52155, 51097, 59455, 50995, 60028, 51159, 60792, 51183, 50755, 50337, 51285, 50755, 50344, 55382, 53124, 51380, 59455, 50914, 60028, 50984, 50755, 50340, 50981, 50433, 59308, 58346, 52182, 51380, 59308, 51159, 50755, 50335, 50914, 50755, 50342, 51003, 50441, 50755, 50339, 62622, 64619, 51079, 50755, 50345, 63050, 52182, 51058, 59308, 50905, 64619, 51079, 50755, 50330, 51576, 50755, 50335, 50915, 50755, 50342, 54771, 52155, 51058, 60028, 50886, 60792, 50838, 50755, 50337, 50849, 50799, 52315, 51380, 50755, 50338, 51496, 50755, 50342, 51097, 50755, 50345, 50981, 59308, 51452, 64619, 70506, 50755, 50302, 52782, 50426, 52315, 51380, 50432, 64619, 51115, 50755, 50342, 51109, 50755, 50333, 51134, 50755, 50338, 51343, 50438, 52315, 51380, 50444, 64013, 51477, 50755, 50342, 57991, 51752, 51380, 59308, 50892, 50755, 50335, 59827, 59308, 50905, 64619, 50849, 50755, 50338, 50923, 50799, 52155, 51097, 60792, 51047, 50755, 50337, 51091, 50755, 50344, 51312, 50415, 59455, 51312, 50416, 60028, 77399, 53124, 51058, 59455, 50889, 60028, 50905, 50755, 50340, 57421, 52182, 51058, 59308, 50892, 50755, 50335, 66744, 52182, 51058, 59455, 50867, 59308, 50914, 50755, 50339, 54071, 50441, 50755, 50345, 53096, 50444, 52182, 51058, 64619, 58959, 52182, 51058, 52182, 51058, 59308, 51058, 50755, 50335, 50889, 50755, 50342, 54509, 52155, 51058, 60028, 50974, 50755, 50337, 50849, 50755, 50344, 51432, 50799, 52315, 51380, 50755, 50342, 51097, 64619, 51115, 50755, 50338, 50795, 50755, 50345, 72497, 50755, 50302, 54848, 50755, 50338, 51631, 52315, 51380, 61759, 51310, 50755, 50338, 50845, 50755, 50342, 51310, 50432, 64619, 51115, 50755, 50338, 51013, 50755, 50345, 65184, 52315, 51380, 50444, 61759, 51115, 59308, 55811, 50450, 51752, 51058, 50755, 50335, 51253, 50755, 50342, 51043, 50755, 50345, 66614, 52315, 51058, 50755, 50338, 50795, 64619, 50892, 50799, 52155, 51097, 59455, 51097, 60028, 51127, 50755, 50341, 50941, 50755, 50337, 51274, 50416, 50755, 50340, 70304, 50755, 50341, 51166, 50755, 50344, 54278, 53124, 51380, 59455, 51043, 50755, 50333, 57421, 50755, 50335, 58952, 59455, 54123, 52182, 51380, 50755, 50342, 50981, 50755, 50299, 51490, 59308, 62682, 64619, 64533, 52182, 51058, 50755, 50342, 50905, 59308, 50938, 64619, 59435, 52155, 51058, 59308, 50901, 60028, 50959, 50755, 50337, 51060, 50755, 50341, 50984, 50799, 52315, 51380, 74075, 51312, 59308, 50943, 50755, 50331, 51056, 50755, 50338, 51242, 50420, 50755, 50342, 51210, 50423, 50755, 50338, 51742, 50426, 52315, 51380, 59308, 51103, 50755, 50331, 51330, 50755, 50335, 50914, 50755, 50342, 57937, 52315, 51380, 74075, 51490, 64619, 51333, 50755, 50342, 51328, 50447, 50755, 50342, 55634, 51752, 51380, 58113, 50981, 50755, 50335, 50943, 50755, 50340, 50807, 50799, 52155, 51380, 59455, 51077, 60028, 50914, 50755, 50344, 51242, 50755, 50337, 50807, 50755, 50340, 57437, 50755, 50341, 65933, 52155, 51380, 60028, 50889, 50755, 50337, 51013, 50755, 50340, 68766, 50755, 50341, 51824, 50755, 50344, 69397, 52315, 51380, 64619, 51101, 50755, 50338, 50924, 50755, 50340, 50978, 50755, 50342, 50907, 59455, 64486, 60028, 50959, 50755, 50338, 51798, 51752, 51775, 64619, 51051, 50755, 50338, 50924, 50755, 50340, 51090, 58113, 58705, 64619, 50907, 50755, 50337, 67419, 64619, 51252, 50799, 52315, 51749, 59308, 51742, 64619, 50892, 50755, 50338, 51343, 50755, 50342, 50915, 50755, 50345, 57410, 64619, 79416, 61759, 51058, 50755, 50342, 53705, 51752, 51244, 58113, 51101, 61759, 50905, 50755, 50340, 51362, 50438, 64619, 64632, 64013, 51115, 58113, 51008, 50755, 50342, 51003, 61759, 55247, 59308, 54771, 52155, 51244, 59308, 50974, 60028, 51103, 50755, 50337, 51551, 50755, 50344, 51097, 50799, 59455, 60115, 50755, 50301, 51466, 50421, 50755, 50341, 74907, 50755, 50333, 50915, 50755, 50340, 53052, 51752, 51058, 58113, 56692, 52161, 51008, 63953, 51079, 50755, 50331, 51016, 50755, 50338, 51177, 50755, 50343, 52692, 51596, 51008, 50755, 50342, 50795, 61759, 54323, 51752, 51328, 58113, 50901, 61759, 50892, 50755, 50340, 50896, 50755, 50342, 52961, 51596, 51008, 50755, 50342, 51060, 61759, 50866, 50755, 50337, 51043, 58113, 50987, 72849, 51328, 50755, 50344, 51365, 58113, 50943, 61759, 50844, 50755, 50340, 51362, 50420, 52315, 51008, 64619, 51254, 50755, 50338, 55035, 52315, 52015, 50755, 50342, 51174, 64619, 50901, 50755, 50338, 51196, 50432, 59308, 51183, 64619, 51003, 50755, 50335, 50889, 50755, 50342, 53264, 74075, 71158, 64619, 51074, 50755, 50342, 53567, 50755, 50338, 50892, 50755, 50345, 51166, 64619, 56711, 52155, 51244, 50755, 50341, 51079, 60028, 51127, 50755, 50337, 50896, 50799, 50755, 50340, 59288, 50755, 50337, 50924, 50755, 50340, 70236, 50755, 50340, 53052, 51752, 51058, 50755, 50340, 50915, 58113, 56692, 52161, 51008, 50755, 50331, 50893, 50755, 50338, 51101, 50755, 50343, 56209, 51596, 51008, 61759, 51242, 50445, 50755, 50342, 63112, 51752, 51328, 50755, 50328, 50943, 50755, 50335, 51108, 50755, 50340, 52931, 51596, 51008, 58113, 51003, 50755, 50342, 51111, 72849, 51328, 59308, 51662, 50755, 50340, 51472, 50755, 50344, 52192, 50420, 52315, 51008, 64619, 50987, 58113, 50905, 50755, 50338, 51364, 50424, 52182, 54088, 50426, 52315, 51749, 64619, 51358, 50432, 50755, 50335, 56389, 50755, 50342, 50838, 50755, 50338, 55885, 61759, 51562, 50450, 52182, 51775, 59308, 50995, 50755, 50335, 54771 ]
[ 0, 713, 8787, 3152, 15229, 11, 211, 3694, 16, 17407, 30, 63, 20425, 8, 15352, 30054, 2574, 6, 19, 12577, 2933, 8, 9066, 3423, 4, 20, 81, 9756, 8669, 1239, 5, 483, 6, 7513, 30, 41, 6168, 3540, 6, 3459, 9590, 6, 21072, 6, 8, 3459, 13305, 4, 8504, 11, 10, 132, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 178, 5285, 20889, 6, 4246, 10, 33215, 16739, 9, 211, 6, 381, 406, 6, 8, 274, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 66702, 50432, 53707, 50805, 50799, 52947, 57908, 51061, 51116, 50427, 51193, 51095, 50428, 51185, 51111, 50435, 51061, 52599, 51546, 54134, 51185, 54207, 51193, 53668, 51061, 52741, 51557, 52961, 51193, 50805, 51185, 50805, 50799, 53707, 54243, 51118, 50805, 51061, 69728, 52605, 51616, 53263, 51118, 52599, 63941, 51023, 54134, 51193, 54207, 51193, 53668, 51061, 52741, 51193, 53987, 51023, 53920, 51061, 53848, 51118, 50808, 50799, 66410, 53707, 50808, 51118, 50808, 63941, 51023, 54275, 66410, 52047, 51221, 51083, 51221, 51020, 51221, 51208, 76186, 51083, 50808, 80003, 52559, 51763, 54986, 51083, 52599, 51083, 50808, 80003, 54134, 64344, 65428, 51092, 54207, 51089, 50808, 65428, 51092, 53668, 51089, 50808, 65428, 51092, 52741, 51089, 50808, 65428, 51092, 53987, 69878, 80003, 53920, 51083, 50808, 80003, 53848, 51401, 50808, 50799, 63512, 50910, 51321, 69392, 52947, 50910, 51321, 60853, 51557, 50910, 51321, 56382, 51341, 74167, 67480, 51341, 50808, 51281, 52711, 51341, 52596, 51341, 50808, 51281, 53987, 76087, 51193, 53920, 51341, 50873, 51281, 50873, 61245, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 52734, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 53184, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 52450, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 53847, 51245, 50833, 51245, 50833, 51593, 50833, 51593, 50833, 51704, 55579, 52559, 51497, 50873, 51497, 50873, 51839, 50873, 51839, 50873, 52237, 57652, 50805, 50799, 53371, 51116, 51409, 51116, 51263, 51116, 53371, 53090, 51409, 53090, 51263, 53090, 51188, 53090, 51245, 53090, 53723, 51654, 70607, 51321, 56909, 51263, 52450, 51497, 53363, 53723, 52504, 60478, 52605, 51321, 52718, 53723, 58689, 51321, 52815, 51321, 52985, 53723, 52504, 60478, 52961, 51321, 50838, 50799, 53723, 58689, 51321, 52864, 51321, 52688, 53723, 52504, 60478, 52605, 51321, 52718, 53723, 51747, 66389, 54134, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 52711, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 53668, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 52741, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 53987, 51245, 50833, 51245, 50833, 51593, 50833, 51593, 50833, 51704, 55579, 52643, 51497, 50873, 51497, 50873, 51839, 50873, 51839, 50873, 52237, 57652, 50805, 50799, 66198, 66198, 51347, 50808, 51347, 50808, 51632, 51747, 70607, 53371, 51538, 51409, 51538, 51263, 51538, 53371, 51991, 51409, 51991, 51263, 51991, 51188, 51991, 51245, 51991, 53723, 51654, 55152, 52483, 53723, 52504, 60478, 52605, 51321, 52718, 53723, 58689, 51321, 52815, 51321, 52985, 53723, 52504, 60478, 52961, 51263, 66389, 56517, 51583, 50833, 50799, 53371, 51077, 51409, 51077, 51263, 51077, 51188, 51077, 51497, 51077, 51497, 51077, 53723, 58689, 51321, 52864, 51321, 52688, 53723, 52504, 60478, 52605, 51321, 52718, 53723, 51747, 66389, 54134, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 52711, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 53668, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 52741, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 53987, 51245, 50833, 51245, 50833, 51593, 50833, 51593, 50833, 51704, 55579, 52643, 51497, 50873, 51497, 50873, 51839, 50873, 51839, 50873, 52237, 57652, 50805, 77532, 50808, 79536, 51478, 50808, 51478, 50808, 52607, 52704, 58454, 70869, 50798, 53184, 75358, 75358, 51593, 50808, 51593, 50808, 52241, 52704, 58454, 50808, 52389, 77895, 51497, 50889, 51497, 50889, 51839, 50889, 51839, 50889, 52576, 55107, 55152, 52815, 69885, 69885, 75121, 75121, 70862, 51553, 52596, 57300, 57300, 62462, 62462, 51598, 72575, 52961, 59666, 75875, 62069, 51632, 71470, 75389, 51632, 50846, 50799, 53371, 53090, 53371, 53090, 51409, 53090, 51409, 53090, 51263, 53090, 51263, 53090, 51188, 53090, 51188, 53090, 51245, 53090, 51245, 53090, 51598, 53090, 50798, 60105, 50889, 57211, 51771, 50845, 52003, 50915, 52158, 50915, 56734, 51077, 53168, 51077, 53168, 51151, 54650, 54275, 54650, 52734, 51771, 50932, 54650, 53184, 54650, 69745, 52003, 50932, 52158, 55665, 51771, 50932, 61513, 53263, 61513, 52599, 52003, 50932, 52158, 50932, 54650, 54134, 54019, 52711, 51771, 50932, 53602, 53668, 54650, 73319, 52003, 50932, 52158, 56109, 62044, 50805, 53795, 50805, 53795, 50805, 51771, 50805, 50799, 51771, 50845, 52003, 50915, 52158, 50915, 55516, 51077, 53362, 51077, 53362, 51714, 56496, 54275, 54650, 52734, 51771, 50932, 56496, 53184, 54650, 54243, 52003, 50932, 52158, 55665, 51771, 75986, 70825, 52599, 52003, 50932, 52158, 50932, 56496, 54134, 54650, 52711, 51771, 50932, 56496, 53668, 54650, 73319, 52003, 50932, 52158, 56109, 62044, 50805, 53795, 50805, 53795, 50805, 51771, 58565, 70825, 50808, 50799, 51771, 50845, 52003, 50915, 52158, 50915, 63623, 51264, 56805, 51151, 56805, 51264, 56496, 54275, 60856, 52864, 51771, 76695, 56496, 52450, 52158, 50932, 52003, 51592, 54650, 52605, 51771, 51080, 56496, 52446, 51816, 50838, 54650, 54134, 56496, 52815, 52158, 57060, 61513, 52741, 51816, 50932, 62292, 52961, 51771, 50838, 77176, 50805, 50799, 66837, 51446, 55407, 51627, 55407, 51446, 52647, 51080, 51771, 51080, 51959, 51080, 62292, 70303, 61513, 57807, 66837, 50808, 55407, 50810, 55407, 52599, 66837, 51116, 55407, 51116, 55407, 51116, 52647, 50889, 51771, 50889, 52158, 50889, 77176, 51141, 50447, 66837, 50808, 55407, 50810, 55407, 52741, 66837, 50805, 55407, 50805, 55407, 50802, 52647, 50824, 51771, 50824, 52158, 54098, 55516, 50805, 53362, 50805, 53362, 51184, 50799, 51771, 50805, 52003, 50889, 52158, 50889, 56734, 51077, 53168, 51077, 53168, 63560, 51771, 54869, 52003, 50932, 52158, 50932, 53602, 53847, 53602, 52559, 51771, 50932, 54019, 53263, 54650, 52599, 52003, 50932, 52158, 50932, 54019, 52815, 51771, 50932, 53602, 55082, 52003, 50932, 52158, 56109, 62044, 50805, 53795, 50805, 53795, 50805, 51771, 50805, 50799, 51771, 50845, 52003, 50915, 52158, 50915, 55516, 51077, 53362, 51077, 53362, 64691, 51771, 54869, 52158, 50932, 52003, 51592, 53602, 53847, 53602, 52559, 51771, 51283, 54019, 53263, 54650, 52599, 51816, 50810, 54019, 60132, 52158, 53743, 51816, 51318, 54650, 64712, 51771, 53586, 51890, 50845, 50799, 51771, 50845, 52126, 50915, 52158, 50915, 63623, 51077, 56805, 51077, 56805, 64691, 51771, 54869, 52126, 50932, 52158, 50932, 54650, 53847, 56496, 52605, 51771, 75986, 54650, 52446, 52126, 50932, 52158, 66977, 56496, 52815, 51771, 75102, 61513, 52741, 52126, 50932, 52158, 51243, 62292, 52961, 51771, 50838, 77176, 50805, 50799, 66837, 51446, 55407, 51446, 55407, 51446, 52647, 51077, 51771, 51077, 52795, 70303, 52494, 53263, 66837, 50808, 55407, 50808, 55407, 50808, 53602, 77787, 66837, 50889, 55407, 50889, 52647, 50889, 51771, 51077, 55407, 51264, 50450, 52647, 50889, 50799, 62323, 51116, 53897, 51116, 53897, 51116, 52114, 50889, 52647, 50889, 51771, 74719, 62323, 50808, 53897, 50808, 53897, 52450, 62323, 50889, 53897, 50889, 52114, 50889, 52647, 50889, 51771, 50889, 53897, 51141, 54650, 53912, 52114, 50889, 52647, 50889, 51771, 50889, 54019, 55480 ]
[ 0, 250, 2635, 12, 20764, 14123, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 13305, 6, 21979, 8669, 6, 8, 1515, 21305, 6, 2800, 30, 31391, 1672, 9590, 8, 21072, 4, 20, 19448, 15229, 6, 278, 11, 5, 762, 9, 12608, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 6568, 10, 4845, 119, 27633, 8, 2365, 5466, 6, 442, 24, 10686, 13, 3618, 930, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50796, 55609, 51417, 61308, 51103, 51476, 51742, 51687, 51742, 51327, 51422, 52695, 51095, 52695, 51095, 52695, 61766, 52541, 50857, 52541, 63630, 52541, 59432, 52032, 50942, 52032, 67761, 52032, 58216, 53343, 50943, 53343, 51016, 50427, 53343, 51073, 56618, 51145, 52032, 50807, 52032, 51016, 52032, 69152, 61308, 51295, 50447, 51476, 50943, 50449, 51836, 51060, 51836, 51060, 51836, 51286, 50453, 51687, 51423, 50456, 51327, 50942, 52695, 50822, 52695, 50833, 52695, 61963, 51996, 50800, 51996, 64175, 51996, 74369, 53780, 51692, 53780, 51538, 53780, 51161, 59373, 51417, 57081, 51318, 51687, 50915, 51719, 50995, 51980, 73055, 51687, 50862, 51719, 50855, 51980, 54665, 57081, 51452, 58711, 51145, 51687, 51145, 51719, 51145, 51980, 50918, 50449, 52541, 50911, 52541, 65223, 52541, 50893, 50455, 53780, 50886, 53780, 50812, 53780, 59747, 52541, 71208, 52541, 50822, 52541, 62923, 52665, 50813, 52695, 51534, 52695, 51255, 52695, 50991, 55609, 51417, 61308, 51103, 51476, 51742, 51687, 51742, 51327, 75504, 52541, 50833, 52541, 50925, 50421, 52541, 60342, 52032, 50942, 52032, 75335, 52032, 57499, 53343, 50914, 53343, 51016, 53343, 51016, 56618, 51145, 52032, 51566, 52032, 51016, 52032, 69152, 61308, 51295, 50447, 51476, 50943, 50449, 51836, 65458, 51836, 51158, 51836, 51173, 50453, 51687, 51423, 50456, 51327, 50942, 52695, 50942, 50457, 52695, 50833, 52695, 61997, 51996, 64175, 51996, 50851, 51996, 65922, 52541, 51592, 52541, 51585, 55934, 51417, 55349, 51318, 52102, 50915, 51687, 50995, 51414, 50915, 52109, 50914, 52541, 51585, 50429, 52102, 50862, 51687, 50855, 51414, 50862, 52109, 54665, 55349, 51452, 55827, 51145, 52102, 51145, 51687, 51145, 51414, 51127, 52109, 50918, 50449, 52032, 55260, 52032, 50879, 52032, 50879, 50455, 52541, 54896, 52541, 50813, 52541, 67557, 52032, 63321, 52032, 50833, 52032, 59342, 52695, 52250, 50461, 52695, 52024, 52695, 52024, 57211, 51602, 51397, 61308, 51486, 50417, 51476, 51486, 50420, 51687, 51310, 50423, 51327, 52136, 50435, 51602, 50825, 56618, 51148, 50453, 51980, 51241, 50456, 53171, 51241, 55609, 51535, 51476, 51313, 51327, 50942, 50417, 51687, 67568, 51327, 51095, 50423, 51980, 60713, 51327, 51103, 50435, 53001, 51091, 56618, 51627, 50447, 51687, 57105, 51980, 51121, 50459, 51602, 50813, 55609, 51417, 61308, 51318, 51476, 50915, 51687, 50995, 51327, 73055, 51476, 50862, 51687, 50855, 51327, 54665, 61308, 51452, 56618, 51145, 52957, 50358, 51104, 50358, 51035, 50851, 51476, 51145, 51687, 51145, 51327, 50918, 51572, 60071, 51180, 53229, 55854, 51224, 54772, 52542, 60205, 54659, 52542, 50851, 51647, 60071, 50456, 51289, 51475, 56386, 52542, 50851, 55458, 56924, 52636, 60071, 55458, 50813, 55609, 51562, 54524, 51190, 52054, 62650, 61308, 51103, 55458, 51121, 51402, 60071, 51687, 51312, 51327, 50915, 51039, 62650, 51510, 60071, 51476, 50925, 55458, 50813, 51768, 50882, 60483, 69118, 55458, 50955, 51532, 60071, 51476, 78265, 65745, 50851, 51687, 50905, 51327, 50901, 55458, 56579, 51602, 51420, 60071, 50436, 55458, 51400, 55545, 51127, 54524, 60483, 50851, 56139, 51103, 51572, 60071, 52102, 51312, 51231, 50915, 51414, 51003, 51180, 62650, 51618, 62825, 52542, 51269, 52303, 50925, 55458, 50857, 51955, 50882, 60483, 50851, 52861, 50849, 51647, 60071, 52303, 68429, 62866, 52542, 50851, 52102, 50905, 51231, 50901, 51414, 50905, 55458, 50857, 51621, 60071, 50460, 55458, 51121, 55609, 51417, 54524, 60483, 50851, 61308, 51318, 51476, 50915, 51687, 50995, 51327, 50914, 51402, 60071, 50418, 53037, 50924, 51039, 62650, 51510, 60071, 53037, 52282, 51768, 50882, 60483, 50851, 51532, 60071, 51476, 50862, 51687, 50855, 51327, 52667, 50801, 50810, 65745, 50851, 51556, 60071, 61308, 51452, 56618, 51145, 54524, 60483, 50851, 51476, 51145, 51687, 51145, 51327, 50918, 51572, 67194, 53229, 51269, 51180, 53611, 54714, 50851, 51618, 62825, 69838, 51269, 51955, 50882, 51190, 50994, 67962, 50851, 51647, 67194, 53229, 62082, 62866, 69838, 50851, 51621, 67194, 63130, 51269, 55458, 50862, 55609, 51127, 54524, 60483, 50851, 61308, 51127, 51476, 51391, 51687, 51535, 51327, 51183, 55458, 51111, 51402, 60071, 51039, 62650, 50421, 53037, 50880, 51510, 60071, 50425, 53037, 50806, 51768, 50882, 60483, 50851, 51532, 60071, 50431, 51756, 53308, 65745, 50851, 51556, 60071, 51476, 50833, 56618, 51562, 54524, 60483, 50851, 61308, 51127, 54872, 51391, 51476, 51535, 51719, 51183, 51651, 51047, 50439, 51756, 50865, 51572, 60071, 50443, 52527, 50859, 51180, 62650, 51618, 62825, 52542, 51269, 50448, 52527, 50938, 51955, 50882, 60483, 50851, 51647, 60071, 50455, 55458, 55764, 62866, 52542, 56573, 51602, 51420, 60071, 54872, 50833, 63065, 51417, 54524, 60483, 50851, 56397, 51318, 51303, 50915, 51651, 50995, 51825, 67697, 52861, 51161, 51402, 60071, 51039, 62650, 51510, 60071, 51768, 50882, 60483, 50851, 51532, 60071, 51303, 50862, 51651, 50855, 51825, 52667, 50801, 50810, 65745, 50851, 51556, 60071, 56397, 51452, 62083, 51145, 54524, 60483, 50851, 51303, 51145, 51651, 51145, 51825, 50918, 51572, 67194, 53229, 51269, 51180, 53611, 54714, 50851, 51618, 62825, 69838, 51269, 51955, 50882, 51190, 50994, 67962, 50851, 51647, 67194, 53229, 51269, 52861, 54583, 62866, 69838, 64126, 52861, 50864, 51621, 67194, 63130, 51269, 50461, 52861, 51095, 63065, 51127, 54524, 60483, 50851, 56397, 52121, 51303, 50981, 51414, 51318, 52109, 51417, 51825, 51452, 51402, 60071, 51039, 62650, 51510, 60071, 52280, 50840, 51768, 50882, 60483, 69118, 52280, 50878, 51532, 60071, 50432, 65745, 50851, 62824, 51556, 60071, 50436, 52280, 51157, 62083, 51417, 54524, 60483, 50851, 51572, 60071, 51303, 51241, 51180, 62650, 51414, 51477, 51618, 62825, 52542, 51269, 53037, 50805, 51955, 50882, 60483, 50851, 51327, 50910, 51647, 60071, 51825, 51413, 52387, 57939, 62866, 52542, 50851, 53037, 56277, 50852, 57831, 51269, 52109, 50943, 50461, 52280, 51048, 63065, 51749, 54524, 60483, 50851, 51414, 50959, 51402, 57831, 51269, 51303, 51413, 51039, 52542, 50851, 51414, 55754, 74326, 51269, 51414, 51480, 50424, 52861, 51896, 51768, 50882, 60483, 50851, 51532, 60071, 51327, 52739, 50801, 50810, 65745, 50851, 51556, 60071, 62083, 51448, 52506, 55710, 50851, 51572, 67194, 53229, 51269, 51303, 51025, 51180, 55027, 54714, 50851, 52109, 51330, 51618, 64992, 69838, 51269, 51825, 50942, 51955, 50882, 51190, 50994, 67962, 50851, 52932, 50893, 51647, 67224, 53229, 51269, 51303, 69960, 62866, 69838, 50851, 51825, 50808, 52861, 54846, 51132, 51420, 57798, 63130, 51269, 52109, 50840, 55458, 50855, 63065, 51127, 54524, 60483, 50851, 52102, 51047, 51303, 51148, 52109, 51103, 50415, 59403, 51221, 51402, 60071, 51039, 62650, 51510, 60071, 52280, 51030, 51768, 50882, 60483, 50851, 51532, 60071, 56397, 50991, 52280, 54215, 65745, 67592, 52280, 50910, 51556, 60071, 55511, 51127, 54524, 60483, 50851, 52303, 51047, 52102, 51148, 51651, 51103, 51414, 51103, 52280, 51400, 51572, 60071, 51180, 62650, 51618, 62825, 52542, 51269, 50448, 53037, 51060, 51955, 50882, 60483, 50851, 51647, 60071, 55285, 50991, 50454, 52387, 57939, 62866, 52542, 64126, 53037, 50866, 51621, 60071, 54293, 51127, 54524, 60483, 50851, 56139, 51318, 52303, 50915, 52102, 50995, 51231, 50915, 51414, 50914, 52280, 51692, 51402, 60071, 51039, 62650, 51510 ]
[ 0, 250, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 21979, 8669, 6, 32909, 6, 23338, 33518, 1264, 6, 8, 21979, 9590, 6, 278, 11, 10, 7212, 132, 73, 306, 86, 6543, 8, 5, 762, 9, 230, 10431, 538, 6, 19, 10, 33215, 16739, 9, 274, 10431, 119, 1176, 406, 6, 163, 119, 1176, 406, 6, 230, 10431, 6, 274, 10431, 119, 1176, 406, 6, 8, 274, 6, 2351, 10, 32076, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 66702, 50799, 67347, 51151, 56194, 51359, 50426, 51944, 51194, 51773, 51043, 52435, 79761, 51944, 51134, 51773, 51419, 52435, 67647, 52435, 51233, 51944, 51194, 51773, 77055, 52435, 50942, 51944, 50942, 51773, 50878, 50799, 58748, 53241, 50426, 52027, 50967, 51944, 51215, 51773, 51175, 50434, 52027, 50915, 51944, 50943, 51773, 50915, 50446, 52435, 50830, 51944, 50830, 51773, 57006, 52027, 50967, 51944, 50967, 51773, 51175, 50458, 56922, 50910, 50799, 67347, 51151, 56194, 51359, 50426, 51944, 51194, 51773, 51043, 52435, 79761, 51944, 51134, 51773, 51419, 52435, 67647, 52435, 51233, 51944, 51194, 51773, 77055, 52435, 50942, 51944, 50942, 51773, 50878, 50799, 58748, 53241, 50426, 52027, 50967, 51944, 51215, 51773, 51175, 50434, 52027, 50915, 51944, 50943, 51773, 50915, 50446, 52435, 50830, 51944, 50830, 51773, 57006, 52027, 50967, 51944, 50967, 51773, 51175, 50458, 56922, 50910, 51868, 50940, 51360, 51014, 50799, 67347, 51445, 51506, 51145, 51705, 51291, 51966, 69565, 51008, 53763, 50422, 53763, 50426, 52280, 51177, 51723, 51177, 51515, 51233, 51944, 51233, 52435, 51110, 51773, 51043, 51017, 79675, 51233, 50989, 51233, 51040, 51110, 50906, 51043, 53763, 50427, 50944, 51108, 50939, 51466, 50434, 52280, 51191, 51723, 51191, 52435, 51241, 51515, 51391, 51944, 51391, 51773, 51351, 51040, 51241, 50871, 51391, 50989, 51391, 50906, 51351, 52653, 50438, 51506, 51103, 51705, 71941, 51008, 52653, 50446, 52653, 50450, 52280, 50849, 51723, 50849, 52435, 51194, 51515, 50959, 51944, 51008, 51773, 50878, 51017, 51911, 50305, 51194, 61522, 50989, 51008, 50906, 62017, 50451, 70800, 50939, 51333, 50458, 52280, 52071, 51723, 52071, 52027, 51294, 51944, 51191, 51773, 51191, 50956, 51294, 50989, 51191, 50906, 75263, 50955, 50799, 58748, 51445, 51791, 51077, 51668, 51141, 51324, 69565, 51008, 53763, 50422, 53763, 50426, 52027, 51194, 51944, 51194, 51773, 51178, 50979, 72831, 51194, 50989, 51194, 78122, 53763, 50427, 76891, 50939, 51466, 50434, 52027, 51003, 51944, 50889, 51773, 50807, 51668, 74295, 73450, 58419, 50807, 52653, 50438, 51791, 51077, 51668, 52097, 50798, 51008, 52653, 50446, 52435, 50925, 51944, 50910, 51773, 50830, 51040, 50925, 50989, 50910, 60074, 52653, 50450, 52027, 51175, 51944, 51095, 51773, 72092, 72831, 51175, 50989, 51095, 72481, 52653, 50451, 50944, 50981, 50939, 51330, 50458, 52280, 50800, 51723, 50800, 52027, 50874, 51944, 50874, 51773, 50874, 76599, 74312, 50906, 54447, 50955, 50799, 52527, 50805, 51641, 50805, 58748, 51293, 51791, 51077, 51668, 51080, 51324, 68835, 51008, 53763, 50422, 53763, 50426, 55458, 50849, 53709, 50849, 52027, 51309, 51944, 51423, 51773, 51797, 50979, 72831, 51309, 50989, 51423, 50906, 51797, 53763, 50427, 76891, 50939, 51466, 50434, 51944, 50995, 52027, 50915, 51773, 77245, 71326, 60006, 51097, 52653, 50438, 54598, 50806, 53437, 50806, 51791, 51077, 51668, 77005, 51008, 52653, 50446, 53037, 50924, 52211, 50924, 52435, 50897, 51944, 50955, 51773, 51051, 51040, 50897, 77663, 73699, 52653, 50450, 52027, 51194, 51944, 51043, 51773, 51233, 50979, 72831, 51194, 50989, 51043, 50906, 51233, 52653, 50451, 50944, 50981, 50939, 51330, 50458, 53037, 53435, 52211, 53435, 52027, 50897, 51944, 50942, 51773, 50955, 51668, 72794, 50897, 69874, 50906, 56879, 50955, 50799, 55243, 51945, 51217, 51183, 51493, 50918, 51315, 51945, 50798, 51008, 53763, 50422, 53763, 50426, 51929, 50967, 52027, 51194, 51660, 51194, 51042, 66784, 50967, 50956, 51194, 50916, 51194, 53763, 50427, 76231, 50992, 51097, 50434, 52027, 51003, 51660, 50915, 51929, 72225, 65480, 66751, 50943, 52653, 50438, 51217, 50918, 51493, 52407, 50798, 51008, 52653, 50446, 52435, 50878, 51660, 50959, 51929, 50878, 75184, 67946, 50965, 62017, 50450, 51660, 50967, 51929, 51175, 52027, 51215, 51042, 65480, 50967, 50965, 51175, 50956, 51215, 52653, 50451, 63153, 50992, 51097, 50458, 56922, 51033, 51493, 50863, 51360, 55043, 50955, 50799, 67347, 51445, 51506, 51145, 51705, 50918, 51966, 69565, 51008, 53763, 50422, 53763, 50426, 52280, 50911, 51723, 50911, 51515, 51233, 51944, 51233, 52435, 51110, 51773, 51043, 51017, 79675, 51233, 50989, 51233, 51040, 51110, 50906, 51043, 53763, 50427, 50944, 51108, 50939, 51466, 50434, 52280, 51241, 51723, 51241, 52435, 51241, 51515, 51391, 51944, 51391, 51773, 51351, 51040, 51241, 50871, 51391, 50989, 51391, 50906, 51351, 52653, 50438, 51506, 51103, 51705, 58673, 51008, 52653, 50446, 52653, 50450, 52280, 51060, 51723, 51060, 52435, 51194, 51515, 50959, 51944, 51008, 51773, 50878, 51017, 51911, 50305, 51194, 61522, 50989, 51008, 50906, 62017, 50451, 70800, 50939, 51333, 50458, 52280, 51518, 51723, 51518, 52027, 51294, 51944, 51191, 51773, 51191, 50956, 51294, 50989, 51191, 50906, 75263, 50955, 50799, 58748, 52222, 51791, 51077, 51668, 50918, 51324, 52222, 50798, 51008, 53763, 50422, 53763, 50426, 52027, 51194, 51944, 51194, 51773, 51178, 50979, 72831, 51194, 50989, 51194, 78122, 53763, 50427, 76891, 50939, 51466, 50434, 52027, 51003, 51944, 50889, 51773, 60821, 73450, 58419, 50807, 52653, 50438, 51791, 51077, 51668, 73717, 51008, 52653, 50446, 52435, 50925, 51944, 50910, 51773, 50830, 51040, 50925, 50989, 50910, 60074, 52653, 50450, 52027, 51175, 51944, 51095, 51773, 72092, 72831, 51175, 50989, 51095, 72481, 52653, 50451, 50944, 50981, 50939, 51330, 50458, 52280, 50858, 51723, 50858, 58748, 50897, 51668, 50829, 51324, 55593, 50955, 50461, 57117, 52536, 51234, 52536, 50799, 52280, 51060, 51723, 51060, 52027, 50914, 51515, 50889, 51773, 50943, 52021, 51145, 51261, 51191, 50956, 61581, 58419, 58641, 51008, 53763, 50422, 53763, 50426, 52280, 51158, 51723, 51158, 52027, 50889, 51515, 50889, 51773, 50889, 50979, 66533, 59428, 58419, 50889, 53763, 50427, 72080, 50939, 50995, 50434, 51140, 51008, 52653, 50438, 51756, 51101, 51431, 51101, 51515, 50889, 51614, 50889, 51773, 50889, 52021, 51183, 51261, 51204, 50871, 62525, 58419, 53769, 51008, 52653, 50446, 51760, 50849, 51485, 50849, 52653, 50450, 51614, 50915, 51515, 51267, 51773, 75815, 77014, 58134, 51267, 50906, 50889, 52653, 50451, 68100, 50939, 50932, 50458, 52557, 50925, 51261, 51008, 50997, 55690, 50955, 50799, 52527, 50893, 51641, 50893, 55677, 52500, 52027, 51110, 51944, 51178, 51773, 51194, 51751, 51077, 51560, 51447, 51197, 52500, 50956, 51110, 50989, 51178, 50906, 63477, 51008, 53763, 50422, 52678, 50897, 52314, 50897, 51944, 50807, 52027, 51003, 51773, 73450, 60821, 64292, 51003, 53763, 50426, 68279, 53763, 50427, 70800, 50939, 51097, 50434, 52678, 51356, 52314, 51356, 52027, 50807, 51944, 51016, 51773, 72225, 65287, 70606, 50943, 52653, 50438, 51751, 51356, 51560, 58747, 51008, 52653, 50446, 52435, 50910, 51040, 50910, 52653, 50450, 52027, 51194, 51944, 51110, 51773, 51043, 50979, 66533, 51194, 50989, 51110, 50906, 51043, 52653, 50451, 71537, 50939, 50995, 50454, 51560, 62990, 55677, 50821, 51273, 50839, 51197, 51508, 50955, 76139, 50905, 51744, 50905, 56922, 52536, 52435, 50915, 51660, 50981, 51929, 50914, 52540, 51127, 52318, 51527, 51360, 52536, 51040, 60817, 67680, 56001, 51008, 53763, 50422, 52678, 50938, 52314, 50938, 53763, 50426, 52435, 51003, 51660, 51003, 51929, 63296, 51619, 50305, 65480, 68292, 52959, 51008, 50427, 74028, 50992, 50981, 50434, 52678, 51661, 52314, 51661 ]
[ 0, 250, 15855, 30062, 620, 7085, 2125, 14, 115, 1807, 25, 10, 19834, 13, 41, 9066, 822, 6, 4246, 10, 6755, 12547, 6, 2342, 4467, 6, 326, 5638, 18026, 6, 32909, 6, 8, 1515, 21305, 4, 590, 10, 7212, 20889, 9, 13442, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 16, 278, 11, 5, 762, 9, 163, 428, 538, 8, 24536, 10, 33215, 16739, 9, 163, 428, 6, 12608, 6, 274, 6, 211, 119, 6, 8, 12608, 4, 20, 930, 7630, 6568, 10, 1472, 9, 4149, 6, 814, 6, 8, 9733, 6, 442, 24, 157, 12, 9228, 4560, 13, 25306, 17662, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52695, 50824, 52032, 50824, 51723, 51029, 51641, 51029, 52339, 51029, 51968, 51029, 53397, 51029, 55145, 51029, 51335, 51352, 54480, 51029, 51165, 51029, 51395, 51029, 51811, 51732, 50416, 57644, 55804, 57644, 60861, 57644, 53213, 57644, 57646, 57644, 54381, 57644, 58099, 57644, 52968, 52695, 51029, 57644, 61347, 57644, 54935, 57644, 58221, 57644, 52726, 51968, 50811, 57644, 57485, 51968, 50811, 57644, 54496, 51968, 50811, 57644, 57784, 51968, 50811, 57644, 52952, 51968, 51029, 57644, 61746, 57644, 55092, 57644, 60869, 57644, 52940, 52695, 50802, 57644, 57915, 57644, 55059, 57644, 57795, 57644, 52768, 52695, 50823, 57644, 62161, 57644, 55552, 57644, 59154, 52695, 64776, 57644, 52884, 57644, 58150, 52695, 50823, 51968, 50811, 57644, 54871, 51968, 50811, 57644, 56628, 51968, 50811, 57644, 50811, 50799, 52695, 51029, 51968, 50803, 57644, 62601, 57644, 55804, 57644, 60208, 52339, 60442, 57644, 53213, 51641, 50811, 57644, 57646, 51641, 50811, 52377, 50803, 57644, 54381, 51641, 50811, 57644, 58099, 51641, 50811, 57644, 52968, 51641, 50803, 52178, 50803, 57644, 61347, 57644, 54935, 57644, 58459, 51723, 50803, 52377, 57925, 57644, 52726, 52032, 50802, 57644, 57485, 52264, 50803, 51968, 50803, 57644, 54496, 57644, 57784, 57644, 52952, 53343, 50824, 52336, 50803, 51968, 50803, 57644, 61746, 57644, 55092, 57644, 60681, 52264, 50803, 52339, 60254, 57644, 52940, 57644, 57915, 51641, 50803, 52377, 50803, 57644, 55059, 57644, 57795, 57644, 52768, 53780, 50823, 53916, 50823, 51641, 50803, 52178, 50803, 57644, 62161, 57644, 55552, 57644, 59154, 53780, 50823, 53916, 50823, 51723, 50803, 51968, 59730, 57644, 52884, 51968, 50811, 57644, 58150, 53780, 50823, 53916, 50823, 52264, 50803, 51968, 50803, 57644, 54871, 57644, 56628, 57644, 50811, 50799, 52541, 50823, 53343, 50823, 52336, 50803, 53542, 50803, 52377, 50803, 57644, 62601, 57644, 55804, 57644, 60208, 52541, 50823, 53343, 50823, 52264, 50803, 54461, 50803, 51968, 60442, 57644, 53213, 57644, 57646, 52541, 50823, 53343, 50823, 51641, 50803, 52339, 50803, 52178, 50803, 57644, 54381, 57644, 58099, 57644, 52968, 52695, 50823, 52032, 50823, 51641, 50803, 52701, 51029, 54006, 51029, 57644, 61347, 57644, 54935, 57644, 58459, 52695, 50823, 52032, 50823, 51723, 57925, 57644, 52726, 57644, 57485, 52695, 50823, 52032, 50823, 52264, 50803, 57644, 54496, 57644, 57784, 57644, 52952, 52695, 50824, 52032, 50824, 52336, 50803, 57644, 61746, 57644, 55092, 57644, 60681, 51641, 60254, 57644, 52940, 57644, 57915, 51641, 50803, 57644, 55059, 57644, 57795, 57644, 52768, 52665, 50823, 51996, 50823, 52032, 50823, 51723, 50803, 52339, 50823, 52178, 50823, 52913, 50823, 57644, 50811, 56265, 50817, 51107, 50803, 52602, 50823, 51251, 50823, 51154, 66054, 53472, 62353, 57644, 50811, 53118, 54085, 57644, 50811, 53267, 50817, 51201, 58268, 52665, 50823, 51996, 50823, 52032, 50823, 51723, 50803, 52339, 50823, 52178, 50823, 52913, 50823, 52697, 50817, 52602, 50823, 51251, 50823, 51154, 64776, 57644, 50811, 53000, 52193, 57644, 50811, 54428, 50817, 51394, 57303, 52697, 56995, 52665, 50823, 51996, 50823, 52032, 50823, 51723, 50803, 52339, 50823, 52178, 50823, 52913, 50823, 57644, 50811, 53000, 50817, 52602, 50823, 51251, 50823, 51154, 57239, 57644, 50811, 54428, 50817, 51384, 58055, 54723, 56912, 57644, 50811, 55372, 50817, 67719, 51009, 55145, 50802, 52481, 50802, 51638, 76057, 50802, 51811, 77076, 52339, 50803, 51968, 50803, 55145, 50803, 53121, 50803, 78724, 75200, 51426, 52801, 52339, 50803, 51968, 50803, 55145, 50803, 53121, 50803, 78724, 75200, 51426, 51973, 52339, 51029, 51968, 51029, 55145, 51029, 53121, 51029, 52481, 51029, 51638, 51029, 51426, 60920, 52336, 57310, 51968, 50811, 51866, 50811, 55145, 50811, 53121, 50811, 52481, 50811, 51426, 50811, 51088, 57915, 51968, 50811, 51866, 50811, 55145, 50811, 53121, 50811, 52481, 50811, 51426, 50811, 51088, 59788, 51968, 50811, 51866, 50811, 55145, 50811, 53121, 50811, 52481, 50811, 51426, 50811, 51088, 52768, 51968, 50802, 51866, 50802, 55145, 50802, 53121, 50802, 52481, 76057, 62748, 52325, 52339, 50802, 51866, 50802, 55145, 50802, 53121, 50802, 52481, 50802, 51638, 62748, 50802, 50799, 52264, 50823, 57644, 62601, 57644, 55804, 57644, 60208, 51579, 68159, 57644, 53213, 51968, 50802, 52377, 50802, 56380, 50802, 55515, 50802, 57644, 50811, 52481, 50802, 51638, 50802, 51375, 60449, 51509, 50823, 57644, 54381, 57644, 58099, 57644, 52968, 55558, 51009, 57644, 61347, 57644, 54935, 57644, 58221, 57644, 52726, 51968, 50802, 52377, 50802, 56380, 50802, 55515, 50802, 57644, 50811, 52481, 50802, 51638, 50802, 51375, 59898, 57644, 54496, 57644, 57784, 57644, 52952, 51968, 50802, 52377, 50802, 56380, 50802, 55515, 50802, 57644, 50811, 52481, 50802, 51638, 50802, 51375, 67586, 57644, 55092, 57644, 60869, 57644, 52940, 51968, 50811, 52377, 50811, 56380, 50817, 55515, 50817, 57644, 50811, 52481, 50817, 51638, 50811, 51375, 57915, 51968, 50811, 52377, 50811, 56380, 50817, 55515, 50817, 57644, 50811, 52481, 50817, 51638, 50811, 51375, 55059, 51968, 50803, 52377, 50803, 56380, 50803, 55515, 50803, 57644, 50811, 78724, 75200, 51375, 57891, 57644, 52768, 52336, 50824, 51968, 50823, 51866, 50823, 55145, 50823, 53121, 50823, 57644, 50811, 52481, 50823, 51426, 50823, 51088, 71524, 57644, 55552, 57644, 59154, 51968, 50823, 51866, 50823, 55145, 50823, 53121, 50823, 52481, 50823, 51426, 50823, 51088, 64776, 57644, 52884, 57644, 58150, 51968, 50823, 51866, 50823, 55145, 50823, 53121, 50823, 57644, 50811, 52481, 50823, 51426, 50823, 51088, 57239, 57644, 56628, 57644, 50811, 50799, 52264, 50823, 57644, 62601, 57644, 55804, 57644, 60208, 51579, 68159, 57644, 53213, 51968, 50802, 52377, 50802, 56380, 50802, 55515, 50802, 57644, 50811, 52481, 50802, 51638, 50802, 51375, 60449, 51509, 50823, 57644, 54381, 57644, 58099, 57644, 52968, 55558, 51009, 57644, 61347, 57644, 54935, 57644, 58221, 57644, 52726, 51968, 50802, 52377, 50802, 56380, 50802, 55515, 50802, 57644, 50811, 52481, 50802, 51638, 50802, 51375, 59898, 57644, 54496, 57644, 57784, 57644, 52952, 51968, 50802, 52377, 50802, 56380, 50802, 55515, 50802, 57644, 50811, 52481, 50802, 51638, 50802, 51375, 67586, 57644, 55092, 57644, 60869, 57644, 52940, 51968, 50811, 52377, 50811, 56380, 50817, 55515, 50817, 57644, 50811, 52481, 50817, 51638, 50811, 51375, 57915, 51968, 50811, 52377, 50811, 56380, 50817, 55515, 50817, 57644, 50811, 52481, 50817, 51638, 50811, 51375, 55059, 51968, 50803, 52377, 50803, 56380, 50803, 55515, 50803, 57644, 50811, 78724, 75200, 51375, 57891, 57644, 52768, 52336, 50824, 51968, 50823, 51866, 50823, 55145, 50823, 53121, 50823, 57644, 50811, 52481, 50823, 51426, 50823, 51088, 71524, 57644, 55552, 57644, 59154, 51968, 50823, 51866, 50823, 55145, 50823, 53121, 50823, 52481, 50823, 51426, 50823, 51088, 64776, 57644, 52884, 57644, 58150, 51968, 50823, 51866, 50823, 55145, 50823, 53121, 50823, 57644, 50811, 52481, 50823, 51426, 50823, 51088, 57239, 57644, 56628, 57644, 50811, 50799, 52541, 50823, 52264, 50823, 51702, 73738, 50823, 56542, 50823, 55662, 50823, 53599, 50823, 80156, 51375, 50823, 51201, 73354, 51946, 50823, 51579, 50823, 52384, 50823, 51866, 50823, 53942, 50823, 52560, 50823, 52143, 50823, 51301, 50823, 51088, 56733 ]
[ 0, 250, 15352, 30054, 8, 1372, 3495, 2214, 19, 5175, 4785, 6, 4246, 13305, 6, 3152, 6757, 6, 326, 5638, 18026, 6, 5730, 2342, 4467, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 9, 15900, 741, 1685, 6, 42, 1619, 12, 14694, 8859, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 211, 6, 272, 6, 8, 83, 406, 16, 5705, 6636, 6, 2351, 10, 19448, 8, 2365, 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 ]	[ 57739, 50799, 55383, 51221, 52690, 78265, 55383, 50873, 52690, 51255, 50438, 53248, 51221, 51476, 55670, 51476, 50845, 53248, 50873, 50799, 53655, 51221, 51410, 68109, 53655, 50873, 51410, 52446, 51476, 50845, 53248, 55322, 53655, 50915, 51410, 56934, 53248, 50805, 51476, 50849, 50799, 55383, 50805, 52690, 54777, 55383, 50873, 52690, 55306, 51476, 50795, 53248, 68429, 53248, 50901, 51476, 50873, 61357, 50849, 53655, 78265, 51410, 50873, 53655, 55306, 53248, 50845, 51476, 55945, 53655, 50915, 51410, 59827, 53248, 50845, 51476, 50845, 50799, 55383, 50873, 52690, 54068, 51792, 52823, 58806, 55335, 52944, 51236, 51987, 51258, 51544, 51792, 52823, 55773, 78342, 54615, 52309, 55383, 50901, 52690, 50845, 52817, 51328, 50913, 55460, 57481, 53248, 50795, 51476, 61202, 52079, 53796, 52275, 51004, 50439, 53918, 55103, 53036, 65881, 54463, 55712, 51004, 52320, 52240, 52823, 55410, 53017, 53248, 50849, 51476, 59450, 59605, 53515, 51004, 50799, 53655, 50849, 51410, 50805, 54263, 53739, 55335, 55460, 53796, 53203, 54263, 54608, 69104, 53855, 54263, 51101, 50913, 52748, 52240, 52786, 58494, 53814, 51410, 50805, 53655, 65151, 55712, 51258, 50433, 53918, 56656, 51476, 50901, 53248, 58266, 57871, 52523, 53600, 53239, 53655, 50915, 51410, 50943, 53036, 56753, 53995, 59605, 50837, 52320, 52240, 56494, 53836, 53556, 53248, 50845, 51476, 58553, 69104, 50863, 50799, 55383, 50805, 52690, 68747, 52348, 53317, 51949, 53515, 54303, 51236, 53107, 54953, 54615, 50924, 51240, 51539, 52240, 52786, 62000, 52817, 68766, 52690, 50901, 55383, 65151, 53515, 79532, 53918, 68535, 53248, 50805, 51476, 50879, 51236, 51539, 52275, 55712, 65112, 51240, 53027, 53036, 79077, 55460, 55038, 51236, 51044, 51989, 52786, 54038, 51476, 50849, 53248, 50901, 51240, 52694, 55712, 51306, 50799, 53655, 50849, 51410, 50805, 54263, 51111, 50913, 52771, 51909, 55712, 54303, 54615, 51242, 51236, 53107, 53896, 54263, 51212, 50913, 52465, 51989, 51987, 59619, 51240, 52818, 51410, 50849, 53655, 50873, 53918, 77227, 55712, 57481, 51476, 50845, 53248, 58266, 53600, 52291, 57871, 53162, 53655, 50915, 51410, 70539, 55522, 52523, 56663, 51236, 53067, 52465, 52240, 52881, 51476, 50901, 53248, 66691, 53107, 51129, 50799, 55383, 50805, 52690, 59145, 59605, 51464, 52535, 52291, 54303, 51236, 52291, 59180, 54615, 54065, 57582, 52539, 53940, 60426, 52817, 68766, 55383, 50810, 52690, 57938, 55712, 58930, 51476, 50805, 53248, 50901, 53918, 59145, 57871, 52793, 53796, 53114, 51240, 55335, 55712, 51306, 52320, 56459, 52132, 52823, 54038, 53248, 50901, 51476, 65151, 58494, 55460, 51306, 61357, 50849, 53655, 50873, 54263, 51112, 50913, 53796, 52132, 55712, 54605, 51236, 52499, 64634, 54615, 51412, 51544, 51989, 52703, 53107, 58494, 61193, 54263, 59780, 53655, 50901, 51410, 67005, 63463, 53569, 54369, 50833, 51465, 50805, 54263, 51591, 51236, 52523, 53600, 52240, 54406, 54369, 50845, 66165, 64493, 52680, 53995, 58547, 65047, 50901, 55349, 78331, 51041, 52240, 53045, 54059, 54872, 50845, 61308, 56969, 79912, 50837, 50799, 55390, 50873, 52326, 68747, 52223, 54782, 51909, 55712, 54605, 50920, 79912, 58964, 55861, 51631, 50832, 56093, 52539, 52465, 53230, 55390, 50873, 52326, 50873, 53036, 54702, 53515, 58930, 51410, 50873, 53655, 50849, 53036, 59510, 55712, 53600, 58264, 53044, 54263, 51177, 50913, 55712, 71189, 53166, 50920, 52465, 51989, 56494, 54038, 51410, 50849, 53655, 50901, 53036, 53869, 56689, 53995, 51306, 50799, 55390, 50854, 52326, 50901, 55861, 58530, 55335, 53796, 52823, 54303, 57081, 50845, 52571, 50845, 53036, 51242, 50920, 57871, 52670, 56397, 50901, 52102, 50901, 55861, 51121, 50913, 52223, 51989, 56093, 52523, 53670, 53655, 50795, 51410, 50943, 54263, 51417, 50913, 53762, 55379, 50832, 53600, 53414, 53127, 54406, 53655, 50845, 51410, 50893, 51181, 51212, 50920, 77522, 56093, 52300, 52743, 54369, 50805, 51465, 50879, 51374, 58266, 56122, 53754, 51044, 53836, 54059, 55349, 50901, 51719, 51111, 51640, 51423, 50920, 73679, 55767, 50829, 72412, 51194, 51231, 51021, 51137, 51178, 51240, 54200, 69656, 52823, 55335, 52944, 51236, 51987, 57395, 52571, 50890, 51410, 51735, 51231, 51735, 62351, 51505, 51240, 57670, 51179, 51989, 52823, 52925, 52690, 50866, 54263, 65151, 55460, 57481, 53248, 50914, 51416, 51377, 55979, 51343, 77591, 58200, 77210, 54406, 51476, 51025, 51240, 53522, 55712, 54044, 51465, 51048, 51231, 51056, 51416, 50873, 58246, 52240, 52823, 55410, 53017, 53248, 50942, 52458, 50974, 50913, 55712, 59605, 50870, 57958, 50942, 54263, 63436, 55335, 55460, 58200, 51044, 52432, 51719, 50860, 51684, 50878, 55979, 51101, 50920, 69104, 53855, 54263, 51173, 50913, 50367, 51502, 51179, 52240, 52786, 58494, 53063, 51651, 51196, 52571, 51285, 51465, 51196, 52474, 51003, 54615, 51101, 50913, 55712, 57481, 50832, 57871, 52523, 63015, 51044, 52210, 51684, 65151, 53995, 59605, 52772, 51416, 50901, 54263, 50896, 62418, 52240, 56494, 53836, 53556, 51910, 51328, 50920, 69104, 50863, 54468, 50987, 53918, 50917, 50913, 56630, 51044, 56379, 51872, 53515, 54303, 52326, 50809, 51349, 50955, 51236, 53107, 54953, 51476, 50952, 51465, 50923, 51249, 51215, 53036, 51212, 62418, 56379, 51877, 52786, 53670, 51684, 50943, 55979, 51177, 50913, 53515, 57481, 54263, 51060, 51236, 54366, 51239, 52240, 55712, 54189, 51410, 50809, 51719, 50893, 51416, 50805, 55979, 51100, 51240, 53522, 55460, 55038, 51910, 51121, 54263, 50893, 51236, 56088, 51179, 52240, 52786, 54038, 51231, 50980, 52571, 51160, 51349, 50892, 52817, 75540, 55335, 55712, 51306, 53053, 65151, 58597, 51044, 52240, 55712, 54303, 51236, 53107, 53896, 79759, 53200, 50950, 55173, 66572, 52373, 52465, 52240, 51987, 53196, 51181, 50905, 53200, 50879, 55173, 75991, 55712, 77522, 50837, 54360, 50940, 53719, 50950, 56173, 54413, 63015, 52538, 51464, 53963, 57871, 53162, 51374, 50866, 53719, 51030, 56173, 59450, 54946, 52539, 71189, 53057, 51640, 50878, 54375, 50821, 55870, 50830, 51236, 53067, 56450, 51467, 51989, 52881, 51640, 50901, 54375, 51138, 55870, 50879, 51236, 53107, 69526, 50828, 54458, 51137, 50866, 52817, 50901, 53266, 58266, 63015, 56379, 53403, 51137, 53071, 55410, 52670, 52571, 50802, 51410, 50976, 51231, 50802, 54263, 50811, 52058, 58534, 53889, 51041, 52925, 51137, 50901, 54263, 50811, 52058, 60096, 50908, 54908, 50800, 55979, 51932, 52384, 50980, 52902, 58251, 53044, 51416, 57733, 63015, 55399, 53166, 51476, 50923, 51465, 51012, 51231, 51192, 52384, 55976, 51041, 55816, 78878, 55979, 54450, 51416, 50879, 55979, 51010, 52384, 56428, 56689, 50891, 54468, 50897, 55979, 51066, 52384, 51460, 50913, 58200, 51179, 52432, 51349, 50955, 52613, 51117, 52670, 51476, 51030, 51231, 50948, 51465, 50860, 52384, 57148, 54946, 51044, 56379, 58245, 55979, 55736, 51349, 50845, 55979, 51010, 52384, 58665, 54114, 51476, 50893, 51410, 51012, 51719, 75888, 50901, 54263, 50802, 52058, 51286, 52902, 56459, 53239, 51181, 50873, 55979, 51095, 52384, 54523, 53317, 52300, 57013, 51476, 50925, 51719, 50937, 51410, 57415, 51374, 50805, 54263, 51012, 52058, 50911, 51236, 53754, 51044, 53650, 51231, 50924, 52571, 50901, 51410, 50879, 51640, 50905, 54615, 51175, 53175, 50893, 51236, 50829, 53053, 50866, 51240, 54200, 51135, 53099, 52944, 73498, 52243, 51117, 52762, 52571, 50936, 51410, 51021 ]
[ 0, 250, 15352, 30054, 8, 20425, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 10, 1769, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 16, 11, 5, 762, 9, 83, 538, 8, 29769, 198, 5, 33215, 16739, 9, 381, 6, 163, 119, 6, 8, 211, 6, 61, 35315, 1328, 5, 2214, 4, 20, 6711, 7630, 6568, 6453, 9, 11098, 8, 657, 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 ]	[ 58402, 50861, 65921, 64204, 75088, 51568, 50296, 76371, 51097, 58973, 56307, 50973, 62215, 72816, 50951, 60510, 50902, 56697, 50968, 64233, 58843, 50902, 50974, 57289, 72046, 58657, 51003, 58973, 56307, 50973, 55332, 57547, 50951, 54233, 50989, 51911, 50322, 51244, 50450, 50989, 51097, 54868, 63030, 59219, 67889, 60184, 50973, 66676, 51145, 50432, 50951, 56306, 50902, 55437, 50968, 60318, 57414, 50902, 50974, 57289, 51568, 50294, 57410, 50902, 56307, 50973, 58754, 79411, 50951, 56306, 50902, 52985, 50968, 59537, 57414, 50902, 50838, 54594, 65064, 51568, 50296, 60817, 57933, 50902, 52688, 50973, 62215, 72816, 50951, 58141, 50902, 56697, 50968, 64233, 58667, 50902, 50838, 57289, 72046, 58657, 51003, 58973, 54335, 50973, 55332, 57173, 50951, 55306, 50989, 52019, 50322, 77307, 50989, 50915, 54868, 67119, 61817, 70062, 60324, 50973, 58754, 51145, 50432, 50951, 60510, 50902, 52985, 50968, 62035, 58667, 50902, 50974, 57289, 51568, 50294, 57410, 50902, 56307, 50973, 62035, 79411, 50951, 58141, 50902, 54058, 50968, 51514, 50282, 51619, 50294, 57414, 50902, 50892, 54594, 63707, 51458, 50284, 51800, 50296, 57519, 50902, 53172, 50973, 51455, 50296, 51127, 50916, 78787, 50951, 53218, 50902, 53562, 50968, 51458, 50296, 68184, 58667, 50902, 50845, 57289, 50805, 51214, 52019, 50299, 51097, 58973, 53172, 50973, 72046, 57631, 55112, 50951, 55122, 51378, 67182, 51741, 50322, 51183, 50450, 50989, 51003, 54852, 61527, 51455, 50282, 51911, 50294, 50995, 58973, 53172, 50973, 51568, 50294, 51127, 50899, 78787, 50951, 53218, 50902, 54058, 50968, 51519, 50294, 61861, 57414, 50902, 50873, 54852, 61552, 50805, 51799, 52019, 50294, 51097, 58973, 53172, 50973, 51568, 50294, 79199, 79411, 50951, 53218, 50902, 54058, 50968, 51519, 50294, 61861, 57414, 50902, 50845, 54852, 63707, 51458, 50289, 51911, 50301, 50995, 58973, 55035, 50973, 51712, 50301, 63831, 62715, 50951, 62682, 50902, 54058, 50968, 71942, 60598, 59827, 50902, 50901, 57289, 51519, 50289, 51911, 50301, 50995, 58973, 55035, 50973, 59389, 55112, 50951, 51646, 50989, 51741, 50322, 69600, 50989, 51003, 54206, 61817, 64924, 58187, 50973, 60318, 51145, 50432, 50951, 55480, 50902, 56697, 50968, 59537, 58667, 50902, 50892, 56310, 55041, 50916, 55035, 50877, 53308, 50973, 55306, 50877, 76619, 50968, 56697, 50999, 53702, 51220, 50901, 60963, 52019, 50296, 60324, 51841, 51619, 50296, 50915, 50434, 51086, 68066, 50916, 60831, 50861, 53219, 50973, 51519, 50296, 51807, 50303, 60510, 50973, 55247, 51315, 51619, 50303, 57414, 50899, 51790, 50877, 51790, 54795, 69836, 58326, 51214, 51619, 50299, 50915, 50434, 51086, 65470, 50899, 61055, 50861, 53442, 50973, 67860, 51807, 50303, 60510, 50973, 57197, 51026, 58843, 50989, 51452, 50877, 51452, 58359, 51911, 50294, 58187, 51799, 51619, 50294, 54975, 51120, 72944, 64763, 67182, 57105, 51120, 73657, 61861, 73450, 51003, 57346, 57094, 51458, 50289, 73657, 57933, 50989, 79642, 51315, 54342, 51027, 55306, 51040, 57094, 51458, 50289, 73657, 56306, 50989, 55247, 51027, 58667, 51086, 51452, 50916, 51452, 60963, 51741, 50296, 58326, 51315, 50915, 50434, 51086, 65470, 50916, 61055, 50861, 53442, 50973, 50805, 51315, 51734, 50303, 58141, 50973, 56508, 51315, 51741, 50303, 58667, 50899, 51115, 68485, 54795, 69836, 58326, 51214, 69836, 57547, 50861, 60379, 54137, 50861, 59374, 71115, 51127, 50899, 51127, 67964, 54058, 50989, 64953, 58359, 51712, 50294, 58879, 51378, 50854, 51114, 54347, 51027, 50810, 50999, 51620, 50899, 74563, 52030, 70947, 51787, 55632, 59755, 51814, 52877, 50902, 51356, 52912, 51009, 61627, 51799, 52263, 51120, 52263, 50458, 52046, 50933, 51197, 50933, 60963, 52019, 50296, 60324, 51841, 51517, 50296, 50932, 50434, 50973, 50910, 50436, 50968, 58566, 50951, 53442, 51220, 50805, 51315, 51911, 50303, 72272, 59791, 51220, 56508, 51315, 51517, 50303, 65377, 56109, 50902, 51452, 50999, 51452, 54795, 52026, 50299, 60184, 51214, 52026, 50299, 51108, 50434, 71777, 50436, 50902, 59693, 50951, 53219, 51220, 77782, 64763, 58657, 60510, 51220, 56508, 51026, 63030, 58794, 56109, 51114, 51790, 50999, 51790, 58359, 52454, 50294, 64396, 51799, 51517, 50294, 54498, 51027, 67119, 64924, 51741, 50322, 57105, 51027, 70276, 77245, 70062, 51807, 50322, 51003, 58540, 60126, 51458, 50289, 52454, 50301, 72497, 51114, 55035, 51114, 51514, 50289, 52026, 50301, 51108, 63174, 56298, 51028, 66042, 69748, 68184, 59055, 59242, 51114, 55247, 51027, 68186, 63821, 63190, 50973, 51452, 50968, 51452, 60963, 52845, 50296, 65435, 51841, 52026, 50296, 51108, 50434, 50973, 50910, 50436, 50968, 58566, 50951, 53442, 51220, 50805, 51315, 51911, 50303, 72272, 59791, 51220, 56508, 51315, 52019, 50303, 76371, 62214, 50902, 51115, 50999, 51115, 54795, 52454, 50299, 64396, 51214, 52026, 50299, 51108, 58319, 60756, 53913, 50861, 59353, 69324, 51244, 50899, 51244, 67964, 54058, 50989, 51103, 50902, 51103, 58359, 52845, 50294, 65435, 51799, 51645, 51120, 51645, 50435, 51378, 50827, 50989, 59321, 51027, 61541, 52565, 50989, 55673, 73470, 72388, 63030, 56350, 50989, 57069, 53562, 50877, 61907, 73470, 52026, 50301, 73790, 63190, 50877, 51218, 50968, 51218, 55547, 63922, 51315, 56307, 51027, 58887, 75127, 74335, 57421, 51040, 52718, 50916, 59219, 75202, 68547, 55441, 51214, 52216, 50299, 72713, 55069, 51966, 51853, 50298, 50972, 60963, 51517, 50296, 62722, 52910, 51086, 67919, 66547, 50824, 51220, 50824, 51430, 53566, 50916, 52718, 50861, 78172, 61241, 50807, 51220, 50807, 51430, 52728, 51841, 51853, 50296, 68081, 61241, 50807, 51220, 50807, 51430, 53312, 51966, 51853, 50298, 50972, 54795, 63141, 57777, 69517, 51800, 50327, 51800, 50330, 57519, 51086, 50974, 53337, 63785, 65934, 51608, 50327, 51608, 50330, 55112, 50861, 51318, 50438, 50973, 51103, 50902, 51103, 50951, 51103, 51220, 66563, 51214, 52454, 50299, 51330, 58359, 52104, 50294, 73585, 65516, 51378, 52688, 51027, 57777, 53751, 50322, 53751, 50330, 51237, 58296, 56298, 50989, 64924, 52297, 50322, 52297, 50330, 59731, 51799, 52454, 50294, 70024, 73412, 76506, 50807, 55547, 71174, 51800, 50329, 57519, 51315, 56307, 51027, 71277, 51608, 50329, 55112, 51040, 52718, 50916, 65521, 51127, 50999, 51127, 50450, 51214, 52104, 50299, 59111, 51966, 51853, 50298, 50972, 56807, 51442, 50327, 51442, 50284, 52026, 50296, 67142, 51114, 66083, 52483, 51086, 57945, 51936, 50327, 55214, 50916, 67646, 67611, 53470, 50861, 74826, 52297, 50327, 59731, 51841, 52104, 50296, 78288, 73093, 59827, 51966, 51260, 50298, 50838, 54795, 51853, 50299, 68636, 73735, 52774, 51086, 74992, 50873, 53337, 74984, 54729, 50861, 74992, 53470, 50973, 51712, 50327, 55480, 50902, 54323, 50968, 50995, 54868, 66918, 51936, 50327, 56763, 51027, 74992, 50849, 53337, 74984, 52605, 50989, 51644, 50325, 54233, 51220, 59460, 76619, 50902, 54230, 50902, 75511, 50995, 55547, 63961, 51315, 71277, 65655, 55035, 51027, 71277, 65655, 54777, 51040, 71277, 65544, 53470, 50916, 73279, 66950, 55082, 51214, 52104, 50299, 71509, 61241, 53312, 51966, 52104, 50298, 51079, 60963, 52026, 50296, 67142, 50951, 80178, 53466, 51114, 78273, 51514, 50303, 72272, 57648, 50968, 60126, 54233, 51086, 65377, 51517, 50322, 52297, 50325, 59731, 51841, 51853, 50296, 51853, 50315, 73093, 59827, 51966, 51853, 50298, 50972, 54795, 52026, 50299, 67142 ]
[ 0, 713, 8787, 5175, 15229, 11, 230, 538, 16, 17407, 30, 63, 182, 1769, 20889, 8, 316, 73, 398, 86, 6543, 4, 20, 15352, 30054, 2125, 1575, 41, 3459, 9590, 6, 81, 9756, 8, 36075, 29589, 6, 13305, 6, 8, 21072, 6, 2351, 10, 11739, 9, 19448, 8, 2933, 23225, 4, 20, 2270, 33215, 16739, 25935, 1626, 227, 230, 8, 274, 73, 347, 1328, 5, 2214, 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 ]	[ 53261, 50639, 50546, 53369, 53601, 53261, 58933, 52266, 50450, 58933, 52266, 50486, 58933, 52266, 50522, 58933, 52266, 50546, 53369, 53601, 53261, 58933, 52266, 50450, 58933, 52266, 50486, 58933, 52266, 50522, 58933, 52266, 50546, 53369, 53601, 53261, 51231, 52121, 58933, 52266, 51434, 52024, 51773, 52024, 51669, 52024, 50416, 51414, 52121, 50417, 51457, 52121, 50450, 58933, 52266, 50486, 58933, 52266, 50510, 53369, 53601, 50522, 51231, 51145, 51414, 51145, 51457, 51145, 51434, 51077, 51773, 51077, 51669, 51077, 58933, 52266, 50546, 51303, 52121, 51515, 52024, 51440, 52024, 51607, 52024, 50548, 51249, 52121, 50549, 51327, 52121, 53261, 58933, 52266, 50438, 51224, 56508, 58933, 52266, 51456, 50943, 50462, 51456, 50943, 50474, 51456, 50943, 50486, 58933, 52266, 51456, 50943, 50498, 51553, 51330, 50510, 51553, 51330, 50522, 58933, 52266, 51553, 51330, 50534, 50804, 51016, 50546, 53369, 53601, 50804, 51016, 53261, 51231, 52121, 58933, 52266, 51434, 52024, 51773, 52024, 51669, 52024, 52936, 57508, 50798, 51677, 51335, 51518, 50416, 51414, 52121, 50417, 51457, 52121, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50927, 59579, 51145, 50843, 52266, 50498, 50964, 51237, 50510, 53369, 53601, 51096, 59579, 50981, 50522, 51231, 51145, 51414, 51145, 51457, 51145, 51434, 51077, 51773, 51077, 51669, 51077, 58933, 52266, 51069, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 51096, 51237, 50546, 51303, 52121, 51515, 52024, 51440, 52024, 51607, 52024, 50964, 51237, 50548, 51249, 52121, 50549, 51327, 52121, 53261, 58933, 52266, 52936, 57508, 50798, 51677, 50843, 52266, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50953, 59579, 51145, 50843, 52266, 50498, 50953, 51237, 50510, 51325, 59579, 50981, 50522, 58933, 52266, 51011, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 50964, 51237, 50546, 53369, 53601, 50927, 51237, 53261, 51231, 52121, 58933, 52266, 51434, 52024, 51773, 52024, 51669, 52024, 50945, 57508, 50798, 51677, 51335, 51518, 50416, 51414, 52121, 50417, 51457, 52121, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50798, 51145, 50843, 52266, 50498, 50964, 51237, 50510, 53369, 53601, 50927, 59579, 50981, 50522, 51231, 51145, 51414, 51145, 51457, 51145, 51434, 51077, 51773, 51077, 51669, 51077, 58933, 52266, 50945, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 50927, 51237, 50546, 51303, 52121, 51515, 52024, 51440, 52024, 51607, 52024, 50964, 51237, 50548, 51249, 52121, 50549, 51327, 52121, 53261, 58933, 52266, 52936, 59939, 50798, 51677, 50843, 52266, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50798, 51145, 50843, 52266, 50498, 50953, 51237, 50510, 51325, 59579, 50981, 50522, 58933, 52266, 51011, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 50964, 51237, 50546, 53369, 53601, 50927, 51237, 53261, 51231, 52121, 58933, 52266, 51434, 52024, 51773, 52024, 51669, 52024, 50945, 54430, 50798, 51677, 51335, 51518, 50416, 51414, 52121, 50417, 51457, 52121, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50798, 51145, 50843, 52266, 50510, 53369, 53601, 50927, 59579, 50981, 50522, 51231, 51145, 51414, 51145, 51457, 51145, 51434, 51077, 51773, 51077, 51669, 51077, 58933, 52266, 50964, 51870, 50804, 51941, 51068, 51692, 50843, 52266, 50546, 51303, 52121, 51515, 52024, 51440, 52024, 51607, 52024, 52936, 59939, 50548, 51249, 52121, 50549, 51327, 52121, 53261, 58933, 52266, 50798, 51677, 50843, 52266, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 51011, 59579, 51145, 50843, 52266, 50498, 50953, 51237, 50510, 51325, 59579, 50981, 50522, 58933, 52266, 51011, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 50964, 51237, 50546, 53369, 53601, 50927, 51237, 53261, 51231, 52121, 58933, 52266, 51434, 52024, 51773, 52024, 51669, 52024, 50945, 57508, 50798, 51677, 51335, 51518, 50416, 51414, 52121, 50417, 51457, 52121, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50927, 59579, 51145, 50843, 52266, 50498, 50964, 51237, 50510, 53369, 53601, 51096, 59579, 50981, 50522, 51231, 51145, 51414, 51145, 51457, 51145, 51434, 51077, 51773, 51077, 51669, 51077, 58933, 52266, 51069, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 51096, 51237, 50546, 51303, 52121, 51515, 52024, 51440, 52024, 51607, 52024, 50964, 51237, 50548, 51249, 52121, 50549, 51327, 52121, 53261, 58933, 52266, 50964, 57508, 50798, 51677, 50843, 52266, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50953, 59579, 51145, 50843, 52266, 50498, 50953, 51237, 50510, 51325, 59579, 50981, 50522, 58933, 52266, 51011, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 50964, 51237, 50546, 53369, 53601, 50927, 51237, 53261, 51231, 52121, 58933, 52266, 51434, 52024, 51773, 52024, 51669, 52024, 50945, 57508, 50798, 51677, 50843, 52266, 50416, 51414, 52121, 50417, 51457, 52121, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50927, 59579, 51677, 50843, 52266, 50498, 50964, 51237, 50510, 53369, 52017, 50927, 51237, 50522, 51231, 51145, 51414, 51145, 51457, 51145, 51434, 51077, 51773, 51077, 51669, 51077, 58933, 52266, 50945, 51237, 52060, 50873, 50528, 51456, 51218, 50534, 50927, 51237, 50546, 51303, 52121, 50964, 51237, 50548, 51249, 52121, 50549, 51327, 52121, 53261, 53369, 52266, 51515, 51538, 51440, 51538, 52936, 53174, 50798, 51677, 51335, 51518, 50450, 53369, 52266, 51515, 51538, 51440, 51538, 51069, 53174, 50804, 51941, 50843, 52266, 50486, 51660, 51077, 51434, 51077, 55243, 52266, 50964, 77609, 51145, 50843, 52266, 50510, 51440, 50889, 50945, 59579, 50981, 50522, 55243, 51551, 51660, 51077, 51434, 51077, 51019, 51870, 50804, 51941, 50843, 52266, 50546, 53722, 52017, 51614, 52024, 51515, 52024, 51440, 52024, 50927, 54430, 53261, 50798, 51677, 50843, 52266, 50450, 53722, 52266, 50804, 51941, 50843, 52266, 50486, 53722, 52266, 50804, 51016, 50498, 50804, 51016, 50510, 51614, 51538, 51515, 51538, 51440, 51538, 51019, 51237, 52060, 50943, 50522, 53722, 51551, 50945, 51870, 51456, 51127, 50546, 57848, 53601, 52769, 53601, 52745, 52024, 51434, 52024, 50953, 54430, 50798, 51677, 51335, 51359, 53135, 51450, 50981, 51382, 51941, 50843, 52266, 50486, 50798, 51145, 50843, 52266, 50510, 57848, 59359, 51016, 50522, 52769, 51090, 52745, 50889, 51434, 55506, 51356, 50546, 57117, 52266, 51614, 53090, 51515, 53090, 50798, 51677, 51335, 51359, 53261, 51186, 56769, 50438, 57117, 59359, 58833, 52557, 51551, 50804, 51356, 50474, 54437, 52266, 51660, 51264, 51434, 51264, 51133, 59939, 50798, 51677, 51335, 51359, 50510, 54437, 51090, 51224, 50943, 50522, 51774, 51551, 51660, 51077, 51434, 51077, 51224, 50943, 50534, 51456, 50943, 50546, 54437, 51090, 51456, 50943, 53261, 53369, 52266, 51515, 51538, 51440, 51538, 52936, 53174, 50798, 51677, 51335, 51518, 50450, 53369, 52266, 51515, 51538, 51440, 51538, 51069, 53174, 50804, 51941, 50843, 52266, 50486, 55243, 51551, 51660, 51077, 51434, 51077, 50964, 77609, 51145, 50843, 52266, 50510, 53369, 51090, 51440, 50889, 50945, 59579, 50981, 50522, 55243, 51551 ]
[ 0, 250, 765, 6, 14899, 3152, 8, 3495, 37903, 4246, 3459, 9590, 6, 13602, 6757, 6, 13305, 6, 2003, 38704, 31365, 25999, 6, 8, 21072, 6, 70, 8216, 7, 10, 33928, 8, 15352, 30054, 5466, 11, 83, 538, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50791, 53432, 50802, 51787, 51537, 50337, 50812, 52912, 50854, 62644, 50718, 50282, 50803, 57537, 51939, 53256, 51939, 52451, 51939, 51039, 50817, 51787, 51609, 50337, 50833, 52912, 50810, 51544, 51463, 50811, 51787, 51537, 50337, 51689, 50342, 50854, 78794, 51361, 53432, 53819, 50334, 51537, 50337, 51689, 50342, 50844, 51570, 53432, 50803, 51787, 51537, 50337, 51689, 50342, 50810, 51011, 51237, 51180, 50817, 51787, 51954, 50337, 51537, 50342, 50822, 52320, 51463, 50811, 51787, 51764, 50337, 50813, 52912, 50822, 51415, 51603, 51453, 50817, 51787, 51954, 50337, 51537, 50342, 50822, 53028, 53432, 50802, 51787, 52081, 50337, 51537, 50342, 50822, 50927, 51237, 50718, 50282, 50950, 57537, 51008, 53256, 50959, 52451, 51058, 51039, 50817, 51787, 51954, 50337, 51604, 50342, 50851, 51544, 51463, 50811, 51787, 51604, 50337, 51537, 50342, 50844, 51213, 51072, 51361, 53432, 53819, 50334, 51604, 50337, 51609, 50342, 50874, 50718, 50282, 50803, 57537, 51008, 52451, 51008, 50433, 53256, 51008, 51570, 53432, 50803, 51787, 51764, 50337, 51537, 50342, 50822, 51011, 51090, 51180, 50817, 51787, 51954, 50337, 51609, 50342, 50886, 52320, 51463, 50811, 51787, 51604, 50337, 50813, 52912, 50844, 51415, 51290, 51453, 50817, 51787, 51609, 50337, 51537, 50342, 50857, 50718, 50281, 50860, 53028, 53432, 50802, 51787, 51954, 50337, 51609, 50342, 50874, 50927, 51237, 50718, 50282, 51033, 50415, 57537, 52222, 53256, 52222, 52451, 52222, 51039, 50817, 51787, 51954, 50337, 51609, 50342, 50874, 51544, 51463, 50811, 51787, 51604, 50337, 51537, 50342, 50844, 78794, 51361, 53432, 53819, 50334, 51764, 50337, 51604, 50342, 50844, 51570, 53432, 50803, 51787, 51537, 50337, 50813, 52912, 50810, 51011, 51290, 51180, 50817, 51787, 51764, 50337, 51682, 50342, 50844, 52320, 51463, 50811, 51787, 50813, 51814, 51689, 50342, 50862, 51415, 51055, 51453, 50817, 51787, 51609, 50337, 51682, 50342, 50886, 53028, 53432, 50802, 51787, 51537, 50337, 50813, 52912, 50857, 62644, 50718, 50282, 50860, 57537, 50905, 53256, 50905, 52451, 50905, 52892, 50978, 51039, 50817, 51787, 51537, 50337, 51689, 50342, 50844, 51544, 51463, 50811, 51787, 51609, 50337, 51537, 50342, 50857, 51019, 51237, 51361, 53432, 53819, 50334, 51609, 50337, 50813, 52912, 50886, 50718, 50282, 50950, 57537, 50978, 53256, 50978, 52892, 50905, 52451, 50905, 51570, 53432, 50803, 51787, 51954, 50337, 51537, 50342, 50864, 50945, 51735, 51180, 50817, 51787, 51604, 50337, 50813, 52912, 50867, 52320, 51463, 50811, 51787, 51604, 50337, 50813, 52912, 50867, 51213, 51237, 51453, 50817, 51787, 51682, 50337, 51581, 50342, 50813, 68921, 50923, 53028, 53432, 50802, 51487, 50813, 53117, 50809, 52912, 50833, 50953, 51566, 61142, 50921, 54921, 52151, 52451, 52151, 53952, 52151, 50415, 53205, 52151, 51039, 50817, 51487, 51954, 50339, 50813, 52912, 50864, 51544, 51463, 50811, 51487, 51954, 50339, 51682, 50342, 50864, 51415, 50824, 51361, 53432, 53819, 50335, 51954, 50339, 51689, 50342, 50886, 51570, 53432, 50803, 51487, 52666, 50339, 51537, 50342, 50864, 51271, 51090, 51180, 50817, 51487, 52386, 50339, 50813, 52912, 50874, 52320, 51463, 50811, 51487, 52386, 50339, 51609, 50342, 50827, 51817, 51237, 51453, 50817, 51487, 52386, 50339, 50813, 52912, 50941, 53028, 53432, 50802, 51487, 51954, 50339, 51682, 50342, 50874, 50953, 51090, 61142, 58197, 54921, 50978, 52451, 50978, 53952, 50959, 53205, 50959, 51039, 50817, 51487, 51954, 50339, 51682, 50342, 50822, 51544, 51463, 50811, 51487, 51954, 50339, 50813, 52912, 50886, 51415, 50824, 51361, 53432, 53819, 50335, 51954, 50339, 51682, 50342, 50874, 61142, 61964, 54921, 50959, 52451, 50959, 53952, 50959, 53205, 50822, 51570, 53432, 50803, 51487, 52666, 50339, 51609, 50342, 50904, 51271, 51090, 51180, 50817, 51487, 53529, 50339, 50844, 52912, 50904, 52320, 51463, 50811, 51487, 52386, 50339, 51537, 50342, 50864, 51817, 51735, 51453, 50817, 51487, 52666, 50339, 50813, 52912, 50904, 50718, 50281, 51021, 53028, 53432, 50802, 51787, 51537, 50337, 51689, 50342, 50822, 50927, 51454, 50718, 50282, 50921, 57537, 52151, 53256, 52151, 52892, 52151, 52451, 52151, 51039, 50817, 51787, 50827, 51814, 50912, 52912, 50907, 51544, 51463, 50811, 51787, 50851, 51814, 51604, 50342, 50851, 78794, 51361, 53432, 53819, 50334, 51604, 50337, 51537, 50342, 50874, 51570, 53432, 50803, 51787, 51954, 50337, 51537, 50342, 50827, 51011, 51237, 51180, 50817, 51787, 52081, 50337, 51609, 50342, 50827, 52320, 51463, 50811, 51787, 52666, 50337, 50827, 52912, 50851, 51415, 51237, 51453, 50817, 51787, 52081, 50337, 51604, 50342, 50851, 53028, 53432, 50802, 51787, 51954, 50337, 50851, 52912, 50851, 74235, 50718, 50282, 50823, 52451, 50905, 57537, 50978, 53256, 50905, 52892, 75558, 50817, 51787, 51604, 50337, 50822, 52912, 50827, 51544, 51463, 50811, 51787, 51604, 50337, 51609, 50342, 50851, 51213, 51054, 51361, 53432, 53819, 50334, 52081, 50337, 51604, 50342, 50941, 50718, 50282, 61964, 57537, 50978, 52451, 50905, 53256, 50978, 52892, 50905, 51570, 53432, 50803, 51787, 51764, 50337, 50813, 52912, 50886, 51011, 51090, 51180, 50817, 51787, 51609, 50337, 51682, 50342, 50822, 52320, 51463, 50811, 51787, 51764, 50337, 51682, 50342, 50886, 51415, 51055, 51453, 50817, 51787, 51537, 50337, 51682, 50342, 50822, 62828, 51138, 53028, 53432, 50802, 51814, 50808, 53684, 51581, 50344, 50812, 51011, 51090, 59931, 51014, 53281, 52151, 50415, 53256, 52151, 54801, 52151, 51039, 50817, 51814, 51689, 50341, 50854, 55226, 50813, 51544, 51463, 50811, 51814, 51682, 50341, 50833, 55226, 50810, 52022, 51237, 50431, 53205, 51148, 51361, 53432, 53819, 50337, 50810, 53684, 50810, 55226, 50822, 51570, 53432, 50803, 51814, 50833, 53684, 50854, 55226, 50854, 51817, 51090, 51180, 50817, 51814, 51537, 50341, 51537, 50344, 50822, 52320, 51463, 50811, 51814, 51682, 50341, 51682, 50344, 50854, 52646, 50896, 51453, 50817, 51814, 51682, 50341, 51689, 50344, 50855, 53028, 53432, 50802, 51487, 51609, 50339, 50858, 52912, 50854, 50953, 51013, 61142, 50950, 52451, 51242, 53952, 50905, 53205, 50905, 54921, 75558, 50817, 51487, 50827, 53117, 50833, 52912, 50810, 51544, 51463, 50811, 51487, 50822, 53117, 50809, 52912, 50854, 51415, 50824, 51361, 53432, 53819, 50335, 50822, 53117, 51581, 50342, 60733, 61142, 50950, 54921, 50978, 53952, 50978, 53205, 50978, 52451, 50978, 51570, 53432, 50803, 51487, 50874, 53117, 50808, 52912, 50822, 51271, 51016, 51180, 50817, 51487, 51609, 50339, 51731, 50342, 50844, 52320, 51463, 50811, 51487, 50874, 53117, 51731, 50342, 50844, 51817, 51735, 51453, 50817, 51487, 51604, 50339, 50808, 52912, 50844, 50718, 50281, 51012, 53028, 53432, 50802, 51787, 51682, 50337, 51581, 50342, 50822, 50927, 51454, 50718, 50282, 50948, 57537, 51313, 53256, 51313, 52892, 51313, 52451, 51313, 51039, 50817, 51787, 50827, 51814, 50810, 52912, 50844, 51544, 51463, 50811, 51787, 50813, 51814, 50833, 52912, 50810, 78794, 51361, 53432, 53819, 50334, 51609, 50337, 50813, 52912, 50810, 51570, 53432, 50803, 51787, 50874, 51814, 50854, 52912, 50844, 79388, 51180, 50817, 51787, 51609, 50337, 50854, 52912, 50810, 52320, 51463, 50811, 51787, 51764, 50337, 51682, 50342, 50854, 51325, 51237, 51453, 50817, 51787, 51537, 50337, 50854, 52912, 50822, 53028, 53432, 50802, 51399, 50813, 51430 ]
[ 0, 250, 2635, 12, 20764, 15855, 2125, 11, 211, 538, 6, 4246, 6168, 3540, 6, 21979, 8669, 6, 12280, 3275, 1725, 3109, 6, 38668, 11212, 6, 8, 5921, 3343, 1290, 642, 5255, 6, 2351, 41, 9066, 8, 25306, 5466, 19, 2933, 223, 34693, 6, 10686, 13, 10, 822, 19834, 6, 19, 10, 33215, 16739, 9, 83, 6, 274, 10431, 119, 6, 272, 6, 8, 211, 6, 278, 11, 41, 18186, 112, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50619, 50745, 50294, 51103, 50657, 50282, 51103, 50416, 68847, 58160, 61513, 64682, 54650, 59432, 61513, 55155, 68847, 61057, 61513, 50836, 52552, 61616, 75240, 61513, 58160, 68847, 64682, 54650, 59432, 61616, 55155, 68847, 61057, 61513, 50836, 52552, 50745, 50291, 51103, 50657, 50279, 51103, 50416, 68847, 58160, 61513, 64682, 54650, 59432, 61513, 55155, 68847, 61057, 61513, 50836, 52552, 61616, 75240, 61513, 58160, 68847, 64682, 54650, 59432, 61616, 55155, 68847, 61057, 61513, 50836, 52552, 50745, 50292, 51103, 50657, 50280, 51103, 50416, 68847, 58160, 61513, 64682, 54650, 59432, 61513, 55155, 68847, 61057, 61513, 50836, 52552, 61616, 75240, 61513, 58160, 68847, 64682, 54650, 59432, 61616, 55155, 68847, 61057, 61513, 50836, 52552, 50745, 50299, 51103, 59112, 51103, 50416, 52494, 58160, 52203, 64682, 52614, 59432, 52203, 55155, 52494, 61057, 52203, 50836, 52552, 53839, 57368, 52494, 64682, 53839, 54402, 52203, 58745, 52614, 50917, 50425, 65935, 52552, 50745, 50294, 51103, 50657, 50282, 51103, 67197, 75240, 68847, 50836, 57223, 57368, 61513, 64682, 54650, 50812, 57223, 59432, 61513, 50836, 57223, 54080, 68847, 61057, 61513, 50836, 50676, 50339, 50812, 52552, 61616, 75240, 61513, 50836, 57223, 57368, 68847, 64682, 54650, 50812, 57223, 50917, 50422, 61616, 55155, 68847, 61057, 61513, 50836, 65935, 52552, 50745, 50291, 51103, 50657, 50279, 51103, 67197, 75240, 68847, 50836, 67197, 57368, 61513, 64682, 54650, 50812, 67197, 59432, 61513, 50836, 54374, 55155, 68847, 50836, 54039, 62046, 61513, 50836, 52552, 61616, 75240, 61513, 58160, 68847, 64682, 54650, 59432, 61616, 55155, 68847, 61057, 61513, 50836, 50676, 50342, 50836, 52552, 50745, 50292, 51103, 50657, 50280, 51103, 50676, 50340, 75240, 68847, 50836, 50676, 50340, 57368, 61513, 64682, 54650, 50812, 50676, 50340, 50917, 50422, 61513, 55155, 68847, 50836, 50676, 50339, 61057, 61513, 50836, 50676, 50339, 50812, 52552, 61616, 75240, 61513, 50836, 57223, 57368, 68847, 64682, 54650, 50812, 57223, 50917, 50422, 61616, 55155, 68847, 61057, 61513, 50836, 65935, 52552, 50745, 50299, 51103, 59112, 51103, 67197, 50812, 50416, 61513, 58160, 54650, 50836, 59048, 64682, 54019, 50812, 59048, 59432, 54650, 50836, 57223, 54080, 61513, 61057, 70825, 50836, 59048, 50917, 52552, 61616, 57368, 61513, 64682, 61616, 54402, 54650, 58745, 54019, 50836, 51649, 55155, 61513, 50836, 50676, 50339, 62046, 68847, 50836, 52552, 50745, 50294, 51103, 50657, 50282, 51103, 57223, 75240, 68847, 50836, 57223, 50917, 50417, 61513, 64682, 54650, 52871, 57223, 59432, 61513, 55155, 68847, 50836, 57223, 61057, 61513, 50836, 50676, 50339, 50917, 52552, 61616, 75240, 61513, 58160, 68847, 50836, 57223, 64682, 54650, 50812, 57223, 50917, 50422, 61616, 55155, 68847, 61057, 61513, 50836, 54039, 50836, 52552, 50745, 50291, 51103, 50657, 50279, 51103, 67197, 50812, 50416, 68847, 58160, 61513, 50836, 67197, 64682, 54650, 50812, 67197, 59432, 61513, 50836, 59048, 54080, 68847, 61057, 61513, 50836, 67197, 50917, 52552, 61616, 75240, 61513, 58160, 68847, 64682, 54650, 59432, 61616, 55155, 68847, 50836, 50676, 50342, 62046, 61513, 50836, 52552, 50745, 50292, 51103, 50657, 50280, 51103, 50676, 50340, 75240, 68847, 50836, 50676, 50340, 50917, 50417, 61513, 64682, 54650, 52871, 50676, 50340, 59432, 61513, 55155, 68847, 50836, 50676, 50339, 61057, 61513, 50836, 50676, 50339, 50812, 52552, 61616, 75240, 61513, 50836, 57223, 50917, 50417, 68847, 64682, 54650, 52871, 57223, 58745, 61513, 50836, 57223, 78768, 68847, 61057, 61513, 50836, 52552, 50745, 50287, 50836, 50657, 50275, 50836, 59048, 75240, 50745, 50287, 51110, 50657, 50275, 51110, 59048, 50917, 50417, 52203, 64682, 52614, 52871, 59048, 59432, 52203, 78768, 50745, 50287, 50836, 50657, 50275, 50836, 57223, 61057, 50745, 50287, 51159, 50657, 50275, 51159, 59048, 50917, 52552, 53839, 57368, 52494, 64682, 53839, 54402, 52203, 58745, 52614, 78768, 76051, 50836, 59988, 61057, 50745, 50296, 50836, 74770, 50836, 52552, 50745, 50290, 50917, 50657, 50278, 50917, 50417, 52494, 50836, 52849, 50836, 62012, 64682, 50745, 50289, 50849, 50657, 50277, 59573, 52494, 50836, 52849, 50836, 62012, 61057, 50745, 50289, 50836, 50657, 50277, 50836, 52552, 50745, 50290, 50917, 50657, 50278, 50917, 50417, 52494, 50836, 52849, 50836, 62012, 64682, 50745, 50289, 50849, 50657, 50277, 59573, 52494, 50836, 52849, 50836, 62012, 61057, 50745, 50289, 50836, 50657, 50277, 50836, 52552, 50745, 50290, 50917, 50657, 50278, 50917, 50417, 52494, 50836, 52849, 50836, 62012, 64682, 50745, 50289, 50849, 50657, 50277, 59573, 52494, 50836, 52849, 50836, 62012, 61057, 50745, 50289, 50836, 50657, 50277, 50836, 52552, 52494, 50836, 52849, 50836, 50745, 50290, 50836, 50657, 50278, 50836, 62012, 75240, 52494, 50917, 52900, 50917, 50745, 50292, 50812, 50657, 50280, 50812, 58563, 50917, 50419, 50657, 50280, 54402, 52494, 50812, 52900, 50812, 55411, 50812, 58563, 54080, 50657, 50280, 61057, 67405, 50836, 52552, 54019, 50917, 53839, 50917, 50745, 50294, 50812, 50657, 50282, 50812, 61404, 50917, 50417, 50745, 50292, 50836, 50657, 50280, 64682, 54577, 50812, 52203, 50812, 50745, 50299, 50812, 59112, 50812, 61404, 59432, 54577, 50836, 52203, 50836, 50745, 50299, 50836, 59112, 50836, 61404, 55155, 50745, 50292, 50836, 50657, 50280, 61057, 50745, 50293, 50836, 67405, 50836, 52552, 54019, 50812, 53839, 50812, 50745, 50294, 50812, 50657, 50282, 50812, 61404, 57368, 50745, 50292, 50812, 50657, 50280, 52871, 54577, 50812, 52203, 50812, 50745, 50299, 50812, 59112, 50812, 61404, 54080, 50745, 50292, 50812, 50657, 50280, 50812, 52552, 54019, 50812, 53839, 50812, 50745, 50294, 50812, 50657, 50282, 50812, 61404, 57368, 50745, 50292, 50812, 50657, 50280, 52871, 54577, 50812, 52203, 50812, 50745, 50299, 50812, 59112, 50812, 61404, 54080, 50745, 50292, 50812, 50657, 50280, 50812, 52552, 52203, 50836, 56940, 50836, 50745, 50292, 50836, 50657, 50280, 50836, 56220, 75240, 52614, 50812, 69850, 50812, 50745, 50294, 50812, 50657, 50282, 50812, 56333, 72294, 52614, 50836, 63071, 50836, 50745, 50292, 50836, 50657, 50280, 50836, 56333, 54402, 52614, 50812, 69850, 50812, 50745, 50294, 50812, 50657, 50282, 50812, 56333, 54080, 50745, 50292, 50836, 50657, 50280, 61057, 50745, 50293, 50836, 67405, 50836, 52552, 54019, 50917, 53839, 50917, 50745, 50294, 50812, 50657, 50282, 50812, 67197, 50836, 61404, 50917, 50416, 67197, 58160, 50745, 50292, 50836, 50657, 50280, 50836, 67197, 64682, 54577, 50812, 52203, 50812, 50745, 50299, 50812, 59112, 50812, 67197, 50917, 61404, 59432, 54577, 50836, 52203, 50836, 50745, 50299, 50836, 59112, 50836, 61404, 55155, 50745, 50292, 50836, 50657, 50280, 50836, 54374, 61057, 50745, 50293, 50836, 67405, 50836, 54039, 50836, 52552, 54019, 50917, 53839, 50917, 50745, 50294, 50812, 50657, 50282, 50812, 67197, 50836, 61404, 50917, 50416, 67197, 57368, 50745, 50292, 50836, 50657, 50280, 64682, 54577, 50812, 52203, 50812, 50745, 50299, 50812, 59112, 50812, 67197, 50812, 61404, 59432, 54577, 50836, 52203, 50836, 50745, 50299, 50836, 59112, 50836, 54374, 50836, 61404, 55155, 50745, 50292, 50836, 50657, 50280, 50836, 67197, 61057, 50745, 50293, 50836, 67405, 50836, 52548, 50836, 52552, 54019, 50812, 53839, 50812, 50745, 50294, 50812, 50657, 50282 ]
[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 11, 230, 538, 6, 4246, 10, 13305, 14, 1974, 149, 10, 33215, 16739, 9, 274, 6, 272, 6, 8, 230, 119, 1176, 406, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 10, 20889, 9, 1510, 13410, 228, 2289, 6, 5, 2125, 7630, 6568, 10, 3344, 9, 2933, 8, 3722, 6711, 29, 6, 2905, 10686, 13, 10, 822, 19834, 50, 10, 657, 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 ]	[ 57528, 50876, 51958, 50325, 51585, 50871, 51469, 56546, 53585, 50876, 50980, 50447, 50931, 53153, 72862, 50876, 50980, 50453, 50951, 52935, 50999, 50806, 54960, 71064, 51226, 50999, 51226, 50997, 51196, 56546, 55224, 50951, 52322, 50900, 71064, 51285, 51081, 51285, 58365, 52610, 50906, 61805, 51160, 53011, 51645, 50456, 50871, 54863, 50997, 50821, 68928, 54296, 50851, 54734, 72066, 51274, 50900, 51274, 50877, 51274, 53941, 51449, 53011, 74818, 51085, 52247, 51027, 55224, 50861, 62596, 53585, 51027, 51196, 55513, 52610, 50871, 55982, 50861, 52935, 50877, 50806, 55524, 60599, 51285, 50876, 51285, 51234, 51196, 56248, 52309, 50871, 52322, 51085, 56294, 62596, 55451, 51026, 52610, 57002, 50877, 66728, 59908, 60216, 50906, 52935, 60437, 65585, 50900, 56277, 50876, 51160, 50876, 51307, 54734, 51469, 53502, 52247, 50877, 56501, 52309, 50951, 77535, 52322, 50861, 52692, 50876, 52610, 50877, 63037, 52931, 50861, 50806, 54662, 50821, 50876, 66147, 51050, 53113, 50876, 64151, 52500, 60718, 55658, 50871, 52749, 50871, 64110, 51189, 58365, 52610, 50900, 51160, 50459, 70835, 54960, 51519, 50292, 51274, 58060, 54080, 50876, 60412, 50876, 52749, 60437, 51026, 55246, 50861, 52841, 51315, 62667, 55441, 50900, 59908, 50861, 52955, 51315, 57442, 50849, 55694, 51519, 50297, 51274, 57340, 54080, 50906, 60412, 50876, 53308, 50900, 55246, 50876, 51191, 63451, 52692, 50900, 51274, 60027, 55874, 50906, 52955, 50876, 54421, 50876, 51191, 54197, 51469, 53502, 52500, 56546, 52309, 50931, 77535, 52322, 50877, 52692, 50876, 52610, 50968, 77535, 52931, 50871, 54863, 65585, 55435, 56501, 57743, 55419, 50876, 57743, 53765, 50902, 53308, 50871, 54125, 50899, 51226, 50871, 51191, 62335, 51196, 65851, 50896, 50459, 70835, 54960, 58963, 62667, 51958, 50292, 51274, 73401, 52871, 50876, 54080, 50876, 51124, 53645, 62667, 55224, 60437, 51026, 55246, 50876, 53470, 51315, 62667, 69152, 50861, 52597, 71356, 55895, 59908, 50861, 52955, 51315, 57442, 50849, 55694, 57743, 51958, 50297, 51274, 50900, 51274, 57340, 54080, 50906, 53466, 50871, 69460, 50876, 52749, 50900, 56501, 51191, 63451, 57926, 60599, 55451, 50900, 55967, 50876, 52848, 51315, 65332, 58263, 62596, 57024, 50951, 64774, 56277, 68278, 56229, 57743, 60599, 51958, 50294, 51274, 63766, 53466, 50931, 58963, 60599, 69460, 50902, 52749, 51027, 63037, 51189, 55898, 64110, 60599, 54526, 50899, 57926, 60599, 70388, 51147, 53702, 51120, 56277, 68278, 56807, 64774, 64110, 60599, 51958, 50292, 51469, 75536, 52871, 50931, 54080, 50931, 53466, 50900, 64110, 60599, 69460, 50931, 58926, 50902, 52841, 50931, 64774, 64110, 60599, 69152, 50902, 51124, 56415, 63720, 70388, 50861, 52163, 50877, 54934, 61673, 58479, 65872, 62571, 51958, 50291, 52500, 50420, 50951, 54080, 50951, 74592, 50973, 62571, 55224, 50931, 54125, 50951, 53470, 50861, 70512, 62571, 69152, 50931, 52597, 50902, 53794, 50861, 70512, 57024, 51324, 56277, 60437, 58479, 50812, 50876, 71064, 51958, 50292, 51274, 73290, 59573, 50951, 53466, 50876, 71064, 69460, 50931, 52749, 51026, 62656, 55965, 51085, 56501, 77079, 55451, 50900, 65332, 53794, 51279, 62656, 57669, 62596, 57024, 50951, 64774, 56277, 68278, 56229, 58801, 62571, 51958, 50290, 51274, 63766, 53466, 50951, 58801, 62571, 55224, 51234, 62656, 51189, 62204, 62219, 72676, 51196, 55513, 52610, 50900, 58891, 53532, 50871, 52163, 50861, 54934, 60437, 58479, 50812, 51050, 62596, 71064, 66281, 50951, 52871, 50951, 74592, 51315, 62596, 71064, 69460, 50931, 52749, 50999, 51124, 66240, 62596, 77079, 69152, 50931, 52597, 50999, 53794, 51085, 62656, 57669, 62596, 57024, 50951, 64774, 56277, 68278, 56229, 58801, 62571, 51958, 50290, 51274, 63766, 53466, 50951, 58801, 62571, 55224, 51234, 62656, 51189, 62204, 62219, 72676, 51274, 55513, 52610, 50900, 75209, 57024, 60437, 51315, 56277, 60437, 58479, 50812, 51050, 62596, 71064, 66281, 50951, 52871, 50951, 74592, 51315, 62596, 77079, 69460, 50931, 52749, 50999, 51124, 66240, 62596, 71064, 69152, 50931, 52597, 50999, 54672, 50951, 67081, 51085, 62596, 71064, 57024, 50951, 50849, 56807, 50812, 51234, 61505, 62571, 66281, 50931, 52871, 51050, 63037, 50849, 53337, 61505, 62656, 53308, 51026, 62656, 51189, 50861, 51196, 50968, 60655, 51085, 52692, 51026, 52610, 50916, 52931, 60437, 51085, 57442, 56277, 60437, 58479, 51519, 50294, 62571, 71064, 55419, 50951, 54080, 50951, 52710, 50931, 51519, 50292, 62596, 77079, 55224, 50999, 54125, 50951, 53470, 50973, 51274, 50902, 51274, 51324, 51469, 50441, 50931, 52597, 50951, 54672, 50931, 51189, 50456, 71433, 50902, 56277, 72822, 56807, 52774, 50902, 52247, 50861, 55224, 50931, 53470, 50931, 57669, 51196, 50876, 51196, 51085, 51469, 75795, 54672, 50876, 60976, 50906, 52955, 50906, 54421, 79724, 54578, 55419, 57002, 51027, 54901, 50877, 53466, 50900, 57200, 50876, 53308, 51026, 55246, 50876, 51191, 62335, 64110, 51196, 50906, 51196, 51085, 51469, 55895, 50896, 50459, 60437, 55435, 51167, 50876, 51110, 63686, 51167, 50931, 51110, 79580, 51167, 50968, 51110, 60496, 71064, 71064, 51103, 51247, 51469, 55513, 52610, 50877, 52931, 50876, 50806, 54594, 52774, 50876, 52247, 74231, 50931, 55104, 50951, 52686, 50999, 52322, 51234, 63037, 51274, 50999, 68249, 51050, 57024, 50899, 62656, 50806, 53997, 61505, 71064, 51958, 50326, 55419, 51026, 53765, 50877, 69270, 66734, 56014, 50806, 65281, 56057, 50876, 56501, 51800, 50285, 51469, 55513, 52610, 50877, 56501, 52931, 50951, 77535, 50806, 54594, 52774, 50876, 52247, 50877, 63037, 52309, 50861, 55246, 50871, 52841, 51234, 50821, 50876, 61772, 51050, 53247, 50876, 64151, 52500, 63932, 53702, 50871, 58963, 50896, 50459, 50871, 51191, 52591, 50861, 52247, 50900, 71832, 50871, 52841, 50876, 51519, 50292, 68249, 50876, 54672, 50876, 60976, 50876, 52955, 51026, 56501, 51124, 57551, 66281, 50876, 52871, 50861, 54080, 50861, 50914, 53523, 52309, 51315, 55246, 50877, 52841, 50906, 51519, 50297, 51274, 67964, 54672, 50906, 60976, 50876, 53702, 50900, 56277, 50876, 50914, 54197, 52774, 50900, 51274, 50423, 50871, 52710, 50877, 55658, 50906, 52749, 50876, 54125, 50876, 51191, 63451, 51469, 55513, 52500, 50450, 50876, 52931, 50931, 77535, 50806, 54852, 52774, 50876, 52247, 50968, 77535, 52309, 50871, 53660, 50876, 52877, 50997, 56501, 57743, 55451, 50876, 57743, 54526, 50902, 53702, 50871, 54421, 50871, 64815, 51226, 55435, 51196, 60564, 76883, 50871, 52841, 50876, 58963, 62667, 51958, 50292, 51274, 50441, 50876, 52597, 50876, 51124, 56415, 62667, 70388, 50876, 52955, 60437, 51026, 56277, 50876, 50849, 57551, 62667, 66281, 50861, 50914, 53523, 57200, 50861, 52749, 51315, 57442, 53470, 50906, 57743, 51958, 50297, 51274, 50900, 51274, 67964, 54672, 50906, 53794, 50871, 70388, 50876, 53702, 50900, 56277, 50876, 50914, 54197, 57926, 60599, 50896, 53502, 54901, 50876, 52710, 51315, 65332, 58263, 62596, 55224, 50951, 64774, 55246, 50951, 52841, 50931, 57743, 60599, 51958, 50294, 68249, 50931, 53794, 50931, 57743, 60599, 57024, 61673, 51027, 56277, 50931, 51191, 54206, 64110, 60599, 50896, 53337, 57926, 60599, 69460, 51147, 53308, 51120, 55246, 50951, 52841, 50931, 69214, 64110, 60599, 51958, 50292, 51469, 50444, 50931, 54672, 50931, 53794, 50900, 64110, 60599, 70388, 50931, 62355, 61673, 56229, 64774, 64110, 60599, 66281, 50902 ]
[ 0, 250, 765, 3495, 2214, 11, 83, 3694, 19, 10, 2933, 8, 3722, 26438, 1264, 6, 4246, 10, 15352, 30054, 4782, 14, 115, 28, 341, 11, 10, 822, 4, 85, 34, 41, 12447, 1001, 20889, 6, 10, 204, 73, 306, 86, 6543, 6, 8, 10, 33215, 16739, 9, 1918, 1176, 406, 6, 381, 6, 163, 119, 6, 1918, 6, 8, 230, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50899, 51492, 50877, 51646, 50931, 51923, 50968, 50795, 55331, 51646, 51028, 51923, 50902, 50795, 57289, 51736, 51028, 51646, 50877, 50795, 50796, 55898, 51492, 50877, 50795, 56229, 51736, 50968, 51646, 50902, 50795, 58540, 51736, 50902, 51646, 50968, 50795, 50796, 59419, 51492, 50877, 50795, 56807, 51736, 50931, 51646, 50968, 50795, 55331, 51736, 50968, 51646, 50931, 51923, 50968, 50795, 55331, 50795, 54578, 51492, 50877, 51646, 50877, 51923, 50906, 50795, 54960, 50795, 54960, 51646, 50876, 51923, 50906, 50795, 54852, 50795, 54206, 57543, 51631, 50899, 52424, 50899, 59351, 51798, 50899, 53312, 50968, 50795, 54206, 56831, 51631, 50899, 52424, 50899, 63057, 51798, 50899, 53312, 50902, 50795, 54206, 59900, 51631, 50899, 53182, 51028, 51646, 50899, 57543, 50795, 50796, 55898, 57543, 51798, 50899, 50807, 54206, 59351, 51631, 50899, 53182, 50968, 51646, 50899, 56831, 51798, 50899, 50807, 54206, 63057, 51631, 50899, 53182, 50902, 51646, 50899, 59900, 51798, 50899, 50807, 50796, 59419, 57543, 51798, 50916, 50807, 55524, 61241, 51631, 50916, 53182, 50931, 51646, 50916, 59900, 51798, 50916, 50807, 55524, 56831, 51631, 50916, 53182, 50968, 51646, 50916, 59351, 51798, 50916, 53312, 50968, 50795, 55524, 56831, 50795, 54578, 57543, 51631, 50871, 52424, 50871, 57543, 51798, 50871, 53312, 50906, 50795, 54578, 55695, 51631, 50871, 52424, 50871, 52728, 50871, 50807, 54578, 55695, 51631, 50871, 52424, 50871, 55695, 51798, 50871, 53312, 50906, 50795, 54578, 57543, 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, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 15229, 7630, 6568, 10, 1472, 9, 15073, 8, 9066, 9733, 4, 27901, 10, 4066, 20535, 8, 5627, 9428, 12547, 217, 326, 5638, 18026, 6, 17465, 102, 6, 17691, 28430, 6, 32909, 6, 8, 1076, 560, 31365, 25999, 6, 24, 30853, 11, 274, 3694, 23, 10, 7212, 20889, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 9, 12608, 6, 163, 428, 6, 8, 230, 119, 6, 1271, 7, 63, 16487, 1943, 648, 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 ]	[ 56103, 54922, 51445, 52251, 51445, 51673, 51445, 69766, 50981, 52926, 51445, 51784, 51445, 51993, 51445, 52656, 51445, 63352, 50995, 52264, 51445, 52629, 51243, 52541, 51445, 53456, 51445, 53542, 51445, 51947, 51445, 53994, 51237, 53994, 51313, 52324, 59579, 51097, 51769, 58187, 69766, 50995, 63352, 50915, 53994, 50896, 52324, 54214, 70946, 54498, 69766, 50915, 63352, 50915, 53994, 50896, 52324, 54214, 70946, 57105, 69766, 50915, 63352, 50915, 53994, 51090, 52324, 57825, 62211, 50995, 50799, 54922, 51518, 52251, 51518, 51673, 51518, 69766, 50981, 52926, 51422, 51784, 51692, 51993, 51692, 52656, 51692, 63352, 50915, 52264, 51692, 52629, 51692, 52541, 51486, 53456, 51518, 53542, 51692, 51947, 51422, 53994, 50824, 53994, 51692, 52324, 52299, 50981, 51769, 55973, 69766, 50915, 63352, 50981, 53994, 51090, 52324, 57825, 70946, 56656, 69766, 50915, 63352, 50915, 53994, 51090, 52324, 57825, 62211, 57105, 69766, 50981, 63352, 50981, 53994, 50896, 52324, 54214, 70946, 58667, 52656, 50833, 52377, 50833, 52377, 54421, 51979, 50812, 51866, 50812, 51866, 50812, 50799, 68644, 51145, 51978, 50849, 55297, 51145, 51702, 50849, 51702, 50805, 53994, 51145, 52324, 50937, 51206, 52115, 51978, 50859, 51702, 50800, 51702, 50859, 52324, 56522, 61544, 51978, 50800, 51702, 50800, 51702, 51620, 51978, 50805, 51702, 50805, 51702, 50805, 52324, 56522, 54100, 51978, 50808, 51702, 50808, 51702, 50800, 52324, 56522, 60234, 51978, 50800, 51702, 50800, 51702, 51724, 69766, 51145, 52656, 50893, 56381, 51145, 52377, 50893, 52377, 50893, 56542, 51145, 52324, 56522, 53969, 51978, 50812, 51702, 50812, 51702, 50812, 52324, 56522, 59956, 51978, 50800, 51702, 50808, 51702, 51757, 51978, 50805, 51702, 50805, 51702, 50795, 52324, 56522, 54771, 52656, 50859, 52377, 50859, 52377, 50859, 52324, 56522, 59097, 52436, 50858, 52178, 50858, 52178, 50858, 50799, 55008, 51127, 52380, 50879, 59378, 51127, 52194, 50879, 52194, 50879, 56380, 51127, 55515, 57837, 55099, 52380, 50859, 52194, 50859, 52194, 50859, 55515, 57837, 58861, 52380, 50808, 52194, 50808, 52194, 51620, 52380, 50795, 52194, 50795, 52194, 50795, 55515, 57837, 53387, 52656, 50854, 52377, 50854, 52377, 50812, 55515, 57837, 60234, 71229, 52178, 50800, 52178, 54773, 61331, 51183, 52380, 50893, 55329, 51183, 52194, 50893, 52194, 50893, 55145, 51183, 52820, 55325, 55103, 52436, 50833, 52178, 50833, 52178, 50812, 52820, 55325, 59956, 52436, 50808, 52178, 50808, 52178, 51757, 52436, 50795, 52178, 50805, 52178, 50795, 52820, 55325, 54771, 57436, 50874, 52251, 50874, 52251, 50874, 52933, 50827, 52933, 50874, 54061, 50874, 52264, 50827, 52264, 50827, 52541, 50874, 53542, 50874, 56380, 50851, 58002, 50851, 52820, 55325, 62533, 54515, 50874, 51565, 50874, 51565, 50822, 51950, 50827, 51950, 50874, 52372, 50822, 51579, 50874, 51579, 50822, 51946, 50822, 53266, 50822, 54552, 50827, 55938, 50827, 50799, 54157, 51148, 51606, 51080, 51606, 51148, 68644, 51183, 51802, 51244, 51802, 51244, 51993, 51244, 55297, 51183, 51509, 51244, 51509, 51148, 51996, 51244, 53456, 51080, 53994, 51244, 53994, 51183, 55936, 51244, 52324, 50977, 51769, 56763, 51978, 50833, 51702, 50854, 51702, 50833, 52324, 57837, 69596, 51978, 50808, 51702, 50812, 51702, 52450, 51978, 50795, 51702, 50795, 51702, 50795, 52324, 57837, 54100, 51978, 50808, 51702, 50808, 51702, 50800, 52324, 57837, 58952, 51978, 50859, 51702, 50808, 51702, 54773, 69766, 51047, 52656, 50893, 56381, 51047, 52377, 50893, 52377, 50893, 56542, 51047, 52324, 55325, 53999, 51978, 50812, 51702, 50812, 51702, 50808, 52324, 55325, 60785, 51978, 50808, 51702, 50808, 51702, 51757, 51978, 50795, 51702, 50795, 51702, 50795, 52324, 55325, 53586, 52656, 50821, 52377, 50859, 52377, 50821, 52324, 55325, 60977, 52436, 50858, 52178, 50858, 52178, 50821, 50799, 55008, 51103, 52380, 50879, 59378, 51103, 52194, 50879, 52194, 50893, 56380, 51103, 55515, 50937, 51769, 52115, 52380, 50800, 52194, 50800, 52194, 50800, 55515, 56522, 69596, 52380, 50808, 52194, 50808, 52194, 51620, 52380, 50795, 52194, 50805, 52194, 50795, 55515, 56522, 54100, 52656, 50833, 52377, 50833, 52377, 50812, 55515, 56522, 60282, 52436, 50859, 51866, 50808, 52178, 54773, 61331, 51047, 52380, 50893, 55329, 51047, 51866, 50918, 52194, 51356, 55145, 51047, 52820, 56522, 55103, 52820, 56522, 55125, 52820, 56522, 54771, 57436, 50907, 53320, 50907, 52251, 50907, 52926, 50907, 52933, 50907, 54061, 50907, 52656, 50907, 52264, 50907, 52264, 50912, 52541, 50851, 58002, 50907, 52820, 56522, 60977, 54515, 50851, 52182, 50851, 51565, 50851, 52278, 50851, 51950, 50851, 52372, 50851, 51979, 50851, 51579, 50912, 51579, 50851, 51946, 50912, 55938, 50851, 50799, 54157, 50972, 53124, 50972, 51606, 50972, 52714, 50972, 51802, 50972, 68644, 50943, 51993, 50972, 51978, 50972, 55297, 50943, 51509, 51079, 51509, 50972, 51996, 51079, 53456, 51333, 55936, 50972, 53994, 50943, 52324, 50866, 51206, 52115, 54157, 50827, 53124, 50827, 51606, 50827, 52714, 50827, 51802, 50827, 51993, 50827, 51978, 50827, 51509, 50827, 51509, 50827, 51996, 50851, 55936, 50827, 52324, 55325, 61544, 54157, 50851, 53124, 50851, 51606, 50851, 52714, 50851, 51802, 50851, 51993, 50851, 51978, 50851, 51509, 50851, 51509, 50851, 51996, 50851, 55936, 53220, 54157, 50972, 53124, 50972, 51606, 50972, 52714, 50972, 51802, 50972, 55008, 51003, 51993, 50972, 51978, 50972, 55297, 51003, 51509, 50972, 51509, 50972, 51996, 50838, 51947, 51097, 55936, 50972, 55184, 51003, 52324, 55325, 54100, 54157, 50827, 53124, 50827, 51606, 50827, 52714, 50827, 51802, 50827, 51993, 50827, 51978, 50827, 51509, 50851, 51509, 50827, 51996, 50851, 55936, 50827, 52324, 55325, 60234, 54157, 50827, 53124, 50827, 51606, 50827, 52714, 50827, 51802, 50827, 51993, 50827, 51978, 50827, 51509, 50851, 51509, 50827, 51996, 50827, 55936, 52788, 57436, 50905, 53320, 50905, 52251, 50905, 52926, 50905, 52933, 50905, 69766, 50915, 54061, 50905, 52656, 50905, 56381, 50915, 51509, 50972, 52264, 50905, 52541, 50974, 56760, 51330, 58002, 50905, 56542, 50915, 52324, 57837, 53969, 54157, 50912, 53124, 50912, 51606, 50912, 52714, 50912, 51802, 50912, 51993, 50912, 51978, 50912, 51509, 50912, 51509, 50912, 51996, 50912, 55936, 50912, 52324, 57837, 59956, 54157, 50851, 53124, 50851, 51606, 50851, 52714, 50851, 51802, 50851, 51993, 50851, 51978, 50851, 51509, 50851, 51509, 50827, 51996, 50827, 55936, 53567, 54157, 50838, 53124, 50838, 51606, 50838, 52714, 50838, 51802, 50838, 57382, 50914, 51993, 50838, 51978, 50838, 59441, 50914, 51509, 50838, 51509, 50838, 51996, 50972, 52701, 50995, 55936, 50838, 60177, 50914, 52324, 57837, 54771, 57436, 50827, 53320, 50827, 52251, 50827, 52926, 50827, 52933, 50827, 54061, 50827, 52656, 50827, 52264, 50827, 52264, 50874, 52541, 50874, 53542, 50874, 52377, 50874, 58002, 50827, 52324, 57837, 59097, 55111, 50874, 52315, 50874, 51827, 50874, 52186, 50874, 52624, 50874, 54761, 50874, 52436, 50874, 52336, 50874, 52336, 50874, 52032, 50827, 52339, 50827, 52178, 50827, 57778, 50874, 50799, 54922, 50838, 51752, 50838, 51673, 50838, 51784, 50838, 52857, 50838, 68644, 51003, 56056, 50838, 52380, 50838, 55297, 51003, 52629, 50838, 52629, 50974, 51836, 50974, 51947, 50974, 52194, 50974, 54461, 51108, 55520, 50838, 55145, 51003, 55515 ]
[ 0, 250, 182, 1769, 12, 20764, 8, 17627, 17274, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 5730, 2342, 4467, 6, 21072, 6, 8, 38668, 22052, 4, 20, 2125, 16, 278, 11, 5, 762, 9, 230, 10431, 3694, 8, 34, 10, 204, 73, 306, 86, 6543, 4, 13231, 5, 2214, 6, 5, 40286, 230, 10431, 119, 6, 83, 6, 8, 163, 32, 5705, 6636, 6, 2351, 10, 33558, 8, 2365, 12, 6928, 5466, 1969, 13, 5, 1619, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50639, 50799, 52093, 51544, 50828, 51570, 53035, 52093, 63649, 65762, 57955, 66756, 54018, 53098, 51017, 65762, 57955, 68814, 55410, 52823, 54261, 53962, 51017, 65762, 57955, 66756, 54018, 54485, 51017, 65762, 57955, 66756, 54018, 53421, 51017, 65762, 57955, 68814, 55410, 52539, 54261, 54719, 51017, 65762, 57955, 66756, 54018, 50928, 63649, 65762, 57955, 66756, 54018, 53098, 51017, 65762, 57955, 68814, 55410, 52823, 54261, 53962, 51017, 65762, 57955, 66756, 54018, 54485, 51017, 65762, 57955, 66756, 54018, 53421, 51017, 65762, 57955, 68814, 55410, 52539, 54261, 54719, 51017, 65762, 57955, 66756, 54018, 50928, 57126, 53700, 50877, 53700, 51028, 53700, 51213, 51091, 51017, 51003, 50944, 51267, 52582, 51449, 51701, 51243, 52736, 51449, 51236, 52703, 57532, 53432, 57056, 72681, 56063, 53896, 51017, 57482, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51125, 58672, 51213, 51291, 51125, 51267, 72681, 50944, 51400, 51236, 52703, 54425, 78694, 51017, 51255, 50438, 50913, 54715, 53239, 50850, 57482, 62361, 50977, 51236, 52703, 54425, 55038, 51017, 57482, 50977, 58752, 51270, 55410, 52532, 53332, 69254, 56086, 51125, 59960, 56574, 69320, 58752, 64177, 51236, 52703, 54425, 51129, 50457, 51017, 50977, 54206, 53700, 50989, 53700, 50877, 53700, 50927, 51091, 62224, 50944, 51267, 52016, 51243, 52582, 51449, 51701, 51449, 51236, 52703, 54715, 57056, 72681, 56063, 53896, 50848, 57482, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51007, 58672, 50927, 51291, 51007, 51267, 72681, 50944, 51400, 51236, 52703, 54425, 78694, 74223, 50438, 50913, 54715, 53239, 50850, 57482, 55711, 50977, 51236, 52703, 54425, 55038, 50848, 57482, 50977, 58752, 51270, 55410, 52532, 53332, 69254, 56086, 51007, 59960, 55564, 75734, 58752, 64177, 51236, 52703, 54425, 51129, 50457, 59082, 54852, 53265, 50916, 53700, 50973, 53700, 51019, 51091, 61560, 72681, 52091, 51449, 51701, 51637, 52252, 51449, 51236, 52703, 54390, 57056, 50935, 51267, 56063, 53896, 50868, 56219, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 62728, 51149, 58672, 50965, 55044, 51019, 51291, 51149, 51267, 50935, 51267, 50992, 51400, 52398, 52168, 51236, 52703, 54425, 78694, 77111, 50438, 50913, 54715, 53239, 50935, 59344, 55905, 50977, 51236, 52703, 54425, 55038, 50868, 59344, 50977, 62728, 51270, 55410, 52532, 53332, 69254, 56086, 51149, 59960, 56574, 51149, 50977, 62728, 50992, 50977, 51236, 52703, 54425, 51129, 50457, 64525, 57126, 53700, 50877, 53700, 51028, 53700, 51213, 51091, 51017, 51003, 50944, 51267, 52582, 51449, 51701, 51243, 52736, 51449, 51236, 52703, 54715, 57056, 72681, 56063, 53896, 51017, 57482, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51125, 58672, 51213, 51291, 51125, 51267, 72681, 50944, 51400, 51236, 52703, 54425, 78694, 51017, 51255, 50438, 50913, 54715, 53239, 50850, 57482, 62361, 50977, 51236, 52703, 54425, 55038, 51017, 57482, 50977, 58752, 51270, 55410, 52532, 53332, 69254, 56086, 51125, 59960, 56574, 69320, 58752, 64177, 51236, 52703, 54425, 51129, 50457, 51017, 50977, 54206, 53700, 50989, 53700, 50877, 53700, 50927, 51091, 62224, 50944, 51267, 52016, 51243, 52582, 51449, 51701, 51449, 51236, 52703, 54390, 57056, 72681, 56063, 53896, 50848, 57482, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51007, 58672, 50927, 51291, 51007, 51267, 72681, 50944, 51400, 51236, 52703, 54425, 78694, 74223, 50438, 50913, 54715, 53239, 50850, 57482, 55711, 50977, 51236, 52703, 54425, 55038, 50848, 57482, 50977, 58752, 51270, 55410, 52532, 53332, 69254, 56086, 51007, 59960, 55564, 75734, 58752, 64177, 51236, 52703, 54425, 51129, 50457, 59082, 54852, 53265, 50916, 53700, 50973, 53700, 51019, 51091, 61560, 72681, 52091, 51449, 51701, 51637, 52252, 51449, 51236, 52703, 54715, 57056, 50935, 51267, 56063, 53896, 50868, 56219, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 62728, 51149, 58672, 50965, 55044, 51019, 51291, 51149, 51267, 50935, 51267, 50992, 51400, 52398, 52168, 51236, 52703, 54425, 78694, 77111, 50438, 50913, 54715, 53239, 50935, 59344, 55905, 50977, 51236, 52703, 54425, 55038, 50868, 59344, 50977, 62728, 51270, 55410, 52532, 53332, 69254, 56086, 51149, 59960, 56574, 51149, 50977, 62728, 50992, 50977, 51236, 52703, 54425, 51129, 50457, 64525, 54852, 53700, 51028, 53700, 51011, 51091, 51017, 51003, 50868, 51267, 51701, 51243, 52736, 51449, 51236, 52703, 54390, 57056, 50916, 53700, 72681, 52091, 51449, 56063, 53896, 51017, 55905, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51125, 58672, 51011, 51291, 51125, 51267, 72681, 50868, 51400, 51236, 52703, 54425, 78694, 51017, 51255, 50438, 50913, 54715, 53239, 50850, 55905, 62361, 50977, 51236, 52703, 54425, 55038, 51017, 55905, 50977, 58752, 51270, 55410, 52532, 53332, 69254, 56086, 51125, 59960, 56574, 69320, 58752, 64525, 51236, 52703, 54425, 51129, 50457, 51017, 50977, 54578, 53700, 50965, 53700, 51028, 53700, 51228, 51091, 51017, 51003, 78762, 51821, 51449, 52398, 51449, 52736, 51449, 51236, 52703, 54715, 57056, 50992, 51267, 56063, 53896, 51017, 56204, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 50992, 50977, 51125, 58672, 51228, 51291, 51125, 51267, 50992, 51267, 50872, 51400, 51236, 52703, 54425, 78694, 51017, 51255, 50438, 50913, 54715, 53239, 50992, 56204, 62361, 50977, 51236, 52703, 54425, 55038, 51017, 56204, 50977, 50992, 50977, 51270, 55410, 52532, 53332, 69254, 56086, 51125, 59960, 51228, 63468, 50977, 50992, 50977, 59458, 51236, 52703, 54425, 51129, 50457, 51017, 50977, 57126, 53700, 50877, 53700, 51028, 53700, 51213, 51091, 51017, 51003, 50944, 51267, 52582, 51449, 51701, 51243, 52736, 51449, 51236, 52703, 54390, 57056, 72681, 50420, 55667, 77048, 53896, 51017, 57482, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51125, 58672, 51213, 51291, 51125, 51267, 72681, 50944, 51400, 55667, 50923, 51236, 52703, 54425, 78694, 51017, 51255, 50438, 50913, 54715, 53239, 50850, 57482, 62361, 50977, 55667, 50923, 51236, 52703, 54425, 55038, 51017, 57482, 50977, 58752, 55667, 50923, 51270, 55410, 52532, 53332, 69254, 56086, 51125, 59960, 56574, 69320, 58752, 64177, 53200, 51354, 51236, 52703, 54425, 51129, 50457, 51017, 50977, 54206, 53700, 50989, 53700, 50877, 53700, 50927, 51091, 62224, 50944, 51267, 52016, 51243, 52582, 51449, 51701, 51449, 51236, 52703, 54715, 57056, 72681, 50420, 53200, 77048, 53896, 50848, 57482, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51007, 58672, 50927, 51291, 51007, 51267, 72681, 50944, 51400, 53200, 50923, 51236, 52703, 54425, 78694, 74223, 50438, 50913, 54715, 53239, 50850, 57482, 55711, 50977, 53200, 50923, 51236, 52703, 54425, 55038, 50848, 57482, 50977, 58752, 55667, 50923, 51270, 55410, 52532, 53332, 69254, 56086, 51007, 59960, 55564, 75734, 58752, 64177, 55857, 51054, 51236, 52703, 54425, 51129, 50457, 59082, 54852, 53265, 50916, 53700, 50973, 53700, 51019, 51091, 61560, 72681, 52091, 51449, 51701, 51637, 52252, 51449, 51236, 52703, 54390, 57056, 50935, 51267, 56063, 53896, 50868, 56219, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 62728, 51149, 58672, 50965, 55044, 51019, 51291, 51149, 51267, 50935, 51267, 50992, 51400, 55857, 50923, 52398, 52168, 51236, 52703, 54425, 78694, 77111, 50438, 55857, 77048, 54715, 53239 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21072, 6, 1076, 560, 31365, 25999, 6, 8, 38668, 22052, 4, 8504, 11, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 163, 119, 406, 6, 83, 73, 347, 10431, 6, 211, 6, 83, 6, 8, 211, 3639, 7, 63, 19448, 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 ]	[ 57739, 50417, 50770, 50325, 53174, 50451, 52886, 52024, 50452, 64298, 52024, 50453, 52016, 56300, 52582, 54153, 51701, 54834, 67779, 57098, 51198, 51014, 51494, 50823, 50927, 59939, 50460, 51198, 50904, 51494, 50836, 51601, 50630, 50418, 51198, 50855, 51494, 68212, 51198, 51483, 51494, 50975, 50436, 51232, 50962, 51099, 73366, 51494, 50882, 51119, 50882, 50448, 51099, 51286, 51429, 51483, 50460, 51494, 51354, 51119, 51388, 60212, 51232, 50923, 51099, 78422, 51198, 50894, 51494, 51045, 50442, 66777, 50448, 51280, 51500, 51232, 51454, 51205, 78765, 51083, 52140, 51118, 51677, 52626, 51717, 50452, 51089, 51933, 59151, 51717, 50453, 52233, 53520, 52091, 56300, 51678, 56300, 67779, 57098, 50964, 53002, 50460, 51280, 50829, 51232, 50829, 52478, 51280, 50809, 51232, 67596, 51280, 51021, 51232, 51505, 50436, 51198, 50882, 51494, 50950, 50442, 51232, 50894, 51099, 51045, 50448, 51494, 51354, 51119, 51483, 50460, 51232, 51354, 51099, 51379, 60212, 51198, 51286, 51494, 51505, 50426, 50770, 50323, 51407, 50436, 51280, 50893, 51232, 51173, 53615, 73431, 52190, 64223, 52040, 51354, 51198, 51653, 53499, 52121, 50449, 61052, 52121, 50453, 54549, 54153, 52016, 54153, 51678, 53520, 67779, 50825, 51633, 51603, 50454, 51443, 51732, 50460, 52040, 50835, 76348, 52177, 51633, 51014, 50418, 52040, 50840, 51198, 54007, 51633, 51735, 50424, 52040, 50923, 51198, 75993, 52113, 51138, 50436, 51847, 50962, 51232, 68491, 53179, 51033, 50442, 51198, 51033, 51494, 59981, 52372, 51237, 50448, 51232, 51354, 51099, 51483, 50459, 53179, 51054, 50460, 51198, 51379, 51494, 51483, 57731, 52113, 51237, 50424, 51847, 51235, 51232, 69464, 51633, 51226, 50436, 52040, 51388, 51198, 51483, 50447, 52226, 51735, 50448, 51708, 51427, 51847, 51460, 50451, 52430, 52122, 50452, 55815, 52122, 50453, 53496, 53295, 52091, 55428, 51701, 55277, 67779, 57098, 51069, 54217, 50459, 52226, 77741, 51708, 50886, 51847, 50862, 52177, 52226, 51033, 50418, 51708, 50808, 51847, 55884, 52226, 51735, 50424, 51708, 50858, 51847, 51014, 50435, 51633, 51566, 50436, 52040, 51388, 51198, 51483, 50447, 52113, 51735, 50448, 51847, 51175, 51232, 51354, 50459, 53179, 51454, 50460, 51198, 50893, 51494, 51286, 57731, 52372, 51016, 50424, 52040, 51021, 51198, 51021, 51099, 63385, 53128, 51735, 50436, 51847, 51661, 51232, 51300, 51119, 51285, 52190, 54735, 51113, 50844, 51284, 50844, 50442, 52190, 79470, 52267, 51357, 50810, 51558, 50810, 52372, 55686, 51488, 50810, 51905, 62924, 51019, 53938, 51266, 50827, 51733, 62970, 52430, 52122, 50452, 55815, 52122, 50453, 55500, 53413, 53496, 55482, 52091, 55277, 51284, 52204, 52487, 52204, 67779, 57098, 51011, 51492, 50459, 51667, 51030, 52226, 51138, 50460, 51708, 50948, 51847, 50948, 52177, 51667, 50940, 52226, 51014, 50418, 51708, 50910, 51847, 68018, 51667, 51290, 52226, 51566, 50424, 51708, 50948, 51847, 73073, 52135, 51055, 51633, 51454, 50436, 52040, 51388, 51198, 51505, 50447, 52226, 51566, 52113, 51735, 50448, 51847, 50806, 51232, 51505, 50453, 51701, 54829, 50459, 51633, 51566, 53179, 51735, 50460, 51198, 51173, 51494, 51379, 57731, 52113, 50896, 52372, 51054, 50424, 51232, 51014, 51099, 57907, 53179, 50855, 52372, 51472, 54761, 50840, 56746, 52195, 50436, 51198, 51016, 51099, 51090, 51429, 51016, 53615, 67760, 52190, 51010, 50448, 53615, 56883, 52016, 52122, 52582, 52250, 51701, 52096, 50946, 50805, 53179, 51151, 53128, 51353, 50454, 51198, 51939, 51494, 51422, 51119, 51662, 50927, 56082, 50459, 50848, 50901, 50460, 51217, 50893, 52177, 50868, 50845, 50418, 51506, 53471, 50944, 51013, 50424, 50946, 71700, 50868, 50896, 50436, 51217, 50879, 50442, 51506, 59414, 50946, 51013, 50448, 50848, 76679, 50848, 50873, 50460, 51217, 50849, 52177, 50868, 50805, 50418, 51506, 63867, 50944, 51157, 50424, 71209, 50430, 51011, 51016, 50435, 50868, 51157, 50436, 51217, 50911, 50442, 51069, 51016, 51506, 53658, 50946, 50807, 50448, 59769, 50453, 55500, 55428, 52016, 55482, 52582, 53295, 50454, 50927, 54300, 50459, 50848, 50873, 50460, 51217, 50795, 52177, 67593, 50418, 51506, 57572, 50944, 50889, 50424, 50946, 51016, 50435, 50868, 50807, 50436, 51217, 50879, 50442, 51506, 53658, 50946, 50807, 50448, 59769, 50459, 50848, 50873, 50460, 51217, 50911, 52177, 72803, 50418, 51506, 53471, 50944, 50889, 50424, 50946, 51016, 50435, 60104, 50436, 51019, 51554, 50296, 50849, 50442, 51213, 51834, 50298, 65586, 50848, 50873, 50448, 50927, 57046, 60976, 54549, 51397, 52016, 51448, 51678, 51413, 50847, 50873, 50454, 50953, 52311, 50459, 68690, 52177, 50848, 50838, 51083, 64736, 77830, 51020, 58746, 52233, 50917, 52091, 50805, 51678, 54180, 51328, 50868, 51178, 69384, 51089, 51073, 51118, 51013, 50442, 51232, 50924, 51099, 50940, 51153, 51021, 50964, 51932, 50453, 55500, 50820, 54549, 52069, 52016, 51714, 51678, 51945, 50847, 51419, 50848, 51452, 51042, 51518, 51083, 51790, 51595, 51742, 50454, 51198, 52392, 51099, 52536, 51429, 52500, 51443, 52369, 52177, 50935, 61544, 70794, 50427, 53779, 54986, 50847, 61772, 78547, 50448, 51011, 60976, 52016, 51244, 52582, 51742, 51701, 51675, 50944, 50849, 50454, 50927, 52827, 50459, 50946, 50873, 51282, 50940, 52177, 72803, 51083, 56299, 50944, 51218, 51268, 59779, 54549, 51100, 52016, 51177, 51678, 51100, 51042, 51124, 50847, 51377, 72755, 75829, 51595, 50849, 50442, 51198, 50808, 78891, 51429, 50887, 69871, 50453, 55500, 52071, 52016, 52431, 52582, 51662, 50944, 51417, 50946, 51677, 51282, 51148, 51083, 51145, 51268, 51742, 50454, 51198, 51790, 51494, 51623, 51119, 51896, 50927, 52266, 57731, 60104, 50435, 50944, 51115, 50448, 51019, 51798, 52091, 51714, 51701, 53142, 50453, 53496, 52151, 50946, 50873, 50454, 51011, 54454, 50459, 51042, 50873, 51023, 51128, 52177, 73770, 51385, 55155, 50850, 51013, 50435, 51042, 60132, 51017, 50901, 51185, 50910, 51208, 50978, 50447, 50850, 63433, 53496, 55086, 52091, 53588, 52736, 53142, 51023, 51675, 51385, 51358, 50459, 51042, 50892, 52177, 51017, 75827, 62781, 50424, 51415, 51138, 50430, 70701, 53779, 50983, 69983, 61023, 51042, 50849, 50436, 69983, 59846, 51017, 50873, 50442, 51069, 51932, 69983, 54847, 50850, 50892, 50448, 69983, 56782, 52016, 52121, 52582, 52122, 51701, 52250, 50944, 57468, 52885, 50820, 51944, 53380, 51440, 54454, 51669, 53753, 50454, 62644, 50726, 50342, 59022, 50946, 50879, 51983, 50460, 51282, 50813, 50726, 50342, 50855, 52177, 57724, 51762, 50418, 51083, 50930, 50726, 50342, 56037, 50944, 50889, 52553, 78572, 50927, 50870, 51089, 51072, 50726, 50342, 56789, 55389, 59971, 50927, 51745, 50726, 50342, 55643, 79493, 59526, 50436, 51083, 50846, 50726, 50342, 65246, 53642, 60547, 51282, 50867, 50726, 50342, 70853, 50946, 59348, 51004, 50448, 51023, 51551, 50453, 51320, 60053, 50927, 51241, 50459, 50848, 56522, 51004, 52177, 50868, 50901, 68436, 67766, 52553, 78572, 51213, 58288, 55389, 59971, 51011, 51054, 69983, 61023, 50868, 54881, 78573, 69983, 57108, 53642, 58655, 51069, 51603, 69983, 54492, 50946, 55859, 51004, 50448, 69983, 58207, 55500, 55068, 52016, 55408, 52582, 55068, 51320, 50846, 51944, 56082, 51440, 58690, 51669, 57508, 50454, 50927, 51237, 50726, 50342, 53793, 50848, 54068, 77054, 51282, 50836, 50726, 50342, 50813, 52177, 64525, 51762, 50418, 51083, 50961, 50726, 50342, 57559, 67766 ]
[ 0, 250, 19448, 5175, 25771, 2214, 4246, 10, 13305, 6, 21072, 6, 5730, 2342, 4467, 6, 38668, 3038, 6, 8, 18558, 6, 2351, 10, 15352, 30054, 8, 5679, 26709, 5466, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 10, 7212, 20889, 9, 13156, 13410, 228, 2289, 6, 19, 10, 33215, 13931, 9, 274, 6, 12608, 6, 274, 6, 272, 119, 6, 8, 1918, 406, 428, 245, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 53028, 52946, 51544, 51862, 51570, 50984, 52320, 50912, 50799, 53511, 54373, 54638, 54373, 55931, 54373, 64679, 54373, 67932, 54373, 66681, 54373, 50796, 50796, 60139, 50972, 56089, 60140, 50928, 52399, 58362, 52587, 54923, 56128, 51306, 51544, 60140, 54075, 50843, 58806, 63795, 52588, 68825, 54083, 61573, 52787, 52691, 54186, 51589, 60238, 57972, 58189, 53783, 50843, 55335, 63640, 52588, 51123, 50449, 54083, 56881, 52787, 57261, 51187, 79949, 54186, 50907, 50452, 58189, 55162, 53149, 59810, 53816, 59506, 52588, 51832, 50461, 54083, 51832, 60139, 51328, 52787, 50363, 50966, 51464, 60140, 51004, 50415, 54186, 51550, 50416, 58189, 51550, 52399, 58362, 52587, 50862, 52588, 50359, 50966, 56128, 72375, 54083, 52794, 50426, 52787, 52794, 50791, 60140, 78342, 54186, 52462, 50428, 58189, 52462, 58932, 58806, 51258, 51570, 60238, 53114, 50843, 55335, 51129, 51955, 51187, 54719, 55252, 57564, 53816, 50982, 79333, 51101, 56089, 60140, 54605, 54083, 51004, 52787, 62652, 58362, 55090, 55234, 56128, 54953, 54083, 51319, 52787, 55181, 60140, 53962, 52588, 50907, 54083, 60983, 58806, 55379, 52588, 50984, 54083, 51524, 50791, 60238, 52875, 54705, 51252, 52588, 64930, 55335, 55038, 54705, 51550, 52588, 51365, 57653, 54719, 55090, 62977, 53816, 50982, 52308, 50275, 55732, 51464, 60140, 57311, 52631, 50907, 53368, 50368, 51163, 58362, 55252, 53303, 56128, 57395, 52631, 50827, 53368, 67700, 60140, 53670, 53350, 51123, 52631, 50368, 51163, 58806, 54203, 53350, 51297, 52631, 53600, 60238, 53114, 53350, 51862, 50843, 55335, 55038, 53812, 52946, 53350, 51210, 57653, 54719, 53149, 62977, 53816, 50982, 60139, 51212, 65852, 52829, 56089, 60140, 50928, 52399, 58362, 52587, 54438, 56128, 51306, 51544, 60140, 54075, 50843, 58806, 63795, 52588, 68825, 54083, 61573, 52787, 52691, 54186, 50822, 61571, 69103, 70126, 69103, 60531, 69103, 50791, 60238, 57972, 58189, 53783, 50843, 55335, 63640, 52588, 51123, 50449, 54083, 56881, 52787, 57261, 51187, 79949, 54186, 50907, 50452, 58189, 55162, 53149, 73783, 53816, 59506, 52588, 51832, 50461, 54083, 51832, 60139, 51242, 52787, 50363, 50966, 51464, 60140, 51004, 50415, 54186, 51550, 50416, 58189, 51550, 52399, 58362, 52587, 50886, 52588, 50359, 50966, 56128, 72375, 54083, 52794, 50426, 52787, 52794, 50791, 60140, 78342, 54186, 52462, 50428, 58189, 52462, 50432, 59776, 53024, 50843, 58806, 57481, 66296, 55002, 50791, 60238, 53114, 50843, 55335, 51129, 51955, 51187, 54719, 55252, 50974, 66759, 53010, 50798, 53816, 50982, 79333, 51481, 50702, 50285, 51445, 59776, 57232, 50744, 50300, 63309, 61571, 55275, 75231, 63309, 60531, 55275, 56089, 60140, 54605, 52787, 51128, 55231, 58043, 58362, 55090, 53970, 56128, 54953, 52787, 50912, 55231, 54447, 60140, 53962, 54083, 51297, 52787, 62759, 58806, 55379, 54083, 51252, 52787, 52179, 50791, 60238, 52875, 52588, 51126, 54083, 66203, 55335, 55038, 52588, 51524, 54083, 50365, 51610, 51187, 54719, 55090, 51006, 60609, 52167, 50798, 53816, 59506, 75314, 52167, 52308, 50275, 50873, 50702, 50287, 51592, 57391, 55490, 50744, 50302, 63309, 70126, 55275, 60507, 55275, 56089, 60140, 57311, 52631, 51128, 53368, 64698, 58362, 55252, 53630, 56128, 57395, 52631, 50907, 53368, 54447, 60140, 53670, 52631, 60349, 58806, 54203, 53350, 51123, 52631, 59029, 60238, 54905, 52060, 54485, 53350, 60983, 55335, 63640, 52060, 54044, 53812, 51550, 53350, 50365, 51610, 51187, 50366, 52388, 53556, 55252, 50925, 54619, 54438, 63202, 55630, 50982, 60139, 50972, 56648, 52727, 54511, 52727, 55575, 54373, 53370, 54373, 54619, 54035, 51464, 60140, 54183, 54942, 57821, 58362, 52587, 50874, 53664, 51797, 50798, 56128, 51306, 51544, 60140, 54075, 53200, 53588, 50843, 58806, 50908, 51570, 60238, 52875, 50843, 55335, 51129, 51955, 51187, 54719, 53149, 59810, 53816, 50982, 60139, 51328, 54884, 52727, 56089, 60140, 51004, 52399, 58362, 52587, 53630, 56128, 51129, 51544, 60140, 53962, 53664, 64698, 58806, 57481, 54324, 62806, 60238, 53114, 50843, 55335, 63640, 52756, 51775, 51955, 51187, 54719, 55252, 50937, 52817, 77493, 53816, 50982, 79333, 51101, 65574, 55490, 54884, 52727, 55575, 52727, 53370, 52727, 52756, 51775, 56089, 60140, 50982, 52399, 58362, 55090, 50886, 53664, 77477, 56128, 51129, 51544, 60140, 53962, 53664, 52212, 50843, 58806, 51129, 51570, 60238, 52875, 50843, 55335, 51129, 51955, 51187, 54719, 55090, 51058, 53200, 74812, 53816, 50982, 52308, 50275, 50873, 56648, 55490, 54511, 52727, 53733, 52727, 54324, 51109, 56089, 60140, 51129, 52399, 58362, 55252, 50855, 53200, 51254, 50798, 56128, 51258, 51544, 60140, 53670, 53200, 51314, 50843, 58806, 51004, 51570, 60238, 53114, 50843, 55335, 51129, 51955, 51187, 54719, 53149, 51058, 54619, 56935, 53816, 50982, 60139, 51212, 56648, 54373, 54511, 52727, 55575, 54373, 53370, 54373, 54619, 50987, 56089, 60140, 54183, 54942, 51524, 50843, 58362, 52587, 50864, 53664, 52378, 50798, 56128, 51306, 51544, 60140, 54075, 53200, 52528, 50843, 58806, 50908, 51570, 60238, 52875, 50843, 55335, 51129, 51955, 51187, 54719, 53149, 73783, 53816, 50982, 60139, 51242, 54884, 52727, 56089, 60140, 51004, 52399, 58362, 52587, 55234, 56128, 51129, 51544, 60140, 53962, 53664, 58557, 58806, 57481, 54324, 60596, 60238, 53114, 50843, 55335, 63640, 52756, 51480, 51955, 51187, 54719, 55252, 50974, 52817, 72494, 53816, 50982, 79333, 51481, 65574, 52727, 54884, 52727, 52756, 50932, 56089, 60140, 50982, 52399, 58362, 55090, 53970, 56128, 54953, 53664, 55181, 60140, 53962, 53664, 51448, 50843, 58806, 51129, 51570, 60238, 52875, 50843, 55335, 51129, 51955, 51187, 54719, 55090, 51006, 53200, 57685, 53816, 50982, 52308, 50275, 50873, 56648, 55490, 54511, 55490, 53733, 55490, 54324, 51233, 56089, 60140, 51129, 52399, 58362, 55252, 50862, 53200, 54035, 56128, 51258, 51544, 60140, 53670, 53200, 69163, 58806, 54203, 53200, 51679, 50791, 60238, 54905, 52060, 50928, 54032, 55335, 63640, 52060, 51004, 51955, 51187, 50366, 52388, 53556, 55252, 50925, 52817, 50866, 52679, 50839, 52623, 51008, 51555, 62285, 63202, 55630, 50982, 52308, 50276, 50873, 54884, 54532, 55575, 57598, 55321, 53849, 54467, 50925, 52679, 50838, 52623, 51242, 51986, 51277, 56089, 60140, 54183, 54467, 55716, 58362, 54679, 50810, 54467, 51576, 52679, 51058, 52623, 51058, 51986, 60386, 56128, 51306, 51544, 60140, 54075, 53918, 51878, 52623, 51448, 51986, 51283, 51567, 51448, 50843, 58806, 52958, 53511, 51449, 50791, 60238, 52875, 50843, 55335, 51129, 51382, 51464, 54719, 55252, 51006, 53918, 50974, 52623, 50866, 51986, 50959, 51567, 62977, 53816, 50982, 52308, 50276, 51121, 57797, 51100, 51986, 51363, 51567, 51423, 52184, 50905, 56089, 60140, 51004, 52399, 58362, 54679, 50855, 54263, 51008, 51783, 51645, 51722, 51534, 51612, 65542, 56128, 51129, 51544, 60140, 53962, 53918, 51008, 52623, 50873, 69218, 51567, 57729, 58806, 57481, 57797, 50849, 51986, 51255, 51567, 50822, 52184, 51277, 50791, 60238, 53114, 50843, 55335, 63640, 54263, 51174, 51783, 51058, 51722, 51534, 51612, 51006, 51382, 51464, 54719, 53149, 51058, 53918, 51797, 52623, 50974, 51986, 51079, 51567, 53656, 53816, 50982, 60139, 51100, 55575, 58962, 53370, 56235, 53511, 58643, 54263, 51097, 51783, 51101, 51555, 51191, 51612, 51400, 56089, 60140, 50982, 52399, 58362, 52587, 52784, 56128 ]
[ 0, 250, 765, 5175, 2214, 19, 25771, 4785, 6, 4246, 10, 13305, 6, 228, 438, 4781, 2088, 6757, 6, 36075, 8669, 6, 21072, 6, 8, 31391, 1672, 9590, 6, 2351, 10, 19448, 8, 15352, 30054, 5466, 19, 10, 11602, 9, 980, 219, 6, 3366, 219, 6, 8, 5679, 26709, 23338, 293, 6, 278, 11, 10, 1769, 20889, 9, 17072, 163, 5683, 8, 204, 73, 306, 86, 6543, 11, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 16739, 9, 272, 6, 3676, 406, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 51774, 53601, 51515, 53601, 51434, 53073, 51607, 53002, 69531, 50887, 58154, 51469, 50700, 50273, 51469, 58128, 51582, 53597, 50586, 51036, 50920, 50957, 50612, 55138, 69531, 50836, 55199, 52938, 54964, 55873, 51373, 79574, 52079, 54104, 69531, 50836, 55199, 50862, 52352, 51369, 54818, 69531, 50887, 53807, 50897, 64968, 56338, 56549, 50887, 55199, 51589, 78310, 54334, 55873, 51373, 54419, 57039, 69531, 50800, 55199, 50844, 51287, 51369, 59266, 58128, 51049, 55718, 56358, 55199, 59661, 71633, 54815, 55873, 50822, 74326, 55686, 55199, 50854, 52029, 50792, 50608, 52800, 53807, 50897, 51718, 51035, 50381, 53047, 58215, 55199, 53330, 53176, 55873, 50844, 51927, 51035, 61736, 55199, 53199, 50827, 50799, 50658, 50275, 50809, 54311, 52017, 50700, 50275, 52017, 58128, 50942, 51718, 51035, 50381, 52752, 60851, 50658, 50275, 50840, 55199, 51559, 54964, 55873, 51373, 79574, 53836, 53991, 50658, 50275, 50867, 55199, 51559, 79574, 52329, 50658, 50275, 50887, 53807, 50925, 64968, 56865, 60565, 50840, 55199, 50844, 52352, 51826, 54334, 55873, 50844, 51895, 51035, 59716, 50658, 50275, 50890, 55199, 50813, 51287, 51369, 56341, 58128, 50833, 64968, 62079, 55199, 50854, 51248, 71633, 53885, 55873, 50844, 74326, 51000, 52869, 74955, 54271, 57904, 55199, 50833, 52029, 50792, 50608, 60168, 55388, 53140, 53807, 50897, 51718, 51035, 52476, 50606, 50930, 65887, 51518, 50453, 55199, 53065, 53176, 55873, 50844, 51927, 51035, 58182, 55199, 53199, 50827, 50799, 50658, 50277, 50887, 51844, 51469, 50700, 50277, 51469, 58128, 50910, 51718, 51035, 52476, 50612, 58160, 50658, 50277, 50840, 55199, 53330, 54964, 55873, 51373, 79574, 54857, 56295, 50658, 50277, 50890, 55199, 50854, 52352, 51369, 53939, 50658, 50277, 50867, 53807, 50897, 64968, 53847, 56024, 50890, 55199, 51373, 78310, 54053, 55873, 51373, 54419, 58662, 63648, 54378, 50658, 50277, 50890, 55199, 50810, 51287, 51369, 50962, 50436, 61201, 52729, 58128, 50830, 64968, 63038, 54271, 51127, 50441, 55199, 50833, 51248, 71633, 54989, 55873, 50854, 74326, 57291, 55199, 51373, 55095, 50608, 52800, 53807, 50942, 51718, 51035, 78830, 58215, 51669, 50844, 53136, 53199, 53176, 52257, 50844, 53807, 55475, 57831, 59934, 52807, 50833, 54030, 53632, 60634, 50798, 50887, 51057, 50656, 50279, 50930, 58748, 50880, 51669, 50961, 52257, 50884, 54797, 50883, 51857, 50930, 58128, 50800, 56660, 55531, 74438, 55261, 57780, 50656, 50279, 50887, 58748, 50809, 51669, 50809, 52257, 50818, 54797, 50890, 51857, 50887, 56660, 55960, 61134, 55261, 56037, 72840, 50961, 55677, 50962, 51607, 50883, 52327, 50884, 52807, 50884, 53876, 50890, 51533, 50961, 55199, 54451, 50387, 53823, 50962, 54271, 58594, 55261, 61218, 58933, 50883, 53369, 50930, 51669, 50961, 52257, 50884, 54797, 50890, 51132, 50883, 56660, 50386, 53823, 51010, 50436, 57848, 52379, 52769, 52379, 51607, 52017, 52327, 52017, 52807, 52208, 51137, 52379, 50816, 50962, 53428, 51945, 50437, 51335, 52379, 50798, 50962, 50799, 52566, 50857, 55199, 75245, 52650, 50857, 53807, 68349, 53118, 50886, 53775, 55650, 53715, 50857, 53091, 62488, 53118, 50867, 53775, 63366, 52650, 50813, 53807, 53272, 52566, 50862, 55199, 63444, 52650, 50813, 53807, 60394, 53118, 50855, 53775, 53860, 53715, 50813, 53091, 59816, 53118, 50809, 53775, 58853, 52650, 50809, 53807, 52781, 52566, 50890, 55199, 70686, 53000, 50809, 57655, 60672, 53039, 50890, 58128, 54840, 53647, 50880, 63132, 62813, 55372, 50890, 50739, 50345, 64457, 57545, 50930, 50739, 50347, 53886, 59886, 51054, 50739, 50352, 50889, 50454, 61978, 50857, 61166, 50827, 58447, 58325, 58634, 62091, 59796, 50809, 58826, 56637, 60151, 50890, 58425, 53902, 56434, 50884, 56110, 57319, 55907, 50828, 54652, 50818, 53822, 57962, 55348, 50828, 53165, 50834, 52901, 50800, 52364, 50825, 50799, 50656, 50280, 52500, 54437, 53435, 51607, 50821, 52257, 52282, 51338, 51030, 60828, 51941, 50801, 51575, 74410, 52079, 54745, 51669, 53417, 50907, 51039, 58923, 54104, 51607, 50806, 51338, 57888, 53340, 50984, 51694, 50911, 64968, 56338, 51434, 51582, 55238, 51607, 50893, 51338, 50930, 51895, 51035, 58011, 51427, 51556, 52788, 51434, 51192, 64968, 50812, 51572, 54478, 51607, 50897, 54311, 52218, 51100, 74326, 55686, 51669, 50840, 51844, 52304, 65673, 63688, 52610, 51607, 50924, 52257, 51167, 51338, 65678, 50923, 51718, 51035, 50840, 51647, 68926, 60828, 51923, 51669, 50942, 54311, 58630, 50840, 51927, 51035, 61736, 51607, 52217, 61243, 67658, 50855, 50799, 56090, 51696, 51607, 50858, 52257, 51685, 50656, 50277, 53241, 51844, 50923, 71080, 68138, 51575, 56169, 54745, 51669, 50865, 53673, 51039, 58923, 56856, 67658, 51235, 50423, 51607, 50795, 51844, 55461, 53340, 50984, 51694, 50911, 64968, 56338, 51434, 52217, 50984, 50431, 60828, 51196, 50432, 51607, 50865, 51844, 50962, 51895, 51035, 58011, 51427, 51556, 52788, 51434, 51060, 64968, 50812, 51572, 54478, 51607, 56525, 51100, 50852, 54714, 55686, 51669, 52873, 54385, 51607, 50948, 52257, 51175, 50816, 50923, 51718, 51035, 50840, 51647, 68926, 58401, 52931, 51669, 50897, 51844, 51021, 52006, 51225, 57831, 61736, 51607, 52217, 50827, 50799, 50656, 50278, 52536, 57117, 52500, 51607, 50940, 52327, 51141, 51727, 51388, 60768, 68138, 51575, 56169, 54745, 51669, 50952, 53673, 51039, 58923, 56856, 58401, 51235, 50423, 51773, 50977, 51607, 50839, 51727, 54452, 53340, 50984, 51694, 50911, 64968, 56338, 51515, 53330, 50984, 50431, 57587, 57345, 51773, 50911, 51727, 50962, 51895, 51035, 58011, 51427, 51556, 52788, 51515, 51173, 64968, 50812, 51572, 54478, 51773, 50910, 58154, 52423, 51100, 74326, 55686, 51607, 50809, 54311, 52675, 65673, 57120, 58647, 52327, 51175, 51773, 50952, 51727, 62851, 50923, 51718, 51035, 50840, 51647, 53176, 51607, 50942, 58154, 50887, 63019, 53933, 50840, 51927, 51035, 51000, 50457, 58085, 51036, 50459, 51773, 51187, 50827, 50799, 50656, 50275, 53241, 57848, 52500, 51773, 50882, 52327, 51541, 54311, 56795, 51575, 56169, 54745, 51607, 50865, 53673, 51039, 58923, 54104, 51434, 50921, 54311, 54441, 53340, 50984, 51694, 50911, 64968, 56338, 51607, 51420, 55238, 51434, 50858, 54311, 51864, 54419, 58011, 51427, 51556, 52788, 51434, 50938, 64968, 56358, 51248, 50792, 50602, 52210, 51607, 50910, 54311, 54273, 51100, 50852, 54714, 55686, 51669, 51421, 55095, 50602, 57868, 51634, 58175, 52257, 51021, 51137, 53757, 50923, 51718, 51035, 50381, 50793, 50603, 50991, 50452, 52341, 58305, 51669, 55690, 65415, 52375, 54583, 51607, 50897, 54311, 50921, 52006, 51225, 57831, 51000, 50457, 53687, 56569, 51434, 50809, 53549, 51582, 61243, 57628, 51605, 50799, 50656, 50280, 52536, 54437, 53435, 51607, 51033, 52257, 51541, 51338, 62535, 51575, 56169, 54745, 51669, 50948, 53673, 51039, 58923, 54104, 51607, 50809, 51434, 50809, 51338, 54441, 53340, 50984, 51694, 50911, 64968, 56338, 51607, 51049, 55238, 51434, 50821, 51338, 51864, 54419, 58011, 51427, 51556, 52788, 51434, 50952, 64968, 50812, 51572, 54478, 51607, 50830, 54311, 52218, 51100, 74326, 55686, 51669, 50809, 51844, 51421, 54385, 51607, 50830, 52257, 51379, 51338, 57725, 50923, 51718, 51035, 50840, 51647, 53176, 51669, 50844, 57714, 50921, 54311, 53841, 50840, 51927, 51035, 61736, 51607, 50855, 55652, 55110, 50827, 50799, 50656, 50277, 52500, 56090, 51469, 51607, 50940 ]
[ 0, 250, 33558, 5175, 8, 3495, 1619, 2214, 19, 10, 7212, 20889, 6, 4246, 21072, 6, 2342, 4467, 6, 6755, 12547, 6, 8, 18558, 4, 20, 33301, 16, 1490, 198, 5, 40286, 83, 6, 163, 6, 8, 381, 6, 2351, 10, 1372, 8, 2365, 5466, 4, 23973, 11, 5, 762, 9, 381, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2214, 16, 686, 7, 836, 12298, 9450, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50456, 56514, 54814, 56514, 50820, 56682, 50948, 52684, 53380, 55080, 51353, 51943, 51477, 62612, 51362, 52453, 65617, 58016, 50374, 54176, 50883, 51017, 51419, 50868, 51391, 78949, 50420, 51844, 51290, 52166, 50870, 65719, 52767, 51844, 51290, 51943, 52015, 62612, 51939, 50733, 50337, 51977, 52453, 58016, 63607, 51391, 51017, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 51844, 50940, 53026, 58533, 52772, 51844, 50948, 62043, 51130, 71353, 51481, 50868, 51328, 73944, 50456, 51957, 50948, 68552, 58533, 59044, 50733, 50336, 52567, 51383, 61824, 50733, 50337, 57498, 50733, 50336, 51238, 53447, 50948, 52583, 51189, 51188, 51283, 52453, 60432, 66327, 51419, 50868, 51391, 78949, 50420, 51181, 51016, 52166, 58409, 50733, 50336, 51238, 65719, 52767, 51374, 51290, 53278, 51675, 54165, 51790, 51499, 52015, 71345, 51238, 52453, 58016, 79603, 51391, 51042, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 71345, 51363, 51270, 52875, 73654, 61201, 51111, 53026, 58533, 52772, 51374, 50948, 55261, 50983, 62043, 51130, 50837, 51042, 51481, 50868, 51328, 50992, 51328, 50453, 61201, 51480, 50456, 51374, 50948, 68552, 58533, 50372, 54176, 54814, 51383, 50370, 54176, 50820, 56682, 50948, 55080, 51353, 52684, 53454, 51943, 51283, 62612, 51073, 52453, 60432, 50374, 54176, 50883, 51017, 51419, 50868, 51391, 78949, 50420, 51844, 51290, 52166, 54604, 55261, 51542, 50426, 62612, 51452, 55605, 52767, 51844, 51290, 51943, 51680, 52453, 58016, 63607, 51391, 51017, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 51844, 50940, 53026, 58533, 52772, 51844, 50948, 62043, 51130, 71353, 51481, 50868, 51328, 73944, 50456, 51957, 50948, 53026, 58533, 54600, 51383, 50870, 53447, 50948, 52583, 51218, 51188, 51283, 52453, 60432, 66327, 51419, 50868, 51391, 78949, 50420, 51181, 51016, 52166, 50870, 65719, 52767, 51374, 51290, 53278, 51591, 54165, 51675, 51499, 52015, 52453, 58016, 79603, 51391, 51042, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 73654, 53026, 58533, 52772, 51910, 50940, 62043, 51130, 50837, 51042, 51481, 50868, 51328, 50992, 77228, 51374, 50948, 53026, 58533, 50372, 54176, 54814, 51383, 50370, 54176, 50820, 56682, 50948, 55080, 51353, 52684, 53380, 51943, 51477, 62612, 51362, 52453, 65617, 58016, 50374, 54176, 50883, 51017, 51419, 50868, 51391, 78949, 50420, 51844, 51290, 52166, 50870, 65719, 52767, 51844, 51290, 51943, 52015, 62612, 51939, 50733, 50337, 51977, 52453, 58016, 63607, 51391, 51017, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 51844, 50940, 53026, 58533, 52772, 51844, 50948, 62043, 51130, 71353, 51481, 50868, 51328, 73944, 50456, 51957, 50948, 68552, 58533, 59044, 50733, 50336, 52567, 51383, 61824, 50733, 50337, 57498, 50733, 50336, 51238, 53447, 50948, 52583, 51189, 51188, 51283, 52453, 60432, 66327, 51419, 50868, 51391, 78949, 50420, 51181, 51016, 52166, 58409, 50733, 50336, 51238, 65719, 52767, 51374, 51290, 53278, 51675, 54165, 51790, 51499, 52015, 71345, 51238, 52453, 58016, 79603, 51391, 51042, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 71345, 51363, 51270, 52875, 73654, 61201, 51111, 53026, 58533, 52772, 51374, 50948, 55261, 50983, 62043, 51130, 50837, 51042, 51481, 50868, 51328, 50992, 51328, 50453, 61201, 51480, 50456, 51374, 50948, 68552, 58533, 50372, 54176, 54814, 51383, 50370, 54176, 50820, 56682, 50948, 55080, 51353, 52684, 53454, 51943, 51283, 62612, 51073, 52453, 60432, 50374, 54176, 50883, 51017, 51419, 50868, 51391, 78949, 50420, 51844, 51290, 52166, 54604, 55261, 51542, 50426, 62612, 51452, 55605, 52767, 51844, 51290, 51943, 51680, 52453, 58016, 63607, 51391, 51017, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 51844, 50940, 53026, 58533, 52772, 51844, 50948, 62043, 51130, 71353, 51481, 50868, 51328, 73944, 50456, 51957, 50948, 53428, 50845, 53026, 58533, 54600, 51383, 50870, 53447, 50948, 52583, 51218, 51188, 51283, 53048, 50915, 52453, 60432, 66327, 51419, 50868, 51391, 78949, 50420, 51181, 50948, 53428, 50972, 52166, 52872, 51640, 50948, 53048, 51108, 55605, 52767, 51374, 51290, 53278, 51591, 54165, 51675, 51499, 52015, 53428, 51166, 52453, 58016, 79603, 51391, 51042, 51318, 50868, 51310, 50435, 51270, 52621, 53048, 52407, 69563, 55788, 51270, 52875, 73654, 53026, 58533, 52772, 51910, 50940, 62043, 51130, 50837, 51042, 51481, 50868, 51328, 50992, 77228, 51374, 50948, 52671, 50893, 53026, 58533, 50372, 54176, 54814, 51383, 50370, 54176, 50820, 56682, 50948, 52671, 50821, 53278, 51307, 52453, 65617, 58016, 50835, 52331, 50977, 51017, 51419, 50868, 51391, 78949, 50420, 51844, 51175, 52671, 50940, 52166, 50870, 52331, 71266, 52671, 50952, 55605, 52767, 51844, 51290, 52671, 51227, 52453, 58016, 50837, 52331, 51267, 78949, 51017, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 51844, 50858, 51596, 50940, 53026, 58533, 50835, 52331, 52843, 51844, 50948, 51789, 50952, 62043, 51130, 50837, 52331, 50866, 51017, 51481, 50868, 51328, 73944, 50456, 51957, 50948, 51789, 51290, 68552, 58533, 50837, 52899, 61219, 52583, 51047, 51383, 50870, 53447, 50948, 52453, 60432, 50835, 51482, 50866, 50848, 51419, 50868, 51391, 78949, 50420, 51181, 51235, 51596, 51175, 52166, 50870, 51482, 51203, 65719, 52767, 51374, 51290, 52453, 58016, 50837, 51726, 51267, 50992, 51391, 51042, 51318, 50868, 51310, 50433, 52202, 51290, 50435, 56470, 51183, 51270, 52621, 69563, 55788, 51270, 52875, 73654, 52155, 50924, 53026, 58533, 50835, 51726, 56060, 51374, 50948, 52202, 50940, 62043, 51130, 50837, 51726, 50866, 51042, 51481, 50868, 51328, 50992, 77228, 51857, 50948, 68552, 58533, 50837, 53180, 50977, 50457, 52202, 51055, 50459, 53278, 51353, 51383, 50870, 56682, 50948, 52453, 60432, 50835, 52331, 50977, 51688, 50917, 51017, 51419, 50868, 51391, 78949, 50420, 51844, 51175, 52166, 50870, 52331, 51043, 51688, 51110, 50421, 52671, 51226, 65719, 52767, 51844, 51290, 52453, 58016, 50837, 52331, 51267, 51688, 67771, 51391, 51017, 51318, 50868, 51310, 50433, 52202, 51253, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 51844, 53287, 51187, 58533, 50835, 52331, 50810, 51688, 63178, 52671, 57991, 51844, 50948, 62043, 51130, 50837, 52331, 50866, 51688, 50917, 51017, 51481, 50868, 51328, 73944, 50456, 51957, 50948, 53026, 58533, 50837, 52899, 50866, 52540, 50917, 50457, 52202, 52056, 50459, 52583, 51562, 51383, 50870, 53447, 50948, 52453, 60432, 50835, 51482, 50866, 51171, 72024, 51419, 50868, 51391, 78949, 50420, 51181, 51235, 52166, 50870, 51482, 51203, 51171, 51124, 50421, 52671, 52056, 65719, 52767, 51374, 51290, 56470, 51790, 52453, 58016, 50837, 51726, 51267, 51217, 51159, 50992, 51391, 51042, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 73654, 53026, 58533, 50835, 51726, 50878, 51217, 55620, 51374, 50948, 62043, 51130, 50837, 51726, 50866, 51217, 50917, 51042, 51481, 50868, 51328, 50992, 77228, 51857, 50948, 54120, 50879, 53026, 58533, 50837, 53180, 50977, 51791, 67238, 53278, 51307, 51383, 50870, 56682, 50948, 52671, 53558, 51130, 60432, 50835, 52331, 50977, 51017, 51419, 50868, 51391, 78949, 51688, 70506, 51844, 51175, 52671, 50940, 52166, 50870, 52331, 71266, 52671 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 3152, 1619, 2214, 4246, 10, 13305, 6, 2342, 4467, 6, 31391, 1672, 9590, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 13950, 13410, 228, 2289, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 274, 10431, 119, 401, 6, 163, 119, 6, 8, 230, 10431, 406, 14, 31473, 1495, 157, 7, 3618, 8, 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, 0, 0 ]	[ 56236, 51181, 51204, 52604, 51354, 60211, 52054, 52871, 50989, 66388, 52434, 50317, 52434, 50320, 50977, 51892, 50421, 52156, 61083, 52251, 78211, 60824, 50427, 52083, 60838, 51181, 50833, 51120, 51328, 52083, 51661, 66921, 51181, 51191, 74727, 71869, 51028, 51101, 50968, 51101, 55159, 51180, 53140, 69874, 64940, 80152, 50968, 50942, 63904, 51181, 50925, 51892, 63065, 51204, 62676, 50965, 50925, 79948, 51028, 50925, 52156, 54452, 56536, 50419, 52156, 51030, 55961, 66878, 50854, 67563, 74730, 56889, 51686, 50865, 74627, 52458, 60263, 51295, 50965, 51295, 50973, 51295, 51028, 51295, 52156, 51500, 59199, 62083, 51191, 59159, 51686, 51013, 51892, 51382, 60710, 54403, 52458, 50925, 57452, 53447, 51204, 78887, 62927, 51028, 50925, 50968, 50925, 52604, 51500, 55032, 78594, 50989, 50854, 61233, 74730, 76171, 78169, 52156, 62239, 52251, 50887, 51302, 60824, 50427, 52083, 53911, 51181, 50833, 50989, 51295, 50877, 51295, 51028, 51295, 50968, 51295, 52083, 51661, 66921, 51181, 51191, 55159, 63047, 67369, 51754, 51181, 50925, 51892, 63065, 51091, 80200, 52156, 50930, 55961, 52434, 50312, 52434, 50315, 52434, 50317, 50977, 52156, 51030, 56889, 51686, 52918, 51049, 53917, 52458, 50854, 51360, 51328, 52636, 64662, 52156, 51566, 62083, 61858, 51101, 50965, 51101, 50973, 51101, 51028, 51101, 59159, 52458, 51116, 51686, 51013, 51892, 56415, 50942, 76600, 75651, 80152, 71682, 54403, 52458, 50925, 66871, 50810, 53447, 51204, 78887, 62927, 51028, 50925, 50968, 50925, 80200, 52604, 59217, 50989, 50854, 61233, 74730, 76171, 51892, 50424, 52156, 52437, 52251, 52572, 60824, 50427, 52083, 53974, 51181, 50833, 50989, 51295, 50877, 51295, 51028, 51295, 50968, 51295, 57870, 50433, 52083, 51364, 59501, 51191, 55159, 63047, 67369, 51754, 51181, 50925, 51892, 63065, 51294, 52156, 54441, 51049, 52871, 50871, 52434, 50312, 52434, 50315, 52434, 50317, 50977, 52156, 50948, 51892, 50425, 51686, 50917, 51302, 78503, 52458, 50833, 51360, 51328, 50801, 57659, 52156, 51566, 62083, 51141, 76329, 50965, 51101, 50973, 51101, 51028, 51101, 51553, 50882, 50445, 51686, 51112, 50447, 51224, 52848, 68452, 76600, 75651, 80152, 51224, 59574, 51289, 51754, 52458, 50910, 52251, 51073, 51289, 50882, 55934, 51204, 68899, 78887, 62927, 51028, 50925, 60211, 52054, 52871, 50916, 69303, 50854, 61233, 74730, 52083, 52382, 51892, 65250, 53917, 51640, 50833, 50916, 51295, 50989, 51295, 50877, 51295, 51028, 51295, 57870, 55827, 51191, 55159, 63047, 67369, 51754, 51640, 50925, 51892, 59373, 50983, 50989, 51307, 50877, 51307, 50973, 51307, 50902, 51307, 55032, 56911, 65250, 53917, 51910, 53097, 62445, 58711, 50983, 55159, 63047, 51382, 60710, 54403, 51910, 50952, 57452, 55934, 51294, 68899, 78887, 62927, 51028, 50925, 55032, 78594, 50916, 69303, 50854, 61233, 74730, 51892, 65250, 53917, 51640, 50833, 50916, 51295, 50989, 51295, 50877, 51295, 51028, 51295, 57870, 55827, 51141, 55159, 63047, 67369, 51754, 51640, 50910, 51892, 59373, 51091, 78887, 62927, 79948, 71702, 64112, 50989, 50854, 61233, 67563, 67666, 51892, 51510, 50810, 51302, 52227, 53917, 51910, 69303, 51295, 50877, 51295, 50973, 51295, 50902, 51295, 52234, 55801, 50800, 58711, 54436, 62691, 51820, 51910, 51116, 51224, 73449, 56234, 51754, 51910, 50925, 51289, 51049, 50822, 55934, 51091, 51040, 51307, 50989, 51307, 50877, 51307, 52251, 52536, 60211, 52054, 50812, 56911, 65250, 53917, 51640, 54312, 56619, 55827, 54436, 51049, 52597, 51640, 51116, 51892, 67369, 51754, 51640, 50925, 52083, 50952, 51892, 59373, 50983, 78887, 62927, 79948, 71702, 80200, 52083, 50841, 52251, 51175, 69724, 50854, 61233, 67563, 67666, 56889, 52083, 50952, 74627, 51910, 75965, 51295, 50877, 51295, 50973, 51295, 50902, 51295, 52251, 51238, 52636, 50844, 58711, 50983, 59159, 51686, 50991, 51892, 51382, 60710, 54403, 51910, 50952, 51789, 51605, 66871, 50810, 54281, 51204, 50899, 51307, 50916, 51307, 50861, 51307, 50973, 51307, 52506, 50800, 56911, 65250, 53917, 51374, 53530, 56619, 54360, 51191, 55159, 63047, 67369, 51754, 51374, 50925, 51596, 51049, 50822, 55934, 50983, 50989, 51127, 50906, 51675, 51040, 51675, 51789, 51345, 55032, 56911, 51302, 60824, 50427, 51596, 52559, 51640, 53097, 51373, 64662, 52083, 51235, 55827, 50983, 50989, 51212, 59159, 50906, 50905, 51892, 50445, 51789, 63112, 51028, 50845, 71682, 54403, 51640, 50952, 51114, 52773, 56558, 59697, 52671, 51264, 59373, 51400, 50916, 51562, 50989, 51562, 50877, 51562, 51028, 51562, 55032, 68072, 51910, 51178, 74627, 57870, 58711, 51400, 50956, 51562, 50989, 51562, 50877, 51562, 50973, 51562, 55159, 51180, 53140, 51910, 51178, 68728, 51453, 50822, 54281, 51204, 52671, 51227, 64112, 50899, 52434, 50308, 52434, 50312, 52434, 50315, 50977, 56889, 52202, 50952, 74627, 51374, 50833, 51315, 51328, 52315, 51377, 59199, 54360, 51191, 50899, 51101, 67032, 50965, 51101, 50973, 51101, 59159, 52202, 50991, 51892, 56279, 50942, 74656, 76600, 75651, 71682, 54403, 51374, 50925, 51596, 51048, 57452, 55934, 51400, 52506, 51835, 50899, 68036, 59460, 50889, 52671, 51472, 56889, 51640, 51178, 74627, 57870, 62083, 51391, 50871, 51562, 50965, 51562, 50973, 51562, 51028, 51562, 55159, 50443, 51752, 51111, 51180, 53140, 52671, 51215, 63904, 52458, 50830, 51892, 55934, 51091, 68899, 78887, 62927, 51028, 50925, 52251, 52392, 64112, 50916, 69303, 50854, 61233, 74730, 51892, 51302, 67786, 53917, 51640, 72075, 51295, 50989, 51295, 50877, 51295, 51028, 51295, 52234, 51597, 51022, 51892, 55827, 54436, 51049, 52597, 51640, 51116, 75777, 52283, 52101, 51382, 56055, 60710, 50882, 50455, 52083, 59349, 51640, 50925, 52636, 54846, 50852, 50851, 59373, 50983, 50989, 51218, 50877, 51218, 50973, 51218, 50902, 51218, 52251, 51073, 52506, 59078, 52921, 52083, 50937, 74627, 51910, 50812, 51324, 51101, 52251, 51238, 57870, 58711, 50983, 50989, 51178, 65645, 50973, 51178, 73054, 59159, 51686, 51238, 57491, 77206, 59836, 69315, 60537, 63904, 51910, 50952, 51789, 51655, 51892, 54281, 76602, 51218, 50916, 78043, 51218, 50973, 51218, 55032, 56911, 65250, 53917, 51374, 50812, 51315, 51101, 52636, 50844, 54360, 76602, 51178, 50916, 51178, 68062, 50973, 51178, 55159, 51180, 53140, 66432, 65927, 58537, 69315, 71682, 54403, 51132, 50952, 51596, 53841, 56558, 50810, 55934, 51294, 51040, 50925, 78887, 67639, 51789, 51227, 52506, 51835, 51040, 69303, 50854, 62419, 56889, 51596, 51907, 60824, 51532, 54150, 51640, 50833, 51040, 51295, 50989, 51295, 50906, 51295, 57870, 50433, 52083, 51345, 55827, 51141, 55159, 63047, 50445, 51789, 51048, 67369, 51754, 51640, 50910, 51892, 50459, 52671, 51359, 59373, 51400, 64112, 50916, 68036, 59460, 71734, 50889, 56889, 51910, 51178, 74627, 59199, 58711, 51391, 50877, 51562, 50973, 51562, 51001, 51562, 51114, 51562, 55159, 63047, 51382, 60710, 54403, 51910, 50830, 57452, 54281, 51391, 80200, 52671, 51290, 54569, 68036, 59460, 66154, 50889, 56889, 52202, 50865, 74627, 77687, 52315, 51048, 57870, 54360, 51391, 50899, 51562, 50916, 51562, 50965, 51562, 50973, 51562, 59159, 52202, 51112, 51892, 67369, 51754, 77687, 51892, 50457, 51596, 51013, 55934, 51400, 50899, 51562, 50989, 51562, 50877, 51562, 55032, 56911, 50421, 52671, 51291, 50426, 51640, 51178, 74627, 59199, 62083, 51400, 59159, 50871, 62202, 66154, 71734, 50889, 51892, 50445 ]
[ 0, 1121, 42, 15352, 30054, 5175, 2214, 6, 38668, 22052, 8, 10, 2342, 4467, 185, 5, 483, 6, 7513, 30, 41, 21979, 8669, 6, 26432, 636, 3938, 22052, 6, 8, 21072, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 3366, 219, 8, 19448, 5466, 6, 20455, 9, 10, 569, 177, 19834, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 538, 8, 1575, 10, 33215, 16739, 9, 274, 6, 163, 428, 73, 597, 6, 274, 6, 230, 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 ]	[ 56236, 61627, 52072, 52122, 52009, 51183, 51722, 51112, 51612, 51345, 51165, 51109, 51107, 66039, 52547, 51267, 50451, 51612, 51162, 52037, 51400, 51107, 51203, 51201, 51775, 53596, 51732, 53034, 51183, 52471, 51183, 52184, 51204, 52290, 51351, 52876, 50862, 52967, 50862, 53348, 53630, 57838, 65600, 51395, 51391, 51182, 51419, 50418, 53348, 50862, 52876, 50862, 52967, 53340, 68684, 52967, 50862, 52876, 50862, 53348, 53340, 54654, 52967, 50862, 53348, 50862, 52876, 50862, 59799, 72435, 53861, 50432, 52184, 50937, 52290, 50901, 51395, 50892, 51182, 70139, 52978, 50862, 53143, 50862, 52967, 50862, 52029, 51102, 64147, 52009, 51353, 52547, 51353, 51612, 51445, 52037, 51313, 53884, 50439, 51107, 53588, 51201, 53142, 50442, 53861, 50446, 52978, 50862, 53143, 50862, 52967, 53340, 50857, 52320, 68357, 53842, 50458, 52967, 50862, 52978, 50862, 53143, 50862, 52558, 50799, 53143, 50862, 52967, 50862, 52978, 53630, 55115, 65149, 52967, 50862, 52978, 50862, 53143, 53340, 68684, 52967, 50862, 53143, 50862, 52978, 53340, 54317, 52978, 50862, 53143, 50839, 52967, 50862, 64229, 50959, 55994, 62692, 53143, 50862, 52967, 50862, 52803, 50839, 52978, 50862, 66012, 51051, 50437, 51716, 51003, 53034, 56509, 51567, 51116, 52184, 51013, 51093, 51400, 51395, 51013, 52385, 55820, 77388, 52967, 50862, 52978, 50862, 53143, 53340, 50862, 52320, 79626, 52072, 51194, 52009, 51194, 51722, 51110, 51612, 51110, 51165, 51124, 51107, 51255, 56403, 61688, 52967, 50862, 53143, 50862, 52978, 50862, 52385, 52354, 51795, 51821, 53454, 52072, 51351, 52009, 51295, 51722, 51191, 51612, 50983, 53143, 50862, 52967, 50862, 52978, 53630, 51805, 76415, 51107, 51351, 51165, 51003, 50418, 52978, 50862, 53143, 50862, 52967, 53340, 68684, 52967, 50862, 53143, 50862, 52978, 53340, 54654, 52967, 50862, 53143, 50862, 52978, 50862, 64229, 50867, 55994, 55487, 51584, 51008, 51567, 50844, 51113, 51142, 51093, 51051, 50433, 51701, 51353, 51716, 53651, 50434, 54033, 50862, 53143, 50862, 52803, 50862, 66012, 53980, 51567, 51445, 51584, 51243, 50791, 64643, 51093, 51671, 51113, 51748, 55820, 64529, 52803, 50862, 53143, 50862, 54033, 53340, 50941, 52320, 61192, 53884, 50458, 52803, 50862, 53143, 50839, 54033, 54996, 50867, 52354, 51184, 53143, 50862, 54033, 50862, 52803, 53630, 51331, 71045, 53143, 50862, 54033, 50862, 52803, 53340, 67643, 53143, 50862, 54033, 50862, 52803, 50862, 75445, 53143, 50839, 54033, 50862, 52803, 50862, 66783, 63341, 53861, 50434, 54033, 50862, 53143, 50862, 52803, 50862, 66012, 61360, 52184, 51345, 52290, 61636, 53034, 51400, 52471, 51267, 51395, 51203, 51182, 51203, 52385, 50442, 53842, 50446, 54033, 50862, 53143, 50862, 52803, 53340, 54915, 52547, 51255, 53051, 51400, 52792, 51377, 52037, 51238, 51201, 51194, 51284, 51412, 52385, 50454, 53861, 50458, 54033, 50862, 53143, 50862, 52803, 53340, 63729, 52072, 51353, 53870, 51795, 52471, 51353, 53909, 51353, 52876, 50862, 52967, 50862, 53348, 53630, 51805, 70623, 52290, 51091, 53755, 51241, 51182, 51134, 51394, 51391, 50418, 53348, 50862, 52876, 50862, 52967, 53340, 66806, 52876, 50862, 52967, 50862, 53348, 53340, 53935, 53348, 50862, 52876, 50862, 52967, 50862, 57563, 63432, 53884, 50433, 53755, 51452, 52290, 51452, 51394, 51803, 51182, 51790, 50434, 52876, 50862, 52967, 50862, 53348, 50862, 51895, 51102, 50864, 51570, 63776, 53861, 50446, 53348, 50862, 52876, 50862, 52967, 53340, 50904, 52320, 50813, 56403, 62298, 52876, 50862, 52967, 50862, 53348, 53340, 50971, 52354, 51795, 54033, 50862, 52803, 50862, 52798, 53630, 51805, 61158, 52798, 50862, 54033, 50862, 52803, 53340, 66806, 52803, 50862, 54033, 50862, 52798, 53340, 54654, 52009, 51790, 52547, 51790, 54033, 50862, 52803, 50862, 52798, 50862, 57663, 64644, 51612, 51427, 52037, 50967, 51107, 51178, 51201, 51043, 50430, 53861, 50434, 52798, 50862, 54033, 50862, 52803, 50862, 75056, 50933, 51570, 64643, 51612, 51745, 52037, 51091, 51107, 51191, 51201, 51241, 50442, 53842, 50446, 52803, 50862, 54033, 50862, 52798, 50862, 51248, 54936, 56604, 51190, 53120, 62603, 52029, 53120, 54166, 53034, 50901, 51716, 73363, 51567, 50865, 52184, 50917, 51093, 50878, 51395, 63105, 54033, 50862, 52803, 50862, 52798, 50378, 53221, 54998, 50857, 53596, 50823, 52967, 50862, 52978, 50862, 52798, 53630, 51805, 50371, 52526, 66277, 51821, 55428, 52072, 52069, 52009, 51353, 51722, 51894, 51612, 51991, 51165, 53142, 50416, 51107, 52062, 50418, 52798, 50862, 52967, 50862, 52978, 53340, 67643, 65247, 52967, 50862, 52978, 50839, 52798, 53340, 53383, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 53630, 50823, 59799, 50959, 55994, 62692, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 50862, 66012, 50867, 51450, 51805, 63397, 53884, 50446, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 53340, 54939, 73777, 51156, 50813, 56403, 62298, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 53340, 69309, 51701, 52069, 51716, 52069, 52354, 50803, 51113, 52136, 51093, 51381, 51201, 51381, 54033, 50862, 52803, 50862, 52798, 53618, 51805, 64685, 52803, 50862, 54033, 50862, 52798, 53340, 67643, 71101, 54033, 50862, 52803, 50862, 52798, 54996, 51904, 50579, 55447, 51720, 50803, 54033, 50862, 52803, 50862, 52798, 53630, 51156, 50370, 54936, 53123, 50867, 55994, 61075, 51720, 50803, 54033, 50862, 52803, 50862, 52798, 50862, 66783, 50886, 69832, 63397, 51287, 54936, 69354, 51720, 50823, 54033, 50862, 52803, 50862, 52798, 50862, 51715, 54936, 53688, 58205, 54033, 50862, 52803, 50862, 52798, 53630, 52702, 50374, 54936, 75903, 51720, 50803, 54033, 50862, 52803, 50862, 52798, 50862, 51287, 53120, 62705, 71101, 54033, 50862, 52803, 50862, 52798, 50378, 53221, 54998, 50886, 50799, 54809, 51059, 68427, 54064, 51351, 52016, 51295, 52967, 50862, 52978, 50862, 52798, 53630, 51156, 50372, 52526, 66277, 50939, 51226, 51007, 51274, 50418, 52967, 50862, 52978, 50862, 52798, 53340, 70852, 68362, 52967, 50862, 52978, 50862, 52798, 50862, 67684, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 53630, 52279, 50975, 59799, 50904, 55994, 71588, 55830, 51059, 52233, 51295, 52606, 51351, 50909, 51241, 51298, 51241, 50434, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 50862, 52029, 51102, 50864, 69832, 63397, 53884, 50446, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 53340, 54105, 53124, 50993, 51096, 50975, 52016, 51400, 51821, 51400, 51007, 51162, 51257, 71160, 52279, 51331, 58261, 53861, 50458, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 50862, 52470, 53596, 50823, 51678, 51351, 52967, 50862, 53348, 50862, 52837, 53630, 51156, 70623, 52182, 51059, 54064, 51353, 52606, 51351, 51298, 51204, 51439, 51241, 50418, 53348, 50862, 52967, 50862, 52837, 53340, 68684, 65247, 52967, 50862, 53348, 50862, 52837, 53340, 54654, 51186, 50803, 52967, 50862, 53348, 50862, 52837, 53630, 52865, 51331, 54766, 60155, 53842, 50432, 52016, 51790, 51821, 51295, 50433, 53124, 51029, 51007, 51191, 51257, 51218, 50434, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 50862, 57563, 50864, 51450, 51805, 63397, 53842, 50446, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 53340, 54086, 54809, 50993, 51096, 55877, 66135, 72584, 50939, 50991, 51007, 50991, 56403, 62298, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 50862, 52385, 52354, 50823, 55825 ]
[ 0, 713, 765, 5175, 19834, 2125, 11, 274, 538, 16, 17407, 30, 63, 15352, 30054, 8, 20425, 2574, 6, 19, 223, 34693, 9, 11098, 8, 15073, 4, 20, 20535, 2810, 6, 217, 20125, 2580, 8, 17465, 281, 6, 1239, 5, 483, 6, 7513, 30, 10, 6755, 12547, 4, 590, 10, 1769, 20889, 9, 3982, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 1575, 10, 33215, 16739, 9, 274, 6, 230, 6, 274, 6, 211, 119, 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 ]	[ 59626, 51509, 50824, 57238, 50824, 50709, 50333, 51016, 61437, 50824, 54822, 57173, 51509, 50817, 57238, 50817, 50709, 50333, 50895, 61437, 50817, 54822, 53908, 51509, 50817, 57238, 51031, 50709, 50333, 50884, 61437, 51031, 54822, 53040, 51509, 51059, 57238, 51059, 50709, 50333, 51362, 61437, 51059, 54822, 51134, 50456, 71555, 57238, 50811, 50709, 50333, 50890, 61437, 50811, 54822, 54655, 71555, 57238, 50811, 50709, 50333, 50890, 61437, 50811, 54822, 50813, 64996, 50803, 57238, 50803, 50709, 50333, 50858, 61437, 50803, 54822, 53066, 73383, 53954, 50894, 50709, 50330, 50800, 54970, 50894, 52991, 53450, 51723, 50803, 52336, 50894, 71751, 50800, 53089, 50894, 52366, 53513, 73383, 53954, 50950, 50709, 50330, 50859, 54970, 50950, 52991, 52729, 79430, 57238, 50950, 50709, 50333, 50859, 61437, 50950, 54822, 53103, 73383, 53954, 50950, 50709, 50330, 50859, 54970, 50950, 52991, 52843, 79430, 57238, 50950, 50709, 50333, 50859, 61437, 50950, 54822, 52863, 52336, 50803, 50707, 50338, 50950, 50709, 50338, 50859, 50699, 50350, 50950, 68610, 50810, 64996, 50803, 57238, 50882, 50709, 50333, 50808, 61437, 50882, 54822, 54351, 73383, 53954, 50950, 50709, 50330, 50859, 54970, 50950, 52991, 52654, 51723, 50803, 52336, 50950, 71751, 50859, 53089, 50950, 52366, 52658, 73383, 53954, 50950, 50709, 50330, 50859, 54970, 50950, 52991, 52729, 79430, 57238, 50882, 50709, 50333, 50808, 61437, 50882, 54822, 53783, 73383, 53954, 50950, 50709, 50330, 50859, 54970, 50950, 52991, 52843, 79430, 57238, 50950, 50709, 50333, 50859, 61437, 50950, 54822, 52863, 79121, 50707, 50338, 50811, 50709, 50338, 50890, 50699, 50350, 50811, 68610, 50813, 64996, 51072, 57238, 51072, 50709, 50333, 51290, 61437, 51072, 54822, 69558, 51509, 50817, 57238, 50961, 50709, 50333, 50846, 61437, 50961, 54822, 54606, 51509, 50817, 57238, 51031, 50709, 50333, 50884, 61437, 51031, 54822, 52600, 51509, 51059, 57238, 51059, 50709, 50333, 51362, 61437, 51059, 54822, 51134, 50456, 71555, 57238, 51010, 50709, 50333, 50887, 61437, 51010, 54822, 54655, 71555, 57238, 50811, 50709, 50333, 50890, 61437, 50811, 54822, 50813, 64996, 50950, 57238, 50950, 50709, 50333, 50859, 61437, 50950, 54822, 53066, 51431, 50880, 51509, 50930, 52629, 50880, 57238, 50930, 56846, 50846, 62986, 50835, 74011, 50836, 50709, 50333, 50840, 51690, 51031, 52487, 50818, 53506, 50880, 61437, 50930, 52306, 50867, 54822, 56133, 51431, 50828, 52629, 50828, 51509, 50930, 57238, 50930, 56846, 50841, 62986, 50839, 74011, 50829, 50709, 50333, 50840, 51690, 50949, 52487, 50961, 53506, 50828, 61437, 50930, 52306, 50837, 54822, 53383, 51431, 50890, 51509, 51010, 52629, 50890, 57238, 51010, 56846, 50836, 62986, 50836, 74011, 50855, 50709, 50333, 50887, 51690, 51010, 52487, 50962, 53506, 50890, 61437, 51010, 52306, 50886, 54822, 53705, 51431, 50930, 51509, 50962, 52629, 50930, 57238, 50962, 56846, 50840, 62986, 50836, 74011, 50840, 50709, 50333, 50809, 51690, 51010, 52487, 50962, 53506, 50930, 61437, 50962, 52306, 50857, 54822, 53891, 61715, 50894, 52334, 50894, 51431, 50894, 51509, 50894, 52629, 50894, 57238, 50894, 62986, 50855, 74011, 50800, 50709, 50333, 50800, 51690, 51010, 52487, 50962, 53506, 50894, 61437, 50894, 52103, 50844, 52306, 50844, 54822, 53783, 51431, 50883, 51509, 51031, 52629, 50883, 57238, 51031, 61715, 50894, 52334, 50894, 62986, 50839, 74011, 50828, 50709, 50333, 50884, 51690, 50949, 52487, 50883, 53506, 50883, 61437, 51031, 52103, 50844, 52306, 50829, 54822, 54028, 51431, 50884, 51509, 50961, 52629, 50884, 57238, 50961, 61715, 50894, 52334, 50894, 62986, 50839, 74011, 50839, 50709, 50333, 50846, 51690, 51031, 52487, 50961, 53506, 50884, 61437, 50961, 52103, 50844, 52306, 50835, 54822, 52802, 51431, 50880, 51509, 50962, 52629, 50880, 57238, 50962, 61715, 50894, 52334, 50894, 62986, 50828, 74011, 50836, 50709, 50333, 50809, 51690, 51031, 52487, 51031, 53506, 50880, 61437, 50962, 52103, 50844, 52306, 50867, 54822, 54199, 51431, 50961, 52629, 50961, 51509, 51010, 57238, 51010, 61715, 50894, 52334, 50894, 74011, 50846, 62986, 50840, 50709, 50333, 50887, 53506, 50961, 51690, 51010, 52487, 51010, 61437, 51010, 52103, 50844, 52306, 50834, 54822, 50857, 50799, 61715, 52512, 52334, 52512, 51431, 52512, 51509, 52512, 52629, 52512, 57238, 52512, 74011, 52512, 50709, 50333, 52512, 62986, 51358, 53506, 52512, 61437, 52512, 52487, 51407, 51690, 51407, 52103, 51397, 52306, 51397, 54822, 51397, 50438, 52334, 50950, 51509, 51012, 57238, 51012, 51431, 51192, 52629, 51192, 61715, 51653, 50709, 50333, 51012, 74011, 51192, 61437, 51012, 53506, 51192, 52103, 50810, 52306, 51242, 54822, 53586, 52334, 50855, 51509, 50855, 56846, 50855, 51690, 50855, 51713, 58182, 52334, 50962, 51509, 50962, 56846, 50962, 51690, 50962, 51713, 59854, 50645, 50799, 50645, 51509, 50930, 55005, 50840, 55749, 50855, 56846, 50930, 57778, 50854, 51165, 51010, 51384, 50930, 51690, 50930, 51394, 50821, 51713, 54657, 51509, 50883, 56846, 50883, 51690, 50883, 51713, 54104, 51509, 50890, 56846, 50890, 51690, 50890, 51713, 53935, 51509, 50880, 55005, 50855, 57778, 50857, 55749, 50855, 56846, 50880, 51165, 50930, 51394, 50890, 51384, 50930, 51690, 50880, 51713, 53860, 51509, 50818, 56846, 50818, 51690, 50818, 51713, 53439, 51509, 50887, 56846, 50887, 51690, 50887, 51713, 53945, 52336, 51010, 55005, 50855, 57778, 50867, 55749, 50862, 71751, 51010, 51165, 50930, 51394, 50887, 51384, 50930, 53089, 51010, 52366, 53524, 52629, 50811, 55005, 50855, 57778, 50867, 55749, 50862, 74011, 50811, 51165, 50930, 51394, 50887, 51384, 50930, 53506, 50811, 52306, 52800, 53954, 50811, 55005, 50836, 57778, 50857, 55749, 50862, 50709, 50330, 50811, 51165, 51010, 51394, 50890, 51384, 50930, 54970, 50811, 52991, 53211, 51509, 50961, 56846, 50961, 51690, 50961, 51713, 54794, 51509, 50930, 56846, 50930, 51690, 50930, 51713, 50857, 64996, 50962, 55005, 50840, 57778, 50813, 55749, 50855, 56846, 50962, 51165, 51010, 51394, 50890, 51384, 50962, 51690, 50962, 51713, 54657, 51509, 51031, 56846, 51031, 51690, 51031, 51713, 54316, 51509, 50880, 56846, 50880, 51690, 50880, 51713, 53803, 52336, 50950, 55005, 50836, 57778, 50862, 55749, 50836, 71751, 50950, 51165, 50962, 51394, 50880, 51384, 51010, 53089, 50950, 52366, 52658, 53954, 51031, 50709, 50330, 51031, 54970, 51031, 52991, 53908, 53954, 51010, 50709, 50330, 51010, 54970, 51010, 52991, 52781, 52629, 50811, 55936, 50839, 53994, 50840, 56979, 50836, 55520, 50862, 74011, 50811, 51201, 50883, 51154, 51010, 51284, 50962, 51304, 50930, 53506, 50811, 52306, 53524, 52067, 51010, 55936, 50820, 53994, 50840, 56979, 50862, 55520, 50836, 62986, 51010, 51201, 50895, 51154, 51010, 51284, 50880, 51304, 50962, 52487, 51010, 52002, 52800, 51509, 50930, 55936, 50828, 53994, 50836, 56979, 50862, 55520, 50836, 56846, 50930, 51201, 50949, 51154, 50962, 51284, 50880, 51304, 51010, 51690, 50930, 51713, 54199, 51509, 50884, 56846, 50884, 51690, 50884, 51713, 54603, 51509, 50880, 56846, 50880, 51690, 50880, 51713, 50867, 64996, 51010, 55005, 50836, 57778, 50855, 55749, 50836, 56846, 51010, 51165, 51010, 51394, 50930, 51384, 50962, 51690, 51010, 51713, 53299, 51509, 50949, 56846, 50949, 51690, 50949, 51713, 54316, 51509, 50962, 56846, 50962, 51690, 50962, 51713, 53383, 51509, 50880 ]
[ 0, 713, 765, 5175, 2214, 11, 272, 538, 1575, 10, 20535, 2810, 9, 17465, 102, 6, 32909, 6, 8, 326, 5638, 18026, 6, 7513, 30, 21072, 4, 590, 10, 20889, 9, 9680, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 3344, 9, 2635, 8, 2933, 6711, 29, 6, 19, 17878, 9, 11098, 10686, 13, 822, 50, 177, 2369, 36546, 4, 20, 33215, 16739, 83, 406, 6, 211, 406, 6, 272, 6, 83, 406, 6, 211, 406, 2092, 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 ]	[ 58375, 51744, 50993, 51866, 50824, 52194, 50824, 55184, 50824, 53257, 50824, 53257, 50824, 53867, 64381, 51509, 51973, 51579, 50993, 55679, 58329, 58329, 60739, 51744, 50881, 50607, 52057, 51509, 50993, 54885, 50824, 53257, 50824, 53257, 50824, 53779, 63058, 51579, 52116, 51744, 50993, 54552, 58329, 58329, 70216, 51485, 50881, 50605, 50803, 63355, 50802, 52384, 50802, 51866, 50802, 55184, 50802, 53257, 50824, 53867, 54107, 52039, 50823, 54552, 68562, 65514, 52039, 50823, 54552, 55996, 52039, 50823, 54552, 59184, 52190, 52057, 52039, 50802, 54552, 50802, 53257, 50824, 53779, 63058, 51579, 52116, 52039, 68562, 66395, 51898, 56250, 52298, 57239, 53779, 50803, 63355, 50824, 55184, 50824, 53257, 50824, 53867, 54107, 57216, 50824, 55938, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 55184, 50824, 57216, 58329, 70216, 51579, 50881, 50605, 50803, 50799, 52314, 50993, 52148, 51009, 52194, 51009, 55448, 50824, 53257, 50824, 53867, 64381, 51509, 51973, 52314, 50993, 54885, 58329, 60739, 51485, 50881, 50607, 52057, 51509, 50824, 51702, 50824, 53084, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 52039, 68562, 66395, 51898, 56250, 52298, 57239, 53779, 50803, 63355, 50824, 55184, 50824, 53257, 50824, 53867, 54107, 57216, 50824, 55938, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50824, 55005, 50824, 53257, 50824, 53779, 54145, 51744, 50824, 57216, 50824, 55938, 58329, 70216, 53779, 50803, 64934, 50824, 52194, 50824, 55679, 50824, 62383, 50824, 53257, 50824, 53867, 54107, 52067, 50824, 52194, 50824, 55495, 50824, 54885, 58329, 60739, 52190, 52057, 53147, 50993, 52488, 50993, 53192, 50993, 54552, 50824, 53257, 50824, 53779, 63058, 51579, 52116, 52039, 68562, 66395, 51898, 56250, 52298, 57239, 53779, 50803, 63355, 50824, 55679, 50824, 53257, 50824, 53867, 54107, 57216, 50824, 55938, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 55184, 50824, 57216, 58329, 70216, 51579, 50881, 50605, 50803, 50799, 52314, 50993, 52148, 51009, 52194, 51009, 55448, 50824, 53257, 50824, 53867, 64381, 51509, 51973, 52314, 50993, 54885, 58329, 60739, 51485, 50881, 50607, 52057, 51509, 50824, 51702, 50824, 53084, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 55216, 58329, 66395, 51744, 56250, 51485, 57239, 53779, 50803, 63355, 50824, 53942, 51009, 53257, 50824, 53867, 54107, 52384, 50824, 51866, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50993, 51866, 50824, 54552, 50824, 53257, 50824, 53779, 63058, 51744, 52116, 51485, 50824, 51866, 50824, 53084, 50824, 61438, 58329, 70216, 53779, 50803, 63355, 51009, 52384, 51009, 51866, 51009, 55184, 50824, 53257, 50824, 53867, 54107, 54552, 58329, 60739, 52190, 52057, 52629, 50993, 53572, 50993, 53459, 50993, 53942, 50824, 53257, 50824, 53779, 63058, 51579, 52116, 52039, 68562, 66395, 51898, 56250, 52298, 57239, 53779, 50803, 63355, 50824, 55184, 50824, 53257, 50824, 53867, 54107, 57216, 50824, 55938, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 55184, 50824, 57216, 58329, 70216, 51579, 50881, 50605, 50803, 50799, 52314, 50993, 52148, 51009, 52194, 51009, 55448, 50824, 53257, 50824, 53867, 64381, 51509, 51973, 52314, 50993, 54885, 58329, 60739, 51485, 50881, 50607, 52057, 51509, 50824, 51702, 50824, 53084, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 52039, 68562, 66395, 51898, 56250, 52298, 57239, 53779, 50803, 63355, 50824, 55184, 50824, 53257, 50824, 53867, 54107, 57216, 50824, 55938, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50824, 55005, 50824, 53257, 50824, 53779, 54145, 51744, 50824, 57216, 50824, 55938, 58329, 70216, 53779, 50803, 64934, 50824, 52194, 50824, 55679, 50824, 62383, 50824, 53257, 50824, 53867, 54107, 52067, 50824, 52194, 50824, 55495, 50824, 54885, 58329, 60739, 52190, 52057, 53147, 50993, 52488, 50993, 53192, 50993, 54552, 50824, 53257, 50824, 53779, 63058, 51579, 52116, 52039, 68562, 66395, 51898, 56250, 52298, 57239, 53779, 50803, 63355, 50824, 55679, 50824, 53257, 50824, 53867, 54107, 57216, 50824, 55938, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 55184, 50824, 57216, 58329, 70216, 51579, 50881, 50605, 50803, 50799, 52314, 50993, 52148, 51009, 52194, 51009, 55448, 50824, 53257, 50824, 53867, 64381, 51509, 51973, 52314, 50993, 54885, 58329, 60739, 51485, 50881, 50607, 52057, 51509, 50824, 51702, 50824, 53084, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 55216, 58329, 66395, 51744, 56250, 51485, 57239, 53779, 50803, 63355, 50824, 53942, 51009, 53257, 50824, 53867, 54107, 52384, 50824, 51866, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50993, 51866, 50824, 54552, 50824, 53257, 50824, 53779, 63058, 51744, 52116, 51485, 50824, 51866, 50824, 53084, 50824, 61438, 58329, 70216, 53779, 50803, 63355, 51009, 52384, 51009, 51866, 51009, 55184, 50824, 53257, 50824, 53867, 54107, 54552, 58329, 60739, 52190, 52057, 52629, 50824, 53572, 50824, 53459, 50824, 53942, 50824, 53257, 50824, 53779, 54145, 51431, 56972, 54098, 52298, 54934, 53779, 50803, 50799, 51898, 50824, 53994, 50824, 53257, 50824, 53867, 54107, 51431, 50824, 55679, 58329, 60739, 52190, 52057, 51509, 50824, 55184, 50824, 53257, 50824, 53779, 54145, 52067, 50824, 55936, 58329, 70216, 53779, 50803, 65578, 50823, 51866, 51184, 52194, 51184, 54552, 51352, 57216, 51300, 53257, 50824, 53867, 50824, 50419, 51579, 56733, 51579, 54107, 51335, 60739, 79430, 55448, 50881, 50607, 52057, 51744, 50824, 55184, 50824, 53257, 50824, 53779, 54145, 51744, 50993, 54552, 58329, 70216, 80080, 57216, 50881, 50605, 50803, 64996, 50993, 52148, 51009, 52194, 51009, 55448, 51009, 53257, 50824, 53867, 64381, 51744, 51973, 51509, 50993, 51335, 60739, 51744, 50881, 50607, 52057, 51485, 51300, 51702, 51300, 53084, 51300, 54552, 50824, 53257, 50824, 53779, 54145, 55216, 50993, 51335, 70216, 51641, 50803, 58524, 50881, 50605, 50803, 67659, 50993, 53942, 50993, 53257, 50824, 53867, 64381, 51641, 50803, 58524, 51973, 51744, 50993, 53942, 50993, 51335, 60739, 79430, 54885, 50881, 50607, 52057, 51579, 50824, 57538, 50824, 53257, 50824, 53779, 54145, 51431, 50823, 53942, 68562, 66395, 51431, 50823, 54885, 56250, 52298, 50823, 57538, 57239, 53779, 50803, 50799, 51898, 50824, 53994, 50824, 53257, 50824, 53867, 54107, 51431, 50824, 55679, 58329, 60739, 52190, 52057, 51509, 50824, 55184, 50824, 53257, 50824, 53779, 54145, 52067, 50824, 55936, 58329, 70216, 53779, 50803, 65578, 50823, 51866, 51184, 52194, 51184, 54552, 51352, 57216, 50824, 53257, 50824, 53867, 73354, 51579, 56733, 51579, 53537, 51579, 50993, 57216, 50993, 51335, 60739, 79430, 55448, 50881, 50607, 52057, 51744, 51300, 55184, 50824, 53257, 50824, 53779, 54145, 54552, 58329, 70216, 80080, 57216, 50881, 50605, 50803, 50799, 52314, 50823, 52148, 51009, 52194, 51009, 55448, 51009, 53257, 50824, 53867, 73354, 52314, 56733, 52314, 53537, 52314, 50993, 51335, 60739, 51744, 50881, 50607, 52057, 51485, 50993, 52698, 50993, 52194, 50993, 54885, 50824, 53257, 50824, 53779, 63058, 52067, 52116, 51579, 50993, 52148, 50824, 52194, 50824, 55448, 58329, 70216, 52314, 50881, 50605, 50803, 65578, 50802, 51866, 50802 ]
[ 0, 250, 1372, 8, 19448, 3495, 2214, 4246, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 4, 20, 2214, 16, 11, 204, 73, 306, 86, 6543, 8, 34, 10, 33215, 16739, 9, 3676, 6, 381, 6, 1918, 6, 3676, 6, 8, 163, 119, 1176, 406, 4, 85, 18, 10, 765, 2214, 14, 7630, 6568, 6453, 9, 657, 6, 11926, 6, 8, 7125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52012, 58187, 51131, 50943, 50986, 50943, 50998, 56389, 61447, 65868, 50998, 55247, 61447, 65868, 69164, 65309, 60324, 51131, 51003, 76338, 50998, 56509, 61447, 65868, 50998, 55247, 73077, 66860, 70700, 65309, 51097, 51292, 72599, 76338, 50998, 56509, 66860, 70700, 51032, 77069, 65868, 50998, 57414, 51076, 50905, 65309, 51097, 51076, 72440, 76081, 50998, 55965, 71311, 70439, 50947, 73006, 66860, 70700, 65309, 60324, 51317, 51003, 50998, 51003, 50947, 57937, 51317, 50981, 70700, 51064, 57105, 51317, 50981, 70700, 50947, 50995, 60533, 51097, 50929, 68537, 51131, 50943, 50960, 56389, 51131, 50995, 70642, 50970, 51677, 50450, 73077, 69432, 60533, 54869, 51131, 51003, 50960, 56509, 61447, 64226, 50970, 51477, 50450, 61447, 50960, 57414, 77661, 65962, 50932, 50998, 54644, 51136, 53172, 50998, 54100, 50947, 54233, 51032, 52122, 50444, 51076, 56697, 50947, 53581, 77661, 65962, 50932, 50998, 55126, 51136, 53770, 50998, 53387, 50970, 53913, 50960, 55200, 51311, 54323, 51846, 54509, 60419, 65309, 51097, 51131, 58187, 76081, 70699, 50947, 55965, 51574, 50995, 65868, 69164, 50947, 55247, 51725, 50995, 66860, 70700, 50947, 50981, 51057, 52012, 50995, 66860, 70700, 50947, 50981, 51057, 50947, 51477, 50432, 71886, 61108, 50995, 50929, 72599, 51311, 50914, 50970, 55965, 51311, 50915, 50970, 55247, 51311, 50995, 78349, 61108, 73318, 51169, 54335, 50947, 53387, 51076, 55306, 50929, 51445, 50444, 50970, 53562, 50960, 54509, 66906, 65309, 51097, 50929, 55277, 50426, 51207, 50943, 50986, 56389, 72103, 66860, 50998, 77307, 72103, 66860, 63133, 58187, 61447, 50986, 54975, 80145, 51032, 50918, 51292, 72044, 50929, 53082, 51032, 52121, 50456, 51438, 50845, 61108, 51097, 51292, 68537, 56745, 51076, 52424, 64226, 51076, 50915, 51067, 73006, 64226, 51076, 50915, 61108, 60726, 50929, 53478, 50426, 51078, 55544, 50970, 53913, 78349, 51076, 50995, 51292, 69830, 74376, 51076, 58667, 51067, 50892, 61080, 50932, 51032, 52337, 50426, 50998, 51003, 50929, 64164, 70700, 50929, 77307, 69164, 50929, 51717, 73934, 58187, 64226, 50998, 57937, 69432, 50998, 57105, 69432, 70700, 62954, 50981, 50998, 55382, 66860, 70700, 50947, 51692, 50438, 66860, 50998, 57105, 51846, 50995, 61108, 58326, 76079, 50929, 68116, 50970, 51003, 50929, 77307, 51504, 50995, 50929, 51047, 65962, 50995, 50929, 52121, 50426, 76081, 70699, 51032, 52250, 50438, 65868, 50998, 55247, 51574, 51097, 58700, 58187, 74175, 70804, 50947, 57937, 52028, 50995, 50947, 57991, 51136, 50889, 51078, 50889, 50947, 50981, 61108, 50981, 50947, 55041, 50929, 78046, 51078, 54342, 50929, 52122, 50438, 50947, 53999, 51076, 55125, 51032, 53454, 50456, 79749, 61108, 50995, 51292, 51692, 50426, 70804, 51076, 53912, 74376, 51076, 57105, 69916, 51076, 50915, 51067, 50995, 61080, 50995, 70439, 51032, 52096, 50438, 53092, 51097, 51846, 50932, 50970, 50932, 50929, 51801, 65309, 60324, 51131, 50943, 50986, 50943, 50998, 56389, 61447, 65868, 50998, 55247, 73077, 66860, 70700, 65309, 60324, 51131, 51003, 76338, 50998, 56509, 61447, 65868, 50998, 55247, 73077, 66860, 70700, 65309, 50995, 51292, 68537, 76338, 50998, 56509, 65868, 69164, 51032, 52337, 50450, 66860, 50998, 58667, 79751, 65309, 50995, 51076, 72440, 76338, 50998, 56509, 66860, 70700, 50947, 73006, 65868, 69164, 65309, 60324, 51317, 51003, 50998, 51003, 50947, 54498, 51317, 50981, 70700, 51064, 55247, 51317, 50995, 70439, 50947, 50995, 60533, 51097, 50929, 52121, 50426, 51131, 50943, 50960, 56389, 73077, 69432, 50970, 51662, 50450, 61447, 64226, 60533, 54869, 51131, 50943, 50960, 56389, 73077, 69432, 50970, 72044, 61447, 50960, 57414, 77661, 65962, 51097, 50998, 55041, 51136, 53172, 50998, 54100, 50947, 54233, 51032, 52250, 50444, 51076, 54323, 50947, 54509, 71658, 65962, 50995, 50998, 55126, 51136, 53770, 50998, 54100, 50970, 53264, 50960, 55200, 51311, 54323, 51846, 54771, 60419, 65309, 51097, 51131, 58187, 66776, 74313, 50947, 53912, 51574, 50981, 66860, 70700, 50947, 57105, 51725, 51097, 65868, 69164, 68020, 65309, 50995, 66860, 70700, 50947, 50981, 61108, 51097, 50929, 53478, 50426, 69095, 50970, 52424, 51311, 51003, 50970, 57197, 51311, 50915, 69916, 61108, 73318, 51169, 56307, 50947, 53387, 51076, 55306, 50929, 51445, 50444, 50970, 54323, 50960, 54771, 70696, 65309, 50995, 50929, 55408, 50426, 51207, 51003, 50986, 56509, 68986, 65868, 50998, 77307, 68986, 65868, 63133, 60324, 51131, 50943, 50986, 56389, 80145, 51032, 50918, 51292, 72269, 50929, 53082, 51032, 52121, 50456, 51438, 50892, 61108, 51097, 51292, 51244, 65404, 50889, 51076, 53912, 50960, 51003, 51076, 51003, 51067, 51244, 50450, 64226, 51076, 50915, 61108, 73318, 50929, 52826, 50426, 51078, 54100, 50970, 53913, 71932, 51076, 51097, 51292, 58624, 74376, 51076, 58667, 79749, 61080, 51097, 51032, 52121, 50426, 70699, 50929, 64050, 69164, 50929, 69600, 70700, 50929, 52121, 73934, 58326, 64226, 50998, 56656, 69432, 50998, 57105, 64226, 69164, 62954, 50995, 50998, 58326, 76338, 50998, 51003, 50947, 51518, 50438, 65868, 50998, 55247, 51846, 51097, 61108, 58187, 70804, 50929, 68116, 74376, 50929, 73006, 51504, 51097, 50929, 51047, 65962, 50981, 50929, 51717, 50426, 50986, 50943, 50998, 50943, 51032, 52122, 50438, 66860, 50998, 57105, 51574, 51097, 58700, 58326, 74175, 70804, 50947, 56656, 52028, 50995, 50947, 57991, 51136, 50889, 51078, 50889, 50947, 50981, 61108, 50995, 50947, 54644, 50929, 76906, 51078, 54342, 50929, 52121, 50438, 50947, 55945, 51076, 55125, 51032, 52644, 50456, 79749, 61108, 50995, 51292, 51692, 50426, 62768, 51076, 52424, 50970, 51003, 51076, 57197, 74376, 51076, 50981, 51067, 50995, 61080, 50995, 50998, 56656, 53092, 50995, 51846, 51097, 71932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5175, 2214, 19, 10, 2842, 9, 15073, 6, 4246, 10, 20535, 2810, 6, 13305, 6, 6755, 12547, 6, 3459, 9590, 6, 8, 21072, 4, 20, 33301, 30853, 11, 230, 538, 23, 41, 12447, 1001, 20889, 6, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 46336, 4811, 16, 1490, 2115, 5, 40286, 272, 401, 6, 272, 119, 406, 6, 8, 274, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50438, 51326, 78825, 55920, 50816, 56112, 50816, 50820, 51899, 50930, 54706, 55891, 51224, 54262, 50578, 50882, 50799, 51913, 50950, 52002, 50950, 50871, 70339, 51977, 50877, 51623, 50945, 51745, 51201, 51675, 51690, 52282, 50798, 78053, 51012, 51206, 51059, 51587, 54024, 51963, 50950, 51776, 58609, 52103, 50858, 51713, 55884, 51963, 50882, 51776, 54856, 51913, 59939, 52002, 59939, 51720, 51653, 51262, 67483, 50803, 51536, 51779, 79513, 55886, 63436, 51237, 51587, 52674, 50798, 60831, 50945, 54459, 51271, 58680, 51420, 67549, 52284, 50900, 51653, 50871, 51653, 50877, 51653, 51384, 50932, 54970, 54214, 56505, 51133, 56421, 53960, 54132, 50993, 51587, 57251, 50900, 52266, 50916, 53174, 50861, 53174, 51019, 52512, 51304, 53363, 53506, 55362, 50852, 50911, 51528, 78053, 54449, 51973, 51817, 50993, 51536, 50882, 52395, 50950, 53145, 56701, 79513, 55886, 54132, 51237, 51587, 50882, 56215, 60831, 51019, 50880, 51450, 52938, 67549, 50950, 50440, 51817, 51010, 55513, 51653, 50916, 51653, 50861, 51427, 51271, 53236, 54988, 51817, 62175, 53960, 54132, 50993, 51587, 54403, 50997, 52266, 50956, 53174, 50861, 51486, 51271, 72223, 52227, 51012, 50799, 51963, 50950, 51776, 50950, 50964, 51745, 51394, 51790, 53089, 52282, 50798, 55886, 51012, 51587, 72088, 52103, 50950, 51713, 58609, 52970, 50821, 52099, 54007, 52103, 50821, 51713, 52422, 51963, 52512, 51776, 52512, 51133, 50993, 51262, 50882, 51355, 50950, 51536, 56701, 79513, 55886, 63436, 51237, 51587, 57836, 50964, 51747, 52841, 51133, 54168, 51373, 67549, 55920, 50997, 51427, 50956, 51653, 50861, 51653, 63252, 51304, 50915, 53506, 56001, 54988, 51963, 50882, 51913, 51012, 51776, 50882, 52002, 51012, 50964, 54416, 53960, 54132, 50993, 51587, 52935, 52103, 52379, 51713, 52379, 50997, 51685, 50899, 52827, 50871, 51685, 51186, 51745, 51201, 51151, 51690, 51359, 50852, 50911, 51528, 78053, 54449, 54856, 51186, 51653, 51262, 50882, 51355, 50950, 51536, 56701, 79513, 55886, 54132, 51237, 51587, 57836, 51096, 51730, 52599, 50871, 50841, 50997, 63891, 50858, 51186, 54168, 51582, 67549, 50882, 55513, 51745, 50916, 51059, 50861, 51745, 51186, 61712, 56505, 51133, 52997, 53960, 54132, 50993, 51587, 54403, 51133, 50911, 52723, 51104, 51012, 50799, 51913, 50950, 52002, 50950, 50900, 52282, 50871, 52282, 50877, 51977, 50945, 51226, 51201, 51591, 51690, 51591, 50798, 55886, 51012, 51587, 60845, 51963, 50950, 51776, 58609, 52103, 50882, 51713, 57625, 51963, 50821, 51776, 52422, 51913, 56082, 52002, 56082, 51720, 51653, 51262, 50882, 51355, 50950, 51536, 56701, 79513, 55886, 63436, 51237, 51587, 50950, 56215, 63443, 67518, 51450, 53330, 67549, 50950, 50440, 51271, 51072, 55513, 51160, 50871, 51427, 50877, 51653, 51384, 50915, 54970, 57825, 54988, 51133, 56421, 52516, 54132, 50993, 51587, 54403, 50900, 51941, 50916, 53174, 50861, 52266, 51019, 52512, 51304, 52919, 53506, 54527, 50852, 50911, 51528, 51594, 54449, 54856, 51817, 51072, 51536, 50882, 52395, 50950, 53145, 56701, 56675, 55886, 54132, 51237, 51587, 57836, 51019, 52589, 54181, 51817, 54168, 51373, 67549, 50882, 55513, 50991, 50916, 51653, 50861, 51160, 51271, 51520, 56505, 52103, 51012, 51713, 51012, 51817, 62175, 53960, 54132, 50993, 51587, 54403, 51906, 50950, 52366, 50950, 50997, 52266, 50956, 53174, 50861, 52266, 51271, 51483, 76381, 51012, 50799, 51683, 51116, 52306, 51116, 50964, 51745, 51811, 51358, 59269, 64253, 53960, 51012, 51587, 54856, 51683, 51012, 52306, 51012, 51133, 51653, 51262, 50821, 51355, 50950, 51536, 54092, 79513, 55886, 63436, 51237, 51587, 53917, 51913, 51029, 52002, 51029, 50435, 50964, 51730, 53415, 51133, 54451, 51373, 67549, 55920, 50997, 51427, 50956, 51653, 50861, 51427, 51133, 51012, 51384, 50914, 54970, 54214, 54988, 52719, 51012, 51648, 51012, 50964, 56155, 52516, 54132, 50993, 51587, 54403, 52103, 51184, 51713, 51184, 50997, 51977, 50899, 52827, 50871, 52282, 74186, 51394, 55844, 53089, 53259, 50852, 50911, 51528, 52516, 54449, 56519, 51186, 51160, 51262, 50882, 51355, 50950, 51536, 54092, 79513, 55886, 54132, 51237, 51587, 64917, 51096, 53393, 52841, 50997, 61441, 69857, 50800, 51186, 54168, 53330, 67549, 50950, 55513, 51745, 50916, 51745, 50861, 51745, 51186, 50860, 52531, 50966, 54988, 51133, 62175, 56429, 51052, 54132, 50993, 51587, 53532, 50816, 57251, 51133, 50911, 52531, 50966, 58052, 51012, 54578, 70339, 51977, 50877, 51623, 50945, 51745, 50798, 78053, 51012, 51206, 51237, 51587, 51973, 51720, 51653, 51262, 67483, 50803, 51536, 50803, 58417, 56701, 79513, 55886, 63436, 51237, 51587, 52119, 58417, 53660, 50798, 60831, 50945, 54459, 51271, 51072, 58417, 54168, 51420, 67549, 52284, 50900, 51653, 50871, 51653, 50877, 51653, 58417, 55195, 56505, 51133, 51012, 55750, 56701, 53960, 54132, 50993, 51587, 57251, 50900, 52266, 50916, 53174, 50861, 53174, 51019, 52512, 55594, 58052, 50911, 50799, 52998, 54168, 78053, 54449, 52244, 52998, 51631, 51817, 50993, 51536, 50882, 52395, 50950, 53145, 50950, 55594, 56421, 79513, 55886, 54132, 51237, 51587, 53917, 52998, 51235, 56215, 60831, 51019, 50880, 51450, 52938, 67549, 50950, 50440, 51817, 51010, 55513, 51653, 50916, 51653, 50861, 51427, 51271, 53236, 54988, 51817, 62175, 53960, 54132, 50993, 51587, 54403, 50997, 52266, 50956, 53174, 50861, 51486, 51271, 72223, 52227, 51012, 52534, 51745, 50798, 55886, 51012, 51587, 50950, 50421, 58417, 56800, 51133, 50993, 51262, 50882, 51355, 50950, 51536, 50950, 52998, 52997, 79513, 55886, 63436, 51237, 51587, 53917, 52998, 61023, 50964, 51747, 52841, 51133, 54168, 51373, 67549, 68749, 52998, 60159, 50997, 51427, 50956, 51653, 50861, 51653, 63252, 52998, 53235, 50882, 50449, 52998, 53938, 50964, 54416, 53960, 54132, 50993, 51587, 64380, 53907, 54896, 50997, 51685, 50899, 52827, 50871, 51685, 51186, 51745, 55594, 51483, 50852, 50911, 51528, 78053, 54449, 77287, 55594, 52247, 51186, 51653, 51262, 50882, 51355, 50950, 51536, 56701, 79513, 55886, 54132, 51237, 51587, 68315, 55750, 62019, 52998, 51735, 50435, 51096, 51730, 52599, 50871, 50841, 50997, 63891, 50858, 51186, 54168, 51582, 67549, 50882, 55513, 51745, 50916, 51059, 50861, 51745, 51186, 61712, 75728, 55750, 63758, 51133, 52997, 53960, 54132, 50993, 51587, 54403, 51133, 50911, 58417, 51237, 52723, 51104, 51012, 53975, 52282, 50871, 52282, 50877, 51977, 50945, 64418, 55886, 51012, 51587, 54856, 51720, 51653, 51262, 50882, 51355, 50950, 51536, 50950, 58417, 52997, 79513, 55886, 63436, 51237, 51587, 56896, 58417, 53660, 50798, 63443, 50945, 54362, 58417, 53393, 53330, 67549, 50950, 50440, 51271, 51072, 55513, 51160, 50871, 51427, 50877, 51653, 58417, 51730, 54988, 51133, 51012, 55750, 56701, 52516, 54132, 50993, 51587, 54403, 50900, 51941, 50916, 53174, 50861, 52266, 51019, 52512, 55594, 54984, 50911, 50799, 52998, 54168, 51594, 54449, 55446, 52998, 52247, 51817, 51072, 51536, 50882, 52395, 50950, 53145, 50950, 55594, 56701, 56675, 55886, 54132, 51237, 51587, 53917, 52998, 51427, 50435, 51019, 52589, 54181, 51817, 54168, 51373, 67549, 50882, 55513, 50991, 50916, 51653, 50861, 51160, 51271, 50803, 55750, 55195, 56505, 51817, 51138, 55594, 51779, 53960, 54132, 50993, 51587, 54403, 50997, 52266, 50956, 53174, 50861, 52266, 51271, 51483, 52998, 51012, 76381, 51012, 52534, 51745, 55594 ]
[ 0, 250, 8787, 3495, 15229, 278, 11, 230, 3694, 6, 42, 2125, 7630, 6568, 10, 25306, 8, 3722, 5466, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 13305, 1239, 5, 483, 6, 32971, 19448, 8, 15352, 30054, 2301, 14, 1994, 7, 12049, 9, 657, 4, 20, 46336, 4811, 16, 1490, 2115, 5, 3222, 5785, 227, 5, 274, 406, 8, 163, 428, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 52206, 51297, 50416, 51085, 52134, 50417, 52206, 51297, 50418, 51085, 79786, 52206, 51297, 50422, 51085, 52134, 50423, 52206, 51297, 50424, 51085, 72769, 52206, 51297, 50428, 51085, 52134, 50429, 52206, 51297, 50430, 51085, 72605, 52206, 51297, 50434, 51085, 52134, 50435, 52206, 51297, 50436, 51085, 52134, 50438, 52206, 54731, 50308, 53126, 50314, 53126, 50316, 51333, 50440, 51085, 52134, 50441, 52206, 51297, 50442, 51085, 76373, 52206, 51297, 50446, 51085, 52134, 50447, 52206, 51297, 50448, 51085, 73792, 52206, 54731, 50308, 53096, 50906, 53096, 50876, 52034, 50452, 51085, 52134, 50453, 52206, 51297, 50454, 51085, 69249, 52206, 51297, 50458, 51085, 52134, 50459, 50626, 52206, 54731, 50308, 51022, 50906, 51022, 71089, 50460, 51085, 52134, 57530, 52206, 54731, 50309, 51703, 50906, 51703, 50902, 51447, 50416, 51085, 52134, 50417, 52206, 51297, 50418, 51085, 79786, 52206, 51297, 50422, 51085, 52134, 50423, 52206, 51297, 50424, 51085, 72769, 52206, 51297, 50428, 51085, 52134, 50429, 52206, 51297, 50430, 51085, 72605, 52206, 51297, 50434, 51085, 52134, 50435, 52206, 51297, 50436, 51085, 52134, 50438, 52206, 54731, 50311, 77418, 52845, 50320, 51108, 50440, 51085, 52134, 50441, 52206, 51297, 50442, 51085, 76373, 52206, 51297, 50446, 51085, 52134, 50447, 52206, 51297, 50448, 51085, 71841, 52206, 54731, 50311, 52460, 50906, 52460, 50968, 51645, 50452, 51085, 51851, 50453, 52206, 51297, 50454, 51085, 71736, 52206, 51297, 50458, 51085, 79440, 50627, 52206, 54731, 50311, 50907, 69195, 57910, 50460, 51085, 51851, 56103, 52206, 54191, 50313, 51314, 50876, 51314, 50931, 51244, 50416, 51085, 51851, 50417, 52206, 51128, 50418, 51085, 73094, 52206, 73192, 51085, 51851, 50423, 52206, 77679, 51085, 73274, 52206, 51128, 50428, 51085, 51851, 50429, 52206, 51128, 50430, 51085, 67494, 52206, 70301, 51085, 51851, 50435, 52206, 51128, 50436, 51085, 70511, 50628, 52206, 52666, 50314, 78172, 74826, 50915, 50440, 51085, 51297, 50441, 52206, 74965, 51085, 60226, 52206, 64529, 51085, 63491, 52206, 68656, 51085, 60801, 52206, 68917, 75514, 52019, 50322, 51003, 50452, 51085, 51128, 50453, 52206, 68357, 51085, 60272, 52206, 62298, 51085, 68248, 52206, 68358, 51085, 51128, 61628, 78176, 78172, 74826, 51003, 50416, 51085, 79754, 52206, 71045, 51085, 58387, 52206, 68684, 51085, 64367, 52206, 69156, 51085, 57203, 50627, 52206, 69666, 75514, 52019, 50322, 52019, 50325, 51003, 50428, 51085, 68364, 52206, 64408, 51085, 60838, 52206, 64248, 51085, 66129, 52206, 64359, 51085, 51703, 50438, 50627, 52206, 52212, 50876, 71278, 71946, 51741, 50326, 56508, 50629, 52357, 57622, 51062, 53820, 52357, 56569, 50627, 77670, 57530, 52357, 62479, 50626, 50951, 51534, 51081, 51203, 50435, 50625, 66735, 50999, 52691, 50627, 50876, 51447, 50951, 51244, 50450, 50629, 52357, 55371, 51062, 55346, 52357, 56573, 50627, 51062, 50984, 50799, 52357, 62666, 50951, 52034, 51081, 51172, 50435, 50627, 71427, 50999, 64704, 50629, 62204, 53164, 50323, 52454, 50340, 58573, 51062, 60466, 52357, 58068, 51062, 51123, 50449, 50629, 50450, 50630, 50931, 52845, 50325, 51517, 50340, 66379, 51062, 60004, 52357, 62065, 51062, 51123, 57739, 50876, 52454, 50323, 52019, 50340, 62311, 51062, 55740, 52357, 55054, 51062, 76785, 50630, 50426, 50631, 50931, 52454, 50325, 52019, 50340, 54889, 51062, 55100, 52357, 53720, 51062, 53269, 50631, 50876, 65300, 51741, 50328, 52826, 52357, 52826, 50450, 50632, 51120, 67119, 51003, 54458, 51085, 62447, 54243, 50632, 51324, 52454, 50303, 56509, 50631, 51085, 52454, 50304, 57197, 50631, 51234, 52026, 50302, 51003, 57739, 51279, 52026, 50301, 50914, 50416, 50629, 50417, 50629, 50419, 50629, 50420, 50629, 50422, 50629, 50423, 50629, 50425, 50629, 50426, 50629, 51214, 71169, 78958, 50629, 50429, 50629, 50430, 50629, 50432, 50629, 50433, 50628, 50435, 50628, 50436, 50628, 50437, 50628, 50438, 50633, 51247, 51490, 51050, 51145, 77920, 50877, 51244, 50876, 51145, 50931, 51103, 50439, 50631, 54458, 51085, 51490, 50900, 51145, 50861, 51244, 50876, 51145, 50968, 64050, 50631, 51214, 51703, 51026, 51148, 50861, 51244, 50973, 51148, 50902, 51127, 54458, 51085, 51490, 50900, 51145, 50861, 51244, 50876, 51145, 50968, 64050, 50632, 51279, 51490, 51027, 51145, 77920, 77113, 56236, 51234, 52845, 50302, 60138, 51244, 50906, 51145, 50902, 69027, 50631, 51279, 53164, 50301, 56656, 50631, 51214, 51703, 51026, 51148, 50861, 51244, 50906, 51145, 50968, 51127, 61791, 51247, 52136, 51050, 51310, 50871, 51477, 50877, 51477, 50876, 51310, 50931, 71378, 50631, 50871, 52440, 50876, 52147, 50999, 52147, 51062, 52147, 51339, 51703, 56236, 50899, 53801, 50902, 52440, 50999, 53055, 51146, 53055, 51339, 52147, 74482, 50916, 52440, 50876, 52212, 50951, 52147, 51062, 51703, 54458, 50871, 52212, 50876, 51490, 50999, 51703, 51062, 51447, 50438, 50632, 50871, 78181, 51490, 50931, 51703, 50999, 67303, 50632, 50861, 52454, 50326, 52011, 54458, 50877, 52147, 50876, 51703, 50931, 52212, 51062, 51490, 74482, 50861, 52147, 50902, 52212, 50931, 52147, 51081, 51703, 57448, 50877, 55812, 51028, 53577, 50968, 53280, 50999, 52136, 50438, 50632, 50899, 53164, 50318, 78504, 51490, 50999, 51080, 55895, 53164, 50316, 51330, 55435, 51490, 50906, 75575, 51490, 51081, 51490, 51146, 67608, 50632, 51086, 51447, 50973, 51244, 50931, 51314, 50951, 51314, 51146, 51244, 56236, 50900, 51447, 50876, 51244, 50968, 51080, 50951, 51080, 51062, 65680, 50632, 51040, 51080, 51028, 51148, 50951, 51080, 50999, 51080, 51430, 51145, 56236, 50899, 51447, 50902, 51244, 50931, 51080, 50999, 51080, 51146, 51145, 51339, 64488, 50632, 50861, 51490, 50951, 51517, 50327, 51080, 51146, 73006, 50630, 50931, 51108, 57128, 50876, 52136, 50968, 51637, 50951, 51477, 51062, 66744, 50627, 51120, 51145, 50439, 50627, 51027, 51314, 50440, 50626, 50899, 51244, 50871, 51749, 50441, 50626, 50877, 51749, 50442, 50625, 50902, 51535, 50931, 51535, 50443, 50627, 50449, 50628, 50450, 50633, 58402, 51279, 51447, 51027, 51145, 50916, 75656, 66743, 51148, 50968, 64164, 50624, 51234, 51148, 50439, 50625, 51050, 51447, 50440, 50625, 50997, 51145, 50899, 51535, 50441, 50626, 50871, 51627, 50442, 50626, 50906, 51562, 50902, 51535, 50443, 50626, 50450, 50634, 56236, 51247, 51447, 51050, 79304, 51244, 71578, 72734, 50876, 64345, 51966, 51490, 51378, 51148, 50899, 51244, 72734, 50902, 51127, 54458, 51214, 51447, 51026, 51145, 50899, 51244, 65218, 50906, 55973, 50877, 54975, 50630, 52206, 51447, 51085, 77132, 68184, 51047, 50861, 66563, 50629, 50997, 50981, 50799, 50620, 51247, 50841, 51027, 50959, 50900, 57911, 68381, 50619, 51085, 76226, 50620, 51050, 56231, 51027, 51172, 50418, 50620, 50900, 51642, 50419, 50620, 50871, 51481, 50420, 50620, 50877, 58092, 50876, 59136, 50620, 50931, 53899, 50999, 59768, 50620, 50931, 58964, 50876, 52670, 50620, 51050, 58245, 50621, 50900, 66518, 50621, 50871, 55028, 50877, 60443, 50621, 50876, 59277, 50931, 53031, 50621, 50999, 57107, 50621, 51062, 59347, 50621, 51339, 54288, 50621, 51814, 58316, 50620, 51339, 57352, 50620, 51062, 53040, 50621, 50871, 55698, 50621, 50876, 63442, 50621, 50931, 55262, 50621, 50999, 58655, 50621, 51062, 58616, 51339, 53162, 50621, 51814, 57460, 52357, 56892, 50621, 52956, 54368, 55738, 58321, 50621, 52956, 56918, 52357 ]
[ 0, 250, 15855, 15229, 19, 10, 25306, 27456, 6, 42, 765, 2125, 16, 17407, 30, 63, 1769, 20889, 8, 381, 3694, 762, 4, 20, 6755, 12547, 1239, 5, 483, 6, 2800, 30, 5, 4066, 23225, 9, 5, 9590, 3863, 6, 1515, 21305, 6, 2342, 4467, 6, 8, 38668, 22052, 4, 590, 10, 16331, 33215, 16739, 9, 163, 406, 6, 3676, 6, 1918, 401, 6, 8, 3676, 6, 24, 7630, 6568, 10, 1472, 9, 9066, 2821, 16235, 326, 25963, 19, 15073, 8, 3722, 5581, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 63515, 70321, 51029, 51301, 51029, 51301, 51029, 52091, 52512, 54807, 51029, 59813, 51552, 60856, 61511, 51154, 51010, 51154, 51010, 51154, 51010, 51821, 51045, 53448, 50962, 55840, 50880, 70321, 51029, 51301, 51029, 51301, 51029, 52091, 52097, 54807, 51552, 59813, 51496, 50432, 51154, 51010, 51154, 51045, 51154, 51045, 51821, 50894, 53448, 50930, 55840, 50890, 70321, 50824, 51301, 50824, 51301, 51237, 52091, 51054, 54807, 51054, 59813, 62945, 51154, 50949, 51154, 50962, 51154, 50962, 51821, 50930, 53448, 50930, 55840, 54292, 51301, 51054, 51301, 51054, 51301, 51237, 52091, 51090, 54807, 51054, 59813, 61860, 66441, 66441, 51154, 50930, 51821, 50880, 53448, 50880, 55840, 50880, 67004, 51266, 50972, 51266, 50838, 51266, 51212, 52091, 50904, 54807, 50974, 59813, 58671, 52091, 54711, 51201, 50837, 51201, 51126, 51201, 51000, 51821, 50978, 53448, 57559, 51201, 54317, 51266, 50937, 51266, 51242, 51266, 51242, 52091, 50829, 54807, 50892, 57921, 55863, 52091, 54854, 51600, 50825, 51600, 50941, 51600, 50904, 52582, 50866, 57478, 55643, 51600, 54728, 51266, 50917, 51266, 51101, 51266, 51101, 52091, 50841, 54807, 51178, 57921, 59397, 52091, 53524, 51629, 50941, 51629, 50886, 51629, 50857, 52398, 50849, 55403, 76173, 51629, 54385, 51266, 50865, 51266, 51121, 51266, 51100, 52091, 50841, 54807, 50917, 57921, 58045, 52091, 53211, 51284, 70528, 50813, 51284, 50862, 51701, 50865, 53941, 54625, 51284, 50855, 73296, 51158, 51266, 51173, 51266, 51173, 52091, 50887, 54807, 51173, 57921, 66802, 52091, 52871, 51558, 50884, 51558, 50840, 51558, 50809, 52252, 50893, 55323, 53467, 51558, 53548, 51266, 50911, 51266, 51192, 51266, 51286, 52091, 50895, 54807, 51286, 57921, 63043, 52091, 57748, 51304, 50961, 51304, 50887, 51304, 50880, 51716, 51033, 53011, 56486, 51304, 55395, 51266, 51505, 51266, 51505, 51266, 51505, 52091, 50930, 54807, 51388, 57921, 62442, 52091, 60224, 51384, 50949, 51384, 50930, 51384, 51010, 52009, 51021, 53827, 60555, 51384, 54755, 51266, 50976, 51266, 50976, 51266, 50975, 52091, 51010, 54807, 50923, 57921, 56353, 52091, 62620, 51811, 51031, 51811, 50811, 51811, 50811, 53034, 50950, 55724, 58561, 51811, 50883, 50799, 51558, 51054, 51733, 51054, 51733, 51237, 54229, 51054, 54850, 51573, 57921, 67566, 51690, 50883, 51690, 50961, 51304, 50890, 53051, 50961, 53011, 50883, 54713, 54292, 51558, 51054, 51733, 51090, 51733, 51237, 54229, 51054, 54850, 51054, 57921, 64466, 51304, 50880, 51690, 50880, 51690, 50930, 53051, 50930, 55323, 50883, 60630, 50880, 50799, 51733, 51054, 51733, 51054, 51558, 51573, 54229, 51237, 54850, 51054, 57921, 67566, 51304, 50930, 52405, 50880, 52405, 50930, 53051, 50858, 53941, 50930, 56847, 54957, 51733, 51237, 51733, 51237, 51558, 51237, 54229, 51054, 54850, 51054, 57921, 64466, 52838, 50930, 52838, 50930, 51811, 50921, 53372, 51033, 55403, 50821, 57980, 50821, 59412, 52838, 51000, 54051, 50874, 52173, 50904, 52857, 54317, 51395, 50904, 52838, 50941, 51304, 50851, 52398, 50851, 53034, 50904, 55403, 50851, 57980, 50912, 52900, 51006, 55132, 51006, 60767, 51174, 55444, 50972, 56177, 50827, 52541, 50851, 51836, 51051, 52541, 50838, 51641, 50907, 51947, 50838, 52377, 51172, 56380, 51961, 50437, 52838, 53980, 51395, 50820, 51304, 50813, 52838, 50867, 52398, 50822, 53034, 50867, 57478, 50959, 66168, 51008, 54051, 50854, 52900, 50844, 55132, 50955, 52173, 50857, 52857, 50857, 50721, 50286, 51008, 58030, 51008, 56177, 50822, 52541, 50822, 52541, 50822, 51836, 50959, 51641, 50822, 51947, 50905, 52698, 50905, 58502, 78876, 52838, 52800, 51395, 50809, 51304, 50809, 52838, 50855, 53034, 50855, 52398, 50855, 53448, 50833, 55840, 50812, 54051, 50800, 52900, 50925, 55132, 50925, 52173, 50862, 52857, 50862, 50721, 50286, 50987, 58030, 50844, 56177, 50810, 52541, 50810, 52541, 50833, 51836, 50925, 51641, 50833, 51947, 50873, 52698, 50873, 58502, 78971, 52838, 50858, 50799, 52838, 50858, 51107, 52208, 51558, 51469, 52252, 51413, 52009, 51285, 53448, 51173, 55840, 51173, 55639, 51045, 53958, 51264, 53767, 51359, 51900, 51036, 54063, 51036, 53712, 50952, 58764, 50910, 52541, 52266, 53339, 51696, 52601, 51696, 51702, 51173, 53175, 51655, 53994, 51173, 65620, 72088, 52487, 50833, 52487, 50833, 65620, 50930, 50419, 54635, 54681, 52838, 50887, 54807, 51100, 59813, 51100, 50721, 50284, 50854, 58391, 50854, 53808, 50893, 51744, 50879, 52384, 51215, 57538, 50849, 65620, 50930, 50421, 52838, 65291, 55639, 53467, 52487, 50855, 52487, 50855, 65620, 50962, 50425, 52838, 50887, 54635, 52329, 52838, 50887, 53448, 51060, 55840, 51060, 58764, 50859, 53712, 50859, 51702, 51111, 53994, 51158, 65620, 58860, 55639, 75980, 52487, 58511, 52487, 50855, 65620, 65838, 52838, 50809, 54635, 62941, 52838, 50809, 55639, 50890, 65620, 56629, 54807, 51100, 59813, 51100, 50721, 50284, 50833, 58391, 50833, 53808, 50879, 51744, 50795, 52384, 51060, 57538, 67502, 52487, 50855, 52487, 60085, 54635, 50887, 65620, 56356, 52838, 50880, 52838, 60958, 55639, 50887, 65620, 57784, 52487, 53813, 52487, 50840, 52252, 51417, 52009, 51291, 53448, 50893, 55840, 50806, 54635, 50809, 58764, 50859, 53712, 50859, 51702, 51111, 53994, 51192, 65620, 50930, 50440, 52838, 50887, 52838, 50887, 55639, 54790, 65620, 67760, 52487, 50836, 52487, 50890, 54635, 59586, 65620, 57736, 52838, 50961, 52838, 50961, 54807, 50840, 59813, 50840, 55639, 50809, 50721, 50284, 50897, 58391, 50897, 53808, 50948, 51744, 50938, 52384, 51158, 57538, 50893, 50446, 52487, 50880, 52487, 50930, 54635, 50809, 65620, 51010, 50448, 52838, 50961, 52838, 50949, 55639, 50836, 65620, 79738, 54635, 55268, 52487, 50949, 54648, 51192, 55791, 51192, 53712, 50948, 53157, 50948, 51702, 51158, 53994, 51192, 65620, 72638, 52487, 50961, 55639, 50890, 50452, 52838, 50962, 52838, 62172, 52487, 50882, 54635, 50890, 65620, 78563, 52487, 50821, 55639, 75336, 52838, 50930, 52838, 50962, 65620, 57701, 54850, 51158, 57921, 51158, 54635, 50962, 58391, 50809, 54670, 50800, 53808, 50893, 51744, 50795, 52384, 50952, 57538, 51175, 50457, 52405, 50894, 52405, 50950, 65620, 71310, 55639, 58561, 52838, 50882, 50460, 52838, 50821, 53297, 51030, 65620, 74380, 52487, 50962, 55639, 50930, 50799, 52487, 50840, 51266, 50914, 51304, 50914, 51716, 51013, 53941, 50923, 56847, 50849, 54635, 51012, 52900, 51255, 52614, 51255, 51784, 51159, 52515, 50914, 63875, 50873, 54536, 50873, 52196, 50896, 51836, 50807, 52196, 51009, 51898, 51870, 51947, 51016, 52384, 51013, 52148, 51870, 55679, 51566, 55117, 51237, 50437, 53084, 61287, 53339, 51054, 52298, 51054, 50449, 52194, 64466, 51836, 51090, 51431, 51090, 50461, 52171, 51095, 53084, 51761, 77351, 50910, 51284, 50830, 51690, 50910, 51690, 50830, 51113, 51048, 51284, 51048, 52009, 50889, 53879, 51158, 53941, 51215, 58942, 51111, 56847, 51095, 52614, 51003, 53958, 51241, 51802, 50807, 52515, 50943, 57184, 50845, 53013, 50845, 55308, 51215, 52196, 51235, 53339, 51761, 52298, 51761, 52058, 51290, 51702, 51016, 54885, 51541, 55117, 51653, 50432, 51898, 51138, 50433, 52196, 50882, 52148, 55381, 52196, 51552, 51898, 51300, 52148, 51552, 50461, 52614, 50914, 52900, 50943, 52148, 51009, 64554, 50812, 51113, 50859, 51266, 50897, 51266, 50952, 51304, 50917, 51304, 50924, 51093, 51227, 51284, 51227, 51266, 51290, 51701, 51060 ]
[ 0, 250, 2635, 12, 20764, 15855, 2125, 4246, 3551, 139, 6, 21711, 102, 6, 24896, 6, 8, 6755, 12547, 6, 7630, 14805, 10, 1472, 9, 4149, 8, 9733, 4, 8504, 11, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 22848, 10, 33215, 16739, 9, 163, 119, 6, 274, 10431, 6, 8, 272, 401, 6, 442, 24, 41, 5631, 2564, 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 ]	[ 57528, 50456, 52130, 50845, 77630, 50845, 54817, 55392, 54358, 52826, 58873, 53478, 61593, 52826, 51088, 52826, 51357, 53478, 51266, 52826, 50420, 53020, 53172, 53020, 53387, 52142, 53264, 51951, 53999, 53058, 53562, 52130, 54771, 51967, 50892, 77630, 55041, 53058, 53770, 51951, 54100, 52142, 53913, 53020, 50915, 54302, 51490, 59558, 51080, 58873, 51244, 63312, 51244, 51491, 51080, 51357, 51244, 51395, 51244, 50456, 52130, 50845, 77630, 50905, 54817, 52151, 54358, 51445, 58873, 51445, 61593, 51449, 51088, 51445, 51357, 51445, 51266, 74818, 53020, 53770, 53020, 54100, 52142, 53913, 51951, 55200, 53058, 54058, 52130, 54771, 51967, 50892, 77630, 50845, 59878, 51108, 59558, 50932, 58873, 52222, 50693, 50322, 51097, 51491, 50932, 51357, 52222, 51600, 73318, 53058, 55035, 51951, 50901, 58083, 51466, 55724, 51097, 63312, 51097, 51426, 51097, 51395, 61271, 53258, 55306, 53020, 51003, 59878, 51283, 59558, 51318, 50693, 50322, 51283, 51491, 51318, 51600, 51283, 50456, 52780, 50808, 50799, 52780, 50849, 53485, 51313, 55851, 50845, 61276, 50915, 70369, 71534, 50892, 51182, 50981, 51304, 60115, 52142, 78868, 55769, 50974, 51113, 53770, 53020, 50849, 61593, 50974, 62724, 50974, 51266, 50892, 51284, 54100, 52780, 50849, 58873, 50974, 50693, 50322, 50974, 50693, 50327, 50974, 51357, 50905, 51600, 50905, 51558, 54137, 53258, 50901, 55851, 50974, 61276, 50974, 70369, 50974, 75491, 78041, 51304, 55103, 55034, 50849, 61593, 50974, 50693, 50327, 50974, 50693, 50332, 50974, 51266, 50905, 51558, 50905, 51733, 54323, 53020, 50849, 58873, 50974, 50693, 50322, 50974, 50693, 50327, 50974, 51357, 50892, 51600, 50892, 51558, 54771, 52142, 50812, 71802, 50849, 54302, 51047, 54358, 50905, 57440, 50905, 61276, 50905, 69435, 77473, 51182, 55126, 52130, 50849, 54850, 50905, 58873, 50905, 61593, 50905, 51301, 50905, 51357, 50905, 51266, 54335, 53058, 50849, 59558, 50905, 70774, 50905, 50693, 50322, 50905, 51491, 50905, 51488, 50905, 51600, 54342, 51951, 50849, 54358, 50905, 57440, 50905, 61276, 50905, 51088, 50974, 51107, 50974, 51182, 56298, 52142, 51124, 56824, 51097, 59558, 50995, 61593, 50995, 62724, 50995, 51491, 51097, 51266, 51097, 51284, 59124, 51951, 53586, 52142, 50812, 50799, 53020, 50914, 54302, 51314, 54850, 51159, 58873, 51162, 61276, 51124, 50693, 50327, 51162, 51301, 51159, 51357, 51162, 51182, 51124, 51558, 69706, 53020, 50854, 54850, 50812, 58873, 50812, 61276, 50812, 50693, 50327, 71132, 51357, 50812, 76537, 51558, 52749, 53020, 50810, 54850, 50849, 58873, 50849, 61276, 50849, 50693, 50327, 66110, 50849, 51357, 50849, 51182, 50849, 51558, 52841, 53020, 50943, 53304, 53055, 55323, 50914, 55769, 50914, 50693, 50322, 50914, 62724, 51124, 52065, 50914, 51113, 50914, 51600, 50914, 51284, 67081, 52142, 50849, 62724, 50849, 51284, 67070, 55323, 50849, 55769, 50849, 50693, 50322, 50849, 52065, 50849, 51113, 50849, 51600, 53702, 51951, 50901, 53941, 50849, 54358, 50849, 61593, 51124, 61276, 50849, 51883, 73239, 50849, 51266, 51124, 51182, 50849, 77630, 51790, 54388, 51592, 54807, 51145, 54850, 51047, 61593, 51189, 52830, 51148, 51301, 51127, 51266, 51218, 50415, 58873, 51103, 51357, 68076, 61276, 50812, 51182, 56274, 50693, 50322, 50812, 51600, 53627, 61593, 50849, 51266, 54233, 50693, 50327, 50812, 51558, 58935, 61276, 50833, 51182, 54207, 62724, 51218, 51284, 79961, 53058, 55874, 51951, 52955, 52142, 50812, 50799, 53020, 51124, 54302, 51145, 54850, 51221, 58873, 51221, 61276, 51221, 50693, 50327, 51221, 51301, 51203, 51357, 51203, 51182, 51203, 51558, 73969, 53258, 50805, 58873, 50833, 61276, 50833, 50693, 50327, 50833, 54850, 50833, 51357, 50810, 74597, 51558, 50810, 51301, 52658, 55034, 50805, 54850, 50833, 58873, 50833, 61276, 50833, 50693, 50327, 50833, 51301, 50810, 51357, 50810, 74597, 51558, 52729, 53020, 50889, 53304, 51244, 55323, 51221, 55769, 51221, 50693, 50322, 51221, 62724, 51221, 52065, 51203, 51113, 51203, 51600, 51203, 51284, 76015, 52142, 50849, 55323, 50849, 55769, 50849, 50693, 50322, 50849, 62724, 50849, 52065, 50845, 51113, 50845, 51600, 50845, 51284, 53586, 51951, 50901, 53941, 50849, 54358, 50849, 61593, 50849, 61276, 50849, 51883, 50845, 67298, 51266, 50845, 51182, 50845, 77630, 51003, 54388, 51592, 54807, 51662, 54850, 51486, 58873, 51486, 61593, 51486, 52830, 51939, 51301, 51422, 51357, 51422, 51266, 68988, 51967, 50812, 50693, 50327, 50812, 51558, 55730, 52130, 50812, 62724, 50812, 51284, 52658, 53058, 50812, 61276, 51103, 51182, 51047, 50435, 51951, 52841, 52142, 68862, 52249, 50849, 76140, 55099, 52780, 55035, 52780, 50873, 50692, 50333, 50893, 59624, 54454, 50693, 50324, 54454, 50693, 50333, 54454, 51375, 54454, 51629, 54454, 51690, 54454, 50432, 54113, 50845, 50692, 50331, 56529, 50692, 50329, 52599, 54236, 50873, 61642, 62079, 63482, 54746, 51951, 50849, 61275, 51798, 52249, 50849, 55253, 55345, 52994, 50845, 56078, 51238, 53448, 50845, 51887, 50845, 76140, 50845, 53011, 51310, 51299, 71215, 51951, 50805, 56078, 54588, 56078, 53049, 54236, 50805, 61275, 50858, 55403, 51645, 52316, 52460, 50429, 61642, 53911, 54113, 50805, 63482, 51196, 55403, 50838, 52316, 69783, 53011, 50827, 51299, 54793, 52780, 50889, 53155, 51627, 54296, 51627, 54358, 51080, 61276, 51080, 50693, 50332, 51080, 51699, 52263, 51638, 52263, 51088, 51447, 51182, 51447, 51733, 51447, 50456, 52780, 62533, 56623, 51255, 50799, 53155, 50943, 54648, 50943, 56991, 60413, 52780, 50854, 50692, 50333, 56346, 52780, 50901, 56595, 50805, 50692, 50336, 51054, 55403, 50943, 59624, 50943, 55851, 50943, 52316, 50914, 51375, 50914, 51093, 56217, 54113, 50901, 54231, 56529, 57715, 53415, 54236, 50805, 55264, 50845, 50692, 50333, 52512, 54296, 50943, 56991, 50943, 70774, 50943, 51638, 50914, 51165, 50914, 51488, 56157, 51951, 52596, 52249, 50805, 53554, 50806, 53011, 51124, 55851, 50914, 63312, 51124, 51299, 51124, 51093, 50914, 51395, 66704, 52994, 50805, 53159, 53848, 54917, 50854, 76140, 50845, 54971, 50991, 61642, 50879, 54648, 50849, 55851, 50849, 70369, 77364, 50849, 71545, 51304, 55099, 51951, 50901, 63482, 50800, 54850, 50808, 56991, 50808, 78637, 50808, 51301, 50812, 65477, 51394, 52710, 54236, 50808, 63482, 50849, 54850, 50849, 56991, 50849, 78637, 50849, 51301, 50849, 77951, 51394, 53308, 56929, 50873, 53554, 50805, 50692, 50333, 50879, 59624, 50873, 59885, 50873, 50693, 50333, 50873, 51375, 50849, 51201, 50849, 51690, 53470, 52780, 51241, 54231, 51218, 50692, 50331, 51235, 54850, 51417, 55851, 51218, 70369, 51218, 51301, 51413, 51093, 51189, 51304, 51189, 50447, 50692, 50329, 52741, 61642, 53312, 56212, 51100, 50799, 56212, 50849, 59624, 50943, 59885, 50943, 50693, 50329, 50943, 51375, 50943, 51201, 50943, 51905, 50943, 50421, 54113, 53466, 54648, 50943, 70774, 50943, 78637, 50943, 51154, 50943, 51488, 50943, 51394, 75725, 52780, 68233, 56212, 53470, 56078, 50879, 54358, 50943, 63312, 50943, 70369, 51241, 78580, 51395, 50943, 51304, 51241, 50439, 56929, 53969, 58083, 65756, 56623, 53562, 57153, 50991, 55724, 51221, 55851, 50943, 50693, 50324, 51221, 51426, 51221, 51093, 50943, 51629, 51221, 50451, 52780, 71248, 54113, 50845, 50799, 53011, 50873, 55851, 50873, 59885, 50873, 75191, 51093, 50873, 51201, 77921, 54236, 76882, 50692, 50329, 51835, 54296, 50873, 56991 ]
[ 0, 713, 17627, 17274, 3495, 3152, 2214, 6, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 22750, 1626, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 20, 3459, 8, 21979, 29589, 6, 13305, 6, 8, 3152, 6757, 1962, 1572, 7, 1045, 10, 11577, 2369, 6, 150, 5, 18558, 22, 46909, 29, 113, 1606, 10, 2842, 9, 12298, 9450, 6, 442, 24, 10686, 13, 2365, 50, 1619, 9629, 4, 20, 2125, 11498, 41, 20425, 12447, 1001, 20889, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50415, 50634, 50796, 57315, 53595, 50843, 50949, 57752, 52870, 50843, 52265, 52286, 50879, 50437, 53008, 55395, 51664, 50879, 51224, 50817, 53525, 52616, 51451, 57321, 55354, 50816, 53595, 51322, 79871, 55891, 51256, 53238, 51031, 52354, 50917, 51164, 51112, 50885, 51112, 73484, 74161, 51229, 51655, 51334, 51655, 51425, 50987, 51223, 50987, 53583, 52885, 56621, 66062, 51425, 50844, 51223, 50844, 58139, 51164, 50959, 60180, 58518, 56955, 51425, 50987, 51195, 66610, 55232, 69235, 51164, 50878, 67693, 50872, 60303, 50878, 51425, 50844, 51223, 50844, 51960, 53357, 50897, 51164, 51112, 50885, 51112, 73484, 74161, 51425, 50955, 51223, 50955, 59530, 63636, 51425, 50955, 51223, 50955, 59848, 72493, 58079, 58518, 56955, 51425, 50955, 51195, 66610, 55843, 50945, 74049, 51112, 71531, 70084, 74161, 51425, 50844, 51223, 50844, 51983, 50799, 51229, 51158, 51334, 51294, 51425, 50955, 51223, 50955, 58538, 50945, 74049, 50942, 50885, 65451, 50862, 56105, 51209, 51158, 51425, 50955, 51223, 50955, 61236, 51164, 50955, 62783, 60942, 59027, 51256, 50952, 51425, 50955, 51195, 63250, 55232, 69235, 51164, 50925, 74232, 57896, 66552, 51256, 51896, 51334, 51896, 51425, 50844, 51223, 50844, 52105, 53357, 50917, 51164, 51112, 71531, 70084, 74161, 51425, 50955, 51223, 50955, 59530, 63636, 51425, 50955, 51223, 50955, 51320, 53068, 50927, 74049, 51112, 50885, 50967, 70084, 74161, 51425, 50844, 51195, 66610, 55843, 69161, 51425, 50844, 51223, 50844, 52105, 53596, 50917, 51037, 51112, 67288, 70084, 50939, 50991, 51209, 51013, 51408, 51013, 52447, 50955, 51425, 50955, 53583, 52302, 51096, 50897, 52447, 50844, 51425, 50955, 58139, 51037, 50959, 55315, 58518, 50939, 50959, 51256, 51215, 51408, 51215, 52447, 50844, 51368, 63250, 55232, 51096, 50897, 51037, 50942, 63245, 56684, 72744, 52447, 50844, 51425, 50844, 69837, 51096, 50897, 51037, 50991, 50848, 51112, 73484, 50939, 51112, 52447, 50844, 51425, 50955, 59530, 69240, 51256, 51013, 51408, 51013, 52447, 50844, 51425, 50955, 59848, 51037, 50955, 55688, 56992, 66249, 51451, 51158, 52447, 50844, 51368, 63250, 55843, 51096, 69964, 50991, 50848, 51112, 70084, 50939, 51112, 52000, 51364, 52447, 50844, 51425, 50844, 51983, 50799, 52447, 50844, 51425, 50955, 58538, 51096, 51100, 51037, 59529, 50854, 50872, 50862, 60799, 52447, 50844, 51425, 50844, 61236, 51037, 50987, 57767, 61395, 74798, 52447, 50844, 51368, 63250, 55232, 51096, 50917, 51037, 50925, 61995, 62038, 70848, 52447, 50857, 51425, 50844, 52105, 53758, 50897, 51037, 51112, 50848, 51112, 73484, 50939, 51112, 52447, 50955, 51425, 50955, 59530, 66482, 51334, 50952, 51893, 50952, 52447, 50844, 51425, 53948, 50898, 53068, 51105, 50917, 51037, 50967, 50848, 50967, 78871, 50939, 50967, 51334, 50952, 51893, 50952, 52447, 50844, 51368, 66610, 55843, 73491, 51334, 50859, 51893, 50952, 52447, 50844, 51425, 55475, 50837, 52354, 50917, 51164, 51112, 50885, 51112, 73484, 74161, 51390, 51013, 51893, 51073, 51425, 50955, 51223, 50955, 53583, 52885, 56621, 63636, 51425, 50955, 51223, 50955, 58139, 51164, 50844, 50885, 51233, 56992, 55853, 51334, 51158, 51893, 50879, 51425, 50955, 51195, 63250, 55232, 50945, 74049, 50942, 50872, 58434, 50942, 51425, 50844, 51223, 50844, 69837, 51186, 69964, 50865, 61325, 68651, 50939, 50830, 51229, 51158, 51334, 50879, 51436, 50955, 51262, 50955, 59530, 51186, 50917, 51037, 51377, 74434, 50872, 51221, 50939, 51221, 51209, 50879, 51436, 50955, 51262, 50955, 59848, 51256, 50924, 51334, 50924, 51436, 50955, 51250, 66610, 55843, 51186, 69964, 50977, 67102, 62039, 72744, 51256, 51294, 51334, 51294, 51436, 50844, 77394, 51983, 52354, 50917, 51164, 50830, 61781, 50872, 61709, 50830, 51425, 50955, 51223, 50955, 58538, 63636, 51164, 51221, 50885, 51178, 50872, 51221, 70685, 51425, 50844, 51223, 50844, 61236, 51209, 51215, 51334, 51158, 51425, 50955, 51195, 66610, 55232, 50945, 74049, 50977, 65998, 56684, 58752, 51425, 50857, 51223, 50857, 52105, 56107, 51424, 50292, 50830, 50988, 50830, 50885, 65102, 50830, 60001, 69196, 51209, 50924, 51334, 50952, 51915, 50955, 51368, 50955, 59530, 50964, 51424, 50292, 51400, 50988, 51400, 50885, 51400, 50868, 51400, 50847, 51400, 50909, 51400, 51334, 50952, 51915, 50955, 51368, 50955, 52105, 60309, 53068, 52457, 50795, 51322, 50952, 51334, 50952, 51915, 50955, 51265, 63250, 55843, 51831, 68152, 50917, 51332, 50897, 50988, 50897, 50885, 50897, 69230, 65940, 63456, 51256, 56300, 51334, 56300, 51915, 50955, 51368, 55475, 50837, 75799, 63847, 74049, 51112, 50885, 51112, 73484, 74161, 51425, 50987, 51223, 50987, 53583, 52302, 66062, 51425, 50844, 51223, 50844, 58139, 51667, 50983, 51164, 50959, 60180, 58518, 56955, 51425, 50987, 51195, 50987, 56319, 52265, 63636, 51164, 50878, 67693, 50872, 60303, 50878, 51425, 50955, 51223, 50955, 51960, 53357, 50917, 51164, 51112, 50885, 51112, 73484, 74161, 51425, 50955, 51223, 50955, 59530, 51667, 58536, 50917, 51425, 50955, 51223, 50955, 59848, 51667, 59746, 50822, 58079, 58518, 56955, 51425, 50955, 51195, 50987, 56319, 52193, 51667, 63847, 74049, 51112, 71531, 70084, 74161, 51425, 50844, 51223, 53948, 51179, 50891, 50799, 51425, 50955, 51223, 50955, 58538, 51652, 58536, 74049, 50942, 50885, 65451, 50862, 56105, 51425, 50955, 51223, 50955, 58139, 51831, 59746, 50955, 62783, 60942, 59027, 51425, 50955, 51195, 50955, 56319, 52265, 51831, 50983, 69235, 51164, 50925, 74232, 57896, 66552, 51425, 50844, 51223, 50844, 51960, 53357, 50917, 51164, 51112, 71531, 70084, 74161, 51425, 50955, 51223, 50955, 59530, 63636, 51425, 50955, 51223, 50955, 52105, 57703, 50917, 51164, 51112, 50885, 50967, 70084, 74161, 51425, 50987, 51195, 50987, 56319, 52193, 69161, 51425, 50844, 51223, 50844, 51983, 50799, 52457, 50807, 51096, 50917, 51037, 51112, 67288, 70084, 50939, 50991, 52447, 50955, 51425, 50955, 58538, 51096, 50897, 52447, 50844, 51425, 50955, 58139, 51831, 65333, 50959, 55315, 58518, 50939, 50959, 52447, 50844, 51368, 50955, 56319, 52265, 51096, 50897, 51037, 50942, 63245, 56684, 72744, 52447, 50844, 51425, 50844, 69837, 51831, 50807, 51096, 50897, 51037, 50991, 50848, 51112, 73484, 50939, 51112, 52447, 50844, 51425, 50955, 59530, 69240, 52447, 50844, 51425, 50955, 59848, 51831, 56592, 50955, 55688, 56992, 66249, 52447, 50844, 51368, 50955, 56319, 52193, 52832, 50800, 51096, 69964, 50991, 50848, 51112, 70084, 50939, 51112, 52447, 50844, 51425, 50844, 51983, 50459, 54641, 51091, 50799, 52447, 50844, 51425, 50955, 58538, 51096, 51100, 51037, 59529, 50854, 50872, 50862, 60799, 52447, 50844, 51425, 50844, 58139, 51037, 50987, 57767, 61395, 74798, 52447, 50844, 51368, 50955, 56319, 52265, 51096, 50917, 51037, 50925, 61995, 62038, 70848, 52447, 50857, 51425, 50844, 51960, 53758, 50897, 51037, 51112, 50848, 51112, 73484, 50939, 51112, 52447, 50955, 51425, 50955, 59530, 66482, 52447, 50844, 51425, 53948, 50898, 53068, 51721, 50807, 51783, 50889, 51722, 50889, 51612, 50889, 51105, 50917, 51037, 50967, 50848, 50967, 78871, 50939, 50967, 52447, 50844, 51368, 50987, 56319, 52193, 73491, 52447, 50844, 51425, 50844, 51983, 75799, 50918, 51783, 51077, 51584, 51077, 51567, 51077, 63636, 51164, 51112, 50885, 51112, 73484, 74161, 51425, 50857, 51223, 53948, 51392, 52302, 63636, 51425, 50955, 51223, 50955, 58139 ]
[ 0, 713, 5175, 2214, 1575, 10, 11739, 9, 38668, 20535, 6, 20535, 2810, 6, 20535, 483, 6, 2236, 1021, 2678, 29, 6, 8, 3459, 9590, 6, 2351, 10, 15352, 30054, 8, 3366, 219, 5466, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 19446, 13410, 228, 2289, 4, 20, 15229, 25935, 1626, 227, 5, 40286, 83, 8, 272, 401, 6, 8216, 7, 63, 2216, 2369, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52288, 51109, 53367, 50873, 53955, 50805, 52197, 51328, 52924, 50817, 51195, 51210, 50418, 52622, 50422, 59542, 50904, 54962, 50941, 53367, 50904, 53367, 50813, 53955, 50886, 53955, 51559, 50835, 51195, 56295, 52197, 52762, 50927, 55067, 51130, 57834, 52622, 51195, 62692, 59542, 50864, 54962, 50904, 53367, 50886, 53955, 50867, 72830, 51205, 51312, 52197, 50978, 53367, 50849, 53955, 50849, 52924, 60178, 51931, 50446, 59542, 50864, 54962, 50864, 53367, 50886, 53367, 50862, 53955, 50857, 53955, 50855, 67846, 52197, 53057, 51205, 58379, 51392, 56721, 51265, 71105, 51471, 51545, 59972, 53367, 50829, 53955, 50825, 52464, 50837, 59585, 50886, 54962, 50864, 53367, 50886, 51970, 51195, 54529, 52197, 50863, 52534, 51576, 53331, 50874, 52197, 50974, 53367, 51277, 52464, 51100, 52924, 58410, 51223, 68349, 51468, 50422, 59585, 50886, 54962, 50864, 53367, 50886, 52464, 50886, 52464, 50813, 52197, 50886, 53367, 50844, 51983, 51223, 54654, 50964, 59975, 51392, 57834, 52008, 51223, 62692, 59585, 50864, 54962, 50886, 53367, 50857, 52464, 50864, 57974, 51069, 51174, 52924, 57512, 52464, 50937, 52197, 51058, 53367, 50873, 50442, 51205, 50844, 52008, 50446, 79072, 59585, 50864, 54962, 50864, 53367, 50857, 53367, 50862, 52464, 50857, 72556, 52464, 50836, 52197, 54086, 50927, 53832, 51392, 57916, 51205, 56558, 64360, 51265, 51051, 50457, 50927, 51191, 50458, 53367, 50837, 52197, 50837, 59542, 50857, 54962, 50867, 53367, 50857, 53955, 50857, 52464, 56768, 50949, 51545, 50904, 50799, 53367, 50845, 53955, 50873, 52197, 50845, 52924, 50817, 51195, 68349, 52622, 51195, 62488, 59542, 50904, 54962, 50941, 53367, 50904, 53367, 50862, 53955, 50886, 53955, 50862, 51956, 51545, 56237, 52197, 53901, 50927, 50915, 55737, 50817, 51195, 77285, 52622, 50434, 59542, 50864, 54962, 50904, 53367, 50886, 53955, 50867, 51970, 51195, 54728, 51205, 51025, 52924, 57512, 52197, 50987, 53367, 50901, 53955, 50901, 50442, 51931, 50446, 59542, 50864, 54962, 50864, 53367, 50886, 53955, 50857, 53367, 50854, 67846, 53955, 50862, 52197, 52800, 51205, 56744, 51392, 56721, 51265, 71105, 51471, 51545, 59972, 53955, 50834, 52464, 50837, 52197, 50825, 59585, 50886, 54962, 50864, 53367, 50886, 53367, 50857, 51970, 51195, 50851, 52534, 51775, 53367, 50978, 52464, 50938, 52197, 50905, 52924, 50949, 51223, 50851, 50418, 51468, 50422, 52464, 50828, 59585, 50886, 54962, 50864, 53367, 50886, 53367, 50813, 52464, 50886, 52197, 50857, 74199, 51223, 51000, 51302, 51392, 56973, 50964, 51056, 50430, 52008, 50431, 51223, 65627, 59585, 50864, 54962, 50886, 53367, 50857, 52464, 50864, 57974, 51069, 50977, 52464, 50849, 52924, 57512, 53367, 50977, 52197, 50905, 50442, 51205, 50854, 52008, 50445, 50927, 59137, 59585, 50864, 54962, 50864, 53367, 50857, 52464, 50857, 52525, 51331, 54284, 52464, 50839, 53367, 50813, 52197, 50867, 55683, 50976, 57703, 54566, 51392, 56721, 51265, 68243, 51205, 50810, 52086, 52319, 50908, 51545, 62356, 52517, 51388, 50457, 50927, 51362, 50458, 53367, 50829, 52464, 50820, 59542, 50857, 54962, 50867, 53367, 50857, 53955, 50857, 52197, 56669, 50949, 51195, 50851, 50799, 53955, 50849, 52197, 50845, 53367, 51242, 52924, 55534, 52642, 51014, 52456, 60845, 52708, 50807, 50418, 52622, 51195, 68353, 53773, 50993, 50422, 59542, 50904, 54962, 50941, 53367, 50904, 53367, 50867, 53955, 50886, 53955, 50862, 72274, 52197, 52524, 50927, 50995, 55737, 50817, 51195, 51142, 50430, 52622, 50434, 59542, 50864, 54962, 50904, 53367, 50886, 53955, 50867, 51970, 51195, 55666, 51205, 51162, 53367, 51121, 52924, 57512, 53955, 50873, 52197, 50892, 50442, 51931, 50446, 59542, 50864, 54962, 50864, 53367, 50886, 53955, 50857, 67846, 53367, 50857, 53955, 50813, 52197, 52800, 51205, 56744, 51392, 56721, 51265, 51365, 50454, 51471, 51545, 77379, 51195, 65241, 52464, 50837, 52197, 50837, 59585, 50886, 54962, 50864, 53367, 50886, 53367, 50867, 53955, 50867, 51970, 50461, 51223, 50874, 52534, 51253, 53367, 50905, 52464, 50805, 52197, 50974, 52924, 72746, 51468, 50422, 59585, 50886, 54962, 50864, 53367, 50886, 53367, 50813, 52464, 50886, 52197, 50867, 51983, 51223, 56295, 52464, 52870, 50964, 57604, 51392, 57834, 52008, 51223, 56516, 59585, 50864, 54962, 50886, 53367, 50857, 52464, 50864, 51468, 63082, 57512, 51069, 51008, 53367, 50937, 52464, 50937, 52197, 50905, 50442, 51205, 51373, 63157, 50927, 62813, 59585, 50864, 54962, 50864, 53367, 50857, 52464, 50857, 52642, 51739, 54284, 52464, 50828, 53367, 50813, 52197, 50867, 52456, 60972, 53773, 50806, 50449, 52708, 52175, 50927, 53832, 51392, 57916, 51205, 54791, 64360, 52642, 50911, 52456, 50805, 51265, 51051, 50457, 50927, 51362, 50458, 53367, 50835, 52464, 50820, 52197, 50825, 59542, 50857, 54962, 50867, 53367, 50857, 53955, 56768, 50949, 51545, 50851, 50799, 53367, 50892, 53955, 50805, 52197, 50892, 52924, 50817, 51195, 70623, 52517, 51054, 52086, 73354, 52622, 51195, 65173, 59542, 50904, 54962, 50941, 53367, 50904, 53955, 50886, 53955, 50857, 52197, 50886, 53367, 51589, 52712, 50927, 50943, 55737, 50817, 51195, 64755, 52622, 50434, 59542, 50864, 54962, 50904, 53367, 50886, 53955, 50867, 51970, 51195, 65219, 53955, 51212, 52197, 51328, 50438, 51205, 51377, 53367, 50892, 52924, 60178, 51931, 50446, 59542, 50864, 54962, 50864, 53367, 50886, 53367, 50867, 53955, 50857, 53955, 50857, 52197, 50886, 59207, 51205, 55067, 51392, 56721, 51265, 51142, 50454, 51471, 51545, 64126, 51195, 72740, 52464, 50837, 59585, 50886, 54962, 50864, 53367, 50886, 71793, 53367, 50835, 53955, 50837, 52197, 50863, 52534, 51025, 53367, 50905, 52197, 50974, 52924, 50949, 51223, 73821, 52464, 50849, 50418, 51468, 50422, 59585, 50886, 54962, 50864, 53367, 50886, 53367, 50857, 52464, 50886, 52197, 50886, 51983, 51223, 54252, 52464, 52992, 50964, 55067, 51392, 57834, 52008, 51223, 63520, 59585, 50864, 54962, 50886, 53367, 50857, 52464, 50864, 57974, 51069, 50987, 52464, 50873, 52924, 57512, 53857, 50813, 53367, 50866, 52197, 50892, 50442, 51205, 50844, 52008, 50445, 50927, 57993, 59585, 50864, 54962, 50864, 53367, 50886, 53367, 50857, 52464, 50857, 52464, 50813, 52197, 50886, 51842, 57703, 54566, 51392, 50817, 51265, 51210, 50454, 51205, 55190, 50908, 51545, 63652, 50927, 51091, 50458, 59542, 50857, 54962, 50867, 53367, 50857, 53955, 56768, 50949, 51195, 56054, 53367, 50835, 52464, 50834, 52197, 50837, 63733, 55534, 53367, 50845, 53955, 50805, 52197, 50901, 50418, 52622, 51195, 59993, 59542, 50904, 54962, 50941, 53367, 50904, 53955, 50886, 53955, 50857, 54239, 51421, 53868, 53367, 50857, 52197, 50857, 51545, 52580, 50927, 50915, 54239, 53661, 51130, 56973, 51195, 73418, 54340, 50878, 52622, 50434, 59542, 50864, 54962, 50904, 53367, 50886, 53955, 50867, 53138, 51421, 50863, 51195, 54728, 51205, 51400, 53955, 50917, 52924, 57512, 53367, 50977, 52197, 50866, 53138, 50833, 50440, 54175, 51160, 50442, 51931, 50446, 59542, 50864, 54962, 50864, 53367, 50886, 53367, 50857, 53955, 50857, 53955, 50813, 52197, 50867, 59207, 51205, 55067, 51392, 56721, 53138, 50849, 51265, 51210, 50454, 51471, 51545, 66460, 52464, 50837, 59585, 50886, 54962, 50864, 53367, 50886, 54175, 51739, 50863, 51195, 58247, 53367, 50834, 53955, 50829, 52197, 50825, 52534, 51484, 53367, 50978, 52464, 50917, 52197, 50974, 52924, 50949 ]
[ 0, 250, 33928, 8, 11653, 15855, 19834, 1969, 13, 5, 1619, 191, 6, 4246, 10, 20902, 12547, 9, 11006, 4122, 12, 1054, 330, 13305, 6, 2020, 3548, 6, 856, 17993, 6, 21979, 9590, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 6, 42, 765, 2214, 22848, 10, 16331, 33215, 16739, 9, 211, 6, 272, 6, 83, 406, 6, 211, 6, 8, 272, 6, 2351, 10, 32076, 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 ]	[ 57739, 53587, 50821, 52269, 52997, 56092, 53081, 50821, 52449, 52997, 53336, 53546, 50806, 52822, 50806, 53559, 76313, 69831, 53939, 53208, 50806, 53022, 50806, 52239, 50806, 53139, 52420, 54053, 53208, 50806, 53022, 50806, 52239, 50806, 53139, 52420, 54459, 54269, 50806, 53022, 50806, 52239, 50806, 53652, 52420, 54989, 53208, 50806, 52822, 50806, 53139, 76313, 69831, 54411, 53546, 50806, 53022, 50806, 52239, 50806, 53559, 52420, 54647, 53587, 51160, 53022, 50806, 52239, 50806, 52269, 69921, 50880, 51057, 53022, 50806, 52239, 52420, 59630, 53081, 50821, 52449, 53113, 53546, 50806, 53856, 50806, 53559, 80224, 69831, 53939, 53546, 50806, 52822, 50806, 52706, 50806, 53381, 50806, 53559, 52420, 54053, 53081, 50806, 52822, 50806, 52706, 50806, 53381, 50806, 52449, 52420, 50880, 51057, 53587, 50806, 52822, 50806, 52706, 50806, 53381, 50806, 52269, 52420, 54658, 53081, 51274, 55479, 50806, 52449, 51274, 51098, 65907, 53939, 55741, 50806, 52706, 50806, 52239, 52420, 54053, 55741, 50806, 52706, 50806, 52239, 52090, 50880, 51057, 55540, 50821, 52269, 50821, 55402, 52997, 56092, 55725, 50821, 52449, 50821, 56184, 52997, 53336, 60312, 50806, 52822, 50806, 53559, 50806, 59940, 76313, 69831, 53939, 68380, 50806, 53022, 50806, 52239, 50806, 53139, 50806, 61370, 52420, 54053, 68380, 50806, 53022, 50806, 52239, 50806, 53139, 50806, 61370, 52420, 50880, 51057, 50761, 50336, 50806, 53022, 50806, 52239, 50806, 55439, 50806, 65096, 52420, 54658, 50761, 50337, 51160, 54802, 50806, 53652, 51160, 71960, 51160, 51868, 69831, 53939, 53022, 50806, 52239, 50806, 52248, 52420, 57850, 68380, 50821, 53139, 50821, 61370, 52686, 67283, 50806, 53022, 50806, 52239, 50806, 52248, 50806, 52889, 50806, 61607, 52420, 50880, 51057, 60312, 50806, 53022, 50806, 52239, 50806, 52248, 50806, 53559, 50806, 59940, 52420, 54658, 55725, 50806, 52449, 50806, 56184, 50806, 52706, 50896, 53381, 50896, 52248, 50896, 51389, 54214, 53939, 54269, 50806, 53652, 52420, 54053, 55540, 50821, 55402, 50821, 55479, 50806, 52706, 50806, 52495, 64332, 55113, 56486, 56268, 50821, 56590, 50821, 51057, 54269, 50821, 53652, 50821, 55479, 50806, 52706, 50806, 52495, 52420, 56092, 56268, 50821, 56590, 52997, 53336, 55540, 50896, 52822, 50896, 53022, 50896, 55402, 50896, 51150, 50896, 71222, 65209, 52686, 51643, 52997, 55135, 51633, 52997, 50883, 51057, 52113, 50806, 51891, 50806, 53022, 50806, 52269, 50806, 56163, 50896, 52822, 50896, 51461, 54214, 54658, 52372, 60498, 50806, 52239, 52420, 53939, 52372, 50806, 52181, 50806, 51891, 50806, 53022, 50806, 52269, 52420, 54053, 53128, 60498, 50806, 52239, 52420, 50880, 51057, 52372, 50806, 52181, 50806, 51891, 50806, 53022, 50806, 52269, 50806, 56163, 50896, 52822, 50896, 51461, 54214, 54658, 52113, 60498, 50806, 52239, 52420, 53939, 51643, 51160, 52181, 50806, 51891, 50806, 53022, 50806, 52269, 52420, 54053, 51707, 50806, 52239, 52420, 56486, 51633, 50821, 51057, 52113, 50806, 52181, 50806, 51891, 50806, 53022, 50806, 52269, 50806, 56163, 50896, 52822, 50896, 51461, 54214, 54658, 52113, 60498, 50806, 52239, 52420, 53939, 51633, 60843, 50806, 51891, 50806, 52706, 50806, 52269, 50806, 60009, 50896, 53856, 50896, 52419, 54214, 54053, 51643, 50806, 53154, 50806, 53381, 52420, 50880, 51057, 51633, 51274, 60513, 50896, 55479, 50896, 51098, 50896, 51728, 52526, 54658, 52162, 60498, 73297, 50806, 52706, 50806, 52239, 50806, 53388, 52420, 53939, 52162, 60498, 73297, 50806, 52706, 50806, 52239, 50806, 53388, 52090, 54053, 51643, 50821, 52380, 52997, 55135, 51633, 50821, 52833, 52997, 50883, 51057, 52113, 50806, 53625, 50806, 52181, 60498, 50806, 53022, 50806, 52239, 50806, 56163, 50896, 52822, 50896, 51461, 54214, 54658, 52372, 50806, 53610, 50806, 51891, 50806, 52269, 52420, 53939, 52372, 51160, 53610, 51160, 52131, 50806, 51997, 50806, 52495, 50806, 52248, 52420, 54053, 51891, 50806, 52269, 52420, 56486, 53128, 50821, 55499, 50821, 51057, 52372, 50806, 53610, 50806, 52181, 60498, 50806, 53022, 50806, 52239, 50806, 56163, 50896, 52822, 50896, 51461, 54214, 54658, 52113, 50806, 53625, 50806, 51891, 50806, 52269, 52420, 53939, 51643, 51160, 52380, 51160, 52344, 50806, 51997, 50806, 52822, 50806, 52248, 50806, 61946, 50896, 55497, 50896, 51140, 54214, 54053, 51891, 50806, 52269, 52420, 56486, 51633, 50821, 52833, 50821, 51057, 52113, 50806, 53625, 50806, 52181, 60498, 50806, 53022, 50806, 52239, 50806, 60513, 50896, 55479, 50896, 51098, 54214, 54658, 52113, 50806, 53625, 50806, 51891, 50806, 52269, 52420, 53939, 51633, 50806, 52833, 65956, 50806, 52706, 50806, 52239, 50806, 60513, 50896, 55479, 50896, 51098, 54214, 54053, 51633, 50806, 52833, 73297, 50806, 53388, 52420, 50880, 51057, 51643, 51274, 52380, 51274, 56163, 50896, 52822, 50896, 51150, 50896, 51728, 52526, 54658, 52181, 60498, 50806, 51891, 50806, 53022, 50806, 52239, 50806, 52269, 52420, 53939, 52181, 60498, 50806, 51891, 50806, 53022, 50806, 52239, 50806, 52269, 52090, 54053, 53587, 50821, 51643, 52997, 55135, 53081, 50821, 51633, 52997, 50883, 51057, 53546, 50806, 52113, 50806, 52181, 50821, 53022, 50821, 56163, 50896, 52822, 50896, 51461, 54214, 59630, 51707, 50821, 52239, 53113, 53208, 50806, 52372, 50806, 51891, 50821, 52269, 52997, 56299, 51707, 50821, 52239, 52422, 53208, 50806, 52372, 50806, 52181, 50821, 53022, 52997, 57850, 51891, 50821, 52269, 52686, 54269, 50806, 53128, 50806, 52131, 50821, 51997, 50821, 52495, 50821, 52248, 52997, 56486, 51891, 50821, 52269, 50821, 51057, 53208, 50806, 52372, 50806, 52181, 50821, 53022, 50821, 56163, 50896, 52822, 50896, 51461, 54214, 59630, 51707, 50821, 52239, 53113, 53546, 50806, 52113, 50806, 51891, 50821, 52269, 52997, 56299, 51707, 50821, 52239, 52422, 53587, 51160, 51643, 51160, 52181, 50821, 53022, 52997, 57850, 51707, 50821, 52239, 52686, 51891, 50821, 52269, 52997, 56486, 53081, 50821, 51633, 50821, 51707, 50821, 52239, 50821, 51057, 53546, 50806, 52113, 50806, 52181, 50821, 53022, 50821, 56163, 50896, 52822, 50896, 51461, 54214, 59630, 51707, 50821, 52239, 53113, 53546, 50806, 52113, 50806, 51891, 50821, 52269, 52997, 56299, 51707, 50821, 52239, 52422, 53081, 50806, 51633, 60843, 50821, 52706, 50821, 56163, 50896, 53856, 50896, 51273, 54214, 57850, 53154, 50821, 53381, 52686, 53587, 50806, 51643, 50806, 51891, 50821, 52269, 52997, 56486, 53154, 50821, 53381, 50821, 51057, 53081, 51274, 51633, 51274, 52162, 50821, 52706, 50821, 60513, 50896, 55479, 50896, 51098, 50896, 51728, 52526, 59630, 51707, 50821, 52554, 50821, 52239, 50821, 53388, 53113, 52554, 50821, 52146, 50821, 53388, 50821, 52449, 52997, 56299, 51997, 50821, 51891, 50821, 52248, 50821, 52269, 52422, 51707, 50821, 52554, 50821, 52239, 50821, 53388, 52589, 57850, 52131, 50821, 51997, 50821, 52495, 50821, 52248, 52686, 51643, 50821, 56187, 50821, 52181, 50821, 51707, 50821, 53022, 50821, 52239, 52997, 55135, 51633, 50821, 56167, 50821, 52162, 50821, 52131, 50821, 52706, 50821, 52495, 52997, 50883, 51057, 52113, 50806, 58166, 50806, 52181, 50821, 53022, 50821, 56163, 50896, 52822, 50896, 51150, 54214, 59630, 51707, 50821, 52239, 53113, 52372, 50806, 55291, 50806, 51891, 50821, 52269, 52997, 56299, 51707, 50821, 52239, 52422, 52372, 50806, 55291, 50806, 52181, 50821, 53022, 52997, 57850, 51891 ]
[ 0, 713, 15352, 30054, 5175, 2214, 6, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 3136, 23, 41, 178, 5285, 20889, 4, 20, 3459, 8669, 6, 13602, 6757, 6, 21072, 6, 38668, 483, 6, 8, 36075, 8669, 11739, 561, 7, 1045, 10, 19448, 648, 20425, 5466, 4, 13231, 5, 2125, 6, 5, 40286, 230, 8, 272, 7230, 5705, 6, 10584, 10, 1472, 9, 30234, 8, 31657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 70513, 56683, 51451, 51022, 51366, 50978, 51209, 50977, 53046, 52829, 62059, 50911, 53808, 50911, 50416, 58899, 52121, 54676, 51400, 53205, 51124, 55561, 51101, 50419, 57302, 51286, 52334, 51286, 50420, 69671, 77618, 50851, 51451, 50959, 50421, 57457, 51204, 50425, 55561, 50866, 56825, 50800, 52039, 61408, 60710, 52699, 50800, 51133, 51362, 77627, 56606, 50823, 51366, 50907, 51209, 50822, 51451, 52835, 50432, 66871, 51475, 69369, 50851, 51451, 50942, 53205, 51290, 55561, 51413, 55045, 51054, 56591, 50884, 51431, 51054, 51485, 50884, 75282, 53187, 56683, 51451, 52167, 57457, 50974, 50439, 51366, 50878, 51209, 58937, 69671, 77618, 50851, 51451, 51008, 54676, 51345, 53205, 51048, 56591, 50911, 51485, 75819, 51133, 51138, 51382, 60710, 52699, 50800, 51451, 54060, 51366, 50937, 51209, 50910, 51271, 50923, 57457, 50805, 55045, 51012, 51431, 51012, 57688, 54178, 50801, 50844, 80106, 50851, 51451, 51162, 51817, 50921, 55561, 50795, 51755, 51049, 53187, 56683, 52286, 52222, 51720, 51407, 57533, 51991, 55561, 51576, 53952, 51013, 53256, 50807, 57302, 51505, 52334, 51505, 50415, 51664, 53142, 51229, 50878, 51256, 55085, 69671, 77618, 50851, 59410, 50918, 56825, 51388, 52039, 51388, 50421, 51451, 50959, 50425, 55846, 50859, 51898, 50859, 51302, 51907, 52516, 51475, 52699, 50800, 51451, 51269, 64150, 51229, 50937, 55561, 50933, 53782, 50822, 80106, 50851, 51451, 50810, 53256, 51157, 55561, 51417, 55045, 50824, 51431, 50824, 75282, 53187, 56683, 51256, 50878, 51229, 50854, 51451, 68937, 53256, 53892, 53952, 51095, 56591, 51158, 51485, 73374, 69671, 77618, 50851, 51451, 50810, 51720, 50938, 50449, 55045, 51388, 51431, 51388, 51382, 60710, 52699, 51907, 50823, 51256, 50942, 51451, 51851, 51229, 50862, 51817, 51111, 59410, 61327, 50801, 50844, 80106, 50851, 51451, 50830, 51271, 50937, 55561, 71704, 51206, 52311, 58091, 50911, 51744, 50911, 51755, 51049, 53187, 56683, 51830, 53010, 52733, 52121, 51366, 50833, 51451, 50857, 51133, 51933, 58899, 50967, 54676, 50859, 53205, 50858, 55561, 56025, 51209, 59182, 51209, 51175, 51366, 51238, 50420, 69671, 77618, 50851, 51451, 51043, 54676, 51175, 53205, 51167, 55561, 51175, 51683, 50949, 51776, 50949, 51888, 50949, 58091, 51352, 51744, 51352, 53283, 52801, 51776, 50962, 51888, 50962, 51683, 50880, 53354, 80048, 53929, 51388, 51302, 51907, 52516, 51475, 52699, 50800, 51830, 52720, 58899, 52140, 51888, 51045, 51776, 51014, 51683, 51033, 50431, 51451, 58672, 66871, 51475, 69369, 50851, 51776, 50949, 51683, 50961, 51888, 50883, 53354, 65174, 55561, 51477, 50435, 51683, 51021, 51888, 51138, 51776, 51138, 50437, 53929, 50820, 75282, 53187, 56683, 51451, 52101, 51366, 51008, 51209, 50878, 53354, 56484, 53929, 50962, 50442, 51683, 50961, 51888, 50961, 51776, 50949, 53354, 50839, 53929, 57736, 69671, 77618, 50851, 51451, 50854, 54676, 51095, 53354, 58500, 51683, 50894, 51888, 50950, 51776, 50803, 53929, 56312, 53354, 66119, 53929, 50880, 51382, 52279, 60710, 52699, 50800, 51366, 50822, 51209, 50854, 57457, 51233, 51683, 51066, 51888, 50993, 51776, 50993, 53354, 60376, 53929, 54139, 53354, 56210, 50801, 50844, 80106, 50851, 51451, 50810, 61967, 55561, 78970, 53283, 51300, 51755, 51049, 53187, 56683, 51366, 50844, 51209, 50812, 51451, 52134, 51133, 53241, 58899, 52069, 55561, 51377, 53205, 50896, 57302, 50923, 52334, 50923, 68151, 51388, 50419, 57457, 51141, 56825, 51192, 52039, 51192, 60507, 51388, 50420, 69671, 77618, 50851, 51451, 66659, 55561, 50866, 55846, 50917, 51898, 50917, 60531, 50858, 51302, 60710, 52699, 50800, 51366, 50810, 51209, 50862, 51451, 51129, 57773, 51010, 53782, 50822, 80106, 50851, 51451, 50854, 55561, 51346, 53205, 51235, 56482, 50839, 55846, 50820, 55045, 51346, 51723, 50839, 51898, 50820, 51431, 51346, 64679, 51072, 75282, 53187, 56683, 51366, 50854, 51209, 50812, 51451, 51128, 57457, 53024, 50442, 67932, 50923, 54141, 54390, 50812, 54659, 77618, 50851, 51451, 50878, 55561, 51194, 54676, 51290, 56591, 51012, 51485, 51012, 50449, 55045, 50821, 51431, 50821, 64679, 51014, 51382, 51907, 67705, 52699, 50800, 51366, 50822, 51209, 50833, 51451, 51319, 50451, 57457, 51100, 50452, 56591, 50930, 51485, 50930, 67932, 63695, 50801, 50844, 80106, 50851, 51451, 50878, 61635, 55561, 51294, 55045, 52379, 51431, 52379, 64679, 51407, 50461, 51206, 51585, 51755, 51049, 53187, 56683, 51366, 50854, 51451, 50912, 51209, 50812, 51133, 53174, 58899, 51077, 52892, 51427, 50418, 55668, 58100, 55462, 54031, 69671, 77618, 50851, 51451, 50955, 57457, 51400, 55668, 61710, 55462, 63655, 55668, 50895, 55462, 50836, 51302, 60710, 52699, 50800, 51366, 50822, 79529, 55561, 50855, 52892, 50884, 55668, 50795, 57773, 50811, 51451, 51693, 50429, 55561, 50948, 52892, 65846, 66871, 51475, 69369, 50851, 51451, 50810, 54505, 50923, 50436, 55561, 50818, 52892, 50818, 75282, 53187, 56683, 51366, 50878, 51209, 50833, 52892, 51030, 55561, 50936, 50439, 51451, 51297, 58899, 51346, 53929, 59779, 54505, 69824, 53929, 53041, 69671, 77618, 50851, 51451, 50822, 55561, 50828, 52892, 50884, 54505, 57000, 53929, 54926, 55561, 50865, 52892, 50924, 54505, 61576, 53929, 50846, 51382, 56106, 60710, 52699, 50800, 51366, 50854, 51133, 50879, 58899, 50977, 54505, 57905, 51209, 50812, 53929, 50873, 50454, 52892, 50921, 55561, 59465, 50801, 50844, 80106, 50851, 51451, 50836, 50953, 51021, 50457, 58899, 50833, 53354, 50923, 50460, 55846, 51505, 51898, 51505, 50461, 53093, 50976, 55669, 54109, 51049, 53187, 56683, 54244, 52136, 52286, 51283, 52000, 50854, 51322, 50938, 51256, 50938, 74186, 54476, 50824, 53952, 50824, 58588, 51294, 55745, 51066, 50419, 56482, 50923, 51723, 50923, 52339, 57487, 69671, 77618, 50851, 52000, 65992, 57533, 51337, 50424, 55846, 50923, 51898, 50923, 50425, 53093, 51012, 51302, 51907, 51052, 51475, 52699, 50800, 51322, 50833, 51256, 50808, 55745, 65469, 52000, 62627, 51186, 51030, 55846, 50982, 56825, 51735, 51898, 50982, 52039, 51735, 53266, 53566, 50801, 50822, 80106, 50851, 51366, 51345, 51209, 51345, 51451, 51203, 55561, 51603, 54676, 51653, 50437, 51133, 51745, 75282, 53187, 56683, 51830, 51330, 53046, 51801, 58899, 51423, 50442, 53093, 51483, 50443, 55561, 51160, 53205, 51379, 55846, 51354, 51898, 51354, 50444, 69671, 77618, 50851, 51451, 50942, 51382, 51907, 51052, 51475, 52699, 50800, 51366, 50833, 51209, 50808, 51451, 50857, 58899, 74799, 51133, 51030, 54864, 51407, 65095, 50844, 80106, 50851, 51451, 50937, 53952, 51496, 53256, 51364, 55561, 51091, 58969, 54055, 54595, 54055, 50461, 51206, 51941, 50945, 51013, 57533, 51933, 51755, 51049, 53187, 56683, 51664, 56599, 51451, 51123, 52286, 53142, 51256, 50937, 51229, 64754, 53283, 54711, 50804, 54390, 50812, 54659, 77618, 50851, 51451, 50955, 59410, 50981, 51713, 50818, 52002, 50846, 51683, 59043, 53354, 54477, 52002, 50880, 51713, 50930, 75364, 53283, 59095, 53354, 62239, 53283, 50880, 51302, 51907, 67705, 52699, 50800, 55561, 51419, 52002, 51030, 51713, 51030, 51683, 50938, 50427, 51451, 52514, 51256, 50822, 51229, 50827, 53354, 56925, 50804, 53669, 56558, 51475, 69369, 50851, 50945, 51354, 52892, 50991, 51683, 50818, 51776, 50883, 51888, 61251, 51451, 50844, 52594, 50930, 51683, 50865, 51888, 50921, 51776, 50936, 50437, 50804, 51010, 75282, 53187, 56683, 59410, 51121 ]
[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 230, 3694, 6, 4246, 10, 2933, 648, 15352, 30054, 16464, 4, 85, 18, 278, 11, 10, 204, 73, 306, 86, 6543, 19, 41, 12447, 1001, 20889, 9, 9680, 13410, 228, 2289, 6, 8, 6308, 10, 881, 33215, 16739, 9, 230, 119, 6, 12608, 6, 2060, 6, 230, 119, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50931, 50809, 52128, 50809, 52128, 50809, 51050, 60692, 57722, 50800, 56143, 57061, 51147, 51835, 50871, 50809, 51487, 50809, 51487, 50809, 51050, 51631, 50876, 50809, 51339, 50809, 51339, 52359, 50871, 71914, 50809, 51050, 51646, 50931, 52510, 50871, 50809, 51050, 51798, 50951, 50809, 52128, 50809, 52128, 52485, 50871, 50809, 51487, 50809, 51487, 50809, 51050, 50795, 62856, 50809, 51339, 50809, 51339, 50809, 51050, 60692, 57722, 50800, 56143, 57061, 51147, 51835, 50871, 50809, 51050, 51631, 50876, 52359, 50871, 71914, 50809, 51050, 51646, 50931, 50809, 51339, 50809, 51339, 52510, 50871, 50809, 51487, 50809, 51487, 50809, 51050, 50830, 64566, 61617, 56251, 60990, 51147, 50830, 51050, 51798, 50951, 50809, 51487, 50809, 51487, 54139, 52128, 50809, 52128, 52485, 50871, 50809, 52052, 50809, 52052, 50809, 51050, 50795, 62856, 50809, 52357, 50809, 52357, 50809, 51176, 63628, 62674, 50800, 56143, 51001, 50800, 51147, 51835, 50965, 50809, 51176, 51631, 51001, 52359, 50965, 50809, 52128, 50809, 51176, 51646, 51001, 52510, 50965, 50809, 51176, 51798, 50876, 50809, 52357, 50809, 52357, 52485, 50965, 50809, 52052, 50809, 52052, 50809, 51176, 50795, 57923, 50809, 52357, 50809, 52357, 50809, 51176, 63628, 62674, 50800, 56143, 51001, 50800, 51147, 51835, 50965, 50809, 51176, 51631, 51001, 52359, 50965, 50809, 52128, 50809, 52357, 50809, 51176, 51646, 51001, 50809, 52357, 52510, 50965, 50809, 52052, 50809, 52052, 50809, 51176, 50830, 50956, 50830, 76251, 56251, 65133, 51147, 50830, 51176, 51798, 51001, 50809, 52128, 50809, 52128, 54139, 51487, 52485, 50965, 50809, 51487, 50809, 52128, 50809, 51176, 50795, 56229, 50809, 51339, 50809, 51339, 50809, 63049, 51040, 62674, 50800, 67243, 57061, 51147, 51835, 51040, 50809, 51360, 51631, 50931, 52359, 51040, 75321, 50809, 51360, 51646, 50931, 52510, 51040, 50809, 51360, 51798, 50951, 50809, 51339, 50809, 51339, 52485, 51040, 50809, 51487, 50809, 51487, 50809, 51360, 50795, 62856, 50809, 52128, 50809, 52128, 50809, 63049, 51040, 62674, 50800, 67243, 57061, 51147, 51835, 51040, 50809, 51360, 51631, 50951, 52359, 51040, 50809, 51487, 50809, 63049, 51040, 62674, 50800, 67243, 57061, 65902, 51360, 51646, 51081, 50809, 51339, 50809, 51339, 52510, 51040, 50809, 51487, 50809, 51487, 50809, 51360, 51798, 51147, 50809, 51487, 50809, 51487, 54139, 52128, 50809, 52128, 52485, 51040, 50809, 52052, 50809, 52052, 50809, 51360, 50795, 56807, 50809, 52128, 50809, 52128, 50809, 51085, 60692, 62674, 50800, 56143, 57061, 51147, 51835, 50900, 50809, 51085, 51631, 50931, 52359, 50900, 50809, 51339, 50809, 51085, 51646, 50931, 52510, 50900, 50809, 51085, 60692, 62674, 50800, 56143, 57061, 51147, 69259, 51798, 50968, 50809, 52128, 50809, 52128, 52485, 50900, 50809, 51487, 50809, 51487, 50809, 51085, 50795, 57289, 50809, 52357, 50809, 52357, 50809, 51085, 60692, 72674, 56143, 61097, 50951, 51835, 50900, 50809, 51085, 51631, 50968, 52359, 50900, 50809, 51487, 50809, 51085, 51646, 50931, 50809, 52357, 50809, 52357, 50809, 51085, 60692, 72674, 56143, 61097, 50951, 51820, 50900, 50809, 51085, 51798, 50951, 50809, 51487, 52485, 50900, 50809, 51085, 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, 250, 765, 6, 20425, 37903, 9, 15855, 8, 5175, 930, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 12608, 3694, 19, 10, 748, 1879, 4450, 20889, 9, 23672, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 11739, 9, 15352, 30054, 6, 1372, 6, 8, 2933, 6711, 29, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51324, 77607, 52115, 51086, 73027, 51631, 51324, 71389, 61120, 51086, 51828, 50322, 51646, 51324, 51828, 50331, 51918, 51086, 51828, 50322, 63112, 51324, 55037, 51086, 71389, 57814, 65133, 57497, 71389, 50967, 61683, 54919, 51360, 71389, 51736, 51040, 72655, 51646, 51360, 55700, 51040, 73027, 51798, 51360, 71389, 58760, 51040, 50865, 55881, 51828, 50322, 50967, 58097, 51828, 50326, 51631, 51197, 51828, 50331, 51736, 50956, 51828, 50333, 51646, 51197, 51828, 50334, 51918, 50956, 51828, 50331, 51798, 51197, 55037, 50956, 51828, 50326, 57814, 51147, 50830, 55881, 51828, 50326, 52115, 50956, 54919, 51197, 51828, 50324, 51736, 50956, 51828, 50322, 51646, 51197, 55700, 50956, 51828, 50324, 51798, 51197, 51828, 50326, 55037, 50956, 50865, 58066, 51828, 50327, 61766, 51086, 54919, 51324, 51828, 50327, 54725, 51086, 51828, 50329, 67174, 51324, 51828, 50331, 51918, 51086, 51828, 50327, 58647, 51324, 55037, 51086, 51828, 50324, 52567, 68631, 57497, 51828, 50324, 61000, 51040, 54919, 51360, 51828, 50322, 51736, 51040, 71389, 51646, 51360, 55700, 51040, 55178, 51360, 51828, 50322, 51923, 51040, 51828, 50324, 50795, 55881, 51828, 50326, 52115, 50956, 54919, 51197, 51828, 50331, 51736, 50956, 51828, 50333, 51646, 51197, 51828, 50334, 51918, 50956, 51828, 50338, 51798, 51197, 55037, 50956, 51828, 50334, 52567, 51339, 50800, 55881, 51828, 50331, 52115, 50956, 54919, 51197, 51828, 50326, 51736, 50956, 51828, 50324, 51646, 51197, 55700, 50956, 51828, 50326, 51798, 51197, 51828, 50324, 51923, 50956, 51828, 50322, 50865, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4246, 13305, 6, 21979, 8, 3459, 29589, 6, 38668, 11212, 6, 8, 21979, 9590, 6, 278, 11, 5, 762, 9, 211, 538, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 6, 7630, 14805, 6453, 9, 657, 8, 10563, 149, 63, 15352, 30054, 15229, 6, 19, 10, 33215, 16739, 9, 83, 406, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 71410, 51544, 50936, 51570, 60224, 51334, 51388, 64679, 72551, 51390, 51379, 67932, 63986, 58133, 51334, 51014, 64679, 51014, 50459, 51390, 50912, 67932, 50912, 53458, 51009, 50953, 51009, 50988, 51173, 51590, 52282, 78316, 52282, 53366, 51551, 51099, 51551, 51429, 51870, 51275, 51527, 60616, 51732, 50856, 51735, 58082, 68907, 50847, 57647, 50848, 51173, 50856, 52195, 50438, 50935, 56209, 51098, 51388, 50953, 51388, 50988, 54596, 51668, 50802, 51415, 62858, 54353, 51150, 51012, 51133, 66594, 55328, 50887, 56950, 52369, 51271, 52369, 50848, 50893, 52176, 51496, 51198, 51496, 51494, 51761, 51119, 51552, 53366, 51551, 50856, 51573, 57189, 63979, 61267, 50858, 58578, 51685, 50432, 50885, 51661, 50868, 51343, 50856, 51552, 50444, 54193, 50923, 50744, 50328, 56827, 55899, 51173, 50744, 50330, 65651, 55635, 50893, 54193, 50890, 50744, 50328, 50890, 53458, 51009, 50953, 51009, 50988, 51173, 56463, 51196, 55420, 52208, 50744, 50327, 52208, 52176, 51496, 51099, 52369, 51429, 53174, 51275, 52369, 53366, 52266, 52758, 53601, 50856, 51735, 58082, 68907, 50847, 57647, 50848, 51173, 50856, 52195, 50438, 50935, 56209, 51098, 51388, 50953, 51388, 50988, 54596, 51668, 50802, 51415, 62858, 54353, 51150, 51012, 51133, 66594, 55328, 50887, 56950, 52369, 51271, 52369, 50848, 50893, 52176, 51761, 51198, 51496, 51494, 51552, 51119, 51552, 52176, 52266, 50856, 51573, 57189, 63979, 61267, 50858, 58578, 51196, 59744, 51196, 50432, 50885, 51661, 50868, 51343, 50856, 51573, 56752, 60866, 50856, 55577, 50960, 64363, 50962, 50799, 51076, 51014, 51098, 51732, 50953, 51732, 50988, 51016, 52176, 51761, 53366, 55362, 51869, 55362, 52040, 53898, 51198, 55362, 50798, 64146, 51076, 59845, 68907, 51076, 58360, 57647, 51076, 63694, 76622, 51076, 51192, 50935, 53734, 51343, 50444, 50947, 51073, 50848, 58833, 50847, 55764, 51032, 50824, 50935, 51173, 57746, 51175, 53366, 55362, 50791, 72041, 51076, 72701, 68907, 50872, 70756, 50947, 51158, 50848, 76622, 73560, 50935, 60397, 51226, 50444, 50988, 55260, 50960, 55868, 51173, 53366, 50880, 52040, 50962, 51198, 50962, 51708, 54403, 50998, 50993, 50935, 50948, 55929, 52442, 50964, 52442, 51332, 51343, 51964, 57676, 51280, 58690, 51232, 59939, 51099, 58690, 50798, 64146, 50998, 51407, 50988, 51290, 59812, 70192, 50868, 59826, 50909, 60257, 51343, 50444, 51332, 78669, 51173, 50447, 51332, 54596, 50848, 51173, 53366, 54647, 50868, 50890, 57732, 51175, 50885, 51175, 51964, 57676, 50791, 72041, 50988, 51173, 59812, 59371, 57748, 51332, 59306, 50909, 71496, 51226, 50444, 50988, 57322, 50885, 51175, 51280, 50883, 51232, 50880, 51099, 50880, 51964, 52935, 50868, 50895, 72243, 51045, 51273, 54217, 50927, 54217, 51171, 51362, 52176, 51585, 51119, 53241, 51494, 53241, 51198, 71062, 64146, 50947, 51653, 50946, 51175, 57189, 70756, 50947, 51952, 50294, 66341, 76622, 50929, 51048, 50850, 60397, 51343, 50444, 50946, 71381, 50929, 51158, 50868, 51175, 51964, 52935, 51078, 51932, 50944, 50858, 58282, 51362, 52176, 74390, 72041, 51078, 77207, 51175, 57189, 51173, 50850, 55214, 51078, 51834, 50294, 51235, 51494, 50895, 51198, 50893, 52176, 51090, 51275, 51496, 50438, 50998, 59568, 66857, 55417, 51226, 50444, 50946, 50893, 51119, 63233, 50960, 60874, 78560, 50940, 51198, 54450, 50998, 51388, 61894, 51407, 51098, 51184, 50953, 51184, 50988, 51235, 51869, 52282, 52040, 52311, 51198, 52311, 53366, 52282, 50791, 53690, 52410, 50848, 53734, 52437, 50847, 55417, 52359, 50848, 51016, 52176, 57191, 53574, 50935, 55637, 55489, 50847, 51173, 68698, 50848, 60397, 52485, 50935, 52207, 50818, 56950, 51795, 51271, 51795, 51171, 51977, 52176, 51237, 52176, 52282, 52963, 55180, 50946, 51173, 52093, 57189, 59262, 62712, 51135, 53810, 50848, 51362, 50944, 51362, 50850, 51135, 53219, 50850, 60257, 52510, 50946, 50893, 51099, 50962, 51119, 50930, 52176, 51575, 52396, 50848, 51173, 50944, 69504, 50893, 51494, 55043, 57830, 62875, 51007, 50890, 51198, 50961, 51232, 52586, 50924, 50799, 70442, 51098, 51184, 50953, 51184, 50988, 51977, 51322, 51184, 70126, 51184, 52176, 51237, 51869, 51054, 52040, 51054, 51198, 56351, 53690, 55573, 51076, 61631, 60257, 53425, 51076, 50936, 77362, 53366, 60467, 53695, 72588, 50848, 51173, 52176, 53734, 54431, 51007, 51173, 51275, 50880, 51099, 51739, 52510, 51076, 51603, 50935, 51227, 52176, 51575, 53533, 50988, 65971, 51173, 73631, 54663, 51032, 56602, 60257, 50818, 56950, 51009, 51271, 51009, 50988, 51362, 52468, 53174, 50744, 50294, 53174, 51119, 51033, 51275, 51054, 53366, 51541, 52963, 55180, 51076, 63165, 51175, 50909, 51175, 51007, 50895, 79408, 52112, 57189, 51173, 51007, 50890, 52176, 50882, 53366, 60467, 52209, 50947, 51060, 50847, 70580, 51227, 51007, 50895, 51119, 50880, 52176, 53734, 52565, 50929, 51054, 51098, 51009, 50953, 51009, 51119, 51192, 51275, 79108, 55489, 50850, 51173, 51007, 50895, 51429, 55968, 53641, 51007, 58631, 50935, 50948, 51099, 64116, 51156, 54663, 50847, 51135, 50884, 53788, 51184, 51133, 51184, 51332, 51661, 50885, 51175, 50847, 51227, 51280, 51030, 51232, 51021, 51099, 51030, 51964, 51226, 51964, 51541, 50791, 53690, 55573, 50988, 53734, 53425, 50998, 56471, 51173, 50868, 50940, 50847, 50858, 51964, 51594, 53695, 50929, 51192, 50847, 50895, 50909, 76714, 54431, 50947, 58568, 54790, 50885, 59591, 51076, 68941, 51290, 68698, 51332, 50940, 51516, 50961, 51153, 67854, 51156, 54663, 50947, 65554, 51135, 53902, 50929, 50952, 69146, 51009, 51216, 51352, 51011, 51352, 51688, 51362, 51119, 50936, 51489, 51379, 52537, 51226, 52537, 51496, 52963, 55180, 51217, 51173, 51777, 51021, 52112, 62810, 51227, 52700, 52379, 74420, 52379, 52533, 54196, 52209, 50868, 51362, 51489, 50883, 51578, 51594, 52565, 51017, 60257, 55489, 50850, 60257, 53641, 50868, 71381, 51017, 51173, 73631, 54663, 50946, 52207, 50884, 68892, 51505, 51461, 51795, 50964, 51795, 51332, 51356, 51280, 51427, 51964, 74752, 53690, 55573, 51076, 79752, 51016, 51099, 54444, 53425, 50885, 51362, 51516, 50961, 51275, 50882, 52533, 50921, 51280, 51291, 50791, 53695, 50947, 51054, 50868, 50940, 51516, 50921, 51153, 64512, 54431, 50868, 78230, 60257, 52510, 50929, 51460, 50909, 51235, 51099, 50921, 68698, 50885, 65710, 50948, 73631, 54663, 51032, 52448, 50818, 54079, 51795, 50927, 51795, 51171, 51941, 51198, 52282, 52963, 55180, 62569, 50946, 51016, 51119, 50911, 52112, 57189, 78560, 51175, 51489, 50930, 51578, 55043, 52209, 51076, 72979, 50940, 51275, 51454, 51578, 70817, 53593, 50947, 59646, 50929, 51072, 50868, 60397, 50887, 51180, 52396, 50947, 51111, 50868, 62712, 51173, 73631, 54663, 50929, 51496, 50944, 52207, 50884, 53458, 51795, 50953, 51795, 50988, 51343, 51869, 65522, 53690, 55573, 50848, 51173, 51198, 57191, 53425, 74432, 51119, 62003, 53695, 50848, 51173, 50847, 50858, 51275, 55043, 54431, 50935, 51016, 51590, 50802, 78316, 74292, 50884, 51429, 66363, 52510, 50847, 50893, 51334, 50830, 64679, 50830, 68698, 50848, 51173, 51390, 50917, 67932, 50917, 51119, 76132, 51156, 54663, 50935, 51235, 51334, 50921, 64679, 50921, 51275, 51500, 51099, 51573, 66079, 53458, 51300, 50953, 51300, 50988, 51016, 51590, 50975, 78316, 55188, 53690, 51029, 58082, 55637, 53150, 50847, 60257, 54334, 50935, 55417, 54292, 51098, 50802, 57416, 50988, 50893, 53973, 51192 ]
[ 0, 250, 15352, 30054, 8, 17627, 17274, 3495, 5175, 2214, 4246, 10, 3741, 27374, 594, 6, 38668, 2236, 6, 18558, 6, 21072, 6, 8, 6755, 12547, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 5, 762, 9, 163, 538, 6, 19, 5, 40286, 83, 401, 6, 163, 406, 6, 8, 163, 119, 8165, 1328, 42, 33558, 2365, 3618, 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 ]	[ 54458, 51528, 51135, 66032, 50829, 71172, 50870, 51361, 50820, 71504, 70041, 50834, 51899, 51139, 50891, 78808, 50799, 56549, 50895, 56549, 50895, 67406, 50863, 67406, 50863, 58658, 50825, 58658, 50825, 57953, 51520, 51135, 50908, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50863, 58658, 50863, 55160, 51052, 50829, 57865, 51973, 56024, 50961, 56024, 50961, 67406, 50870, 67406, 50870, 58658, 50863, 58658, 50863, 54289, 52409, 51041, 50863, 53930, 52119, 67406, 50820, 67406, 50820, 58658, 50870, 58658, 50870, 57953, 51052, 50834, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50891, 67406, 50891, 58658, 50837, 58658, 50837, 54289, 52466, 51135, 50837, 53930, 55380, 67406, 50834, 67406, 50834, 58658, 50891, 58658, 50891, 55160, 51052, 50829, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50891, 67406, 50891, 58658, 50825, 58658, 50825, 54330, 50823, 54680, 50837, 53968, 54178, 67406, 50820, 67406, 50820, 58658, 50837, 58658, 50837, 55160, 51052, 50820, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50908, 67406, 50908, 58658, 50863, 58658, 50863, 57953, 51520, 51135, 53332, 50825, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50891, 58658, 50891, 55160, 51052, 60415, 57865, 51973, 56024, 50883, 56024, 50883, 67406, 50863, 67406, 50863, 58658, 50825, 58658, 50825, 54289, 52409, 51139, 61865, 53930, 52119, 67406, 50834, 67406, 50834, 58658, 50863, 58658, 50863, 57953, 51052, 53518, 50870, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50837, 67406, 50837, 58658, 50825, 58658, 50825, 54289, 52466, 51135, 53977, 50837, 53930, 55380, 67406, 50829, 67406, 50829, 58658, 50837, 58658, 50837, 55160, 51052, 53622, 50891, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50837, 67406, 50837, 58658, 50835, 58658, 50835, 54330, 50823, 54680, 53977, 50825, 53968, 54178, 67406, 50820, 67406, 50820, 58658, 50870, 58658, 50870, 55160, 51052, 53518, 50837, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50863, 67406, 50863, 58658, 50835, 58658, 50835, 57953, 51520, 51135, 50368, 52663, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50837, 58658, 50837, 55160, 51052, 52909, 50891, 57865, 51973, 56024, 50961, 56024, 50961, 67406, 50870, 67406, 50870, 58658, 50835, 58658, 50835, 54289, 52409, 51041, 53332, 50825, 53930, 52119, 67406, 50820, 67406, 50820, 58658, 50837, 58658, 50837, 57953, 51052, 50376, 52663, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50891, 67406, 50891, 58658, 50863, 58658, 50863, 54289, 52466, 51135, 54561, 50825, 53930, 55380, 67406, 50834, 67406, 50834, 58658, 50837, 58658, 50837, 55160, 51052, 52909, 50837, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50891, 67406, 50891, 58658, 50825, 58658, 50825, 54330, 50823, 54680, 54561, 50835, 53968, 54178, 67406, 50820, 67406, 50820, 52779, 50818, 52779, 50818, 58658, 50825, 58658, 50825, 55160, 51052, 53518, 50870, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50908, 67406, 50908, 52779, 50961, 52779, 50961, 58658, 50835, 58658, 50835, 57953, 51520, 51135, 53332, 50835, 59521, 52244, 67406, 50829, 67406, 50829, 52779, 50949, 52779, 50949, 58658, 50825, 58658, 50825, 55160, 51052, 52909, 50837, 57865, 51973, 56024, 50883, 56024, 50883, 67406, 50863, 67406, 50863, 52779, 50846, 52779, 50846, 58658, 50825, 58658, 50825, 54289, 52409, 51139, 53730, 50835, 53930, 52119, 67406, 50834, 67406, 50834, 52779, 50820, 52779, 50820, 58658, 50825, 58658, 50825, 57953, 51052, 53518, 50837, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50837, 67406, 50837, 58658, 50825, 58658, 50825, 54289, 52466, 51135, 78199, 53930, 55380, 67406, 50829, 67406, 50829, 58658, 50835, 58658, 50835, 55160, 51052, 53622, 50837, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50837, 67406, 50837, 58658, 50825, 58658, 50825, 54330, 50823, 54680, 53977, 50825, 53968, 54178, 67406, 50820, 67406, 50820, 58658, 50825, 58658, 50825, 55160, 51052, 52532, 52922, 50825, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50863, 67406, 50863, 58658, 50825, 58658, 50825, 57953, 51520, 51135, 53461, 56821, 50835, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50863, 58658, 50863, 55160, 51052, 52543, 54349, 50825, 57865, 51973, 56024, 50961, 56024, 50961, 67406, 50870, 67406, 50870, 58658, 50863, 58658, 50863, 54289, 52409, 51041, 52680, 53544, 50825, 53930, 52119, 67406, 50820, 67406, 50820, 58658, 50870, 58658, 50870, 57953, 51052, 53622, 52300, 50820, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50891, 67406, 50891, 58658, 50837, 58658, 50837, 54289, 52466, 51135, 54561, 50825, 53930, 55380, 67406, 50834, 67406, 50834, 58658, 50891, 58658, 50891, 55160, 51052, 52909, 50835, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50891, 67406, 50891, 58658, 50825, 58658, 50825, 54330, 50823, 54680, 54561, 50825, 53968, 54178, 67406, 50820, 67406, 50820, 58658, 50837, 58658, 50837, 55160, 51052, 53518, 50825, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50908, 67406, 50908, 58658, 50863, 58658, 50863, 57953, 51520, 51135, 53332, 50825, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50891, 58658, 50891, 55160, 51052, 60415, 57865, 51973, 56024, 50883, 56024, 50883, 67406, 50863, 67406, 50863, 58658, 50825, 58658, 50825, 54289, 52409, 51139, 61865, 53930, 52119, 67406, 50834, 67406, 50834, 58658, 50863, 58658, 50863, 57953, 51052, 53518, 50870, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50837, 67406, 50837, 58658, 50825, 58658, 50825, 54289, 52466, 51135, 53977, 50837, 53930, 55380, 67406, 50829, 67406, 50829, 58658, 50837, 58658, 50837, 55160, 51052, 53622, 50891, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50837, 67406, 50837, 58658, 50835, 58658, 50835, 54330, 50823, 54680, 53977, 50825, 53968, 54178, 67406, 50820, 67406, 50820, 58658, 50870, 58658, 50870, 55160, 51052, 53518, 50837, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50863, 67406, 50863, 58658, 50835, 58658, 50835, 57953, 51520, 51135, 50368, 52663, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50837, 58658, 50837, 55160, 51052, 52909, 50891, 57865, 51973, 56024, 50961, 56024, 50961, 67406, 50870, 67406, 50870, 58658, 50835, 58658, 50835, 54289, 52409, 51041, 53332, 50825, 53930, 52119, 67406, 50820, 67406, 50820, 58658, 50837, 58658, 50837, 57953, 51052, 50376, 52663, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50891, 67406, 50891, 58658, 50863, 58658, 50863, 54289, 52466, 51135, 54561, 50825, 53930, 55380, 67406, 50834, 67406, 50834, 58658, 50837, 58658, 50837, 55160, 51052, 52909, 50837, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50891, 67406, 50891, 58658, 50825, 58658, 50825, 54330, 50823, 54680, 54561, 50835, 53968, 54178, 67406, 50820, 67406, 50820, 58658, 50825, 58658, 50825, 55160, 51052, 53518, 50870, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50908, 67406, 50908, 58658, 50835, 58658, 50835, 57953, 50803, 51251, 50808, 51251, 50808, 51491, 50808, 51491, 50808, 51357, 50808, 51357, 51747, 51135, 53332, 50835, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50825, 58658, 50825, 55160, 51052, 52909, 50837, 57865, 51973, 56024, 50883, 56024, 50883, 67406, 50863, 67406, 50863, 58658, 50825, 58658, 50825, 54289, 52409, 51139, 53730, 50835, 53930, 52119 ]
[ 0, 250, 12298, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 6755, 12547, 6, 25044, 139, 10170, 1499, 6, 21979, 8669, 6, 21072, 6, 8, 4401, 757, 3178, 6, 70, 8216, 7, 63, 32076, 1619, 4780, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 6, 42, 15352, 30054, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 7630, 14805, 6453, 9, 11098, 6, 10563, 6, 8, 26545, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 59412, 51504, 74989, 50945, 51112, 51169, 50933, 51032, 50955, 50986, 51025, 50970, 51400, 50427, 51504, 51309, 50986, 51233, 50970, 51309, 50431, 51032, 57123, 51169, 51387, 51169, 51432, 51032, 51432, 50437, 52562, 56656, 51105, 51112, 75646, 51064, 50977, 52562, 51212, 51246, 51212, 51136, 51642, 51136, 51400, 51246, 51806, 50816, 67367, 51064, 51470, 50929, 51166, 69695, 51064, 51074, 50449, 53805, 51312, 51846, 54980, 51228, 51112, 51169, 50955, 70850, 53805, 51212, 51846, 51212, 51317, 51212, 51317, 51312, 50816, 50941, 59986, 51128, 54706, 51851, 50455, 50816, 71736, 50970, 52192, 50970, 51376, 51169, 51376, 51169, 66382, 51851, 50458, 51725, 56374, 51149, 69372, 75661, 51574, 52256, 51439, 55071, 51319, 50460, 51207, 51330, 50986, 51108, 50461, 51207, 54558, 50328, 59958, 51126, 52534, 50807, 51246, 51166, 50998, 51806, 50929, 51108, 50929, 51097, 51032, 50981, 50909, 51255, 52095, 51122, 51833, 64653, 63148, 72184, 55650, 51207, 52167, 51246, 52192, 58907, 50425, 51439, 76349, 51246, 50982, 50998, 76876, 50870, 52403, 51192, 50939, 51233, 64892, 59268, 50378, 53830, 59875, 55286, 50953, 50901, 51246, 52731, 50998, 51174, 69695, 51032, 50972, 58009, 68658, 51207, 51524, 67465, 51112, 51207, 50908, 51246, 50891, 50998, 50863, 50929, 50825, 51032, 50835, 51439, 51158, 66276, 59417, 51467, 64653, 50378, 53830, 59317, 55434, 51246, 51824, 50998, 51058, 60384, 51032, 53021, 54435, 70435, 51207, 76267, 50953, 51346, 51246, 50982, 50998, 50908, 50929, 69910, 51363, 51149, 51112, 64892, 63823, 57305, 50378, 53830, 59875, 55735, 51246, 51824, 50998, 51058, 78125, 71314, 51456, 53111, 69646, 51207, 51524, 50460, 58013, 58449, 55954, 51177, 51207, 51884, 52534, 50807, 51246, 51166, 50998, 51199, 64387, 71664, 52095, 51698, 51467, 64653, 63148, 72184, 55650, 51246, 54071, 50986, 51048, 58907, 50421, 51207, 51524, 50425, 54642, 58798, 51246, 50891, 50998, 77828, 67310, 51467, 59268, 50378, 53830, 59875, 73956, 52860, 61721, 53210, 55286, 50953, 50901, 51317, 50834, 51246, 51824, 50998, 51470, 78445, 51032, 50972, 58009, 68658, 51207, 51524, 50434, 52860, 50851, 60580, 50436, 53424, 59948, 51311, 69203, 53062, 50904, 51133, 51112, 51207, 50908, 51246, 50891, 50998, 50863, 50929, 50825, 51032, 53617, 59488, 51467, 64653, 50378, 53830, 59317, 50941, 50439, 53424, 63780, 53062, 63938, 53424, 60825, 51246, 51824, 50998, 51058, 60384, 51032, 53021, 54435, 70435, 53062, 50870, 51207, 51524, 50446, 53424, 60678, 50953, 51346, 51246, 50982, 50998, 50908, 50929, 50908, 51317, 58785, 51467, 63823, 57305, 50378, 53830, 59875, 55735, 51246, 51824, 50998, 51058, 50929, 51006, 71314, 51456, 53111, 69646, 51207, 51524, 69693, 52138, 56551, 52138, 61629, 50909, 58660, 51504, 54558, 50328, 51121, 50909, 50967, 52354, 50807, 50986, 51166, 50970, 51806, 51169, 51097, 51032, 50981, 50986, 51145, 52095, 51698, 51467, 64653, 63148, 72184, 55650, 51504, 52167, 50986, 52192, 50791, 53356, 50986, 50982, 50970, 50837, 51169, 50870, 50909, 51177, 52138, 51192, 64892, 59268, 50378, 53830, 59875, 55286, 76170, 50986, 52731, 50970, 51174, 51169, 51079, 51032, 50972, 58009, 68658, 51504, 51524, 53357, 51112, 51504, 50908, 50986, 50891, 50970, 50863, 51169, 50825, 51032, 68565, 51501, 50324, 50849, 59417, 51467, 64653, 50378, 53830, 59317, 55434, 50986, 51824, 50970, 51058, 77217, 51032, 53021, 54435, 70435, 51504, 76267, 50964, 51346, 50986, 50982, 50970, 50908, 51169, 50908, 50872, 51501, 50321, 51173, 64892, 63823, 57305, 50378, 53830, 59875, 55735, 50986, 51824, 50970, 51058, 51169, 51174, 71314, 51456, 53111, 69646, 51504, 51524, 50460, 58013, 50971, 55954, 51100, 50461, 51504, 51884, 52354, 50807, 50986, 51166, 50970, 51199, 51169, 50981, 71664, 52095, 51698, 51467, 64653, 63148, 72184, 55650, 50986, 54071, 50986, 51048, 58907, 50421, 51504, 51524, 50423, 54642, 53950, 52860, 50862, 50986, 50891, 50970, 50825, 51169, 67310, 51467, 59268, 50378, 53830, 59875, 73956, 53210, 59833, 53210, 50907, 52860, 54661, 54642, 50864, 76170, 51317, 50834, 50986, 51824, 50970, 51470, 51169, 51074, 51032, 50972, 58009, 68658, 52635, 51319, 51504, 51524, 50434, 53915, 51319, 50986, 55310, 53424, 67171, 53062, 61842, 51311, 51112, 53357, 51112, 51504, 50908, 50986, 50891, 50970, 50863, 51169, 50825, 51032, 53617, 59488, 51467, 64653, 50378, 53830, 59317, 50941, 50440, 52860, 57138, 50986, 51824, 50970, 51058, 77217, 51032, 53021, 54435, 70435, 51504, 51524, 50447, 53062, 53567, 50964, 51346, 50986, 50982, 50970, 50908, 51169, 50908, 51317, 58785, 51467, 63823, 57305, 50378, 53830, 59875, 73951, 53915, 64461, 52635, 55293, 50986, 51824, 50970, 51058, 51169, 51006, 71314, 51456, 53111, 69646, 51504, 51524, 50458, 54642, 71490, 52860, 50984, 51207, 51432, 52563, 50807, 51246, 51166, 50998, 51806, 50929, 51097, 51032, 50981, 50986, 51145, 54374, 51006, 59048, 51058, 50909, 51424, 50320, 51060, 52095, 51698, 51467, 64653, 63148, 72184, 55650, 51207, 52167, 51246, 52192, 58907, 50425, 50676, 50338, 50987, 50676, 50341, 57104, 51246, 50982, 50998, 76876, 50870, 52403, 51424, 50329, 50893, 64892, 59268, 50378, 53830, 59875, 55286, 76170, 51246, 52731, 50998, 51174, 69695, 51032, 50972, 58009, 68658, 51207, 51524, 50437, 50676, 50338, 50955, 55208, 51112, 51207, 50908, 51246, 50891, 50998, 50863, 50929, 50825, 51032, 50835, 51439, 50917, 59048, 50987, 52403, 51650, 59488, 51467, 64653, 50378, 53830, 59317, 55434, 51246, 51824, 50998, 51058, 60384, 51032, 53021, 54435, 70435, 51207, 76267, 50964, 51346, 51246, 50982, 50998, 50908, 50929, 50908, 54374, 51006, 59048, 50987, 51149, 51424, 50323, 51192, 64892, 63823, 57305, 50378, 53830, 59875, 55735, 51246, 51824, 50998, 51058, 78125, 71314, 51456, 53111, 69646, 51207, 51524, 50460, 58013, 63729, 55954, 50901, 51207, 51884, 52563, 50807, 51246, 51166, 50998, 51199, 64387, 71664, 52095, 51698, 51467, 64653, 63148, 72184, 55650, 51246, 54071, 50986, 51048, 58907, 50421, 51207, 51524, 50422, 54642, 63790, 53424, 52580, 51246, 50891, 50998, 77828, 67310, 51467, 59268, 50378, 53830, 59875, 73956, 53539, 66113, 56313, 54216, 76170, 51317, 50840, 51246, 51824, 50998, 51470, 78445, 51032, 50972, 58009, 68658, 51207, 51524, 50434, 61105, 68066, 50986, 59693, 55954, 50812, 51311, 51112, 55208, 51112, 51207, 50908, 51246, 50891, 50998, 50863, 50929, 50825, 51032, 53617, 59488, 51467, 64653, 50378, 53830, 59317, 50941, 50439, 61105, 68273, 55954, 59356, 61105, 60362, 55954, 53594, 51246, 51824, 50998, 51058, 60384, 51032, 53021, 54435, 70435, 51207, 76267, 50964, 51346, 51246, 50982, 50998, 50908, 50929, 50908, 51317, 58785, 51467, 63823, 57305, 50378, 53830, 59875, 55735, 53539, 51269, 51246, 51824, 50998, 51058, 50929, 51006, 71314, 51456, 53111, 69646, 51207, 51524, 50459, 61105, 61243, 55954, 51006, 51504, 51432, 52354, 50807, 50986, 51166, 50970, 51806, 51169, 51097, 51032, 50981, 50986, 51145, 57556, 50827, 50676, 50336, 50844, 52138, 50917, 52238, 51501, 50321, 51177, 52095, 51698, 51467, 64653, 63148, 72184, 55650, 51504, 52167, 50986, 52192, 50791, 53356, 50986, 50982, 50970, 50837, 51169, 50870, 50676, 50345, 50857, 50676, 50340, 50854, 50676, 50336, 50830, 57556, 50924, 52138, 61073, 51467, 59268, 50378, 53830, 59875, 55286, 76170 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 2214, 19, 10, 2842, 9, 1365, 6288, 6, 4246, 10, 13305, 981, 5, 33301, 6, 7513, 30, 41, 21979, 8669, 6, 3459, 9590, 6, 21072, 6, 8, 10, 6755, 12547, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 2351, 10, 3366, 219, 8, 23975, 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 ]	[ 54458, 53285, 53073, 54549, 51295, 52091, 52122, 52398, 51295, 56090, 51551, 55243, 51685, 52806, 51685, 51660, 51226, 51929, 50983, 51808, 51294, 54797, 51343, 52156, 51189, 58749, 51295, 50415, 50856, 54562, 53496, 53454, 51701, 52821, 51660, 55198, 51440, 55198, 52361, 56082, 56416, 54454, 52604, 53651, 63810, 51353, 50856, 54586, 56090, 56073, 50450, 55243, 52017, 50456, 52745, 51469, 77631, 51696, 50770, 50313, 53501, 55957, 53442, 50856, 55186, 54797, 51060, 52156, 50873, 58749, 50977, 50449, 52604, 59881, 56416, 50924, 63810, 68384, 52433, 53702, 56523, 50893, 62527, 50854, 68849, 53520, 54549, 51115, 52091, 51717, 52398, 51295, 67347, 52570, 56922, 51896, 56194, 51358, 51660, 51294, 51929, 51552, 51808, 51294, 54797, 51091, 52156, 51218, 58749, 73497, 54562, 53496, 52821, 51701, 53082, 51660, 54089, 51440, 54089, 52361, 54089, 56416, 54527, 52604, 51359, 63810, 51422, 50856, 54586, 56922, 53898, 50450, 56194, 54454, 50456, 54632, 52017, 50799, 52806, 52500, 50438, 52043, 51016, 51789, 50795, 55906, 61985, 53335, 51215, 52083, 50873, 57963, 65928, 54028, 50856, 52396, 52807, 51192, 51686, 50805, 56318, 65928, 70896, 52156, 67773, 54797, 50911, 58749, 50854, 50799, 61262, 51036, 52016, 52069, 52091, 51894, 52582, 51894, 51701, 51894, 73602, 53435, 53722, 53435, 51660, 51941, 51944, 52369, 51440, 51585, 52361, 52266, 56416, 53241, 50770, 50313, 53501, 52604, 51714, 63810, 52069, 50450, 51669, 76342, 54797, 50859, 56318, 50810, 58749, 64853, 52156, 65928, 61010, 52807, 50921, 50460, 51686, 50925, 50799, 54387, 51696, 52016, 51945, 52582, 52069, 51701, 51359, 50656, 50284, 53435, 55243, 53435, 51614, 52392, 51944, 53435, 51440, 53241, 52361, 52392, 56416, 52311, 63810, 51145, 50856, 56868, 52604, 51623, 50444, 54797, 51167, 52156, 50901, 58749, 58332, 56416, 50893, 52604, 50978, 63810, 63335, 52433, 55670, 56523, 51173, 62527, 50810, 53285, 51036, 54549, 51310, 52091, 51307, 52398, 51141, 56090, 51696, 52806, 53435, 51660, 52536, 51929, 52392, 51808, 53241, 54797, 50983, 52156, 51295, 58749, 51351, 50856, 52975, 53496, 51591, 51701, 55277, 56416, 54300, 52604, 51742, 63810, 51452, 50856, 54450, 50856, 56232, 63338, 50799, 54387, 51655, 52016, 51359, 52582, 51353, 50656, 50284, 52536, 55243, 51469, 51614, 51696, 51944, 52208, 51440, 51036, 62527, 51714, 50856, 58410, 52433, 51307, 50438, 52043, 51541, 51321, 50839, 58540, 50809, 51069, 51655, 56090, 52500, 52806, 52500, 51660, 51496, 51440, 51364, 51808, 51527, 52361, 51274, 51688, 51795, 50856, 54892, 51028, 50887, 51217, 51336, 50426, 51028, 62798, 79411, 51028, 50809, 51017, 74814, 51028, 55885, 50973, 51060, 51660, 51090, 60027, 51158, 51440, 51158, 51217, 51191, 50456, 50916, 51364, 52361, 50880, 50946, 61845, 50884, 53534, 51077, 56090, 52536, 51660, 51285, 51929, 51496, 51808, 51274, 51688, 51352, 51396, 51343, 51042, 78886, 52265, 51040, 50924, 52806, 51472, 59419, 50879, 51069, 51356, 51660, 51090, 51440, 51054, 52361, 51016, 52043, 65057, 50918, 51017, 71158, 51040, 51798, 65927, 51217, 51377, 50456, 50877, 50795, 51688, 63572, 50839, 57190, 51158, 51205, 53073, 58748, 53241, 52745, 51685, 51614, 51336, 51944, 51336, 51440, 51196, 51808, 51896, 51669, 51551, 51791, 51894, 50856, 53336, 50989, 51554, 50298, 52151, 56248, 59687, 52069, 50432, 50989, 51291, 50848, 51486, 50450, 52745, 50882, 51614, 54210, 50965, 50840, 52435, 50895, 51660, 53498, 50820, 57190, 51158, 58748, 51896, 51614, 52195, 51944, 52097, 51791, 51894, 50856, 53336, 50989, 50865, 51506, 51391, 62144, 72672, 51803, 76567, 70902, 68875, 51440, 54952, 50989, 63112, 51506, 53697, 50456, 51042, 51753, 50856, 50828, 55331, 50859, 61262, 51036, 73602, 52500, 53722, 52500, 51614, 51896, 51660, 52311, 51944, 51896, 51440, 51933, 66598, 51696, 50856, 52302, 50902, 50840, 51506, 51714, 60718, 65761, 51486, 63975, 61631, 51591, 66836, 52815, 51028, 60866, 50973, 53592, 52738, 50965, 51364, 50856, 50828, 50799, 54387, 51336, 50656, 50284, 51941, 55243, 51941, 51944, 52195, 51440, 52195, 51669, 51285, 61153, 51991, 50856, 56051, 51506, 51351, 62810, 73576, 76251, 50848, 51364, 50438, 50965, 50991, 51019, 51356, 51808, 55489, 51506, 51419, 78933, 64949, 50946, 51400, 50454, 50973, 68635, 71812, 50856, 50841, 57126, 51364, 51069, 51016, 56090, 52369, 52806, 51941, 51660, 51541, 51440, 51226, 52361, 51091, 51688, 52379, 50856, 56051, 51217, 52069, 62810, 51662, 64185, 51358, 51069, 51336, 51660, 50880, 51929, 50962, 51808, 50962, 51017, 51591, 50856, 55891, 50856, 50846, 53285, 51111, 50656, 50284, 51696, 51614, 51696, 51660, 51469, 51944, 51696, 51440, 52208, 50946, 53006, 63572, 54892, 51796, 51554, 50300, 50865, 50992, 53466, 53344, 50910, 51506, 50942, 50944, 71992, 54387, 51175, 51217, 55501, 51918, 50927, 51158, 51171, 69912, 65458, 51228, 51158, 52540, 50866, 51017, 52961, 51205, 51111, 51791, 50865, 51042, 50849, 58540, 50859, 51069, 54484, 56090, 53241, 52806, 52392, 51660, 51552, 51440, 51496, 51808, 51356, 52361, 51343, 51266, 51717, 51688, 51795, 50856, 54892, 51028, 50887, 51217, 51336, 50426, 51028, 76331, 79411, 51028, 64353, 74814, 51028, 71492, 50973, 50795, 51660, 58833, 50877, 50805, 51440, 51192, 51217, 51191, 50456, 50916, 51364, 52361, 50962, 50946, 61845, 50818, 50799, 56090, 51605, 51660, 51285, 51929, 51552, 51808, 51364, 51688, 51352, 51396, 51343, 51042, 78886, 52265, 51040, 50865, 52806, 52097, 59419, 50879, 51660, 51090, 51440, 51054, 52361, 51090, 52043, 78888, 50918, 51017, 71158, 51040, 50879, 54387, 51141, 59758, 50865, 51217, 51377, 50456, 50877, 51554, 50289, 63572, 50820, 57190, 51158, 51205, 53090, 58748, 52536, 52745, 52311, 51614, 51551, 51944, 51356, 51440, 51336, 51808, 52282, 51669, 51356, 51791, 51894, 50856, 53336, 50989, 70732, 52151, 56248, 51060, 51042, 52069, 50432, 50989, 51141, 50848, 51486, 50436, 51107, 77307, 52745, 50882, 51614, 53563, 50965, 50887, 52435, 50895, 51660, 52990, 57335, 51488, 51047, 57190, 51060, 58748, 51358, 51614, 52195, 51944, 51472, 51791, 51894, 50856, 56051, 50989, 50938, 51506, 51391, 62144, 72357, 51803, 76567, 70902, 51358, 50437, 51357, 60610, 51440, 54811, 50989, 50807, 51069, 51364, 50450, 51506, 53697, 50456, 51042, 51753, 50856, 50846, 55331, 50800, 61262, 51036, 73602, 52500, 53722, 53241, 51614, 51358, 51660, 51685, 51944, 52282, 51440, 51933, 51491, 52121, 66598, 51696, 50856, 56621, 57213, 51506, 51714, 60718, 65761, 51486, 63975, 54474, 51591, 66836, 63322, 51028, 65458, 50973, 56473, 52881, 50965, 78886, 50841, 50799, 54387, 51696, 50656, 50284, 51933, 55243, 51585, 51944, 51285, 51440, 51661, 51669, 52195, 61153, 51991, 50856, 54892, 51506, 51351, 62810, 73576, 50965, 54474, 51364, 50438, 50965, 51158, 51808, 54989, 51506, 51419, 50446, 50902, 55149, 50946, 51400, 50454, 51028, 64713, 71812, 50856, 50841, 57844, 51364, 51069, 51036, 56090, 51933, 52806, 52266, 51660, 51541, 51440, 51573, 52361, 51226, 51301, 52121, 51688, 52379, 50856, 56621, 51217, 52069, 62810, 51662, 63174, 51623, 51017, 51591, 62132, 52738, 50856, 50828, 53285, 50795, 56090, 50893, 52806, 50806, 51440, 50879, 52361, 51388, 51688, 70620, 53006, 51362, 50856, 56051, 51205, 50938, 58748, 50879, 52745, 50879, 51808, 50911, 51669, 50936, 51791, 57172, 56255, 52992 ]
[ 0, 250, 20902, 8, 15352, 30054, 5175, 3495, 2214, 4246, 2724, 368, 31365, 25999, 6, 3459, 8669, 6, 18558, 6, 13305, 6, 8, 38668, 3038, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 20425, 12447, 1001, 20889, 4, 20, 17627, 17274, 8859, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 272, 6, 3676, 6, 230, 6, 8, 211, 6, 2351, 10, 33558, 8, 2365, 12, 6928, 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 ]	[ 58402, 53788, 50938, 51915, 50938, 62581, 50858, 52394, 50812, 55699, 51945, 52679, 51717, 52041, 51717, 59784, 51179, 67444, 53784, 58235, 51536, 50855, 53327, 51239, 59094, 52395, 53901, 53145, 50836, 53481, 50933, 51068, 51139, 57334, 75958, 50827, 68337, 52658, 51098, 50917, 52395, 50839, 54117, 50917, 53481, 51008, 75958, 50933, 68337, 50874, 50717, 50287, 50890, 54512, 53887, 55280, 50437, 53625, 51685, 50438, 51536, 52611, 51924, 51896, 66951, 53239, 51098, 50854, 52395, 50820, 54117, 50854, 50717, 50287, 50800, 54512, 54806, 51239, 52725, 51150, 50854, 53145, 50857, 51915, 50854, 75958, 50897, 68337, 50897, 53481, 50854, 62581, 50809, 52394, 64154, 51041, 52738, 51668, 50897, 51536, 50839, 53180, 50897, 72845, 50813, 54727, 52784, 53966, 51239, 50839, 54389, 50865, 51355, 50828, 52331, 50865, 65828, 50859, 53880, 50854, 54445, 52122, 64863, 54131, 58100, 51924, 51238, 50420, 53625, 51379, 69030, 57466, 51355, 50829, 53327, 51187, 61159, 51536, 53906, 52395, 50818, 53481, 50854, 50652, 50349, 50833, 68337, 57446, 51392, 57881, 51924, 50806, 53625, 55214, 51493, 50942, 51536, 50846, 55704, 50942, 50652, 50349, 51008, 68337, 50827, 50717, 50284, 50887, 59887, 50840, 75194, 72090, 53481, 51123, 50437, 53625, 72328, 69660, 51924, 51364, 65906, 53239, 51493, 50822, 51536, 50828, 55704, 50822, 59887, 50862, 50717, 50284, 51420, 53966, 57868, 53880, 54276, 51216, 50955, 52395, 50836, 52331, 50955, 50652, 50349, 50910, 68337, 50897, 53481, 50833, 65828, 58029, 51139, 58014, 54512, 52863, 51098, 50955, 51355, 50839, 54117, 50955, 51334, 50942, 50717, 50287, 50808, 52380, 52090, 53784, 51044, 50839, 53202, 50805, 51262, 50825, 53760, 50805, 74815, 73871, 50808, 56478, 50833, 52833, 51173, 51783, 51353, 54161, 53852, 53223, 51334, 52536, 69030, 57987, 52380, 51605, 50422, 78483, 51510, 54499, 58423, 51355, 54156, 51536, 50820, 53481, 50833, 72570, 50833, 50652, 50349, 64154, 51130, 56999, 62581, 50800, 52394, 53911, 51150, 50812, 51355, 50828, 51915, 50812, 72570, 50810, 50652, 50349, 50942, 53481, 50874, 72711, 53442, 51262, 51406, 53618, 53041, 51150, 50942, 51355, 50829, 51915, 50942, 52394, 50855, 62581, 54047, 51139, 59596, 53880, 53938, 51216, 50810, 51536, 50839, 52331, 50810, 50652, 50349, 50942, 72570, 50822, 53481, 50886, 65828, 53984, 51130, 53268, 51140, 50851, 70307, 53760, 50851, 73871, 50800, 56478, 53197, 54617, 51239, 55971, 51924, 51060, 53458, 69154, 50820, 54117, 50917, 54512, 50854, 53625, 51235, 52123, 51243, 51555, 51151, 51902, 51151, 53804, 53784, 57829, 50717, 50287, 50859, 51039, 53966, 60170, 51250, 50857, 51390, 51933, 53327, 51041, 60955, 51780, 50859, 52833, 52266, 50425, 50652, 50351, 50812, 75958, 50844, 59150, 57629, 51630, 57621, 51139, 52667, 51098, 50925, 51780, 50809, 54117, 50925, 50652, 50351, 50925, 75958, 51008, 59150, 50810, 54512, 50840, 50717, 50287, 53474, 51041, 53219, 64863, 52616, 51098, 50808, 51780, 50862, 54117, 50808, 50717, 50287, 50858, 54512, 51373, 53966, 61925, 50652, 50351, 50897, 59150, 50942, 75958, 58332, 51216, 50942, 51630, 50836, 52331, 50942, 65828, 50800, 53880, 58107, 51392, 58014, 54727, 52863, 72942, 51780, 50839, 53180, 50830, 72845, 52589, 51406, 52572, 50846, 53788, 50938, 51536, 50820, 51915, 50938, 62581, 50858, 52394, 50812, 55699, 51945, 52679, 51717, 52041, 51717, 59784, 51179, 52981, 51536, 50862, 69030, 58235, 52395, 50854, 53327, 51239, 59094, 53145, 54156, 57463, 50870, 51924, 52536, 53481, 50933, 53625, 52266, 51068, 51139, 57334, 75958, 50827, 68337, 52658, 51098, 50917, 52395, 50862, 54117, 50917, 53481, 51008, 75958, 50933, 68337, 50874, 50717, 50287, 50890, 54512, 53887, 51044, 52565, 51536, 51437, 53618, 53239, 51098, 50854, 52395, 50841, 54117, 50854, 50717, 50287, 50800, 54512, 54806, 51239, 52725, 51150, 50854, 53145, 50862, 51915, 50854, 75958, 50897, 68337, 50897, 53481, 50854, 62581, 50809, 52394, 64154, 51041, 52738, 51668, 50897, 51536, 50839, 53180, 50897, 72845, 50813, 54727, 52784, 53966, 51239, 50839, 54389, 50865, 51355, 50863, 52331, 50865, 65828, 50859, 53880, 50854, 54445, 52122, 64863, 54131, 58100, 53625, 51235, 50420, 51924, 51110, 69030, 57466, 51355, 50941, 53327, 51187, 61159, 51536, 53901, 52395, 50840, 53481, 50854, 50652, 50349, 50833, 68337, 57446, 51392, 54694, 53625, 50806, 50430, 51924, 55214, 51493, 50942, 51536, 50839, 55704, 50942, 50652, 50349, 51008, 68337, 50827, 50717, 50284, 50887, 59887, 50840, 75194, 72090, 53481, 51123, 50437, 51924, 51189, 53625, 51343, 50438, 51355, 51464, 54200, 53239, 51493, 50822, 51536, 50820, 55704, 50822, 59887, 50862, 50717, 50284, 51420, 53966, 57868, 53880, 54276, 51216, 50955, 52395, 50839, 52331, 50955, 50652, 50349, 50910, 68337, 50897, 53481, 50833, 65828, 58029, 51139, 58014, 51334, 50849, 54512, 52863, 51098, 50955, 51355, 50867, 54117, 50955, 50717, 50287, 50808, 52380, 54523, 53784, 51044, 50839, 53202, 50805, 51262, 50834, 53760, 50805, 51390, 51167, 73871, 50808, 56478, 50833, 52833, 51173, 51783, 51353, 54161, 53852, 63059, 53784, 57987, 51334, 51605, 52380, 52536, 50422, 51262, 50810, 51510, 54499, 58423, 51355, 53935, 51536, 50841, 53481, 50833, 72570, 50833, 50652, 50349, 64154, 51130, 56999, 62581, 50800, 52394, 53911, 51150, 50812, 51355, 50841, 51915, 50812, 72570, 50810, 50652, 50349, 50942, 53481, 50874, 72711, 53442, 51262, 52348, 53618, 53041, 51150, 50942, 51355, 50839, 51915, 50942, 52394, 50855, 62581, 54047, 51139, 59596, 53880, 53938, 51216, 50810, 51536, 50834, 52331, 50810, 50652, 50349, 50942, 72570, 50822, 53481, 50886, 65828, 53984, 51130, 53268, 51140, 50851, 51262, 50829, 53760, 50851, 73871, 50800, 56478, 53197, 54617, 51239, 55971, 51924, 51158, 53625, 51167, 53458, 69154, 50839, 54117, 50917, 54512, 50854, 52123, 51243, 51555, 51151, 51902, 51151, 53804, 53784, 57829, 50717, 50287, 54681, 69924, 51390, 51941, 64789, 60683, 52833, 51941, 50422, 51780, 50836, 53327, 51041, 60955, 51630, 59761, 50652, 50351, 50812, 75958, 50844, 59150, 57629, 51068, 51139, 52667, 51098, 50925, 51780, 50887, 54117, 50925, 50652, 50351, 50925, 75958, 51008, 59150, 50810, 54512, 50840, 50717, 50287, 53474, 51041, 53219, 51250, 51750, 53852, 52616, 51098, 50808, 51780, 50836, 54117, 50808, 50717, 50287, 50858, 54512, 51373, 53966, 61925, 50652, 50351, 50897, 59150, 50942, 75958, 58332, 51216, 50942, 51630, 50834, 52331, 50942, 65828, 50800, 53880, 58107, 51392, 58014, 54727, 52863, 72942, 73376, 53180, 50830, 72845, 52589, 51406, 52572, 50846, 53788, 50938, 51536, 50839, 51915, 50938, 56633, 51030, 62581, 50858, 52394, 52972, 54499, 51179, 67444, 53784, 58235, 51536, 50835, 53327, 51239, 59094, 52395, 53901, 53145, 50818, 56633, 50911, 53481, 50362, 51597, 51139, 57334, 75958, 51998, 68337, 53379, 50432, 51098, 50917, 52395, 50841, 54117, 50917, 75958, 51269, 53481, 52101, 68337, 51123, 50717, 50287, 50890, 54512, 53887, 51044, 52565, 51536, 50835, 56633, 50923, 66951, 53239, 51098, 50854, 52395, 50813, 54117, 50854, 50717, 50287, 50800, 54512, 54806, 51239, 58321, 75958, 50810, 53481, 70941, 68337, 53567, 51150, 50854, 53145, 50834, 51915, 50854, 56633, 50911, 62581, 50809, 52394, 64154, 51041, 52738, 51668, 50897, 51536, 50839, 53180, 50897, 72845, 50813, 54727, 52784 ]
[ 0, 250, 239, 12, 18261, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 30587, 29589, 6, 21072, 6, 228, 438, 4781, 2088, 8, 3152, 16976, 6, 8, 10, 31391, 1672, 9590, 6, 70, 8216, 7, 63, 15352, 30054, 8, 14899, 16464, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 1769, 20889, 9, 17445, 13410, 228, 2289, 6, 42, 2214, 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 ]	[ 59626, 50796, 50796, 50796, 53975, 52149, 50796, 50796, 53997, 51241, 51026, 51542, 50432, 51085, 51644, 50299, 54137, 51085, 51734, 50299, 73324, 51085, 54509, 51085, 69324, 50873, 52591, 51085, 71115, 53387, 51026, 50844, 51085, 53913, 51085, 68589, 51918, 51085, 53562, 51085, 64823, 51923, 51085, 50845, 53997, 51351, 51026, 51351, 50432, 51085, 71115, 53264, 51085, 51734, 50299, 73324, 51085, 54509, 51085, 50805, 61795, 52591, 51085, 74682, 53387, 51026, 50844, 51085, 53913, 51085, 72136, 52815, 51085, 55125, 51085, 64823, 51923, 51085, 57353, 63357, 51234, 50859, 53997, 51241, 51026, 51542, 51085, 53601, 51206, 52716, 59939, 51544, 54854, 51085, 51644, 50299, 54137, 51085, 51734, 50299, 73324, 51085, 50905, 53884, 50456, 51085, 50805, 61795, 52591, 51085, 71115, 50845, 51544, 53695, 51026, 50844, 51085, 53913, 51085, 68589, 51918, 51085, 53562, 51085, 64823, 51370, 53875, 51085, 56649, 65315, 51234, 50859, 53997, 51351, 51026, 51351, 51085, 53174, 51206, 50386, 53692, 52716, 52282, 51544, 53695, 51085, 71115, 53264, 51085, 51734, 50299, 73324, 51085, 54265, 62267, 51234, 53820, 51085, 50805, 61795, 51085, 51054, 52591, 51234, 52370, 50292, 74682, 53172, 51214, 54065, 53695, 51026, 50844, 51085, 74389, 56810, 51234, 52370, 50292, 72136, 52815, 51214, 72676, 50901, 51848, 55256, 51234, 51936, 50292, 64823, 52108, 57701, 51324, 51442, 50292, 50901, 50799, 53165, 51689, 50292, 50851, 77383, 51085, 50893, 51340, 52526, 53662, 57711, 53165, 51689, 50292, 50851, 77383, 51085, 50845, 62632, 69754, 53165, 51689, 50292, 50854, 51026, 50854, 51085, 53417, 55714, 53308, 53165, 50833, 51085, 50827, 65113, 51085, 52839, 53574, 52364, 50855, 54614, 52530, 50292, 50827, 65113, 51085, 50879, 51340, 50990, 57138, 51085, 50827, 65113, 51085, 50892, 62632, 51737, 50450, 53165, 51588, 50292, 50854, 51026, 50854, 51085, 53417, 55714, 64848, 55348, 51127, 50456, 51085, 72046, 51458, 50292, 58532, 74726, 69020, 50983, 51001, 50983, 51340, 50990, 51737, 53997, 50879, 51340, 50990, 57711, 51085, 72046, 51519, 50292, 51124, 62632, 69754, 51085, 53417, 55714, 53308, 51214, 67795, 72046, 53021, 53574, 51234, 67795, 71942, 50873, 51340, 50990, 57138, 51214, 51936, 50292, 50892, 62632, 51737, 50450, 51234, 64325, 51458, 50302, 54068, 55714, 52955, 51324, 52370, 50292, 50892, 51340, 50990, 51737, 50799, 53853, 51581, 50292, 50874, 51026, 50874, 51085, 50893, 51340, 50990, 57711, 53853, 51731, 50292, 50874, 51026, 50874, 51085, 50845, 62632, 69754, 53853, 51731, 50292, 50808, 51026, 50808, 51085, 53734, 55714, 53308, 53853, 51731, 50292, 50874, 51026, 50874, 51085, 52839, 59693, 52868, 53813, 52901, 51095, 51085, 50874, 51026, 50874, 51085, 50893, 51340, 50990, 57138, 51085, 50874, 51026, 50874, 51085, 50845, 62632, 51737, 50450, 52868, 50809, 52901, 51605, 51085, 50808, 51026, 50808, 51085, 53734, 55714, 52955, 51085, 71115, 51458, 50292, 58532, 74726, 69020, 50983, 51001, 50983, 51340, 50990, 51737, 53997, 50893, 51340, 50990, 57711, 51085, 74682, 51519, 50292, 51124, 62632, 69754, 51085, 53417, 55714, 53308, 51214, 51442, 50292, 72046, 53021, 53574, 51234, 67795, 71942, 50873, 51340, 50990, 57138, 51214, 51442, 50292, 50892, 62632, 51737, 50450, 51234, 50805, 61795, 50997, 52201, 55714, 52955, 51324, 50805, 51085, 50892, 51340, 50990, 51737, 50799, 53165, 50808, 51085, 50827, 65113, 51085, 50806, 51340, 50990, 57711, 53165, 50808, 51085, 50827, 65113, 51085, 50901, 62632, 69754, 54614, 50805, 51085, 50812, 51026, 50812, 51085, 51575, 55714, 53308, 53165, 50808, 51085, 50827, 65113, 51085, 54042, 59693, 53408, 53813, 52842, 51116, 51085, 50827, 65113, 51085, 50806, 51340, 50990, 57138, 51085, 50827, 65113, 51085, 50901, 62632, 51737, 50450, 54614, 51358, 51085, 50808, 51026, 50808, 51085, 51575, 55714, 52955, 51085, 74682, 51458, 50292, 58532, 74726, 69020, 50983, 51001, 50983, 51340, 50990, 51737, 53997, 50806, 51340, 50990, 57711, 51085, 74682, 51519, 50292, 51124, 62632, 69754, 51085, 51575, 55714, 53308, 51214, 67795, 72046, 53021, 53574, 51234, 51519, 50292, 71942, 50873, 51340, 50990, 57138, 51214, 67795, 50892, 62632, 51737, 50450, 52277, 51111, 51234, 67899, 51458, 50302, 71162, 55714, 52955, 53853, 50805, 51324, 51936, 50292, 50892, 51340, 50990, 51737, 50461, 52789, 50840, 52868, 50840, 50799, 52901, 51346, 56462, 51346, 51085, 50827, 65113, 51085, 50806, 51340, 50990, 57711, 51085, 50827, 65113, 51085, 50901, 62632, 69754, 52868, 50840, 52789, 50840, 52901, 51095, 56462, 51095, 51085, 50808, 51026, 50808, 51085, 51575, 55714, 53308, 51085, 50827, 65113, 51085, 54042, 59693, 53408, 53813, 52842, 51519, 50292, 50827, 65113, 51085, 50806, 51340, 50990, 57138, 51085, 50827, 65113, 51085, 50901, 62632, 51737, 50446, 54614, 53259, 50450, 51085, 67027, 69259, 51575, 55714, 52955, 51085, 74682, 51458, 50292, 58532, 74726, 69020, 50983, 51001, 50983, 51340, 50990, 51737, 53997, 50806, 51340, 50990, 51022, 56978, 50812, 51085, 51514, 50292, 51124, 62632, 69754, 51085, 51575, 55714, 53308, 51214, 67795, 72046, 53021, 53574, 51234, 67795, 71942, 50873, 51340, 50990, 57138, 51214, 50805, 51085, 50892, 62632, 51737, 50450, 51234, 67860, 51458, 50302, 71162, 55714, 52955, 51324, 51936, 50292, 50892, 51340, 50990, 51737, 61504, 51442, 50295, 51490, 51026, 51490, 50997, 51490, 51001, 51145, 50951, 51145, 51081, 51145, 50852, 75454, 65234, 55146, 57711, 52046, 54762, 52784, 51737, 50425, 52789, 53855, 56462, 51157, 52046, 56285, 55714, 53308, 52046, 56285, 53574, 55334, 50846, 52789, 50805, 51247, 52370, 50297, 51490, 51027, 51490, 50900, 51490, 50931, 51127, 50999, 51127, 50876, 52821, 50852, 53351, 57138, 52901, 50808, 51247, 54762, 52784, 51737, 50450, 53853, 51157, 51247, 54762, 55714, 52955, 51247, 54762, 53351, 51737, 50461, 52868, 50846, 50799, 52901, 51095, 51085, 50984, 79083, 51085, 70354, 52503, 50951, 51293, 50852, 53351, 57711, 51085, 50984, 79083, 51085, 56285, 52784, 69754, 53853, 50808, 51085, 50812, 51026, 50812, 51085, 56285, 55714, 53308, 51085, 50984, 79083, 51085, 56285, 59890, 53853, 52446, 51085, 50984, 79083, 51085, 56285, 53351, 57138, 52868, 51731, 50292, 50984, 79083, 51085, 56285, 52784, 51737, 50445, 52901, 64712, 51085, 50808, 51026, 50808, 51085, 56285, 55714, 52955, 51085, 50984, 79083, 51085, 56285, 53351, 51737, 55881, 51936, 50295, 51703, 51026, 51703, 50997, 51703, 51001, 51047, 50951, 51047, 51081, 51047, 50852, 50380, 53692, 55146, 57711, 51197, 56285, 52784, 69754, 53853, 50808, 51197, 56285, 55714, 53308, 53853, 50808, 51197, 56285, 59693, 54383, 53442, 52350, 51157, 51247, 51442, 50297, 51703, 51027, 51703, 50900, 51703, 50931, 51183, 50999, 51183, 50876, 53454, 50852, 53351, 57138, 51247, 54762, 52784, 51737, 50450, 52350, 52014, 50285, 54762, 55714, 52955, 52277, 50808, 51247, 54762, 53351, 51737, 50799, 52350, 50808, 51085, 50984, 79083, 51085, 70354, 52503, 50951, 51359, 50852, 53351, 57711, 52277, 51095, 51085, 50984, 79083, 51085, 54762, 52784, 69754, 51085, 50812, 51026, 50812, 51085, 54762, 55714, 53308, 53408, 50846, 51085, 50984, 79083, 51085, 54762, 62089, 52277, 51538, 62275, 50984, 79083, 51085, 54762, 53351, 57138, 51085, 50984, 79083, 51214, 56895, 52784, 51737, 50450, 51085, 50808, 51026, 50808, 51234, 54762 ]
[ 0, 250, 15855, 19834, 2125, 14, 115, 28, 341, 11, 41, 28339, 822, 6, 42, 8787, 15229, 16, 278, 11, 272, 3694, 19, 10, 7212, 132, 73, 306, 20889, 4, 85, 1575, 10, 4066, 30062, 620, 7085, 24943, 217, 26432, 636, 3938, 22052, 6, 10, 6755, 12547, 6, 326, 5638, 34394, 6, 20125, 2580, 6, 8, 1515, 24496, 6, 2351, 41, 9066, 8, 5386, 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 ]	[ 69781, 51038, 51057, 54610, 59771, 54708, 50971, 56343, 50971, 52876, 50904, 54108, 50867, 52278, 50904, 52695, 53383, 54708, 50822, 56343, 50844, 52876, 50854, 54108, 50905, 52278, 51328, 52695, 71895, 57853, 50813, 55008, 50822, 51057, 54610, 62714, 54708, 50941, 56343, 50941, 52876, 50864, 54108, 50864, 52278, 50941, 52695, 53383, 54708, 50857, 56343, 50813, 52876, 50862, 54108, 50892, 52278, 51328, 52695, 71895, 57853, 50822, 55008, 50959, 51057, 56577, 50866, 55308, 51047, 50417, 52635, 54964, 54841, 50941, 56531, 50864, 53410, 50864, 53062, 50933, 51209, 52722, 51579, 50867, 51431, 53868, 54343, 52921, 56577, 50845, 55954, 59910, 54343, 53193, 53410, 50867, 54841, 50825, 56531, 50835, 53062, 51210, 51431, 50864, 51579, 56030, 52635, 51210, 51057, 57853, 50866, 58013, 51242, 56117, 51535, 50420, 54841, 50864, 56511, 50886, 61405, 50864, 51209, 52722, 51686, 50825, 52298, 50867, 51579, 50867, 53039, 65643, 51565, 55470, 51686, 53906, 57853, 50955, 52156, 56274, 51673, 53513, 54841, 50886, 56511, 50867, 61405, 50867, 51886, 50822, 52298, 50867, 51579, 50867, 52697, 50857, 51057, 54610, 55085, 54708, 50971, 56343, 50941, 52876, 50904, 51209, 52722, 54108, 50886, 52278, 50941, 52695, 50867, 53472, 53383, 56343, 50813, 54708, 50857, 52876, 50862, 54108, 50901, 52278, 51242, 52695, 51480, 52650, 52417, 57853, 50810, 55008, 50874, 51057, 54610, 60872, 56343, 50870, 52876, 50837, 54708, 50908, 54108, 50825, 52278, 50908, 52695, 53383, 54708, 50813, 56343, 50862, 52876, 50862, 54108, 50845, 52278, 51277, 52695, 51363, 50429, 51209, 52722, 50432, 57853, 50857, 55008, 51058, 51057, 56577, 50878, 55308, 51047, 50417, 52635, 61378, 54841, 50904, 56531, 50886, 53410, 50867, 53062, 50933, 51431, 50874, 51579, 56133, 54343, 52921, 57853, 50942, 55954, 50955, 50429, 54343, 52658, 54841, 50886, 56531, 50886, 53410, 50857, 53062, 50959, 51431, 50886, 51579, 56579, 52635, 51365, 51057, 56577, 50925, 58013, 51423, 56117, 51448, 50420, 54841, 50864, 56511, 50867, 61405, 50886, 51209, 52722, 51686, 50825, 52298, 50813, 51579, 62846, 51565, 55470, 51686, 53906, 57853, 50833, 52156, 56274, 51673, 53513, 54841, 50835, 56511, 50834, 61405, 50829, 51886, 50822, 52298, 50862, 51579, 50813, 51057, 54610, 60872, 54708, 50891, 56343, 50863, 52876, 50870, 54108, 50886, 52278, 50941, 52695, 53383, 54708, 50813, 56343, 50841, 52876, 50855, 54108, 50892, 52278, 51328, 52695, 51412, 50432, 57853, 50833, 51209, 52722, 55008, 50933, 51057, 54610, 60872, 56343, 50837, 52876, 50867, 54708, 50870, 54108, 50813, 52278, 50864, 52695, 53383, 56343, 50862, 52876, 50855, 54708, 50867, 54108, 50892, 52278, 51242, 52695, 71895, 57853, 50810, 55008, 50822, 51057, 56577, 50942, 55308, 51047, 50417, 55954, 70997, 54841, 50904, 56531, 50825, 53410, 50864, 54343, 50959, 51209, 52722, 51431, 50867, 51579, 54347, 53062, 53450, 56577, 50942, 52635, 51008, 50429, 53062, 52739, 54841, 50835, 56531, 50835, 53410, 50834, 54343, 51008, 51579, 50813, 51431, 56579, 55954, 50844, 51057, 57853, 50878, 58013, 51328, 56117, 51448, 50420, 56511, 50867, 54841, 50864, 61405, 50825, 51686, 50837, 52298, 50813, 51579, 50857, 53039, 60392, 51565, 56037, 51686, 53450, 57853, 50942, 52156, 56274, 51673, 52658, 54841, 50835, 56511, 50834, 61405, 50829, 51886, 50813, 52298, 50862, 51579, 50813, 52697, 50862, 51057, 54610, 62714, 54708, 50891, 56343, 50971, 52876, 50837, 54108, 50867, 52278, 50863, 52695, 50857, 53472, 53935, 54708, 50829, 56343, 50855, 52876, 50855, 51209, 51819, 54108, 50845, 52278, 51328, 52695, 51203, 52650, 53063, 57853, 50854, 51209, 51819, 55008, 50874, 51057, 54610, 50942, 51209, 52254, 50420, 54708, 50891, 56343, 50837, 52876, 50886, 54108, 50813, 52695, 53383, 54708, 50813, 56343, 50862, 52876, 50862, 51209, 52254, 54108, 50845, 52278, 51277, 52695, 51411, 50432, 57853, 50854, 55008, 50822, 51057, 56577, 50878, 55308, 51047, 50417, 55954, 61062, 54841, 50904, 56531, 50886, 53410, 50886, 54343, 50955, 51431, 50822, 51579, 55266, 53062, 53450, 57853, 50854, 52635, 51210, 50429, 53062, 61957, 54841, 50825, 56531, 50829, 53410, 50834, 54343, 50827, 51431, 50867, 51579, 54112, 55954, 50955, 51057, 56577, 50942, 58013, 51312, 56117, 78377, 54841, 50886, 56511, 50834, 61405, 50835, 51686, 50886, 52298, 50867, 51579, 59993, 51565, 55754, 51686, 53450, 57853, 50833, 52156, 55730, 51673, 52658, 54841, 50864, 56511, 50867, 61405, 50886, 51886, 50844, 52298, 50855, 51579, 50862, 51057, 54610, 50925, 50418, 50629, 50420, 56343, 50835, 54708, 50825, 52876, 50825, 53326, 50864, 51830, 50865, 54108, 50886, 52278, 50864, 52695, 54870, 52966, 54708, 50822, 56343, 50854, 52876, 50844, 53326, 51337, 52635, 51058, 52812, 51030, 54108, 51212, 52278, 51328, 52695, 51177, 50832, 58734, 50629, 50432, 57853, 50812, 52860, 50912, 51830, 50806, 55008, 50874, 51057, 54610, 50859, 51322, 56763, 50630, 54708, 50904, 56343, 50904, 52876, 50864, 53326, 50941, 51451, 50830, 54108, 50904, 52278, 50941, 52695, 54870, 52976, 54708, 50810, 56343, 50836, 52876, 50810, 53326, 51337, 52635, 50838, 54108, 50905, 52278, 50838, 52695, 51177, 50832, 58245, 52812, 57356, 57853, 50810, 52860, 50874, 55008, 62886, 79659, 51057, 54610, 50808, 51322, 62340, 54708, 50886, 56343, 50867, 52876, 50867, 53326, 50971, 51451, 50952, 54108, 50886, 52278, 50904, 52695, 54870, 53098, 57853, 50812, 54708, 50844, 56343, 50813, 52876, 50844, 53326, 51337, 52635, 51058, 54108, 51212, 52278, 50972, 52695, 58214, 58245, 52812, 56504, 52860, 50874, 51830, 50897, 55008, 50933, 51057, 57853, 67972, 53008, 51204, 50419, 50629, 50420, 54708, 50857, 56343, 50862, 52876, 50867, 53326, 51142, 51565, 50874, 52278, 55785, 53899, 52979, 50933, 51686, 50874, 52355, 53220, 57853, 50897, 53210, 51008, 52156, 50810, 52824, 56739, 52860, 50878, 51673, 50810, 51784, 54221, 61405, 50844, 54708, 50867, 52876, 50886, 52635, 50822, 51886, 50854, 51900, 55083, 50829, 51057, 54610, 53932, 54708, 50825, 56343, 50886, 52876, 50825, 53326, 50971, 51830, 50865, 54108, 50837, 52278, 50904, 52695, 51909, 52872, 54708, 50813, 56343, 50836, 52876, 50810, 53326, 51203, 52635, 50974, 52812, 50948, 54108, 50905, 52278, 50974, 52695, 51121, 50832, 53196, 57853, 50862, 52860, 50827, 51830, 50893, 55008, 50851, 51057, 54610, 50800, 51322, 62340, 54708, 50864, 56343, 50904, 52876, 50886, 53326, 50904, 51451, 50800, 54108, 50864, 52278, 50904, 52695, 54870, 52872, 54708, 50867, 56343, 50813, 52876, 50813, 53326, 51337, 52635, 51277, 52812, 50937, 54108, 51242, 52278, 50838, 52695, 51177, 50832, 52953, 57853, 50810, 52860, 50874, 51830, 50917, 55008, 50827, 51057, 54610, 50833, 51322, 56179, 54708, 50867, 56343, 50857, 52876, 50857, 57256, 50955, 53326, 50827, 52860, 51269, 51451, 50830, 54108, 50886, 52278, 50827, 52695, 53225, 52670, 57853, 62209, 51912, 57356, 56343, 50813, 54708, 50829, 52876, 50867, 57256, 50959, 53326, 50874, 52860, 50827, 54108, 50822, 52278, 50874, 52695, 54748, 57107, 51451, 50830, 51057, 54610, 62833, 51209, 51661, 50420, 53410, 50867, 54764, 50886, 52876, 50867, 54469, 51058, 53326, 50933, 52860, 51058, 51673, 50874, 55008, 54090, 54316, 51886, 50822, 54108, 54325, 54610, 50808, 52433, 50844, 54246, 56739, 52171, 50874, 52714, 54150, 56631, 50813, 54764 ]
[ 0, 250, 20902, 3495, 3152, 2214, 14, 7630, 6568, 6453, 9, 11098, 8, 10563, 6, 1969, 13, 5, 1619, 191, 50, 2365, 1061, 4, 590, 10, 1769, 20889, 9, 20598, 163, 5683, 11, 204, 73, 306, 86, 6, 5, 33301, 16, 2584, 30, 33704, 5675, 22052, 8, 13305, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 31391, 1672, 9590, 6, 21072, 6, 8, 5627, 16776, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 5, 2214, 1575, 10, 2007, 648, 2375, 33215, 16739, 9, 83, 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 ]	[ 56236, 52013, 54869, 52013, 54498, 52013, 54980, 52013, 56109, 50852, 50857, 50799, 51715, 50990, 50925, 51039, 50844, 51694, 51370, 50892, 51974, 52873, 50844, 51570, 50892, 51180, 53948, 50925, 51899, 51370, 50892, 51453, 53948, 50873, 50799, 51715, 50966, 50925, 51039, 50844, 51544, 55182, 50865, 57376, 50827, 51361, 53948, 50873, 51570, 50844, 51180, 50844, 57376, 50827, 52320, 60077, 51349, 51277, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 51309, 50798, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 50932, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 51006, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 50838, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 53783, 51684, 79202, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 50838, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 62285, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 51172, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 50838, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 51006, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 53783, 51684, 71730, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 50838, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 73783, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 51484, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 50838, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 50827, 51361, 53948, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 50433, 51684, 50838, 51570, 53783, 51684, 61578, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 51309, 50798, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 50932, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 51006, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 51309, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 53783, 51684, 61578, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 51309, 50798, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 50932, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 51006, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 51309, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 53783, 51684, 61578, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 54468, 51283, 51715, 50990, 50925, 63276, 51364, 58185, 51364, 62059, 51364, 51039, 50844, 51694, 51370, 54100, 51349, 67275, 52873, 50844, 63276, 51896, 63910, 51896, 62059, 51896, 51570, 55200, 51349, 50932, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 50838, 51715, 50966, 50873, 54468, 51283, 51715, 50966, 50925, 63276, 51364, 70969, 51364, 58185, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51349, 51283, 51715, 50966, 50873, 63276, 51896, 63910, 51896, 62059, 51896, 51570, 53783, 51349, 51277, 50791, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 57958, 51283, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 73783, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 51484, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 50838, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 50827, 51361, 53948, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 50433, 51684, 50838, 51570, 53783, 51684, 61578, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 51309, 50798, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 50932, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 51006, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 51309, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 53783, 51684, 61578, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 51309, 50798, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 50932, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 51006, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 51309, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 53783, 51684, 61578, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 50799, 51715, 50990, 50925, 63276, 51364, 58185, 51364, 62059, 51364, 50416, 51349, 50932, 51039, 50844, 51694, 51370, 54100, 51349, 53656, 52873, 50844, 63276, 51896, 63910, 51896, 62059, 51896, 51570, 50892, 50443, 51349, 51172, 51180, 53948, 50925, 51899, 51370, 54771, 51349, 50864, 51715, 50966, 50873, 54468, 50932, 51715, 50966, 50925, 63276, 51364, 70969, 51364, 58185, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51349, 50838, 51715, 50966, 50873, 63276, 51896, 63910, 51896, 62059, 51896, 51570, 53783, 51349, 51277, 50791, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 59373, 51283, 51715, 50990, 50925, 70969, 51364, 58185, 51364, 62514, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 67275, 52873, 50844, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 50892, 51180, 54004, 52474, 55974, 51370, 54771, 54423, 50838, 51715, 50966, 50873, 51094, 50299, 51283, 51715, 50966, 50925, 56825, 51364, 59522, 51364, 56591, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 51680, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 50844, 51180, 50844, 57376, 50827, 51899, 51049, 60077, 76381, 50844, 59373, 51283, 51715, 50990, 50925, 70969, 51364, 58185, 51364, 62514, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 67275, 52873, 50844, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 50892, 51180, 54004, 52474, 55974 ]

[ 0, 250, 765, 37903, 9, 20425, 3495, 930, 11, 381, 3694, 6, 4246, 10, 881, 16739, 9, 163, 406, 6, 230, 6, 211, 119, 1176, 406, 6, 3676, 6, 8, 272, 119, 1176, 406, 40286, 6, 278, 11, 41, 18186, 195, 73, 398, 86, 6543, 23, 10, 2635, 1614, 1073, 1020, 20889, 6, 7630, 14805, 10, 3344, 9, 15352, 30054, 6, 1372, 6, 8, 2829, 2933, 6711, 29, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50902, 56624, 50968, 53066, 51062, 54347, 51147, 52654, 51220, 51101, 50435, 50999, 56532, 51146, 60672, 51399, 53524, 56437, 51220, 51101, 50447, 50877, 52843, 50931, 56366, 70806, 51062, 52863, 50968, 51101, 50951, 51101, 52177, 59856, 51147, 54347, 60300, 51430, 52654, 51120, 50810, 50931, 76920, 60713, 51315, 52658, 50900, 50810, 60300, 51062, 54112, 51176, 50810, 61196, 51220, 52729, 51086, 51101, 50968, 51101, 50999, 51101, 50447, 51027, 65140, 77498, 64225, 51315, 50810, 59856, 50951, 52863, 51050, 51025, 50968, 51025, 50999, 51025, 52591, 51027, 51101, 50931, 51101, 51062, 51101, 50429, 51026, 51665, 50322, 51665, 50327, 57815, 51315, 50810, 59856, 50951, 52729, 51279, 51134, 76417, 50968, 51134, 50456, 51279, 73612, 51134, 50951, 54678, 51315, 50810, 68829, 52323, 51279, 51665, 50333, 55085, 51086, 51665, 50329, 54278, 51085, 51665, 50332, 51134, 71341, 54014, 50900, 68839, 73779, 51279, 76920, 50866, 52323, 51315, 55085, 51120, 62245, 51134, 51062, 54278, 51360, 62245, 51134, 51399, 51134, 50432, 51050, 54014, 51360, 55040, 50871, 62839, 51134, 52128, 50866, 52323, 50956, 51665, 50334, 50866, 53502, 51665, 50333, 50866, 53645, 67181, 51025, 51787, 66312, 51040, 54014, 51050, 62245, 60182, 51360, 50866, 52323, 51050, 78054, 51115, 51787, 50866, 53502, 51665, 50336, 54278, 51050, 77498, 53961, 51085, 51665, 50331, 54014, 51050, 59437, 51115, 50999, 51025, 55513, 50866, 52323, 50916, 65140, 51025, 55902, 50866, 53523, 68839, 51115, 50999, 59102, 51050, 54014, 50916, 76920, 60182, 51027, 50866, 52323, 50871, 62245, 51025, 51430, 51025, 56945, 54278, 51026, 53961, 51027, 54014, 50871, 55040, 51040, 50866, 51540, 50861, 61434, 51134, 57340, 54278, 50931, 53961, 50916, 78054, 54014, 50916, 69215, 51134, 50951, 55040, 50956, 66986, 54356, 50899, 51665, 50333, 54752, 50900, 65524, 51665, 50329, 50866, 50462, 51120, 51134, 50931, 51134, 51430, 51134, 50480, 51120, 65140, 76920, 50866, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 17627, 17274, 5175, 8, 3495, 2214, 6, 278, 11, 163, 3694, 19, 10, 112, 73, 306, 86, 6543, 6, 1931, 21683, 11098, 8, 10563, 4, 20, 3741, 27374, 594, 8, 38668, 2236, 483, 5, 33301, 6, 2800, 30, 3459, 8669, 6, 9590, 6, 8, 10, 11577, 20535, 2810, 4, 590, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 6, 5, 1349, 1575, 10, 33215, 16739, 9, 163, 119, 6, 83, 6, 272, 6, 8, 83, 401, 6, 2351, 41, 11653, 8, 15352, 30054, 5466, 1969, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 52552, 50631, 50420, 51587, 53910, 51587, 50813, 50799, 51924, 53840, 55085, 62133, 50866, 52433, 51824, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 51470, 50798, 53961, 54981, 50866, 52156, 51470, 52004, 50866, 51587, 54350, 51587, 52781, 53074, 51101, 51565, 52063, 51924, 59486, 55040, 51587, 54417, 53385, 50866, 51789, 51470, 51587, 52800, 50798, 64225, 53385, 50813, 51789, 59593, 53074, 50866, 51565, 51470, 51390, 71124, 54655, 51390, 71124, 50813, 50799, 51924, 53840, 55085, 62133, 50866, 52433, 51470, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 51470, 50798, 53961, 54981, 50866, 52156, 51470, 52004, 50866, 51587, 54350, 51587, 52781, 64974, 51101, 52367, 52063, 51924, 59486, 55040, 51587, 54417, 50658, 50337, 50866, 53297, 51470, 51587, 52800, 50798, 64225, 53385, 50813, 51789, 55835, 53074, 50866, 51565, 51376, 51390, 50866, 51587, 54655, 51587, 50813, 50799, 51924, 53840, 55085, 62133, 50866, 52433, 51376, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 51376, 50798, 53961, 54981, 50866, 52156, 51376, 52004, 50866, 51587, 54350, 51587, 52781, 53074, 51101, 51565, 51884, 51924, 59486, 55040, 51587, 54417, 53385, 50866, 51789, 51376, 51587, 52800, 54338, 59401, 64225, 53385, 50813, 51789, 55835, 53074, 50866, 51565, 51376, 51390, 71124, 54655, 51390, 71124, 50813, 50799, 51924, 53840, 55085, 62133, 50866, 52433, 51376, 51587, 53910, 52294, 50813, 51924, 71124, 52524, 55358, 50866, 51886, 51376, 50798, 53961, 54981, 50866, 51854, 50866, 52156, 51376, 52004, 50866, 51587, 54350, 51587, 52781, 64974, 51101, 51288, 50866, 52367, 51753, 51924, 59486, 55040, 51211, 51025, 51587, 54417, 50658, 50337, 50866, 53297, 51254, 51587, 52800, 50798, 64225, 53385, 50813, 51789, 55293, 53074, 76294, 51565, 51254, 51390, 50866, 51587, 54655, 51587, 50813, 50799, 51219, 53295, 51924, 50866, 53621, 53295, 50798, 55085, 62133, 50866, 52433, 51254, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 73715, 53961, 54981, 50866, 52156, 51254, 52004, 50866, 51587, 54350, 51587, 52781, 53074, 51101, 51565, 51753, 51924, 59486, 55040, 51587, 54417, 53385, 50866, 51789, 51254, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 55293, 53074, 50866, 51565, 51254, 51390, 71124, 54655, 51390, 71124, 50813, 50799, 51924, 53840, 55085, 62133, 50866, 52433, 51174, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 68870, 53961, 54981, 50866, 52156, 51174, 52004, 50866, 51587, 54350, 51587, 52781, 64974, 51101, 52367, 51481, 51924, 59486, 55040, 51587, 54417, 50658, 50337, 50866, 53297, 51174, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 55735, 53074, 50866, 51565, 51174, 51390, 50866, 51587, 54655, 51587, 50813, 50799, 51143, 51422, 51924, 50866, 52241, 71382, 55085, 62133, 50866, 52433, 51174, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 68870, 53961, 54981, 50866, 52156, 51174, 52004, 50866, 51587, 54350, 51587, 52781, 53074, 51101, 51565, 51481, 51924, 59486, 55040, 51587, 54417, 53385, 50866, 51789, 51006, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 54232, 53074, 50866, 51565, 51006, 51390, 71124, 54655, 51390, 71124, 50813, 72354, 51422, 51924, 50866, 52607, 71382, 55085, 62133, 50866, 52433, 51006, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 62314, 53961, 54981, 50866, 52156, 51006, 52004, 50866, 51587, 54350, 51587, 52781, 64974, 51101, 52367, 51277, 51924, 59486, 55040, 51587, 54417, 50658, 50337, 50866, 53297, 51006, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 54232, 53074, 50866, 51565, 51006, 51390, 50866, 51587, 50813, 52198, 71124, 50813, 50799, 51211, 51025, 51854, 51025, 52294, 51025, 51924, 50866, 53621, 59486, 55085, 62133, 50866, 52433, 50866, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51529, 51025, 51288, 51025, 51622, 51025, 51886, 50866, 52607, 57765, 53961, 54981, 50866, 52156, 50866, 52004, 50866, 51587, 54350, 51587, 52781, 53074, 51101, 51211, 51025, 51854, 51025, 52294, 51025, 51565, 51101, 51924, 51025, 53621, 59401, 55040, 51587, 54417, 53385, 50866, 51789, 50866, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 53211, 53074, 50866, 51565, 50866, 51390, 71124, 54655, 51390, 71124, 50813, 50799, 51924, 50866, 52607, 71382, 55085, 62133, 50866, 52433, 50866, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 54420, 53961, 54981, 50866, 52156, 50866, 52004, 50866, 51587, 54350, 51587, 52781, 64974, 51101, 52367, 51101, 51924, 59486, 55040, 51587, 54417, 50658, 50337, 50866, 53297, 50866, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 53211, 53074, 50866, 51565, 50866, 51390, 50866, 51587, 54655, 51587, 50813, 50799, 51219, 51025, 51211, 51025, 51634, 51025, 51924, 50866, 52241, 59486, 55085, 62133, 50866, 52433, 50866, 51587, 53910, 51924, 71124, 52524, 55358, 68746, 51025, 51529, 51025, 51854, 51025, 51886, 50866, 53204, 57765, 53961, 54981, 50866, 52156, 50866, 52004, 50866, 51587, 54350, 51587, 52781, 53074, 51101, 51219, 51025, 51211, 51025, 51634, 51025, 51565, 51101, 51924, 51025, 52241, 59401, 55040, 51587, 54417, 53385, 50866, 51789, 50866, 51587, 50813, 51382, 64225, 53385, 50813, 51789, 53211, 53074, 50866, 51565, 50866, 51390, 71124, 54655, 51390, 71124, 50813, 50799, 51529, 51115, 51288, 51115, 51622, 51115, 51924, 50866, 52607, 59401, 55085, 62133, 50866, 52433, 50866, 51587, 53910, 51924, 71124, 52524, 55358, 50866, 51886, 54420, 53961, 54981, 50866, 52156, 50866, 52004, 50866, 51587, 54350, 51587, 52781, 64974, 50866, 52367, 53840, 51025, 50441, 55227, 50813, 59665, 51322, 50813, 52607, 53524, 56165, 66111, 50813, 51366, 50813, 53621, 54417, 60229, 50813, 66566, 51547, 50813, 57003, 52800, 53874, 50813, 51211, 50813, 51209, 50813, 53973, 53352, 51101, 50453, 60229, 50813, 66566, 51547, 50813, 57003, 53211, 55227, 50813, 59665, 51322, 50813, 52607, 54655, 56165, 51397, 51219, 51397, 51366, 51397, 53621, 51397, 50770, 50306, 51397, 74560, 51397, 50804, 50813, 61627, 55532, 51025, 51219, 51025, 51211, 51025, 51634, 51025, 51673, 51025, 51366, 51025, 51209, 51025, 51334, 51025, 52241, 59486, 57765, 51025, 51335, 57554, 55227, 51025, 51529, 51025, 51288, 51025, 51634, 51025, 51886, 51025, 51547, 51025, 51229, 51025, 51334, 51025, 52607, 59486, 57765, 51025, 51335, 51025, 50799, 56547, 51025, 56165, 51151, 53621, 59486, 55085, 51209, 50866, 51590, 50866, 51924, 55377, 50426, 56547, 50866, 53621, 57765, 53961, 56547, 77647, 50866, 51590, 50866, 51924, 55377, 50438, 53621, 61525, 60844, 51209, 50866, 51590, 50866, 51924, 50866, 51180, 59957, 51209, 50813, 51590, 50813, 51924, 50813, 53621, 54356, 56547, 77647, 50813, 51590, 50813, 51924, 53352, 64225, 51209, 50813, 51590, 50813, 51924, 50813, 53621, 53211, 64093, 77647, 50866, 51590, 50866, 51924, 50866, 52607, 55377, 50799, 55693, 51025, 56165, 51151, 53621, 59486, 55085, 51209, 50866, 51590, 50866, 51924, 55377, 50426, 55693, 50866, 53621, 57765, 53961, 55693, 77647, 50866, 51590, 50866, 51924, 55377, 50438, 53621, 61525, 60844, 51209, 50866, 51590, 50866, 51924, 50866, 51180, 59957, 51209, 50813, 51590, 50813, 51924, 50813, 53621, 54356, 55775, 77647, 50813, 51590, 50813, 51924, 53352, 64225, 51209, 50813, 51590, 50813, 51924, 50813, 53621, 53211, 55693, 77647, 50866, 51590, 50866, 51924 ]

[ 0, 713, 14899, 5175, 2214, 6, 30291, 19, 3495, 4785, 6, 22750, 1626, 11098, 8, 33558, 1007, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 5, 2216, 11739, 9, 2003, 38704, 31365, 25999, 6, 486, 118, 9877, 6, 8, 3459, 29589, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 20902, 12447, 1001, 20889, 6, 24, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 272, 6, 211, 6, 8, 230, 119, 1176, 406, 3639, 7, 63, 33928, 8, 15352, 30054, 2868, 6, 442, 24, 10, 1969, 2564, 13, 5, 12298, 1619, 191, 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 ]

[ 57739, 50796, 52534, 50910, 51869, 50978, 51232, 50972, 51099, 50972, 51153, 51212, 51489, 51480, 51403, 51481, 51810, 51481, 53477, 51328, 51915, 50844, 56187, 53197, 51373, 65023, 51869, 50912, 51232, 51123, 51099, 50851, 51403, 50870, 51810, 50941, 53477, 50904, 51368, 50822, 55291, 53881, 73255, 52533, 50987, 51232, 50972, 51099, 50838, 51153, 52059, 51489, 51277, 51403, 51481, 51810, 50827, 53477, 50959, 51726, 50933, 58166, 54384, 51373, 73418, 51810, 50851, 53477, 68163, 51708, 50933, 51232, 51123, 51099, 50827, 51489, 51108, 51403, 50827, 53477, 50851, 51810, 50851, 51265, 50907, 56293, 55234, 54077, 50953, 50942, 51869, 50977, 51232, 51254, 51099, 51074, 51153, 51337, 51403, 50912, 53477, 51423, 51810, 50851, 73579, 55291, 52784, 53111, 50844, 50442, 51403, 50827, 51810, 50984, 50446, 51869, 50955, 51232, 51269, 51099, 50827, 51403, 50907, 51810, 50907, 53477, 50851, 51368, 50874, 55291, 54823, 51019, 50812, 52533, 51254, 51232, 51376, 51099, 51277, 51153, 51309, 51489, 51642, 51403, 50912, 51810, 52063, 53477, 50874, 51726, 50874, 58166, 55182, 51373, 71820, 51403, 52063, 53477, 65241, 50953, 50813, 51708, 50874, 51232, 51022, 51099, 50827, 53477, 50874, 51810, 51022, 51368, 50874, 55291, 54784, 50835, 52534, 50808, 51869, 50978, 51232, 51470, 51099, 51797, 51153, 51212, 51489, 51753, 51403, 51481, 51810, 50851, 53477, 51212, 51915, 50874, 56187, 53835, 55316, 79604, 51810, 65173, 51869, 50844, 51232, 50912, 51153, 50827, 51403, 50870, 51810, 50941, 53477, 50904, 51368, 50822, 55291, 54325, 73255, 52533, 50978, 51232, 51432, 51099, 51884, 51153, 51337, 51489, 51852, 51403, 51481, 51810, 50827, 53477, 50959, 51726, 50874, 58166, 55742, 56619, 50430, 51810, 50851, 53477, 68163, 51708, 50851, 51232, 50827, 51403, 50827, 53477, 50851, 51810, 50851, 51265, 50851, 56293, 54784, 52621, 65344, 51869, 50955, 51232, 51824, 51099, 52048, 51153, 51328, 51489, 51079, 51403, 50912, 53477, 51423, 51810, 50851, 73443, 55291, 52923, 51464, 60696, 51403, 50827, 51810, 50984, 50446, 51869, 50822, 51232, 50912, 51153, 51542, 51403, 50907, 51810, 50907, 53477, 50851, 51368, 50874, 55291, 55514, 51019, 50812, 51708, 50892, 51232, 51074, 51099, 53096, 51489, 51852, 51403, 50912, 51810, 52063, 53477, 50874, 51726, 50851, 58166, 54494, 51559, 65732, 51403, 52063, 53477, 65241, 50953, 50862, 51708, 50827, 51232, 51210, 53477, 50874, 51810, 51022, 51368, 50912, 55291, 63054, 50835, 52534, 50910, 51869, 50978, 51232, 50972, 51099, 50972, 51153, 51212, 51489, 51480, 51403, 51481, 51810, 50851, 53477, 51212, 51915, 50822, 56187, 52784, 51373, 50959, 50418, 51810, 65173, 51869, 50912, 51232, 51123, 51099, 50851, 51403, 50870, 51810, 50941, 53477, 50904, 51368, 50874, 55291, 52580, 73255, 52533, 50955, 51232, 50972, 51099, 50838, 51153, 52059, 51489, 51277, 51403, 51481, 51810, 50827, 53477, 50959, 51726, 50851, 58166, 54384, 51373, 73418, 51810, 50851, 53477, 68163, 51708, 50933, 51232, 51123, 51099, 50827, 51489, 51108, 51403, 50827, 53477, 50851, 51810, 50851, 51265, 50971, 56293, 52923, 54077, 50953, 50942, 51869, 50942, 51232, 51254, 51099, 51074, 51153, 51337, 51403, 50912, 53477, 51423, 51810, 50851, 73579, 55291, 54923, 53111, 50844, 50442, 51403, 50827, 51810, 50984, 50446, 51869, 50955, 51232, 51269, 51099, 50827, 51403, 50907, 51810, 50907, 53477, 50851, 51368, 50822, 55291, 54004, 51019, 50812, 52533, 51142, 51232, 51376, 51099, 51277, 51153, 51309, 51489, 51642, 51403, 50912, 51810, 52063, 53477, 50874, 51726, 51210, 58166, 56758, 51373, 71820, 51403, 52063, 53477, 65241, 50953, 50857, 51708, 50874, 51232, 51022, 51099, 50827, 53477, 50874, 51810, 51022, 51368, 50874, 55291, 56104, 50835, 52534, 50808, 51869, 50978, 51232, 51470, 51099, 51797, 51153, 51212, 51489, 51753, 51403, 51481, 51810, 50851, 53477, 51212, 51915, 50827, 56187, 53948, 55316, 79604, 51810, 65173, 51869, 50844, 51232, 50912, 51153, 50827, 51403, 50870, 51810, 50941, 53477, 50904, 51368, 50822, 55291, 52580, 73255, 52533, 50959, 51232, 51432, 51099, 51884, 51153, 51337, 51489, 51852, 51403, 51481, 51810, 50827, 53477, 50959, 51265, 50827, 58166, 55182, 56619, 50430, 51810, 50851, 53477, 68163, 51708, 50851, 51232, 50827, 51403, 50827, 53477, 50851, 51810, 50851, 51265, 50851, 56293, 56935, 52621, 65344, 51869, 50987, 51232, 51824, 51099, 52048, 51153, 51328, 51489, 51079, 51403, 50912, 53477, 51423, 51810, 50851, 73579, 55291, 52784, 55033, 50844, 50442, 51403, 50827, 51810, 50984, 50446, 51869, 50822, 51232, 50912, 51153, 51542, 51403, 50907, 51810, 50907, 53477, 50851, 51368, 50874, 55291, 61185, 54915, 51019, 50812, 51708, 50955, 51232, 51074, 51099, 53096, 51489, 51852, 51403, 50912, 51810, 52063, 53477, 50874, 51726, 50827, 58166, 55182, 51559, 65732, 51403, 52063, 53477, 56758, 62309, 50953, 50862, 51708, 50827, 51232, 51210, 53477, 50874, 51810, 51022, 51368, 50864, 55291, 54784, 55164, 50837, 50799, 53048, 50911, 75650, 51869, 50978, 51232, 50972, 51099, 50972, 51153, 51212, 51489, 51480, 51092, 50972, 51403, 51166, 53477, 51269, 51915, 50827, 56187, 50376, 52526, 53983, 64039, 53477, 64560, 53048, 50809, 51869, 50912, 51232, 51123, 51099, 50851, 51092, 50907, 53477, 51269, 51726, 55070, 53048, 51160, 73255, 52533, 50955, 51232, 50972, 51099, 50838, 51153, 52059, 51489, 51277, 53477, 51269, 51092, 51376, 51403, 51376, 51810, 51365, 51915, 61185, 51373, 73418, 53477, 63163, 52869, 50980, 51708, 50933, 51232, 51123, 51099, 50827, 51489, 51108, 53477, 50851, 51368, 53970, 54077, 70431, 51869, 50942, 51232, 51254, 51099, 51074, 51153, 51337, 53477, 50907, 51403, 51074, 51265, 56104, 53111, 50844, 50442, 53477, 71095, 52869, 51566, 51869, 50955, 51232, 51269, 51099, 50827, 51092, 50907, 53477, 51269, 51368, 53140, 51011, 50897, 52533, 51254, 51232, 51376, 51099, 51277, 51153, 51309, 51489, 51642, 53477, 51269, 51092, 51824, 51403, 50972, 51810, 51074, 51726, 56485, 51373, 71820, 53477, 50984, 50458, 53048, 50830, 51708, 50874, 51232, 51022, 51099, 50827, 53477, 50907, 51810, 50984, 51368, 54902, 50835, 50799, 53446, 50911, 51443, 50977, 52176, 50978, 51198, 51470, 51099, 51797, 51429, 51212, 51275, 51753, 53706, 51269, 51208, 50972, 51530, 51166, 51482, 53970, 55316, 79604, 53706, 64560, 53446, 50800, 52176, 50844, 51198, 50912, 51429, 50827, 53706, 51269, 51185, 50907, 51482, 52872, 53446, 51175, 51205, 50897, 52533, 50959, 51198, 51432, 51099, 51884, 51429, 51337, 51275, 51852, 53706, 51269, 51208, 51376, 51185, 51376, 51810, 51365, 51726, 55182, 56619, 50430, 53706, 71484, 52869, 51294, 51205, 50833, 52533, 50851, 51198, 50827, 53706, 50851, 51726, 55234, 52621, 65495, 52176, 50987, 51198, 51824, 51099, 52048, 51429, 51328, 51275, 51079, 53706, 51269, 51810, 51166, 51185, 51074, 51482, 53835, 51464, 60696, 53706, 62407, 52176, 50822, 51198, 50912, 51429, 51542, 51185, 50907, 53706, 51269, 51482, 54385, 77943, 52533, 50987, 51198, 51074, 51099, 53096, 51275, 51852, 53706, 51269, 51208, 51824, 51530, 50972, 51810, 51074, 51726, 55591, 51559, 65732, 53706, 74879, 52176, 50827, 51198, 51210, 53706, 50912, 51810, 50984, 51482, 54902, 50835, 50799, 53048, 50911, 72541, 51869, 50978, 51232, 50972, 51099, 50972, 51153, 51212, 51489, 51480, 51092, 50972, 51403, 51166, 53477 ]

[ 0, 4688, 9066, 8, 814, 12, 21330, 3152, 8, 5175, 2214, 11, 230, 538, 6, 4246, 10, 2933, 8, 20425, 5466, 19, 15352, 30054, 4785, 4, 85, 11498, 10, 23667, 27841, 139, 20889, 8, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 274, 119, 1176, 406, 8, 3676, 1176, 406, 3639, 7, 5, 2214, 18, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 77629, 51577, 51104, 56191, 50801, 53113, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 50799, 51577, 51104, 56191, 50801, 53113, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 50799, 51577, 51104, 56191, 50801, 53113, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 50799, 51577, 51104, 56191, 50801, 53113, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 52322, 51085, 53558, 54250, 56050, 51085, 53558, 53247, 51085, 53558, 54787, 51085, 53558, 53153, 51085, 53558, 54250, 55982, 51085, 53558, 52935, 51085, 53558, 54863, 51085, 53558, 50821, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 53558, 53072, 59908, 51234, 52935, 51085, 54273, 50806, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 53558, 53072, 59908, 51234, 52935, 51085, 54273, 50806, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 52322, 51085, 53558, 54250, 56050, 51085, 53558, 53247, 51085, 53558, 54787, 50801, 53153, 51085, 53558, 54250, 55982, 51085, 53558, 52935, 51085, 53558, 54863, 50801, 50821, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 53558, 53072, 59908, 51234, 52935, 51085, 54273, 50806, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 50806, 51658, 53072, 52692, 50801, 52610, 50801, 53072, 52931, 50801, 50806, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 53558, 53072, 59908, 51234, 52935, 51085, 54273, 50806, 55547, 50806, 51577, 51104, 56191, 50801, 53113, 51279, 54273, 52247, 51234, 54273, 53072, 52309, 51279, 54273, 50806, 51658, 53072, 52692, 51279, 54273, 52610, 51234, 54273, 53072, 52931, 51279, 54273, 50806, 51755, 53072, 52774, 50801, 52247, 50801, 53072, 52309, 50801, 52322, 51085, 53558, 54250, 56050, 51085, 53558, 53247, 51085, 53558, 54787, 50801, 53153, 51085, 53558, 54250, 50821, 76956, 50806, 51279, 50806, 51315, 50806, 51577, 51104, 56191, 50801, 53113, 53667, 50806, 51279, 50806, 51315, 54273, 54007, 50801, 52422, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 50852, 52692, 53667, 50806, 51279, 50806, 51315, 54273, 52610, 53492, 50806, 51234, 50806, 51050, 71681, 52931, 53667, 50806, 51279, 50806, 51315, 54273, 50806, 57752, 52774, 53667, 50806, 51279, 50806, 51315, 54273, 52247, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 50852, 52692, 53667, 50806, 51279, 50806, 51315, 54273, 52610, 51234, 50821, 51050, 50821, 53492, 71681, 59908, 51234, 50821, 51050, 52935, 52206, 72676, 67899, 54273, 50806, 76956, 50806, 51279, 50806, 51315, 50806, 51577, 51104, 56191, 50801, 53113, 53667, 50806, 51279, 50806, 51315, 54273, 54007, 50801, 52422, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 50852, 52692, 53667, 50806, 51279, 50806, 51315, 54273, 52610, 53492, 50806, 51234, 50806, 51050, 71681, 52931, 53667, 50806, 51279, 50806, 51315, 54273, 50806, 50799, 51577, 51104, 56191, 50801, 53113, 53667, 50806, 51279, 50806, 51315, 54273, 54007, 50801, 52422, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 51234, 50821, 51050, 50821, 53492, 50806, 51577, 51104, 56050, 51234, 50821, 51050, 53558, 53247, 51234, 50821, 51050, 50821, 53492, 54273, 54787, 51234, 50821, 51050, 53558, 53153, 51234, 50821, 51050, 50821, 53492, 50806, 51577, 51104, 55982, 51234, 50821, 51050, 53558, 52935, 51234, 50821, 51050, 50821, 53492, 54273, 54863, 51234, 50821, 51050, 53558, 50821, 76956, 50806, 51279, 50806, 51315, 50806, 51577, 51104, 56191, 50801, 53113, 53667, 50806, 51279, 50806, 51315, 54273, 54007, 50801, 52422, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 50852, 52692, 53667, 50806, 51279, 50806, 51315, 54273, 52610, 53492, 50806, 51234, 50806, 51050, 71681, 52931, 53667, 50806, 51279, 50806, 51315, 54273, 50806, 57752, 52774, 53667, 50806, 51279, 50806, 51315, 54273, 52247, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 50852, 52692, 53667, 50806, 51279, 50806, 51315, 54273, 52610, 51234, 50821, 51050, 50821, 53492, 71681, 59908, 51234, 50821, 51050, 52935, 52206, 72676, 67899, 54273, 50806, 76956, 50806, 51279, 50806, 51315, 50806, 51577, 51104, 56191, 50801, 53113, 53667, 50806, 51279, 50806, 51315, 54273, 54007, 50801, 52422, 53492, 50806, 51234, 50806, 51050, 71681, 52309, 53667, 50806, 51279, 50806, 51315, 54273, 52322, 50852, 52692 ]

[ 0, 250, 29475, 5175, 25771, 2125, 14, 7630, 6568, 10, 1472, 9, 15073, 8, 980, 4, 16241, 212, 18569, 6, 6755, 12547, 6, 5730, 2342, 4467, 6, 1481, 677, 2957, 16940, 6, 8, 17465, 8244, 22778, 35810, 561, 7, 1045, 10, 2635, 6, 15352, 30054, 5797, 990, 1506, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 3136, 23, 10, 182, 1769, 20889, 9, 29576, 13410, 228, 2289, 6, 19, 5, 33215, 16739, 9, 272, 6, 1918, 6, 274, 6, 272, 6, 8, 1918, 8165, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 77629, 50796, 50799, 55443, 75190, 55443, 74388, 55443, 51483, 50446, 55443, 51483, 50454, 55443, 51483, 50799, 55443, 52512, 50438, 54251, 54055, 76501, 55443, 51237, 69188, 51735, 50799, 55443, 51483, 69188, 51483, 50422, 55443, 51483, 69188, 51483, 50430, 55443, 51483, 69188, 51483, 50438, 55443, 51237, 69188, 75044, 55443, 51237, 69188, 51237, 50799, 54251, 53174, 61609, 53174, 50450, 55443, 53174, 69188, 53174, 50796, 50796, 51302, 53294, 50804, 50883, 53526, 53711, 51289, 50846, 54124, 50883, 51528, 51139, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 52105, 52389, 51139, 59311, 51762, 53550, 51041, 57000, 52105, 52320, 60427, 63609, 51528, 51139, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 52105, 52389, 51139, 59311, 51762, 53550, 51041, 57000, 52105, 52320, 60427, 63609, 51528, 51139, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 52105, 52389, 51139, 59311, 51762, 53550, 51041, 57000, 52105, 52320, 60427, 63609, 51528, 51139, 56493, 52261, 51544, 63519, 55409, 51745, 70972, 51745, 50434, 52883, 53116, 54074, 59484, 55443, 51745, 69188, 51745, 59848, 52883, 60427, 69591, 50799, 56154, 51237, 76570, 62461, 60480, 61236, 55443, 51237, 69188, 51237, 52883, 59311, 61767, 55409, 51237, 70972, 51237, 54074, 57000, 59848, 55443, 51237, 69188, 62461, 60427, 63609, 50799, 58551, 51237, 50742, 50337, 51237, 52883, 56493, 64612, 56154, 51237, 76570, 62461, 59871, 52883, 53116, 55443, 51237, 69188, 51237, 54074, 59484, 59848, 56154, 51237, 76570, 51237, 52883, 60427, 69591, 50799, 56154, 53174, 76570, 53174, 50791, 60480, 52105, 52389, 51139, 59311, 51762, 53550, 51041, 57000, 52105, 52320, 60427, 63609, 51528, 51139, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 50799, 55443, 51237, 69188, 62461, 60480, 61236, 56154, 51237, 76570, 51237, 52883, 59311, 61767, 58551, 51237, 50742, 50337, 51237, 54074, 57000, 59848, 56154, 51761, 76570, 75129, 60427, 63609, 51528, 51139, 56493, 64612, 55443, 51237, 69188, 62461, 59871, 52883, 53116, 55443, 51237, 69188, 51237, 54074, 59484, 59848, 55409, 51237, 70972, 51237, 52883, 60427, 69591, 50799, 54251, 51237, 61609, 62461, 60480, 61236, 55443, 51237, 69188, 51237, 52883, 59311, 61767, 55443, 51761, 69188, 51761, 54074, 57000, 52105, 52320, 53685, 55409, 51761, 70972, 51761, 60651, 50829, 51528, 51139, 56493, 64612, 54491, 52379, 59635, 52379, 50791, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 52105, 52389, 51139, 59311, 51762, 53550, 51041, 57000, 52105, 52320, 60427, 63609, 50799, 61406, 52204, 57541, 51449, 58004, 54249, 61514, 54249, 63036, 51449, 51881, 55856, 51656, 55856, 51838, 55856, 52225, 55856, 52036, 55856, 52883, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 61236, 57541, 50972, 52883, 59311, 61767, 58004, 50972, 73038, 51252, 50662, 50349, 50362, 51002, 51041, 59797, 50662, 50349, 52514, 50442, 73159, 51252, 50662, 50347, 52101, 50444, 50662, 50347, 52514, 50446, 67440, 51252, 50662, 50345, 52101, 59848, 63036, 50972, 73159, 51252, 50662, 50347, 69219, 61376, 67440, 51252, 50662, 50345, 52101, 50458, 67092, 51252, 50662, 50344, 50362, 51104, 50829, 50799, 67440, 51252, 50662, 50345, 50362, 50966, 51139, 54639, 63036, 53849, 50418, 67092, 51252, 50662, 50344, 52101, 50422, 60165, 51252, 77174, 52101, 76931, 57541, 54249, 50426, 67092, 51252, 50662, 50344, 69219, 56710, 58004, 54249, 50430, 60165, 51252, 77174, 52101, 50434, 57088, 51252, 65488, 50362, 50966, 51139, 53116, 60165, 51252, 77174, 50362, 51002, 51041, 60547, 57088, 51252, 65488, 52101, 50446, 62811, 51252, 66928, 52101, 59848, 57088, 51252, 65488, 50362, 50966, 51139, 61376, 62811, 51252, 66928, 52101, 50458, 59454, 51252, 61475, 50362, 51104, 50839, 50799, 62811, 51252, 66928, 69219, 64600, 59454, 51252, 61475, 52101, 50422, 55839, 51252, 58605, 52101, 61236, 59454, 51252, 61475, 50362, 50966, 51139, 59971, 55839, 51252, 58605, 52101, 50434, 57016, 51252, 56176, 52101, 61767, 55839, 51252, 58605, 50362, 51002, 51041, 58408, 57016, 51252, 56176, 52101, 50446, 58012, 51252, 56185, 52101, 59848, 57016, 51252, 56176, 69219, 61376, 58012, 51252, 56185, 52101, 50458, 56333, 51252, 53727, 50362, 51104, 50829, 50799, 65854, 52204, 58621, 51449, 58004, 51449, 61514, 51449, 62206, 51449, 59454, 51252, 52133, 55856, 51711, 55856, 51838, 55856, 52225, 55856, 52137, 55856, 61475, 50362, 50966, 51139, 59720, 55839, 51252, 58605, 52101, 50422, 57016, 51252, 56176, 52101, 64612, 55839, 51252, 58605, 69219, 63519, 57016, 51252, 56176, 52101, 50434, 58012, 51252, 56185, 50362, 50966, 51139, 53116, 57016, 51252, 56176, 50362, 51002, 51041, 60547, 58012, 51252, 56185, 52101, 50446, 56333, 51252, 53727, 52101, 59848, 58012, 51252, 56185, 50362, 50966, 51139, 61376, 56333, 51252, 53727, 52101, 50458, 56220, 51252, 53085, 50362, 51104, 50839, 50799, 57016, 51252, 56176, 69219, 53829, 58012, 51252, 56185, 52101, 50422, 56333, 51252, 53727, 52101, 61236, 58621, 50972, 58012, 51252, 56185, 50362, 50966, 51139, 59971, 56333, 51252, 53727, 52101, 50434, 56220, 51252, 53085, 52101, 61767, 61514, 51481, 56333, 51252, 53727, 50362, 51002, 51041, 58408, 56220, 51252, 53085, 52101, 50446, 57020, 51252, 53016, 52101, 59848, 62206, 69207, 67940, 56220, 51252, 53085, 52101, 50456, 55871, 51252, 52235, 52101, 60651, 50829, 50799, 58621, 53849, 58004, 53849, 61514, 53849, 62206, 53849, 58012, 51252, 56185, 50362, 50966, 51139, 52432, 56333, 51252, 53727, 52101, 50422, 56220, 51252, 53085, 52101, 64612, 56333, 51252, 53727, 69219, 63519, 56220, 51252, 53085, 52101, 50434, 57020, 51252, 53016, 50362, 50966, 51139, 53116, 56220, 51252, 53085, 50362, 51002, 51041, 60547, 57020, 51252, 53016, 52101, 50446, 55871, 51252, 52235, 52101, 59848, 57020, 51252, 53016, 50362, 50966, 51139, 61376, 55871, 51252, 52235, 52101, 50456, 58563, 51252, 51992, 52101, 60651, 50839, 50799, 56220, 51252, 53085, 69219, 53829, 57020, 51252, 53016, 52101, 50422, 55871, 51252, 52235, 52101, 61236, 57020, 51252, 53016, 50362, 50966, 51139, 59971, 55871, 51252, 52235, 52101, 50434, 58563, 51252, 51992, 52101, 61767, 55871, 51252, 52235, 50362, 51002, 51041, 58431, 62012, 51252, 51850, 52101, 50446, 52105, 52320, 60427, 63609, 50799, 61406, 52204, 58004, 51449, 61514, 54249, 63036, 54249, 63452, 54249, 51881, 55856, 51838, 55856, 52225, 55856, 52036, 55856, 52430, 55856, 52883, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 61236, 58004, 50972, 52883, 59311, 61767, 63036, 50972, 54074, 57000, 59848, 63452, 69207, 60427, 63609, 50799, 58004, 53849, 61514, 53849, 63036, 53849, 63452, 53849, 52883, 56493, 52261, 51544, 59871, 52883, 53116, 54074, 59484, 59848, 52883, 60427, 69591, 53028, 60480, 52105, 52389, 51139, 59311, 51762, 53550, 51041, 57000, 52105, 52320, 60427, 50852, 54794, 65854, 52204, 58621, 54249, 58004, 54249, 61514, 54249, 62206, 54249, 50799, 52133, 55856, 51711, 55856, 51838, 55856, 52225, 55856, 52137, 55856, 52883, 56493, 52261, 51544, 59871, 52883 ]

[ 0, 250, 20902, 3152, 8, 3495, 24904, 6, 42, 20425, 2214, 1575, 10, 36075, 8669, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 2724, 368, 31365, 25999, 6, 21072, 6, 8, 3459, 9590, 6, 70, 447, 561, 7, 1045, 10, 15352, 30054, 8, 14899, 5466, 19, 10, 11602, 9, 15073, 4, 8504, 11, 5, 762, 9, 211, 538, 8, 6780, 10, 1769, 20889, 9, 10529, 13410, 228, 2289, 6, 5, 2125, 3905, 10, 204, 73, 306, 86, 6543, 6, 19, 5, 40286, 83, 8, 211, 442, 12577, 4961, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 56540, 50948, 51075, 50862, 51288, 50836, 51622, 50374, 53323, 50938, 50415, 51075, 50878, 51288, 50942, 52356, 50924, 50419, 51622, 50857, 51288, 52734, 51075, 50857, 51075, 56438, 51862, 50421, 51271, 51030, 51288, 55946, 51321, 50910, 50425, 51075, 50884, 52294, 50846, 51288, 78425, 54156, 51075, 50812, 51288, 78508, 50910, 52356, 50936, 50427, 51271, 50948, 50431, 54479, 66746, 51622, 52749, 51634, 50908, 51075, 50862, 51288, 58897, 51022, 50433, 51271, 69200, 51321, 59321, 51075, 50818, 74986, 51622, 53574, 51271, 50948, 66746, 73492, 51321, 77648, 59357, 51075, 50855, 51288, 50836, 51075, 50952, 77138, 51622, 50910, 51321, 51022, 50445, 51271, 71097, 51321, 54721, 51271, 50936, 51075, 50809, 51288, 50836, 51622, 50840, 51075, 50859, 51288, 56438, 53104, 50583, 57830, 51271, 51030, 51075, 50862, 51288, 50836, 66127, 59639, 51622, 56438, 65319, 51321, 50808, 56540, 50924, 51075, 50890, 51288, 50887, 51622, 50840, 54479, 51288, 56438, 52476, 50583, 59723, 51271, 50924, 74986, 51075, 50862, 51075, 50821, 51288, 50858, 51622, 52757, 50584, 58910, 51321, 68208, 52356, 58216, 51271, 50924, 51075, 50884, 51288, 50840, 51622, 50840, 51075, 50859, 51288, 78508, 53974, 51271, 50948, 51288, 50818, 59337, 51288, 50840, 66127, 51622, 53104, 50584, 60968, 51321, 54362, 51271, 50806, 51075, 50884, 51288, 50884, 51622, 50840, 61727, 51288, 78508, 53745, 50583, 60224, 51271, 50806, 61003, 51634, 50870, 51075, 50855, 51075, 50809, 51288, 50887, 51622, 71459, 63491, 51321, 68168, 51075, 50884, 51288, 50884, 51622, 52396, 51271, 50879, 61727, 51288, 78508, 50384, 59064, 51033, 50455, 51622, 55433, 51271, 51737, 59337, 51075, 50890, 51288, 50840, 51288, 78628, 68248, 51321, 62959, 51075, 50884, 51288, 50818, 51622, 50887, 56540, 50873, 51075, 50859, 51288, 53104, 50584, 50385, 59064, 59723, 51271, 50972, 51288, 50818, 51075, 50887, 51075, 50930, 51288, 78425, 71459, 63140, 51321, 67415, 51075, 50884, 51288, 50818, 51622, 70945, 55889, 51271, 50924, 51288, 50930, 51075, 78508, 66428, 51075, 50890, 51288, 50890, 51622, 54334, 51271, 50806, 51288, 50895, 51075, 58897, 64568, 51321, 65452, 51075, 50895, 51288, 50818, 51622, 53418, 51271, 51030, 61727, 51288, 53104, 50584, 50384, 59064, 70035, 51288, 50884, 51075, 54400, 51271, 52731, 51634, 50928, 51075, 50821, 51288, 50859, 51622, 66389, 63491, 51321, 59248, 51075, 50895, 61003, 51622, 50884, 51075, 51757, 66709, 51288, 61589, 70945, 50940, 50455, 51075, 50887, 51075, 50890, 51288, 50880, 51622, 52485, 51271, 51021, 51288, 57590, 65319, 51321, 65706, 51075, 50895, 51288, 50884, 51622, 51276, 50583, 50921, 50799, 52449, 51775, 56184, 51380, 51271, 50936, 66127, 51288, 61589, 50858, 50419, 51271, 50849, 51075, 50895, 66746, 51622, 51835, 51288, 50884, 51075, 50380, 53323, 58910, 51321, 65418, 51271, 50879, 51075, 50895, 51288, 50895, 51622, 52437, 56184, 51328, 52449, 50974, 51075, 50859, 51288, 53104, 50584, 53745, 50583, 51033, 50431, 66709, 51075, 50886, 51075, 50890, 51288, 50864, 51288, 78425, 54937, 51321, 64568, 51321, 54957, 55402, 51121, 53559, 51328, 53139, 51111, 61485, 51143, 50987, 59206, 51634, 50943, 52294, 50914, 51143, 50995, 51219, 51108, 51211, 50981, 53687, 51097, 51321, 50384, 59064, 50921, 50439, 51206, 78045, 51271, 75390, 63491, 51321, 54755, 56590, 51048, 52449, 51199, 53139, 51346, 51271, 77837, 51124, 51622, 50991, 77864, 51622, 51330, 52375, 51003, 54338, 74167, 50384, 59064, 64257, 51761, 50456, 51271, 50936, 51634, 50838, 51321, 68248, 51321, 50890, 56540, 50806, 51288, 50864, 51622, 50857, 51075, 50977, 51288, 50917, 52172, 50830, 52356, 51021, 51321, 61555, 51288, 50836, 51622, 50809, 52172, 76739, 51862, 50421, 51271, 54901, 51321, 56382, 51271, 50936, 51075, 50867, 51288, 50857, 51622, 50862, 51854, 50859, 52172, 52757, 50583, 50921, 51321, 50910, 50431, 51288, 50833, 51622, 52749, 51271, 51030, 52172, 53376, 50584, 60968, 51321, 59321, 51622, 50828, 51288, 54431, 51271, 50938, 51075, 71805, 50812, 52172, 50943, 51321, 77648, 51033, 50443, 51271, 50938, 51288, 51820, 51622, 78412, 65932, 51321, 65835, 51271, 51192, 51622, 50828, 51288, 53938, 51075, 50844, 51854, 50800, 53319, 51060, 51321, 53104, 50583, 50936, 50455, 51288, 50855, 51622, 54583, 51271, 50936, 52380, 51116, 51321, 65319, 51321, 62923, 51271, 50806, 51622, 50828, 51288, 50813, 72354, 50854, 51288, 52757, 50584, 52476, 50583, 50921, 50419, 51288, 50855, 51622, 54878, 51271, 50936, 52380, 52757, 50584, 58910, 51321, 68208, 71784, 51288, 50840, 51622, 50855, 51854, 53950, 51075, 50844, 52380, 66103, 53104, 50583, 50921, 50431, 51271, 50936, 51288, 50862, 51622, 50836, 52380, 74257, 51321, 60968, 51321, 64141, 51271, 50911, 51288, 50839, 51622, 50839, 51075, 50810, 59639, 53319, 52446, 51321, 66972, 52356, 51033, 50443, 51271, 50937, 51288, 50840, 51622, 50836, 52172, 60182, 51321, 63491, 51321, 68168, 51271, 50942, 51622, 50841, 51075, 50886, 51288, 50836, 51854, 53639, 51321, 50384, 59064, 50940, 50455, 51271, 50893, 51288, 50840, 51622, 50836, 51979, 74323, 51321, 68248, 51321, 62959, 73781, 51622, 50855, 51622, 50822, 51211, 50942, 52563, 50948, 51321, 50385, 59064, 50921, 50419, 51211, 50836, 51622, 54878, 50953, 51380, 51979, 50897, 51321, 63140, 51321, 67415, 51622, 70830, 50855, 51979, 52450, 51211, 50810, 52294, 66103, 50383, 59064, 50921, 50431, 58918, 51211, 50836, 51622, 50836, 51979, 53627, 51321, 64568, 51321, 65452, 78021, 51211, 50833, 51622, 50810, 52228, 60315, 51622, 50841, 51211, 58897, 50384, 59064, 50940, 50443, 50953, 62682, 51211, 50836, 51622, 50380, 53323, 63491, 51321, 59248, 51211, 50867, 52294, 53886, 73781, 51622, 50862, 54727, 60478, 70945, 50952, 50455, 51211, 50887, 51622, 50887, 53880, 51696, 50456, 65343, 51321, 65319, 51321, 65706, 51075, 50809, 51843, 50886, 56540, 50977, 51854, 77454, 53745, 50583, 50940, 50419, 51271, 50977, 51075, 59723, 51622, 50959, 51321, 58910, 51321, 65418, 51271, 50879, 52341, 53383, 51075, 50880, 53964, 64594, 61589, 54154, 51271, 50936, 52874, 53376, 50584, 71598, 51622, 56486, 51321, 65452, 51271, 50805, 53289, 54957, 51075, 52757, 50584, 50384, 59064, 50921, 50439, 52294, 50865, 50443, 51271, 50936, 51622, 52815, 51075, 78508, 63491, 51321, 68168, 51271, 50806, 52356, 57099, 51075, 50880, 51854, 60478, 68065, 51271, 50940, 51622, 50936, 51288, 53586, 51321, 68248, 51321, 50890, 56540, 50806, 51288, 50864, 51622, 50857, 51075, 50977, 52172, 77648, 51021, 51321, 61555, 51288, 50836, 51622, 50809, 52172, 66389, 51862, 50421, 51271, 54901, 51321, 56382, 51271, 50936, 51075, 50867, 51288, 50857, 51622, 50862, 51854, 50859, 52172, 52757, 50583, 50921, 51321, 50910, 50431, 51288, 50833, 51622, 50812, 52172, 52749, 51271, 68791, 60968, 51321, 59321, 51622, 50828, 51288, 50855, 52172, 55965, 51271, 50938, 51075, 71805, 52757, 50584, 77648, 51033, 50443, 51271, 50938, 51288, 51820, 51622, 78412, 65932, 51321, 65835, 51271, 51192, 51622, 50828, 51288, 50862, 53319, 65504, 51075, 50844, 51854, 56438, 53104, 50583, 50936, 50455, 51288, 50855, 51622, 54583, 51271, 50936, 52380, 51162, 51321, 65319, 51321, 62923, 51271, 50806, 51622, 50828, 51288, 50813, 72354, 50854, 51288, 52757, 50584, 52476, 50583, 50921, 50419, 51288, 50855, 51622, 54878, 51271 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 326, 5638, 18026, 6, 17605, 9590, 6, 3459, 9590, 6, 13305, 6, 8, 1076, 560, 31365, 25999, 4, 8504, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 9, 12312, 741, 1685, 6, 42, 2365, 12, 36381, 1349, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 163, 428, 8, 12608, 6, 61, 7230, 5705, 4, 590, 63, 17627, 17274, 6711, 8, 12298, 223, 34693, 6, 42, 2214, 115, 1807, 157, 25, 3618, 930, 13, 1337, 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 ]

[ 57739, 50799, 51326, 54107, 51326, 53663, 51326, 54145, 51326, 50824, 50799, 50727, 50335, 52098, 50295, 72424, 61336, 68488, 54805, 54226, 50727, 50326, 50917, 52389, 58542, 50727, 50331, 53695, 50727, 50326, 55310, 50727, 50331, 52841, 50727, 50335, 53351, 57699, 50727, 50326, 54465, 50727, 50331, 55932, 50727, 50335, 52848, 50798, 57325, 50727, 50326, 53875, 50727, 50331, 50917, 50799, 50727, 50336, 51519, 50300, 72424, 72025, 64806, 54805, 54226, 70776, 50849, 52389, 58542, 50727, 50331, 53695, 70776, 54125, 50727, 50331, 52841, 50727, 50336, 52972, 57699, 70776, 52597, 50727, 50331, 54672, 50727, 50336, 55620, 50798, 57325, 70776, 53875, 50727, 50331, 50897, 50799, 50727, 50335, 52098, 50295, 72424, 61336, 68488, 54805, 54226, 50727, 50326, 50917, 52389, 58542, 50727, 50331, 53695, 50727, 50326, 55310, 50727, 50331, 52841, 50727, 50335, 53351, 57699, 50727, 50326, 54465, 50727, 50331, 55932, 50727, 50335, 52848, 50798, 57325, 50727, 50326, 53875, 50727, 50331, 50917, 50799, 50727, 50336, 51519, 50300, 72424, 72025, 64806, 54805, 54226, 70776, 50849, 52389, 58542, 50727, 50331, 53695, 70776, 54125, 50727, 50331, 52841, 50727, 50336, 52972, 57699, 70776, 52597, 50727, 50331, 54672, 50727, 50336, 55620, 50798, 57325, 70776, 53875, 50727, 50331, 50897, 50799, 50727, 50335, 50917, 52481, 51717, 51426, 51717, 51395, 51717, 51811, 51717, 51197, 72424, 61336, 68488, 50918, 51992, 55548, 54226, 50727, 50326, 50917, 52280, 50917, 52389, 58542, 50727, 50331, 50836, 52527, 53695, 50727, 50326, 50836, 52280, 55310, 50727, 50331, 50812, 52527, 52841, 50727, 50335, 50836, 51992, 53351, 57699, 50727, 50326, 50836, 52280, 54465, 50727, 50331, 50836, 52527, 55932, 50727, 50335, 50812, 51992, 52848, 50798, 57325, 50727, 50326, 50836, 52280, 53875, 50727, 50331, 50917, 52527, 50917, 50799, 50727, 50336, 51519, 50300, 72424, 72025, 75377, 52943, 53834, 54226, 70776, 50849, 51756, 50849, 52389, 58542, 50727, 50331, 50836, 52527, 53695, 70776, 50812, 51756, 54125, 50727, 50331, 50812, 52527, 52841, 50727, 50336, 50812, 52943, 52972, 57699, 70776, 50812, 51756, 52597, 50727, 50331, 50812, 52527, 54672, 50727, 50336, 50897, 52943, 55620, 50798, 57325, 70776, 50836, 51756, 53875, 50727, 50331, 50897, 52527, 50897, 50799, 50727, 50335, 52098, 50295, 72424, 61336, 68488, 50918, 51992, 55548, 54226, 50727, 50326, 50917, 52280, 50917, 52389, 58542, 50727, 50331, 50836, 52527, 53695, 50727, 50326, 50836, 52280, 55310, 50727, 50331, 50812, 52527, 52841, 50727, 50335, 50836, 51992, 53351, 57699, 50727, 50326, 50836, 52280, 54465, 50727, 50331, 50836, 52527, 55932, 50727, 50335, 50812, 51992, 52848, 50798, 57325, 50727, 50326, 50836, 52280, 53875, 50727, 50331, 50917, 52527, 50917, 50799, 50727, 50336, 51519, 50300, 72424, 72025, 75377, 52943, 50849, 50703, 50283, 51307, 66724, 51307, 52623, 51307, 52184, 67841, 54226, 70776, 50849, 51756, 50849, 52389, 58542, 50727, 50331, 50836, 52527, 53695, 70776, 50812, 51756, 54125, 50727, 50331, 50812, 52527, 52841, 50727, 50336, 50812, 52943, 51420, 53235, 57699, 70776, 50812, 51756, 51420, 55920, 50727, 50331, 50812, 52527, 51420, 57674, 50727, 50336, 50897, 52943, 55593, 50882, 52320, 53235, 57325, 70776, 50836, 51756, 50380, 57332, 54403, 50727, 50331, 50897, 52527, 50897, 52013, 58361, 53222, 50882, 50799, 50727, 50335, 50987, 51105, 50976, 51197, 51173, 51197, 72424, 61336, 68488, 50918, 51992, 50917, 51206, 55195, 50824, 51402, 53932, 50727, 50326, 50987, 52280, 54260, 54588, 76613, 51197, 52207, 53049, 51096, 52035, 50290, 50948, 51441, 50966, 53694, 58542, 50727, 50331, 50857, 52527, 52217, 53627, 50727, 50326, 50857, 73185, 51085, 50940, 52280, 52217, 55098, 50727, 50331, 50844, 52527, 51420, 53415, 50727, 50335, 50857, 51105, 50976, 51197, 51173, 51992, 50836, 51441, 50966, 57699, 50727, 50326, 50857, 52280, 52217, 54207, 50727, 50331, 50857, 52527, 52217, 55590, 50727, 50335, 50844, 76613, 51197, 50890, 51992, 51420, 53639, 56372, 51085, 50893, 51441, 50966, 53694, 57325, 50727, 50326, 50857, 52280, 52217, 53920, 50727, 50331, 50987, 51096, 52035, 50290, 50948, 52527, 54260, 50833, 51621, 50833, 50799, 50727, 50336, 50892, 51796, 50802, 51503, 51936, 50300, 72424, 72025, 75377, 52943, 50849, 51441, 50966, 50824, 51402, 53932, 70776, 50892, 51756, 52808, 54588, 51796, 50811, 51503, 52207, 53049, 60606, 52035, 50283, 50948, 51441, 50966, 53694, 58542, 50727, 50331, 50857, 52527, 52217, 53627, 70776, 50844, 52936, 52035, 50285, 50948, 51756, 51420, 55098, 50727, 50331, 50844, 52527, 51420, 53415, 50727, 50336, 50844, 51796, 50976, 51503, 51173, 52943, 51420, 53632, 57699, 70776, 50844, 51756, 51420, 54207, 50727, 50331, 50844, 52527, 51420, 55590, 50727, 50336, 50955, 51796, 50811, 51503, 50890, 52943, 55593, 53639, 52936, 50802, 51247, 50893, 51441, 50966, 53694, 57325, 70776, 50857, 51756, 52217, 53920, 50727, 50331, 50955, 60606, 52035, 50283, 50948, 52527, 55593, 50833, 51621, 50833, 50799, 50727, 50335, 50987, 51105, 50976, 51197, 51173, 51197, 72424, 61336, 68488, 50918, 51992, 50917, 51441, 50966, 50824, 51402, 53932, 50727, 50326, 50987, 52280, 54260, 54588, 76613, 51197, 52207, 53049, 51096, 52035, 50290, 50948, 51441, 50966, 53694, 58542, 50727, 50331, 50857, 52527, 52217, 53627, 50727, 50326, 50857, 73185, 51085, 50940, 52280, 52217, 55098, 50727, 50331, 50844, 52527, 51420, 53415, 50727, 50335, 50857, 51105, 50976, 51197, 51173, 51992, 50836, 51441, 50966, 57699, 50727, 50326, 50857, 52280, 52217, 54207, 50727, 50331, 50857, 52527, 52217, 55590, 50727, 50335, 50844, 76613, 51197, 50890, 51992, 51420, 53639, 56372, 51085, 50893, 51441, 50966, 53694, 57325, 50727, 50326, 50857, 52280, 52217, 53920, 50727, 50331, 50987, 51096, 52035, 50290, 50948, 52527, 54260, 50833, 51621, 50833, 50799, 50727, 50336, 50892, 51796, 50802, 51503, 51936, 50300, 72424, 72025, 75377, 52943, 50849, 51441, 50966, 50824, 51402, 53932, 70776, 50892, 51756, 52808, 54588, 51796, 50811, 51503, 52207, 53049, 60606, 52035, 50283, 50948, 51441, 50966, 53694, 58542, 50727, 50331, 50857, 52527, 52217, 53627, 70776, 50844, 52936, 52035, 50285, 50948, 51756, 51420, 55098, 50727, 50331, 50844, 52527, 51420, 53415, 50727, 50336, 50844, 51796, 50976, 51503, 51173, 52943, 51420, 53632, 57699, 70776, 50844, 51756, 51420, 54207, 50727, 50331, 50844, 52527, 51420, 55590, 50727, 50336, 50955, 51796, 50811, 51503, 50890, 52943, 55593, 53639, 52936, 50802, 51247, 50893, 51441, 50966, 53694, 57325, 70776, 50857, 51756, 52217, 53920, 50727, 50331, 50955, 60606, 52035, 50283, 50948, 52527, 55593, 50833, 51621, 50833, 50799, 50727, 50335, 50987, 51105, 50976, 51197, 51173, 51197, 72424, 61336, 68488, 50918, 51992, 50917, 51441, 50966, 50824, 51402, 53932, 50727, 50326, 50987, 52280, 54260, 54588, 76613, 51197, 52207, 53049, 51096, 52035, 50290, 50948, 51441, 50966, 53694, 58542, 50727, 50331, 50857, 52527, 52217, 53627, 50727, 50326, 50857, 73185, 51085, 50940, 52280, 52217, 55098, 50727, 50331, 50844, 52527, 51420, 53415, 50727, 50335, 50857, 51105, 50976, 51197, 51173, 51992, 50836, 51441, 50966, 57699, 50727, 50326, 50857, 52280, 52217, 54207, 50727, 50331, 50857, 52527, 52217, 55590, 50727, 50335, 50844, 76613, 51197, 50890, 51992, 51420, 53639 ]

[ 0, 250, 2635, 12, 20764, 15855, 2125, 4246, 10, 13305, 8, 24896, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 112, 73, 306, 86, 6543, 4, 20, 15229, 7630, 6568, 10, 25306, 5466, 6, 29354, 15352, 30054, 33083, 19, 17878, 9, 15073, 8, 9066, 2821, 16235, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 9, 163, 428, 8, 12608, 6, 2351, 10, 1472, 9, 26545, 1328, 5, 2214, 18, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 52552, 50625, 52274, 52274, 52274, 52552, 51001, 50896, 51034, 51062, 51427, 50423, 51147, 52422, 51001, 51274, 62335, 52297, 50307, 66677, 62682, 50876, 50806, 51034, 51028, 51427, 50423, 50931, 52422, 50906, 72328, 51040, 57874, 58956, 55885, 51120, 56962, 50806, 76898, 51427, 51197, 51016, 79579, 68057, 50906, 53939, 51001, 51274, 50429, 51197, 51417, 71341, 51218, 50435, 50997, 51241, 64574, 62682, 50906, 63412, 50806, 50449, 50906, 79021, 50880, 51034, 50965, 51196, 50876, 75843, 51503, 51417, 50420, 51085, 51218, 50423, 51197, 51241, 70562, 51013, 55203, 50936, 50442, 50956, 50936, 50446, 70588, 78031, 51363, 50423, 52046, 50833, 51197, 50833, 50956, 72674, 50906, 51620, 50956, 55890, 72400, 52046, 51127, 51197, 64345, 50956, 51058, 50442, 50861, 51058, 50446, 61801, 51034, 50906, 51363, 51028, 51363, 50423, 51503, 50833, 51176, 72474, 62674, 66303, 51620, 50900, 58750, 72778, 51503, 51127, 51176, 64345, 50965, 56484, 50906, 59797, 50861, 50818, 50965, 53905, 50965, 58408, 50876, 64731, 51001, 50865, 51034, 51147, 74523, 51234, 71818, 60003, 50424, 51176, 57817, 79500, 50428, 51027, 53911, 50997, 50943, 50435, 51001, 51724, 50902, 52831, 51062, 51820, 51081, 52513, 61673, 72316, 70632, 51013, 50415, 51197, 50841, 51050, 70325, 51120, 50841, 51197, 56933, 50900, 53932, 50997, 54588, 51120, 53906, 51197, 58141, 51001, 58500, 50931, 57000, 51001, 60794, 50902, 57868, 51001, 50818, 51034, 51040, 50810, 50951, 51238, 50417, 50956, 54351, 50861, 55266, 71430, 51001, 58821, 51028, 72293, 52329, 73766, 51081, 50983, 50429, 50956, 53513, 50861, 55167, 50956, 53614, 51197, 56532, 50956, 53783, 60569, 51001, 53658, 71430, 68321, 50810, 51147, 51238, 50417, 50956, 54351, 50965, 55266, 71430, 51001, 58821, 50876, 72293, 52329, 51176, 50844, 51062, 50983, 50429, 50956, 53513, 50965, 55167, 50956, 53614, 50900, 56532, 50956, 53783, 50965, 50844, 51001, 53658, 71430, 51034, 51040, 50810, 51081, 51238, 50417, 50956, 54351, 50861, 55266, 71430, 51001, 58821, 50906, 72293, 52329, 51026, 50844, 51405, 50983, 50429, 50956, 53513, 50861, 55167, 50956, 53614, 50997, 56532, 50956, 53783, 60569, 51399, 53658, 50956, 64913, 51399, 50809, 77575, 50810, 51062, 63229, 50965, 54351, 50956, 55266, 50900, 53450, 51176, 58141, 51062, 50795, 51034, 59179, 51040, 51518, 50417, 51081, 51835, 51487, 52296, 51339, 51620, 51405, 57722, 51127, 76885, 50429, 51399, 51628, 51062, 52262, 51081, 51724, 51147, 52831, 50951, 51820, 50931, 52513, 64341, 51034, 51028, 60692, 51518, 73401, 51835, 51339, 52296, 51405, 51620, 51399, 63628, 51127, 50965, 51127, 50429, 51062, 51628, 51081, 52262, 51147, 51724, 50951, 52831, 50931, 51820, 51001, 52513, 63417, 51034, 56143, 50861, 51518, 50417, 50906, 51835, 51405, 52296, 51399, 51620, 59179, 50997, 51127, 51040, 51127, 50429, 51081, 51628, 51147, 52262, 50951, 51724, 50931, 52831, 51001, 51820, 51028, 52513, 60437, 51034, 50906, 78006, 50965, 53932, 50861, 54588, 50871, 53049, 66461, 50906, 51356, 51028, 51356, 50951, 51356, 50429, 50899, 53627, 50956, 55098, 50871, 53415, 50956, 58935, 51040, 54207, 50900, 55590, 50997, 50833, 77575, 50833, 50876, 51605, 51147, 51605, 50417, 50900, 53932, 50997, 54588, 51176, 53049, 51026, 56274, 50997, 53627, 51176, 55098, 51026, 53415, 51050, 58935, 51176, 54207, 51026, 55590, 51050, 50854, 72316, 52821, 77343, 51835, 51081, 52296, 51147, 51620, 50951, 52765, 51081, 51628, 51147, 52262, 50951, 51724, 50931, 52831, 51147, 51820, 50951, 52513, 66188, 51034, 51001, 64736, 51147, 51620, 50876, 70900, 51001, 51724, 50965, 65677, 60437, 51034, 50956, 51358, 54569, 51121, 61104, 51121, 56014, 51121, 62335, 65562, 55179, 51176, 51121, 76898, 64325, 51121, 69980, 59851, 63559, 51197, 51121, 50906, 57345, 51360, 51121, 62275, 65562, 51234, 52434, 50305, 54828, 50795, 51034, 51503, 69970, 79981, 60823, 51841, 51077, 51315, 51077, 51086, 51356, 50965, 51356, 78458, 52297, 50281, 51189, 51360, 51189, 50965, 55834, 50956, 53182, 52206, 51734, 50292, 56389, 51040, 55890, 53218, 53492, 51458, 50290, 50873, 52552, 54637, 51734, 50288, 51734, 50300, 50807, 51086, 60821, 58750, 50807, 72698, 52994, 54851, 52780, 55214, 54236, 50879, 74206, 51013, 51034, 52994, 53751, 50319, 51013, 50415, 51147, 51073, 50425, 50900, 50943, 56040, 75725, 50965, 51056, 50432, 52064, 56810, 53928, 57816, 52249, 50911, 50449, 50906, 51013, 51034, 52813, 53751, 50317, 51013, 50415, 50931, 51073, 51147, 51073, 50425, 50997, 57908, 51040, 50943, 73343, 51056, 50428, 50965, 51377, 50432, 54313, 56810, 52682, 57816, 52813, 50911, 50448, 50861, 51294, 51034, 52994, 51496, 50906, 51013, 50415, 51001, 51073, 77717, 51345, 50425, 51197, 50943, 56947, 75725, 50997, 51056, 50432, 52249, 52370, 50307, 52262, 51001, 51724, 52994, 61623, 52831, 50931, 51820, 53928, 73796, 77099, 64511, 62617, 57061, 50449, 53928, 50930, 51034, 52064, 51551, 50956, 65065, 72271, 52910, 51503, 52434, 50324, 50917, 55203, 50865, 50442, 50956, 64731, 50965, 50865, 78031, 52910, 50906, 63534, 51734, 50299, 72893, 56389, 50956, 51828, 50293, 51800, 50299, 78389, 50914, 50442, 50861, 64731, 50906, 50865, 51034, 50931, 52910, 51001, 67795, 51734, 50295, 51734, 50300, 56389, 50876, 51588, 50288, 51519, 50295, 51519, 50300, 50849, 50442, 51001, 59352, 51085, 75097, 51147, 50937, 51034, 51062, 51588, 50293, 50914, 50418, 51028, 50937, 50422, 50931, 57817, 51081, 51588, 50295, 50943, 50430, 50876, 78344, 51001, 58020, 51147, 51588, 50283, 50914, 50442, 50906, 50937, 50446, 51028, 50925, 51034, 50906, 51486, 51028, 51486, 50951, 51486, 50418, 51315, 50937, 50422, 51197, 57817, 51120, 50937, 50430, 51197, 78344, 51315, 58020, 51197, 50937, 50442, 51050, 69775, 51197, 50937, 51034, 51503, 51183, 50876, 50918, 51147, 56039, 54313, 51054, 51034, 53122, 58808, 52813, 56346, 54313, 63418, 52813, 51054, 51034, 52682, 52362, 50295, 51518, 50997, 51518, 50861, 51161, 51001, 59047, 53992, 56346, 59541, 63418, 52994, 51054, 51034, 52130, 68188, 51358, 51197, 51518, 50997, 51518, 50420, 52994, 52370, 50305, 52296, 50956, 51620, 53928, 51496, 50916, 52424, 50956, 51918, 52994, 52370, 50305, 57341, 54828, 50795, 51034, 53122, 50882, 51324, 51127, 51197, 51127, 51176, 51127, 51086, 51127, 50965, 63229, 53928, 55446, 52813, 57625, 53122, 54856, 54313, 65294, 61783, 50965, 51124, 50441, 51028, 51820, 50906, 52513, 66461, 61783, 77575, 50818, 51086, 50818, 50965, 64664, 51026, 61508, 54639, 51176, 50841, 50965, 58100, 51026, 61508, 52432, 51176, 50841, 50965, 56493, 51026, 61508, 53423, 51176, 50841, 50965, 57550, 51026, 61508, 52437, 51176, 71866, 52765, 50997, 69771, 56999, 51086, 70082, 52209, 51040, 50841, 51028, 56859, 50956, 70632, 53593, 50916, 50841, 50968, 56359, 50861, 50841, 50951, 52565, 50965, 79111, 51918, 50973, 51458, 50327, 50795, 51034, 51315, 50812, 51176, 77353, 59176, 51378, 75547, 58100, 51176, 50841, 50965, 52432, 51027, 65490, 56493, 51086, 70082, 53423, 51040, 50841, 51028, 57550, 50956, 70632, 52437, 50916, 50841, 50968, 60568, 50956, 70632, 54013, 50916, 50841, 50968, 56999, 50956, 70632, 52209, 50916, 50841, 50968, 56859, 50956, 70632, 53593, 50916, 50841, 50968, 56359, 50956, 70632, 52565, 50916, 65544, 51918, 50965, 51458, 50324, 50795, 51034, 51360, 51124, 51315 ]

[ 0, 250, 765, 37903, 9, 15352, 30054, 3495, 930, 4246, 10, 2342, 4467, 816, 5, 1049, 4782, 6, 7513, 30, 10, 38668, 11212, 6, 3459, 9590, 6, 6755, 12547, 6, 8, 21072, 6, 2351, 10, 3344, 9, 1372, 8, 2933, 6711, 29, 6, 278, 11, 10, 1769, 20889, 8, 5, 762, 9, 83, 538, 6, 19, 10, 33215, 16739, 9, 83, 6, 381, 6, 211, 6, 83, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 63515, 51271, 50806, 79417, 77871, 51491, 54273, 50980, 50843, 50980, 53654, 51469, 53679, 51469, 50426, 51271, 50806, 51113, 55422, 56158, 51886, 50976, 79417, 77871, 51491, 50806, 52614, 51167, 50843, 50980, 52005, 50980, 50446, 51886, 50823, 52614, 57099, 51886, 50802, 68027, 52614, 55422, 50921, 51889, 58133, 52433, 50824, 52614, 50896, 50458, 51889, 50921, 65310, 50806, 51794, 50806, 51301, 55422, 50980, 52684, 51469, 55340, 69097, 53598, 51066, 52614, 56003, 52022, 50806, 51113, 55422, 56925, 51686, 51066, 52614, 56158, 51794, 50806, 51301, 55422, 58648, 51686, 50802, 52614, 52610, 52083, 50802, 68027, 52614, 55422, 57175, 51686, 51072, 52614, 50896, 52563, 50806, 52065, 50806, 51088, 54273, 50980, 50843, 50980, 52507, 51469, 53679, 69097, 51686, 50802, 52614, 52247, 52156, 51184, 58918, 51491, 50806, 52614, 55422, 56158, 52065, 50806, 51251, 55422, 50980, 52005, 56812, 50843, 50921, 51889, 65372, 51889, 50921, 50799, 52065, 50806, 51088, 55422, 50980, 52507, 51469, 54008, 51469, 50426, 51491, 55422, 56158, 52065, 50806, 51251, 55422, 56812, 50843, 50980, 55194, 50806, 79417, 77871, 51491, 54273, 50980, 50843, 50980, 53654, 51469, 52684, 51469, 53679, 51469, 50426, 69364, 51113, 55422, 56158, 51886, 50976, 79417, 77871, 51491, 50806, 52614, 51167, 50843, 50980, 52005, 50980, 50446, 51886, 50823, 52614, 57099, 51886, 50802, 68027, 52614, 55422, 50921, 51889, 58133, 52433, 50824, 52614, 50896, 50458, 51889, 50921, 53534, 50806, 51794, 50806, 51301, 55422, 50980, 52684, 51469, 55340, 69097, 53598, 51066, 52614, 56003, 65609, 51113, 55422, 56925, 51686, 51066, 52614, 56158, 51794, 50806, 51301, 55422, 58648, 51686, 50802, 52614, 52610, 52083, 50802, 68027, 52614, 55422, 57175, 51686, 50824, 52614, 50896, 53400, 50806, 52065, 50806, 51088, 54273, 50980, 50843, 50980, 53278, 52570, 52507, 54089, 54008, 54089, 50420, 51565, 51795, 52203, 51226, 50426, 58337, 51491, 55422, 56158, 52065, 50806, 51251, 55422, 50980, 52005, 56812, 50843, 50921, 51889, 65372, 51889, 50921, 50799, 52065, 50806, 51088, 55422, 56003, 51491, 55422, 56158, 52065, 50806, 51251, 55422, 50980, 52684, 68660, 51301, 55422, 50980, 56540, 50806, 79417, 77871, 51491, 54273, 50980, 50843, 50980, 53654, 51469, 53679, 51469, 50426, 51271, 50806, 51113, 55422, 56158, 51886, 50976, 79417, 77871, 51491, 50806, 52614, 51167, 50843, 50980, 52005, 50980, 50446, 51886, 50803, 52614, 57099, 51886, 50802, 68027, 52614, 55422, 50921, 51889, 58133, 52433, 50824, 52614, 50896, 50458, 51889, 50921, 65310, 50806, 51794, 50806, 51301, 55422, 50980, 52684, 51469, 55340, 69097, 53598, 51066, 52614, 56003, 52022, 50806, 51113, 55422, 56925, 51686, 51066, 52614, 56158, 51794, 50806, 51301, 55422, 58648, 51686, 50802, 52614, 52610, 52083, 50802, 68027, 52614, 55422, 57175, 51686, 51072, 52614, 50896, 52563, 50806, 52065, 50806, 51088, 54273, 50980, 50843, 50980, 52507, 51469, 53679, 69097, 51686, 50802, 52614, 52247, 52156, 51352, 58918, 51491, 50806, 52614, 55422, 56158, 52065, 50806, 51251, 55422, 50980, 52005, 56812, 50843, 50921, 51889, 65372, 51889, 50921, 50799, 52065, 50806, 51088, 55422, 50980, 52507, 51469, 54008, 51469, 50426, 51491, 55422, 56158, 52065, 50806, 51251, 55422, 56812, 50843, 50980, 55194, 50806, 79417, 77871, 51491, 54273, 50980, 50843, 50980, 53654, 51469, 52684, 51469, 53679, 51469, 50426, 69364, 51113, 55422, 56158, 51886, 50975, 79417, 77871, 51491, 50806, 52614, 51167, 50843, 50980, 52005, 50980, 50446, 51886, 50803, 52614, 57099, 51886, 50802, 68027, 52614, 55422, 50921, 51889, 58133, 52433, 50824, 52614, 50896, 50458, 51889, 50921, 53534, 50806, 51794, 50806, 51301, 55422, 50980, 52684, 51469, 55340, 69097, 53598, 51066, 52614, 56003, 65609, 51113, 55422, 56925, 51686, 50824, 52614, 56158, 51794, 50806, 51301, 55422, 58648, 51686, 50802, 52614, 52610, 52083, 50802, 68027, 52614, 55422, 57175, 51686, 50824, 52614, 50896, 53400, 50806, 52065, 50806, 51088, 54273, 50980, 50843, 50980, 53278, 52570, 52507, 54089, 54008, 54089, 50420, 51565, 51059, 52203, 51226, 50426, 58337, 51491, 55422, 56158, 52065, 50806, 51251, 55422, 50980, 52005, 56812, 50843, 50921, 51889, 65372, 51889, 50921, 50799, 52065, 50806, 51088, 55422, 56003, 51491, 55422, 56158, 51228, 51196, 52065, 50806, 51251, 55422, 50980, 52684, 68660, 51301, 55422, 50980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2125, 19, 10, 2842, 9, 3495, 6, 42, 2214, 1575, 41, 21979, 8669, 816, 10, 19448, 8, 15352, 30054, 4782, 6, 7630, 14805, 10, 1472, 9, 11926, 8, 20183, 4, 8504, 11, 5, 762, 9, 211, 538, 8, 6780, 10, 1769, 20889, 6, 24, 30853, 19, 10, 33215, 13931, 9, 211, 119, 1176, 406, 6, 163, 119, 6, 274, 10431, 6, 163, 119, 6, 8, 83, 401, 6, 70, 624, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 50796, 58402, 63456, 50868, 57847, 51172, 76322, 50988, 72442, 69197, 50868, 58192, 64525, 57230, 63456, 50885, 51253, 50432, 57230, 50868, 57093, 53913, 51042, 51174, 76080, 68386, 50944, 54323, 63299, 50885, 51775, 50456, 63299, 58056, 50847, 51380, 59007, 51058, 50885, 59985, 57437, 64060, 63299, 58056, 50421, 50847, 57630, 80057, 64412, 50979, 57597, 68535, 58876, 63299, 50885, 51775, 50444, 64957, 63299, 58056, 50450, 65671, 58324, 50885, 59985, 55670, 64060, 63299, 58056, 50457, 64957, 50799, 64412, 64803, 50979, 76026, 51380, 50420, 50944, 57588, 50866, 50979, 55544, 50850, 67678, 51481, 74579, 51506, 51309, 51042, 51423, 50444, 51042, 50886, 50979, 50833, 58119, 51506, 51008, 50944, 58175, 50979, 51363, 50946, 51484, 50944, 51025, 78757, 73771, 50799, 63456, 50868, 57847, 51172, 50988, 51253, 76322, 50420, 69197, 50868, 58192, 64525, 57230, 65420, 50988, 51806, 50885, 51253, 50432, 57230, 50868, 57093, 53913, 51042, 51174, 76080, 68386, 50944, 53794, 63299, 50885, 51775, 50456, 64525, 58056, 77643, 58402, 61117, 50885, 59985, 55099, 64060, 63299, 58056, 50421, 50847, 56382, 80057, 73428, 50979, 57597, 68535, 58876, 63299, 50885, 51775, 50444, 62486, 63299, 58056, 50450, 61117, 58324, 50885, 59985, 55670, 64060, 63299, 58056, 50457, 64957, 50799, 64412, 50979, 57349, 51162, 51042, 51380, 50420, 75251, 50979, 55544, 51506, 51766, 50303, 57349, 67678, 73906, 73971, 51506, 51008, 69358, 75905, 50979, 57349, 55125, 56955, 69358, 72591, 50944, 58325, 77467, 75571, 50885, 64739, 50979, 53890, 50868, 51736, 50944, 73835, 73237, 50868, 51380, 50444, 50909, 50812, 51034, 50935, 55729, 50866, 58966, 51217, 51486, 60474, 50866, 70983, 50935, 78804, 70987, 50433, 70987, 60179, 50438, 67561, 50439, 50868, 51481, 50847, 51412, 50444, 50935, 65835, 61311, 51034, 50944, 50924, 51171, 51518, 50420, 57988, 64349, 51736, 50944, 51646, 50868, 51918, 62062, 80054, 66603, 51332, 51346, 50418, 50944, 62270, 50868, 56382, 71046, 51791, 50865, 50430, 62486, 50434, 50850, 52877, 60001, 51217, 51194, 50442, 50944, 57225, 69230, 52552, 50624, 50944, 50940, 51751, 51194, 50423, 51042, 50812, 51034, 50635, 50885, 61195, 50979, 55109, 58326, 50868, 53308, 50944, 52446, 50847, 68247, 50909, 50901, 75571, 70987, 58966, 74797, 51042, 51423, 51217, 51538, 60474, 51203, 50847, 51411, 50935, 51157, 50433, 70987, 60179, 50935, 51116, 50439, 50868, 51481, 50847, 51412, 50444, 50935, 50859, 69827, 50935, 50812, 51171, 51161, 50418, 50909, 53066, 51007, 58218, 50909, 62115, 50935, 52639, 50850, 57943, 50944, 51646, 50868, 51918, 62062, 80054, 66603, 51332, 51215, 50418, 50944, 62270, 50868, 56382, 71046, 51791, 50865, 50430, 50847, 75724, 50850, 57581, 60001, 51217, 50977, 50442, 50944, 57225, 50868, 50836, 57739, 50944, 51624, 50295, 51377, 50424, 51042, 69353, 50885, 51218, 50435, 66484, 50440, 61560, 50445, 50944, 52610, 50847, 64175, 50868, 50813, 54458, 50944, 50991, 50424, 50979, 53881, 50628, 50868, 77198, 58079, 50431, 50979, 59628, 51042, 65859, 50885, 53415, 50634, 50439, 70044, 50443, 51042, 64661, 50988, 62955, 50946, 50897, 50452, 51506, 52955, 50988, 57651, 51217, 50878, 57333, 50415, 51751, 56624, 51217, 55587, 51332, 53184, 51751, 57499, 50630, 51688, 51203, 50428, 51332, 67393, 51751, 60462, 51217, 52262, 51332, 52841, 50626, 51751, 50810, 51688, 51177, 50441, 51332, 54653, 51751, 64661, 51217, 60972, 51332, 53639, 51688, 51194, 50452, 51332, 70566, 51751, 66660, 51217, 80026, 51332, 50867, 50799, 50639, 51688, 51393, 50295, 51178, 50417, 51332, 55650, 51791, 54588, 51332, 57818, 51688, 51393, 50295, 51337, 50429, 51332, 71588, 51791, 55098, 51332, 59983, 51688, 51393, 50295, 51423, 50441, 51791, 56069, 51791, 54672, 51332, 56060, 51688, 51393, 50295, 51423, 50453, 51791, 55735, 51791, 56054, 51332, 51008, 63515, 51751, 50978, 51688, 71423, 51332, 54202, 51791, 54588, 51332, 53906, 51751, 50851, 51688, 54253, 51791, 71588, 51791, 55098, 51332, 55467, 51751, 50851, 51688, 54789, 51791, 56069, 51791, 54672, 51332, 56060, 51751, 50822, 51688, 70842, 51791, 55835, 51791, 56054, 51332, 51008, 57333, 51688, 51177, 50419, 51791, 51518, 50420, 51751, 52151, 50799, 50639, 61983, 50988, 51293, 50426, 50944, 50959, 50431, 50868, 51159, 50437, 57724, 50443, 65998, 50449, 71544, 50799, 50639, 61983, 51688, 51714, 50426, 50944, 50959, 50431, 50868, 51159, 50437, 58856, 50443, 62835, 50449, 71544, 59007, 51108, 61983, 51332, 51714, 50428, 64873, 50431, 50868, 64967, 59082, 58463, 50977, 50449, 50848, 54771, 50868, 50892, 65919, 50848, 58299, 50988, 51939, 50438, 50848, 76630, 50847, 51884, 50909, 51753, 59626, 50885, 51753, 50909, 51852, 50868, 51025, 50425, 50848, 55905, 51380, 50431, 65999, 50435, 75737, 50440, 68069, 50445, 75737, 50448, 61999, 50451, 77111, 50459, 62783, 51034, 50634, 50417, 51042, 58793, 70493, 50424, 63919, 50429, 51217, 51189, 50440, 74571, 64059, 67004, 77543, 51751, 51714, 50428, 50872, 59780, 50979, 58346, 58661, 58463, 51677, 50450, 50988, 51145, 59626, 50431, 51332, 51254, 50988, 51074, 50436, 50946, 51051, 51171, 50978, 50446, 51332, 51254, 50988, 51254, 50452, 51751, 74620, 51079, 50461, 51171, 51359, 65919, 50848, 51391, 65751, 51097, 50427, 50944, 56504, 50868, 54014, 50848, 55322, 51017, 54058, 69358, 50461, 51017, 51381, 51688, 51359, 59007, 51391, 65751, 78804, 50944, 53308, 50868, 54014, 50848, 68711, 51017, 54058, 80057, 57746, 51145, 51332, 51293, 50427, 50944, 53387, 50868, 54014, 50848, 55322, 50988, 51961, 50445, 50885, 54058, 57724, 50847, 68987, 59300, 70984, 67004, 50988, 51363, 79841, 50847, 51679, 51171, 51293, 57189, 51576, 50988, 74048, 79168, 50988, 51448, 50848, 51749, 63515, 64060, 50868, 54243, 50848, 69116, 50885, 58346, 51042, 61255, 50946, 54058, 51042, 55670, 67693, 67004, 72419, 67653, 59847, 53172, 51042, 67772, 50988, 72759, 51217, 51377, 50450, 51217, 71474, 50988, 50873, 59626, 77543, 51751, 51422, 50428, 50872, 59517, 50979, 58346, 59082, 58463, 50987, 50449, 50988, 57197, 50628, 50885, 51380, 51034, 50623, 51007, 75240, 50909, 66089, 51007, 52628, 50909, 58936, 50939, 62782, 50850, 52524, 50847, 67691, 58442, 50429, 50979, 53695, 50848, 59062, 57212, 50436, 51037, 53980, 50946, 59615, 66333, 50442, 51164, 63610, 51751, 65079, 51171, 64072, 51332, 50867, 51034, 50641, 51791, 51359, 51034, 50648, 50424, 50935, 50897, 50436, 69320, 51034, 50645, 51007, 51218, 50946, 52015, 50438, 68386, 51034, 50935, 51003, 50988, 52015, 50426, 65336, 50438, 68205, 51034, 50649, 71537, 51171, 72270, 50847, 56509, 69816, 51034, 76322, 51332, 51803, 50426, 50944, 51267, 50438, 61560, 51034, 73061, 51791, 79642, 50847, 56692, 69350, 51034, 50647, 51217, 51448, 65751, 68106, 50944, 51363, 50438, 70987, 51034, 50647, 50944, 51677, 51751, 51677, 51034, 50650, 51042, 73660, 50935, 56509, 51125, 51255, 51034, 50647, 51007, 51218, 50946, 52015, 50438, 68386, 51034, 50645, 50935, 51003, 50988, 52015, 50426, 72681, 50438, 68205, 51034, 50650, 71537, 51171, 72270, 50847, 56509, 69816, 51034, 76322, 51332, 51803, 50426, 50944, 51267, 50438, 61560, 51034, 73061, 51791, 51790, 50426, 50847, 56692, 50850, 51411, 51034, 50649, 79605, 51217, 51742, 50426, 50944, 72652, 50868, 51025, 51034, 73061, 51751, 78046, 50847, 59290, 69350 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 7212, 20889, 6, 4246, 3459, 8669, 6, 13305, 6, 3459, 9590, 6, 20535, 483, 6, 8, 21979, 8669, 4, 20, 1349, 34, 10, 2365, 8, 1372, 16464, 6, 442, 24, 10686, 13, 3618, 930, 4, 85, 18, 11, 5, 762, 9, 272, 3694, 8, 204, 73, 306, 86, 6543, 6, 19, 10, 5705, 16331, 33215, 16739, 9, 230, 406, 8, 272, 119, 406, 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 ]

[ 57739, 72412, 50836, 51231, 50840, 54041, 53345, 54016, 53070, 51231, 50840, 52690, 64653, 52373, 54604, 50801, 53087, 52690, 50809, 65652, 54041, 52764, 54016, 54974, 51587, 53196, 50913, 51693, 50435, 51231, 50967, 52690, 51110, 50903, 52958, 54041, 51060, 51577, 51459, 52535, 53027, 52219, 50875, 55686, 51587, 50829, 51382, 53353, 55170, 53563, 51587, 52532, 56232, 50903, 50908, 66268, 50840, 52690, 50887, 54041, 53672, 54016, 56231, 51231, 50813, 52690, 50855, 54041, 54878, 50913, 50364, 51459, 53868, 51231, 50840, 52690, 53243, 50961, 51302, 54016, 56609, 52690, 50836, 51231, 50809, 54041, 56420, 53031, 50913, 59817, 52690, 51346, 51231, 51345, 50903, 55379, 54041, 51073, 52219, 51459, 52532, 53384, 50801, 52245, 55686, 51587, 52802, 54768, 54016, 53555, 51587, 52535, 59506, 50903, 50928, 76056, 52149, 61254, 52690, 52121, 51410, 51183, 51303, 51127, 51231, 51127, 51414, 51047, 53310, 51677, 57605, 51518, 54222, 51422, 54041, 51677, 51577, 50875, 53405, 52018, 50911, 51587, 52543, 51129, 61640, 53087, 50953, 50962, 56148, 54371, 54016, 57265, 51587, 59278, 54997, 62118, 60357, 50913, 58721, 50903, 53115, 74511, 54677, 50873, 52219, 51459, 52543, 63938, 54997, 55200, 75825, 51231, 51003, 51410, 51003, 51249, 50873, 52404, 50875, 50908, 52612, 61988, 58145, 54677, 65295, 74511, 51414, 51100, 54768, 53099, 53553, 65343, 54491, 51127, 51587, 52535, 69054, 50903, 50908, 52563, 50894, 51231, 50977, 51327, 50977, 51410, 50866, 53310, 51134, 54041, 51351, 57977, 50914, 54222, 51351, 52219, 50875, 53405, 77375, 51231, 51177, 51327, 51121, 51410, 51100, 50913, 50366, 51459, 54104, 50801, 53087, 50953, 56460, 54538, 55212, 51587, 52818, 77375, 51231, 51121, 51327, 51121, 51410, 51121, 54677, 51218, 50913, 59817, 50903, 54203, 74511, 53310, 51003, 57605, 50914, 54222, 51056, 54041, 51003, 52404, 51459, 52535, 53325, 61674, 51414, 51178, 51410, 51124, 51231, 51124, 52219, 50875, 60571, 50964, 52997, 57423, 52802, 78153, 58706, 52502, 54059, 59674, 51587, 52532, 60078, 50903, 50908, 53870, 51500, 51687, 51397, 51414, 51562, 52303, 51397, 51231, 51417, 54551, 50981, 54041, 51003, 57605, 50943, 60602, 70539, 54715, 54031, 51587, 52373, 58362, 50801, 53087, 51105, 51014, 54251, 64390, 54016, 54974, 51587, 52953, 54491, 51177, 50913, 78592, 50903, 53569, 50927, 51566, 51231, 50866, 51327, 50866, 51410, 50938, 51414, 50866, 53789, 51351, 57605, 51391, 54222, 51241, 54041, 51351, 51587, 52373, 54715, 59901, 54677, 55945, 51327, 50977, 51231, 50901, 51414, 50845, 51410, 50849, 54997, 50892, 52219, 50875, 51004, 52612, 58064, 52802, 68318, 54677, 51101, 54768, 53353, 53556, 51410, 51233, 51414, 51101, 51231, 51177, 51327, 51121, 54997, 51047, 51587, 52532, 60078, 50903, 50982, 52534, 51500, 54551, 50943, 57605, 50914, 54041, 51159, 53789, 51003, 52219, 50875, 53405, 51414, 51101, 51476, 51242, 51231, 51101, 51687, 51121, 51587, 52535, 58362, 50801, 55800, 50964, 58665, 54839, 55212, 51587, 52818, 58623, 51231, 51177, 51414, 51101, 51476, 51101, 51687, 51043, 56148, 77227, 58721, 50903, 52958, 50945, 50930, 54222, 51351, 53138, 51241, 53789, 51191, 53310, 51241, 52404, 51459, 52535, 53325, 50945, 51021, 51249, 51194, 51231, 51178, 51476, 51233, 51687, 51233, 50913, 60600, 50884, 52612, 57305, 52772, 50945, 53540, 54839, 54405, 54450, 51213, 51021, 51687, 50878, 51476, 50854, 51249, 50925, 51231, 50910, 51587, 52532, 68430, 50903, 50982, 76056, 52149, 50953, 50962, 51231, 51047, 51303, 51183, 51414, 51103, 51410, 51314, 52690, 52337, 57605, 51518, 53310, 51422, 54222, 51692, 54041, 51538, 50913, 55170, 53336, 61254, 50913, 50366, 51459, 54316, 50801, 53087, 52018, 50950, 56148, 64390, 53078, 56609, 51587, 59651, 54997, 62118, 50953, 51033, 71817, 50435, 50903, 52904, 50953, 50962, 54677, 65151, 54390, 59520, 58780, 54997, 73971, 50953, 51033, 51410, 50914, 51231, 51003, 51249, 58679, 52245, 56377, 51587, 54617, 52725, 50953, 50962, 51414, 51110, 54677, 51101, 58046, 53099, 53555, 70802, 54491, 51183, 50913, 50365, 51459, 54991, 50903, 50928, 52563, 50894, 51231, 50866, 51327, 50937, 51410, 50977, 53310, 51351, 57977, 51241, 54222, 51134, 54041, 51134, 52219, 50875, 57226, 52018, 68360, 51231, 50901, 51327, 50901, 51410, 50865, 51587, 52543, 64634, 50953, 53703, 53087, 52018, 77048, 54835, 55212, 51587, 59278, 54677, 66312, 50953, 51192, 51231, 51177, 51327, 50873, 51410, 68747, 58721, 50903, 52958, 66854, 57605, 51003, 53310, 50915, 54222, 51003, 54041, 51003, 52219, 51459, 52535, 53858, 67910, 51410, 51110, 51414, 51121, 51231, 51100, 52219, 50875, 51004, 52612, 58250, 52802, 50945, 53540, 55401, 53479, 56883, 51105, 52935, 69078, 51587, 52532, 59506, 50903, 50891, 53870, 51090, 51414, 51417, 52303, 51562, 51687, 51448, 51231, 51413, 54551, 50981, 60602, 50915, 54041, 50943, 57605, 50915, 52219, 50875, 53420, 51587, 52535, 51258, 61640, 80148, 54251, 66010, 51105, 56460, 54839, 58288, 51587, 60741, 54491, 62118, 50913, 55762, 50903, 50928, 53758, 51500, 51231, 50866, 51414, 50866, 51410, 50987, 51327, 50942, 54677, 50845, 53789, 51351, 57605, 51003, 54222, 51003, 54041, 51351, 51587, 54109, 53099, 53384, 51410, 51177, 51414, 50845, 51231, 50845, 51327, 50917, 54997, 51242, 50913, 62010, 50846, 52612, 57423, 52772, 50927, 51090, 54677, 51177, 52219, 50875, 54835, 53650, 51327, 51101, 51410, 51177, 51231, 51101, 51414, 51101, 54997, 51183, 50913, 50362, 51459, 54991, 50903, 50908, 52534, 51500, 54551, 51003, 57605, 51025, 53789, 50981, 54041, 51400, 50913, 55401, 54031, 51476, 51043, 51231, 51110, 51414, 51194, 51687, 51110, 51587, 52535, 55375, 50801, 53087, 50964, 56460, 54538, 58288, 51587, 52953, 58918, 51414, 51101, 51231, 51177, 51476, 51212, 51687, 51043, 56148, 51477, 50913, 59817, 50903, 53115, 66586, 53138, 51419, 54222, 51419, 53310, 51391, 53789, 51351, 52404, 51459, 52535, 53325, 66586, 51231, 51178, 51249, 51178, 51476, 51233, 51687, 51194, 50913, 60600, 50884, 52612, 57301, 52772, 50945, 54092, 53078, 55170, 54450, 51231, 50917, 51249, 50937, 51476, 51151, 51687, 50977, 51587, 52703, 59506, 50964, 62746, 50908, 66629, 51803, 52027, 51452, 51773, 51803, 51434, 51803, 65059, 51687, 51359, 51231, 51353, 51414, 51353, 54041, 51790, 54551, 51675, 57605, 51675, 53789, 51452, 52219, 50875, 53420, 50964, 54976, 50364, 51459, 54316, 50801, 50883, 51302, 54016, 57265, 51587, 53063, 50913, 58721, 50964, 66261, 52958, 61499, 51577, 50875, 58586, 52986, 50927, 51286, 51067, 51388, 50913, 71073, 50884, 52612, 57305, 53057, 63046, 57329, 53078, 61733, 51064, 51552, 50456, 72488, 51587, 52532, 59506, 50903, 57015, 51607, 51742, 52327, 51803, 51515, 51803, 73471, 51742, 63063, 51231, 51151, 51687, 51359, 51476, 51353, 51249, 51264, 54551, 51452, 54222, 51422, 53138, 51742, 53789, 51452, 52219, 50875, 53405, 63063, 50913, 50366, 51459, 54104, 50801, 53087, 50945, 54627, 53353, 57265, 51587, 53063, 50913, 59817, 50929, 70693, 53115, 50945, 57793, 56926, 63292, 54704, 50929, 57816, 52404, 50875, 56377, 57566, 51587, 54617, 53057, 50945, 55024, 53479, 53099, 56782, 50929, 59727, 50945, 64678, 52535, 69054, 64962, 50903, 50908, 50799, 52603, 51047, 52257, 51183, 51773, 51047, 51434, 51080, 65059, 51231, 51353, 51414, 51307, 51476, 51307, 51687, 51655, 54551 ]

[ 0, 713, 20902, 5175, 15229, 16, 10, 8787, 2125, 14, 1931, 21683, 10, 32076, 8, 20425, 16464, 6, 1969, 13, 6548, 4, 590, 10, 1769, 20889, 9, 8325, 13410, 228, 2289, 8, 278, 11, 5, 762, 9, 272, 538, 6, 24, 1575, 10, 11577, 11739, 9, 20535, 2810, 6, 2724, 368, 31365, 25999, 6, 33704, 5675, 22052, 6, 3459, 9590, 6, 8, 21072, 4, 20, 15352, 30054, 3251, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 211, 6, 163, 119, 6, 83, 6, 272, 6, 8, 163, 119, 6, 1271, 7, 63, 13363, 28191, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50796, 52288, 50938, 51223, 53632, 50938, 51206, 50952, 52383, 59240, 51195, 53111, 51000, 52383, 54657, 51271, 50809, 51195, 57396, 51000, 52383, 56133, 70909, 52383, 53383, 56735, 51195, 53690, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50836, 51195, 55603, 50971, 52383, 56579, 77775, 52383, 50857, 53758, 66373, 53590, 55744, 50827, 52383, 58545, 51223, 50862, 51960, 52383, 54305, 51271, 50836, 51195, 55702, 50971, 52383, 56518, 52383, 54086, 56735, 51262, 57468, 58895, 52808, 50984, 52383, 50857, 51647, 50941, 52383, 54199, 51271, 50809, 51195, 61484, 50941, 52383, 57400, 52383, 50857, 52288, 50805, 51223, 53303, 56022, 50827, 52383, 59240, 67250, 51983, 52383, 54657, 51271, 50836, 51195, 56192, 51000, 52383, 56133, 51223, 50857, 52383, 53383, 56735, 51195, 52259, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50836, 51195, 52672, 50971, 52383, 56579, 67569, 52383, 50857, 53758, 50849, 51265, 52972, 55744, 50827, 52383, 58545, 69710, 51960, 52383, 54305, 51271, 50840, 51425, 52716, 50971, 52383, 56518, 52383, 54086, 55564, 51262, 54070, 58895, 52808, 50984, 52383, 50857, 51647, 50941, 52383, 54199, 51271, 50836, 51195, 61600, 50941, 52383, 57400, 52383, 50857, 52288, 50795, 51223, 53632, 56022, 50827, 52383, 59240, 77589, 51983, 52383, 54657, 51271, 50840, 51195, 57396, 51000, 52383, 56133, 70909, 52383, 53383, 56735, 51195, 53690, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50840, 51195, 55603, 50971, 52383, 56579, 77775, 52383, 50857, 53758, 50795, 51195, 53590, 55744, 50827, 52383, 58545, 51223, 50862, 51960, 52383, 54305, 51271, 50809, 51195, 55702, 50971, 52383, 56518, 52383, 54086, 56735, 51262, 57468, 58895, 52808, 50984, 52383, 50857, 51647, 50941, 52383, 54199, 51271, 50840, 51195, 61484, 50941, 52383, 57400, 52383, 50857, 52288, 50805, 51223, 53303, 56022, 50827, 52383, 59240, 67250, 51983, 52383, 54657, 51271, 50840, 51195, 56192, 51000, 52383, 56133, 51223, 50857, 52383, 53383, 50927, 66373, 52259, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50840, 51195, 52672, 50971, 52383, 56579, 67569, 52383, 50857, 53758, 50805, 51265, 50812, 52103, 50840, 51713, 50840, 51978, 53351, 55744, 50827, 52383, 58545, 69710, 52103, 50862, 51713, 50862, 51978, 51559, 50870, 52383, 54305, 51271, 50840, 51425, 50809, 52719, 50855, 51648, 50855, 52228, 56192, 50971, 52383, 56518, 52664, 50862, 51683, 50862, 52394, 50813, 52383, 54086, 70296, 51262, 50865, 55912, 50840, 51913, 50808, 53880, 53351, 58895, 52808, 50984, 52383, 57168, 55912, 50813, 51913, 50813, 53880, 53111, 50941, 52383, 54199, 51271, 50836, 51195, 50942, 55282, 50855, 51963, 50855, 54512, 56192, 50941, 52383, 57400, 55865, 50836, 52103, 50836, 56478, 50855, 52383, 50857, 52288, 50938, 51223, 50833, 52719, 50840, 51648, 50840, 52228, 53351, 56022, 50827, 52383, 59240, 77589, 52719, 50862, 51648, 50862, 52228, 78051, 52383, 54657, 51271, 50809, 51195, 50854, 52664, 50846, 51683, 50840, 52394, 53708, 51000, 52383, 56133, 70909, 52719, 50840, 51648, 50808, 52228, 50836, 52383, 53383, 56735, 51195, 53690, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50836, 51195, 55603, 50971, 52383, 56579, 77775, 52383, 50857, 53758, 66373, 53590, 55744, 50827, 52383, 58545, 51223, 50862, 51960, 52383, 54305, 51271, 50836, 51195, 55702, 50971, 52383, 56518, 52383, 54004, 56735, 51262, 57468, 58895, 52808, 50984, 52383, 50857, 51647, 50941, 52383, 54199, 51271, 50809, 51195, 61484, 50941, 52383, 57400, 52383, 50857, 52288, 50805, 51223, 53303, 56022, 50827, 52383, 59240, 67250, 51983, 52383, 54657, 51271, 50836, 51195, 56192, 51000, 52383, 56133, 51223, 50857, 52383, 53383, 56735, 51195, 52259, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50836, 51195, 52672, 50971, 52383, 56579, 67569, 52383, 50857, 53758, 50849, 51265, 52972, 55744, 50827, 52383, 58545, 69710, 51960, 52383, 54305, 51271, 50840, 51425, 52716, 50971, 52383, 56518, 52383, 54086, 55564, 51262, 54070, 58895, 52808, 50984, 52383, 50857, 51647, 50941, 52383, 54199, 51271, 50836, 51195, 61600, 50941, 52383, 57400, 52383, 50857, 52288, 50795, 51223, 53632, 56022, 50827, 52383, 59240, 77589, 51983, 52383, 54657, 51271, 50840, 51195, 57396, 51000, 52383, 56133, 70909, 52383, 53383, 56735, 51195, 53690, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50840, 51195, 55603, 50971, 52383, 56579, 77775, 52383, 50857, 53758, 50795, 51195, 53590, 55744, 50827, 52383, 58545, 51223, 50862, 51960, 52383, 54305, 51271, 50809, 51195, 55702, 50971, 52383, 56518, 52383, 54086, 56735, 51262, 57468, 58895, 52808, 50984, 52383, 50857, 51647, 50941, 52383, 54199, 51271, 50840, 51195, 61484, 50941, 52383, 57400, 52383, 50857, 52288, 50805, 51223, 53303, 56022, 50827, 52383, 59240, 67250, 51983, 52383, 54657, 51271, 50840, 51195, 56192, 51000, 52383, 56133, 51223, 50857, 52383, 53383, 50927, 66373, 52259, 59343, 64532, 50984, 52383, 50857, 51532, 50863, 52383, 53705, 51271, 50840, 51195, 52672, 50971, 52383, 56579, 67569, 52383, 50857, 53758, 50805, 51265, 50812, 52719, 50820, 51648, 50813, 52228, 54534, 55744, 50827, 52383, 58545, 69710, 52719, 50857, 51648, 50813, 52228, 50867, 51960, 52383, 54305, 51271, 50840, 51425, 50809, 52664, 50813, 51683, 50813, 52394, 56768, 50971, 52383, 56518, 52719, 50813, 51648, 50813, 52228, 50857, 52383, 54086, 70296, 51262, 50865, 52103, 50855, 51713, 50855, 51978, 53630, 58895, 52808, 50984, 52383, 57168, 51963, 50813, 51776, 50813, 51979, 53111, 50941, 52383, 54199, 51271, 50836, 51195, 50942, 51913, 50855, 52002, 50855, 52172, 55071, 50839, 52383, 57400, 51683, 50855, 52306, 50855, 52380, 55071, 50855, 52383, 50857, 52563, 50805, 52479, 50805, 51648, 50840, 52991, 50808, 52833, 53351, 50938, 51206, 50952, 53207, 50857, 51839, 50805, 51402, 51000, 53207, 54657, 52018, 55702, 51000, 53207, 65643, 52408, 50955, 51323, 66401, 53207, 53383, 50953, 53834, 50938, 51068, 56867, 64532, 50984, 53207, 63829, 52412, 50959, 51245, 50959, 51532, 50863, 53207, 53705, 52018, 55153, 50971, 53207, 65312, 53638, 50886, 51404, 56524, 53207, 63120, 52412, 51003, 51245, 51003, 55208, 53834, 55744, 50827, 53207, 50857, 51572, 50870, 53207, 54305, 52018, 55702, 50971, 53207, 56518, 53207, 54086, 50953, 53834, 69198, 56867, 52808, 50984, 53207, 50857, 51647, 50941, 53207, 54199, 52018, 55153, 50941, 53207, 57400, 53207, 50857, 52354, 51654, 56022, 50827, 52595, 50857, 51402, 50891, 52595, 54657, 51720, 55702, 51000, 52595, 56133, 52595, 53383, 50945, 60665, 50938, 51068, 56867, 64532, 50984, 52595, 50857, 51532, 50863, 52595, 53705, 51720, 50855, 52412, 54791, 50971, 52595, 50857, 51245, 54112, 52595, 53891, 50964, 53834, 55744, 50827, 52042, 64643, 52479, 51121, 51839, 51121, 51572, 50870, 52042, 54305, 51133, 55702, 50971, 52042, 56518, 52479, 50942, 52042, 50857, 51839, 58332, 50964, 51654, 69198, 56867, 52808, 50984, 52042, 50857, 51647, 50941, 52042, 54199, 51133, 55153, 50941, 52042, 57400, 52042, 50857, 52563, 50795, 52479, 60665, 56022, 50827, 53207, 50857, 51839, 51100, 51402, 50891, 53207, 54657, 52018, 52716, 51000, 53207, 65643, 52408, 50878, 51323, 60988 ]

[ 0, 4688, 5175, 25771, 2214, 19, 10, 6548, 8, 980, 16464, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21072, 6, 20535, 483, 6, 8, 38668, 22052, 4, 20, 15352, 30054, 15229, 16, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 13955, 741, 1685, 6, 24826, 198, 5, 33215, 16739, 9, 230, 6, 1918, 6, 211, 119, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50799, 54543, 54874, 77459, 54517, 65173, 54543, 52580, 54517, 54965, 57881, 54543, 63163, 54517, 56180, 54543, 53877, 74173, 54517, 62407, 54543, 54385, 54517, 54965, 57109, 54543, 63105, 54517, 50851, 50799, 54543, 54874, 51031, 50418, 54517, 64987, 54543, 53881, 54517, 54965, 63519, 54543, 63221, 54517, 52788, 54543, 54874, 74173, 54517, 62182, 54543, 54385, 54517, 54965, 57109, 54543, 63105, 54517, 50874, 50799, 54543, 54874, 77459, 54517, 65173, 54543, 52580, 54517, 54965, 57318, 54543, 63163, 54517, 56180, 54543, 53877, 63895, 54517, 62407, 54543, 54385, 54517, 54965, 57109, 54543, 63105, 54517, 50851, 50799, 54543, 54874, 68316, 54517, 64987, 54543, 53881, 54517, 54965, 63519, 54543, 63221, 54517, 52788, 54543, 54874, 73431, 54517, 62182, 54543, 54385, 54517, 54965, 61376, 54543, 63105, 54517, 50874, 50799, 54543, 51051, 51887, 50878, 51154, 50933, 52088, 51033, 51821, 52096, 51701, 52121, 50801, 77459, 54517, 50933, 51699, 50955, 51088, 50933, 51813, 75249, 54543, 51142, 51883, 51293, 51113, 51449, 51855, 53939, 54517, 50933, 51855, 52420, 57881, 54543, 71484, 54517, 56180, 54543, 51210, 51249, 51267, 50801, 64916, 51303, 51109, 51327, 50914, 50442, 54517, 51051, 50446, 54543, 62911, 54517, 59743, 57109, 54543, 50907, 52088, 67516, 54517, 50933, 51813, 50921, 50799, 54543, 51142, 51855, 53703, 51031, 50418, 54517, 51210, 51855, 50962, 50422, 54543, 51142, 51855, 61177, 54517, 50933, 51638, 51101, 51165, 51328, 52077, 78708, 63519, 54543, 76969, 54517, 51051, 51883, 51419, 51113, 51679, 51855, 56341, 54543, 51210, 51855, 55461, 74173, 54517, 51051, 51855, 70040, 54543, 51142, 51855, 57099, 54517, 51006, 51638, 50925, 51165, 50959, 52077, 61487, 57109, 54543, 50984, 51883, 51008, 51113, 51210, 51855, 71208, 54517, 51142, 51699, 50959, 51088, 51142, 51813, 50940, 50799, 54882, 50812, 51887, 50925, 51154, 50959, 52088, 51045, 50801, 77459, 54245, 51051, 51699, 50959, 51088, 51142, 51813, 70838, 54882, 50878, 51883, 51151, 51113, 51243, 51855, 54631, 54245, 50959, 51855, 51460, 50804, 57318, 54882, 63125, 54245, 58450, 54882, 50933, 51457, 50915, 51303, 51253, 50801, 59575, 51249, 51109, 50442, 54245, 63251, 54882, 58175, 54245, 54566, 57109, 54882, 50955, 52088, 75183, 54245, 50955, 51813, 51033, 50799, 54882, 50955, 51855, 54452, 68316, 54245, 50878, 51855, 69079, 54882, 50955, 51855, 61177, 54245, 50955, 51638, 51194, 51165, 51423, 52077, 74050, 63519, 54882, 62743, 54245, 50987, 51883, 51381, 51113, 52256, 51855, 55734, 54882, 50925, 51855, 55024, 73431, 54245, 50955, 51855, 69225, 54882, 50955, 51855, 61326, 54245, 51008, 51638, 50878, 51165, 51008, 52077, 58971, 61376, 54882, 50959, 51883, 50955, 51113, 51051, 51855, 72870, 54245, 50955, 51699, 51423, 51088, 52059, 51813, 50882, 50799, 56259, 50897, 51813, 50821, 51678, 51717, 52072, 51717, 50801, 77459, 59042, 51051, 51883, 50878, 51113, 51008, 51855, 70838, 56259, 50955, 51638, 51151, 51165, 51445, 52077, 56519, 59042, 50955, 52077, 74050, 57881, 56259, 61172, 59042, 60676, 56259, 50955, 51457, 51097, 51414, 51003, 51231, 67294, 74173, 59042, 67139, 56259, 58238, 59042, 60146, 57109, 56259, 50959, 52077, 79618, 59042, 50955, 52077, 50803, 50799, 56259, 50854, 52077, 52651, 51031, 50418, 59042, 50959, 52077, 58026, 56259, 50810, 52077, 66037, 59042, 50810, 51299, 51233, 51093, 51309, 51882, 74050, 63519, 56259, 61782, 59042, 50959, 51638, 51542, 51165, 52256, 52077, 57174, 56259, 50878, 52077, 55572, 74173, 59042, 50959, 52077, 79942, 56259, 50959, 52077, 68280, 59042, 50955, 51299, 50878, 51093, 51008, 51882, 62567, 57109, 56259, 50959, 51638, 50955, 51165, 50933, 52077, 75183, 59042, 51008, 51883, 50959, 51113, 51051, 51855, 51033, 50799, 54918, 50925, 51699, 51008, 51088, 51142, 51813, 51033, 51716, 52121, 50801, 77459, 54904, 51051, 51883, 50955, 51113, 51051, 51855, 51014, 50422, 54918, 50955, 51638, 52071, 51165, 52062, 52077, 56519, 54904, 50955, 52077, 51603, 50804, 57318, 54918, 63125, 54904, 55467, 54918, 50878, 51818, 50943, 51231, 50981, 51327, 61725, 63895, 54904, 63251, 54918, 54276, 54904, 53887, 57109, 54918, 63105, 54904, 50955, 50799, 54918, 50810, 51699, 50978, 51088, 51006, 51813, 58630, 68316, 54904, 50955, 51883, 50955, 51113, 50959, 51855, 70838, 54918, 50844, 51638, 51397, 51165, 50955, 52077, 56519, 54904, 50810, 51088, 50925, 52077, 60005, 63519, 54918, 50822, 51113, 64160, 54904, 50955, 51165, 78259, 54918, 53095, 73431, 54904, 50959, 51093, 62928, 54918, 50810, 51107, 58460, 54904, 50844, 51266, 57990, 61376, 54918, 50844, 51201, 61997, 54904, 50833, 51182, 50942, 50799, 54543, 50878, 51887, 51008, 51201, 51008, 52088, 51045, 51249, 51423, 51327, 51233, 51821, 52096, 51701, 52121, 52321, 57666, 51825, 51423, 50418, 54517, 50878, 51699, 51008, 51182, 51008, 51813, 62864, 52707, 51693, 50422, 54543, 50955, 51883, 51243, 51284, 51243, 51855, 51010, 56457, 54517, 50942, 51855, 56421, 53759, 52535, 75662, 54543, 51589, 56512, 54517, 60330, 52707, 64235, 54543, 50959, 51825, 51006, 52287, 51121, 52453, 57927, 53171, 51400, 50442, 54517, 60330, 52373, 51258, 50446, 54543, 51008, 59207, 54517, 57990, 52942, 52532, 65496, 54543, 50822, 52088, 50894, 51471, 50458, 54517, 50878, 51813, 69022, 52694, 50982, 50799, 54543, 50955, 51855, 50894, 52287, 50892, 53171, 50892, 53358, 57666, 56074, 51101, 50418, 54517, 50959, 51855, 56175, 52373, 51693, 50422, 54543, 50959, 51855, 51014, 66200, 52611, 50426, 54517, 50878, 51638, 50995, 51394, 50995, 52077, 51505, 50804, 53843, 52532, 51258, 50430, 54543, 50822, 74909, 54517, 50878, 51855, 56332, 52543, 64235, 54543, 51008, 51883, 50932, 51284, 50932, 51855, 55461, 51130, 59954, 54517, 50878, 51855, 54429, 56892, 54543, 50959, 51855, 51033, 56890, 54517, 50977, 51638, 50955, 51394, 50955, 52077, 61487, 52942, 52532, 51129, 50454, 54543, 50827, 51883, 51142, 51284, 51142, 51855, 51033, 51471, 50458, 54517, 50955, 51699, 51051, 51182, 51051, 51813, 63556, 52300, 50982, 50799, 54882, 50812, 51887, 50878, 51201, 50878, 52088, 51014, 51825, 51423, 52321, 55376, 51249, 51423, 51457, 51233, 50418, 54245, 51051, 51699, 51051, 51182, 51051, 51813, 54429, 52543, 69917, 54882, 50878, 51883, 51445, 51284, 51445, 51855, 50894, 56457, 54245, 50959, 51855, 51427, 50804, 54357, 52532, 75662, 54882, 50955, 74909, 54245, 60225, 52373, 58930, 54882, 50933, 51897, 52532, 51258, 50439, 51825, 51006, 52287, 51121, 54310, 51400, 50442, 54245, 60225, 52543, 51258, 50446, 54882, 51008, 63678, 52445, 50450, 54245, 54566, 52942, 52535, 51693, 50454, 54882, 50955, 52088, 51033, 51471, 50458, 54245, 50955, 51813, 69022, 52543, 51258, 50799, 54882, 50955, 51855, 50930, 52287, 50892, 56074, 51101, 52166, 57666, 54310, 50892, 50418, 54245, 50878, 51855, 56332, 58659, 54882, 50955, 51855, 51033, 60454, 54245, 50955, 51638, 50995, 51394, 50995, 52077, 64230, 53843, 52532, 51258, 50430, 54882, 51008, 66200, 79302, 54245, 50987, 51855, 54429, 52543, 55379, 54882, 50925, 51883, 51330, 51284, 51330, 51855, 53703, 51139, 52543, 51129, 50442, 54245, 50955, 51855, 54429, 57728, 54882, 50955, 51855, 51033, 66200, 53421, 54245, 51008, 51638, 50959, 51394, 50959, 52077, 58971, 53843, 59753, 54882, 50959, 51883, 50933, 51284, 50933, 51855, 51033, 66200 ]

[ 0, 250, 19448, 8, 5679, 26709, 5175, 25771, 2214, 11, 381, 538, 6, 4246, 10, 11739, 9, 30587, 8, 81, 9756, 29589, 6, 13305, 6, 6755, 12547, 6, 8, 31391, 1672, 9590, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 5663, 13410, 228, 2289, 6, 2351, 10, 23975, 8, 15352, 30054, 5466, 4, 20, 33215, 16739, 9, 381, 6, 230, 10431, 119, 406, 6, 1918, 1176, 406, 6, 274, 10431, 119, 6, 8, 163, 3639, 7, 5, 2214, 18, 33558, 8, 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 ]

[ 57211, 50799, 52326, 51359, 55390, 51359, 52102, 53380, 51465, 53380, 51249, 53380, 51349, 54153, 52095, 51367, 56884, 61252, 50754, 50305, 61845, 57236, 76135, 50952, 51065, 54951, 58600, 50879, 50947, 56053, 57395, 51065, 57845, 50754, 50305, 61845, 57617, 76135, 50952, 51065, 55799, 72242, 50879, 51169, 51048, 50856, 57481, 51065, 57502, 50754, 50305, 61845, 57278, 76135, 68258, 55721, 58600, 50879, 50947, 50918, 50856, 56663, 51065, 58207, 50754, 50305, 61845, 58210, 76135, 50952, 51065, 56047, 58600, 61845, 51258, 50799, 72242, 68258, 61252, 50754, 50305, 55768, 57236, 76135, 50952, 51065, 54951, 58600, 51158, 50947, 51048, 50856, 57395, 51065, 57845, 50754, 50305, 55768, 57617, 76135, 50952, 51065, 55799, 72242, 50879, 51169, 51048, 50856, 57481, 51065, 57502, 50754, 50305, 61845, 57278, 76135, 68258, 55721, 58600, 50879, 50947, 78886, 56663, 51349, 51159, 51065, 58207, 50754, 50305, 61845, 58210, 76135, 68258, 56047, 58600, 55855, 53612, 51258, 50799, 65047, 52821, 55349, 52821, 52102, 52821, 51465, 52821, 51249, 52821, 51640, 54153, 52095, 51202, 61252, 50754, 50305, 55768, 57236, 76135, 68258, 54951, 58600, 51158, 50947, 51048, 50856, 57395, 51065, 57845, 50754, 50305, 61845, 57617, 76135, 50952, 51065, 55799, 72242, 50879, 51169, 56053, 57481, 51065, 57502, 50754, 50305, 55768, 57278, 76135, 68258, 55721, 58600, 50879, 50947, 78886, 56663, 51065, 58207, 50754, 50305, 61845, 58210, 76135, 50952, 51065, 56047, 58600, 61845, 51258, 50799, 72242, 50952, 51065, 61252, 50754, 50305, 55768, 57236, 76135, 50952, 51065, 54951, 58600, 50879, 50947, 51048, 50856, 57395, 51065, 57845, 50754, 50305, 55768, 57617, 76135, 68258, 55799, 72242, 50879, 51169, 51048, 50856, 57481, 51065, 57502, 50754, 50305, 61845, 57278, 76135, 68258, 55721, 58600, 50879, 50947, 78886, 56663, 51640, 72807, 58207, 50754, 50305, 61845, 58210, 76135, 68258, 56047, 58600, 61468, 53612, 51258, 50799, 66417, 50943, 51410, 50943, 51719, 50943, 51249, 50943, 53655, 50943, 51181, 54153, 52095, 51202, 61252, 67968, 55768, 57236, 76135, 68258, 54951, 58600, 50879, 50947, 56053, 57395, 51065, 57845, 67968, 55768, 57617, 76135, 68258, 55799, 72242, 50879, 51169, 51048, 50856, 57481, 51065, 57502, 67968, 55768, 57278, 76135, 68258, 55721, 58600, 51158, 50947, 51091, 50856, 56663, 51065, 58207, 67968, 55768, 58210, 76135, 68258, 56047, 58600, 51158, 50856, 51258, 66790, 61252, 67968, 55768, 57236, 76135, 68258, 54951, 58600, 50879, 50947, 56053, 57395, 51065, 57845, 67968, 55768, 57617, 76135, 68258, 55799, 72242, 50879, 51169, 56053, 57481, 51065, 57502, 67968, 55768, 57278, 76135, 68258, 55721, 58600, 50879, 50947, 51091, 50856, 56663, 51181, 72807, 58207, 67968, 55768, 58210, 76135, 68258, 56047, 58600, 59155, 53612, 51258, 50799, 50655, 50279, 51218, 57081, 51218, 51410, 51417, 51719, 51417, 51249, 51417, 52571, 51417, 51857, 51894, 52095, 51202, 61252, 67968, 55768, 57236, 76135, 68672, 54951, 75798, 50879, 50947, 50991, 50856, 57395, 51065, 57845, 67968, 55768, 57617, 76135, 68672, 55799, 73041, 51158, 51076, 78886, 57481, 51065, 57502, 67968, 61845, 57278, 76135, 68258, 55721, 75798, 56473, 56663, 51065, 58207, 73041, 55768, 58210, 50754, 50310, 68672, 56047, 51857, 50836, 67968, 61845, 51258, 76675, 51127, 54369, 51359, 52571, 51359, 51465, 51359, 66165, 51359, 51374, 51307, 51065, 61252, 67968, 61845, 57236, 76135, 68258, 54951, 75798, 50879, 51316, 51112, 50856, 57395, 51065, 57845, 67968, 61845, 57617, 76135, 68258, 55799, 73041, 51158, 51076, 51048, 50856, 57481, 51651, 51127, 51065, 57502, 67968, 50879, 51065, 62971, 50856, 57278, 76135, 68672, 55721, 75798, 51158, 51316, 53872, 57855, 50856, 56663, 51065, 58207, 73041, 50859, 51076, 53521, 61733, 50856, 58210, 50754, 50310, 50859, 51078, 53521, 56047, 76135, 50887, 50998, 52218, 53612, 50363, 51202, 50891, 50799, 52326, 51359, 55390, 51359, 52102, 53380, 51465, 53380, 51249, 53380, 51349, 54153, 52095, 52281, 57086, 61252, 50754, 50305, 61845, 57236, 76135, 50952, 51065, 54951, 58600, 50879, 50947, 56053, 57395, 51065, 57845, 50754, 50305, 61845, 57617, 76135, 50952, 51065, 55799, 72242, 50879, 51169, 51048, 50856, 57481, 51065, 57502, 50754, 50305, 61845, 57278, 76135, 68258, 55721, 58600, 50879, 50947, 50918, 50856, 56663, 51065, 58207, 50754, 50305, 61845, 58210, 76135, 50952, 51065, 56047, 58600, 61845, 51258, 50799, 72242, 68258, 61252, 50754, 50305, 55768, 57236, 76135, 50952, 51065, 54951, 58600, 51158, 50947, 51048, 50856, 57395, 51065, 57845, 50754, 50305, 55768, 57617, 76135, 50952, 51065, 55799, 72242, 50879, 51169, 51048, 50856, 57481, 51065, 57502, 50754, 50305, 61845, 57278, 76135, 68258, 55721, 55683, 50961, 58600, 50879, 50947, 78886, 56663, 51349, 51159, 55683, 58986, 58207, 55683, 50882, 50754, 50305, 61845, 58210, 54570, 51030, 76135, 68258, 56047, 58600, 55855, 53612, 51258, 50799, 65047, 52821, 55349, 52821, 52102, 52821, 51465, 52821, 51249, 52821, 65047, 52024, 55349, 52024, 51640, 54153, 55683, 54452, 51187, 50366, 52281, 56231, 54744, 51594, 58156, 67408, 51594, 58362, 54744, 52282, 70320, 51544, 50982, 51532, 51306, 51361, 50982, 51556, 51306, 69835, 51572, 51306, 51180, 60571, 51719, 50840, 51249, 50840, 52109, 52675, 51306, 52320, 64364, 51719, 50840, 51249, 50840, 52109, 52675, 51306, 51453, 59506, 51719, 50840, 51651, 50840, 51672, 52675, 51306, 78937, 51264, 51249, 51264, 52109, 51264, 58907, 51402, 51306, 64858, 51510, 51306, 51544, 50982, 51532, 51306, 51361, 50982, 51556, 51306, 69835, 51572, 51306, 51180, 60571, 55683, 51139, 58547, 51640, 50914, 55683, 51139, 64364, 55683, 51594, 59923, 54570, 56832, 50982, 51621, 51306, 50799, 66417, 50943, 51410, 50943, 51719, 50943, 51249, 50943, 53655, 50943, 66417, 52024, 53655, 52024, 51181, 54153, 55683, 51594, 77298, 54744, 51594, 58156, 67408, 51594, 58362, 54744, 51551, 70320, 51544, 50982, 51532, 51306, 51361, 50982, 51556, 51306, 69835, 51572, 51306, 51180, 60571, 51719, 50840, 51249, 50840, 52109, 52675, 51306, 52320, 64364, 51719, 50840, 51249, 50840, 52109, 52675, 51306, 51453, 59506, 51719, 50846, 51672, 50846, 51651, 52675, 51306, 78937, 51264, 51249, 51264, 52109, 51264, 58907, 51402, 51306, 64858, 51510, 51306, 51544, 50982, 51532, 51306, 51361, 50982, 51556, 51306, 69835, 51572, 51306, 51180, 60571, 55683, 51139, 58547, 51181, 50914, 55683, 51139, 64364, 55683, 52633, 59923, 54570, 56832, 50982, 51621, 51306, 50799, 50655, 50279, 51218, 57081, 51218, 51410, 51417, 51719, 51417, 51249, 51417, 52571, 51417, 50655, 50279, 51264, 57081, 51264, 51857, 51894, 55683, 51594, 77298, 54744, 52633, 58156, 67408, 51594, 58362, 54744, 51551, 70320, 51544, 50982, 51532, 51306, 51361, 50982, 51556, 51306, 69835, 51572, 51306, 51180, 60571, 51719, 50840, 51672, 50840, 51457, 52675, 51306, 52320, 64364, 51719, 50840, 51457, 50840, 51672, 51582, 51306, 51453, 59506, 51719, 50846, 52109, 50846, 51249, 50840, 51857, 52217, 51306, 50799, 52109, 51003, 66165, 51696, 54369, 51359, 54369, 51264, 52571, 51359, 51465, 51359, 51465, 51264, 51249, 51264, 52109, 51264, 66165, 51359, 51374, 51307, 58907, 51402, 51306, 64858, 51510, 59180, 51672, 51003, 58907, 51532, 51306, 51361, 50982, 51556, 58930, 51249, 51003, 58907, 51572, 51306, 51180, 60571 ]

[ 0, 713, 8787, 5175, 2125, 6, 30291, 19, 25771, 4785, 6, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 20, 11006, 4122, 12, 1054, 330, 13305, 8, 6755, 12547, 185, 5, 483, 6, 7513, 30, 10, 31391, 1672, 9590, 6, 38668, 11212, 6, 8, 18558, 10, 25118, 6, 2351, 10, 15352, 30054, 5797, 990, 1506, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 5, 15229, 3905, 10, 33215, 16739, 9, 12608, 6, 272, 119, 406, 6, 274, 406, 6, 274, 119, 6, 8, 163, 428, 6, 6946, 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 ]

[ 54458, 50799, 57600, 54171, 52681, 51576, 50420, 52269, 51961, 50426, 53564, 55586, 50432, 53282, 66405, 55439, 59435, 56163, 51671, 53139, 51449, 52591, 52822, 64880, 50426, 52269, 54573, 50432, 53282, 52168, 50799, 63275, 53588, 53395, 51852, 53282, 52335, 50420, 52889, 52140, 50426, 54802, 56329, 50432, 53009, 51703, 53395, 57912, 50450, 52269, 51524, 50456, 58153, 55490, 52269, 52980, 52591, 52681, 51477, 50426, 53427, 54573, 50432, 53564, 54557, 50438, 53009, 51423, 50444, 52681, 51477, 50450, 58153, 51466, 50799, 64167, 54171, 57600, 52335, 52681, 51412, 50420, 52269, 69790, 53564, 54829, 50432, 53282, 51244, 50450, 55439, 77228, 56163, 51449, 53564, 52503, 52239, 52503, 53139, 51310, 52591, 55439, 51709, 50426, 55951, 68869, 52822, 54829, 53282, 52015, 50799, 63275, 52335, 53009, 52460, 53395, 51480, 53282, 77873, 52889, 52140, 50426, 54802, 55586, 50432, 53009, 51314, 50450, 52269, 63234, 58153, 52431, 52269, 51108, 52591, 53395, 52062, 52889, 53142, 50426, 52495, 53577, 50432, 53009, 53486, 50444, 58153, 53280, 52495, 55812, 50445, 52681, 52136, 50799, 52753, 51496, 57600, 51748, 52681, 52212, 52269, 55586, 53282, 52503, 50432, 53216, 51286, 53564, 63160, 50438, 52753, 51090, 53009, 51703, 50450, 51882, 51541, 52269, 52025, 50799, 52077, 52017, 58153, 51748, 52495, 53577, 52239, 53280, 52681, 52407, 50432, 53427, 56563, 50438, 52495, 51852, 50444, 52239, 54836, 50450, 52681, 69173, 53564, 54861, 50799, 52753, 50930, 52077, 51286, 63275, 52727, 52495, 52136, 50415, 53009, 52263, 52681, 54557, 50420, 52753, 64049, 52088, 50911, 57600, 54861, 50438, 52753, 51090, 52495, 63323, 53564, 53577, 50450, 53216, 51090, 54802, 52397, 50456, 57600, 51737, 50799, 51882, 52017, 53009, 53801, 52681, 51703, 52269, 52147, 53282, 52212, 50432, 53564, 53024, 50438, 52681, 51637, 52269, 51314, 50439, 53282, 51381, 50444, 53564, 55812, 50450, 53009, 80076, 52681, 51166, 50799, 52077, 50930, 51882, 51496, 53282, 51314, 50432, 52077, 51286, 53564, 70456, 51882, 51496, 52681, 51080, 52269, 51080, 53282, 61112, 53564, 57032, 50450, 52655, 51286, 53395, 52482, 50456, 52914, 51496, 53282, 51166, 50799, 56163, 51922, 52822, 55586, 52239, 53486, 50426, 51882, 51541, 50438, 52077, 78045, 52753, 51541, 55479, 58898, 50450, 52822, 73786, 53564, 52063, 50799, 52753, 51496, 57672, 51922, 54802, 55002, 52495, 51965, 53009, 52407, 53395, 56563, 50432, 52088, 51379, 53427, 63160, 50438, 52753, 51090, 54802, 63323, 52495, 54211, 50450, 51882, 51566, 53009, 52025, 50456, 53395, 52518, 50799, 52077, 50882, 51882, 52017, 57600, 51671, 52269, 51878, 53282, 51314, 50432, 53564, 57032, 50438, 52681, 51328, 50444, 52269, 54848, 50450, 53282, 80076, 53564, 54861, 50799, 52753, 50961, 50699, 50276, 51922, 52316, 52503, 57600, 51922, 53009, 53577, 52681, 52519, 52269, 54557, 50415, 52316, 71785, 52753, 64049, 53216, 50911, 53564, 65330, 50438, 52753, 51541, 53009, 51080, 52681, 51244, 74264, 53564, 58898, 50450, 51882, 51090, 52269, 51466, 50799, 52077, 52017, 54480, 51922, 51638, 52503, 58153, 51922, 52495, 52519, 52239, 54532, 52681, 52598, 50415, 51638, 51036, 50432, 53427, 63667, 50438, 52495, 51534, 74264, 52239, 52136, 50450, 52681, 52025, 50456, 53564, 51387, 50459, 52481, 51051, 50799, 52753, 50882, 52077, 51286, 59472, 51748, 52316, 53678, 53599, 51696, 63275, 52503, 52495, 52407, 53009, 51965, 50420, 52753, 64049, 52088, 51286, 57600, 63160, 50438, 52753, 51090, 53564, 52212, 52495, 51490, 53009, 51314, 52681, 51490, 60899, 53216, 51090, 50799, 51882, 52017, 50699, 50276, 51243, 51299, 51696, 51299, 57598, 52269, 52263, 53282, 52519, 50432, 53564, 60150, 50438, 52681, 51244, 52269, 51080, 51762, 50439, 53282, 79098, 53564, 55812, 50450, 53009, 52011, 50799, 52753, 51496, 51882, 51496, 50699, 50276, 51243, 51426, 51359, 64167, 51748, 52681, 51637, 50432, 52077, 51286, 57600, 55778, 50438, 51882, 51496, 51426, 51447, 52681, 51148, 52269, 51080, 74264, 53009, 52519, 50450, 52655, 51286, 57600, 53838, 50456, 52914, 51496, 50799, 55244, 51449, 51088, 51922, 77471, 56163, 51748, 53564, 54573, 52239, 52168, 52681, 52168, 53282, 56329, 50426, 51882, 51541, 50438, 52077, 51286, 74264, 52753, 51541, 53282, 72269, 52681, 69173, 52239, 52518, 50799, 52753, 52195, 57805, 51449, 51154, 51671, 51154, 51359, 57672, 51449, 52495, 51243, 53009, 51671, 52681, 51671, 50432, 52077, 51286, 53427, 58483, 50438, 51882, 51090, 53395, 51244, 60899, 52561, 51090, 50799, 52914, 52017, 51426, 51655, 51395, 65354, 54480, 54373, 52481, 55597, 51638, 52204, 58153, 51671, 53564, 52980, 52495, 52140, 53009, 51592, 52681, 52140, 51570, 52616, 53427, 55002, 50450, 53564, 52212, 50456, 52060, 59022, 52060, 58841, 52060, 50904, 50799, 51375, 51552, 51629, 51965, 53811, 50983, 51533, 50825, 58153, 52727, 53009, 51419, 52681, 51419, 52060, 70522, 70383, 52060, 54718, 51533, 51003, 51456, 60683, 51456, 52450, 53427, 54861, 50430, 51088, 51362, 50432, 51182, 51466, 52290, 51013, 52585, 51277, 53564, 52188, 52239, 51481, 52681, 51484, 50804, 50821, 55511, 50873, 52060, 57565, 51201, 51965, 51154, 51343, 52037, 51364, 51533, 51189, 53564, 52519, 52495, 51283, 52681, 51637, 51456, 50821, 50799, 51882, 51379, 51299, 52903, 51093, 56004, 52316, 77898, 51299, 66898, 51426, 66898, 56817, 50828, 55199, 50818, 51602, 51307, 57600, 52829, 53009, 56004, 52681, 53849, 52269, 55392, 53282, 55174, 59683, 52422, 51882, 51551, 59526, 51570, 62794, 53153, 52077, 57191, 51004, 51453, 51004, 50799, 52753, 51090, 51602, 51486, 59683, 52422, 52077, 62201, 54075, 51882, 52282, 50437, 51426, 67082, 51395, 52011, 65386, 51095, 60245, 50840, 52269, 51080, 50791, 51903, 53247, 59711, 51100, 58358, 50855, 52681, 51965, 50450, 51201, 51330, 51375, 50943, 54102, 51016, 55199, 50818, 51533, 52063, 53009, 52011, 50791, 54616, 51602, 51328, 53564, 51737, 50799, 52914, 51286, 52481, 52445, 51088, 52903, 51182, 57598, 55244, 66898, 51699, 66898, 51638, 66898, 53755, 54454, 54876, 50846, 51338, 51894, 56163, 52829, 52239, 52727, 53282, 57771, 59683, 52422, 52914, 51551, 59526, 51570, 62794, 53153, 52561, 51541, 50791, 54616, 55479, 66924, 59526, 50799, 51882, 51090, 51338, 51605, 53564, 52168, 59683, 52422, 52655, 63986, 54075, 52914, 52282, 55479, 63160, 50438, 51426, 50914, 51629, 51447, 65386, 51346, 60245, 50833, 53282, 51244, 50791, 51903, 53247, 53755, 51178, 54876, 50844, 52681, 52136, 50449, 51088, 57105, 52290, 51013, 53807, 50840, 51533, 51884, 52239, 52011, 50791, 54616, 51137, 50838, 53564, 54861, 50461, 51154, 52250, 50799, 52088, 51090, 52602, 50361, 50413, 53599, 60130, 51887, 66898, 52316, 68086, 51201, 54270, 52037, 52382, 53775, 50880, 51727, 51307, 57672, 54270, 53427, 57771, 54802, 57820, 52495, 55392, 53009, 58651, 59683, 52422, 51813, 62201, 54075, 52753, 51496, 51570, 62794, 53153, 52077, 57191, 51004, 51453, 51004, 50799, 52088, 53241, 51727, 51307, 59683, 50821, 51544, 54203, 54802, 51381, 52495, 51314, 53009, 51703, 50791, 51903, 53247, 55497, 53577, 50450, 53427, 52025, 50791, 54616, 51181, 51079, 54802, 51079, 50799, 52088, 51286, 75920, 52316, 57598, 53599, 66898, 51638, 60130, 54876, 50836, 64403, 50840, 51533, 52151, 58153, 55392, 52495, 55490, 53009, 53588, 52681, 53142, 59683, 52422, 52088, 51551, 59526 ]

[ 0, 713, 8787, 5175, 15229, 6, 30291, 19, 4785, 9, 3495, 6, 30853, 11, 10, 38971, 155, 73, 306, 86, 6543, 23, 10, 38451, 3938, 20889, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 24, 1575, 10, 5544, 14123, 24943, 217, 10, 6755, 12547, 6, 21979, 9590, 6, 17691, 28430, 6, 13305, 6, 8, 2342, 4467, 4, 13231, 5, 2125, 6, 10, 33215, 13931, 9, 230, 6, 272, 406, 73, 387, 6, 230, 6, 8, 274, 3639, 7, 63, 15352, 30054, 16426, 6, 7630, 14805, 10, 25306, 5466, 8, 10, 1472, 9, 657, 8, 26545, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50628, 51018, 71213, 52019, 50325, 51422, 50931, 51662, 57655, 51486, 50419, 51606, 54351, 51784, 65173, 51686, 55797, 51802, 60417, 51673, 53049, 50902, 52056, 52515, 54860, 51686, 50844, 51802, 64248, 51673, 56579, 52515, 55108, 50876, 51333, 52171, 50855, 52857, 54394, 51673, 63693, 52515, 57298, 52171, 50827, 52857, 50941, 78458, 52026, 50328, 51677, 50951, 51677, 53297, 51043, 58128, 51486, 50415, 57501, 51642, 50423, 52367, 50835, 57489, 63026, 53297, 50820, 57501, 54317, 50902, 51466, 52367, 51127, 57489, 51244, 50432, 52795, 56788, 52494, 53574, 50876, 51333, 52882, 56442, 52795, 54247, 52494, 57012, 52882, 50855, 71213, 60700, 51662, 50999, 51592, 52307, 51675, 57655, 51538, 50420, 51606, 50854, 52355, 58116, 51686, 50862, 51784, 53272, 50902, 52011, 51673, 50840, 51802, 54854, 51686, 50813, 51784, 57869, 51673, 50813, 51802, 54728, 50876, 51333, 52171, 50800, 52515, 54394, 51673, 50862, 51802, 58068, 52171, 50878, 52515, 51051, 51034, 50628, 51461, 51738, 50916, 51199, 50951, 51677, 51062, 51939, 58385, 62192, 52433, 50977, 52900, 50901, 51950, 55126, 50628, 51886, 50867, 55873, 69150, 52849, 50867, 51802, 70852, 52433, 50867, 52900, 50867, 58385, 56133, 51950, 65869, 51886, 50867, 52849, 50862, 51802, 64761, 55873, 52921, 50628, 51273, 52845, 50318, 52011, 51673, 50901, 52614, 50866, 52285, 51079, 55199, 52605, 50628, 51827, 50905, 52203, 50901, 51900, 51079, 54876, 52446, 50628, 51493, 52056, 50876, 51481, 52307, 50905, 51784, 51074, 54030, 70575, 51686, 53999, 50627, 51565, 50892, 52882, 50892, 52186, 51387, 53807, 50845, 51034, 50627, 51050, 59219, 61774, 59622, 58120, 51140, 52528, 51113, 51047, 51299, 52140, 51154, 51145, 52196, 51446, 50856, 50835, 56979, 51446, 53775, 52071, 53337, 51333, 50816, 56898, 53115, 50900, 53164, 50316, 51003, 51113, 50829, 51093, 51003, 51836, 53030, 56884, 50891, 55520, 51159, 51034, 51493, 51637, 51315, 65768, 51939, 50951, 51677, 51165, 51662, 51301, 52431, 51182, 51422, 53883, 78811, 59622, 50908, 58072, 51538, 53337, 52011, 50816, 57505, 54075, 51273, 61449, 51461, 53164, 50304, 51333, 50816, 56884, 53384, 70291, 73831, 51314, 51050, 52845, 50313, 51148, 50931, 51145, 51113, 51244, 51201, 51244, 51299, 52528, 53151, 61774, 59622, 50870, 56846, 51047, 53337, 52025, 51065, 56450, 57413, 51154, 73143, 52419, 52996, 50900, 78181, 71534, 51003, 51836, 51003, 51065, 56450, 50837, 55520, 50943, 51034, 52157, 52528, 50906, 51692, 50997, 52528, 50899, 52916, 51251, 52528, 51065, 60600, 64565, 51165, 51592, 51154, 51939, 52032, 51422, 57778, 51422, 54439, 51775, 51065, 59500, 52896, 50871, 51097, 51065, 62653, 57989, 51154, 51939, 51034, 51461, 52980, 50900, 65186, 51562, 51113, 52528, 51299, 53866, 50801, 58400, 50891, 56979, 51417, 50415, 52196, 51562, 53645, 51447, 51065, 59500, 53018, 50877, 51411, 52196, 62390, 58400, 50891, 56979, 76019, 52318, 51074, 79515, 52431, 73750, 50899, 52431, 50871, 54573, 51154, 51097, 51251, 52140, 51113, 50995, 52196, 51400, 50801, 60495, 50870, 56979, 51267, 60564, 50995, 51088, 51253, 78256, 52032, 69242, 59622, 50870, 57778, 51400, 50437, 51113, 54498, 50876, 50981, 51093, 50932, 51836, 51056, 51065, 56061, 50837, 55520, 51377, 56752, 50825, 51034, 52157, 52431, 50997, 77418, 51662, 50902, 52140, 51165, 52140, 51107, 51662, 51251, 51965, 50801, 59622, 57392, 52601, 51486, 55749, 51518, 53337, 51330, 51065, 62653, 53962, 51301, 51481, 57019, 51330, 51154, 64648, 57086, 50982, 78458, 77418, 52140, 50876, 52140, 51093, 51592, 51301, 50932, 51836, 51675, 50801, 50870, 55520, 51692, 50415, 51461, 52056, 51165, 52140, 51065, 52976, 51273, 53164, 50306, 51333, 51251, 64648, 57505, 53115, 51493, 51709, 50900, 51333, 51299, 64648, 59622, 54485, 50856, 51129, 73831, 51592, 51050, 65186, 51148, 51154, 51148, 51299, 51592, 51113, 51592, 52196, 64270, 67743, 50863, 56979, 51562, 53337, 51466, 50816, 57505, 53115, 50900, 53164, 50316, 50995, 51093, 51097, 51836, 51267, 50816, 56898, 50908, 55520, 50943, 51034, 51493, 51637, 51315, 65768, 51680, 50951, 51662, 51182, 52140, 51301, 52431, 50801, 56884, 50870, 58072, 51518, 50415, 51165, 52140, 53883, 51677, 53337, 51333, 50816, 60495, 53575, 51273, 64896, 51461, 52454, 50304, 51333, 50816, 57112, 53325, 73886, 64688, 68295, 51244, 50931, 51244, 51113, 51244, 51299, 52140, 51201, 51314, 53151, 51145, 51065, 50835, 56846, 51562, 50415, 51140, 65345, 52966, 50899, 51333, 50816, 57505, 58286, 51154, 65461, 52419, 51806, 50900, 66102, 50981, 51093, 50981, 51836, 70229, 57086, 50908, 55520, 51377, 51034, 52157, 52528, 50997, 52431, 50899, 52528, 50906, 51662, 51251, 75034, 51939, 50801, 58400, 50870, 57778, 51518, 50415, 51154, 51939, 52032, 51518, 54439, 51108, 51301, 64648, 57505, 52958, 50871, 50932, 51251, 64648, 56898, 53384, 50801, 50908, 51034, 51461, 52140, 50900, 59219, 51148, 51299, 51592, 51113, 51080, 51065, 55401, 57392, 51154, 51939, 52196, 51127, 56979, 51417, 53645, 51080, 50816, 56898, 52958, 71090, 51093, 51097, 51836, 68215, 57086, 50908, 55520, 51377, 51034, 51461, 51806, 50916, 64900, 51312, 50900, 52140, 51088, 51097, 51299, 51592, 51093, 68108, 59622, 66583, 51836, 51400, 55520, 76186, 51273, 51199, 50871, 67889, 51097, 51107, 51097, 51113, 51097, 52601, 69242, 57086, 50908, 55749, 69205, 51493, 52056, 50861, 62722, 75034, 50932, 51266, 50932, 54012, 51400, 50816, 57507, 50863, 57089, 51255, 56752, 50928, 73831, 52140, 50871, 78504, 51939, 50877, 51939, 51201, 51939, 51154, 52140, 50801, 59622, 50870, 56846, 51790, 50415, 51113, 52140, 53151, 51675, 50420, 53775, 56174, 53807, 50844, 53337, 51333, 50816, 57086, 50891, 54030, 52559, 53775, 54077, 50900, 51333, 50816, 56898, 50908, 55199, 54305, 54030, 50854, 64688, 52845, 50313, 51939, 50931, 52140, 51113, 51477, 51154, 51637, 53151, 51562, 50801, 59622, 50863, 56846, 51218, 57655, 51295, 50415, 51140, 51637, 51201, 51310, 53337, 51330, 50816, 57505, 53670, 51493, 51166, 51088, 50974, 51301, 50905, 51266, 50838, 51321, 50982, 57089, 51177, 68005, 51709, 74094, 51107, 50995, 51154, 51380, 51251, 51199, 52196, 66610, 56898, 58751, 55749, 51056, 50444, 52032, 50901, 51034, 51461, 52783, 51085, 51330, 70165, 55376, 50906, 51318, 50951, 51692, 51093, 51939, 51266, 51939, 51088, 51518, 51565, 51204, 52186, 51295, 51065, 50837, 58072, 51745, 56947, 51466, 50816, 56898, 53814, 50876, 51058, 51752, 50977, 54246, 51058, 55520, 51138, 62204, 51253, 50997, 51108, 51752, 51267, 54246, 51411, 50816, 57507, 50891, 55520, 51932, 50444, 51098, 52518, 50449, 51301, 51677, 51165, 52140, 68423, 51447, 50968, 51312, 50900, 64897, 51662, 51107, 52431, 51789, 51109, 52278, 66778, 58400, 50908, 57089, 51735, 53337, 52845, 50318, 51097, 51596, 51400, 52714, 51003, 51065, 56450, 50829, 55749, 51603, 50438, 51461, 53126, 50308, 61341, 50995, 51752, 51056, 54246, 52056, 50816, 56898, 50870, 55520, 63523, 51321, 65589, 51154, 51662, 51113, 51592, 51093, 52431, 73831, 52140, 50871, 53164, 50313, 51397, 52155, 51145, 55008, 51749, 50801, 59622, 50891, 56979, 52097, 56248, 64648, 57086, 53115, 50899, 78181, 50915, 51752, 51003, 55008, 64989, 56898, 50870, 55520, 51500, 56752, 50891, 51034, 51216, 51709, 50900, 60700, 51692, 50877, 51592, 51606, 51692, 52355, 51939, 51065, 55401 ]

[ 0, 4688, 9066, 5175, 2214, 19, 10, 2933, 8, 15352, 30054, 5466, 6, 4246, 81, 9756, 8669, 6, 38668, 3038, 6, 21072, 6, 13305, 6, 8, 17605, 9590, 4, 8504, 11, 5, 762, 9, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 8060, 13410, 228, 2289, 4, 20, 15229, 29769, 198, 5, 40286, 9, 12608, 6, 211, 6, 8, 272, 119, 6, 2351, 41, 814, 12, 21330, 8, 25306, 676, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 50799, 50746, 50280, 51492, 50796, 50796, 50454, 66299, 51419, 57732, 53280, 74571, 78242, 50847, 54177, 50988, 51862, 50425, 50752, 50292, 51717, 59812, 51824, 69011, 50872, 55544, 50988, 69658, 51332, 52407, 77938, 50847, 53999, 50988, 52167, 50450, 50885, 51851, 55688, 50872, 53820, 50885, 51129, 50848, 63877, 50857, 51598, 51697, 50459, 50988, 50863, 57732, 51965, 50979, 56713, 50905, 52241, 56599, 50746, 50292, 75361, 50988, 52946, 59812, 51142, 66397, 50872, 55544, 50988, 52179, 50438, 51332, 51965, 50979, 57769, 55103, 50988, 53430, 69076, 64130, 50992, 59753, 66299, 52059, 50456, 50988, 50928, 57902, 50872, 50839, 51598, 50838, 72446, 61763, 50872, 51464, 50829, 57732, 51318, 75419, 50847, 50845, 51704, 54171, 51190, 51225, 54202, 50988, 52976, 74305, 50848, 58590, 54342, 50988, 53024, 50437, 50752, 50333, 52122, 50438, 51332, 51878, 50979, 57769, 68861, 67377, 57138, 50988, 52179, 50450, 50885, 51693, 55315, 60942, 50453, 50885, 54622, 50988, 50907, 51598, 52858, 50295, 51286, 74269, 50979, 50974, 52066, 57732, 55812, 50847, 50905, 52241, 53486, 50852, 50972, 50415, 51085, 57676, 50420, 50988, 51550, 59812, 57574, 50306, 63406, 53052, 50988, 75594, 51332, 51878, 50979, 51008, 64957, 50444, 50988, 55634, 62374, 50848, 55029, 50854, 59327, 50363, 50410, 50702, 50335, 50359, 50410, 50456, 50885, 55181, 51365, 50459, 50988, 51022, 52066, 57732, 51965, 50979, 51008, 65078, 52385, 50420, 50988, 50984, 54928, 51510, 54504, 50885, 51365, 60577, 55904, 51287, 51225, 54661, 50988, 51862, 50791, 56298, 51332, 51283, 63918, 50847, 56423, 68861, 66299, 65330, 50444, 50988, 51297, 69440, 55723, 75979, 63010, 69274, 51248, 50958, 53586, 50988, 50912, 54770, 56975, 50974, 57732, 51709, 71037, 63010, 64829, 52241, 51939, 51762, 57783, 51000, 50872, 50857, 63255, 55904, 50885, 51079, 60454, 51332, 51535, 63010, 51190, 50958, 52417, 50988, 50907, 66299, 55811, 50791, 54137, 71037, 50979, 75381, 50311, 50845, 74264, 73490, 67846, 56890, 51332, 50851, 50872, 51095, 54770, 55559, 50873, 50455, 52357, 54418, 51791, 50867, 52241, 52216, 50335, 50880, 59234, 50874, 51386, 50827, 67377, 52782, 50791, 71256, 51062, 51014, 50459, 59234, 50851, 51386, 50984, 74015, 51318, 65491, 50872, 50901, 52576, 52062, 50681, 50278, 52222, 51611, 52151, 50791, 57437, 51164, 50972, 51956, 51510, 52928, 68867, 50885, 56558, 52953, 51164, 50984, 50848, 55316, 65867, 50872, 59701, 50752, 50331, 53002, 50438, 52021, 51381, 50872, 50901, 51471, 57403, 50864, 55867, 52397, 51468, 73091, 51037, 50886, 50847, 50820, 51081, 51238, 50852, 55423, 74969, 50847, 54194, 58518, 52241, 51432, 58497, 50912, 51521, 50905, 74269, 67984, 50799, 55518, 51412, 50885, 50972, 54770, 53142, 51062, 51977, 52305, 52071, 51511, 52069, 51931, 50420, 51751, 53600, 53868, 56457, 51396, 50959, 74571, 50852, 54342, 50848, 59074, 65867, 55518, 51203, 50979, 50810, 51570, 50892, 51180, 50835, 51618, 52763, 51396, 61600, 55097, 51751, 57708, 50822, 67377, 51432, 50456, 52241, 52179, 51405, 50812, 51787, 50854, 51062, 50829, 58497, 50974, 51521, 50974, 74269, 53160, 51310, 75979, 50848, 50833, 64170, 50959, 51598, 53486, 51339, 50918, 51942, 51680, 51063, 51742, 51471, 50417, 51171, 51022, 51039, 53899, 66333, 58139, 51042, 56254, 54883, 51171, 51470, 51361, 54248, 53160, 51534, 59973, 50979, 61169, 51405, 51189, 51570, 54656, 51171, 54682, 54770, 51174, 55867, 55197, 67534, 63919, 50848, 50901, 51956, 50448, 52607, 52985, 50852, 55097, 51751, 50835, 54770, 51174, 50454, 51487, 51364, 50456, 51171, 50971, 74269, 51332, 51627, 50979, 50833, 66509, 52168, 58259, 50851, 51155, 50907, 51931, 64699, 51748, 59327, 59519, 50702, 50335, 52988, 59234, 52222, 51386, 52062, 51931, 50752, 50328, 53295, 50417, 50988, 51252, 51039, 52670, 74571, 50848, 56362, 53063, 50988, 51432, 66290, 51332, 50932, 66276, 61974, 50988, 51365, 51956, 73091, 61161, 50979, 56794, 59644, 52160, 56711, 51791, 50813, 51598, 53024, 59234, 50838, 51386, 51079, 66299, 51697, 51956, 74015, 51318, 67102, 50872, 50873, 52576, 52519, 50681, 50278, 51243, 51611, 52062, 51767, 53849, 51931, 50420, 51164, 51269, 57451, 51037, 60193, 53063, 50885, 60621, 60518, 50841, 52576, 50907, 66290, 52021, 51480, 69047, 78351, 50992, 50812, 52576, 52256, 61974, 51164, 50851, 51956, 73091, 52021, 50825, 79293, 61377, 50847, 57383, 59753, 59411, 53726, 50456, 51164, 50840, 50979, 54190, 51004, 52576, 50851, 51956, 50458, 52241, 51210, 50459, 58079, 50799, 55518, 50914, 51396, 73945, 54558, 50307, 50897, 50992, 50925, 52426, 51283, 52305, 51183, 51511, 52168, 76457, 51751, 51058, 72274, 55239, 51396, 50844, 50885, 59529, 59643, 66975, 52953, 51396, 51750, 60282, 51751, 53614, 67637, 78351, 64829, 52426, 51381, 51931, 50441, 51396, 53743, 51751, 50867, 75132, 51396, 50833, 59056, 77922, 62062, 50872, 52152, 57098, 66299, 51337, 50456, 51396, 50854, 52426, 50867, 52305, 50844, 51511, 50827, 69749, 51751, 50833, 52305, 50874, 51511, 65736, 51856, 78927, 74491, 51562, 74232, 61995, 50847, 50812, 51598, 51145, 69849, 52431, 50702, 50335, 52528, 66346, 52151, 51942, 52071, 51063, 52071, 51931, 50420, 51171, 50904, 62446, 50988, 51589, 52712, 50885, 56954, 50952, 50847, 52108, 51759, 52953, 50988, 55181, 65867, 51171, 54793, 53160, 51411, 51042, 61575, 50897, 62486, 51632, 51480, 50791, 55103, 51171, 50867, 78718, 50988, 50892, 71950, 56740, 50848, 50862, 61735, 61311, 52343, 57957, 51759, 55423, 51751, 57098, 55867, 53726, 50455, 51347, 68334, 50456, 51164, 50854, 51507, 50851, 66346, 51254, 58497, 50905, 51521, 50905, 53316, 50838, 56032, 56046, 51751, 50841, 57732, 51189, 50885, 59415, 50830, 50847, 50840, 51704, 51397, 59327, 52335, 50702, 50335, 51243, 66509, 52222, 59234, 52069, 51386, 52151, 53005, 55126, 50988, 53156, 50933, 51510, 52580, 50885, 56362, 50974, 77627, 52726, 50848, 65451, 53111, 50972, 50433, 50798, 58742, 51332, 51145, 50436, 50798, 53418, 50988, 50974, 51704, 51318, 70275, 50962, 57403, 50833, 57896, 67951, 52768, 50885, 59536, 53831, 59154, 59411, 52256, 50456, 61735, 51704, 50822, 59234, 50838, 51386, 50892, 52924, 67590, 51347, 56551, 50885, 50835, 66333, 51497, 63849, 51507, 50851, 74015, 51313, 62062, 50872, 50849, 52237, 51419, 60047, 53588, 63597, 52335, 50681, 50278, 51445, 51611, 51243, 51245, 53303, 52853, 67075, 51245, 57214, 51164, 59251, 54335, 68689, 58079, 55688, 50872, 55742, 52625, 54342, 51164, 50867, 52237, 56240, 52853, 60282, 51037, 53614, 50848, 50862, 57896, 52237, 51310, 52963, 69641, 51497, 51115, 50441, 51037, 54653, 51164, 50905, 52924, 76791, 50979, 55269, 53632, 51739, 50844, 51899, 51858, 67763, 66299, 53096, 78391, 52343, 50901, 62203, 50972, 50457, 51856, 57651, 68689, 50848, 62764, 53825, 51010, 50460, 51583, 50822, 50799, 55518, 51134, 67693, 74805, 65500, 52426, 51945, 59327, 52727, 50702, 50336, 52071, 52305, 51714, 51511, 52069, 50791, 73826, 51347, 74910, 51010, 51039, 52688, 63062, 72591, 50992, 63273, 63794, 50816, 56257, 51396, 54220, 63936, 50798, 58742, 51751, 54123, 55518, 50891, 61161, 50848, 55269, 50925, 51471, 60669, 52940, 55518, 51589, 60822, 50798, 58017, 51751, 71765, 50798, 51757, 50885, 50839, 55972, 62486, 50852, 58351, 50816, 66250, 51396, 74022, 51347, 52863, 51751, 50844, 51704 ]

[ 0, 250, 2933, 8, 15352, 30054, 5175, 19834, 4246, 81, 9756, 8669, 6, 13305, 6, 24896, 6, 3459, 9590, 6, 8, 21072, 6, 278, 11, 10, 2635, 361, 73, 306, 86, 6543, 8, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 13931, 9, 381, 12361, 6, 230, 73, 717, 6, 381, 12361, 6, 8, 230, 406, 73, 717, 6, 2351, 10, 19448, 8, 5679, 26709, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 51571, 50983, 55390, 51343, 51069, 51496, 50422, 51347, 79260, 61649, 51839, 50967, 51414, 51175, 50434, 51571, 51091, 55390, 51362, 51069, 51541, 50438, 51347, 79260, 51016, 50446, 51839, 50830, 51414, 58631, 51571, 50983, 55390, 51343, 51069, 51496, 50458, 51347, 79260, 51016, 50799, 51839, 50967, 51414, 51175, 50422, 51571, 51091, 55390, 51362, 51069, 51541, 50426, 51943, 50807, 52102, 51016, 51206, 77045, 51206, 56789, 51206, 61924, 51206, 53998, 51206, 61075, 51839, 50830, 51414, 50940, 51206, 56524, 51206, 61360, 51206, 54077, 51571, 50983, 55390, 51343, 51069, 51496, 51206, 68273, 51206, 59138, 51206, 62801, 51206, 54305, 51206, 60812, 51943, 50807, 52102, 51016, 51206, 54417, 51206, 59433, 51206, 52800, 51839, 50967, 51414, 51175, 51206, 73745, 51206, 58186, 51206, 64405, 51206, 54583, 51206, 62705, 51571, 51091, 55390, 51362, 51069, 51541, 51206, 57326, 51206, 59026, 51206, 50836, 50799, 51943, 50807, 52102, 51016, 51206, 75240, 51206, 58093, 51206, 60400, 51206, 54507, 51206, 58741, 51839, 50830, 51414, 50940, 51206, 53467, 51206, 52329, 51571, 50983, 55390, 51343, 51069, 51496, 51206, 75980, 51206, 59974, 51206, 66428, 51206, 52359, 51206, 57307, 51856, 71520, 51016, 51206, 53307, 51206, 58566, 51206, 53813, 51839, 50967, 51414, 51175, 51206, 63608, 51206, 56442, 51206, 62859, 51206, 54465, 51206, 62813, 51571, 51091, 55390, 51362, 51069, 51541, 51206, 57012, 51206, 61230, 51206, 53938, 51856, 71520, 51016, 51206, 73745, 51206, 55726, 51206, 60425, 51206, 53211, 51206, 61996, 51839, 50830, 51414, 50940, 51206, 57400, 51206, 59854, 51206, 50867, 64376, 50983, 55390, 51343, 51069, 51496, 51206, 76328, 51206, 60209, 51206, 66182, 51206, 55394, 51206, 59993, 51856, 71520, 51016, 51206, 55470, 51206, 60417, 51206, 54317, 51839, 50967, 51414, 51175, 50434, 51571, 51091, 55390, 51362, 51069, 51541, 50438, 51943, 50807, 52102, 51016, 51206, 69506, 51206, 57917, 51206, 64101, 51206, 54758, 51206, 61794, 51839, 50830, 51414, 50940, 51206, 56518, 51206, 60062, 51206, 52800, 51571, 50983, 55390, 51343, 51069, 51496, 51206, 73745, 51206, 58186, 51206, 63152, 51206, 53875, 51206, 60135, 51943, 50807, 52102, 51016, 51206, 56249, 51206, 57747, 51206, 50809, 50799, 51839, 50967, 51414, 51175, 51206, 76330, 51206, 61060, 51206, 59182, 51206, 54507, 51206, 58745, 51571, 51091, 55390, 51362, 51069, 51541, 51206, 55155, 51206, 61823, 51206, 53901, 51943, 50807, 52102, 51016, 51206, 61822, 51206, 57050, 51206, 61699, 51206, 53860, 51206, 61075, 51839, 50830, 51414, 50940, 51206, 55643, 51206, 54728, 51571, 50983, 55390, 51343, 51069, 51496, 50446, 51347, 50807, 56984, 79260, 58833, 51839, 50967, 51414, 51175, 50458, 51571, 51091, 55390, 51362, 51069, 51541, 50799, 51347, 50807, 56984, 79260, 51016, 50422, 51839, 50830, 51414, 58216, 51571, 50983, 55390, 51343, 51069, 51496, 50434, 51347, 50807, 56984, 79260, 59306, 51839, 50967, 51414, 51175, 50446, 51571, 51091, 55390, 51362, 51069, 51541, 50450, 51943, 50807, 67258, 50807, 52102, 51016, 51206, 73951, 51206, 57186, 51206, 64833, 51206, 55370, 51206, 62309, 51839, 50830, 51414, 50940, 51206, 57400, 51206, 59854, 51206, 50813, 64376, 50983, 55390, 51343, 51069, 51496, 51206, 73051, 51206, 59196, 51206, 66179, 51206, 54402, 51206, 58745, 51943, 50807, 67258, 50807, 52102, 51016, 51206, 55081, 51206, 58067, 51206, 52329, 51839, 50967, 51414, 51175, 51206, 75980, 51206, 59974, 51206, 58607, 51206, 53810, 51206, 58322, 51571, 51091, 55390, 51362, 51069, 51541, 51206, 55310, 51206, 59921, 51206, 53894, 51943, 50807, 67258, 50807, 52102, 51016, 51206, 67635, 51206, 56714, 51206, 62801, 51206, 54305, 51206, 61794, 51839, 50830, 51414, 50940, 51206, 57091, 51206, 53996, 51571, 50983, 55390, 51343, 51069, 51496, 51206, 73951, 51206, 57186, 51206, 64833, 51206, 55370, 51206, 62309, 51856, 71520, 51016, 51206, 57400, 51206, 59854, 51206, 50813, 50799, 51839, 50967, 51414, 51175, 51206, 73051, 51206, 59196, 51206, 66179, 51206, 54402, 51206, 58745, 51571, 51091, 55390, 51362, 51069, 51541, 51206, 55081, 51206, 58067, 51206, 52329, 51856, 71520, 51016, 51206, 75980, 51206, 59974, 51206, 58607, 51206, 53810, 51206, 58322, 51839, 50830, 51414, 50940, 51206, 55310, 51206, 59921, 51206, 54431, 51571, 50983, 55390, 51343, 51069, 51496, 51206, 67635, 51206, 56714, 51206, 60964, 51206, 54305, 51206, 61794, 51856, 71520, 51016, 51206, 56317, 51206, 64891, 51206, 53996, 51839, 50967, 51414, 51175, 50458, 51571, 51091, 55390, 51362, 51069, 51541, 50799, 51943, 50807, 52102, 51016, 51206, 75245, 51206, 59834, 51206, 66182, 51206, 55394, 51206, 60999, 51839, 50830, 51414, 50940, 51206, 56133, 51206, 60811, 51206, 52524, 51571, 50983, 55390, 51343, 51069, 51496, 51206, 67691, 51206, 57903, 51206, 62225, 51206, 53695, 51206, 59890, 51943, 50807, 52102, 51016, 51206, 55782, 51206, 58291, 51206, 52444, 51839, 50967, 51414, 51175, 51206, 77118, 51206, 59846, 51206, 59586, 51206, 54400, 51206, 59137, 51571, 51091, 55390, 51362, 51069, 51541, 51206, 55932, 51206, 61230, 51206, 53938, 51943, 50807, 52102, 51016, 51206, 73745, 51206, 55726, 51206, 62802, 51206, 54199, 51206, 62309, 51839, 50830, 51414, 50940, 51206, 57187, 51206, 50864, 50799, 51497, 51036, 53992, 51036, 55390, 51175, 51069, 76721, 50983, 51206, 51161, 50422, 51476, 58216, 51414, 51175, 50434, 55390, 50940, 51069, 72167, 64740, 51476, 51175, 50446, 51414, 58631, 55390, 51175, 51069, 76721, 50983, 50458, 51476, 50940, 50799, 51497, 50807, 53992, 50807, 51414, 51175, 50422, 55390, 50940, 51069, 72167, 65183, 51497, 51036, 53992, 51036, 52102, 51175, 50434, 51414, 59826, 55390, 51175, 51069, 76721, 50983, 50446, 52102, 58631, 51414, 51175, 50458, 55390, 50940, 51069, 72167, 51091, 79480, 51175, 50422, 51414, 58216, 51497, 50807, 53992, 50807, 55390, 51175, 51069, 76721, 50983, 51206, 51161, 50434, 51687, 59826, 51839, 50807, 52813, 50807, 51414, 51175, 50446, 55390, 50940, 51069, 72167, 63419, 51593, 50807, 52064, 71520, 51175, 50458, 51414, 50940, 50799, 52232, 50807, 53928, 50807, 55390, 51175, 51069, 76721, 50983, 50422, 51687, 58216, 51593, 50967, 52064, 50967, 51414, 51175, 50434, 52232, 50809, 53928, 50809, 55390, 50940, 51069, 72167, 51091, 50436, 51593, 50809, 52064, 52444, 51839, 50807, 52813, 50807, 52102, 51175, 50446, 51414, 58631, 51497, 51492, 53992, 51492, 55390, 51175, 51069, 76721, 50983, 50458, 52102, 50940, 74149, 51175, 50422, 55390, 50940, 51069, 72167, 65183, 52102, 51175, 50434, 51414, 59826, 55390, 51175, 51069, 76721, 50983, 51206, 51161, 50446, 51476, 58631, 51414, 51175, 50458, 55390, 50940, 51069, 72167, 51091, 61323, 51175, 50422, 51414, 58216, 55390, 51175, 51069, 76721, 50983, 50434, 51476, 59826, 51414, 51175, 50446, 55390, 50940, 51069, 72167, 63419, 52102, 51175, 50458, 51414, 50940, 50799, 55390, 51175, 51069, 76721, 50983, 51206, 51161, 50422, 52102, 58216, 51414, 51175, 50434, 55390, 50940, 51069, 72167, 64740, 52102, 51175, 50446, 51414, 58631, 55390, 51175, 51069, 76721, 50983, 50458, 51687, 50940, 74149, 51175, 50422, 55390, 50940, 51069, 72167, 65183, 51687, 51175, 50434, 51414, 59826, 55390, 51175, 51069, 76721, 50983, 50446, 51687, 58631, 51414, 51175, 50458, 55390, 50940, 51069, 72167, 51091, 79480, 51175, 50422 ]

[ 0, 250, 15352, 30054, 5175, 1619, 2214, 19, 15855, 16882, 6, 4246, 13305, 6, 38668, 22052, 6, 6168, 3540, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 272, 119, 6, 230, 119, 6, 274, 6, 12608, 6, 8, 163, 428, 3639, 7, 63, 12298, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50415, 51533, 64418, 51551, 50843, 51138, 50416, 51197, 50921, 50951, 51362, 50906, 51294, 63950, 51174, 50417, 56265, 51079, 56363, 51100, 54969, 51142, 50843, 63867, 52650, 51166, 54439, 50914, 53267, 51753, 50903, 52045, 50843, 54367, 51492, 50429, 54254, 70057, 50997, 50805, 53039, 51470, 51533, 51192, 50843, 61647, 54254, 51862, 63451, 63837, 51496, 51147, 51552, 56456, 51172, 51727, 65907, 63185, 51012, 50441, 53715, 52059, 55513, 50805, 52650, 51862, 50843, 59414, 54757, 63050, 50965, 50914, 52566, 51753, 50832, 52379, 50843, 68454, 54757, 56120, 53000, 51365, 72407, 50805, 54740, 51008, 51727, 52090, 52732, 58565, 53000, 52179, 54955, 68550, 51552, 51081, 51761, 55228, 51337, 51533, 64418, 51364, 50843, 51012, 50417, 53472, 51309, 54569, 50805, 52650, 61724, 59573, 53267, 51961, 60564, 51110, 52697, 51277, 50816, 51655, 50843, 66094, 53039, 51470, 58296, 50795, 54428, 51051, 51533, 52090, 59312, 63363, 53039, 51862, 63451, 57253, 51661, 51147, 52097, 56456, 52188, 51727, 64418, 51103, 50843, 51012, 50441, 53715, 52378, 55513, 50805, 53118, 51277, 50843, 67636, 54757, 52034, 50450, 50965, 50849, 52566, 51797, 50903, 51492, 50843, 55367, 52379, 50453, 53000, 54622, 50900, 50849, 54740, 51174, 51727, 55422, 54093, 53000, 51269, 55881, 58801, 69517, 51896, 63950, 51174, 51533, 65907, 51336, 50843, 51012, 50416, 56265, 52192, 50418, 54969, 51862, 56363, 50807, 52650, 51166, 50843, 50879, 50422, 53267, 51123, 50424, 54254, 51051, 54439, 51238, 53267, 51432, 50816, 51675, 50843, 60095, 54089, 50428, 52650, 50984, 50430, 54969, 51142, 63931, 50805, 52650, 51365, 51137, 51192, 50843, 73308, 53267, 51269, 50436, 52650, 53569, 51026, 51013, 53715, 50904, 51338, 64418, 68754, 51012, 50440, 54969, 51142, 50442, 52650, 57138, 50902, 51192, 50906, 50807, 52566, 62759, 69117, 54254, 51862, 50448, 53039, 54915, 50876, 70354, 50806, 53647, 68376, 59510, 56769, 50451, 53039, 62375, 54254, 68357, 52566, 53553, 50956, 63785, 52370, 50321, 50923, 54969, 50912, 51338, 57725, 51145, 50843, 68571, 53715, 52167, 50459, 52650, 74373, 54969, 51022, 57190, 50940, 50876, 52362, 50300, 50807, 53118, 50907, 51132, 64418, 54982, 51012, 50417, 59862, 51797, 62143, 68550, 50806, 53118, 51797, 50843, 60147, 54757, 53096, 56546, 57367, 52370, 50307, 51124, 52566, 54923, 51343, 50843, 64627, 53000, 53052, 50931, 69718, 50795, 52566, 51142, 51132, 59557, 63185, 61647, 73764, 54757, 58946, 50997, 63191, 51160, 50876, 50896, 56265, 51337, 51727, 51285, 50843, 51012, 50440, 53118, 51376, 50442, 53267, 73505, 50965, 51090, 52697, 72494, 54982, 50974, 50446, 53000, 70635, 54428, 58248, 50951, 51286, 50902, 51379, 53000, 69372, 52732, 59384, 51003, 50452, 52697, 51365, 50454, 53267, 56838, 50997, 50897, 53118, 54438, 56649, 57290, 78442, 53472, 64224, 56265, 60863, 52402, 51894, 54594, 68035, 51204, 51197, 51675, 51533, 58249, 51274, 50843, 74947, 56125, 52528, 55931, 51939, 51615, 51894, 51863, 51894, 53042, 51274, 56363, 59689, 53890, 50956, 52918, 51469, 50843, 51736, 50861, 51100, 50951, 51364, 51533, 53690, 55185, 50873, 50437, 54650, 51167, 64574, 51189, 51533, 58249, 51077, 50843, 62148, 55872, 55451, 50861, 66799, 51798, 50906, 51048, 60047, 50995, 51727, 62909, 52017, 50843, 52931, 51001, 52098, 50302, 51101, 50843, 50795, 53602, 51585, 50461, 51615, 51894, 51863, 51486, 51838, 51486, 55881, 61686, 50846, 56125, 50870, 55931, 50835, 60047, 51939, 51533, 54749, 63185, 59413, 50899, 70483, 60693, 51364, 51026, 51486, 55931, 52528, 64069, 50867, 51181, 50895, 51137, 51016, 54569, 59312, 52483, 50861, 56946, 52208, 50843, 52309, 50902, 50889, 51137, 53393, 78570, 54993, 51081, 51141, 50843, 52313, 50906, 50795, 51727, 59569, 74256, 50893, 50449, 53602, 51055, 63932, 55143, 50914, 64069, 62877, 52208, 50843, 50923, 50455, 51181, 65651, 50951, 66867, 51177, 50843, 50879, 50461, 52340, 51486, 51711, 51486, 52795, 51196, 54955, 74220, 74944, 50818, 55931, 50908, 60047, 50825, 51137, 54749, 74256, 50802, 52255, 51486, 76301, 52014, 50324, 50983, 51176, 51894, 59642, 55490, 59327, 51592, 72240, 50835, 51602, 51016, 58097, 58376, 55341, 50965, 57439, 52379, 50843, 50849, 50431, 51602, 54154, 51001, 76916, 57394, 59689, 54233, 50965, 50873, 51602, 72706, 51103, 50843, 50802, 53602, 55451, 50876, 60775, 55125, 51001, 50805, 72240, 51253, 51533, 51290, 50816, 53601, 50843, 50873, 55872, 76342, 51147, 66782, 51177, 50843, 75166, 52402, 51894, 51863, 51894, 53602, 52500, 58526, 62282, 50809, 59642, 51297, 59327, 50837, 50702, 50336, 50835, 51602, 53690, 51790, 50843, 59413, 55931, 52140, 72240, 51939, 51615, 51894, 50416, 50861, 51048, 51197, 51091, 56125, 57232, 51533, 51016, 56363, 66696, 52688, 50956, 51626, 51527, 50843, 54259, 50906, 51100, 51001, 51336, 50951, 51336, 51533, 61826, 54233, 50956, 50849, 54311, 55509, 52313, 75172, 54311, 54187, 78570, 54323, 50997, 71673, 51110, 60047, 50995, 51727, 56956, 51551, 50843, 58705, 51197, 50854, 51727, 57468, 56015, 52250, 53042, 62516, 53042, 63604, 51863, 51894, 53042, 51100, 54594, 68035, 51204, 51197, 51675, 56125, 52528, 55931, 51939, 51533, 58249, 51274, 50843, 50802, 52402, 51486, 51615, 51486, 56363, 59689, 50873, 50425, 53042, 51124, 56040, 52918, 51469, 50843, 51736, 50861, 63191, 51364, 51533, 53690, 55185, 50873, 50437, 54650, 51110, 64574, 51189, 51533, 58249, 51077, 50843, 62148, 55872, 51191, 58365, 66799, 51798, 50906, 51048, 60047, 50995, 51727, 62909, 52017, 50843, 52931, 51001, 52098, 50302, 51101, 50843, 50795, 50460, 51838, 51486, 53602, 51191, 50461, 51615, 51894, 51863, 51486, 55881, 61686, 50846, 56125, 50870, 55931, 50835, 51533, 54749, 63185, 59413, 50899, 71029, 77117, 75210, 51364, 51026, 51486, 64069, 50867, 55931, 52528, 60047, 51939, 51137, 51016, 54569, 59312, 52483, 50861, 56946, 52208, 50843, 52309, 50902, 50889, 51137, 58732, 78570, 50893, 53602, 60831, 53602, 64859, 51081, 51141, 50843, 52313, 50906, 51060, 51727, 59569, 74256, 50893, 50449, 53602, 52848, 50902, 55143, 50914, 64069, 62877, 52208, 50843, 50923, 50455, 51181, 51173, 53602, 61327, 50951, 66867, 51177, 50843, 50879, 50461, 52340, 51486, 52795, 51100, 54955, 74220, 74944, 50818, 55931, 50908, 60047, 50825, 51137, 54749, 74256, 50802, 51711, 51486, 52255, 51486, 76301, 52014, 50324, 50983, 51176, 51894, 59642, 55490, 72240, 50835, 59327, 51592, 51602, 51290, 58097, 58376, 50893, 50425, 52795, 51124, 62144, 57439, 52379, 50843, 50849, 50431, 51602, 54154, 51001, 76916, 71941, 59689, 50873, 50437, 52494, 53470, 50965, 50873, 51602, 72706, 51103, 50843, 62148, 53042, 51191, 75795, 60775, 55125, 51001, 50805, 72240, 51253, 51533, 51290, 50816, 53601, 50843, 55345, 51147, 66782, 51177, 50843, 75166, 51838, 54153, 51743, 54153, 51863, 54153, 52494, 52149, 58526, 72854, 50818, 59642, 50982, 59327, 50837, 50702, 50336, 50835, 51602, 54749, 51790, 50843, 59413, 50871, 69687, 65757, 50983, 60047, 57232, 64069, 52140, 50702, 50338, 52222, 51526, 51016, 55961, 66696, 52688, 50906, 51626, 51527, 50843, 50873, 66928, 51103, 77431, 71446, 51336, 51146, 51336, 51526, 61826, 54233, 50906, 50849, 51181, 55509, 52313, 50931, 51121, 51181, 54187, 78570, 78876, 56176, 55441, 50871, 51458, 50333, 51110, 63597, 50995, 51132, 56956, 51551, 50843 ]

[ 0, 250, 182, 765, 37903, 9, 20425, 5175, 930, 11, 272, 538, 6, 4246, 10, 881, 272, 33215, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50861, 60253, 54433, 50861, 60253, 52030, 50861, 60253, 52313, 50876, 64244, 55680, 50876, 64244, 50802, 54594, 60253, 54433, 50861, 60253, 52030, 50861, 72559, 55276, 58161, 50951, 53609, 56245, 51062, 59116, 56245, 51062, 52116, 58161, 50951, 53532, 56245, 51062, 56575, 56245, 62721, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 13305, 2125, 14, 115, 1807, 25, 10, 19834, 6, 42, 3722, 15229, 16, 278, 11, 5, 762, 9, 12608, 538, 8, 11498, 10, 1769, 20889, 4, 590, 10, 16331, 13931, 9, 2060, 119, 1176, 406, 6, 272, 6, 8, 274, 40286, 6, 24, 7630, 6568, 10, 1472, 9, 15073, 150, 202, 1839, 3423, 9, 26545, 149, 63, 15352, 30054, 33083, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50419, 50871, 50818, 50965, 52432, 50906, 72969, 51492, 50965, 51492, 50876, 51492, 50796, 61627, 51040, 50918, 53975, 51036, 55435, 52045, 50965, 51492, 50876, 51492, 50796, 55203, 50918, 55435, 51036, 50965, 74183, 51036, 50796, 50799, 52357, 50967, 51040, 51492, 50965, 51492, 50876, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 50967, 51040, 50918, 50446, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 50900, 51036, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 50997, 52045, 50965, 52045, 50876, 52045, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 50967, 50799, 52357, 50967, 50997, 52045, 50965, 52045, 50876, 52045, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 50931, 51492, 51040, 51492, 50965, 51492, 50876, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 50931, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 50967, 51040, 50918, 50446, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 50900, 51036, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 50997, 52045, 50965, 52045, 50876, 52045, 50931, 52045, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 55435, 52045, 50965, 52045, 50876, 52045, 56807, 51036, 77431, 58624, 50931, 50807, 50799, 52357, 50967, 51360, 51492, 51040, 51492, 51040, 51492, 50876, 51492, 50965, 51492, 50965, 51492, 50876, 51492, 50876, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 51085, 51036, 50900, 51036, 50900, 51036, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 51234, 51492, 50997, 51492, 50997, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50796, 50799, 52357, 50967, 51360, 51492, 51040, 51492, 51040, 51492, 50965, 51492, 50965, 51492, 50876, 51492, 50876, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 50967, 51085, 70339, 70339, 50918, 50422, 52128, 50967, 50430, 51339, 60482, 50951, 50983, 51147, 50983, 50799, 52357, 50967, 51234, 51492, 50997, 51492, 50997, 51492, 50965, 51492, 50965, 51492, 50876, 51492, 50876, 51492, 50422, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 50454, 51339, 50967, 54852, 52910, 51028, 52424, 50900, 50807, 50799, 53919, 50918, 51360, 51492, 51360, 51492, 51040, 51492, 51040, 51492, 50965, 51492, 50965, 51492, 50876, 51492, 50876, 51492, 50438, 52956, 52728, 52052, 50807, 50799, 52128, 51036, 75464, 52910, 52128, 52424, 53919, 52728, 53684, 50807, 50799, 52357, 50918, 51085, 51036, 51085, 51036, 50900, 51036, 50900, 76175, 51487, 52728, 52128, 50807, 68818, 52045, 51234, 51492, 51234, 51492, 50997, 51492, 50997, 51492, 61627, 51487, 52728, 52128, 50807, 68818, 51036, 50796, 57497, 51036, 51040, 51036, 51040, 51036, 50965, 51036, 50965, 74183, 74183, 51036, 50796, 65851, 50807, 57497, 51036, 51040, 51036, 51040, 51036, 50965, 52045, 50965, 52045, 50876, 52045, 50876, 52045, 53645, 52728, 50871, 50807, 53997, 70339, 70339, 50918, 53645, 52424, 51378, 63792, 51378, 57225, 51378, 53484, 79620, 50799, 52357, 50967, 51234, 51492, 50997, 51492, 50997, 51492, 50965, 51492, 50965, 51492, 50876, 51492, 50876, 51492, 50422, 52128, 59204, 50906, 50807, 50430, 51339, 59067, 52357, 50967, 50906, 51161, 50446, 52128, 50967, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 59204, 50906, 50807, 50430, 51339, 59067, 52357, 69127, 52128, 58647, 50906, 50807, 50454, 51339, 50967, 50799, 52357, 71587, 52128, 50967, 53645, 50807, 50430, 51339, 59067, 52357, 69127, 52128, 50967, 56415, 50807, 50454, 51339, 50967, 50796, 50799, 53919, 50918, 51040, 51492, 50965, 51492, 50876, 51492, 50438, 52956, 52728, 52052, 50807, 50799, 52128, 51036, 75464, 52910, 52128, 52424, 53919, 52728, 53684, 50807, 50799, 52357, 70339, 76175, 51487, 52728, 52128, 50807, 68818, 52045, 50997, 51492, 61627, 51487, 52728, 52128, 50807, 68818, 51492, 50796, 57346, 51492, 50965, 51492, 50876, 51492, 50418, 53919, 50918, 50442, 52956, 50807, 50454, 52052, 50807, 52478, 52128, 51036, 52478, 51487, 50807, 50430, 52128, 50807, 50442, 53919, 50807, 50454, 53684, 50807, 56178, 51036, 50418, 52357, 50918, 50442, 51487, 50807, 50454, 52128, 50807, 55435, 51036, 50418, 51339, 52045, 58526, 51036, 50442, 51487, 50807, 50454, 52128, 50807, 54955, 51036, 50418, 51339, 52045, 55881, 51492, 50906, 51492, 51028, 51492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 4688, 20425, 3152, 2214, 19, 5175, 4785, 6, 4246, 10, 11739, 9, 30587, 6, 81, 9756, 6, 21979, 6, 8, 2382, 3459, 29589, 6, 23396, 30, 10, 1428, 12638, 1451, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 2351, 10, 3344, 9, 2933, 8, 15352, 30054, 6711, 29, 4, 20, 33215, 16739, 9, 83, 6, 163, 6, 230, 10431, 6, 83, 6, 8, 211, 3639, 7, 63, 13363, 28191, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 53488, 53488, 51200, 61355, 52862, 71510, 53488, 53488, 51200, 61355, 52862, 52201, 52483, 53488, 53488, 51200, 52918, 52918, 52918, 76374, 55502, 55502, 51969, 52201, 52446, 55502, 55502, 51969, 76464, 55502, 55502, 51969, 61355, 52862, 77504, 53573, 51409, 52918, 52918, 52918, 76375, 53573, 51409, 57314, 50799, 53573, 51409, 61355, 71510, 53573, 51409, 61355, 52201, 52483, 53573, 51409, 52918, 52918, 76374, 53573, 51409, 52201, 52446, 53573, 51409, 61355, 52862, 76464, 53573, 51409, 52918, 52918, 52918, 77504, 53573, 51409, 76375, 53488, 53488, 51200, 57314, 50799, 53488, 53488, 51200, 71510, 53488, 53488, 51200, 52201, 52483, 55502, 55502, 51969, 76374, 55502, 55502, 51969, 52201, 52446, 55502, 55502, 51969, 76464, 53573, 51409, 77504, 53573, 51409, 76375, 53573, 51409, 57314, 50799, 53573, 51409, 61355, 71510, 53573, 51409, 61355, 52201, 52483, 54633, 54633, 51580, 52918, 52918, 76374, 54633, 54633, 51580, 52201, 52446, 54633, 54633, 51580, 76464, 54633, 54633, 51580, 61355, 77504, 53488, 53488, 51200, 52918, 52918, 76375, 53488, 53488, 51200, 57314, 50799, 53488, 53488, 51200, 71510, 55502, 55502, 51969, 52201, 52483, 55502, 55502, 51969, 76374, 55502, 55502, 51969, 52201, 52446, 53573, 51409, 76464, 53573, 51409, 77504, 53573, 51409, 76375, 53573, 51409, 57314, 50799, 53573, 51409, 71510, 53573, 51409, 52201, 52483, 53573, 51409, 76374, 53573, 51409, 52201, 52446, 53573, 51409, 76464, 53488, 53488, 51200, 77504, 53488, 53488, 51200, 76375, 53488, 53488, 51200, 57314, 50799, 55502, 55502, 51969, 71510, 55502, 55502, 51969, 52201, 52483, 55502, 55502, 51969, 76374, 53573, 51409, 52201, 52446, 53573, 51409, 76464, 53573, 51409, 77504, 53573, 51409, 76375, 53573, 51409, 57314, 50799, 54633, 54633, 51580, 71510, 54633, 54633, 51580, 52201, 52483, 54633, 54633, 51580, 76374, 54633, 54633, 51580, 52201, 52446, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 76464, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 77504, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 76375, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 57314, 50799, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 71510, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 52201, 52483, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 76374, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52201, 52446, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 76464, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 77504, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 76375, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 57314, 68266, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 71510, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52201, 52483, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 76374, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52201, 52446, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 76464, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 77504, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 76375, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 57314, 50799, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 71510, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52201, 52483, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 76374, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52201, 52446, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 76464, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 77504, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 76375, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 57314, 50799, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 71510, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 52201, 52483, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 76374, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52201, 52446, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 76464, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 77504, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 76375, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 57314, 68266, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 71510, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52483, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52605, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52446, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52815, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 52596, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 52961, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 67669, 50799, 51815, 50805, 51595, 50805, 51574, 50805, 51311, 50805, 50998, 52864, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52483, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52605, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52446, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52815, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52596, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52961, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 50805, 50799, 54110, 50805, 51815, 50805, 51401, 50805, 53092, 50805, 51574, 50805, 51207, 52864, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52483, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52605, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52446, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52815, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52596, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52961, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 50805, 50799, 52047, 75236, 50805, 63029, 51725, 50805, 51504, 50805, 51131, 52864, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52483, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52605, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52446, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 52815, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 52596, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 52961, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 71821, 68266, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52864, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52483, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52605, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52446, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52815, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52596, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 50960, 52961, 51763, 50805, 63029, 51444, 50805, 51131, 50805, 71821, 50799, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52864, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52483, 63029, 51089, 50805, 51131, 50805, 67669, 50947, 52605, 52473, 50805, 51495, 50805, 52028, 50805, 74987, 51078, 52446, 52473, 50805, 51495 ]

[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 765, 2214, 11, 2060, 538, 7630, 6568, 10, 1472, 9, 26545, 8, 11926, 4, 20, 17035, 873, 2401, 6, 13305, 6, 8, 1515, 21305, 45552, 833, 7, 1045, 10, 8728, 8, 9066, 5466, 4, 8504, 11, 10, 155, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 10, 33215, 16739, 9, 230, 119, 406, 6, 274, 119, 6, 163, 428, 406, 73, 495, 6, 12608, 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 ]

[ 73566, 50438, 50632, 50956, 52916, 50965, 52916, 50876, 52916, 57980, 51576, 51034, 56815, 51576, 50426, 58240, 51576, 64574, 52048, 50965, 52048, 50876, 52048, 55840, 52140, 51034, 50906, 52048, 56040, 52048, 50965, 52048, 50876, 52048, 50438, 51040, 52916, 50871, 52916, 51028, 52916, 55478, 51576, 51034, 55791, 51576, 50426, 55840, 51576, 62335, 52916, 51040, 52916, 50861, 52916, 58240, 51576, 51034, 55527, 51576, 50426, 55478, 51576, 50438, 50633, 52541, 51677, 50900, 52916, 50956, 52916, 50965, 52916, 57980, 51576, 51034, 56815, 51576, 50426, 54713, 51576, 50438, 52541, 51411, 51040, 52916, 50965, 52048, 55478, 52140, 51034, 51946, 51411, 50861, 52048, 50426, 52541, 51411, 50965, 52048, 50438, 52541, 53082, 50900, 56004, 50956, 56004, 50965, 56004, 57980, 51576, 51034, 59191, 51576, 50426, 56815, 51576, 50438, 60188, 51576, 51034, 54713, 51576, 50426, 57980, 51576, 50438, 53343, 51677, 50861, 52916, 50906, 52916, 51001, 52916, 58240, 51576, 51034, 55478, 51576, 50426, 55527, 51576, 50438, 53343, 51411, 50956, 52916, 50877, 52916, 51001, 52048, 66168, 52140, 51034, 52601, 51411, 50902, 52048, 50426, 53343, 51411, 51001, 52048, 50438, 53343, 51233, 50956, 52482, 50965, 52482, 51001, 52482, 55840, 51878, 50446, 58302, 51233, 51147, 52482, 74246, 53916, 51293, 50871, 51922, 50965, 51922, 51028, 51922, 50426, 55791, 51576, 50438, 57921, 51576, 51034, 59813, 51576, 50426, 57921, 51576, 50438, 51836, 51677, 50956, 52916, 50965, 52916, 50876, 52916, 56815, 51576, 51034, 58240, 51576, 50426, 56815, 51576, 50438, 51836, 51411, 50871, 52407, 50965, 52407, 50876, 52048, 55120, 52140, 51034, 53339, 51411, 50973, 52048, 50426, 51836, 51411, 50876, 52048, 50438, 51836, 51233, 50900, 52482, 50871, 52482, 50876, 52482, 60188, 51878, 50446, 53151, 51233, 51028, 52482, 74246, 52032, 51293, 51040, 51922, 50871, 53201, 50906, 51922, 50426, 55791, 51576, 50438, 60188, 51576, 51034, 59813, 51576, 50426, 66168, 51576, 50438, 50632, 52541, 51486, 50900, 52140, 50956, 52140, 50965, 52140, 57980, 51162, 51034, 56815, 69706, 54713, 69205, 52541, 51162, 51040, 52140, 50965, 51576, 55478, 51486, 51034, 51946, 51162, 50861, 51576, 50426, 52541, 51162, 50965, 51576, 50438, 52541, 54484, 50900, 53849, 50956, 53849, 50965, 53849, 57980, 51227, 51034, 59191, 73714, 56815, 76713, 54713, 51227, 51034, 57980, 73714, 58240, 76713, 50633, 53916, 51227, 50871, 52204, 50965, 52140, 51028, 51576, 67312, 51941, 60188, 51941, 51034, 51836, 51227, 50876, 51576, 50426, 53916, 51227, 51028, 51576, 50438, 58302, 51661, 50876, 51878, 51147, 51878, 58240, 51227, 51034, 57839, 51661, 50426, 57570, 51227, 50965, 51576, 51001, 51576, 51114, 51576, 50438, 53151, 54484, 50965, 53849, 51028, 53849, 50931, 53849, 65754, 56209, 55791, 50893, 51034, 58988, 73714, 59191, 76713, 59191, 56209, 60188, 50893, 51034, 55791, 73714, 56815, 76713, 52541, 51227, 50900, 55776, 50956, 55776, 50965, 55197, 67312, 51941, 60188, 51941, 51034, 51946, 51227, 50861, 55197, 50426, 52541, 51227, 50965, 55197, 50438, 53343, 51661, 50861, 56563, 51001, 56563, 55478, 51227, 51034, 56199, 51661, 50426, 53916, 51227, 50956, 55197, 50906, 55197, 51028, 55197, 50438, 51836, 54484, 50956, 61489, 50965, 61489, 50876, 61489, 59191, 56209, 54713, 50893, 51034, 56815, 73714, 55791, 76713, 56815, 56209, 57980, 50893, 51034, 54713, 73714, 55478, 76713, 53916, 51227, 50871, 55856, 50965, 55776, 51028, 55197, 67312, 51941, 60188, 51941, 51034, 51836, 51227, 50876, 55197, 50426, 53916, 51227, 51028, 55197, 50438, 58302, 51661, 50876, 56563, 51147, 56563, 58240, 51227, 51034, 57839, 51661, 50426, 57570, 51227, 50965, 55197, 51001, 55197, 51114, 55197, 50438, 53151, 51941, 50965, 55776, 51028, 55776, 50931, 55776, 65754, 51227, 51034, 59191, 73714, 60188, 76713, 58047, 51661, 50906, 56563, 50931, 56563, 51081, 56563, 55120, 51227, 51034, 77346, 51661, 50426, 58047, 51227, 50906, 55197, 50931, 55197, 51081, 55197, 50438, 58047, 51941, 50906, 55776, 51001, 55776, 51081, 55776, 56815, 51175, 50446, 58988, 51175, 74246, 65883, 72598, 58988, 76713, 53343, 53073, 50861, 55776, 50906, 55776, 51001, 55856, 58988, 51661, 72262, 56815, 51227, 57019, 55856, 50965, 55776, 55478, 51227, 51034, 55791, 73714, 58988, 51227, 57267, 55776, 50906, 55776, 56815, 51227, 51034, 60188, 73714, 55527, 76713, 52541, 51677, 50900, 52140, 50956, 52140, 50965, 52140, 57980, 51411, 51034, 56815, 74989, 54713, 72652, 52541, 51411, 51040, 52140, 50965, 51576, 55478, 51677, 51034, 51946, 51411, 50861, 51576, 50426, 52541, 51411, 50965, 51576, 50438, 52541, 53082, 50900, 53849, 50956, 53849, 50965, 53849, 57980, 51411, 51034, 59191, 74989, 56815, 72652, 60188, 51411, 51034, 54713, 74989, 57980, 72652, 53343, 52140, 50861, 52916, 50906, 52916, 51001, 52916, 55527, 51576, 51034, 55478, 51576, 50426, 55527, 51576, 50438, 53343, 51576, 50956, 52916, 50877, 52916, 51001, 52048, 66168, 52140, 51034, 52601, 51576, 50902, 52048, 50426, 53343, 51576, 51001, 52048, 50438, 53343, 51642, 50956, 52482, 50965, 52482, 51001, 52482, 55840, 51878, 50446, 58302, 51642, 51147, 52482, 74246, 53916, 51449, 50871, 53201, 50965, 51922, 51028, 51922, 50426, 55791, 51576, 50438, 51040, 52916, 57921, 51576, 51034, 59813, 51576, 50426, 57921, 51576, 50438, 51836, 51677, 50956, 52140, 50965, 52140, 50876, 52140, 56815, 51411, 51034, 58240, 74989, 56815, 72652, 51836, 51162, 50871, 52071, 50965, 51677, 50876, 51411, 55120, 51486, 51034, 53339, 51162, 50973, 74989, 51836, 51162, 50876, 72652, 51836, 51175, 50900, 51233, 50871, 52121, 50876, 51233, 60188, 51661, 50446, 53151, 51175, 50931, 51233, 74246, 58302, 51696, 50965, 51293, 51028, 51310, 50931, 51293, 51147, 51293, 50426, 55791, 51227, 62204, 51677, 55120, 51227, 51034, 55840, 73714, 58240, 76713, 50632, 58302, 51352, 50965, 51677, 50876, 51677, 51001, 51677, 51147, 51677, 57980, 51066, 51034, 56815, 62819, 54713, 64631, 58302, 51066, 50965, 51677, 51028, 51677, 51147, 51411, 55478, 51352, 51034, 53883, 51066, 50951, 74989, 58302, 51066, 51147, 72652, 58302, 52442, 50965, 55197, 50876, 55197, 51001, 55197, 51147, 55197, 57980, 55197, 51034, 51001, 55197, 51147, 55197, 51062, 55197, 59191, 55197, 50426, 51147, 53126, 50328, 53126, 50331, 52011, 56815, 55197, 50438, 51062, 55197, 57980, 55197, 51034, 51405, 55197, 56815, 55197, 50426, 51487, 55197, 57839, 55197, 50438, 77347, 51576, 50871, 53201, 50965, 52916, 51028, 52048, 60188, 52916, 65754, 52916, 51034, 57849, 51576, 50876, 52048, 50426, 77347, 51576, 51028, 52048, 50438, 50711, 50336, 51878, 50876, 52407, 51147, 52407, 56815, 52048, 51034, 70523, 52407, 50426, 50711, 50334, 51576, 50965, 52048, 51001, 52048, 51114, 52048, 50438, 73161, 53849, 50965, 56004, 51028, 56004, 50931, 56004, 72131, 62523, 63547, 51166, 51034, 50694, 50314, 52048, 50426, 77346, 52048, 50438, 77346, 62523, 65754, 51166, 51034, 63547, 52048, 50426, 65777, 52048, 50438, 58302, 51576, 50900, 55776, 50956, 55776, 50965, 55197, 60188, 52916, 65754, 52916, 51034, 53883, 51576, 50861, 55197, 50426, 58302, 51576, 50965, 55197, 50438, 80125, 51878, 50861, 56563, 51001, 56563, 58988, 52048, 51034, 65883, 52407, 50426, 77347, 51576, 50956, 55197, 50906, 55197, 51028, 55197, 50438, 57849, 53849, 50956, 61489, 50965 ]

[ 0, 713, 8787, 5175, 8, 3495, 15229, 22750, 1626, 11098, 8, 10563, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 50, 5, 12298, 1619, 191, 4, 20, 6755, 12547, 8, 24896, 185, 5, 483, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 6, 5, 31910, 154, 23225, 9, 5, 23338, 33518, 1264, 6, 8, 5, 3459, 8669, 18, 25402, 7031, 8014, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 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 ]

[ 54458, 55746, 51565, 51242, 50433, 51686, 51242, 50440, 51137, 51637, 51886, 51115, 52123, 52204, 51555, 52204, 51902, 52204, 50798, 51101, 53779, 66092, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 58248, 53191, 71820, 53302, 51242, 50832, 50878, 53231, 74651, 51137, 51051, 51886, 51101, 51322, 51481, 51209, 51481, 51590, 51481, 53191, 51242, 50798, 51101, 51383, 76856, 50878, 52591, 51137, 51576, 52433, 51101, 52631, 51242, 50798, 51101, 51236, 51101, 53779, 55440, 51886, 51101, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 51242, 50434, 51181, 51576, 52433, 51101, 53191, 51242, 50832, 74030, 51101, 53231, 50878, 50440, 52367, 51101, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 50959, 51240, 51101, 53231, 66092, 51137, 51637, 51886, 71382, 51101, 53779, 65002, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 63321, 53191, 79076, 54307, 51134, 51951, 51679, 53302, 51242, 50832, 50878, 53231, 50878, 52591, 51137, 51051, 51322, 51481, 51209, 51481, 51590, 51481, 53191, 51242, 50798, 51101, 51383, 76856, 50878, 50427, 51137, 51576, 52886, 51452, 51967, 52168, 52631, 61174, 51101, 51236, 51101, 53779, 61172, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 51242, 50441, 51857, 51576, 51565, 51101, 53191, 51242, 50832, 74030, 51101, 53231, 50878, 50448, 51686, 51101, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 50959, 51240, 51101, 53231, 50878, 50455, 51374, 51637, 52156, 51115, 52041, 54249, 53499, 52644, 53122, 53849, 50798, 51101, 53779, 50878, 50799, 51366, 51481, 51209, 51481, 51590, 51481, 55678, 50959, 50417, 53191, 68582, 53302, 51242, 50832, 50878, 53231, 50878, 50428, 51374, 51051, 51686, 51101, 51366, 51481, 51209, 51481, 51590, 51481, 53191, 51242, 50798, 51101, 51383, 76856, 61172, 51374, 51576, 52156, 51101, 53059, 51242, 50798, 51101, 51236, 51101, 53779, 78873, 51686, 51101, 51366, 51481, 51209, 51481, 51590, 51481, 53302, 51242, 50448, 51374, 51576, 51565, 51101, 53191, 51242, 50832, 74030, 51101, 53231, 50878, 50455, 51686, 51101, 51366, 51481, 51209, 51481, 51590, 51481, 53302, 50959, 51240, 51101, 53231, 50878, 53447, 51637, 51596, 51714, 52123, 54249, 52089, 54249, 51584, 52204, 50798, 51101, 53779, 50878, 50421, 51322, 51481, 51547, 51481, 51229, 51481, 56357, 50959, 50424, 56433, 50959, 50428, 52137, 51134, 52682, 51679, 52564, 51242, 50832, 50878, 53231, 60157, 51181, 51051, 51322, 51481, 51547, 51481, 51229, 51481, 56433, 51242, 50798, 51101, 51383, 76856, 66479, 51181, 51576, 51838, 51803, 55289, 52980, 52631, 51242, 50798, 51101, 51236, 51101, 53779, 50878, 50448, 58448, 62135, 51322, 51481, 51547, 51481, 51229, 51481, 62855, 50878, 52564, 51242, 50452, 62672, 58261, 59570, 69960, 51181, 51576, 56433, 51242, 50832, 74030, 51101, 53231, 50878, 50799, 51322, 51481, 51547, 51481, 51229, 51481, 62672, 50810, 52564, 50959, 51240, 51101, 53231, 64625, 62855, 50878, 50421, 62672, 56818, 51349, 51637, 52041, 54249, 51567, 54249, 50798, 51101, 53779, 50878, 50428, 51366, 51481, 51229, 51481, 51334, 51481, 55678, 60675, 52564, 66804, 52588, 51242, 50832, 50878, 53231, 66479, 51349, 51051, 51366, 51481, 51229, 51481, 51334, 51481, 62672, 50878, 52564, 51242, 50798, 51101, 51383, 76856, 50878, 50449, 51349, 51576, 57205, 51101, 53059, 51242, 50798, 51101, 51236, 51101, 53779, 58325, 51366, 51481, 51229, 51481, 51334, 51481, 62672, 50878, 52588, 51242, 51601, 51349, 51576, 57205, 51101, 52564, 51242, 50832, 74030, 51101, 53231, 63980, 51366, 51481, 51229, 51481, 51334, 51481, 58448, 50878, 52588, 50959, 51240, 51101, 53231, 55440, 60189, 66942, 51181, 51637, 58448, 51025, 52123, 52204, 52089, 54249, 50798, 51101, 53779, 50878, 50436, 51322, 51481, 51547, 51481, 51229, 51481, 56357, 50959, 50439, 56433, 50959, 50443, 52564, 51242, 50832, 50878, 53231, 56060, 51181, 51051, 51322, 51481, 51547, 51481, 51229, 51481, 58448, 50878, 56433, 51242, 50798, 51101, 51383, 76856, 58325, 51181, 51576, 60189, 51101, 52631, 61174, 51101, 51236, 51101, 53779, 50878, 51809, 51322, 51481, 51547, 51481, 51229, 51481, 58448, 50878, 52564, 51242, 50422, 51181, 51576, 60189, 50878, 56433, 51242, 50832, 74030, 51101, 53231, 66942, 51322, 51481, 51547, 51481, 51229, 51481, 56601, 50878, 52564, 50959, 51240, 51101, 53231, 50878, 50433, 59456, 50878, 50436, 51137, 51637, 56601, 51151, 51555, 54249, 51902, 54249, 50798, 51101, 53779, 50878, 50443, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 76791, 53191, 58248, 53302, 51242, 50832, 50878, 53231, 50878, 50457, 51137, 51051, 53297, 50845, 51322, 51481, 51209, 51481, 51590, 51481, 53191, 51242, 50798, 51101, 51383, 76856, 50878, 51809, 51137, 51576, 52367, 50845, 52886, 51134, 51967, 51679, 52631, 51242, 50798, 51101, 51236, 51101, 53779, 60988, 52367, 50845, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 51242, 50430, 51181, 51576, 52433, 50845, 53828, 51134, 52130, 51679, 53191, 51242, 50832, 74030, 51101, 53231, 74029, 51886, 50845, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 50959, 51240, 51101, 53231, 58991, 51137, 51481, 52367, 51134, 51322, 51481, 51209, 51481, 51590, 51481, 54307, 50915, 51951, 51108, 53191, 61174, 51101, 51335, 51481, 50458, 51760, 51025, 57731, 52721, 51101, 50430, 52213, 51101, 50437, 51760, 51134, 51456, 72438, 51224, 51242, 50451, 52387, 51115, 51137, 51637, 52123, 52204, 51555, 52204, 51902, 52204, 50798, 51101, 53779, 61997, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 50959, 50799, 53191, 50959, 50417, 53302, 51242, 50832, 50878, 53231, 50878, 50424, 52387, 51101, 51137, 51051, 51322, 51481, 51209, 51481, 51590, 51481, 53191, 51242, 50798, 51101, 51383, 76856, 75024, 54227, 51134, 51137, 51576, 52631, 51242, 50798, 51101, 51236, 51101, 53779, 55467, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 74458, 54091, 51134, 51181, 51576, 53191, 51242, 50832, 74030, 51101, 53231, 50878, 50452, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 51242, 51240, 51101, 53231, 61997, 52387, 51025, 51137, 51637, 50798, 51101, 53779, 50878, 52177, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 50959, 50421, 53191, 50959, 50424, 52387, 51101, 53302, 51242, 50832, 50878, 53231, 75024, 52213, 51101, 51137, 51051, 51322, 51481, 51209, 51481, 51590, 51481, 53191, 51242, 50798, 51101, 51383, 76856, 55467, 52721, 51101, 51137, 51576, 52631, 51242, 50798, 51101, 51236, 51101, 53779, 50878, 50445, 52213, 51101, 51322, 51481, 51209, 51481, 51590, 51481, 53302, 51242, 50452, 51760, 51025, 51181, 51576, 53191, 51242, 50832, 74030, 51101, 53231, 65264, 51322, 51481, 51209, 51481, 51590, 51481, 56357, 50959, 51240, 51101, 53231, 50878, 52478, 51760, 51422, 51857, 51637, 52089, 52204, 50798, 51101, 53779, 50878, 50425, 51322, 51481, 51547, 51481, 51590, 51481, 56357, 50959, 50428, 56433, 60675, 53302, 51242, 50832, 50878, 53231, 74029, 63912, 50813, 57144, 51051, 51322, 51481, 51547, 51481, 51590, 51481, 56433, 51242, 50798, 51101, 51383, 76856, 50878, 50439, 67261, 73686, 63912, 60672, 65256, 53103, 59456, 79295, 51857, 51576, 52631, 51242, 50798, 51101, 51236, 51101, 53779, 50878, 50452, 51322, 51481, 51547, 51481, 51590, 51481, 65256, 50866, 53302, 51242, 50459, 51640, 51576, 63912, 50878, 56433, 51242, 50832, 74030, 51101, 53231, 50878, 52478, 51322, 51481, 51547 ]

[ 0, 250, 765, 15855, 2125, 19, 10, 25306, 619, 6, 4246, 10, 6755, 12547, 6, 17465, 8244, 22778, 6, 38668, 11212, 6, 1515, 21305, 6, 8, 13305, 6, 70, 8216, 7, 10, 15352, 30054, 8, 19448, 5466, 326, 25963, 19, 10, 11602, 9, 15073, 6, 2905, 10686, 13, 10, 1619, 12, 14694, 822, 19834, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 5, 15229, 16, 17407, 30, 10, 33215, 13931, 9, 163, 43531, 1176, 406, 6, 163, 43531, 6, 230, 119, 406, 428, 245, 73, 387, 428, 6, 163, 43531, 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 ]

[ 54458, 50801, 50949, 56686, 52208, 59015, 50949, 51755, 50949, 56686, 51552, 53782, 50949, 56686, 53501, 59015, 50949, 51755, 55229, 50801, 54968, 50903, 50949, 51755, 50949, 53782, 54968, 50903, 50949, 51755, 50949, 56686, 52208, 59015, 50949, 51755, 50949, 56686, 51552, 53782, 50949, 56686, 53501, 59015, 50949, 51755, 55229, 50801, 54968, 50903, 50949, 51755, 50949, 53782, 54968, 50903, 50949, 50799, 54461, 50995, 56916, 58307, 54565, 50807, 57279, 50807, 51930, 51054, 56348, 50918, 51426, 50918, 51395, 55834, 54461, 51662, 56916, 51486, 50816, 53305, 51352, 57279, 51161, 51930, 52369, 59015, 51009, 55443, 50918, 51154, 50918, 51201, 50918, 50799, 54461, 51318, 56916, 51189, 50816, 58059, 51029, 57279, 50983, 51930, 51552, 58328, 50807, 77315, 51600, 70374, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 50886, 59917, 50807, 66316, 51629, 50807, 63261, 57860, 50816, 62627, 50816, 53860, 54461, 52096, 56916, 52149, 50816, 54355, 51407, 57279, 51492, 51930, 53501, 57671, 56579, 50816, 58572, 50816, 52781, 50816, 58785, 51009, 59523, 50807, 70809, 51394, 52728, 59635, 50807, 67914, 51304, 50807, 50799, 54277, 51307, 52695, 75582, 50824, 61609, 51492, 51107, 51492, 51384, 51492, 62578, 51352, 59015, 51009, 50799, 54277, 51307, 51996, 75582, 51029, 53782, 51407, 59015, 51009, 50799, 54277, 51307, 53780, 51307, 50816, 58059, 50824, 52623, 51036, 52089, 51036, 51722, 51036, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 55503, 51352, 63261, 57860, 50816, 62627, 50816, 53860, 50816, 50857, 57671, 56579, 50816, 58572, 50816, 52781, 54461, 53413, 56916, 52903, 50816, 58785, 51009, 57279, 52045, 51930, 55198, 50799, 56117, 51307, 51996, 51307, 50816, 53305, 51029, 52123, 51036, 51783, 51036, 51902, 51036, 51694, 53182, 50801, 51407, 59015, 51009, 50799, 54277, 52149, 53780, 52149, 50816, 58059, 50824, 52623, 51492, 52089, 51492, 51722, 51492, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 55503, 51352, 63261, 57860, 50816, 62627, 50816, 53860, 50816, 50857, 57671, 56579, 50816, 58572, 50816, 52781, 54461, 53413, 56916, 52903, 50816, 58785, 51009, 57279, 52045, 51930, 55198, 56703, 53305, 51029, 51694, 53182, 50801, 51407, 59015, 51009, 50799, 54864, 50995, 60458, 58307, 54565, 50807, 55760, 50807, 51150, 51054, 56348, 50918, 51426, 50918, 51395, 55834, 54864, 51662, 60458, 51486, 50816, 53305, 51352, 55760, 51161, 51150, 52369, 59015, 51009, 55443, 50918, 51154, 50918, 51201, 50918, 50799, 54864, 51318, 60458, 51189, 50816, 58059, 51029, 55760, 50983, 51150, 51552, 56154, 50807, 75840, 67837, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 50886, 58551, 50807, 67769, 68873, 63261, 57860, 50816, 62627, 50816, 53860, 54864, 52096, 60458, 52149, 50816, 54355, 51407, 55760, 51492, 51150, 53501, 57671, 56579, 50816, 58572, 50816, 52781, 50816, 58785, 51009, 65701, 50807, 74681, 51558, 52728, 59635, 50807, 67914, 51304, 50807, 50799, 52338, 51307, 52695, 75582, 50824, 61609, 51492, 51107, 51492, 51384, 51492, 62578, 51352, 59015, 51009, 50799, 52338, 51307, 51996, 75582, 51029, 53782, 51407, 59015, 51009, 50799, 52338, 51307, 51946, 51307, 50816, 58059, 50824, 52623, 51036, 51555, 51036, 51567, 51036, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 55503, 51352, 63261, 57860, 50816, 62627, 50816, 53860, 50816, 50857, 57671, 56579, 50816, 58572, 50816, 52781, 54864, 53413, 60458, 52903, 50816, 58785, 51009, 55760, 52045, 51150, 55198, 50799, 52665, 51307, 51996, 51307, 50816, 53305, 51029, 52123, 51036, 51986, 51036, 51902, 51036, 51694, 53182, 50801, 51407, 59015, 51009, 50799, 52338, 52149, 51946, 52149, 50816, 58059, 50824, 52623, 51492, 51555, 51492, 51567, 51492, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 55503, 51352, 63261, 57860, 50816, 62627, 50816, 53860, 50816, 50857, 57671, 56579, 50816, 58572, 50816, 52781, 54864, 53413, 60458, 52903, 50816, 58785, 51009, 55760, 52045, 51150, 55198, 56703, 53305, 51029, 51694, 53182, 50801, 51407, 59015, 51009, 50799, 54461, 50995, 56916, 58307, 54565, 50807, 57279, 50807, 51930, 51054, 56348, 50918, 51426, 50918, 51395, 55834, 54461, 51662, 56916, 51486, 50816, 53305, 51352, 57279, 51161, 51930, 52369, 59015, 51009, 55443, 50918, 51154, 50918, 51201, 50918, 50799, 54461, 51318, 56916, 51189, 50816, 58059, 51029, 57279, 50983, 51930, 51552, 58328, 50807, 77315, 51600, 70374, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 50886, 59917, 50807, 66316, 51629, 50807, 63261, 57860, 50816, 62627, 50816, 53860, 54461, 52096, 56916, 52149, 50816, 54355, 51407, 57279, 51492, 51930, 53501, 57671, 56579, 50816, 58572, 50816, 52781, 50816, 58785, 51009, 59523, 50807, 70809, 51394, 52728, 59635, 50807, 67914, 51304, 50807, 50799, 54277, 51307, 52695, 75582, 50824, 61609, 51492, 51107, 51492, 51384, 51492, 62578, 51352, 59015, 51009, 50799, 54277, 51307, 51996, 75582, 51029, 53782, 51407, 59015, 51009, 50799, 54277, 51307, 53780, 51307, 50816, 58059, 50824, 52623, 51036, 52089, 51036, 51722, 51036, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 55503, 51352, 63261, 57860, 50816, 62627, 50816, 53860, 50816, 50857, 57671, 56579, 50816, 58572, 50816, 52781, 54461, 53413, 56916, 52903, 50816, 58785, 51009, 57279, 52045, 51930, 55198, 50799, 56117, 51307, 51996, 51307, 50816, 53305, 51029, 52123, 51036, 51783, 51036, 51902, 51036, 51694, 53182, 50801, 51407, 59015, 51009, 50799, 54277, 52149, 53780, 52149, 50816, 58059, 50824, 52623, 51492, 52089, 51492, 51722, 51492, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 55503, 51352, 63261, 57860, 50816, 62627, 50816, 53860, 50816, 50857, 57671, 56579, 50816, 58572, 50816, 52781, 54461, 53413, 56916, 52903, 50816, 58785, 51009, 57279, 52045, 51930, 55198, 56703, 53305, 51029, 51694, 53182, 50801, 51407, 59015, 51009, 50799, 54864, 50995, 60458, 58307, 54565, 50807, 55760, 50807, 51150, 51054, 56348, 50918, 51426, 50918, 51395, 55834, 54864, 51662, 60458, 51486, 50816, 53305, 51352, 55760, 51161, 51150, 52369, 59015, 51009, 55443, 50918, 51154, 50918, 51201, 50918, 50799, 54864, 51318, 60458, 51189, 50816, 58059, 51029, 55760, 50983, 51150, 51552, 56154, 50807, 75840, 67837, 50416, 50816, 50971, 62999, 68353, 50816, 54819, 50816, 62488, 50816, 57559, 50816, 60417, 66304, 51694, 50886, 58551, 50807, 67769, 68873, 63261, 57860, 50816, 62627, 50816, 53860, 54864, 52096, 60458, 52149, 50816, 54355, 51407, 55760, 51492, 51150, 53501, 57671, 56579, 50816, 58572, 50816, 52781, 50816, 58785, 51009, 65701, 50807, 74681, 51558, 52728, 59635, 50807, 67914, 51304, 50807, 50799, 52338, 51307, 52695, 75582, 50824, 61609, 51492, 51107, 51492, 51384, 51492, 62578, 51352, 59015, 51009, 50799, 52338, 51307, 51996, 75582, 51029, 53782, 51407, 59015, 51009, 50799, 52338, 51307, 51946, 51307, 50816 ]

[ 0, 250, 32076, 8, 19448, 15855, 2125, 702, 15, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 211, 538, 19, 10, 2635, 226, 22740, 20889, 8, 10, 132, 73, 306, 86, 6543, 4, 20, 33301, 7630, 6568, 6453, 9, 657, 8, 7125, 6, 19, 5, 40286, 211, 6, 272, 6, 211, 6, 8, 83, 16331, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51057, 50621, 60183, 51067, 52774, 60183, 51067, 52247, 51076, 51160, 51067, 71832, 60405, 64687, 51057, 55046, 51076, 52774, 54765, 75563, 51311, 50980, 50929, 50980, 51057, 56406, 55046, 51032, 52774, 56488, 55046, 51292, 52247, 62979, 55046, 51067, 52309, 51563, 65109, 51786, 59382, 51292, 55135, 51067, 65925, 51032, 60281, 51076, 50883, 51057, 50947, 50921, 51032, 50921, 50419, 50960, 50883, 51067, 53336, 50929, 50921, 51076, 50921, 50425, 50960, 50883, 51067, 53087, 57504, 55784, 51057, 51076, 51160, 51067, 69321, 60405, 51032, 52422, 55046, 60183, 51207, 56925, 55046, 60183, 51057, 50947, 50921, 52562, 50980, 50986, 50980, 51078, 50980, 50419, 51169, 53336, 50947, 54007, 51032, 62518, 51076, 53087, 51574, 50806, 62979, 56406, 55046, 51057, 51563, 52774, 64252, 58870, 51563, 52247, 60266, 75193, 51563, 52309, 54765, 55784, 51786, 50806, 51057, 59077, 55046, 60183, 51292, 52774, 51067, 50880, 60266, 56406, 55046, 50422, 51316, 56299, 51076, 62588, 51316, 53087, 62318, 72119, 58870, 51057, 50621, 60183, 51067, 52774, 60183, 51067, 52247, 51076, 51160, 51067, 71832, 60405, 64687, 51057, 55046, 51076, 52774, 54765, 75563, 51311, 50980, 50929, 50980, 51057, 56406, 55046, 51032, 52774, 56488, 55046, 51292, 52247, 62979, 55046, 51067, 52309, 51563, 65109, 51786, 59382, 51292, 55135, 51067, 65925, 51032, 60281, 51076, 50883, 51057, 50947, 50921, 51032, 50921, 50419, 50960, 50883, 51067, 53336, 50929, 50921, 51076, 50921, 50425, 50960, 50883, 51067, 53087, 57504, 55784, 51057, 51076, 51160, 51067, 69321, 60405, 51032, 52422, 55046, 60183, 51207, 56925, 55046, 60183, 51057, 50947, 50921, 52562, 50980, 50986, 50980, 51078, 50980, 50419, 51169, 53336, 50947, 54007, 51032, 62518, 51076, 53087, 51574, 50806, 62979, 56406, 55046, 51057, 51563, 52774, 64252, 58870, 51563, 52247, 60266, 75193, 51563, 52309, 54765, 55784, 51786, 50806, 51057, 59077, 55046, 60183, 51292, 52774, 51067, 50880, 60266, 56406, 55046, 50422, 51316, 56299, 51076, 62588, 51316, 53087, 51444, 50821, 60217, 65222, 51067, 55104, 50960, 52686, 50960, 53660, 60217, 51057, 59400, 70442, 51067, 50980, 50417, 50960, 53113, 59400, 51076, 54007, 60217, 50425, 51563, 53087, 60405, 64687, 51563, 75101, 60217, 50431, 51786, 52975, 51786, 50880, 60405, 51032, 62500, 51292, 53660, 60217, 50437, 51067, 50883, 51057, 65222, 60405, 51067, 58718, 50960, 53113, 65222, 60405, 51067, 54901, 50960, 52422, 59400, 70442, 51292, 57200, 50960, 52686, 59400, 70442, 51067, 55246, 60217, 51057, 59400, 70442, 51067, 50980, 50417, 50960, 53113, 51169, 50821, 51076, 54007, 60217, 50425, 51563, 53087, 60405, 64687, 51563, 75101, 60217, 50431, 51786, 52975, 51786, 50883, 60405, 51032, 62500, 51292, 53660, 60217, 50437, 51067, 50883, 51057, 65222, 60405, 51067, 58718, 50960, 53113, 65222, 64687, 51067, 54901, 50960, 52422, 59400, 70442, 51292, 57200, 50960, 52686, 59400, 70442, 51067, 55246, 60217, 51057, 50929, 50812, 78578, 51067, 58718, 50929, 50812, 51076, 52871, 51078, 50812, 76522, 51067, 54901, 51078, 50812, 50947, 52710, 63126, 50812, 51067, 58814, 63126, 64123, 51316, 52265, 63126, 61482, 54241, 63126, 50812, 51057, 66483, 51078, 50812, 51076, 61410, 66483, 51078, 72294, 74182, 51067, 52302, 66483, 57103, 51032, 60134, 66483, 57103, 50425, 51076, 52630, 77135, 50986, 51124, 50998, 65903, 50947, 50803, 51057, 51076, 50883, 78972, 79391, 50416, 50947, 59630, 51169, 63267, 50947, 54658, 51032, 61135, 51076, 56299, 51067, 62588, 51032, 53087, 75426, 78972, 79391, 50428, 50947, 57850, 51169, 60759, 50947, 52726, 51076, 62268, 51032, 56486, 51316, 62256, 51067, 50880, 51057, 51549, 64664, 51292, 55804, 51076, 64941, 51067, 54658, 51316, 59013, 50998, 54381, 51076, 62588, 50947, 53087, 62979, 55046, 51444, 77684, 60266, 57504, 51057, 60183, 51067, 52774, 60183, 51067, 52247, 51076, 50980, 51067, 74177, 54432, 52119, 53092, 52674, 51444, 57880, 50947, 50883, 51032, 50883, 51057, 51207, 50858, 55046, 51076, 58718, 51311, 54718, 74582, 57504, 50947, 54901, 51444, 51973, 51207, 50893, 51311, 50893, 50929, 52309, 54432, 50802, 51057, 79391, 50929, 50893, 51032, 52774, 78972, 50929, 50893, 51292, 52247, 51311, 50893, 50929, 50893, 51067, 52309, 51563, 65109, 51786, 59382, 51292, 55135, 51067, 65925, 51032, 60281, 51076, 50883, 51057, 60405, 64687, 50419, 50960, 50883, 51067, 53336, 59400, 51076, 68057, 50960, 50883, 51067, 53087, 57504, 55784, 51057, 54765, 60183, 51067, 52774, 54765, 60183, 51067, 52247, 50960, 50980, 51076, 50980, 51067, 74177, 54432, 54154, 53092, 55632, 51444, 64141, 50986, 50883, 50947, 50883, 51032, 50883, 51057, 51311, 50821, 51207, 50893, 55046, 51076, 58718, 50960, 53113, 52562, 50893, 57504, 50947, 54901, 50986, 52422, 51574, 50806, 62979, 56406, 50929, 52309, 51563, 50980, 51057, 51317, 50980, 50929, 50980, 51064, 59217, 51786, 54007, 51292, 52422, 67961, 60183, 51067, 55246, 70442, 51057, 75426, 51444, 50980, 50986, 50980, 50416, 50947, 56092, 51032, 60861, 51076, 53336, 51067, 57646, 51032, 55133, 50947, 62518, 51078, 53087, 50986, 51160, 50947, 51160, 54432, 51362, 54432, 51059, 50435, 62979, 55046, 51038, 50423, 54765, 50429, 55046, 50435, 54432, 50803, 51064, 51160, 51057, 51246, 50821, 50960, 56191, 51246, 50821, 50960, 53113, 50947, 50883, 51246, 50821, 60217, 50422, 50929, 55133, 54432, 50821, 51078, 55889, 67911, 73711, 50428, 50929, 55212, 54432, 50821, 50947, 57359, 67911, 51136, 62500, 51078, 55135, 54432, 50821, 55046, 51057, 51246, 50821, 50960, 56191, 51246, 50821, 51317, 53113, 51246, 50821, 50960, 54007, 54432, 50806, 55046, 50429, 51064, 55246, 54432, 51066, 51067, 50980, 51057, 51246, 50821, 50960, 56191, 50929, 53113, 51246, 50821, 60217, 50422, 51067, 55133, 51549, 50806, 54432, 62819, 67911, 51136, 55104, 51563, 52309, 67911, 51136, 53660, 51246, 50980, 50960, 50980, 51067, 50980, 51057, 54432, 54024, 53271, 52244, 51444, 52801, 59077, 54765, 50429, 55046, 50435, 51064, 51160, 54432, 51066, 51057, 50960, 56191, 51136, 52774, 50947, 59013, 50929, 55133, 73513, 50970, 52247, 51311, 55104, 56488, 60494, 50970, 55246, 60888, 53271, 50802, 54765, 51057, 50970, 56191, 50929, 53113, 50947, 54007, 60848, 51444, 62819, 60217, 50970, 55104, 57566, 51169, 52309, 51076, 53660, 52562, 50893, 60106, 51057, 73711, 50929, 56191, 51574, 50893, 51064, 52774, 51317, 50821, 50929, 54007, 51504, 50893, 51064, 52247, 60217, 50970, 55104, 60405, 51504, 50893, 56488, 51136, 52309, 50929, 59382, 50947, 55135, 51246, 50893, 50960, 50893, 60848, 61245, 53271, 54433, 51246, 50821, 60848, 51067, 52247, 50986, 55104, 60217, 60848, 51067, 52309, 51136, 53660, 60888, 60848, 60106, 51057, 51504, 56191, 55784, 51032, 52774, 52028, 54007, 73837, 55784, 51064, 52247, 51131, 55104, 51246, 50821, 55046, 51064, 52309, 50986, 53660, 60217, 55046, 55784, 51057, 51444, 56191, 57504, 51067, 52774, 50960, 54007, 51067, 52247, 73711, 50929, 55104, 60405, 51032, 52309, 50929, 53660, 57504, 60106, 51057, 50960, 56191, 73711, 55046, 51064, 52774, 50960, 54007, 56488, 55046, 55784, 50429, 68433, 55046, 50947, 55246, 54765, 55784, 61245, 51444, 54433, 54765, 50429, 55046, 50435, 54432, 50803, 51064, 51160, 51057, 51246, 50821, 50960, 56191, 51246, 50821, 50960, 53113, 50947, 50883, 51246, 50821, 60217, 50422 ]

[ 0, 713, 15352, 30054, 5175, 2214, 11, 274, 538, 1575, 10, 11739, 9, 21072, 6, 7304, 4627, 6, 21979, 8669, 6, 38668, 3038, 6, 8, 38668, 22052, 4, 590, 10, 20889, 9, 22619, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 6670, 10, 19448, 8, 1372, 5466, 4, 20, 33215, 16739, 9, 230, 6, 163, 428, 6, 8, 274, 35315, 5705, 1328, 5, 2125, 6, 1271, 7, 63, 33033, 3184, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 62147, 59771, 51874, 57817, 51874, 57356, 51874, 58020, 51874, 59352, 51874, 57824, 51874, 56974, 51874, 50937, 68615, 59771, 52490, 57817, 52490, 57356, 52999, 58020, 52999, 59352, 52999, 57824, 52999, 56974, 52999, 50937, 62147, 59771, 51874, 57817, 51874, 57356, 51874, 58020, 51874, 59352, 51874, 57824, 51874, 56974, 51874, 50937, 68615, 59771, 52490, 57817, 52490, 57356, 52999, 58020, 52999, 59352, 52999, 57824, 52999, 56974, 52999, 50937, 62147, 59771, 51874, 57817, 51874, 57356, 51874, 58020, 51874, 59352, 51874, 57824, 51874, 56974, 51874, 50937, 68615, 59771, 52490, 57817, 52490, 57356, 52999, 58020, 52999, 59352, 52999, 57824, 52999, 56974, 52999, 50937, 62147, 59771, 51874, 57817, 51874, 57356, 51874, 58020, 51874, 59352, 51874, 57824, 51874, 56974, 51874, 50937, 68615, 50937, 74010, 50977, 60423, 56202, 52490, 57817, 52490, 50937, 74010, 50938, 60423, 57943, 52999, 58020, 52999, 59352, 52999, 50937, 74010, 50938, 60423, 55178, 52999, 50937, 50706, 50306, 50924, 58260, 57431, 52999, 50937, 69220, 50865, 65405, 50865, 62147, 50937, 68657, 79185, 50727, 50309, 55377, 50798, 51377, 50420, 51874, 50937, 50727, 50309, 55377, 50913, 54278, 51874, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 51874, 50937, 50986, 51047, 50970, 51047, 50947, 51047, 50727, 50309, 53840, 50937, 53226, 50913, 54014, 51874, 50937, 50727, 50309, 55377, 50798, 51056, 50444, 51874, 50937, 50727, 50321, 55377, 50913, 54356, 51874, 50937, 50727, 50309, 55377, 50816, 51377, 50456, 51874, 50937, 50727, 50309, 55377, 50913, 50866, 68615, 50937, 51246, 50866, 61414, 65899, 50727, 50321, 55377, 50798, 51377, 50420, 52490, 50937, 50727, 50309, 55377, 50913, 54278, 52490, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 52999, 50937, 51246, 51047, 51136, 51047, 50929, 51047, 50727, 50309, 53840, 50937, 53226, 50913, 54014, 52999, 50937, 50727, 50309, 53840, 50937, 53226, 50444, 52999, 50937, 70210, 50866, 70776, 53840, 50937, 53226, 50913, 54356, 52999, 50937, 50727, 50318, 50866, 50727, 50330, 55377, 50913, 56466, 77304, 52999, 50937, 50727, 50321, 50866, 50727, 50333, 55377, 50913, 50866, 62147, 50937, 68657, 79185, 50727, 50309, 55377, 50798, 51377, 50420, 51874, 50937, 50727, 50309, 55377, 50913, 54278, 51874, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 51874, 50937, 50986, 51047, 50970, 51047, 50947, 51047, 50727, 50309, 53840, 50937, 53226, 50913, 54014, 51874, 50937, 50727, 50309, 55377, 50798, 51056, 50444, 51874, 50937, 50727, 50321, 55377, 50913, 54356, 51874, 50937, 50727, 50309, 55377, 50816, 51377, 50456, 51874, 50937, 50727, 50309, 55377, 50913, 50866, 68615, 50937, 51246, 50866, 51136, 50866, 63124, 50727, 50321, 55377, 50798, 51377, 50420, 52490, 50937, 50727, 50309, 55377, 50913, 54278, 52490, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 52999, 50937, 51246, 51047, 50960, 51047, 50970, 51047, 50727, 50309, 53840, 50937, 53226, 50913, 54014, 52999, 50937, 50727, 50309, 53840, 50937, 53226, 50444, 52999, 50937, 70210, 50866, 70776, 53840, 50937, 53226, 50913, 50866, 51889, 54356, 52999, 50937, 50727, 50318, 50866, 50727, 50330, 55377, 50913, 50866, 51889, 56466, 77304, 52999, 50937, 50727, 50321, 50866, 50727, 50333, 55571, 57733, 50866, 62147, 50937, 68657, 79185, 50727, 50309, 55377, 50798, 51377, 50420, 51874, 50937, 50727, 50309, 55377, 50913, 54278, 51874, 50937, 50727, 50321, 50866, 61019, 56466, 50937, 53226, 50432, 51874, 50937, 50986, 51047, 50970, 51047, 50947, 51047, 50727, 50309, 50866, 61019, 53840, 50937, 53226, 50913, 54014, 51874, 50937, 50727, 50309, 55377, 50798, 51056, 50439, 57727, 60182, 51874, 50937, 50727, 50321, 55377, 50913, 54356, 51874, 50937, 50727, 50309, 55377, 50816, 51377, 50456, 51874, 50937, 50727, 50309, 55377, 50913, 50866, 50457, 59595, 50866, 68615, 50937, 51246, 50866, 61414, 65899, 50727, 50321, 55377, 50798, 51377, 50415, 62217, 55085, 52490, 50937, 50727, 50309, 55377, 50913, 50866, 50421, 62217, 54278, 52490, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 52999, 50937, 51246, 51047, 51136, 51047, 50929, 51047, 50727, 50309, 50866, 62217, 59084, 50937, 53226, 50913, 54014, 52999, 50937, 50727, 50309, 53840, 50937, 53226, 50444, 52999, 50937, 70210, 50866, 70776, 53840, 50937, 53226, 50913, 54356, 52999, 50937, 50727, 50318, 50866, 50727, 50330, 55377, 50913, 56466, 77304, 52999, 50937, 50727, 50321, 50866, 50727, 50333, 55377, 50913, 50866, 50457, 62217, 50866, 62147, 50937, 68657, 79185, 50727, 50309, 50866, 61019, 55377, 50798, 51377, 50420, 51874, 50937, 50727, 50309, 50866, 61019, 55377, 50913, 50866, 50425, 61019, 54278, 51874, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 51874, 50937, 50986, 51047, 50970, 51047, 50947, 51047, 50727, 50309, 50866, 61019, 53840, 50937, 53226, 50913, 54014, 51874, 50937, 50727, 50309, 50866, 57727, 51025, 53226, 50798, 51056, 50444, 51874, 50937, 50727, 50321, 55377, 50913, 54356, 51874, 50937, 50727, 50309, 50866, 61019, 51025, 53226, 50816, 51377, 50456, 51874, 50937, 50727, 50309, 55377, 50913, 50866, 68615, 50937, 51246, 50866, 51136, 50866, 63124, 50727, 50321, 50866, 59595, 55377, 50798, 51377, 50420, 52490, 50937, 50727, 50309, 55377, 50913, 50866, 50421, 62217, 54278, 52490, 50937, 50727, 50321, 56466, 50937, 53226, 50432, 52999, 50937, 51246, 51047, 50960, 51047, 50970, 51047, 50727, 50309, 50866, 62217, 59084, 50937, 53226, 50913, 54014, 52999, 50937, 50727, 50309, 53840, 50937, 53226, 50444, 52999, 50937, 70210, 50866, 70776, 53840, 50937, 53226, 50913, 54356, 52999, 50937, 50727, 50318, 50866, 50727, 50330, 55377, 50913, 56466, 77304, 52999, 50937, 50727, 50321, 50866, 50727, 50333, 55571, 57733, 50866, 50457, 62217, 50866, 62147, 50937, 68657, 79185, 50727, 50309, 55377, 50798, 51377, 50415, 61019, 55085, 51874, 50937, 50727, 50309, 50866, 61019, 55377, 50913, 54278, 51874, 50937, 50727, 50321, 50866, 61019, 56466, 50937, 53226, 50432, 51874, 50937, 50986, 51047, 50970, 51047, 50947, 51047, 50727, 50309, 50866, 61019, 53840, 50937, 53226, 50913, 54014, 51874, 50937, 50727, 50309, 50866, 57727, 55377, 50798, 51056, 50444, 51874, 50937, 50727, 50321, 50866, 57727, 55377, 50913, 50866, 50449, 61019, 54356, 51874, 50937, 50727, 50309, 55377, 50816, 51377, 50455, 61019, 54752, 51874, 50937, 50727, 50309, 55377, 50913, 50866, 68615, 50937, 51246, 50866, 61414, 65899, 50727, 50321, 50866, 59595, 55377, 50798, 51377, 50420, 52490, 50937, 50727, 50309, 50866, 62217, 55377, 50913, 54278, 52490, 50937, 50727, 50321, 50866, 62217, 56466, 50937, 53226, 50432, 52999, 50937, 51246, 51047, 51136, 51047, 50929, 51047, 50727, 50309, 50866, 62217, 59084, 50937, 53226, 50913, 54014, 52999, 50937, 50727, 50309, 53840, 50937, 53226, 50444, 52999, 50937, 70210, 50866, 70776, 53840, 50937, 53226, 50913, 54356, 52999, 50937, 50727, 50318, 50866, 50727, 50330, 50866, 62217, 55377, 50913, 56466, 77304, 52999, 50937, 50727, 50321, 50866, 50727, 50333, 50866, 62217, 55377, 50913, 50866, 62147, 50937, 68657, 79185, 50727, 50309, 50866, 61019, 51025, 53226, 50798, 51377, 50420, 51874, 50937, 50727, 50309, 55377, 50913, 54278, 51874, 50937, 50727, 50321, 50866, 61019, 56466, 50937, 53226, 50432, 51874, 50937, 50986, 51047, 50970, 51047, 50947, 51047, 50727, 50309 ]

[ 0, 713, 19834, 2125, 6, 19, 10, 2842, 9, 5175, 2712, 6, 7630, 6568, 10, 12298, 1619, 4780, 4, 27901, 10, 20535, 2810, 6, 32909, 6, 1076, 560, 31365, 25999, 6, 21072, 6, 8, 21979, 9590, 6, 24, 11498, 10, 23758, 3938, 20889, 11, 132, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 5, 15229, 24536, 10, 33215, 13931, 9, 211, 119, 6, 211, 119, 406, 6, 8, 274, 119, 6, 8216, 7, 63, 25306, 8, 32076, 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 ]

[ 69781, 51038, 51038, 50422, 51831, 50811, 52103, 50811, 52334, 57485, 52457, 50811, 52719, 50811, 53689, 50811, 50799, 51831, 51505, 56724, 54430, 52832, 54430, 51721, 53501, 50798, 54188, 50918, 51206, 51469, 51098, 51300, 55282, 52570, 52103, 51795, 60671, 52570, 50422, 51667, 51932, 50804, 50880, 52334, 50823, 51898, 53537, 50843, 56153, 50386, 54118, 78137, 51831, 54168, 56503, 55004, 50830, 53689, 50803, 52334, 52674, 51389, 53663, 51667, 51505, 50804, 57148, 51014, 51065, 50918, 52334, 51732, 51898, 51795, 50446, 51643, 51932, 50798, 54738, 51045, 51913, 50811, 51683, 55059, 51098, 64978, 55557, 56153, 72634, 53240, 51072, 50458, 51667, 54627, 56715, 55063, 50940, 52103, 51732, 51913, 50811, 55985, 50862, 71756, 70958, 67225, 50918, 52078, 51407, 51913, 51184, 51683, 51732, 50422, 51831, 51932, 50804, 50385, 53830, 50830, 73383, 51509, 51973, 50843, 56153, 50386, 54118, 51045, 50429, 51154, 50359, 50413, 50434, 52457, 53056, 56503, 63148, 50910, 51898, 52737, 51485, 52057, 51831, 51505, 50804, 55790, 51033, 51065, 51112, 51485, 52737, 51509, 51795, 50443, 51093, 50359, 50413, 50445, 51389, 51029, 50446, 51667, 51932, 50804, 56153, 55004, 51045, 51713, 50803, 52002, 52116, 50798, 52847, 60456, 51112, 50452, 51113, 50359, 50413, 50458, 51831, 54627, 56153, 55004, 50940, 51648, 50817, 51713, 50817, 75799, 70958, 67225, 50918, 51098, 51300, 51713, 51795, 52002, 51352, 50422, 51643, 51932, 50804, 50880, 52067, 50803, 52629, 51973, 50843, 56153, 50386, 54118, 78137, 51667, 53235, 56503, 55004, 50830, 51273, 50824, 51509, 51300, 52067, 52952, 51643, 56421, 57148, 51014, 51065, 50918, 52306, 50860, 52067, 50823, 52629, 56695, 51643, 56701, 57148, 51045, 51140, 50894, 52306, 50803, 52067, 50803, 52629, 52116, 51667, 56562, 52847, 50880, 51216, 50976, 52002, 50976, 52067, 70937, 51326, 59672, 51643, 56421, 57148, 50940, 51206, 51469, 51098, 50976, 55282, 51012, 52103, 51012, 51683, 51012, 51713, 51012, 52002, 50802, 52306, 50802, 52334, 50860, 51431, 50860, 51509, 50860, 52067, 50860, 52629, 50860, 51528, 50867, 57493, 54658, 50804, 58741, 63701, 52369, 52185, 52369, 51643, 52369, 51728, 54118, 50940, 51335, 51585, 51705, 51795, 54961, 53435, 51906, 53435, 51888, 54055, 52747, 51795, 54348, 51795, 51723, 51795, 52264, 51795, 52629, 51795, 55558, 51795, 50426, 50913, 50921, 57096, 50880, 58523, 63027, 57148, 51045, 51868, 51527, 53550, 62505, 51456, 69354, 51289, 50386, 54118, 50940, 54021, 63399, 52723, 53120, 56365, 51014, 50454, 51326, 69312, 51289, 56365, 51014, 50461, 51643, 51795, 51993, 51795, 50799, 52832, 51655, 51831, 51469, 51667, 52017, 50798, 52374, 51091, 51206, 51469, 71831, 50425, 50665, 50309, 51010, 51302, 55557, 50385, 54118, 55968, 51500, 52419, 50976, 55865, 52266, 52664, 52369, 52103, 52266, 51913, 52266, 57350, 50962, 54595, 50962, 52334, 69696, 65745, 50830, 57411, 56341, 50913, 72644, 50918, 52157, 51066, 50439, 67823, 57915, 50798, 54738, 51045, 57350, 50962, 54595, 50962, 52334, 53595, 66509, 52279, 51864, 56332, 50880, 52659, 51066, 50457, 51643, 51045, 52113, 79191, 64229, 50940, 50461, 51643, 50817, 52372, 51352, 51375, 51307, 51357, 51655, 51107, 51492, 50799, 52457, 51238, 51831, 51685, 52135, 52282, 51633, 66984, 56707, 50918, 51522, 50976, 56636, 52282, 52719, 52311, 52103, 52282, 52310, 52282, 57929, 50962, 53689, 50962, 52334, 50930, 50421, 52226, 70838, 52834, 50830, 55366, 59214, 51633, 55447, 51633, 51552, 66509, 52279, 51864, 56332, 50385, 54118, 51045, 51668, 51066, 58523, 50836, 51340, 53830, 50910, 57929, 50930, 53689, 50880, 52334, 53116, 78525, 53914, 66097, 50918, 51389, 51066, 58313, 51388, 53689, 51505, 52334, 50911, 50446, 51633, 51010, 51831, 50882, 52135, 56701, 55790, 51045, 51648, 50950, 52719, 50950, 52103, 50950, 52310, 50950, 53689, 50962, 57929, 50962, 52334, 55510, 51633, 50811, 53179, 51670, 51421, 56332, 50880, 51668, 72747, 51633, 50811, 51993, 58150, 52135, 50811, 51633, 51010, 52113, 50811, 51831, 50882, 52135, 56701, 50880, 63506, 50940, 51389, 50930, 52719, 50950, 52103, 50950, 52310, 50950, 51648, 50950, 52334, 51010, 57929, 50962, 53689, 50962, 51528, 52716, 50918, 51098, 51066, 51088, 50359, 50412, 51165, 53520, 50415, 52185, 50817, 51652, 50860, 51643, 50860, 50416, 50665, 50311, 57646, 52457, 51031, 51652, 51031, 51721, 50962, 51652, 51407, 51643, 54217, 52719, 51010, 51963, 51010, 51906, 50962, 51776, 51010, 51898, 50930, 51485, 50883, 51579, 50962, 52336, 50962, 51302, 51864, 56332, 50385, 54118, 51014, 51261, 61536, 72842, 74958, 63506, 50830, 51098, 56341, 52457, 51021, 51652, 51021, 51667, 50911, 66346, 53607, 72644, 50918, 51150, 51066, 51898, 50930, 51485, 50880, 51579, 50962, 52336, 51010, 50445, 54295, 50962, 52719, 51010, 51963, 50962, 51648, 75568, 51652, 50949, 52457, 50930, 51721, 55146, 54738, 68280, 52457, 50975, 51652, 57432, 51864, 56332, 50880, 51868, 51066, 50458, 64229, 50940, 51898, 50930, 52336, 50962, 51485, 50930, 51579, 59426, 66346, 74380, 52457, 51029, 51667, 51029, 51528, 56707, 50918, 51389, 51066, 55282, 50962, 52719, 51010, 51963, 51010, 51906, 72255, 66509, 57646, 53867, 50940, 58313, 50823, 51723, 53537, 52457, 51031, 51652, 51031, 51721, 56106, 51864, 56332, 57148, 50921, 51150, 50976, 51898, 50894, 51485, 50930, 51579, 50962, 52336, 50962, 57350, 63043, 58313, 59225, 51723, 53695, 57350, 50854, 51898, 58645, 52457, 51029, 51652, 51029, 55282, 51010, 54295, 50962, 51963, 51010, 51648, 73312, 72842, 55146, 50836, 64229, 51045, 51098, 61023, 60671, 50808, 52039, 52599, 51652, 51110, 67823, 52625, 51112, 51261, 50803, 57350, 50806, 51898, 50806, 51485, 50893, 51579, 51286, 52067, 51388, 50442, 51098, 50882, 50445, 55282, 51055, 54295, 51290, 51963, 51055, 51648, 51055, 50446, 51652, 50949, 52457, 50930, 51721, 56106, 50385, 54118, 50940, 51273, 50930, 58313, 51010, 51723, 50962, 51485, 50962, 51579, 50930, 52336, 78574, 50665, 50311, 55510, 52457, 59569, 52847, 55790, 72644, 51112, 51216, 51066, 50458, 51721, 50803, 52226, 51779, 55790, 51014, 55282, 51010, 54295, 50962, 51963, 51010, 51648, 50962, 50460, 51667, 50949, 51154, 51538, 51113, 51538, 51093, 51538, 50461, 51667, 51407, 51633, 51407, 50799, 55066, 51264, 52832, 51655, 51831, 51469, 51667, 52017, 50798, 52716, 50918, 51140, 54107, 50665, 50309, 51779, 51864, 56332, 50385, 54118, 51014, 52419, 50976, 52664, 50962, 52103, 50962, 51913, 51010, 57350, 50962, 54595, 50962, 52334, 69696, 63506, 50830, 57411, 56341, 50913, 72644, 50918, 52157, 51066, 52664, 50923, 52103, 50923, 51963, 51012, 50439, 67823, 57276, 51667, 50823, 51643, 50860, 60260, 54738, 51045, 52664, 50930, 52103, 50890, 51913, 50930, 57350, 50962, 54595, 50962, 52334, 61925, 51831, 50803, 52135, 64978, 51864, 56332, 50880, 52659, 51066, 50453, 51667, 50803, 51643, 52163, 51667, 51031, 51667, 50817, 51643, 51031, 51633, 57303, 66509, 65083, 64229, 50940, 52664, 50962, 52103, 50962, 51913, 51010, 50460, 51643, 51009, 52200, 51009, 51093, 51294, 51395, 51204, 51182, 51091, 50461, 74771, 50811, 50799, 67500, 51077, 56724, 51336, 52832, 51196, 52770, 51551, 50798, 56707, 50918, 51461, 50976, 65015, 51175, 53689, 51167, 50422, 52834, 50830, 51461, 50930, 50707, 50295, 50949, 53709, 50890, 51302, 51864, 56332, 50385, 54118 ]

[ 0, 250, 33928, 5175, 1619, 2214, 19, 10, 19834, 16464, 6, 4246, 10, 6755, 12547, 6, 38668, 22052, 6, 2382, 3459, 8669, 6, 18558, 6, 8, 21979, 9590, 4, 8504, 11, 83, 538, 19, 10, 231, 73, 398, 86, 6543, 6, 24, 3136, 23, 10, 11956, 38451, 3938, 20889, 6, 2351, 10, 15352, 30054, 8, 33558, 5466, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50627, 52112, 51544, 50863, 51570, 52805, 52112, 50462, 51970, 50474, 51970, 51540, 51389, 51896, 50899, 50858, 50989, 50858, 50877, 55110, 54005, 50860, 53337, 75965, 62391, 50955, 51361, 53219, 50899, 50812, 59289, 50877, 51373, 53938, 51389, 51091, 51185, 51074, 52165, 51376, 52110, 51376, 55943, 71066, 50952, 50989, 77439, 54312, 52633, 50364, 51071, 50952, 50462, 51668, 59153, 50859, 63282, 61233, 59640, 50930, 50474, 51216, 59153, 50942, 68532, 57634, 59640, 50880, 51540, 51098, 51358, 50899, 50800, 58882, 50973, 52744, 54005, 51010, 53337, 50897, 57660, 71777, 51361, 53219, 50899, 50812, 60569, 50973, 52854, 53938, 51098, 51551, 51810, 51697, 53706, 51074, 55943, 51884, 50899, 50859, 56437, 50973, 55236, 52374, 50364, 51071, 50865, 78092, 50952, 58882, 69315, 52093, 50474, 51668, 65610, 50952, 58882, 50973, 50938, 59640, 50880, 51540, 51216, 51358, 50916, 50952, 64940, 51028, 50952, 51301, 50838, 52091, 53284, 54005, 50950, 50419, 51491, 51277, 52582, 51277, 56248, 50925, 61133, 51028, 50897, 51088, 51309, 51678, 51309, 50431, 51113, 50838, 51701, 50838, 51361, 58414, 51357, 51277, 52252, 51277, 59419, 65840, 50955, 51028, 52854, 63610, 51488, 51481, 52736, 73265, 51216, 50918, 52110, 52179, 55533, 51376, 57288, 78912, 50897, 57634, 74106, 51113, 52034, 51701, 52034, 50791, 50364, 51053, 56701, 56974, 51357, 51212, 52252, 51212, 50462, 68899, 61133, 72814, 52093, 50463, 51488, 50933, 52736, 50933, 50468, 51107, 51277, 52009, 51277, 50474, 51493, 51048, 50916, 65840, 50955, 51028, 50897, 51266, 51058, 52295, 51058, 59640, 50882, 50479, 51600, 51277, 53608, 51277, 50485, 51488, 50838, 52736, 50838, 51540, 51216, 51218, 50916, 65840, 50955, 51028, 57837, 54005, 60442, 51107, 52059, 52009, 52059, 50425, 51266, 51277, 52295, 51277, 56248, 50897, 61133, 51028, 50925, 50431, 51600, 51006, 53608, 51006, 51361, 58414, 51182, 51277, 52471, 51277, 62145, 52434, 50308, 50897, 61133, 51028, 57567, 51864, 63610, 51284, 50974, 53051, 50974, 50448, 51558, 50972, 54415, 55437, 67488, 51403, 51365, 52110, 51074, 55533, 51365, 70489, 57634, 51028, 55588, 53111, 50364, 51053, 50894, 50455, 51905, 51376, 55031, 51376, 50460, 51384, 51172, 54155, 51172, 50462, 51672, 51009, 51705, 70660, 65840, 50955, 51028, 50897, 75194, 52773, 50894, 50467, 51733, 50838, 55697, 50838, 50473, 52405, 51309, 61570, 51309, 50474, 51493, 50889, 51403, 50907, 52110, 51884, 55533, 57800, 50308, 65840, 50955, 51028, 50897, 59640, 54092, 50894, 50479, 51926, 51309, 56141, 51309, 50485, 52487, 54143, 60541, 54143, 51540, 51249, 50824, 51273, 51358, 50899, 50952, 59289, 50877, 55593, 51920, 57888, 51973, 51719, 65240, 50955, 66908, 50877, 50917, 51361, 53219, 75902, 59289, 50877, 55744, 53938, 51273, 51336, 55943, 51470, 51185, 51365, 52165, 51365, 52110, 51365, 75818, 63435, 50877, 55593, 50364, 51053, 56701, 50952, 50462, 51465, 65240, 50808, 66908, 72733, 52093, 50474, 51410, 50824, 51705, 64209, 50897, 50989, 65840, 50897, 59640, 50821, 51540, 51465, 51352, 51216, 51623, 51040, 50859, 65927, 50877, 51420, 54005, 56519, 51040, 50844, 50916, 65840, 50897, 51361, 53219, 63489, 50916, 77439, 53330, 53938, 67488, 55533, 51376, 51403, 51210, 52110, 52216, 50305, 50844, 74656, 50877, 53330, 50364, 51053, 54627, 50879, 50462, 51719, 50824, 51668, 51159, 51040, 50854, 64001, 71091, 59640, 50859, 50474, 51868, 73685, 50874, 67597, 50877, 50917, 59640, 50882, 51540, 51719, 50824, 51389, 51358, 70798, 59289, 50877, 52854, 54005, 56519, 51465, 65240, 63270, 59903, 50844, 51361, 53219, 51410, 51184, 69308, 66908, 50877, 51373, 53938, 51389, 51112, 51185, 52731, 52165, 51210, 52110, 51862, 55943, 52192, 53477, 51004, 50899, 74127, 60268, 51575, 50364, 51053, 54047, 55037, 50973, 50849, 50462, 51668, 58421, 50917, 59640, 50858, 50474, 51216, 62525, 50822, 59289, 59755, 59640, 50859, 51540, 51389, 51358, 70798, 59289, 50877, 52854, 54005, 51033, 53337, 63270, 59903, 50844, 51361, 53219, 69308, 66908, 50877, 51373, 53938, 51389, 50889, 51185, 50984, 52165, 50984, 52110, 50907, 55943, 52179, 53477, 50982, 50899, 74127, 60268, 51575, 50364, 51053, 52997, 58603, 50973, 50849, 50462, 51668, 51056, 50877, 50917, 59640, 50859, 50474, 51410, 50824, 67488, 51185, 51210, 52110, 51365, 55943, 51365, 52165, 50984, 53477, 50982, 60501, 59289, 59755, 59640, 50859, 51540, 51672, 51352, 51098, 52282, 51902, 54373, 51612, 52720, 52290, 54270, 75818, 65150, 50973, 55744, 54005, 50859, 53337, 50854, 60192, 73186, 51361, 53219, 60833, 60569, 50973, 55999, 53938, 51098, 51336, 51810, 51210, 53706, 51524, 55943, 70279, 50910, 58882, 50973, 55690, 50364, 51053, 54627, 50938, 50462, 51672, 50824, 60509, 62958, 66737, 52093, 50474, 51672, 50824, 51389, 62649, 50942, 60192, 66737, 59640, 50859, 51540, 51231, 51352, 51098, 50983, 75902, 65150, 50973, 55966, 54005, 50882, 53337, 50942, 57660, 50973, 50955, 51361, 53219, 51098, 65159, 50897, 57660, 50973, 50977, 51718, 51053, 54721, 51098, 51226, 51810, 51365, 53706, 51210, 55943, 53536, 50306, 50925, 62958, 50973, 55325, 50364, 51053, 54627, 50879, 50462, 51249, 50824, 51668, 62525, 50942, 62958, 50973, 50866, 59640, 50859, 50474, 51672, 50824, 51868, 59153, 50897, 62958, 50973, 50866, 59640, 50858, 50485, 52974, 54373, 51540, 51672, 50824, 51389, 51896, 51584, 52720, 75818, 50989, 59035, 56879, 54005, 54856, 51249, 51352, 69505, 59289, 50877, 50977, 51361, 53219, 60833, 66908, 50877, 55966, 53938, 51389, 50918, 51185, 51824, 52165, 51824, 52110, 51365, 55943, 55505, 50306, 50942, 59289, 50877, 56522, 50364, 51053, 56701, 51173, 50462, 70537, 66908, 50877, 50937, 52093, 50474, 51216, 64815, 50942, 59289, 57634, 59640, 50859, 51540, 51389, 51191, 70537, 59289, 50877, 55966, 54005, 50950, 53337, 50925, 77663, 50877, 56799, 51389, 50836, 62246, 51389, 50812, 60833, 66908, 50877, 60175, 51864, 53938, 51389, 51091, 55943, 51824, 51185, 52192, 52165, 51365, 52110, 51365, 60509, 77663, 50877, 55966, 50364, 51053, 54092, 50873, 50462, 51668, 51159, 70537, 68532, 64940, 59640, 50800, 50474, 51410, 50824, 51216, 50889, 51185, 52731, 52165, 52192, 52110, 52179, 55943, 51470, 53477, 50928, 70537, 77663, 64940, 59640, 54047, 51227, 51540, 51672, 51184, 51098, 51091, 52290, 59828, 51902, 69103, 60833, 68929, 50973, 54260, 51920, 54020, 51973, 74372, 60569, 50973, 60539, 51098, 51421, 53219, 51098, 50897, 60833, 60569, 50973, 50955, 59284, 53938, 51098, 51294, 51185, 51166, 51810, 51074, 53706, 51737, 55943, 52511, 50306, 50942, 56437, 50973, 50987, 62857, 50364, 51071, 51215, 50462, 51672, 50824, 51273, 62525, 50942, 56437, 50973, 50955, 59640, 50930, 50474, 51098, 59153, 50910, 57660, 50973, 50917, 59640, 50962, 50484, 52792, 50361, 50411, 50485, 52170, 56004, 52075, 57771, 51540, 52109, 51352, 51216, 51161, 74656, 50877, 52415, 50317, 54260, 54005, 54856, 61412, 62804, 51028, 50955, 51361, 53219, 70584, 62804, 51028, 55966, 53938, 51984, 50889, 51403, 52782, 52110, 51074, 55533, 53536, 50308, 65840, 50955, 51028, 57837, 50364, 51053, 52997, 51238, 50462, 51672, 50824, 51868, 51191, 50916, 66388, 50959, 80152, 59640, 50894, 50474, 52109, 50824, 51216, 51159, 50916, 66388, 52415, 50317, 50866, 59640, 50950, 50485, 51584, 50362, 50411, 52974, 57598, 51612, 52720, 51540 ]

[ 0, 250, 19448, 8, 5679, 26709, 3495, 2214, 19, 10, 19834, 16464, 6, 4246, 10, 13305, 483, 7513, 30, 21040, 2426, 6, 6755, 12547, 6, 23338, 33518, 1264, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 38451, 3938, 20889, 6, 2351, 10, 32625, 5466, 4, 20, 33215, 16739, 9, 272, 6, 230, 6, 272, 6, 3676, 6, 8, 230, 3639, 7, 63, 15352, 30054, 16426, 6, 442, 24, 10, 1969, 2564, 13, 10, 1619, 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 ]

[ 57333, 50796, 50458, 54437, 63309, 50460, 52769, 55490, 51434, 57015, 51774, 55490, 51607, 50870, 50799, 52817, 52644, 51085, 55490, 51615, 71620, 52043, 50825, 51992, 51022, 52969, 53413, 50798, 52101, 50415, 52257, 52944, 51026, 57232, 53523, 52407, 64185, 52011, 50798, 52101, 62204, 53588, 58365, 54829, 59758, 54211, 72407, 52460, 50457, 54437, 58468, 50458, 52769, 58468, 50459, 51434, 59789, 51774, 54829, 50461, 51607, 50904, 53997, 53142, 52043, 54880, 52101, 50415, 52257, 52944, 51026, 53486, 53523, 52136, 64185, 51432, 50798, 52101, 50438, 52817, 51060, 50861, 51637, 51992, 51387, 52969, 74458, 53036, 51100, 50916, 52460, 51656, 52059, 52235, 52192, 53429, 51242, 50449, 52187, 51884, 50450, 54615, 51177, 50900, 51074, 53399, 51387, 56647, 51242, 50455, 53918, 51121, 51711, 52059, 53085, 51387, 54799, 66913, 51026, 74879, 56090, 55776, 50459, 55243, 57232, 50460, 52806, 53866, 50461, 51838, 51333, 51440, 50891, 50799, 54263, 51800, 50289, 52071, 51607, 50825, 53727, 52192, 56216, 61011, 52101, 50415, 52043, 65533, 52807, 52944, 51315, 52980, 50425, 51711, 52063, 50426, 53918, 51043, 51027, 52256, 53085, 51387, 54799, 51337, 50431, 52033, 66595, 50432, 53719, 51313, 50900, 51387, 51971, 53697, 53195, 73506, 52101, 59419, 54829, 55513, 51965, 76400, 54211, 50456, 51315, 51387, 50457, 56090, 53801, 50458, 55243, 53055, 50460, 52806, 54532, 51660, 78584, 51440, 50941, 55547, 53588, 51607, 56630, 52101, 50415, 52043, 53405, 51315, 54829, 57025, 53280, 56014, 53306, 50798, 52101, 50437, 52133, 52482, 50438, 53664, 62430, 53674, 53032, 50974, 50439, 51756, 51387, 50443, 51881, 52063, 50444, 53200, 63327, 51074, 51760, 51387, 52758, 50974, 50449, 53664, 51101, 52133, 52063, 53032, 51328, 76400, 51079, 51756, 51387, 50455, 53200, 51177, 51881, 52482, 58933, 60237, 51760, 53010, 52758, 77228, 51315, 50907, 50457, 54437, 56599, 50458, 53369, 53866, 50459, 51774, 70004, 53664, 52644, 52133, 71620, 51515, 50971, 53032, 53849, 54734, 52335, 51440, 50864, 51756, 54836, 50798, 52101, 50415, 51607, 52944, 51085, 52168, 60643, 52519, 74769, 69206, 52101, 55203, 51703, 69375, 52460, 50450, 51050, 52397, 50455, 58933, 53055, 50456, 51085, 51432, 50457, 54437, 56563, 50459, 53369, 54557, 51774, 63940, 51515, 56772, 51440, 50825, 54734, 54171, 51607, 54880, 52101, 50420, 51085, 54829, 60643, 53674, 74769, 51387, 50798, 52101, 50438, 53664, 61528, 53096, 51756, 53010, 53032, 50974, 50443, 51881, 51884, 50444, 53200, 63663, 50907, 51760, 51387, 52758, 50974, 50449, 53664, 51177, 52133, 51884, 53032, 78271, 51050, 52034, 51756, 51387, 50455, 53200, 50849, 51881, 52059, 54437, 60237, 52758, 56711, 51085, 50984, 51760, 51387, 50457, 52769, 54573, 50459, 51774, 52980, 51660, 68358, 51434, 60863, 53719, 51121, 52033, 56329, 51607, 50864, 53195, 51481, 53997, 52222, 52043, 50864, 51971, 52192, 50420, 52817, 51112, 51026, 52980, 53523, 52256, 51240, 51550, 50431, 52817, 56504, 50916, 51166, 51240, 62913, 52817, 63925, 50995, 51992, 51862, 51170, 65438, 50916, 71852, 66674, 53719, 51100, 50900, 55713, 51550, 50455, 52817, 66313, 51026, 51123, 50457, 53369, 50932, 50459, 51774, 53892, 51515, 78584, 51440, 50863, 51607, 50837, 50799, 53036, 51077, 51247, 50932, 52327, 50864, 52235, 51862, 60284, 52136, 57025, 51432, 51240, 78898, 54437, 66595, 56014, 50984, 52769, 58651, 51240, 51252, 50434, 51774, 51922, 51660, 67171, 51434, 66861, 51607, 55108, 52817, 51359, 51085, 52071, 52043, 50864, 51992, 52192, 51170, 62095, 51026, 72782, 51170, 51252, 55895, 52397, 51236, 67301, 50916, 51387, 54594, 54829, 56440, 55586, 51660, 51709, 54227, 51832, 53523, 52441, 51434, 51481, 52387, 50363, 52272, 60346, 51026, 51387, 51607, 51080, 51756, 57481, 51085, 51961, 51434, 51965, 52387, 76373, 51026, 52011, 51660, 51432, 54227, 50362, 51371, 77137, 51774, 52063, 55895, 53892, 54786, 52514, 50455, 51660, 51862, 50456, 50916, 51269, 56090, 52140, 50457, 55243, 53866, 50459, 52806, 52980, 51774, 65019, 51660, 50971, 50799, 53664, 51734, 50289, 52335, 51440, 50904, 51607, 50904, 50415, 51756, 57711, 51315, 53486, 50426, 53719, 63663, 52256, 51240, 51252, 56014, 51432, 51240, 51252, 50433, 53719, 54975, 50916, 52034, 51170, 51550, 50439, 51971, 51022, 55513, 55073, 51550, 50445, 53664, 55247, 51027, 51079, 51236, 66614, 53719, 51178, 51315, 50912, 58933, 55197, 50458, 54437, 53726, 50459, 53369, 52482, 51515, 74445, 51440, 65540, 51607, 50941, 54734, 51097, 52327, 50886, 51850, 51862, 50415, 52756, 51183, 60284, 52136, 57025, 51387, 51240, 51550, 50431, 54437, 76297, 56014, 50368, 51826, 51550, 50433, 52769, 65527, 50434, 51774, 52503, 50435, 51660, 51123, 50436, 51434, 51142, 50437, 53719, 51151, 51607, 56006, 51085, 51381, 51971, 51862, 51170, 51550, 50439, 52043, 57940, 51026, 55002, 51170, 51550, 55895, 51166, 51236, 66614, 50916, 51697, 53997, 54171, 56978, 55586, 51660, 51466, 54227, 52101, 50425, 51434, 52518, 53523, 52441, 52387, 50362, 52638, 51550, 50431, 51607, 51172, 51756, 52514, 64185, 51697, 50437, 51434, 51961, 52387, 51306, 57267, 52034, 50443, 51660, 52063, 54227, 52514, 65827, 50368, 51937, 51550, 50449, 51774, 53430, 50900, 51074, 50454, 57848, 57032, 50456, 79083, 53722, 53280, 50457, 52769, 52441, 50459, 51614, 51365, 50460, 51434, 71206, 51808, 50851, 50799, 53200, 52415, 50287, 51381, 51669, 50864, 51760, 50367, 53224, 63478, 53200, 50959, 51026, 52519, 50426, 53200, 50955, 51086, 64809, 53200, 64763, 51283, 52190, 56563, 50433, 58933, 52618, 50435, 53722, 56615, 50436, 51614, 50971, 53369, 52048, 50437, 51434, 53018, 51247, 51381, 51808, 50864, 51971, 51128, 50439, 51669, 60362, 53719, 68247, 51050, 51965, 50450, 52756, 51807, 50303, 51079, 51850, 60272, 69271, 50656, 50284, 53838, 50459, 55243, 52618, 51660, 51128, 50460, 51434, 78584, 51992, 51128, 50799, 52817, 51116, 51841, 51097, 51607, 50372, 53224, 51252, 50415, 52043, 54202, 51315, 51965, 50426, 52817, 65117, 51166, 50431, 58933, 61124, 64185, 51022, 54437, 54557, 52190, 51737, 50434, 53369, 54557, 50435, 51774, 50984, 50436, 51515, 64964, 51440, 53945, 53664, 51692, 51247, 52335, 51607, 50864, 51756, 56537, 50606, 62095, 51050, 53486, 76400, 52441, 72407, 51166, 54578, 53674, 52190, 51252, 53502, 52460, 57025, 50984, 50431, 53722, 53838, 50432, 53664, 51121, 51050, 58112, 50608, 51252, 50433, 52806, 53096, 50434, 51614, 51174, 50435, 51515, 51128, 50436, 51440, 59380, 51669, 53945, 52756, 51242, 53719, 50841, 51799, 51172, 52327, 50825, 51850, 62232, 51120, 52136, 50446, 52756, 65295, 51027, 51432, 52190, 51252, 50455, 52756, 51363, 71136, 50984, 57848, 50364, 50412, 50458, 53722, 59828, 50459, 52769, 57771, 52745, 52192, 50461, 51614, 51376, 54795, 53142, 51434, 51376, 50415, 55857, 53651, 51808, 50933, 52721, 51862, 56978, 52980, 62795, 51965, 51240, 51269, 58296, 51852, 57267, 52431, 55989, 52598, 51170, 60205, 51086, 73786, 51026, 51074, 54795, 51671, 56978, 52980, 62795, 51961, 51236, 51269, 58296, 51074, 51236, 51269, 57019, 53674, 51756, 60207, 62622, 53664, 64763, 53892, 51170, 60205, 51086, 76398, 51269, 50455, 53200, 66947, 51026, 51697, 50458, 54437, 55776, 50460, 52769, 53866, 51660, 51126, 51774, 54829, 50461, 51434, 51000, 50799, 53719, 51807, 50292, 51449, 51607, 50864, 51971, 51022 ]

[ 0, 250, 15855, 1619, 2214, 19, 10, 25306, 619, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 20535, 2810, 6, 2003, 38704, 31365, 25999, 6, 8, 21979, 9590, 6, 70, 447, 561, 7, 1045, 10, 32076, 8, 28339, 5466, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 12447, 1001, 20889, 6, 1839, 10, 20902, 8, 15352, 30054, 676, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 53458, 53751, 50323, 51045, 51220, 55968, 53901, 50951, 50823, 51220, 55589, 60085, 52385, 68005, 51552, 51114, 52362, 50327, 53960, 60812, 62678, 51220, 51460, 50450, 50968, 56214, 60135, 51273, 50921, 51762, 53458, 53177, 50323, 50823, 51220, 55589, 53901, 50951, 52035, 50327, 51805, 60085, 66720, 51273, 51009, 51114, 51354, 51220, 66363, 62813, 50951, 50823, 51220, 51460, 50852, 54208, 50968, 51021, 52385, 50458, 52105, 53458, 79237, 50811, 51699, 50940, 52065, 50858, 51251, 50803, 51357, 56736, 51384, 50940, 53170, 55068, 51579, 52651, 61151, 50887, 54439, 50811, 52065, 50894, 51251, 50894, 51384, 50858, 51579, 51779, 57639, 56341, 51273, 51761, 50989, 51354, 52371, 51014, 51600, 50975, 51935, 51259, 57993, 72299, 52065, 50882, 51251, 50894, 51182, 50823, 73915, 51485, 53798, 50916, 50882, 51266, 51010, 52298, 56106, 61151, 69866, 51273, 51014, 52219, 51259, 50840, 53458, 79237, 50803, 51699, 50940, 52065, 50882, 51251, 50803, 51384, 50858, 51579, 52750, 57259, 50887, 54439, 50803, 52065, 50858, 51251, 50894, 51384, 50890, 51579, 52279, 70726, 56341, 51273, 51029, 50989, 51354, 52371, 50940, 51600, 50993, 51938, 51259, 63674, 50861, 50823, 52065, 50858, 51251, 50894, 51182, 50823, 73915, 51485, 53798, 50916, 50858, 51301, 51290, 51266, 50811, 51888, 50915, 52298, 56106, 61151, 69866, 51273, 51033, 52219, 51259, 57747, 74611, 54389, 51573, 58161, 51883, 50940, 51299, 50803, 51251, 50894, 51093, 57676, 51384, 50940, 52306, 52149, 51579, 52651, 57259, 53548, 58161, 51299, 50811, 51251, 50894, 51384, 50890, 51579, 51779, 70726, 56341, 51273, 51761, 50989, 50975, 52371, 50940, 51600, 50993, 51935, 51259, 63674, 50861, 50823, 51299, 50962, 51251, 50894, 51182, 50823, 73915, 51485, 53798, 50916, 50894, 51266, 51010, 51431, 56606, 61151, 69866, 51273, 53703, 57259, 50809, 54389, 70362, 50811, 51883, 50940, 51299, 50962, 51251, 50894, 51384, 50858, 51579, 52651, 57259, 52329, 60373, 51299, 50811, 51251, 50894, 51384, 50890, 51579, 52279, 70726, 54957, 51273, 51735, 50989, 50975, 52371, 50940, 51600, 50993, 51938, 51259, 63674, 50861, 51014, 51299, 50894, 51251, 50894, 51182, 50823, 73915, 51485, 52865, 55510, 51273, 51454, 50916, 50930, 51266, 50811, 51431, 52279, 54046, 50890, 55779, 59496, 52310, 55408, 53458, 79237, 50803, 51699, 50858, 52065, 50800, 51251, 50930, 51357, 56300, 51107, 50887, 51579, 52750, 51421, 52524, 50861, 50894, 52065, 50830, 51251, 50882, 51107, 50859, 51579, 55225, 52675, 50840, 55703, 53894, 51273, 51029, 50989, 51354, 52371, 50808, 51600, 51653, 50801, 52304, 60812, 50861, 51014, 52065, 50800, 51251, 50858, 71548, 52851, 51010, 53689, 51805, 53938, 50899, 50882, 51266, 50962, 57929, 76132, 51559, 57185, 51273, 51508, 50839, 53458, 79237, 50803, 51699, 50800, 52065, 50800, 51251, 50890, 75352, 51579, 52750, 52304, 52524, 50861, 50894, 52065, 50800, 51251, 50882, 75352, 51579, 55225, 51559, 59890, 61767, 51273, 51761, 50989, 50975, 52371, 50910, 51600, 68938, 52716, 57993, 50861, 51014, 52065, 50800, 51251, 50882, 71548, 52851, 50811, 53689, 51805, 53068, 50899, 50930, 51301, 51055, 51266, 51033, 57929, 76132, 51559, 65780, 52851, 51253, 50458, 51273, 50859, 52105, 54389, 51573, 58161, 51357, 50833, 51883, 50800, 51299, 50890, 51251, 50858, 51107, 50882, 51683, 51313, 51579, 52750, 52675, 64580, 51093, 51469, 54439, 50962, 51299, 50930, 51251, 50858, 51107, 50930, 51579, 55225, 51559, 58322, 61767, 51273, 51761, 50989, 51354, 52371, 50859, 51600, 70260, 52716, 57993, 72299, 51299, 50930, 51251, 50882, 71548, 52851, 50811, 53689, 51805, 53938, 50899, 50882, 51266, 51010, 54595, 67854, 55476, 59672, 51273, 50821, 54389, 70362, 51014, 51883, 50910, 51299, 50882, 51251, 50882, 51107, 51014, 51579, 52651, 51421, 52995, 59066, 51992, 50873, 50437, 52678, 51918, 51992, 51008, 50449, 52527, 53533, 51971, 50967, 50461, 51760, 52071, 53458, 53751, 50323, 51045, 51220, 55968, 53901, 50951, 50823, 51220, 55589, 60085, 52385, 68005, 51552, 51114, 52362, 50327, 53960, 60812, 62678, 51220, 51460, 50450, 50968, 56214, 60135, 51273, 50921, 51762, 53458, 53177, 50323, 50823, 51220, 55589, 53901, 51992, 51095, 50951, 52035, 50327, 51805, 60085, 66720, 52235, 50849, 51273, 51009, 51114, 51354, 51220, 66363, 62885, 51992, 62604, 50951, 50823, 51220, 51460, 50852, 54208, 50968, 51021, 52385, 50454, 52527, 52349, 51971, 50924, 50458, 52105, 68093, 51692, 51216, 51226, 50951, 51045, 50999, 51014, 51062, 51805, 53803, 50951, 50950, 50999, 51045, 51062, 51045, 52385, 55703, 53894, 51273, 51761, 51114, 52362, 50325, 53194, 50328, 51138, 52558, 50446, 50951, 50823, 51062, 75044, 50968, 61751, 62705, 51273, 50830, 50989, 51045, 51114, 51014, 51931, 54389, 51603, 50861, 75163, 51805, 61521, 52678, 69706, 51273, 51735, 50899, 50975, 51114, 78053, 60085, 70658, 51992, 51177, 51493, 51932, 50916, 50993, 50951, 67859, 60735, 60520, 71950, 52235, 51111, 51705, 51454, 50989, 53819, 50325, 50803, 51146, 52853, 61688, 51762, 50799, 53399, 51060, 51098, 53751, 50323, 50803, 51220, 51052, 53383, 53016, 51060, 50951, 50823, 51220, 55589, 60673, 53399, 77121, 56270, 51273, 51300, 51114, 51483, 51220, 66888, 64684, 53016, 62150, 50951, 50950, 51220, 51379, 50449, 53399, 55149, 50968, 55121, 50862, 53458, 51552, 50951, 50823, 51220, 72644, 54156, 53016, 51060, 50951, 50823, 51220, 50950, 51762, 50433, 53399, 77121, 51868, 50940, 61767, 51389, 51072, 51114, 51388, 51220, 50923, 52558, 50446, 50951, 50950, 51220, 51175, 56890, 53016, 51111, 51273, 51932, 50968, 55043, 62616, 52235, 51991, 50791, 50857, 54389, 53751, 50323, 50894, 50999, 51033, 51062, 51014, 52385, 50422, 51088, 54818, 50951, 51033, 50999, 51014, 51062, 51805, 60085, 72387, 51301, 59894, 51273, 51029, 51114, 52370, 50325, 52362, 50328, 51021, 52385, 50439, 51491, 78587, 50951, 51014, 51062, 51603, 50447, 51088, 58710, 50968, 51354, 51301, 60257, 62616, 51273, 50882, 50989, 50894, 51114, 51030, 51491, 50940, 51471, 54389, 70362, 51379, 50951, 50976, 51088, 61751, 63630, 51357, 58936, 51093, 51362, 50425, 51992, 69745, 50951, 51603, 50791, 59062, 51868, 50859, 51471, 50437, 52678, 57626, 51389, 51072, 50899, 51060, 50902, 51175, 51114, 51160, 51357, 51073, 52039, 50914, 50852, 62885, 51992, 51058, 50449, 52527, 53533, 51971, 51238, 51273, 51735, 51165, 50896, 52334, 55859, 50855, 68093, 52069, 51098, 51054, 68074, 53499, 50808, 53808, 50938, 55910, 51420, 53901, 51113, 51160, 53499, 51095, 53808, 51116, 55910, 60596, 59062, 51301, 50940, 57929, 50942, 52385, 50435, 52137, 50840, 55910, 56057, 51273, 51552, 51088, 51286, 52385, 50439, 53689, 51110, 60985, 79295, 53808, 50897, 55910, 71149, 51113, 53153, 51301, 51192, 57929, 51110, 55291, 67300, 66660, 51088, 71208, 51273, 50882, 60985, 50866, 72446, 53689, 60091, 51113, 51175, 53458, 51090, 53499, 51215, 53808, 51111, 55910, 70096, 64355, 51107, 51685, 58438, 51675, 50422, 53828, 51896, 52298, 51591, 50426, 51992, 67300, 60085, 70658, 52235, 50805, 51273, 52512, 50852, 59137, 51992, 50952, 51931, 52320, 62603, 52527, 58464, 51971, 50805, 68093, 51518, 51216, 74752, 61359, 51357, 50880, 52430, 50887, 52039, 50840, 57065, 50836, 51544, 58322, 53129, 50836, 53808, 50840, 55297, 50836, 71325, 51113, 54459, 51273, 51761, 53129, 51124, 53808 ]

[ 0, 713, 765, 5175, 2214, 11, 230, 538, 1575, 10, 15352, 30054, 11739, 9, 21979, 8669, 6, 13305, 6, 8, 38668, 3038, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 8, 31391, 1672, 9590, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 6670, 10, 19448, 8, 5679, 26709, 5466, 6, 1969, 13, 3618, 6288, 4, 20, 33215, 16739, 9, 230, 119, 1176, 406, 6, 381, 406, 6, 230, 73, 717, 6, 274, 119, 1176, 406, 6, 8, 211, 119, 3639, 10, 2842, 9, 46336, 773, 7, 42, 32625, 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 ]

[ 56103, 52177, 58933, 51241, 50751, 50285, 65233, 64640, 51440, 50910, 51660, 50938, 55242, 50846, 57100, 62576, 63633, 58933, 51241, 50751, 50285, 57840, 51004, 50440, 51434, 50845, 55187, 57928, 77060, 51614, 50892, 57774, 57728, 51925, 54284, 51660, 50874, 51440, 50810, 57100, 50835, 55242, 60752, 51845, 73966, 58933, 50892, 51660, 51115, 51440, 51115, 50751, 50285, 50834, 57100, 50820, 55242, 57928, 50891, 51809, 56090, 51003, 50751, 50289, 60088, 55983, 51845, 51258, 50428, 51660, 51051, 51440, 50959, 57100, 50837, 55242, 61329, 59516, 56090, 51381, 50751, 50289, 58495, 51129, 50440, 51845, 65649, 51614, 51797, 51434, 50977, 57774, 50863, 55187, 57854, 51925, 55686, 51660, 50810, 51440, 50874, 57100, 50820, 55242, 67099, 51845, 73966, 51515, 51115, 56090, 51174, 51774, 51177, 56855, 50820, 50751, 50289, 50837, 58913, 60088, 50982, 51809, 51925, 58593, 57117, 51003, 50751, 50290, 54929, 51614, 50878, 51440, 50866, 57774, 50820, 55242, 57928, 65627, 51845, 58721, 57117, 51961, 50751, 50290, 56755, 51614, 50830, 51434, 51121, 57774, 50818, 55187, 57840, 51129, 50446, 51925, 55686, 51614, 50812, 51440, 50812, 57774, 50828, 55242, 61425, 51845, 73068, 51845, 68430, 54437, 51535, 51614, 53753, 51440, 53651, 77905, 50829, 57774, 50834, 55242, 50839, 51809, 51845, 65587, 51925, 65368, 51845, 60481, 59411, 56374, 50434, 54437, 51142, 77905, 75689, 66961, 50928, 50440, 54437, 51679, 58183, 77905, 57532, 55721, 50960, 54004, 50986, 51128, 50452, 51456, 71192, 64364, 50970, 63303, 54437, 51177, 51338, 50873, 66299, 59170, 77905, 63930, 60088, 59506, 64162, 51809, 51728, 51635, 53332, 62716, 51132, 51134, 50929, 50870, 51169, 50374, 55958, 61844, 50947, 51677, 50422, 57718, 50428, 51660, 50910, 51440, 50925, 57100, 50846, 55242, 56455, 55657, 63765, 65627, 51132, 54035, 52786, 63765, 50982, 50440, 51434, 50845, 51614, 51212, 55187, 50820, 57774, 54534, 53836, 67193, 56432, 51132, 51145, 50446, 51440, 50977, 51660, 50987, 55242, 50839, 57100, 53045, 74846, 69232, 55867, 54228, 50452, 51170, 66961, 54949, 67076, 51660, 51391, 51440, 51351, 51076, 50829, 57100, 50834, 55242, 52823, 68557, 56232, 51032, 51592, 51809, 51728, 51462, 53740, 77298, 51844, 51241, 50422, 50920, 74846, 65368, 51660, 50866, 51440, 50977, 57100, 50820, 55242, 56233, 55657, 79302, 52428, 50888, 63765, 55813, 51844, 51025, 50440, 51434, 50892, 51614, 51328, 55187, 50834, 57774, 55136, 53963, 74846, 64807, 51660, 51006, 51440, 50866, 51844, 51203, 51169, 50820, 57100, 50825, 55242, 53518, 58355, 67807, 50452, 51614, 50870, 69463, 57774, 56113, 53836, 67193, 72204, 51614, 51381, 51440, 51191, 51844, 50845, 51316, 50834, 50771, 50302, 52168, 57774, 50825, 55242, 52793, 67193, 56013, 51067, 55408, 51809, 51727, 51191, 52723, 50888, 74846, 58640, 50920, 50365, 51765, 64640, 51614, 50987, 51440, 50845, 57774, 50834, 55242, 54763, 53067, 63765, 63633, 51727, 57564, 52079, 67193, 50928, 50440, 51434, 50901, 51614, 50907, 51727, 51115, 55187, 50839, 57774, 56630, 53067, 67193, 60895, 51889, 57785, 51614, 50974, 51440, 50878, 57774, 50835, 55242, 62793, 78183, 50452, 52557, 51004, 72469, 58340, 53836, 67193, 61034, 51614, 52222, 51440, 52069, 51727, 51376, 57774, 50835, 55242, 52823, 74846, 56013, 51889, 50825, 51809, 51727, 51295, 51728, 50888, 73435, 70540, 50428, 51170, 71192, 54949, 65627, 51727, 50937, 51728, 50888, 68557, 58721, 51889, 59051, 66299, 58898, 50440, 51728, 51462, 53730, 66065, 51727, 75097, 51338, 51377, 51889, 58495, 53740, 58355, 51292, 50866, 50452, 51774, 51277, 51434, 50917, 58913, 50825, 55187, 55202, 53836, 50366, 51635, 67076, 51614, 51058, 51440, 51142, 51338, 50873, 51292, 50857, 59411, 53577, 57774, 50835, 55242, 58452, 55948, 51129, 50460, 51438, 51680, 51809, 51181, 51241, 51728, 50888, 50366, 51635, 58409, 70540, 50428, 51440, 50937, 51614, 50987, 55242, 50841, 57774, 56128, 55657, 63765, 63633, 51181, 51148, 52613, 50888, 67193, 50928, 50440, 51434, 50838, 51774, 51277, 55187, 50825, 58913, 54880, 53836, 74846, 60402, 51440, 50866, 51614, 51006, 55242, 50820, 57774, 53246, 60571, 51292, 50892, 50452, 51774, 51004, 58913, 58340, 55657, 68557, 61362, 51067, 65241, 51660, 51351, 51440, 51419, 51137, 51121, 57100, 50839, 55242, 51987, 68557, 56232, 51032, 51592, 51809, 52723, 51462, 54435, 77298, 51349, 51134, 50422, 51925, 53332, 75181, 51660, 50987, 51440, 50942, 57100, 50834, 55242, 56233, 55657, 64044, 51845, 51258, 50434, 51349, 50987, 52613, 50888, 67193, 76779, 51434, 50845, 51774, 51328, 51349, 51295, 55187, 50820, 58913, 55136, 53067, 74846, 59843, 66299, 53697, 50446, 51660, 50978, 51440, 50933, 57100, 50829, 55242, 53246, 58355, 51064, 50892, 50452, 51774, 50870, 58985, 58913, 56113, 55657, 68557, 72204, 52557, 52015, 51515, 51742, 51349, 51753, 51169, 50837, 72469, 50835, 56855, 53045, 67193, 56232, 50947, 50995, 51809, 52723, 50888, 74846, 57226, 51526, 51134, 50422, 51889, 54561, 58574, 51032, 50959, 50428, 51169, 60380, 55657, 68557, 66221, 50947, 51254, 50433, 50771, 50302, 60243, 50434, 51526, 50987, 52615, 50888, 67193, 55813, 50929, 51742, 50440, 51434, 50941, 51614, 50854, 55187, 50863, 57774, 53618, 68640, 58033, 53740, 66065, 51440, 50857, 51526, 51419, 55242, 57728, 51434, 50867, 55187, 52909, 63640, 52557, 50886, 51614, 51004, 72469, 50835, 57774, 51004, 50452, 51170, 53067, 68557, 63343, 51434, 52919, 51774, 51449, 51526, 50892, 55187, 50820, 58913, 52291, 50365, 51765, 59667, 50928, 51809, 51416, 51448, 51728, 50888, 67193, 61183, 51169, 56994, 74846, 54604, 50929, 51166, 50428, 51169, 60380, 50386, 51765, 58495, 54435, 64838, 50929, 51199, 50434, 52615, 50888, 68557, 50928, 52594, 51297, 50440, 52993, 50995, 66299, 55789, 50798, 52637, 50366, 51635, 56755, 50986, 56751, 51126, 50446, 51889, 53246, 58355, 50960, 53832, 55256, 50986, 79859, 51416, 50974, 50970, 68757, 68557, 50928, 53061, 54199, 50986, 67076, 51684, 50974, 51845, 53740, 60078, 50929, 53887, 50937, 50460, 59411, 52407, 61080, 71768, 50929, 52923, 52637, 67091, 58593, 51132, 51318, 51169, 71016, 66816, 61844, 50947, 51662, 50422, 70540, 50428, 51660, 50987, 51440, 50925, 57100, 50834, 55242, 56455, 66961, 53740, 64044, 51065, 53802, 78344, 52428, 50888, 68557, 55762, 51132, 50866, 50440, 51434, 50901, 51614, 50892, 55187, 50839, 57774, 54534, 55949, 59677, 53740, 66065, 51132, 51134, 50446, 51660, 50977, 51440, 50878, 57100, 50839, 55242, 55326, 60292, 53332, 51004, 50452, 50856, 55987, 55657, 68557, 50928, 53061, 50925, 50457, 66299, 53674, 50458, 51774, 50870, 51434, 50833, 51132, 50845, 51076, 50834, 58913, 50870, 55187, 57445, 53995, 67193, 56232, 51614, 51295, 51440, 51108, 51032, 52528, 57774, 50839, 55242, 50837, 51809, 51844, 51191, 51728, 51202, 58452, 53977, 73435, 50920, 50366, 51635, 70573, 51170, 55657, 68557, 64838, 51660, 50808, 51440, 51051, 57100, 50846, 55242, 57505, 54528, 50955, 58523, 55731, 59430, 54949, 58721, 51844, 54014, 50771, 50302, 52441, 50440, 51614, 50972, 51434, 51006, 57774, 50837, 55187, 54880, 53836, 50366, 51635, 61577, 51844, 51241, 50856, 56453, 51440, 50827, 51660, 50977, 51067, 50857, 55242, 50825, 57100, 54018, 51004, 50452, 51169, 57112, 56113, 55657, 68557, 61362, 50929, 57616, 78442, 51774, 51542, 51515, 51310, 51844 ]

[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 6711, 16, 10, 11739, 9, 25306, 6, 20425, 6, 1372, 6, 8, 2933, 4785, 4, 20, 1049, 33215, 16739, 10726, 9, 272, 406, 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, 0, 0, 0, 0, 0 ]

[ 57448, 50900, 64816, 52362, 50328, 50923, 55760, 50923, 51964, 50923, 50433, 50916, 55143, 56472, 56472, 50805, 50440, 75975, 75640, 80033, 50902, 51095, 50448, 75975, 75640, 80033, 50902, 51095, 52591, 50900, 51388, 50876, 51388, 51062, 51388, 55760, 51388, 51964, 51388, 50443, 75975, 75640, 80033, 50902, 51095, 50451, 72362, 50906, 51095, 80033, 50968, 51095, 50459, 72362, 50906, 51095, 80033, 50968, 51095, 50796, 50435, 50999, 51362, 51339, 51362, 50451, 51081, 51175, 51430, 51175, 53366, 51294, 51869, 51294, 50459, 50900, 51215, 50861, 51215, 50906, 51215, 51081, 51175, 51430, 51175, 53069, 51081, 50940, 51430, 50940, 55760, 51294, 51964, 51294, 50423, 72991, 51081, 54149, 78250, 51430, 72528, 72564, 65708, 72991, 51081, 54154, 50931, 51173, 50999, 51173, 52785, 51013, 51876, 51013, 50439, 50900, 57874, 58696, 65614, 51936, 50325, 78668, 64944, 78568, 52537, 51013, 51708, 51013, 50448, 62873, 64944, 50452, 64944, 50999, 72528, 51158, 50871, 51158, 50877, 51158, 50455, 62873, 64944, 50458, 50968, 51936, 50326, 50893, 53366, 51013, 51869, 51013, 51809, 50900, 79306, 51158, 50906, 51158, 50876, 51173, 50968, 51173, 50423, 50968, 51936, 50326, 50893, 55760, 51013, 51964, 51013, 50429, 50900, 72564, 57253, 75672, 50893, 50436, 50931, 51286, 50999, 51286, 52785, 51013, 51876, 51013, 77025, 57874, 58696, 65614, 52362, 50328, 50923, 50448, 50931, 51388, 51062, 51388, 52537, 51294, 51708, 51294, 50455, 50900, 51215, 50871, 51215, 50877, 51215, 50999, 51379, 51339, 51379, 51601, 51081, 51175, 51430, 51175, 53366, 51294, 51869, 51294, 78523, 72564, 51442, 50326, 51936, 50332, 66094, 78250, 51430, 50858, 55760, 51013, 51964, 64919, 72991, 51081, 66554, 78250, 51430, 72528, 79306, 51158, 50906, 51158, 50439, 72991, 51081, 75018, 50931, 51936, 50325, 50893, 52785, 51013, 51876, 51013, 50448, 50900, 51158, 50871, 51158, 50877, 51158, 50931, 51173, 50999, 51173, 50455, 64944, 78568, 52537, 51013, 51708, 51013, 50458, 62873, 64944, 50461, 64944, 50999, 72528, 57874, 58696, 50879, 51809, 62873, 50931, 54718, 51081, 51173, 51146, 51173, 53366, 51013, 51869, 51013, 53523, 72564, 57253, 75672, 55214, 51081, 51173, 51146, 51173, 55760, 51013, 51964, 51013, 50439, 50900, 72564, 57253, 75672, 78668, 50900, 57874, 58696, 57253, 52370, 50321, 50911, 52785, 50879, 51876, 50879, 50452, 50876, 51354, 50999, 51354, 55760, 51215, 51964, 51215, 50460, 51027, 65815, 63882, 70148, 51454, 50931, 51454, 52785, 51073, 51876, 51073, 56020, 50951, 51379, 50430, 50931, 51173, 51430, 51173, 53366, 51158, 51869, 51158, 50437, 50931, 51936, 50330, 50893, 54733, 50879, 52477, 50879, 50443, 51027, 50859, 50931, 51173, 51062, 51173, 52537, 51158, 51708, 65458, 50931, 51936, 50327, 50893, 52649, 50879, 52040, 55416, 50968, 51936, 50325, 50893, 51964, 50879, 51280, 50879, 55331, 51173, 50951, 51173, 52176, 51158, 51198, 51158, 50421, 50876, 75208, 50893, 52746, 50879, 51561, 50879, 76946, 51173, 50951, 51173, 52533, 51158, 51232, 51158, 50434, 50931, 51936, 50324, 50893, 51869, 50879, 51198, 50879, 50440, 50861, 60446, 65614, 51936, 50325, 50893, 67655, 51158, 50902, 51158, 50931, 51173, 51220, 51173, 50459, 50968, 51173, 50999, 51173, 51964, 51158, 51280, 51158, 52478, 50900, 56135, 57253, 67734, 51936, 50324, 50893, 50424, 50900, 56135, 57253, 67734, 75208, 50893, 50437, 50931, 51936, 50332, 50893, 53366, 50879, 51869, 50879, 50443, 50931, 51173, 51146, 51173, 54733, 51158, 52477, 65458, 50931, 51936, 50328, 50893, 52537, 50879, 51708, 55416, 50931, 51936, 50327, 50893, 52649, 50879, 52040, 50879, 57289, 51173, 50999, 51173, 51964, 51158, 51280, 51158, 50421, 50902, 75208, 50893, 52176, 50879, 51198, 50879, 76946, 51173, 50951, 51173, 52746, 51158, 51561, 51158, 65281, 75208, 50893, 52533, 50879, 51232, 50879, 50440, 50931, 51936, 50324, 50893, 51876, 51013, 51144, 51013, 64118, 51158, 50871, 51158, 50931, 51173, 50999, 51173, 50453, 50931, 52370, 50326, 50911, 51869, 51013, 51099, 51013, 50459, 50899, 79306, 51158, 50931, 51286, 51220, 51286, 52478, 50968, 52362, 50328, 50923, 51964, 50879, 51280, 50879, 50424, 50900, 50879, 51964, 50879, 78313, 51158, 51964, 51158, 50437, 50871, 58696, 57253, 52362, 50328, 50923, 50443, 50916, 79306, 51158, 50876, 51388, 50876, 51388, 55895, 50879, 51964, 55416, 50900, 50879, 51964, 50879, 54578, 51158, 50965, 51158, 50876, 51388, 51062, 51388, 50421, 50916, 56135, 57253, 64816, 50923, 77095, 51158, 51964, 51158, 69374, 50879, 51964, 50879, 50440, 50876, 52362, 50328, 50923, 50446, 50916, 51111, 72682, 50876, 51286, 50876, 51286, 50461, 75975, 75640, 50876, 51175, 50902, 51175, 79254, 72362, 50906, 51095, 50876, 51215, 50968, 51215, 55753, 50999, 51362, 51339, 51362, 50437, 51081, 51175, 51430, 51175, 53366, 51294, 51869, 51294, 50445, 50900, 51215, 50861, 51215, 50906, 51215, 51081, 51175, 51430, 51175, 50453, 51081, 50940, 51430, 50940, 55760, 51294, 51964, 51294, 50457, 72991, 51081, 66330, 78250, 51430, 72528, 72564, 50879, 51601, 72991, 51081, 74871, 50931, 51173, 50999, 51173, 52785, 51013, 51876, 51013, 50425, 50900, 57874, 58696, 65614, 51936, 50325, 50893, 50431, 64944, 78568, 52537, 51013, 51708, 51013, 50434, 62873, 50931, 54362, 64944, 50999, 72528, 57874, 58696, 73824, 62873, 50931, 54651, 50968, 51936, 50326, 50893, 53366, 51013, 51869, 51013, 55895, 79306, 51158, 50906, 51158, 50876, 51173, 50968, 51173, 50457, 50968, 51936, 50326, 50893, 55760, 51013, 51964, 51013, 51601, 50900, 79306, 51158, 50906, 51158, 50876, 51173, 50968, 51173, 50422, 50931, 52370, 50325, 50911, 52785, 51013, 51876, 51013, 50428, 50900, 57874, 58696, 65614, 52362, 50328, 50923, 50434, 50931, 51388, 51062, 51388, 52537, 51294, 51708, 51294, 50441, 50900, 51215, 50871, 51215, 50877, 51215, 50999, 51379, 51339, 51379, 50449, 51081, 51175, 51430, 51175, 53366, 51294, 51869, 51294, 50457, 50900, 72564, 51442, 50326, 51936, 50332, 50893, 51601, 78250, 51430, 50858, 55760, 51013, 51964, 51013, 50418, 72991, 51081, 66553, 78250, 51430, 72528, 72564, 50879, 50425, 72991, 78250, 50428, 50931, 51936, 50325, 50893, 52785, 51013, 51876, 51013, 69374, 51158, 50871, 51158, 50877, 51158, 50931, 51173, 50999, 51173, 50441, 64944, 78568, 52537, 51013, 51708, 62682, 62873, 50931, 56325, 64944, 50999, 72528, 51158, 50871, 51158, 50877, 65458, 62873, 64944, 50454, 51081, 51936, 50330, 50893, 53366, 51013, 51869, 51013, 50460, 50900, 72564, 57253, 75672, 50893, 52478, 51081, 51173, 51146, 51173, 55760, 51013, 51964, 51013, 50425, 50900, 72564, 57253, 75672, 65782, 50999, 77604, 52545, 50333, 50948, 50452, 50951, 51710, 50326, 52545, 50332, 50948, 50458, 50931, 51710, 50325, 52545, 50330, 50948, 51601, 50968, 77152, 52545, 50328, 62229, 51028, 77152, 52545, 50326, 58292, 50902, 76028, 52545, 50325, 50948, 50431, 51040, 59820, 51710, 50320, 52545, 50323, 50948, 53646, 50924, 50436, 50899, 64608, 64469, 52545, 50321, 50948, 52176, 50924, 50442, 51086, 60757, 62124, 52545, 50318, 50948, 52649, 50924, 78631, 73022, 57704, 71949, 50948, 51964, 50924, 50452, 50906, 52545, 50318, 50948, 50458, 50900, 73022, 57704, 71949, 50948, 51964, 50924, 51601, 50906, 52545, 50318, 50948, 53502, 60757, 64608, 71949, 50948, 52785, 50924, 51876, 50924, 53645, 64608, 52545, 50321, 50948, 50431 ]

[ 0, 250, 182, 1769, 12, 20764, 8, 20425, 15855, 5175, 2125, 6, 4246, 10, 13305, 816, 34879, 11, 5, 762, 9, 274, 10431, 538, 4, 590, 10, 86, 6543, 9, 132, 73, 306, 6, 42, 765, 2214, 29769, 198, 5, 40286, 230, 10431, 8, 274, 10431, 6, 2351, 10, 11739, 9, 2933, 8, 1372, 6711, 29, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 51057, 50638, 51057, 51787, 50908, 51787, 50908, 51040, 51162, 51040, 51162, 51847, 51162, 54513, 65926, 51114, 50863, 51114, 50863, 52070, 53405, 51114, 75199, 50867, 52070, 60999, 51114, 75162, 50813, 52070, 60567, 51787, 50820, 51787, 50820, 54513, 52639, 72535, 72535, 50968, 51025, 50968, 51025, 50989, 51109, 50989, 51109, 51489, 51025, 51494, 51109, 51308, 51025, 50428, 51114, 75199, 50867, 52070, 62627, 51114, 50825, 51114, 50825, 52070, 56446, 51114, 75162, 50813, 52070, 58572, 51378, 50812, 51378, 50812, 53483, 50812, 51057, 51787, 51604, 50334, 50864, 54513, 59834, 51114, 75162, 50813, 52070, 63315, 63009, 63009, 51275, 54351, 51114, 50825, 51114, 76875, 68897, 50822, 66768, 66768, 51494, 50822, 51308, 50822, 52070, 55983, 51114, 51581, 50322, 50836, 52070, 53425, 51787, 50825, 51787, 65534, 68877, 50836, 54513, 50825, 51232, 56865, 51114, 75199, 50867, 52070, 53860, 50989, 63270, 61752, 61339, 71120, 68840, 79113, 75199, 50867, 51308, 50862, 51777, 50855, 52070, 50867, 51494, 59992, 51114, 75162, 50813, 52070, 58572, 51787, 50825, 51787, 50825, 54513, 50825, 51057, 51086, 51800, 50303, 50914, 52040, 50914, 50417, 51114, 75199, 50867, 52070, 55105, 51114, 75967, 50837, 52070, 59136, 51114, 75162, 50813, 52070, 52524, 51787, 50825, 51787, 76875, 51203, 50989, 51203, 50973, 51412, 50973, 51412, 50902, 51221, 50902, 51221, 51494, 51203, 51429, 51412, 51275, 51221, 54513, 54974, 51114, 75199, 50867, 52070, 53860, 51114, 50829, 51114, 50829, 52070, 54288, 51114, 75162, 50813, 52070, 50813, 51057, 51787, 50825, 51787, 50825, 51378, 50810, 51378, 50810, 54513, 50825, 53483, 56624, 51114, 75199, 50867, 52070, 55105, 51114, 50863, 51114, 50863, 50899, 62963, 63270, 65037, 68218, 66030, 50813, 51494, 50857, 51777, 50813, 51198, 50867, 52070, 53991, 51114, 75162, 50813, 52070, 52524, 51787, 50870, 51787, 50870, 51086, 50813, 51086, 50813, 52040, 50813, 54513, 57265, 51114, 75162, 50813, 52070, 52810, 50899, 63279, 50825, 51114, 50825, 51114, 76875, 65037, 62448, 64005, 50867, 51494, 50857, 51429, 50867, 51198, 50825, 52070, 53439, 51114, 75162, 50813, 52070, 50813, 51057, 51787, 50825, 51787, 78751, 50897, 51040, 50897, 54513, 50825, 51847, 50897, 50416, 51114, 75162, 50813, 52070, 53299, 51114, 50825, 51114, 50825, 52070, 55983, 51114, 51581, 50322, 50836, 52070, 53425, 51787, 50825, 51787, 50825, 50968, 51400, 50968, 51400, 50989, 51253, 50989, 51253, 70338, 70338, 54513, 50825, 51308, 51109, 51489, 51400, 51494, 51253, 50428, 51114, 75199, 50867, 52070, 53860, 51114, 50825, 51114, 50825, 52070, 56446, 51114, 51581, 50322, 50836, 52070, 50836, 51057, 51787, 50825, 51787, 50825, 51378, 50813, 51378, 50813, 53483, 50813, 54513, 65533, 51114, 75199, 50867, 52070, 68162, 50989, 65037, 60334, 61752, 61666, 59086, 50857, 51494, 50857, 51308, 50867, 51275, 54657, 51114, 50829, 51114, 50829, 52070, 56856, 51114, 75162, 50813, 52070, 60567, 50916, 68677, 50813, 51232, 52524, 51787, 50870, 51787, 50870, 54513, 70573, 51114, 75162, 50813, 52070, 59833, 50989, 71414, 66030, 65301, 50867, 51777, 50867, 51494, 52810, 51114, 50829, 51114, 69074, 62823, 50904, 51308, 50904, 52070, 56516, 51114, 51581, 50322, 50836, 52070, 59693, 51086, 51581, 50303, 50836, 52040, 50836, 51057, 51787, 50825, 51787, 50825, 54513, 56127, 51114, 50820, 51114, 50820, 52070, 52761, 51114, 50829, 51114, 50829, 52070, 56856, 51114, 51581, 50322, 50836, 52070, 61057, 50989, 51337, 50989, 51337, 50973, 51337, 50973, 51337, 50902, 51233, 50902, 51233, 51275, 51233, 51429, 51337, 51494, 51337, 50426, 51787, 50825, 51787, 50825, 54513, 64640, 51114, 75162, 50813, 52070, 52810, 51114, 50825, 51114, 50825, 52070, 56446, 51114, 51581, 50322, 50836, 52070, 50836, 51057, 51787, 50825, 51787, 50825, 51378, 50813, 51378, 50813, 53483, 50813, 54513, 56127, 51114, 75162, 50813, 52070, 53299, 51114, 50825, 51114, 63279, 62963, 63270, 71414, 66030, 71120, 50862, 52070, 50825, 51494, 50813, 51198, 50867, 51777, 60171, 51114, 51581, 50322, 50836, 52070, 53425, 51787, 50870, 51787, 50870, 51086, 51609, 50303, 50867, 52040, 50867, 54513, 70573, 51114, 51581, 50322, 50836, 52070, 53695, 50899, 74156, 75967, 50863, 51114, 50863, 50989, 74463, 66499, 66272, 50813, 51494, 50862, 51429, 50813, 52070, 50863, 51198, 58039, 51114, 75162, 50813, 52070, 50813, 51057, 51787, 51604, 50334, 78277, 50897, 51040, 50897, 51847, 50897, 54513, 59834, 51114, 75162, 50813, 52070, 53299, 51787, 50982, 51787, 50982, 54513, 58362, 51787, 51604, 50334, 50864, 54513, 53272, 56193, 51604, 50346, 67572, 50933, 50989, 50933, 67695, 67695, 50968, 50955, 50968, 50955, 51489, 50955, 51494, 50933, 51308, 50933, 70675, 63444, 51787, 52386, 50334, 50971, 54513, 55487, 51787, 50870, 51787, 50870, 54513, 54950, 51114, 52236, 50322, 50880, 52070, 50880, 51057, 51378, 51581, 50298, 51581, 50334, 51604, 50334, 50864, 54513, 50864, 53483, 58160, 51114, 51581, 50322, 50836, 52070, 54402, 51114, 50820, 51114, 50820, 52070, 53744, 51114, 51581, 50322, 50836, 52070, 53425, 51787, 50825, 51787, 76875, 63270, 61752, 50822, 66768, 66642, 66642, 71008, 51494, 50867, 51308, 50822, 54513, 54974, 51114, 75162, 50813, 52070, 52810, 51114, 50825, 51114, 50825, 52070, 53439, 51114, 51581, 50322, 50836, 52070, 50836, 51057, 51787, 50820, 51787, 50820, 51086, 50810, 51086, 50810, 52040, 50810, 54513, 55138, 51114, 51581, 50322, 50836, 52070, 54402, 51787, 51004, 51787, 51004, 54513, 58574, 51787, 51604, 50334, 50864, 54513, 53272, 50989, 63270, 64005, 62448, 61162, 61162, 51537, 50346, 51604, 50346, 50864, 70675, 50864, 51429, 50857, 51639, 50857, 51494, 58594, 51787, 50825, 51787, 50825, 54513, 53031, 51787, 50870, 51787, 50870, 54513, 54950, 51114, 50828, 51114, 50828, 52070, 50828, 51057, 51787, 51604, 50334, 51604, 50298, 50821, 51378, 50821, 53483, 50821, 54513, 59834, 51114, 75162, 50813, 52070, 53299, 51114, 75967, 50837, 52070, 53899, 51114, 75162, 50813, 52070, 60567, 50973, 66272, 66967, 67117, 50867, 51429, 50813, 51639, 53803, 51787, 50825, 51787, 76875, 67572, 50864, 51494, 50864, 54513, 54974, 51114, 75162, 50813, 52070, 52810, 51114, 50825, 51114, 50825, 52070, 53439, 51114, 75162, 50813, 52070, 50813, 51057, 51040, 50813, 51040, 50813, 51787, 52386, 50334, 50971, 51847, 50813, 54513, 66981, 51114, 51581, 50322, 50836, 52070, 54402, 51787, 50870, 51787, 50870, 50989, 65037, 60334, 60334, 61665, 66408, 50864, 51494, 50857, 51308, 50857, 51489, 50864, 54513, 54604, 51787, 51604, 50334, 50864, 54513, 60417, 51378, 51609, 50298, 50867, 53483, 53803, 56193, 51604, 50346, 50864, 70675, 63444, 51787, 50825, 51787, 50825, 54513, 59277, 50968, 67886, 51764, 50334, 51604, 50334, 50864, 54513, 50864, 51489, 54860, 50989, 76875, 66548, 62378, 50864, 51494, 50825, 51308, 59816, 51114, 50820, 51114, 50820, 52070, 56305, 51040, 50813, 51040, 50813, 51847, 50813, 51057, 51787, 50813, 51787, 50813, 54513, 70624, 51114, 75162, 50813, 52070, 53299, 50989, 50863, 50989, 50863, 51114, 75967, 68520, 62823, 65567, 73210, 50941, 51494, 50863, 51308, 50904, 51489, 50941, 52070, 53899, 51114, 75162, 50813, 52070, 60567, 51378, 50810, 51378, 50810, 53483, 52654, 51787, 51604, 50334, 50864, 54513, 56789, 51114, 75162, 50813, 52070, 52810, 51114, 75967, 78107 ]

[ 0, 250, 15352, 30054, 3495, 2214, 4246, 13305, 6, 1515, 21305, 6, 21979, 8, 81, 9756, 29589, 6, 8, 21072, 6, 2351, 10, 1372, 8, 19448, 5466, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 230, 8, 272, 406, 3639, 10, 2842, 9, 25342, 7, 42, 5679, 26709, 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 ]

[ 57333, 50450, 51553, 58615, 51224, 52163, 51289, 50976, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 52338, 51413, 51996, 51413, 57849, 50812, 72162, 51497, 57513, 74204, 50817, 51164, 51670, 51331, 50898, 51833, 50373, 52054, 58297, 56065, 58392, 62925, 59482, 50811, 51164, 51156, 53004, 53151, 50812, 51164, 58715, 62925, 59482, 51156, 52801, 51132, 59237, 50803, 58336, 56245, 56065, 50812, 51164, 58715, 62925, 59080, 51670, 51052, 52580, 51836, 50914, 50885, 74204, 50811, 51164, 55311, 51812, 55886, 60066, 50773, 50345, 51072, 51532, 50827, 51974, 52010, 51556, 52788, 50773, 50297, 57044, 67612, 51572, 53086, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 52338, 50812, 53064, 50812, 53151, 50812, 61603, 51404, 56471, 56781, 56225, 50860, 51332, 54482, 57555, 55267, 55373, 53883, 51420, 52989, 56065, 51420, 53532, 51727, 50993, 50997, 61572, 56798, 50802, 51234, 50993, 54277, 50812, 52665, 50812, 53883, 50812, 51583, 50802, 51188, 50823, 52021, 50993, 51037, 63690, 71305, 53236, 51812, 50802, 51287, 52054, 61828, 53151, 51420, 63295, 50827, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 52338, 51103, 51996, 51103, 57849, 50812, 51347, 51059, 51497, 51059, 50885, 62925, 59482, 51670, 51331, 58197, 51164, 55265, 56065, 58392, 58217, 59482, 50817, 51164, 50898, 53004, 53151, 58392, 62925, 59482, 50817, 51164, 51156, 52801, 51132, 59237, 50803, 58336, 56245, 56065, 58392, 58217, 59482, 50811, 51164, 51670, 51052, 52580, 51836, 50914, 60030, 57386, 57263, 51164, 57044, 51812, 55886, 64261, 64755, 50773, 50345, 50824, 51974, 67612, 51556, 62551, 50773, 50297, 51029, 51450, 52010, 50441, 53064, 52808, 53086, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 52338, 50812, 53151, 50812, 61603, 70450, 51332, 50975, 50885, 66306, 67506, 52466, 51779, 51331, 55267, 50802, 51618, 52989, 53883, 63490, 53532, 51727, 50993, 50997, 61572, 56798, 50802, 51234, 50993, 54277, 50812, 52665, 50812, 51583, 50802, 51188, 50823, 52021, 50975, 51037, 63469, 50803, 50872, 51520, 65272, 50373, 52054, 50993, 51453, 63295, 50827, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 52338, 51103, 51996, 51103, 57849, 50812, 51347, 51029, 51497, 51029, 51164, 63358, 74204, 52220, 51331, 54024, 56065, 50812, 51164, 63358, 58217, 59482, 50898, 53004, 53151, 50812, 51164, 58715, 62925, 59482, 50898, 52801, 51132, 59237, 50803, 58336, 56245, 56065, 50812, 51164, 58715, 62925, 59482, 52220, 51052, 52580, 51836, 50914, 51164, 57513, 50803, 57386, 50850, 51520, 57555, 53300, 50773, 50345, 56168, 50827, 51974, 52010, 51556, 50827, 51450, 52010, 50439, 50773, 50297, 51029, 51572, 53086, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 52338, 50812, 53064, 50812, 53151, 50812, 51347, 50860, 51404, 50860, 51332, 50976, 50885, 62711, 56225, 53236, 57555, 55267, 55373, 53883, 51420, 52989, 56065, 51420, 62103, 52021, 51066, 50453, 50997, 61572, 56798, 50802, 51234, 50993, 54277, 50812, 52665, 50812, 53883, 50812, 51583, 50860, 51188, 50823, 51037, 79245, 51670, 58163, 50373, 52054, 61828, 51727, 50802, 53151, 51420, 63295, 50827, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 52338, 51103, 51996, 51103, 57849, 50812, 51347, 51029, 51497, 51029, 51164, 63358, 74204, 51670, 52010, 50417, 56065, 50812, 51164, 63358, 62925, 59080, 51156, 53004, 53151, 50812, 51164, 63358, 62925, 59482, 50898, 58026, 51164, 54381, 51132, 56798, 50803, 58336, 56245, 56065, 58392, 74204, 51670, 51052, 63074, 51164, 54107, 51836, 50914, 50885, 55868, 61182, 51599, 70818, 50429, 50773, 50345, 56168, 50827, 51974, 51779, 53497, 51420, 50803, 52594, 51420, 50827, 51450, 51779, 51420, 53609, 50773, 50297, 55115, 53086, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 52338, 50812, 53064, 50812, 53151, 50812, 51347, 50823, 51404, 50823, 51332, 50975, 50885, 66306, 67506, 52466, 51779, 53497, 51052, 55267, 50802, 51618, 52989, 53883, 69652, 51420, 62103, 52021, 71935, 51727, 50993, 50997, 61572, 56798, 50802, 51234, 50993, 54277, 50812, 52665, 50812, 51583, 50823, 65347, 51037, 59299, 50803, 50872, 51520, 58163, 50373, 52054, 50824, 51453, 63295, 50827, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 52338, 52149, 51996, 52149, 51836, 51191, 53151, 51191, 57849, 50812, 57849, 51189, 51347, 51059, 51497, 51059, 51164, 63358, 74204, 51670, 51331, 54024, 51164, 58715, 74204, 51156, 73616, 51164, 53213, 50885, 74204, 50898, 58026, 51164, 54381, 51132, 59237, 50803, 58336, 56245, 50885, 58217, 59482, 51670, 51052, 63074, 51164, 54107, 50885, 50976, 50872, 50976, 79491, 50773, 50345, 52299, 70818, 51532, 50827, 51974, 52010, 51556, 62551, 50773, 50297, 51029, 51450, 52010, 51572, 53086, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 54012, 50812, 53883, 50812, 58047, 50812, 51347, 50860, 51404, 50860, 51332, 50993, 50885, 66306, 67506, 51779, 51331, 55267, 55373, 56065, 51420, 52989, 58047, 52972, 52010, 50453, 51727, 50993, 50997, 61572, 56798, 50802, 51234, 50993, 53151, 50812, 56065, 50849, 51583, 50823, 65347, 52021, 50993, 51037, 59299, 50803, 50872, 58163, 50373, 52054, 61828, 58047, 51420, 63295, 50827, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 51836, 51189, 53151, 51189, 53151, 51189, 51347, 51059, 51497, 51059, 51164, 63358, 74204, 51670, 52010, 50416, 51164, 55265, 50885, 74204, 51156, 73616, 51164, 52302, 50885, 74204, 51156, 58026, 51164, 53578, 51132, 59237, 50803, 58336, 56245, 50885, 74204, 51670, 51052, 63074, 51164, 54107, 50885, 77514, 51599, 70818, 50428, 50773, 50345, 51059, 51532, 50827, 51974, 52010, 51556, 50827, 51450, 52010, 50440, 50773, 50297, 51029, 51572, 53086, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 54012, 50812, 53151, 50812, 53883, 50812, 51347, 50860, 51404, 50860, 51332, 50993, 50885, 62711, 65837, 52466, 58163, 55267, 50802, 51618, 52989, 53883, 51420, 53532, 51727, 71863, 61572, 56798, 50802, 51234, 50993, 53151, 50812, 56065, 50812, 51583, 50860, 51188, 50823, 52021, 50993, 51037, 63690, 74865, 52466, 58163, 50373, 52054, 61828, 56065, 51420, 63295, 50827, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 51836, 51191, 53151, 51191, 57849, 51189, 51347, 51300, 51497, 51300, 51164, 63358, 74204, 52220, 52010, 50416, 51164, 55804, 50885, 74204, 50898, 73616, 51164, 53213, 50885, 62925, 59482, 51156, 58026, 51164, 54381, 51132, 59237, 50803, 58336, 56245, 50885, 74204, 51670, 51052, 63074, 51164, 51072, 59812, 74865, 63106, 52466, 70818, 50428, 50773, 50345, 51029, 50429, 52541, 51420, 50827, 51974, 52010, 51556, 50827, 51450, 52010, 50440, 50773, 50297, 51029, 51572, 75396, 51332, 63523, 51338, 50993, 50900, 60973, 56893, 79153, 50993, 54012, 50812, 53883, 50812, 58047, 50812, 51347, 50860, 51404, 66212, 62711, 65837, 53236, 58163, 55267, 55373, 56065, 51420, 52989, 58047, 51420, 53532, 51727, 50993, 50997, 61572, 56798, 50802, 51234, 50993, 53151, 50812, 56065, 50812, 51583, 50823, 65347, 51037, 63469, 50803, 57386, 52021, 54482, 58163, 50373, 52054, 61828, 53883, 51420, 63295, 61243, 51164, 50811, 52894, 56798, 50993, 80034, 50876, 50993, 51050, 51009, 51836, 51189, 53151, 51189, 53151, 51189, 51347, 51009, 51497, 51009, 50885, 74204, 52220, 52010, 50416, 51164, 55804, 50885, 62925, 59482, 51156, 53004 ]

[ 0, 713, 5175, 2214, 22750, 1626, 11098, 149, 63, 20425, 34879, 6, 19, 41, 223, 28311, 9, 15073, 1271, 5581, 7, 63, 2048, 4, 10326, 3459, 8669, 8, 38668, 483, 185, 1312, 1289, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 6, 3459, 9590, 6, 8, 5, 2216, 15679, 7805, 9, 5951, 14744, 4, 8504, 11, 5, 762, 9, 274, 538, 8, 6780, 10, 7212, 20889, 6, 5, 2125, 30853, 11, 10, 204, 73, 306, 86, 6543, 6, 10346, 30, 10, 33215, 16739, 4246, 272, 406, 6, 211, 119, 6, 274, 119, 1176, 406, 6, 8, 211, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 50791, 50980, 51544, 50980, 51570, 50980, 52320, 50980, 51755, 50806, 51341, 80128, 50806, 51193, 52774, 68180, 51185, 50821, 51530, 54007, 50801, 50806, 51341, 51160, 51020, 51160, 51193, 51160, 53782, 50806, 51193, 50806, 51185, 50806, 51530, 52322, 68180, 51185, 50821, 51530, 56050, 51341, 50821, 67173, 51193, 53247, 51193, 50806, 51185, 50806, 51530, 52610, 51341, 80128, 50806, 51193, 52931, 51193, 50806, 51185, 50806, 51530, 50806, 51755, 50806, 51495, 50806, 51061, 50806, 51281, 52774, 68180, 51185, 50821, 51530, 54007, 50801, 50806, 51495, 51160, 51061, 51160, 51281, 69055, 51193, 50806, 51185, 50806, 51530, 52322, 68180, 51185, 50821, 51530, 56050, 51118, 50821, 51089, 80023, 53247, 51193, 50806, 51185, 50806, 51530, 52610, 51118, 50806, 51089, 80128, 52931, 51193, 50806, 51185, 50806, 51530, 50806, 51755, 80128, 50806, 51208, 50806, 51185, 52774, 68180, 51185, 50821, 51530, 54007, 50801, 80128, 51160, 51208, 51160, 51185, 69055, 51193, 50806, 51185, 50806, 51530, 52322, 68180, 51185, 50821, 51530, 56050, 51268, 50821, 68180, 51385, 53247, 51193, 50806, 51185, 50806, 51530, 52610, 51268, 50806, 51193, 50806, 51385, 52931, 51193, 50806, 51185, 50806, 51530, 50806, 51755, 50806, 51061, 50806, 51023, 50806, 51092, 52774, 68180, 51185, 50821, 51530, 54007, 50801, 50806, 61012, 51023, 50821, 51092, 52422, 51089, 80128, 50806, 51208, 52309, 68180, 51185, 50821, 51530, 53660, 61012, 51023, 50821, 51092, 52877, 51118, 50806, 51089, 80128, 52692, 68180, 51185, 50821, 51530, 54787, 51118, 50806, 51089, 80128, 59908, 68180, 51185, 50821, 51530, 52935, 51118, 50821, 51089, 80023, 54863, 68180, 51185, 50821, 51530, 50821, 51755, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52657, 50806, 52117, 52774, 50801, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52117, 50806, 51768, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 52309, 50764, 50317, 51160, 68180, 51185, 50821, 51530, 50821, 52412, 53660, 50801, 70785, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52117, 57419, 50903, 50821, 50764, 50317, 50821, 51092, 50806, 51403, 50806, 51810, 50806, 52117, 52692, 50801, 50806, 50764, 50317, 54787, 50764, 50317, 50821, 69132, 51403, 50821, 51810, 50821, 52117, 50821, 51955, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 52931, 50801, 50821, 50764, 50317, 50806, 68180, 51185, 50821, 51530, 50821, 52412, 54863, 50903, 50821, 68180, 51185, 50821, 51530, 50821, 52412, 50821, 51755, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52657, 50806, 52117, 52774, 50801, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52117, 50806, 51768, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 52309, 50764, 50317, 51160, 68180, 51185, 50821, 51530, 50821, 52412, 53660, 50801, 70785, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52117, 57419, 50903, 50821, 50764, 50317, 50821, 51092, 50806, 51403, 50806, 51810, 50806, 52117, 52692, 50801, 50806, 50764, 50317, 54787, 50764, 50317, 50821, 69132, 51403, 50821, 51810, 50821, 52117, 50821, 51955, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 52931, 50801, 50821, 50764, 50317, 50806, 68180, 51185, 50821, 51530, 50821, 52412, 56277, 50903, 50821, 68180, 51185, 50821, 51530, 50821, 51755, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 50806, 52479, 52774, 50801, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 50806, 51768, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52408, 52309, 50764, 50317, 51160, 69132, 51403, 50821, 51810, 50821, 52276, 53660, 50801, 70785, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 57419, 50903, 50821, 50764, 50317, 50821, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 52692, 50801, 50806, 50764, 50317, 54787, 50764, 50317, 50821, 68180, 51185, 50821, 51530, 50821, 52479, 50821, 51955, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52408, 52931, 50801, 50821, 50764, 50317, 50806, 69132, 51403, 50821, 51810, 50821, 52276, 56277, 50903, 50821, 69132, 51403, 50821, 51810, 50821, 51755, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 50806, 52479, 52774, 50801, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52479, 50806, 51768, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 50806, 52408, 52309, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52276, 53660, 50903, 50806, 52479, 74532, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 52692, 68180, 51185, 50821, 51530, 54787, 51092, 50806, 51403, 50806, 51810, 59908, 51092, 50806, 51403, 50806, 51810, 56277, 69132, 51403, 50821, 51810, 50821, 50799, 51092, 50806, 51403, 50806, 51810, 50806, 52657, 52774, 51092, 50806, 51403, 50806, 51810, 52247, 51193, 50806, 51185, 50806, 51530, 52309, 68180, 51185, 50821, 51530, 53660, 51092, 50806, 51403, 50806, 51810, 57419, 51092, 50806, 51403, 50806, 51810, 55967, 69132, 51403, 50821, 51810, 50821, 51955, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 52931, 50801, 50821, 50764, 50317, 50806, 68180, 51185, 50821, 51530, 54863, 50903, 50821, 68180, 51185, 50821, 51530, 50821, 51755, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52657, 52774, 51092, 50806, 51403, 50806, 51810, 52247, 51193, 50806, 51185, 50806, 51530, 52309, 68180, 51185, 50821, 51530, 53660, 51092, 50806, 51403, 50806, 51810, 57419, 51092, 50806, 51403, 50806, 51810, 55967, 69132, 51403, 50821, 51810, 50821, 51955, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 52931, 50801, 50821, 50764, 50317, 50806, 68180, 51185, 50821, 51530, 54863, 50903, 50821, 68180, 51185, 50821, 51530, 50821, 51755, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 52774, 51193, 50806, 51185, 50806, 51530, 52247, 51092, 50806, 51403, 50806, 51810, 52309, 69132, 51403, 50821, 51810, 53660, 51193, 50806, 51185, 50806, 51530, 57419, 51193, 50806, 51185, 50806, 51530, 55967, 68180, 51185, 50821, 51530, 50821, 51955, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 52931, 50801, 50821, 50764, 50317, 50806, 69132, 51403, 50821, 51810, 54863, 50903, 50821, 69132, 51403, 50821, 51810, 50821, 51755, 50806, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 52774, 51193, 50806, 51185, 50806, 51530, 52247, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 52309, 51193, 50806, 51185, 50806, 51530, 52322, 51193, 50806, 51185, 50806, 51530, 50806, 52018, 52692, 68180, 51185, 50821, 51530, 54787, 51092, 50806, 51403, 50806, 51810, 59908, 51092, 50806, 51403, 50806, 51810, 56277, 69132, 51403, 50821, 51810, 50821, 51755, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 52657, 52774, 50801, 50806, 50764, 50317, 50806, 51092, 50806, 51403, 50806, 51810, 50806, 51768, 50806, 50764, 50317, 50806, 51193, 50806, 51185, 50806, 51530, 52309, 50764, 50317, 51160, 68180, 51185, 50821, 51530, 53660, 50801, 70785, 50806, 51092, 50806, 51403, 50806, 51810, 57419, 50903, 50821, 50764, 50317, 50821, 51092, 50806, 51403, 50806, 51810, 52692 ]

[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 15352, 30054, 6755, 12547, 6, 2382, 3459, 8669, 6, 8, 38668, 9590, 4, 20, 2125, 16, 11, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 8572, 741, 1685, 4, 20, 1049, 33215, 16739, 1575, 381, 6, 83, 6, 8, 211, 40286, 6, 2351, 10, 3366, 219, 5466, 19, 12405, 2933, 223, 34693, 6, 3284, 7630, 14805, 10, 1472, 9, 10563, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50461, 53541, 51293, 51881, 51313, 51615, 51293, 51838, 51145, 52308, 50275, 51158, 51083, 50918, 51020, 51551, 52162, 50857, 57786, 56206, 50935, 53097, 51139, 57900, 52275, 58593, 51707, 56705, 50912, 62974, 66939, 51983, 50420, 51707, 50857, 52554, 50857, 57578, 62105, 50935, 55475, 51949, 53899, 51707, 50904, 52554, 50867, 62974, 66850, 50848, 59029, 52497, 53356, 52660, 50967, 52162, 50886, 57884, 75035, 50847, 54384, 51467, 51909, 55028, 51707, 50886, 52554, 57823, 50851, 62974, 50848, 51000, 70199, 51707, 50867, 52554, 50857, 62105, 57578, 50935, 56558, 52132, 54950, 52162, 50867, 62080, 66850, 50848, 61315, 52497, 66643, 52137, 65680, 55252, 51048, 51020, 51189, 51208, 51496, 51707, 50886, 52554, 50886, 57786, 55806, 50935, 53933, 51139, 51909, 55788, 51707, 50867, 52554, 50867, 62974, 61950, 66939, 70407, 52162, 50857, 58440, 56538, 50935, 56558, 51792, 54673, 51707, 50857, 52554, 50867, 60331, 58876, 50848, 51000, 57706, 53421, 54471, 51048, 51707, 50857, 52554, 50857, 57884, 56206, 50935, 55742, 51406, 51877, 56782, 52162, 73825, 51126, 62974, 61950, 51983, 50456, 51595, 50978, 72697, 51707, 50867, 52554, 50867, 57578, 58440, 50935, 56558, 52132, 54600, 52162, 62626, 50971, 62974, 58876, 57706, 61969, 53389, 51293, 51881, 51293, 51656, 51313, 52137, 50981, 61163, 51060, 51595, 50914, 51020, 51090, 53154, 50886, 51997, 50857, 57884, 61910, 50850, 54312, 51139, 51909, 58593, 52162, 50857, 56955, 69870, 50848, 51000, 51960, 50420, 53154, 57408, 50874, 58440, 50850, 54791, 51792, 53899, 53154, 50857, 51997, 50867, 69870, 56955, 50848, 51000, 57706, 67726, 52430, 51662, 50426, 52887, 51158, 51282, 51145, 51268, 51356, 52162, 50886, 55315, 66523, 50850, 55459, 51187, 51909, 56609, 53154, 50813, 51997, 50867, 56555, 61268, 66939, 74270, 53154, 50867, 51997, 50857, 58440, 59645, 50850, 54791, 51792, 54483, 52162, 50857, 55878, 69870, 50848, 51000, 57706, 54114, 52660, 51158, 53154, 50857, 51997, 50813, 57786, 50850, 68015, 54436, 70005, 55788, 52162, 50867, 56555, 69870, 50848, 51000, 52008, 50444, 53154, 50867, 60577, 59645, 50850, 55475, 51792, 54673, 53154, 50813, 51997, 50813, 56555, 68101, 50848, 51126, 60227, 53430, 53054, 50948, 51282, 50937, 51495, 50936, 52162, 50857, 55315, 59358, 50850, 53825, 51406, 51909, 55351, 53154, 50867, 51997, 65762, 50907, 50848, 51126, 55878, 52008, 50456, 54471, 50865, 51595, 50974, 75839, 52162, 50857, 60577, 66189, 50850, 55475, 51949, 54600, 53154, 50857, 51997, 50867, 56555, 61268, 50848, 51000, 60227, 60323, 53389, 51293, 53100, 51313, 74622, 52225, 51145, 64197, 51158, 51495, 51115, 51089, 51343, 54136, 50813, 58570, 69950, 50850, 53097, 51041, 52275, 58593, 52181, 50813, 55878, 63040, 51017, 51000, 51960, 50420, 52181, 50857, 51997, 50813, 70995, 56640, 50850, 55475, 51949, 53899, 52181, 50904, 51997, 50867, 51017, 51126, 61047, 55878, 57706, 53896, 52645, 51175, 54136, 50886, 69950, 56521, 50850, 53825, 51406, 51909, 55028, 52181, 50886, 51997, 50867, 56555, 61047, 51017, 51000, 74270, 51089, 50892, 51020, 50806, 52181, 50867, 51997, 50857, 67296, 57409, 50850, 56558, 51949, 54034, 54136, 50886, 63040, 56555, 51017, 51000, 57706, 66643, 53129, 56656, 52887, 51073, 51083, 50914, 51268, 50896, 52181, 50867, 51997, 50857, 64047, 56521, 50850, 53933, 51139, 51909, 55788, 52181, 50886, 51997, 50857, 56555, 51017, 50971, 62940, 70407, 54136, 50867, 67727, 63040, 50850, 55475, 51949, 54673, 52181, 50857, 51997, 50867, 62940, 55878, 51017, 51000, 60227, 67421, 52225, 57991, 52645, 51048, 51401, 51003, 51089, 51016, 52181, 50867, 51997, 50867, 66524, 58817, 50850, 55579, 51406, 51909, 56782, 54136, 50864, 51017, 51000, 56555, 63040, 51983, 50456, 52181, 50867, 51997, 50857, 67296, 56640, 50850, 56707, 51949, 54600, 54136, 50886, 56955, 51017, 51000, 62940, 60227, 61969, 53389, 51293, 51881, 51313, 52332, 51293, 51838, 51293, 61163, 51173, 52473, 51422, 51083, 51933, 53154, 50867, 51997, 50857, 55315, 59358, 50850, 54312, 51041, 58168, 51949, 57226, 52162, 50886, 56955, 69870, 50848, 51000, 51983, 50420, 53154, 50813, 58440, 59645, 50850, 56707, 51792, 53991, 53154, 50857, 51997, 50857, 55878, 50848, 51126, 61268, 60227, 53896, 52887, 51173, 52162, 50886, 57884, 59358, 50850, 55579, 76903, 55028, 53154, 50857, 51997, 69942, 51000, 56955, 68101, 70199, 53154, 50813, 51997, 50867, 59645, 62105, 50850, 56768, 51949, 54483, 52660, 50828, 52162, 50867, 55878, 69870, 50848, 59874, 51464, 52520, 54203, 52660, 50948, 53154, 50867, 51997, 50813, 57884, 59358, 50850, 53933, 70005, 56432, 52162, 50857, 56955, 61268, 50848, 51126, 52352, 52388, 52875, 53054, 50865, 53154, 50857, 60577, 59645, 50850, 56558, 70030, 52100, 54673, 53154, 50867, 51997, 50857, 55878, 69870, 50848, 51000, 60227, 53421, 54471, 50865, 54219, 51012, 52162, 50867, 55315, 50944, 60303, 55742, 51467, 51909, 55351, 53154, 50857, 51997, 50857, 56555, 61268, 66939, 51983, 50456, 52887, 50924, 54246, 50923, 52162, 50857, 62105, 59645, 50850, 54384, 53270, 51792, 54600, 53154, 50857, 51997, 50867, 55878, 69870, 50848, 77093, 51539, 52859, 60323, 53389, 51293, 51881, 51293, 52332, 51151, 61163, 51158, 54108, 51454, 53154, 50864, 75938, 57884, 61910, 50850, 53097, 51139, 58168, 51792, 56231, 52162, 50941, 55878, 69870, 50848, 51000, 51960, 50420, 53154, 50886, 58440, 69870, 50850, 55475, 51949, 54604, 53154, 50904, 51997, 50904, 56955, 66939, 69870, 57706, 53356, 52887, 51215, 54108, 51552, 52162, 50904, 57884, 66523, 50850, 59488, 51406, 51877, 56609, 53154, 50864, 51997, 50904, 61268, 56555, 50848, 51126, 70199, 53154, 50864, 75938, 60577, 69870, 50850, 56558, 51949, 54483, 52162, 50971, 50848, 51000, 55878, 50944, 55601, 52497, 54203, 52660, 51215, 53154, 50864, 75938, 60577, 59358, 50850, 53959, 51041, 51909, 56432, 52162, 50904, 50848, 51126, 69870, 50850, 51589, 53384, 53154, 50904, 62105, 55853, 50944, 56254, 51949, 54284, 53154, 50864, 75938, 55878, 69870, 50848, 51126, 60227, 54044, 53311, 51073, 54219, 50923, 52162, 50941, 59358, 55315, 50850, 58972, 51406, 51909, 55351, 53154, 50886, 51997, 50904, 56555, 61268, 50848, 51000, 52008, 50456, 52355, 50911, 52162, 50864, 60577, 55853, 50944, 55249, 51792, 55053, 53154, 50864, 75938, 56955, 61268, 50848, 51000, 57706, 60323, 53541, 51148, 51881, 51293, 51615, 51145, 62640, 51173, 52824, 51551, 52162, 50886, 57884, 55806, 50935, 54312, 76902, 57226, 51707, 50864, 62080, 61950, 50848, 51000, 51960, 50420, 51707, 50886, 52554, 50904, 62105, 61253, 50847, 55249, 51949, 53991, 51707, 50971, 52554, 50864, 50848, 51126, 62974, 66850, 60227, 54953, 51995, 51173, 52162, 50971, 77283, 55315, 50935, 63088, 51406, 51877, 55028, 51707, 50941, 52554, 50941, 62080, 66850, 66939, 74270, 51707, 50864, 52554, 50864, 62105, 57578, 50935, 54791, 51949, 54950, 52162, 50904, 58876, 60331, 50848, 51000, 60227, 61562, 53389, 51145, 52332, 64488, 52660, 51158, 52355, 50980, 53154, 50904, 51997, 50904, 60577, 61910, 50850, 53933, 71271, 56432, 53154, 50971, 51997, 50904, 50848, 51126, 56555, 69870, 70407, 52162, 50904, 62105, 59645, 50850, 54791, 51792, 54673, 53154, 50941, 51997, 50904, 68101, 56555, 66939, 60227, 54044, 52887, 50865, 54108, 51030, 53154, 50904, 51997, 50886, 50944, 55582, 50827, 50850 ]

[ 0, 250, 20902, 3495, 1619, 2214, 19, 10, 2842, 9, 15855, 2712, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 13305, 6, 21979, 8669, 6, 31365, 6673, 6909, 6, 8, 21979, 9590, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 748, 1879, 15525, 20889, 9, 10572, 13410, 228, 2289, 6, 24, 11498, 10, 33928, 8, 17627, 17274, 6711, 1328, 63, 204, 73, 306, 86, 6543, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 9, 163, 428, 6, 230, 119, 406, 6, 8, 163, 35470, 757, 6, 1271, 10, 12405, 11057, 12, 13028, 12117, 7, 42, 12298, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 67004, 50906, 51346, 50876, 51346, 51001, 51346, 51197, 51346, 50861, 51346, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51560, 58747, 51663, 52761, 51643, 51025, 52200, 51377, 52436, 51377, 50421, 51979, 51377, 50425, 51197, 69706, 68240, 61204, 60799, 51298, 50854, 52112, 50432, 51652, 50866, 51721, 50866, 52394, 50866, 52608, 50866, 51556, 57352, 51643, 76013, 52200, 51158, 51979, 51158, 52436, 51158, 51234, 51162, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51098, 51241, 50852, 55354, 51721, 50862, 52394, 50862, 51978, 64598, 51652, 61495, 51234, 51377, 50450, 52770, 51060, 51652, 51060, 52394, 51060, 63010, 56206, 66249, 51298, 59904, 51179, 57143, 53628, 77852, 51652, 50862, 79118, 51721, 50862, 52394, 50862, 51978, 50862, 50799, 52200, 51192, 52436, 51192, 50906, 51346, 50876, 51346, 50861, 51346, 51197, 51346, 50979, 51312, 77643, 50939, 51312, 51560, 51241, 50852, 57056, 51643, 51192, 51979, 51192, 51001, 51346, 50422, 51652, 53910, 51721, 50813, 52394, 50857, 52608, 60811, 51643, 51158, 51197, 69706, 52200, 51158, 52436, 51173, 50906, 51162, 51001, 51162, 68240, 61204, 60799, 52261, 50427, 51979, 51173, 50861, 51162, 50876, 51162, 50434, 51643, 50840, 51461, 60157, 52113, 50840, 52656, 50840, 52436, 50840, 66290, 50968, 51400, 51234, 51400, 50965, 51400, 50906, 51400, 50876, 51400, 75548, 50992, 51380, 50935, 51380, 51840, 51380, 50852, 59484, 54021, 63771, 50965, 51346, 65851, 51346, 50968, 51346, 50848, 50833, 65500, 70392, 51840, 50833, 51493, 51377, 50903, 54162, 51044, 56688, 51315, 51346, 50876, 51346, 51621, 55971, 50906, 51346, 54960, 51346, 51001, 51346, 50861, 51346, 50979, 51312, 77643, 50939, 51312, 51560, 58747, 51759, 55376, 51197, 51346, 50420, 51643, 51377, 52200, 51377, 52436, 51377, 50421, 51979, 51377, 56546, 51162, 50906, 51162, 51001, 51162, 50979, 55305, 57424, 51373, 56171, 51197, 51162, 50861, 70705, 51652, 50866, 51721, 50866, 52394, 50866, 52608, 50866, 51556, 56305, 51979, 51158, 51085, 51162, 50956, 69205, 51643, 51158, 52200, 51158, 52436, 79306, 51162, 50900, 51162, 50906, 51162, 50979, 51253, 50939, 51253, 50909, 51253, 51439, 51253, 51461, 51091, 50852, 53641, 51652, 50862, 51721, 50862, 52394, 50862, 52608, 53938, 52770, 51060, 51652, 51060, 53628, 51060, 52394, 51060, 50956, 51377, 51085, 51377, 50861, 51377, 50979, 57424, 57262, 50810, 51439, 58713, 51179, 57143, 50900, 51377, 50906, 51377, 50458, 51652, 50862, 52394, 50862, 52261, 50459, 51721, 50862, 52608, 59496, 51979, 51192, 71756, 51192, 52200, 51192, 52436, 51192, 51234, 51346, 50956, 51346, 50861, 51346, 50900, 51346, 50906, 51346, 50979, 51312, 77643, 50939, 51312, 50909, 51312, 51461, 54490, 60170, 52394, 56133, 51652, 50813, 51721, 50813, 52608, 60811, 50973, 69706, 51667, 51158, 52226, 51158, 52491, 51173, 51979, 51173, 51040, 51162, 50861, 51162, 50916, 51162, 51279, 51162, 51017, 56705, 58975, 68820, 50813, 52419, 50889, 52261, 50435, 51721, 50840, 51633, 50840, 51978, 50840, 52656, 50840, 51956, 50437, 50965, 51400, 50876, 51400, 50871, 51400, 50438, 51234, 51400, 50899, 51400, 75548, 50992, 51380, 50909, 51380, 51439, 51380, 50852, 59484, 54021, 63771, 51120, 74190, 50965, 51346, 50871, 51346, 50876, 51346, 50899, 51346, 50848, 50833, 65500, 61966, 51439, 50833, 51140, 51377, 52243, 51502, 51135, 50828, 51621, 50820, 55694, 51346, 50956, 51346, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51560, 58747, 51759, 55376, 50861, 51346, 50900, 51346, 51197, 51346, 50419, 51979, 51377, 50420, 52200, 51377, 52436, 51377, 50421, 51643, 51377, 50425, 51197, 69706, 68240, 61204, 60799, 51298, 53330, 56999, 52394, 53961, 51652, 50866, 51721, 50866, 52608, 50866, 51556, 56305, 51979, 76013, 51643, 51158, 52200, 51158, 52436, 51158, 51026, 51162, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51098, 51241, 50852, 57000, 51652, 56112, 51721, 50862, 52394, 50862, 52608, 61495, 51026, 51377, 50450, 52770, 51060, 51652, 51060, 52394, 51060, 63010, 56206, 66249, 51298, 59904, 51179, 57143, 53628, 77852, 51652, 50862, 52261, 50459, 51721, 50862, 52394, 50862, 52608, 59496, 50876, 51346, 71756, 51192, 52200, 51192, 51978, 51192, 52656, 51192, 51503, 51346, 50965, 51346, 50871, 51346, 50885, 51312, 50979, 51312, 50992, 51312, 51522, 51241, 50852, 57056, 50956, 51346, 50423, 52185, 50813, 51643, 50813, 52608, 50857, 51978, 60811, 51503, 51162, 50871, 69706, 51643, 51158, 52200, 51158, 51978, 51173, 52656, 51173, 50876, 51162, 50965, 51162, 61377, 68240, 62993, 52261, 50427, 50956, 51162, 50434, 52200, 50840, 51140, 60157, 53179, 50840, 52380, 50840, 51956, 50436, 52172, 53813, 50876, 51400, 51279, 51400, 50989, 51400, 50885, 51380, 50979, 51380, 50944, 51380, 74435, 50852, 57014, 50877, 51400, 50956, 51400, 50446, 51930, 63771, 50877, 74190, 51279, 51346, 50876, 51346, 50956, 51346, 50989, 51346, 50885, 62295, 67380, 50833, 59416, 52419, 51377, 52243, 51502, 51135, 50828, 51621, 50820, 57923, 51346, 50876, 51346, 51234, 51346, 50861, 51346, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51560, 58747, 51759, 55376, 50906, 51346, 50420, 51643, 51377, 52200, 51377, 51979, 51377, 52436, 51377, 50426, 51234, 51162, 50979, 55305, 69802, 51298, 51373, 56999, 52394, 53961, 51652, 50866, 51721, 50866, 52608, 50866, 51556, 52600, 51643, 51158, 52200, 51158, 51979, 51158, 52436, 51158, 51214, 51162, 50979, 51253, 67591, 50939, 51253, 51298, 51253, 51098, 51241, 50852, 57000, 52394, 56112, 51652, 50862, 51721, 50862, 52608, 61495, 53628, 60866, 51652, 51060, 52394, 51060, 51214, 51377, 50979, 55305, 69802, 51298, 58713, 51179, 57143, 52770, 77852, 51652, 50862, 52394, 50862, 52261, 50459, 51721, 50862, 52608, 80139, 51961, 50847, 51961, 50939, 51961, 51298, 51961, 50799, 52200, 51192, 51979, 51192, 52436, 51192, 50906, 51346, 50861, 51346, 51197, 51346, 50876, 51346, 51560, 54490, 57056, 51643, 51192, 51001, 51346, 50423, 51652, 50813, 51721, 50813, 52394, 50857, 52608, 60811, 51120, 51162, 79494, 50973, 69706, 52135, 51158, 51633, 51158, 52891, 51173, 52172, 51173, 50989, 51162, 50902, 51162, 51042, 57408, 56608, 59864, 50813, 51273, 50807, 52261, 50434, 51979, 55782, 51643, 50840, 52200, 50840, 52436, 50840, 51956, 50436, 50979, 51542, 50847, 51542, 50939, 51542, 51298, 51542, 50438, 51001, 73797, 65327, 75600, 50977, 51560, 55633, 57014, 51197, 51400, 50444, 50931, 51480, 51147, 51480, 51405, 51480, 50445, 51062, 51480, 50446, 51456, 52802, 51234, 51346, 50979, 75020, 63725, 75471, 50862, 51140, 58785, 54162, 51044, 79467, 57208, 51456, 52738, 50951, 52363, 50328, 52363, 50331, 51058, 50457, 51081, 51058, 50458, 51289, 50818, 51621, 50820, 63515, 51197, 51346, 50861, 51346, 50876, 51346, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51560, 58747, 51663, 55376, 51001, 51346, 50906, 51346, 50420, 51643, 51025, 52200, 51377, 51979, 51377, 52436, 51377, 50425, 51197, 69706, 68240, 61204, 60799, 51298, 50854, 52112, 50431, 52394, 53961, 51721, 50866, 52608, 50866, 50433, 51652, 50866, 51556, 53040, 52200, 51158, 51979, 51158, 52436, 51158, 51234, 51162, 50979, 51312, 77643, 50939, 51312, 51298, 51312, 51098, 51241, 50852, 57014, 51643, 51158, 50446, 52394, 56112, 51721, 50862, 51978, 64598, 51652, 61495, 53628, 60866, 52770, 51060, 51652 ]

[ 0, 713, 5175, 19834, 2125, 6, 278, 11, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1931, 21683, 10, 19448, 8, 1372, 16464, 4, 20, 3459, 8669, 8, 13305, 185, 5, 483, 6, 7513, 30, 5, 32625, 23225, 9, 10, 21040, 2426, 6, 18558, 6, 8, 1076, 560, 31365, 25999, 4, 590, 10, 20889, 9, 5962, 163, 5683, 6, 5, 2214, 3136, 23, 41, 12447, 1001, 2877, 6, 4246, 10, 33215, 16739, 9, 12608, 6, 272, 6, 230, 119, 6, 12608, 406, 6, 8, 272, 37152, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 57448, 50956, 61508, 74360, 50828, 51930, 51472, 51209, 50886, 51408, 50862, 52031, 58738, 62238, 50956, 61368, 63947, 50813, 51209, 50886, 51408, 50862, 52031, 58738, 59136, 50956, 61368, 69771, 50855, 51209, 50867, 51408, 50862, 52031, 64154, 52670, 50956, 60924, 63947, 50862, 51209, 50867, 51408, 50862, 52031, 58738, 58032, 50956, 60924, 61339, 50862, 51209, 50886, 51408, 50862, 52031, 58738, 59347, 50956, 61368, 72020, 50862, 51209, 50886, 51408, 50862, 52031, 58738, 53040, 50956, 61368, 63947, 50855, 51930, 51345, 51209, 50867, 51408, 50862, 52031, 58738, 58655, 50956, 60924, 61339, 50855, 51209, 50886, 73326, 52031, 58738, 59673, 50956, 59244, 63947, 50855, 51209, 50867, 73326, 52031, 60561, 53533, 50899, 72389, 62391, 50836, 51389, 51112, 51547, 50867, 51229, 50862, 51390, 60903, 60053, 50899, 74463, 62391, 50855, 51547, 50867, 51229, 50862, 51390, 58738, 56637, 50899, 72389, 62391, 50836, 51547, 50867, 51229, 50862, 51390, 58738, 50884, 56178, 61368, 79266, 50887, 51930, 50893, 51209, 51003, 51408, 50914, 52031, 50914, 51068, 54292, 52758, 77225, 54544, 51112, 56178, 71945, 68128, 50855, 51522, 51472, 51772, 50955, 51674, 50878, 51334, 50833, 54799, 51605, 57922, 53501, 58220, 57978, 61798, 50956, 61257, 62141, 50867, 51772, 50878, 51674, 50854, 51334, 62642, 50956, 68340, 50813, 57966, 51772, 50878, 51674, 50810, 51334, 53049, 50956, 68340, 60982, 50862, 51772, 50878, 51674, 50854, 51334, 64154, 59508, 50956, 64397, 60982, 50867, 51772, 50955, 51674, 50810, 51334, 65053, 50956, 68340, 50829, 57966, 51772, 50878, 51674, 50942, 51334, 54172, 53018, 50956, 73268, 61547, 50813, 51150, 51157, 51772, 50878, 51674, 50854, 51334, 50812, 52832, 57978, 58900, 50956, 73477, 66875, 50834, 51772, 50878, 51674, 50810, 51334, 64661, 50956, 73940, 62088, 50820, 51772, 50878, 51674, 50810, 51334, 53639, 50876, 70157, 68340, 50862, 51930, 51048, 51772, 50878, 51674, 50810, 51334, 50808, 52770, 50977, 51068, 59753, 50956, 64397, 66423, 50857, 51772, 50878, 51674, 50854, 51334, 63569, 50956, 73268, 60982, 50867, 51772, 50955, 51674, 50844, 51334, 50833, 56178, 68340, 60982, 50862, 51522, 51291, 51772, 50955, 51674, 50810, 51334, 50833, 58220, 54420, 59527, 50956, 64660, 50829, 57966, 51772, 50955, 51674, 50878, 51334, 62642, 50956, 64397, 66423, 50829, 51772, 50955, 51674, 50844, 51334, 53049, 50956, 73268, 62780, 50862, 51772, 50878, 51674, 50810, 51334, 50833, 54544, 51173, 51068, 56839, 50956, 64397, 60982, 50813, 51772, 50878, 51674, 50844, 51334, 63023, 50965, 62869, 72889, 50825, 51772, 50844, 51674, 50810, 51334, 50854, 54544, 53988, 53018, 50956, 68340, 61547, 50813, 51150, 51346, 51772, 50810, 51674, 50854, 51334, 50812, 52832, 54732, 58751, 56267, 63792, 50956, 50813, 57966, 50965, 50829, 51772, 50810, 51674, 50810, 51334, 68785, 50956, 68340, 50834, 57966, 51772, 50878, 51674, 50810, 51334, 53639, 50956, 73268, 61547, 50813, 51930, 51157, 51772, 50878, 51674, 50810, 51334, 50833, 52770, 50977, 51068, 59753, 50956, 61257, 60982, 50857, 51772, 50810, 51674, 50810, 51334, 50833, 54990, 74653, 54799, 61963, 50956, 68340, 66875, 50862, 51772, 50844, 51674, 50844, 51334, 62659, 54990, 51364, 55524, 64189, 61339, 50862, 51150, 51291, 51366, 50878, 51209, 50942, 51334, 50925, 55283, 53501, 52832, 54420, 59527, 50916, 53529, 50311, 50928, 50906, 50904, 51366, 50878, 51209, 50942, 51334, 65944, 50916, 61077, 62339, 50867, 51366, 50878, 51209, 50878, 51334, 50925, 56248, 61381, 70483, 50862, 51366, 50878, 51209, 50854, 51334, 50925, 51068, 57531, 50916, 62614, 62339, 50857, 51366, 50878, 79529, 51334, 59662, 50916, 62531, 70483, 50862, 51366, 50878, 51209, 50854, 51334, 50925, 52969, 53402, 50916, 62614, 62339, 50813, 51984, 51157, 51366, 50955, 51209, 50854, 51334, 50925, 53195, 51896, 52376, 56369, 59721, 50916, 62614, 62339, 50813, 51366, 50878, 79529, 51334, 62604, 50916, 60924, 61339, 50862, 51366, 50878, 51209, 50854, 51334, 58460, 50916, 60334, 62614, 50829, 52078, 51112, 51366, 50878, 51209, 50878, 51334, 50925, 51652, 50925, 51068, 59753, 50916, 65633, 61077, 50837, 51366, 50955, 51209, 50942, 51334, 65737, 50916, 61381, 70483, 50857, 51366, 50955, 79529, 51334, 50925, 55524, 60924, 70483, 50862, 51150, 51446, 51366, 50955, 51209, 50878, 51334, 50942, 52832, 57978, 62238, 50916, 61077, 69074, 50857, 51366, 50955, 51209, 50878, 51334, 65944, 50916, 61381, 60102, 50813, 51366, 50878, 51209, 50942, 51334, 50925, 56248, 62614, 61339, 50862, 51366, 50878, 51209, 50942, 51334, 50925, 51068, 59508, 50916, 61077, 69074, 50857, 51366, 50878, 51209, 50942, 51334, 64160, 50916, 61077, 62339, 50862, 51366, 50955, 51209, 50854, 51334, 56873, 54483, 54799, 51661, 59419, 61339, 61368, 50839, 51984, 51346, 51366, 50878, 51209, 50854, 51334, 50925, 52376, 56369, 59144, 50916, 61381, 62339, 50867, 51366, 50955, 79529, 51334, 62604, 50916, 62614, 72020, 50813, 51366, 50955, 51209, 50878, 51334, 58332, 50916, 60924, 72020, 50862, 52078, 50991, 51366, 50878, 51209, 50854, 51334, 50925, 51652, 50977, 51068, 59753, 50916, 61077, 62339, 50867, 51366, 50878, 51209, 50854, 51334, 63569, 50916, 62614, 61339, 50813, 51366, 50955, 79529, 51334, 50833, 54990, 50830, 54578, 68340, 62780, 50862, 51140, 51291, 51256, 50878, 51674, 50942, 51334, 50833, 54799, 50830, 53985, 53601, 51831, 57978, 62307, 50871, 68340, 62088, 50862, 51256, 50878, 51674, 50878, 51334, 50925, 54990, 50925, 50421, 56267, 51486, 63714, 64397, 60982, 50857, 51256, 50878, 51674, 50942, 51334, 53049, 50871, 68340, 50813, 57966, 51256, 50878, 51674, 50878, 51334, 64154, 59508, 50871, 71300, 62141, 50867, 51256, 50878, 51674, 50942, 51334, 65053, 50871, 68340, 60982, 50813, 51256, 50878, 51674, 50878, 51334, 54172, 54114, 50871, 64397, 60982, 50813, 51522, 51157, 51256, 50878, 51674, 50942, 51334, 50833, 52185, 60146, 59721, 50871, 61257, 60982, 50813, 51256, 50878, 51674, 50942, 51334, 64661, 50871, 68340, 60982, 50813, 51256, 50955, 51674, 50878, 51334, 54276, 50871, 68340, 60982, 50862, 51150, 51346, 51256, 50878, 51674, 50942, 51334, 50833, 51643, 50977, 51068, 57208, 50871, 61257, 62141, 50867, 51256, 50878, 51674, 50878, 51334, 63569, 50871, 60982, 68340, 50813, 51256, 50878, 51674, 50942, 51334, 50833, 54578, 61257, 62780, 50862, 51140, 51446, 51256, 50955, 51674, 50942, 51334, 50812, 51831, 57990, 59527, 50871, 62141, 61257, 50829, 51256, 50878, 51674, 50878, 51334, 62642, 50871, 61257, 60982, 50857, 51256, 50878, 51674, 50878, 51334, 53049, 50876, 62379, 68340, 50857, 51256, 50878, 51674, 50878, 51334, 50833, 53032, 64187, 57531, 50965, 62780, 60365, 50829, 51256, 50878, 51674, 50878, 51334, 65053, 50871, 68340, 62780, 50862, 51256, 50878, 51674, 50878, 51334, 50833, 53032, 53474, 53115, 50871, 61547, 73268, 50862, 51522, 51346, 51256, 50878, 51674, 50878, 51334, 50833, 52185, 57990, 57972, 53141, 50952, 50442, 50876, 60365, 66811, 50867, 51256, 50955, 51674, 50878, 51334, 68785, 50871, 73268, 62780, 50862, 51256, 50878, 51674, 50878, 51334, 53639, 50871, 68340, 62780, 50862, 51150, 51346, 51256, 50878, 51674, 50878, 51334, 50833, 51643, 50977, 51068, 59753, 50871, 60982, 68340, 50857, 51256, 50878, 51674, 50878, 51334, 50854, 52969, 60715, 56267, 59831, 50871, 73268, 62780, 50862 ]

[ 0, 250, 765, 5175, 37903, 4246, 10, 38668, 483, 6, 2370, 21305, 6, 8, 18558, 6, 7513, 30, 21072, 8, 10, 38668, 2236, 4, 20, 2125, 16, 278, 11, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 2351, 10, 2635, 6, 15352, 30054, 6, 8, 3366, 219, 5466, 14, 7630, 6568, 10, 1472, 9, 980, 8, 26545, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50416, 57677, 51016, 57541, 51016, 58004, 51016, 55668, 50802, 54045, 50893, 51612, 51016, 56620, 50893, 51206, 52220, 58026, 60264, 55462, 50802, 55205, 50893, 56334, 53734, 57615, 51289, 60066, 60264, 55462, 50802, 55205, 50858, 51567, 51941, 56334, 56285, 57925, 55205, 60661, 55668, 50802, 54045, 50858, 56620, 53734, 57880, 54045, 55509, 62281, 57541, 51016, 58621, 51016, 63036, 51016, 53929, 50802, 54426, 50893, 58267, 56285, 51928, 59116, 58205, 53354, 50802, 53452, 50893, 58048, 53734, 52220, 57891, 50843, 52220, 62103, 58205, 53354, 50802, 53452, 50858, 58048, 53734, 52220, 58403, 53452, 67320, 58461, 53283, 50802, 53494, 50893, 65166, 53734, 54831, 56771, 65242, 51809, 60378, 57541, 51016, 58621, 51016, 61514, 51016, 53907, 50802, 54776, 50893, 52792, 51941, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 60378, 50720, 50301, 55509, 52220, 56861, 50720, 50301, 52153, 57880, 50843, 62281, 50720, 50301, 56189, 51928, 59116, 54426, 50858, 50720, 50301, 55509, 57891, 54426, 50858, 50452, 54426, 50858, 52075, 51977, 50720, 50301, 52153, 58403, 50720, 50301, 55509, 56575, 53929, 50802, 54426, 56285, 50803, 51809, 58461, 58065, 51016, 60516, 51016, 61514, 51016, 53354, 50802, 53452, 50893, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 58461, 50720, 50301, 55509, 52220, 56861, 51612, 51977, 50720, 50301, 52153, 57880, 50843, 62281, 50720, 50301, 56189, 51928, 59116, 54426, 50858, 50720, 50301, 55509, 57891, 54426, 50858, 50452, 54426, 50858, 50720, 50301, 52153, 58403, 50720, 50301, 55509, 56575, 53929, 50802, 54426, 56285, 50803, 51809, 71435, 58065, 51016, 60516, 51016, 61514, 51016, 53354, 50802, 53452, 50893, 52290, 51941, 50791, 52220, 60442, 50843, 58026, 50852, 60066, 54426, 55509, 52220, 57925, 54426, 60661, 60264, 54426, 50858, 62655, 52153, 57880, 50843, 62281, 71435, 54426, 50858, 62655, 56189, 51928, 60254, 54426, 63774, 54426, 50858, 62655, 55509, 57891, 62655, 50858, 50452, 54426, 50858, 51612, 51016, 62655, 52153, 58403, 54426, 55509, 56575, 53929, 50803, 54426, 56189, 56771, 53929, 50803, 54426, 50858, 51809, 57677, 51016, 57541, 51016, 58004, 51016, 55668, 50802, 54045, 50893, 51612, 51016, 56620, 53734, 52220, 60442, 50843, 58026, 60264, 55462, 50802, 55205, 50893, 56334, 56285, 52220, 60066, 60264, 55462, 50803, 55205, 50858, 51567, 51941, 56334, 59893, 52220, 57925, 55462, 50803, 55205, 60661, 55668, 50803, 54045, 50858, 56620, 53734, 57880, 55668, 50803, 54045, 55509, 62281, 57541, 51016, 58621, 51016, 63036, 51016, 53929, 50802, 54426, 50893, 58267, 56285, 51928, 59116, 58205, 53354, 50802, 53452, 50893, 58048, 59893, 52220, 62103, 58205, 53354, 50802, 53452, 50858, 58048, 53734, 52220, 58403, 53452, 55509, 56575, 58461, 53283, 50802, 53494, 50893, 65166, 56285, 50803, 51809, 60378, 57541, 51016, 58621, 51016, 61514, 51016, 53907, 50824, 54776, 51016, 51612, 51016, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 60378, 51567, 51941, 50720, 50301, 55509, 52220, 56861, 50720, 50301, 52153, 57880, 50843, 62281, 50720, 50301, 56189, 51928, 59116, 54426, 50858, 50720, 50301, 55509, 57891, 54426, 50858, 50452, 54426, 50858, 50720, 50301, 52153, 58403, 50720, 50301, 55509, 56575, 53929, 50802, 54426, 56285, 50803, 51809, 58461, 58065, 51016, 60516, 51016, 61514, 51016, 53354, 50824, 53452, 51016, 52792, 51941, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 58461, 50720, 50301, 55509, 52220, 56861, 50720, 50301, 52153, 57880, 50843, 62281, 50720, 50301, 56189, 51928, 59116, 54045, 50858, 50720, 50301, 55509, 57891, 54045, 50858, 50452, 54045, 50858, 52075, 51977, 50720, 50301, 52153, 58403, 50720, 50301, 55509, 56575, 53929, 50802, 54426, 56285, 50803, 51809, 71435, 58065, 51016, 60516, 51016, 61514, 51016, 53354, 50802, 53452, 53734, 52220, 60442, 50843, 58026, 50852, 60066, 54045, 55509, 52220, 57925, 54045, 60661, 60264, 54045, 50858, 51612, 51977, 62655, 52153, 57880, 50843, 62281, 71435, 54045, 50858, 62655, 56189, 51928, 60254, 54045, 63774, 54045, 50858, 62655, 55509, 57891, 62655, 50858, 50452, 54045, 50858, 62655, 52153, 58403, 50843, 56575, 53929, 50803, 54426, 56189, 56771, 53929, 50803, 54426, 50858, 51809, 57677, 51016, 57541, 51016, 58004, 51016, 55668, 50802, 54045, 50893, 52290, 51941, 56620, 53734, 52220, 60442, 50843, 58026, 60264, 55462, 50802, 55205, 50893, 56334, 56285, 57615, 51224, 60066, 60264, 55462, 50803, 55205, 50858, 56334, 50893, 51224, 52220, 57925, 55462, 50803, 55205, 69520, 56861, 55668, 50803, 54045, 50858, 56620, 53734, 57880, 55668, 50803, 54045, 55509, 62281, 57541, 51016, 58621, 51016, 63036, 51016, 53929, 50802, 54426, 50893, 58267, 56285, 51928, 59116, 58205, 53354, 50802, 53452, 50893, 58048, 59893, 52220, 62103, 58205, 53354, 50802, 53452, 50858, 51612, 51016, 58048, 53734, 52220, 58403, 53452, 55509, 56575, 58461, 53283, 50802, 53494, 50893, 65166, 56285, 50803, 51809, 60378, 57541, 51016, 58621, 51016, 61514, 51016, 53907, 50824, 54776, 51016, 51612, 51016, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 60378, 55205, 51356, 51567, 51941, 50720, 50301, 55509, 52220, 56861, 50720, 50301, 52153, 57880, 50843, 62281, 50720, 50301, 56189, 51928, 59116, 50720, 50301, 55509, 62103, 50720, 50301, 52153, 58403, 50720, 50301, 55509, 56575, 53929, 50802, 54426, 56285, 50803, 51809, 58461, 58065, 51016, 60516, 51016, 61514, 51016, 53354, 50824, 53452, 51016, 51612, 51016, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 58461, 54045, 50858, 51567, 51941, 50720, 50301, 55509, 52220, 57925, 54045, 60661, 54045, 50858, 50720, 50301, 52153, 57880, 50843, 62281, 54045, 50858, 50720, 50301, 56189, 51928, 60254, 54045, 63774, 54045, 50858, 50720, 50301, 55509, 62103, 54045, 50858, 50720, 50301, 52153, 58403, 54045, 50858, 50720, 50301, 55509, 56575, 53929, 50802, 54426, 56285, 50803, 51809, 71435, 58065, 51016, 60516, 51016, 61514, 51016, 53354, 51029, 53452, 51343, 52792, 51941, 50791, 52220, 60442, 50843, 58026, 50852, 60066, 50843, 52220, 56861, 60264, 53283, 50802, 62655, 52153, 57880, 50843, 62281, 71435, 55612, 50802, 54045, 50858, 62655, 56189, 51928, 60254, 54045, 63774, 53907, 50802, 54045, 50858, 62655, 55509, 57891, 62655, 50858, 50452, 52998, 50824, 54045, 50858, 52075, 51977, 62655, 52153, 58403, 54045, 55509, 56575, 54045, 56189, 50803, 51809, 57677, 51016, 57541, 51016, 58004, 51016, 54045, 50893, 56620, 53734, 52220, 60442, 50843, 58026, 60264, 55205, 50893, 56334, 56285, 52220, 60066, 60264, 55205, 50858, 56334, 59893, 52220, 57925, 55205, 60661, 54045, 50858, 51612, 51977, 56620, 53734, 57880, 54045, 55509, 62281, 57541, 51016, 58621, 51016, 63036, 51016, 54426, 50893, 58267, 56285, 51928, 59116, 58205, 53452, 50893, 58048, 59893, 52220, 62103, 58205, 53452, 50858, 58048, 53734, 52220, 58403, 53452, 55509, 56575, 58461, 53494, 50893, 65166, 56285, 50803, 51809, 60378, 57541, 51016, 58621, 51016, 61514, 51016, 53283, 51029, 54776, 50893, 52290, 51941, 50720, 50301, 52153, 52220, 60442, 50843, 58026, 50720, 50301, 56189, 60066, 60378, 54776, 50858, 50720, 50301, 55509, 52220, 57925, 54776, 60661 ]

[ 0, 250, 20902, 8, 15352, 30054, 5175, 2125, 6, 42, 765, 2214, 1575, 10, 13305, 816, 38351, 6460, 3435, 11, 230, 538, 4, 590, 10, 12701, 4450, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 149, 10, 33215, 13931, 9, 230, 6, 211, 119, 6, 230, 6, 8, 274, 6, 2351, 10, 6878, 8, 17627, 17274, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 67004, 51050, 71508, 51412, 50423, 50968, 52580, 50931, 55544, 50951, 52718, 50999, 56391, 50951, 52985, 50999, 56711, 51081, 50838, 54197, 51962, 50328, 58187, 51062, 57937, 50637, 51062, 68861, 50637, 50444, 50637, 51339, 57060, 50636, 50450, 50636, 51062, 70184, 50636, 50456, 50636, 51220, 56517, 50636, 67004, 50997, 51962, 50326, 55126, 51081, 53591, 50999, 52580, 50951, 55544, 51081, 52718, 50637, 50997, 52363, 50326, 68861, 50637, 50444, 50637, 51081, 54043, 50636, 50999, 52989, 50636, 50951, 70184, 50636, 50456, 50636, 51081, 56517, 50636, 67004, 51050, 77244, 55126, 51147, 52688, 51050, 52104, 50325, 55544, 51026, 52216, 50326, 52718, 51176, 52104, 50327, 56391, 51027, 52216, 50328, 52985, 50997, 52104, 50329, 56711, 51027, 52216, 50328, 50838, 54197, 51481, 50931, 51412, 55961, 75741, 50968, 52580, 51050, 75598, 55544, 50871, 74337, 52718, 51050, 52104, 50325, 56391, 50871, 74337, 52985, 51050, 52104, 50325, 56711, 50871, 52216, 50326, 50838, 54197, 51481, 51062, 50995, 55961, 55752, 51050, 52104, 50328, 51097, 58783, 55659, 50637, 51050, 52104, 50328, 68861, 50637, 50444, 50636, 50871, 52216, 50333, 57060, 50636, 50450, 50636, 51050, 52104, 50328, 70184, 50636, 50456, 50636, 50871, 52216, 50327, 56517, 50636, 55435, 51481, 51081, 67943, 50637, 62143, 52216, 50326, 53591, 50999, 52580, 50997, 72895, 55544, 50906, 52216, 50326, 52718, 50997, 52104, 50326, 56391, 50906, 52216, 50326, 54043, 50999, 52989, 50997, 72895, 56711, 50906, 52216, 50326, 50838, 54197, 51481, 50999, 55126, 50871, 52216, 50324, 52688, 51050, 52104, 50325, 55544, 50871, 52216, 50326, 52718, 50637, 51050, 52104, 50325, 68861, 50637, 50444, 50637, 50871, 74337, 57060, 50636, 50450, 50636, 51050, 75598, 78252, 50636, 50456, 50636, 50871, 67273, 50636, 67004, 51081, 50822, 50997, 51412, 50416, 51062, 73616, 51081, 51481, 50423, 51050, 52580, 51315, 55544, 51050, 52718, 50637, 51081, 50874, 50997, 51534, 50440, 51062, 55608, 50637, 50443, 51081, 51481, 50444, 50637, 50447, 50636, 51050, 52989, 50636, 51315, 70184, 50636, 50456, 50636, 51050, 56517, 50636, 67004, 50900, 77406, 60726, 51085, 53591, 51120, 52580, 51315, 58519, 51197, 52739, 51315, 53720, 51050, 52788, 50637, 51026, 58666, 50637, 51378, 53086, 50636, 51026, 54043, 50636, 51027, 52989, 50636, 50997, 59835, 50636, 51027, 53176, 50636, 51146, 75280, 57110, 57127, 51430, 56551, 50636, 60906, 50460, 51146, 50864, 54197, 51481, 50417, 50637, 55961, 52216, 50333, 52688, 51050, 52104, 50328, 55544, 50871, 52216, 50326, 52718, 50999, 51764, 50297, 51079, 50439, 51081, 57917, 50999, 61285, 51081, 53114, 50871, 71106, 50951, 52989, 51050, 75598, 68987, 50871, 74056, 51074, 56807, 50822, 51026, 51412, 50416, 61111, 50419, 50951, 51481, 50423, 51120, 52580, 51360, 55544, 51120, 52718, 63302, 51026, 51534, 50440, 61111, 50443, 50951, 51481, 50447, 51120, 52989, 51360, 59111, 51120, 51074, 59733, 51609, 50297, 51481, 50416, 51146, 62016, 51062, 54202, 50871, 52216, 50333, 52688, 51050, 52104, 50328, 55544, 50871, 52216, 50326, 52718, 50999, 51764, 50297, 51079, 50440, 51081, 64524, 50999, 54394, 50871, 74337, 52985, 51050, 75598, 56711, 50871, 74056, 50838, 54955, 58794, 71946, 50995, 53523, 50874, 50876, 58519, 60906, 50876, 52739, 61335, 50902, 53720, 61022, 50968, 52788, 50871, 79018, 51097, 67004, 51050, 71508, 51412, 50423, 50968, 52580, 50931, 55544, 50951, 52718, 50999, 56391, 50951, 52985, 50999, 56711, 51081, 50838, 54197, 51962, 50328, 58187, 51062, 57937, 50637, 51062, 68861, 50637, 50444, 50637, 51339, 57060, 50636, 50450, 50636, 51062, 70184, 50636, 50456, 50636, 51220, 56517, 50636, 67004, 50997, 51962, 50326, 55126, 51081, 53591, 50999, 52580, 50951, 55544, 51081, 52718, 50637, 50997, 52363, 50326, 68861, 50637, 50444, 50637, 51081, 54043, 50636, 50999, 52989, 50636, 50951, 70184, 50636, 50456, 50636, 51081, 56517, 50636, 67004, 51050, 77244, 55126, 51147, 52688, 51050, 52104, 50325, 55544, 51026, 52216, 50326, 52718, 51176, 52104, 50327, 56391, 51027, 52216, 50328, 52985, 50997, 52104, 50329, 56711, 51027, 52216, 50328, 50838, 54197, 51481, 50931, 51412, 55961, 75741, 50968, 52580, 51050, 75598, 55544, 50871, 74337, 52718, 51050, 52104, 50325, 56391, 50871, 74337, 52985, 51050, 52104, 50325, 56711, 50871, 52216, 50326, 50838, 54197, 51481, 51062, 50995, 55961, 55752, 51050, 52104, 50328, 51097, 58783, 55659, 50637, 51050, 52104, 50328, 68861, 50637, 50444, 50636, 50871, 52216, 50333, 57060, 50636, 50450, 50636, 51050, 52104, 50328, 70184, 50636, 50456, 50636, 50871, 52216, 50327, 56517, 50636, 55435, 51481, 51081, 67943, 50637, 62143, 52216, 50326, 53591, 50999, 52580, 50997, 72895, 55544, 50906, 52216, 50326, 52718, 50997, 52104, 50326, 56391, 50906, 52216, 50326, 54043, 50999, 52989, 50997, 72895, 56711, 50906, 52216, 50326, 50838, 54197, 51481, 50999, 55126, 50871, 52216, 50324, 52688, 51050, 52104, 50325, 55544, 50871, 52216, 50326, 52718, 50637, 51050, 52104, 50325, 68861, 50637, 50444, 50637, 50871, 74337, 57060, 50636, 50450, 50636, 51050, 75598, 78252, 50636, 50456, 50636, 50871, 67273, 50636, 67004, 51081, 50822, 50997, 51412, 50416, 51062, 73616, 51081, 51481, 50423, 51050, 52580, 51315, 55544, 51050, 52718, 50637, 51081, 50874, 50997, 51534, 50440, 51062, 55608, 50637, 50443, 51081, 51481, 50444, 50637, 50447, 50636, 51050, 52989, 50636, 51315, 70184, 50636, 50456, 50636, 51050, 56517, 50636, 67004, 50900, 77406, 60726, 51085, 53591, 51120, 52580, 51315, 58519, 51197, 52739, 51315, 53720, 51050, 52788, 50637, 51026, 58666, 50637, 51378, 53086, 50636, 51026, 54043, 50636, 51027, 52989, 50636, 50997, 59835, 50636, 51027, 53176, 50636, 51146, 75280, 57110, 57127, 51430, 56551, 50636, 60906, 50460, 51146, 50864, 54197, 51481, 50417, 50637, 55961, 52216, 50333, 52688, 51050, 52104, 50328, 55544, 50871, 52216, 50326, 52718, 50999, 51764, 50297, 51079, 50439, 51081, 57917, 50999, 61285, 51081, 53114, 50871, 71106, 50951, 52989, 51050, 75598, 68987, 50871, 74056, 51074, 56807, 50822, 51026, 51412, 50416, 61111, 50419, 50951, 51481, 50423, 51120, 52580, 51360, 55544, 51120, 52718, 63302, 51026, 51534, 50440, 61111, 50443, 50951, 51481, 50447, 51120, 52989, 51360, 59111, 51120, 51074, 59733, 51609, 50297, 51481, 50416, 51146, 62016, 51062, 54202, 50871, 52216, 50333, 52688, 51050, 52104, 50328, 55544, 50871, 52216, 50326, 52718, 50999, 51764, 50297, 51079, 50440, 51081, 64524, 50999, 54394, 50871, 74337, 52985, 51050, 75598, 56711, 50871, 74056, 50838, 54955, 58794, 71946, 50995, 53523, 50874, 50876, 58519, 60906, 50876, 52739, 61335, 50902, 53720, 61022, 50968, 52788, 50871, 79018, 51097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 37903, 9, 5175, 930, 19, 10, 2933, 8, 15352, 30054, 6711, 6, 4246, 10, 38668, 483, 6, 21072, 6, 8, 31391, 1672, 9590, 6, 278, 11, 5, 762, 9, 230, 3694, 19, 10, 20889, 9, 10529, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 52696, 50823, 58154, 52466, 77928, 51065, 50925, 50418, 53512, 68173, 58154, 50993, 54613, 50427, 52696, 54179, 54205, 50993, 50903, 77928, 50440, 52696, 51805, 50925, 50445, 54097, 50993, 50903, 50925, 50449, 54613, 50454, 52696, 56250, 52174, 55311, 77928, 53069, 52696, 50993, 50903, 77928, 50428, 52174, 53547, 58191, 54097, 67660, 50925, 50436, 52696, 50823, 58154, 52466, 77928, 51065, 78013, 53512, 50993, 50445, 58154, 55311, 77928, 50450, 52696, 60111, 54205, 50993, 50903, 77928, 51601, 52696, 51805, 50925, 50419, 54097, 50993, 50424, 54613, 50428, 52696, 54179, 52174, 55311, 77928, 50441, 52696, 50993, 50903, 77928, 50450, 52174, 53547, 50925, 50454, 54097, 67660, 66376, 52696, 50823, 58154, 52466, 77928, 51065, 50925, 51601, 53512, 50993, 50419, 58154, 50993, 54613, 50424, 52696, 65759, 54205, 50993, 50903, 77928, 50437, 52696, 51805, 50925, 50442, 54097, 50993, 50903, 62604, 54613, 50450, 52696, 64776, 52174, 55311, 77928, 51601, 52696, 50993, 50903, 77928, 51039, 50925, 50424, 52174, 51805, 50855, 62579, 58511, 54097, 67660, 79939, 52696, 50823, 58154, 52466, 77928, 51065, 72538, 53512, 50993, 50442, 58154, 50993, 54613, 50446, 52696, 66054, 54205, 50993, 50903, 77928, 50459, 52696, 51805, 50925, 51809, 54097, 50993, 50903, 50925, 51039, 50925, 50425, 52696, 58814, 52174, 55311, 77928, 50438, 52696, 50993, 50903, 77928, 50447, 52174, 52466, 55702, 50925, 50449, 50798, 63653, 54097, 52466, 62421, 50925, 50453, 50798, 50855, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 5679, 26709, 8, 19448, 3495, 2214, 19, 10, 19834, 16464, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 3459, 9590, 6, 8, 6168, 3540, 4, 20, 2125, 16, 11, 381, 538, 6, 34, 10, 132, 73, 306, 86, 6543, 6, 8, 11498, 10, 2635, 1614, 1073, 1020, 20889, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 10431, 119, 6, 163, 6, 381, 6, 2060, 119, 406, 6, 8, 274, 10431, 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 ]

[ 51057, 50623, 51038, 51057, 51279, 52222, 51027, 52151, 56440, 58800, 64651, 53466, 50916, 57669, 63681, 54729, 50916, 51290, 50877, 51566, 51028, 51454, 51038, 56440, 58800, 57981, 52483, 50916, 58696, 63412, 55214, 50916, 58696, 63681, 62960, 51315, 50800, 51057, 51279, 76188, 51027, 52392, 56440, 57669, 62036, 54851, 50916, 58696, 63681, 54729, 50916, 51073, 64460, 51028, 51290, 51038, 56440, 57669, 72454, 52483, 50916, 65274, 63412, 55214, 50916, 57442, 52362, 50317, 50911, 51057, 51279, 52222, 51027, 52151, 56440, 58800, 64651, 53466, 50916, 57669, 63681, 54729, 50916, 51290, 50877, 51566, 51028, 51454, 51038, 56440, 58800, 57981, 52483, 50916, 58696, 63412, 55214, 50916, 58696, 63681, 50893, 51057, 51279, 51655, 56440, 57669, 62036, 54851, 50916, 58696, 63681, 54729, 50916, 51073, 64460, 51028, 51290, 75040, 51196, 56440, 57669, 72454, 52483, 50916, 65274, 63412, 55214, 50916, 57442, 52362, 50317, 50911, 50433, 56090, 51417, 50435, 55243, 51413, 50436, 52806, 51295, 50437, 52435, 51318, 51660, 51218, 73567, 59389, 65631, 51458, 50289, 51318, 51027, 51295, 51069, 67481, 51440, 51091, 56440, 57069, 65631, 55035, 50916, 58800, 62036, 62554, 52882, 62627, 52614, 52559, 51279, 59487, 56876, 57981, 66900, 53958, 50808, 51057, 51360, 50805, 51086, 59487, 63328, 50805, 52759, 50918, 51228, 51336, 51660, 51191, 51929, 51351, 52745, 51419, 56922, 51134, 50656, 50281, 51134, 53958, 51033, 50419, 55330, 60413, 51086, 59316, 53770, 51086, 62430, 59316, 51644, 50293, 51159, 50430, 53314, 58466, 50916, 66454, 52882, 62903, 52806, 50981, 50437, 67347, 51477, 52435, 51267, 56194, 51477, 51057, 51040, 71274, 58800, 51519, 50298, 51109, 51966, 51218, 51213, 51077, 51944, 51056, 50415, 51440, 51159, 53839, 50924, 50418, 52882, 54402, 51040, 71274, 57069, 50974, 50421, 54568, 51542, 61104, 64813, 57254, 53387, 51378, 51519, 50305, 66199, 57669, 50845, 51929, 55486, 51360, 50833, 51440, 50887, 51057, 51086, 61679, 56962, 51519, 50296, 51073, 51019, 51077, 51808, 51073, 51660, 50893, 51929, 51286, 50656, 50284, 54994, 51086, 59487, 63328, 52483, 50916, 60037, 58654, 51442, 50284, 51290, 51660, 51055, 52745, 51048, 55243, 51056, 50432, 51315, 57341, 52370, 50312, 58692, 75672, 50911, 51057, 51279, 63254, 56876, 63681, 50879, 51011, 51291, 51440, 51141, 50415, 52435, 51241, 51660, 51204, 56090, 51127, 52806, 51127, 56440, 59573, 51027, 51073, 56248, 58696, 72454, 66094, 52882, 54937, 50916, 50849, 52614, 56966, 51279, 50805, 53958, 50821, 51057, 51360, 79541, 61027, 56962, 50805, 51228, 51077, 51660, 51204, 51929, 51204, 52745, 51025, 56922, 69355, 53958, 51014, 50419, 55330, 55180, 51086, 57572, 52759, 50849, 53314, 58798, 51360, 70167, 63254, 70021, 50879, 50656, 50281, 50846, 52745, 62763, 52882, 50955, 50431, 53839, 51562, 50432, 51086, 63363, 51360, 50893, 51057, 51086, 75962, 52370, 50310, 51936, 50286, 51496, 51213, 51518, 67347, 50943, 52435, 50943, 51944, 50914, 51808, 53561, 51378, 54851, 51378, 52370, 50303, 51936, 50305, 51936, 50310, 50806, 56194, 50918, 50430, 51944, 52726, 51378, 67449, 51808, 64917, 69630, 50879, 51057, 51378, 64823, 51936, 50305, 51936, 50310, 51442, 50286, 51290, 51773, 50896, 51944, 51167, 52435, 51060, 67347, 51267, 50420, 51378, 54851, 51378, 52362, 50284, 64689, 51454, 51040, 51454, 73066, 51019, 50889, 52435, 51048, 51944, 50807, 51660, 50807, 55243, 51159, 50427, 50656, 50284, 51056, 50432, 51315, 51442, 50298, 50893, 51057, 51799, 51936, 50301, 59537, 62838, 50893, 50927, 51077, 51944, 51111, 51614, 50873, 53722, 51141, 56945, 50805, 51440, 52437, 51027, 58548, 52370, 50310, 50806, 51120, 51290, 51669, 51021, 51440, 50924, 51614, 77554, 53839, 54440, 51027, 50805, 53335, 50962, 52614, 57836, 53958, 50930, 51057, 51040, 60424, 56876, 78418, 51048, 51069, 51103, 56090, 50889, 51440, 50952, 52361, 51158, 52043, 51192, 50415, 53958, 50882, 50419, 55330, 53113, 51040, 50879, 51440, 54316, 55330, 51215, 57025, 75319, 57341, 57442, 50806, 50427, 52806, 50839, 51660, 50917, 51440, 50830, 52361, 57647, 51040, 50849, 52882, 75339, 52494, 50967, 51057, 51315, 51519, 50303, 56931, 70021, 51936, 50284, 51566, 51019, 50918, 51929, 50795, 51808, 50805, 50656, 50284, 50914, 51660, 61195, 51086, 50805, 51660, 55946, 53958, 55447, 51315, 50805, 51086, 58548, 58956, 50879, 51929, 51014, 53958, 65001, 55243, 58854, 52494, 58466, 51315, 51568, 50303, 50849, 51808, 51138, 50434, 54568, 51381, 75040, 51936, 50305, 51936, 50310, 58956, 52216, 50286, 51290, 50877, 51551, 51213, 51159, 51440, 51158, 52435, 51100, 51944, 51111, 56194, 51290, 61683, 54433, 51378, 56346, 51040, 53194, 50284, 51483, 51027, 51055, 50989, 51073, 51019, 51157, 51440, 51016, 51660, 51048, 52435, 51157, 55243, 69133, 51040, 75828, 51841, 50950, 64690, 50952, 50989, 69748, 51111, 51799, 51073, 50927, 51446, 51944, 50879, 51614, 50805, 53722, 50983, 54569, 50849, 51440, 52437, 51027, 61566, 62838, 73470, 51048, 51669, 50806, 51440, 50879, 51614, 77840, 53839, 54334, 50899, 50805, 53335, 50949, 52614, 55632, 75412, 53958, 50821, 51057, 51279, 75319, 59487, 56876, 75886, 78034, 51660, 51215, 51440, 50806, 52043, 50924, 52806, 51077, 53958, 50882, 50419, 55330, 54718, 50916, 71942, 51267, 52361, 69123, 55330, 51286, 61104, 61679, 56036, 61156, 51440, 51048, 51660, 51159, 56090, 51159, 50430, 52882, 59099, 50916, 60698, 52494, 50917, 51057, 51086, 58871, 56962, 51519, 50296, 51157, 51019, 51077, 55243, 51077, 51660, 50849, 51929, 50924, 51808, 51111, 50416, 53958, 51346, 54569, 79490, 51929, 53890, 51086, 58871, 50805, 51841, 51159, 51315, 63509, 50427, 51660, 50836, 53958, 72303, 52614, 54937, 50899, 60698, 55330, 65268, 53958, 50836, 51057, 51040, 64511, 64813, 57669, 50795, 52046, 50983, 51105, 51183, 51440, 50873, 51944, 50974, 72840, 51003, 52435, 51008, 52027, 78556, 52614, 51295, 61683, 50873, 52435, 53548, 51197, 58800, 50805, 51944, 56973, 55677, 52925, 50989, 50873, 69953, 63327, 61566, 57934, 51514, 50282, 51380, 50877, 51048, 50927, 51103, 73602, 51003, 51774, 50917, 51515, 50805, 51440, 51060, 53502, 50873, 51774, 56133, 51120, 53172, 50900, 51853, 50282, 59466, 51159, 51515, 50865, 53722, 50977, 56014, 60663, 51120, 50845, 79296, 53667, 51568, 50289, 51514, 50305, 64233, 56876, 50901, 51011, 50914, 51660, 50873, 56090, 50943, 51440, 51157, 52435, 67075, 52882, 54878, 51040, 73555, 52882, 62779, 53839, 52450, 50623, 50899, 51458, 50284, 51312, 51315, 51312, 51086, 51253, 71931, 51019, 78958, 51929, 51008, 51660, 50822, 55243, 51484, 52745, 50874, 50428, 52614, 50942, 58296, 70488, 53958, 51051, 50436, 55330, 51417, 50437, 56090, 51749, 51660, 51318, 51057, 50623, 51040, 63784, 51458, 50289, 51267, 50877, 51159, 51011, 51103, 51440, 51310, 52806, 51749, 50415, 52361, 51318, 50416, 52043, 51218, 61683, 58861, 50916, 52483, 51027, 65708, 50916, 65274, 52370, 50317, 50923, 51440, 50936, 52361, 51030, 51660, 54725, 51027, 51021, 50434, 51440, 50855, 51660, 54248, 50916, 50821, 50877, 50882, 51028, 50894, 52361, 59921, 51440, 51060, 51057, 50989, 58692, 51167, 50902, 51354, 51279, 51566, 70701, 51669, 50806, 51944, 52115, 50989, 54579, 50989, 58696, 51235, 50902, 51460, 68022, 51440, 50943, 51669, 50897, 51944, 50943, 57025, 51016, 51019, 51013, 63174, 63707 ]

[ 0, 4688, 20425, 8, 15352, 30054, 5175, 2214, 11, 274, 538, 6, 4246, 10, 2382, 3459, 8669, 483, 7513, 30, 3459, 9590, 6, 38668, 20535, 6, 8, 21072, 6, 19, 10, 33215, 16739, 9, 230, 119, 6, 274, 406, 6, 230, 401, 6, 230, 119, 6, 8, 272, 6, 278, 11, 10, 20902, 204, 73, 306, 86, 6543, 23, 41, 12447, 1001, 20889, 9, 23272, 13410, 228, 2289, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 50796, 52354, 50942, 79301, 51061, 50901, 51023, 50845, 51092, 73753, 52071, 51530, 51894, 50798, 55182, 54995, 58382, 50945, 50977, 79301, 51061, 50905, 51023, 50974, 51092, 51212, 50816, 54090, 53948, 50933, 53357, 50854, 51061, 51008, 51023, 50959, 51092, 51008, 51118, 62285, 55296, 53742, 53783, 50945, 77931, 51008, 79301, 51061, 50866, 51092, 66610, 55234, 54995, 52863, 63635, 51023, 50827, 76006, 51092, 50955, 51118, 64946, 54200, 54870, 50857, 50799, 51281, 51111, 50420, 51061, 55035, 51092, 65135, 51193, 55306, 51281, 52815, 51061, 53562, 51281, 51923, 51061, 51945, 52354, 50942, 79301, 51092, 50987, 51061, 50901, 51023, 54035, 55182, 54995, 58382, 50945, 50977, 79301, 51061, 50905, 51023, 50974, 51092, 51212, 50816, 54090, 53948, 50933, 53357, 50854, 51061, 51008, 51023, 50959, 51092, 51008, 51118, 62285, 55296, 53742, 53783, 50945, 77931, 51008, 79301, 51061, 50866, 51092, 66610, 55234, 54995, 52863, 63635, 51023, 50827, 76006, 51092, 50955, 51118, 64946, 54200, 54870, 50857, 52591, 52947, 50978, 51341, 51253, 50426, 52947, 55544, 52047, 50987, 51118, 56480, 52947, 50978, 51341, 66610, 50834, 53525, 52875, 52947, 50974, 51118, 50972, 60309, 53996, 52947, 50978, 51341, 66610, 53211, 52804, 50809, 52047, 50978, 51341, 51481, 50816, 50867, 50799, 52253, 51016, 50945, 51391, 51616, 51534, 51061, 52056, 51616, 51391, 50832, 52223, 56935, 50959, 51921, 51297, 51039, 52132, 50971, 52111, 61288, 52685, 50893, 52159, 51242, 51341, 51481, 51023, 51753, 51341, 51542, 51061, 51679, 50816, 50857, 56147, 50941, 51999, 58255, 54072, 50806, 51069, 51006, 51282, 67484, 50941, 53673, 52224, 61389, 52685, 51238, 50964, 51109, 51118, 51051, 51061, 78904, 57515, 51589, 50912, 52260, 60226, 51023, 50851, 51092, 50822, 51118, 51058, 59208, 57515, 50827, 52283, 60258, 52685, 50980, 50927, 59870, 51376, 51083, 50974, 51341, 51484, 51061, 51380, 50816, 50857, 55829, 50907, 52145, 60550, 50964, 51008, 79301, 53781, 56630, 50822, 52215, 51297, 50799, 52804, 51013, 50945, 51134, 51616, 50978, 51118, 51199, 51092, 51253, 50832, 56240, 51589, 50827, 51921, 59338, 51616, 51174, 61224, 50971, 52111, 61288, 54072, 50879, 51341, 50907, 52159, 50905, 51023, 51074, 51023, 52063, 51341, 57691, 53739, 50941, 52066, 51999, 58255, 52804, 50795, 51069, 51058, 51282, 50978, 51341, 52482, 51092, 51218, 50832, 50941, 53673, 52224, 61389, 54072, 51033, 50964, 51109, 51118, 51051, 51118, 51051, 51061, 63819, 50867, 61224, 50971, 52260, 60226, 54072, 50896, 51118, 51058, 51341, 51309, 51118, 51480, 63998, 54870, 50971, 52283, 51297, 57703, 50901, 51083, 78011, 51697, 51023, 51884, 50816, 50857, 61224, 50907, 52145, 60550, 52804, 51290, 50964, 50959, 51118, 51174, 54164, 56630, 50822, 52215, 51297, 52354, 51391, 51616, 51534, 50832, 52223, 56935, 50959, 51921, 59338, 51616, 51111, 51061, 51481, 53781, 50971, 52111, 61288, 52159, 50849, 52159, 51242, 51341, 51481, 51281, 51242, 51023, 51753, 50816, 50857, 56147, 50941, 51999, 58255, 51069, 51006, 51193, 51376, 51282, 50974, 51557, 59561, 50941, 53673, 52224, 51297, 56107, 51109, 51118, 51051, 51061, 51432, 51092, 51380, 51118, 72363, 57515, 51589, 50912, 52260, 60226, 51118, 51058, 59208, 57515, 50827, 52283, 51297, 57703, 74786, 51008, 51023, 51376, 51061, 51056, 51530, 57691, 50857, 55829, 50907, 52145, 60550, 50964, 51008, 79301, 53781, 56630, 50822, 52215, 51297, 52354, 51134, 51118, 51157, 51616, 50995, 51092, 51108, 50832, 56240, 51589, 50827, 51921, 51297, 51039, 55785, 50971, 52111, 61288, 51341, 50907, 52159, 50905, 52159, 51111, 51281, 51481, 51023, 52063, 50816, 53739, 50941, 52066, 51999, 58255, 51069, 51058, 51282, 50978, 51341, 52482, 51616, 51204, 51061, 52256, 50832, 50941, 53673, 52224, 51297, 56107, 51109, 51118, 51051, 51061, 63819, 50867, 61224, 50971, 52260, 60226, 51118, 62977, 51833, 54870, 50971, 52283, 51297, 57703, 50901, 51083, 78011, 51697, 51023, 51884, 50816, 50857, 61224, 50907, 52145, 60550, 53367, 50865, 50964, 50959, 51118, 51174, 54164, 56630, 50822, 52215, 51297, 50799, 52804, 50859, 50945, 51391, 51616, 51008, 51118, 51542, 50832, 52223, 56935, 50959, 51921, 59338, 52804, 50879, 51616, 51051, 53781, 50971, 52111, 61288, 54072, 50806, 52159, 51242, 51341, 51481, 51023, 51753, 51341, 51542, 51061, 51679, 50816, 50857, 56147, 50941, 51999, 58255, 52804, 50879, 51069, 51006, 51282, 67484, 50941, 53673, 52224, 61389, 54072, 51238, 50964, 51109, 51118, 51051, 51061, 78904, 57515, 51589, 50912, 52260, 60226, 51023, 50851, 51092, 50822, 51118, 51058, 59208, 57515, 50827, 52283, 60258, 52685, 50893, 50927, 59870, 51376, 51083, 50974, 51341, 51484, 51061, 51380, 50816, 50857, 55829, 50907, 52145, 60550, 54072, 50893, 50964, 51008, 79301, 53781, 56630, 50822, 52215, 51297, 50799, 52253, 50936, 50945, 51134, 51616, 50978, 51118, 51199, 51092, 51253, 50832, 56240, 51589, 50827, 51921, 59338, 52253, 50936, 51616, 51006, 61224, 50971, 52111, 61288, 52253, 50940, 51341, 50907, 52159, 50905, 51023, 51074, 51023, 52063, 51341, 57691, 53739, 50941, 52066, 51999, 58255, 52253, 50879, 51069, 51058, 51282, 50978, 51341, 52482, 51092, 51218, 50832, 50941, 53673, 52224, 61389, 52685, 50938, 50964, 51109, 51118, 51051, 51118, 51051, 51061, 63819, 50867, 61224, 50971, 52260, 60226, 54072, 50807, 51118, 51058, 51341, 51309, 51118, 51480, 63998, 54870, 50971, 52283, 51297, 57703, 50901, 51083, 78011, 51697, 51023, 51884, 50816, 50857, 61224, 50907, 52145, 60550, 52804, 50991, 50964, 50959, 51118, 51174, 54164, 56630, 50822, 52215, 51297, 52354, 51391, 51616, 51534, 50832, 52223, 56935, 50959, 51921, 59338, 51616, 51111, 51061, 51481, 53781, 50971, 52111, 61288, 52159, 50849, 52159, 51242, 51341, 51481, 51281, 51242, 51023, 51753, 50816, 50857, 56147, 50941, 51999, 58255, 51069, 51006, 51193, 51376, 51282, 50974, 51557, 59561, 50941, 53673, 52224, 51297, 56107, 51109, 51118, 51051, 51061, 51432, 51092, 51380, 51118, 72363, 57515, 51589, 50912, 52260, 60226, 51118, 51058, 59208, 57515, 50827, 52283, 51297, 57703, 74786, 51008, 51023, 51376, 51061, 51056, 51530, 57691, 50857, 55829, 50907, 52145, 60550, 50964, 51008, 79301, 53781, 56630, 50822, 52215, 51297, 52354, 51134, 51118, 51157, 51616, 50995, 51092, 51108, 50832, 56240, 51589, 50827, 51921, 51297, 51039, 55785, 50971, 52111, 61288, 51341, 50907, 52159, 50905, 52159, 51111, 51281, 51481, 51023, 52063, 50816, 53739, 50941, 52066, 51999, 58255, 51069, 51058, 51282, 50978, 51341, 52482, 51616, 51204, 51061, 52256, 50832, 50941, 53673, 52224, 51297, 56107, 51109, 51118, 51051, 51061, 63819, 50867, 61224, 50971, 52260, 60226, 51118, 62977, 51833, 54870, 50971, 52283, 51297, 57703, 50901, 51083, 78011, 51697, 51023, 51884, 51281, 51043, 50816, 50857, 61224, 50907, 52145, 60550, 54072, 68152, 50959, 51118, 51174, 54164, 56630, 50822, 52215, 51297, 50799, 52685, 51238, 51096, 51109, 53707, 51058, 51616, 50987, 51557, 51423, 50832, 52223, 56935, 50959, 51921, 59338, 53707, 51006, 51616, 50987, 53781, 50971, 52111, 61288, 52685, 78647, 51267, 51401, 51058, 51557, 51058, 54322, 51242, 51061, 51481, 51193, 51753, 50816, 50857, 56147, 50941, 51999, 58255, 54072, 50948, 51763, 67484, 50941, 53673, 52224, 61389, 52685, 51073, 50945, 51400, 51616, 51051, 51616, 50878 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 25771, 2214, 4246, 41, 1076, 560, 31365, 25999, 816, 5, 483, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 13305, 6, 8, 38668, 11212, 6, 19, 21072, 1976, 5, 41063, 15796, 4811, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 27841, 139, 20889, 6, 2351, 41, 14816, 5709, 227, 5, 2635, 6, 15352, 30054, 6711, 8, 5, 1769, 12, 20764, 12989, 6, 150, 5, 33215, 16739, 9, 1918, 6, 230, 119, 1176, 406, 6, 8, 272, 3639, 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 ]

[ 50799, 50643, 57528, 50791, 50949, 51544, 50835, 51570, 52725, 51956, 50461, 51410, 51293, 51669, 51151, 67718, 51445, 51303, 51293, 52043, 51293, 52327, 51151, 52807, 51293, 52430, 51671, 55815, 51243, 51895, 50919, 57392, 51249, 79634, 52235, 57821, 53405, 56176, 57831, 53796, 53522, 58574, 53727, 57821, 52680, 54953, 56185, 50907, 52008, 50429, 53727, 57821, 60286, 50920, 54075, 56176, 57162, 53461, 73716, 52235, 59171, 53833, 55942, 52694, 54203, 56176, 59171, 51139, 55454, 56755, 53727, 57821, 53384, 56185, 57162, 53461, 55712, 56377, 53727, 57821, 52680, 53421, 56176, 50907, 51983, 50453, 52235, 57821, 60202, 50920, 54616, 56176, 50984, 67960, 60078, 56185, 50370, 53183, 54119, 52300, 56772, 51476, 51313, 51410, 51445, 51669, 51313, 67718, 51313, 51231, 51313, 51607, 51313, 52043, 51313, 52137, 51671, 54307, 51671, 51895, 51985, 53237, 57392, 52257, 51313, 50417, 51992, 57821, 53405, 53085, 58923, 53796, 55335, 58574, 53727, 50368, 51163, 53522, 54953, 56185, 50984, 52008, 50429, 53727, 64930, 62618, 50920, 54075, 53085, 51123, 67960, 73716, 51992, 59171, 53434, 55454, 52694, 54203, 53085, 59547, 51130, 54493, 55788, 53727, 64930, 53325, 56185, 57162, 53461, 55712, 56377, 53727, 64930, 52707, 53421, 53085, 50984, 52008, 50453, 51992, 57821, 65693, 57297, 50920, 54616, 53085, 50984, 54958, 51985, 52703, 60078, 53727, 68376, 65486, 52703, 56772, 51410, 51445, 51669, 51445, 53447, 51353, 51465, 51313, 51303, 51445, 52043, 51445, 52327, 51313, 52807, 51293, 61406, 51449, 59060, 51449, 57677, 51671, 57541, 51671, 52453, 55454, 50863, 51667, 62192, 51249, 51293, 51667, 60770, 52235, 57821, 53420, 56176, 54419, 53796, 53461, 51004, 51652, 65992, 51652, 54080, 53727, 57821, 52707, 51129, 51667, 51073, 50424, 51667, 72265, 56185, 50907, 52622, 50429, 53727, 57821, 60286, 50920, 54075, 56176, 50907, 67960, 73716, 52235, 59547, 53434, 55942, 52680, 51004, 51652, 66766, 51652, 51724, 56176, 59547, 51130, 55942, 50837, 51667, 66326, 51667, 61772, 53727, 64930, 53325, 56185, 50984, 67960, 55712, 50928, 52135, 59070, 52135, 54672, 53727, 57821, 52680, 50982, 51643, 50807, 50448, 51643, 55082, 56176, 62265, 51187, 60491, 52235, 57821, 60202, 50920, 54616, 56176, 57162, 53461, 60078, 56185, 64698, 67744, 52755, 50891, 51667, 59342, 51667, 62923, 51410, 52151, 51476, 51313, 51669, 51313, 54309, 51151, 51465, 51313, 51231, 51313, 51607, 51293, 52043, 51293, 65854, 51671, 61406, 51671, 59060, 51449, 58065, 51671, 51992, 51432, 53358, 55454, 50863, 51652, 50938, 50415, 52257, 51313, 51652, 50917, 53440, 53405, 53727, 58923, 53796, 53461, 51004, 51667, 60721, 51667, 53184, 56185, 64930, 52707, 51129, 52376, 51896, 50424, 52376, 74612, 53727, 50984, 52008, 50429, 53085, 57821, 62618, 50920, 54075, 51992, 50984, 67960, 73716, 53085, 63907, 53833, 55454, 52694, 54203, 53727, 57064, 51130, 55942, 55788, 56185, 64930, 53594, 53727, 50907, 67960, 55712, 56377, 53085, 57821, 52680, 53421, 51992, 62265, 51044, 61362, 53085, 50368, 51163, 60535, 50920, 54616, 53727, 51000, 68807, 60078, 56185, 64698, 52300, 56772, 51410, 51293, 51669, 51313, 53447, 51151, 51465, 52151, 51303, 51151, 52043, 51151, 52327, 51445, 52807, 51293, 61406, 51449, 59060, 51449, 57677, 51449, 57541, 51671, 53358, 55942, 50870, 51667, 68381, 51249, 51313, 51667, 66147, 52235, 61005, 53738, 56176, 54419, 53796, 54463, 51004, 51652, 73888, 51652, 52296, 53727, 61005, 53522, 51129, 51667, 79818, 51667, 52483, 56185, 50984, 51983, 50429, 53727, 57821, 50870, 52135, 50879, 50430, 70540, 52135, 51736, 56176, 50984, 67960, 73716, 52235, 59171, 53434, 55454, 52680, 51004, 51643, 50807, 50436, 51643, 53912, 56176, 57064, 51392, 55454, 55788, 53727, 57821, 53594, 56185, 55918, 53461, 55712, 56377, 53727, 57821, 52707, 50982, 52135, 71977, 52135, 51757, 56176, 55875, 51187, 50908, 51643, 72982, 51643, 55000, 52235, 64930, 60202, 50920, 54616, 56176, 50907, 67960, 51004, 51633, 61393, 51633, 62355, 56185, 61551, 67744, 52703, 56772, 51476, 51313, 51410, 51293, 51669, 51445, 54309, 51353, 51465, 51313, 51231, 51151, 51607, 51313, 52043, 51313, 65854, 51671, 61406, 51671, 59060, 51671, 58065, 51748, 51992, 51074, 53358, 55454, 50837, 52113, 68381, 52257, 51293, 52113, 50849, 53440, 53738, 53727, 58923, 53796, 54463, 51004, 52372, 65992, 52372, 54080, 56185, 57821, 52707, 51129, 53128, 51095, 50424, 53128, 63963, 53727, 50984, 52622, 50429, 53085, 57821, 61938, 50920, 54075, 51992, 50907, 67960, 51258, 52113, 68484, 52113, 53263, 53085, 59171, 53833, 55942, 52694, 51004, 52372, 51116, 50436, 52372, 78583, 53727, 59547, 51130, 54493, 56432, 56185, 61005, 53325, 53727, 57162, 53461, 55712, 50928, 53128, 65804, 53128, 55932, 53085, 64930, 52680, 53421, 51992, 56444, 51187, 60491, 53085, 57821, 62476, 50920, 54616, 53727, 50941, 67960, 60078, 56185, 60349, 52373, 56772, 51410, 51445, 51669, 51313, 53447, 51151, 51303, 51293, 51465, 51293, 52043, 51313, 52327, 51293, 52807, 51293, 61406, 51671, 59060, 51671, 57677, 51748, 57541, 51671, 53358, 55454, 50863, 51667, 50879, 50415, 51249, 51313, 51667, 55728, 52235, 50368, 51163, 53420, 56176, 66048, 53796, 54463, 51004, 51652, 73888, 51652, 52296, 53727, 64930, 52707, 51129, 51667, 51048, 50424, 51667, 72265, 56185, 50984, 52622, 50429, 53727, 64930, 60286, 50920, 54075, 56176, 50984, 67960, 73716, 52235, 59547, 53816, 55454, 52680, 51004, 51652, 63116, 51652, 52841, 56176, 59171, 51392, 55454, 50837, 51667, 79610, 51667, 60132, 53727, 64930, 53594, 56185, 50984, 68807, 55712, 50928, 52135, 59070, 52135, 53668, 53727, 64930, 52680, 50982, 51643, 50807, 50448, 51643, 55082, 56176, 62265, 51187, 60491, 52235, 57821, 60535, 50920, 54616, 56176, 55918, 53461, 60078, 56185, 60349, 65279, 52790, 50891, 51667, 64333, 51667, 60091, 51410, 51313, 51476, 51293, 51669, 51313, 54309, 51151, 51465, 51313, 51231, 51293, 51607, 51313, 52043, 51445, 65854, 51449, 61406, 51671, 59060, 51449, 58065, 51671, 51992, 51074, 52321, 55942, 50863, 51652, 76586, 52257, 51313, 51652, 50938, 53440, 53738, 53727, 66048, 53796, 54463, 51004, 51667, 65992, 51667, 54080, 56185, 61005, 52680, 51129, 52376, 51623, 50424, 52376, 51591, 50426, 53727, 50907, 52008, 50429, 53085, 64930, 62618, 50920, 54075, 51992, 55918, 55335, 73716, 53085, 59171, 53434, 55454, 52680, 54203, 53727, 59171, 51139, 55454, 55788, 56185, 64930, 53594, 53727, 55918, 53461, 55712, 56377, 53085, 64930, 52680, 53421, 51992, 75070, 51044, 61362, 53085, 64930, 60202, 50920, 54616, 53727, 51000, 67960, 60078, 56185, 64698, 52300, 56772, 51410, 51293, 51669, 51293, 53447, 51293, 51465, 51293, 51303, 51445, 52043, 51293, 52327, 51293, 52807, 51151, 61406, 51449, 59060, 51449, 57677, 51449, 57541, 51449, 52321, 55942, 50837, 51667, 50879, 50415, 51249, 52151, 51667, 60770, 52235, 61005, 53738, 56176, 58923, 53796, 55335, 51004, 51652, 73888, 51652, 52296, 53727, 64930, 53522, 51129, 51667, 50805, 50424, 51667, 53466, 56185, 51123, 52622, 50429, 53727, 64930, 50870, 52135, 50879, 50430, 70540, 52135, 52605, 56176, 50907, 67960, 73716, 52235, 63907, 53434, 55942, 52680, 51004, 51643, 50807, 50436, 51643, 55965, 56176, 59171, 51392, 55454, 55788, 53727, 64930, 53594, 56185, 57162, 53461, 55712, 56377, 53727, 57821, 52680, 50982 ]

[ 0, 250, 8787, 3495, 2125, 11, 272, 538, 6, 42, 15352, 30054, 15229, 7630, 6568, 6453, 9, 657, 8, 26545, 149, 63, 13305, 12, 9756, 9804, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 24, 30853, 23, 10, 16634, 6, 8728, 2877, 6, 4246, 10, 33215, 13931, 9, 3676, 6, 163, 119, 6, 1918, 6, 211, 406, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 50415, 51085, 55085, 51026, 51051, 50425, 50876, 50904, 53523, 50959, 50968, 59545, 50916, 51174, 50436, 50968, 51884, 50861, 53130, 50323, 51178, 50441, 50916, 71715, 50968, 51391, 50861, 51376, 50448, 51062, 63433, 50916, 54026, 50951, 51517, 50292, 53010, 50460, 51430, 51709, 52177, 51026, 51254, 50422, 51062, 52434, 50320, 58753, 51174, 50428, 50916, 54071, 50433, 50902, 61665, 51111, 50951, 65503, 54088, 59419, 52731, 50445, 50968, 76553, 51142, 50861, 58363, 50937, 50451, 51026, 53137, 50900, 51221, 50457, 51085, 51177, 50876, 51286, 54955, 51008, 50419, 50861, 69245, 72891, 67829, 50916, 51470, 50429, 67030, 50430, 65313, 60300, 60299, 50431, 51062, 57869, 50916, 57014, 50902, 53275, 50311, 58813, 51173, 51086, 70636, 51324, 59248, 50900, 51481, 50877, 51060, 72917, 51027, 78721, 55149, 51279, 52731, 50454, 51315, 78970, 57002, 51027, 74623, 68677, 50890, 51809, 50900, 51481, 50422, 50916, 77882, 60147, 50968, 58000, 53535, 50328, 51387, 50428, 50877, 57959, 50902, 52014, 50325, 53318, 50299, 52415, 50304, 50940, 51146, 51138, 50437, 68899, 50442, 50968, 51101, 51050, 51101, 50999, 51006, 50443, 51062, 51588, 50332, 50830, 50448, 70093, 50452, 50900, 73612, 51134, 50968, 51362, 50453, 50999, 51573, 51062, 51091, 50457, 50916, 50866, 50461, 67514, 52478, 61412, 50422, 51062, 50859, 50999, 50894, 74230, 50968, 80038, 50910, 50427, 51027, 59476, 50861, 54342, 50973, 51568, 50287, 51101, 50902, 60693, 79271, 51120, 51051, 50442, 51026, 51051, 64542, 50443, 51220, 67168, 51086, 51101, 50453, 50899, 59977, 50318, 51642, 50454, 51146, 51178, 50459, 50871, 51174, 51809, 50968, 51333, 50418, 51430, 51199, 50861, 54887, 50423, 50973, 68564, 51062, 53177, 50292, 59099, 51026, 64520, 50900, 62780, 50938, 50439, 70584, 50968, 50921, 50443, 50951, 55380, 50861, 53668, 51062, 73623, 56086, 51146, 52035, 50303, 70105, 50923, 50455, 51324, 50962, 50460, 50999, 51911, 50328, 51911, 50289, 52363, 50301, 52169, 50320, 60559, 51419, 52177, 51315, 64987, 51027, 50959, 77095, 62050, 50877, 51965, 50433, 50876, 51295, 50916, 53130, 50320, 51294, 50437, 50900, 50974, 50443, 50916, 50977, 50448, 50900, 75969, 68454, 51214, 50977, 50454, 50951, 73246, 51120, 50874, 54955, 51764, 50327, 71423, 51086, 68655, 51146, 51388, 50421, 60501, 50424, 60192, 50427, 51487, 51235, 50428, 50973, 50894, 50431, 50902, 54125, 51339, 51167, 50973, 53813, 61700, 50442, 70835, 51146, 51460, 50445, 60501, 50449, 51086, 54086, 51220, 51427, 50454, 51026, 51824, 50458, 51120, 50878, 50951, 51162, 58066, 54448, 51085, 52363, 50328, 51124, 50424, 51026, 57250, 50900, 73612, 51191, 50433, 61412, 50437, 51062, 51110, 50861, 50978, 50442, 67946, 50445, 51146, 50936, 50446, 51086, 50942, 50902, 51798, 57660, 50455, 51027, 51172, 50968, 51411, 51062, 52996, 50460, 50916, 51862, 51809, 50999, 51110, 50876, 67252, 51824, 56440, 65553, 56143, 50968, 51014, 64566, 50428, 50916, 52749, 51146, 51936, 50299, 64469, 52362, 50325, 78422, 64566, 50441, 51050, 52098, 50332, 51911, 50325, 51178, 50968, 51253, 50445, 51027, 50866, 50449, 50900, 58229, 50916, 74238, 51062, 51806, 50877, 77082, 51534, 50999, 51124, 52177, 50876, 69647, 64645, 50999, 73724, 50977, 56248, 55477, 51062, 54154, 51214, 50940, 50951, 53318, 50315, 50924, 50436, 51120, 65833, 51026, 70686, 51220, 78438, 50962, 50443, 51086, 79856, 77555, 51146, 50936, 50449, 50931, 75409, 61522, 50459, 51430, 59408, 50959, 50951, 50977, 51601, 50973, 67553, 51220, 51588, 50335, 50917, 50421, 51430, 67795, 50897, 79386, 50425, 51026, 54889, 50900, 52810, 51146, 57659, 64410, 50931, 61170, 58893, 50437, 51062, 51710, 50320, 51014, 50951, 51014, 50440, 50876, 53114, 51220, 53275, 50330, 51033, 50951, 51014, 50902, 52035, 50303, 59981, 51324, 69008, 50968, 68968, 51194, 51279, 73797, 67763, 51027, 50933, 50457, 51315, 51008, 50460, 50876, 61527, 50925, 51027, 50904, 51809, 70223, 50999, 53932, 50999, 64729, 51062, 64607, 50833, 50876, 70197, 60743, 56756, 50902, 52717, 50330, 61347, 67597, 50968, 75676, 50894, 51062, 50821, 51430, 50950, 56014, 79163, 50894, 51339, 79612, 51220, 51455, 50332, 51167, 50437, 51487, 51095, 51315, 52434, 50323, 51111, 50441, 51026, 53103, 51086, 50844, 51220, 51121, 50445, 50951, 50865, 50448, 50916, 64732, 51430, 51158, 50951, 51110, 62958, 50457, 50973, 51051, 50461, 51220, 50959, 51487, 50878, 54594, 79604, 50916, 56818, 51220, 52415, 50299, 66700, 51146, 50897, 53117, 50878, 51339, 50942, 53337, 70258, 50871, 50813, 51814, 75676, 58322, 62958, 51487, 61930, 63038, 79623, 51220, 51158, 51146, 51160, 50443, 73754, 50448, 63475, 51339, 51710, 50327, 64213, 67763, 50861, 57534, 50968, 51775, 50459, 51085, 52363, 50332, 50991, 51601, 79083, 50419, 74094, 51062, 73963, 50916, 72739, 50951, 51204, 59663, 50430, 50916, 63125, 50861, 51058, 59419, 64480, 51086, 51173, 50902, 51354, 50445, 50899, 61841, 50951, 51014, 68929, 50452, 50899, 66851, 50950, 50455, 51220, 59349, 51086, 56388, 51062, 59022, 51026, 50818, 62529, 51033, 50415, 51120, 72746, 51220, 50962, 50422, 51279, 50830, 51062, 51388, 50425, 51315, 75322, 51027, 63269, 51286, 50431, 50900, 53720, 64001, 50968, 51175, 55203, 77376, 63830, 61022, 68121, 54004, 51315, 51314, 51026, 51412, 50973, 51309, 50454, 51086, 74981, 50968, 50897, 50916, 51142, 50461, 51086, 51058, 56807, 69392, 76605, 50916, 69647, 51086, 52415, 50327, 58798, 76605, 50916, 72435, 51086, 51142, 50951, 50948, 50434, 51120, 77244, 51167, 63809, 70430, 50931, 51235, 50899, 62565, 63006, 50451, 61133, 50902, 58325, 50871, 74445, 50877, 67738, 51142, 57956, 51809, 50900, 66423, 50938, 63714, 51242, 50973, 51203, 51214, 57629, 51120, 78336, 51026, 50912, 56437, 50871, 63136, 51086, 51058, 50441, 50902, 52015, 50899, 52192, 50443, 51146, 50918, 50447, 50871, 51058, 75312, 50974, 50460, 50973, 50825, 53069, 51062, 51043, 51085, 50978, 50424, 51026, 51000, 50427, 50968, 51100, 50900, 57531, 64385, 50433, 56437, 50951, 51173, 50436, 59855, 50439, 51062, 51173, 50440, 60569, 50442, 50916, 50854, 68121, 50942, 51430, 51388, 50449, 50916, 79519, 51062, 51060, 50997, 54424, 50916, 54991, 51026, 50854, 50951, 51175, 51601, 50900, 66179, 51315, 50854, 50968, 54007, 57127, 78312, 52370, 50285, 58812, 51085, 59890, 51027, 64189, 51012, 50437, 50900, 68167, 66457, 50877, 51173, 77025, 58638, 51027, 61547, 50967, 50449, 51050, 55007, 50973, 51100, 51214, 62474, 51120, 52134, 50460, 50899, 51604, 50299, 50867, 51809, 51086, 63667, 54569, 55584, 50902, 51481, 50421, 50951, 51242, 64309, 72464, 51220, 50901, 50428, 50999, 55104, 51062, 52559, 51220, 72355, 52262, 51247, 50808, 50999, 53194, 50321, 58818, 51085, 61173, 75111, 51027, 71808, 61189, 50900, 69300, 50871, 65673, 51339, 77698, 75593, 63602, 50900, 54900, 73057, 51027, 54678, 51050, 58077, 50999, 51045, 51809, 51197, 50925, 50951, 50921, 51026, 78217, 50997, 54878, 61700, 50422, 50956, 56133, 50906, 53939, 51001, 62053, 63432, 50906, 66084, 50951, 58877, 51001, 52059, 50435, 51081, 51014, 50440, 51405, 50940, 50951, 67235, 51247, 57722, 50830, 50877, 71236, 50931, 50894, 50454, 51085, 62223, 51027, 69688, 50894, 50951, 57308, 50900, 50867, 56229, 79594, 71610, 62282, 67431, 58172, 50900, 53066, 50999, 51014, 51062, 50940, 74230, 69593, 51027 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 21979, 8669, 6, 21072, 6, 31391, 1672, 9590, 6, 8, 33704, 5675, 22052, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 9, 10572, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 83, 6, 272, 6, 211, 6, 83, 6, 8, 272, 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 ]

[ 67004, 53366, 50795, 68946, 64227, 73201, 51137, 51364, 52553, 53576, 52176, 50795, 68946, 64227, 51429, 51370, 52870, 51869, 50795, 68946, 64227, 51429, 57172, 51253, 55347, 56670, 76322, 50935, 69558, 53483, 50807, 78261, 51494, 50807, 78582, 69436, 52553, 53116, 51181, 51364, 52553, 53041, 52176, 50807, 78261, 51494, 50807, 78582, 63350, 50946, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 51964, 50918, 51280, 50807, 51232, 50807, 51099, 52221, 75484, 54309, 51364, 52553, 53576, 51280, 50983, 51232, 50983, 51099, 50983, 64612, 67591, 55347, 56670, 50909, 51109, 51149, 69558, 52176, 70286, 50924, 52553, 53116, 52176, 50918, 78261, 51494, 50807, 78582, 51181, 51364, 52553, 72796, 53083, 78261, 51494, 50807, 51119, 55541, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 52553, 50841, 71803, 50795, 68946, 64227, 73201, 51137, 51364, 52553, 53576, 52176, 50795, 68946, 64227, 51429, 51370, 52870, 51869, 50795, 68946, 64227, 51429, 57172, 51253, 55347, 56670, 76322, 50935, 69558, 53483, 50807, 78261, 51494, 50807, 78582, 69436, 52553, 53116, 51181, 51364, 52553, 53041, 52176, 50807, 78261, 51494, 50807, 78582, 63350, 50946, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 51964, 50918, 51280, 50807, 51232, 50807, 51099, 52221, 75484, 54309, 51364, 52553, 53576, 51280, 50983, 51232, 50983, 51099, 50983, 64612, 67591, 55347, 56670, 50909, 51109, 51149, 69558, 52176, 70286, 50924, 52553, 53116, 52176, 50918, 51198, 50918, 51494, 50918, 51119, 50918, 51181, 51364, 52553, 72796, 53083, 65336, 55347, 56688, 51007, 51109, 51840, 77948, 52553, 50841, 71803, 50795, 51429, 50983, 51275, 50983, 51137, 51364, 51565, 51428, 51041, 53576, 52176, 50795, 51565, 51370, 52870, 51869, 50795, 51565, 57172, 51253, 55347, 56670, 76322, 50935, 69558, 53483, 50807, 51119, 50918, 51275, 50918, 52070, 50918, 69436, 52083, 52221, 51041, 53116, 51181, 51364, 52553, 53041, 52176, 50807, 51596, 51370, 53083, 51596, 54572, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 51964, 50918, 51099, 50983, 51153, 50983, 51275, 50983, 51596, 52221, 75484, 54309, 51364, 52553, 53576, 51789, 51370, 52870, 51099, 78922, 51489, 50807, 51789, 55278, 51253, 55347, 56670, 50909, 51109, 51149, 69558, 51964, 70286, 50924, 52553, 53116, 52176, 50918, 51099, 50983, 51153, 50983, 51489, 50983, 51338, 51364, 51789, 52221, 51041, 72796, 53083, 67591, 55347, 56688, 50909, 51109, 51149, 77948, 61565, 51596, 51428, 75484, 71803, 50795, 51429, 50983, 51275, 50983, 51137, 51364, 51565, 51428, 51041, 53576, 52176, 50795, 51565, 51370, 52870, 51869, 50795, 51565, 57172, 51253, 55347, 56670, 76322, 50935, 69558, 53483, 50807, 51119, 50918, 51275, 50918, 52070, 50918, 69436, 52083, 52221, 51041, 53116, 51181, 51364, 52553, 53041, 52176, 50807, 51789, 51370, 53083, 51596, 53006, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 51964, 50918, 51099, 50983, 51153, 50983, 51275, 50983, 51596, 50983, 52553, 50841, 54309, 51364, 52553, 62456, 52870, 51099, 78922, 51489, 50807, 51789, 50918, 67591, 55347, 56670, 50909, 51109, 51149, 69558, 51964, 70286, 50924, 52553, 53116, 52176, 50918, 51099, 50983, 51153, 50983, 51489, 50983, 51338, 51364, 52553, 72796, 53083, 67591, 55347, 56688, 50909, 51109, 51149, 77948, 61565, 51596, 51428, 75484, 71803, 50795, 51429, 50983, 51275, 50983, 51137, 51364, 51565, 51428, 51041, 53576, 52176, 50795, 51565, 51370, 52870, 51869, 50795, 51565, 57172, 51253, 55347, 56670, 76322, 50935, 69558, 53483, 50807, 51119, 50918, 51275, 50918, 52070, 50918, 69436, 52083, 52221, 51041, 53116, 51181, 51364, 52553, 53041, 52176, 50807, 51789, 51370, 53083, 51596, 54572, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 51964, 50918, 51099, 50983, 51153, 50983, 51275, 50983, 51596, 52221, 75484, 54309, 51364, 52553, 53576, 51789, 51370, 52870, 51099, 78922, 51489, 50807, 51789, 55278, 51253, 55347, 56670, 50909, 51109, 51149, 69558, 51964, 70286, 50924, 52553, 53116, 52176, 50918, 51099, 50983, 51153, 50983, 51489, 50983, 51338, 51364, 51789, 52221, 51041, 72796, 53083, 52182, 55990, 51253, 55347, 56688, 50909, 51109, 51149, 77948, 61565, 52182, 51428, 75484, 71803, 50795, 51429, 50983, 51275, 50983, 51137, 51364, 51565, 51428, 51041, 53576, 52176, 50795, 51565, 51370, 52870, 51869, 50795, 51565, 56378, 51253, 55347, 56670, 76322, 50935, 69558, 53483, 50807, 51119, 50918, 51275, 50918, 52070, 50918, 69436, 52553, 53116, 51181, 51364, 52083, 51428, 78361, 52176, 50807, 51789, 51370, 53083, 51596, 53006, 51253, 55347, 56688, 51007, 51109, 51840, 77948, 51964, 50918, 51099, 50983, 51153, 50983, 51275, 50983, 51596, 50983, 52553, 50841, 54309, 51364, 52553, 62456, 52870, 51099, 51358, 51153, 51358, 51489, 51358, 51789, 50918, 67591, 55347, 56670, 50909, 51109, 51149, 69558, 51964, 70286, 50924, 52553, 53116, 51964, 50983, 51338, 51364, 52553, 72796, 53083, 67591, 55347, 56688, 50909, 51109, 51149, 77948, 51964, 50807, 51280, 50807, 51494, 50807, 51099, 52221, 75484, 54309, 51364, 54933, 53829, 51964, 50807, 51280, 50807, 51232, 50807, 51099, 52959, 53150, 79605, 55347, 57982, 50909, 51056, 51149, 51157, 50432, 51280, 50807, 51494, 50807, 71269, 51338, 54762, 50884, 54683, 50924, 52902, 57560, 53114, 51280, 50807, 51232, 50807, 71269, 51137, 50822, 50847, 57511, 60545, 70863, 53528, 51349, 64817, 52743, 51137, 56566, 58649, 51056, 51149, 51157, 51289, 54085, 51289, 53217, 64227, 51137, 50845, 52182, 55990, 67614, 54026, 51289, 50825, 50799, 58001, 50918, 51099, 50983, 51429, 50983, 51516, 50983, 51374, 51343, 51565, 55990, 51359, 58091, 53983, 51041, 55927, 58091, 53728, 52083, 58190, 51056, 58091, 51589, 54477, 58091, 52921, 51789, 50795, 51149, 51141, 58091, 61319, 51041, 55739, 58091, 53193, 51099, 50918, 51429, 50918, 51489, 50918, 51374, 50948, 51789, 72523, 51218, 58091, 53835, 51041, 54665, 58091, 52691, 58001, 50918, 51374, 51343, 51439, 51446, 58091, 53835, 51041, 55384, 58091, 53743, 52083, 50795, 51149, 51157, 58091, 51589, 54926, 58091, 53140, 51565, 58190, 50943, 58091, 61319, 51041, 55647, 58091, 53820, 51119, 50918, 51777, 50918, 51516, 50918, 51565, 50807, 51149, 50805, 58091, 53835, 51041, 54814, 58091, 50822, 50799, 56686, 50918, 51349, 51343, 51017, 51359, 55846, 53983, 51041, 55927, 55846, 53728, 52083, 55990, 51056, 55846, 51589, 54477, 55846, 52921, 51789, 53006, 51141, 55846, 61319, 51041, 55739, 55846, 53193, 51119, 50918, 51777, 50918, 51489, 50918, 51349, 50948, 51789, 55278, 51218, 55846, 53835, 51041, 54665, 55846, 52691, 56686, 50918, 51349, 51343, 51125, 51446, 55846, 53835, 51041, 55384, 55846, 53743, 51789, 53006, 51157, 55846, 51589, 54926, 55846, 53140, 52083, 55990, 50943, 55846, 61319, 51041, 55647, 55846, 53820, 51153, 50918, 51489, 50918, 51516, 50918, 51565, 55541, 50805, 55846, 53835, 51041, 54814, 55846, 50822, 58637, 50918, 51416, 51343, 50868, 51359, 55045, 53983, 51041, 55927, 55045, 53728, 51565, 55990, 51056, 55045, 51589, 54477, 55045, 52921, 51565, 59192, 51141, 55045, 61319, 51041, 55739, 55045, 53193, 51153, 50918, 51489, 50918, 51516, 50918, 51416, 50948, 51565, 55278, 51218, 55045, 53835, 51041, 54665, 55045, 52691, 51964, 50918, 51416, 51343, 51149, 51446, 55045, 53835, 51041, 55384, 55045, 53743, 52083, 59192, 51157, 55045, 51589, 54926 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 10, 19834, 16464, 6, 4246, 41, 21979, 8669, 4, 85, 18, 11, 155, 73, 306, 86, 6543, 8, 34, 10, 7212, 20889, 9, 5663, 741, 1685, 4, 20, 2214, 16, 11, 5, 762, 9, 163, 428, 3694, 8, 24536, 10, 33215, 16739, 9, 12608, 119, 6, 2060, 406, 6, 8, 230, 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, 0, 0, 0, 0 ]

[ 80054, 51018, 51018, 80054, 50931, 51189, 51257, 51364, 51131, 50874, 51131, 50866, 51273, 51486, 50801, 51803, 50417, 50960, 55869, 66805, 69999, 50970, 66700, 50947, 54325, 51131, 50827, 51131, 50977, 78672, 50903, 50862, 52558, 50429, 50960, 55100, 50968, 77179, 64667, 63232, 50970, 73187, 50947, 54793, 50902, 67276, 50879, 51131, 50827, 51131, 67820, 50903, 52873, 58545, 50960, 54947, 75022, 56696, 66805, 63232, 50970, 50978, 50447, 63183, 51034, 50906, 51364, 50939, 51364, 51207, 50874, 51207, 67820, 51098, 51538, 50801, 51452, 50417, 51246, 55869, 70748, 51246, 50987, 50960, 66700, 50929, 54325, 51207, 73169, 50977, 69311, 50903, 52873, 57050, 51246, 55100, 50876, 59092, 50805, 62212, 51246, 50978, 63232, 50435, 50929, 54793, 50902, 63650, 50805, 51207, 73169, 50866, 63124, 69390, 59138, 51246, 54947, 50931, 50795, 68395, 70748, 51246, 50978, 63232, 50447, 68236, 51034, 50968, 50983, 51149, 50983, 51207, 50874, 51207, 50866, 63124, 51461, 51538, 50801, 51790, 50417, 51246, 55869, 64268, 51246, 50987, 50986, 66700, 50998, 54325, 51207, 73169, 50977, 74245, 77452, 57860, 51246, 55100, 50902, 71899, 50893, 62459, 51246, 50978, 50986, 73187, 50998, 54793, 50876, 62289, 50893, 51207, 73169, 50866, 68583, 60375, 59356, 51246, 54947, 50906, 62507, 50879, 64268, 51246, 50978, 50986, 50978, 50447, 63045, 51034, 50877, 51358, 50850, 51358, 51504, 50874, 51504, 50866, 68583, 51140, 65501, 51452, 50417, 51131, 55869, 64268, 51131, 50987, 50986, 66700, 50970, 54325, 51504, 50827, 51504, 50977, 70850, 77452, 58519, 51131, 55100, 62459, 51131, 50978, 50986, 73187, 50970, 54793, 51504, 50827, 51504, 50866, 65899, 51560, 67638, 50862, 52558, 50441, 51131, 54947, 64268, 51131, 50978, 50986, 50978, 50447, 51136, 50912, 51034, 50902, 51364, 51007, 51364, 51246, 50874, 51246, 50866, 51136, 50866, 52157, 51538, 50801, 51452, 50417, 50960, 55869, 66805, 69999, 50970, 66700, 51064, 54325, 51246, 50827, 51246, 50977, 51064, 50977, 59193, 57860, 50960, 55100, 50876, 62289, 50893, 64667, 63232, 50970, 73187, 51064, 54793, 50906, 55599, 50795, 51246, 50827, 51246, 50866, 68424, 50903, 53340, 59356, 50960, 54947, 50877, 56263, 50879, 66805, 63232, 50970, 50978, 50447, 72318, 51034, 74367, 50847, 51141, 51207, 50874, 51207, 50866, 68424, 51098, 51538, 50801, 51742, 50417, 51246, 55869, 70748, 51246, 50987, 50960, 66700, 50929, 54325, 51207, 73169, 50977, 69311, 50903, 53340, 57860, 51246, 55100, 50877, 56678, 50805, 62212, 51246, 50978, 63232, 50435, 50929, 54793, 50906, 50938, 71536, 51207, 73169, 50866, 63124, 50903, 53340, 59356, 51246, 54947, 50902, 60613, 70748, 51246, 50978, 63232, 50447, 68236, 51034, 51028, 51141, 51125, 51141, 51131, 50874, 51131, 50866, 63124, 51216, 51538, 50801, 51742, 50417, 51317, 55869, 59664, 51317, 50987, 50998, 66700, 50929, 54325, 51131, 50827, 51131, 50977, 69311, 50903, 50862, 51892, 50429, 51317, 55100, 50906, 62507, 50879, 57573, 51317, 50978, 50998, 73187, 50929, 54793, 50877, 54716, 51131, 50827, 51131, 50866, 63124, 50903, 50855, 52558, 50441, 51317, 54947, 50861, 55914, 59664, 51317, 50978, 50998, 50978, 50447, 68236, 71213, 51336, 50872, 51336, 51131, 50874, 51131, 50866, 63124, 51273, 65501, 51790, 50417, 50960, 55869, 66805, 69999, 50970, 66700, 50947, 54325, 51131, 50827, 51131, 50977, 78672, 77452, 56789, 50960, 55100, 64667, 63232, 50970, 73187, 50947, 54793, 50989, 51013, 50944, 51013, 66253, 51078, 67820, 51461, 67638, 53340, 59356, 50960, 54947, 64268, 50986, 50978, 63232, 50447, 51131, 50912, 76898, 56625, 50879, 51246, 50874, 51131, 50866, 51246, 71922, 51538, 50801, 51790, 50417, 50960, 55869, 50902, 67276, 50879, 67325, 69999, 50929, 66700, 51064, 54325, 50902, 51977, 51007, 51977, 51207, 73169, 50977, 51064, 50977, 50903, 53340, 57860, 51246, 55100, 62212, 51246, 50978, 63232, 50435, 50929, 54793, 51207, 73169, 50866, 63124, 50903, 52873, 59356, 51246, 54947, 70748, 51246, 50978, 63232, 50447, 68236, 51034, 51574, 50874, 51574, 50866, 63124, 51461, 51538, 50801, 51452, 50417, 51207, 55869, 51246, 50822, 51246, 50987, 51207, 62149, 50986, 54325, 50931, 51016, 51257, 51016, 51207, 73169, 50942, 63896, 50903, 52217, 59399, 51246, 55100, 62459, 50986, 50959, 51246, 73187, 50998, 54793, 50968, 50807, 51149, 50807, 51207, 73169, 50866, 68583, 64892, 56714, 51246, 54947, 64268, 51246, 50978, 50986, 50978, 50447, 63045, 78031, 54527, 50909, 54527, 51504, 50874, 51504, 50866, 68583, 51140, 51538, 50801, 51742, 50417, 51131, 55869, 64268, 51131, 50987, 50986, 66700, 50970, 54325, 51504, 50827, 51504, 50977, 70850, 69122, 57250, 51131, 55100, 62459, 51131, 50978, 50986, 73187, 50970, 54793, 51504, 50827, 51504, 50866, 65899, 69390, 58545, 51131, 54947, 64268, 50986, 50978, 51131, 61554, 68860, 80056, 50874, 51131, 50878, 60918, 51140, 51538, 50801, 51452, 50417, 50986, 55869, 66805, 50970, 50955, 50986, 62149, 50947, 54325, 67395, 50986, 50942, 58993, 50903, 53340, 57250, 50970, 55100, 58985, 50947, 50959, 50970, 60282, 51032, 54793, 50916, 55787, 50807, 62891, 76337, 60265, 64892, 56714, 50947, 54947, 75423, 51032, 50959, 50947, 50978, 50447, 51438, 50912, 71213, 58521, 50879, 51207, 50874, 51207, 50866, 51438, 71922, 51538, 50801, 51452, 50417, 51246, 55869, 50906, 55599, 50795, 70748, 51246, 50987, 50960, 66700, 50929, 54325, 50906, 51896, 50939, 51896, 51207, 73169, 50977, 69311, 50903, 52873, 57860, 51246, 55100, 62212, 51246, 50978, 63232, 50435, 50929, 54793, 51207, 73169, 50866, 63124, 69122, 59356, 51246, 54947, 70748, 63232, 51246, 61554, 68236, 51034, 51246, 50874, 51246, 50878, 63124, 51461, 51538, 50801, 51742, 50417, 50986, 55869, 59664, 70437, 50998, 66700, 50929, 54325, 50902, 51016, 51007, 51016, 51246, 50827, 51246, 50977, 69311, 50903, 52873, 58519, 50986, 55100, 57573, 50986, 50978, 50998, 73187, 50929, 54793, 50876, 51016, 72985, 51246, 50827, 51246, 50866, 63124, 50903, 50862, 52558, 50441, 50986, 54947, 59664, 50986, 50978, 50998, 50978, 50447, 68236, 51034, 50906, 50896, 50939, 51013, 51504, 50874, 51504, 50866, 63124, 52157, 57130, 51452, 50417, 51246, 55869, 51317, 50822, 51246, 50987, 51317, 66700, 50970, 54325, 50877, 53898, 50850, 52382, 51131, 50827, 50970, 50942, 51131, 50977, 51140, 51077, 50903, 53111, 58519, 50986, 55100, 64667, 50970, 50959, 50986, 73187, 50947, 54793, 51504, 50827, 51504, 67820, 69390, 59138, 51131, 54947, 64268, 51131, 50978, 50986, 50978, 50447, 68860, 51034, 51574, 50874, 51574, 50866, 65899, 51493, 65501, 51452, 50417, 51207, 55869, 66315, 51207, 50955, 51311, 66700, 50998, 54325, 51207, 73169, 50977, 60419, 50903, 50862, 51892, 50429, 51311, 55100, 57573, 50998, 50959, 51311, 73187, 50929, 54793, 51131, 50827, 51131, 50866, 63124, 51216, 67638, 52675, 58545, 51317, 54947, 59664, 51317, 50978, 50998, 50978, 50447, 68236, 51034, 50931, 51274, 51257, 51364, 58985, 50929, 67820, 51273, 51538, 52487, 51318, 50801, 51790, 50417, 50970, 55869, 70748, 69999, 50970, 66700, 51131, 54325, 62458, 51131, 50977, 78672, 50903, 53340, 57860, 50970, 55100, 50968, 50806, 51149, 50806, 62212, 63232, 50970, 50978, 51926, 60282, 51131, 54793, 50902, 51972, 50318, 50911, 62458, 51131, 67820, 51690, 50866, 69390, 59138, 68860, 50443, 51733, 73971, 50876, 68185, 50911, 70748 ]

[ 0, 250, 765, 6, 1372, 3495, 2214, 19, 15855, 16882, 6, 4246, 17691, 28430, 6, 13305, 6, 8, 1021, 5901, 1243, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 231, 73, 398, 86, 6543, 6, 24, 11498, 10, 38451, 3938, 20889, 4, 20, 15229, 7630, 6568, 6453, 9, 657, 8, 9884, 6, 2351, 10, 19448, 5466, 10686, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50628, 50474, 52186, 77979, 74701, 55677, 50807, 51540, 52186, 50918, 65829, 50918, 51687, 50918, 55677, 56039, 51784, 77979, 74701, 55677, 52728, 51784, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 52173, 77979, 50807, 52303, 50807, 55677, 50807, 51540, 52173, 51161, 65829, 51161, 52303, 51161, 55677, 77481, 51784, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 52278, 77979, 50807, 52303, 50807, 55677, 50807, 51540, 52186, 50918, 65829, 50918, 51687, 50918, 55677, 56039, 52186, 77979, 74701, 55677, 52728, 51784, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 51784, 77979, 74701, 55677, 50807, 51540, 52278, 52382, 50730, 50307, 52382, 52303, 52382, 55677, 52382, 50474, 52186, 77979, 74701, 55677, 50807, 51540, 51950, 50918, 65621, 50918, 51231, 50918, 52027, 56039, 51950, 55405, 50314, 50807, 71217, 52027, 52728, 51950, 50918, 74489, 50918, 51231, 50918, 51614, 77747, 51802, 55405, 50315, 50807, 71217, 51614, 50807, 51540, 52173, 51161, 58202, 51161, 51231, 51161, 51774, 77481, 51784, 50918, 65829, 50918, 51687, 50918, 51774, 77747, 51900, 77979, 70977, 51774, 50807, 51540, 52173, 50918, 63514, 50918, 51303, 50918, 53369, 56039, 52173, 55405, 50313, 70977, 53369, 52728, 51802, 50918, 63514, 50918, 51687, 50918, 53369, 77747, 51950, 55405, 50313, 74701, 53369, 50807, 51540, 51802, 52382, 70826, 52382, 51410, 52382, 52557, 52382, 50474, 52186, 78295, 79364, 50807, 52557, 50807, 51540, 52186, 50918, 65829, 50918, 51687, 50918, 55677, 56039, 51784, 77979, 74701, 55677, 52728, 51784, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 52173, 77979, 50807, 52303, 50807, 55677, 50807, 51540, 52173, 51161, 65829, 51161, 52303, 51161, 55677, 77481, 51784, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 52278, 77979, 50807, 52303, 50807, 55677, 50807, 51540, 52186, 50918, 65829, 50918, 51687, 50918, 55677, 56039, 52186, 77979, 74701, 55677, 52728, 51784, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 51784, 77979, 74701, 55677, 50807, 51540, 52278, 52382, 50730, 50307, 52382, 52303, 52382, 55677, 52382, 50474, 52278, 55405, 50307, 50807, 52303, 50807, 55677, 50807, 51540, 52714, 50918, 50730, 50307, 50918, 52326, 50918, 53369, 56039, 52278, 55405, 50307, 50807, 52303, 50807, 53369, 52728, 52355, 50918, 68150, 50918, 51476, 50918, 53369, 77747, 52186, 55405, 50309, 79364, 50807, 53369, 50807, 51540, 51784, 78295, 74701, 53369, 52910, 51802, 50918, 70826, 50918, 51687, 50918, 53369, 56811, 51802, 50918, 70826, 50918, 51687, 50918, 53369, 77747, 52173, 78295, 50807, 71217, 53369, 50807, 51540, 51900, 51161, 63514, 51161, 51303, 51161, 53369, 77481, 51784, 51161, 63514, 51161, 51687, 51161, 53369, 51161, 51540, 52186, 52382, 65621, 52382, 51410, 52382, 52557, 52382, 50474, 52186, 55405, 50314, 50807, 51540, 51950, 52382, 65621, 52382, 50438, 51687, 50807, 55677, 52728, 51687, 50918, 55677, 77747, 52186, 55405, 50314, 50807, 51540, 51950, 52382, 65621, 56039, 58202, 74701, 55677, 52728, 50730, 50317, 50918, 51687, 50918, 55677, 77747, 51802, 55405, 50317, 74701, 52769, 50807, 51540, 52173, 50918, 58202, 50918, 51687, 50918, 54632, 56039, 52173, 55405, 50316, 74701, 54632, 52728, 51802, 78295, 50918, 51476, 50918, 54632, 50918, 50462, 52173, 59369, 51784, 78295, 74701, 54632, 50807, 51540, 52186, 52382, 65829, 52382, 51687, 52382, 55677, 52382, 50474, 52186, 77979, 74701, 55677, 50807, 51540, 52186, 50918, 65829, 50918, 51410, 50918, 52557, 56039, 52926, 55405, 50309, 79364, 50807, 52557, 52728, 52926, 50918, 68150, 50918, 51410, 50918, 52557, 77747, 51784, 78295, 79364, 50807, 52557, 50807, 51540, 51784, 50918, 70826, 50918, 51687, 50918, 55677, 56039, 52186, 77979, 74701, 55677, 52728, 52186, 50918, 65829, 50918, 51687, 50918, 55677, 77747, 52173, 55405, 50314, 50807, 71217, 55677, 50807, 51540, 52173, 50918, 63514, 50918, 51303, 50918, 53369, 56039, 52173, 55405, 50313, 70977, 53369, 52728, 51784, 55405, 50313, 50918, 51303, 50918, 53369, 50918, 50462, 51900, 59369, 52173, 55405, 50313, 74701, 53369, 50807, 51540, 51802, 52382, 70826, 52382, 51410, 52382, 52557, 52382, 50474, 52186, 55405, 50314, 50807, 51540, 51950, 52382, 65621, 52382, 50438, 51687, 50807, 55677, 52728, 51687, 50918, 55677, 77747, 52186, 55405, 50314, 50807, 51540, 51950, 52382, 65621, 56039, 58202, 74701, 55677, 52728, 50730, 50317, 50918, 51687, 50918, 55677, 77747, 51802, 55405, 50317, 74701, 52769, 50807, 51540, 52173, 50918, 58202, 50918, 51651, 50918, 54632, 56039, 52173, 55405, 50316, 50807, 51651, 50807, 54632, 52728, 51802, 50918, 58202, 50918, 51687, 50918, 54632, 77747, 53101, 55405, 50316, 79260, 50807, 54632, 50807, 51540, 51950, 52382, 74489, 52382, 51410, 52382, 52769, 52382, 50474, 51950, 55405, 50315, 79364, 50807, 52769, 50807, 51540, 51950, 50918, 65621, 50918, 51465, 50918, 51774, 56039, 51950, 55405, 50314, 50807, 51465, 50807, 51774, 52728, 52933, 50918, 58202, 50918, 51465, 50918, 51774, 77747, 51950, 55405, 50314, 50807, 51465, 50807, 51774, 50807, 51540, 51950, 50918, 63514, 50918, 51303, 50918, 53369, 56039, 51802, 55405, 50313, 70977, 53369, 52728, 51784, 51036, 70826, 51036, 51303, 51036, 53369, 51036, 75196, 52173, 55405, 50316, 50807, 51719, 50807, 54632, 52424, 52624, 50918, 63104, 50918, 51231, 50918, 52557, 50918, 50462, 51950, 55405, 50314, 74701, 52557, 59369, 51802, 50918, 70826, 50918, 51410, 50918, 52557, 50918, 75196, 52173, 77979, 50807, 52303, 50807, 55677, 52424, 52173, 51492, 65829, 51492, 52303, 51492, 55677, 51492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 1769, 12, 20764, 5175, 2214, 11, 230, 538, 6, 4246, 41, 21979, 8669, 816, 10, 15352, 30054, 8, 17627, 17274, 4782, 4, 20, 1349, 34, 10, 2365, 8, 33558, 619, 6, 442, 24, 10686, 13, 304, 11, 10, 19834, 4, 20, 1049, 33215, 16739, 25935, 1626, 227, 274, 8, 230, 1328, 5, 2125, 6, 61, 16, 11, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50796, 50461, 50885, 51111, 51164, 51073, 51504, 51226, 50986, 51095, 52894, 55755, 52816, 51903, 63607, 50795, 50970, 51158, 50947, 51192, 55997, 50870, 52111, 60931, 50885, 50893, 50986, 70266, 51525, 54200, 54724, 52100, 50837, 51257, 65396, 50795, 51649, 62898, 51192, 50970, 51175, 50947, 51173, 53782, 51792, 50870, 51649, 50936, 51257, 51226, 51504, 50952, 52224, 57892, 51332, 50807, 51725, 51054, 54683, 50983, 71996, 63117, 50940, 57988, 51649, 51354, 50998, 51167, 50929, 51215, 67345, 68697, 71716, 52283, 53003, 51525, 54200, 54724, 52100, 64358, 50840, 51439, 51138, 59792, 68241, 50929, 54139, 50801, 59644, 78871, 51064, 51603, 50970, 75581, 51727, 50983, 55494, 51149, 50937, 51439, 51021, 74363, 52021, 51538, 50960, 51192, 53271, 51941, 51246, 51356, 52215, 50870, 51755, 52816, 51903, 50837, 51149, 51175, 51439, 51379, 55997, 60621, 61358, 50836, 72946, 51525, 54200, 54724, 52100, 67162, 50821, 59073, 51007, 51021, 51257, 51030, 50970, 51496, 51067, 68029, 51727, 60761, 52275, 50870, 51257, 51045, 69943, 51007, 50936, 51064, 51227, 50960, 51192, 52224, 50870, 51450, 51903, 50837, 51007, 51354, 51257, 51354, 50444, 51727, 51650, 51877, 60621, 73627, 50809, 50960, 50887, 52283, 60145, 51725, 51048, 50986, 77225, 51338, 50807, 51525, 54200, 54724, 52100, 50870, 50909, 50936, 51149, 78784, 51427, 78000, 50998, 51055, 50929, 51016, 50453, 50801, 52579, 55494, 51332, 57638, 51021, 51149, 50860, 52215, 57015, 51164, 51073, 51504, 51226, 50986, 50967, 52894, 55755, 52816, 51903, 63607, 58541, 51100, 50909, 51192, 51149, 51167, 50970, 51158, 50947, 51192, 55997, 50870, 52111, 60931, 50885, 50879, 50986, 70006, 51525, 54200, 54724, 52100, 74568, 65396, 65520, 62898, 51173, 50970, 51175, 50947, 51158, 53782, 51792, 50870, 50939, 50948, 51007, 50924, 51504, 50830, 52224, 57892, 51332, 50807, 51725, 51054, 54683, 50983, 71996, 63117, 50921, 64017, 50939, 51286, 51007, 51192, 50998, 51167, 50929, 51215, 67345, 51949, 62170, 51111, 50986, 50830, 52283, 53003, 51525, 54200, 54724, 52100, 64358, 58243, 50924, 50909, 50948, 68241, 50929, 58045, 50801, 59644, 78871, 51064, 51500, 50970, 51345, 50456, 51727, 50983, 55494, 50850, 50924, 50909, 72201, 51167, 52021, 51538, 50960, 51192, 53271, 51941, 51246, 51356, 52215, 50870, 51755, 52816, 51903, 63607, 51388, 50909, 51158, 55997, 60621, 50840, 72946, 51525, 54200, 54724, 52100, 67162, 64558, 50950, 64017, 50939, 51030, 50970, 51274, 51067, 54684, 51727, 60761, 52275, 50870, 60001, 62457, 69943, 71536, 51064, 51227, 50960, 51192, 52224, 50870, 51450, 51903, 74568, 51021, 50847, 55885, 51727, 51650, 51877, 60621, 73627, 61952, 62289, 50805, 50960, 50887, 52283, 60145, 51725, 51048, 50986, 69556, 51338, 50807, 51525, 54200, 54724, 52100, 62170, 51427, 78000, 50998, 51290, 50929, 51013, 50453, 50801, 52579, 55494, 51332, 62812, 51286, 50909, 51388, 52215, 57015, 51164, 51073, 51504, 51362, 50986, 51095, 52894, 55755, 52816, 51903, 63607, 58541, 51111, 50970, 51060, 50947, 51286, 55997, 50870, 72609, 50806, 52111, 60931, 50885, 50893, 50986, 64002, 51525, 54200, 54724, 52100, 64780, 56244, 60014, 59274, 51192, 50970, 51167, 50947, 51158, 53782, 51792, 50870, 51504, 50952, 52224, 57892, 51332, 50807, 51725, 51054, 54683, 50983, 71996, 63117, 50921, 57988, 50847, 51454, 50939, 51054, 50998, 51167, 50929, 51215, 67345, 51949, 62032, 51100, 71716, 52283, 53003, 51525, 54200, 54724, 52100, 64358, 63915, 50924, 50847, 50806, 68241, 50929, 58045, 50801, 59644, 78871, 51064, 51603, 50970, 51345, 50456, 51727, 50983, 55494, 57988, 50939, 50936, 50848, 51167, 52021, 51538, 50960, 51192, 53271, 51585, 51246, 51196, 52215, 50870, 51755, 52816, 51903, 64780, 62507, 52115, 63850, 50872, 56754, 64273, 51505, 72946, 51525, 54200, 54724, 52100, 67162, 71035, 50950, 50970, 51274, 51067, 68029, 51727, 60761, 52275, 60621, 50917, 78115, 58886, 51460, 51064, 51227, 50960, 51173, 52224, 50870, 51450, 51903, 53027, 51727, 51650, 51877, 60621, 72305, 61056, 51033, 50960, 50887, 52283, 60145, 51725, 51048, 50986, 77225, 51338, 50807, 51525, 54200, 54724, 52100, 50870, 51257, 51021, 51649, 51138, 50868, 51160, 50847, 51235, 50998, 51055, 50929, 51016, 50453, 50801, 52579, 55494, 51649, 50860, 51257, 50824, 52215, 57015, 50885, 51060, 51164, 51073, 51504, 51226, 50986, 50967, 52894, 55755, 52816, 51903, 63607, 54891, 51060, 51649, 51388, 50970, 51060, 50947, 51192, 55997, 50870, 52111, 60931, 50885, 50893, 50986, 64002, 51525, 54200, 54724, 52100, 63607, 51424, 50320, 50795, 51439, 62898, 51173, 50970, 51175, 50947, 51158, 53782, 51792, 50870, 51164, 68480, 50917, 51439, 50924, 51504, 50830, 52224, 57892, 51332, 50807, 51725, 51054, 54683, 50983, 71996, 63117, 50940, 64017, 51149, 51505, 51439, 51388, 50998, 51167, 50929, 51215, 67345, 51949, 62170, 51100, 79291, 52283, 53003, 51525, 54200, 54724, 52100, 64358, 59072, 50936, 51257, 50936, 68241, 50929, 58045, 50801, 59644, 50872, 51095, 51064, 51603, 50970, 75581, 51727, 50983, 55494, 51007, 50924, 51257, 50936, 74363, 50960, 51173, 53271, 51941, 51246, 51196, 52215, 50870, 51755, 52816, 51903, 50837, 51007, 51972, 50321, 50879, 55997, 60621, 61671, 50836, 72946, 51525, 54200, 54724, 52100, 67162, 50882, 59073, 56696, 51149, 50923, 50970, 51274, 51067, 68029, 51727, 60761, 52275, 50870, 65420, 51149, 75410, 51227, 50960, 51192, 52224, 50870, 51450, 51903, 50837, 50909, 51972, 50320, 55885, 51727, 51650, 51877, 60621, 72305, 50887, 72990, 52283, 60145, 51725, 51048, 50986, 77225, 51338, 50807, 52842, 50948, 51525, 54200, 54724, 52100, 50870, 50939, 71899, 56567, 51427, 50847, 51160, 50998, 51055, 50929, 51013, 50453, 50801, 52579, 52842, 50948, 55494, 51332, 50833, 68528, 51007, 50924, 52215, 57015, 51164, 51290, 51504, 51226, 50986, 50967, 52894, 55755, 52816, 51903, 63607, 54891, 51111, 50970, 51158, 50947, 51192, 50415, 52842, 77103, 52842, 50948, 55997, 50870, 52111, 60931, 52842, 78769, 50879, 50986, 64002, 51525, 54200, 54724, 52100, 67162, 51173, 50970, 51175, 50947, 51173, 50431, 52842, 50940, 53782, 51792, 50870, 51164, 50836, 51504, 75339, 52842, 62341, 57892, 51332, 50807, 51725, 51054, 54683, 50983, 71996, 63117, 50921, 64017, 50998, 51167, 50929, 51215, 67345, 51949, 62032, 51111, 79291, 52283, 53003, 51525, 54200, 54724, 52100, 64358, 50855, 68241, 50929, 58045, 50801, 59644, 50872, 51095, 51064, 51603, 50970, 51345, 50456, 51727, 50983, 52277, 50936, 55494, 50848, 51167, 52021, 51161, 50960, 51173, 53271, 51941, 51246, 51196, 52215, 50870, 51755, 52816, 51903, 57610, 52277, 61955, 52277, 50940, 63850, 52111, 60931, 52277, 58216, 51525, 54200, 54724, 52100, 67162, 50882, 59073, 50970, 51496, 51067, 66605, 52277, 57748, 51727, 60761, 52275, 50870, 51064, 51227, 50960, 51192, 50434, 52277, 50921, 52224, 50870, 51450, 51903, 53027, 51727, 51650, 51877, 60621, 50890, 50960, 50887, 52283, 60145, 51725, 51157, 50986, 77225, 51338, 50807, 51525, 54200, 54724, 52100, 62170, 51160, 78000, 50998, 51290, 50929, 51013, 50453, 50801, 52579, 55494, 52215, 57015, 51164, 51073, 51504, 51226, 50986, 50967, 52894, 50918, 52277, 60777, 52816, 51903, 62502, 51158, 50947, 51286, 50420, 52277, 50924, 63850, 52111, 60931, 50885, 50893, 50986, 70006, 52277, 50936, 51525, 54200 ]

[ 0, 250, 19834, 12, 13028, 3495, 2214, 14, 7630, 6568, 10, 25306, 8, 9066, 5466, 6, 4246, 10, 13305, 6, 20642, 2323, 6, 24896, 6, 6755, 12547, 6, 8, 3459, 9590, 4, 590, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 278, 11, 5, 762, 9, 163, 3694, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 272, 119, 1176, 406, 6, 12608, 6, 8, 3676, 3639, 7, 63, 17627, 17274, 8, 2365, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 50445, 50691, 50303, 50812, 53122, 57465, 56984, 50897, 52064, 62990, 50691, 50303, 50836, 53122, 50813, 51809, 55353, 50897, 52130, 61958, 52304, 58745, 52558, 50428, 55353, 50897, 52130, 60332, 51049, 54748, 50808, 55703, 68167, 55353, 51178, 52130, 60397, 65891, 51889, 68787, 56673, 50833, 53058, 53632, 53330, 76690, 55353, 51178, 52130, 51175, 52068, 50458, 59541, 51121, 52994, 60665, 52675, 50904, 51809, 61558, 56554, 53884, 63261, 51049, 55352, 50808, 55703, 50827, 51572, 54207, 51889, 57012, 52521, 50855, 52142, 53690, 52304, 57186, 52521, 50855, 52142, 52633, 57651, 52521, 50862, 52142, 53690, 50840, 51892, 52177, 52521, 50901, 52142, 54523, 52304, 50836, 51510, 58594, 52521, 50977, 52142, 65678, 51049, 54748, 76576, 64100, 52521, 50942, 52142, 55043, 54840, 51889, 71480, 53122, 50977, 53020, 62977, 53340, 72145, 52682, 50854, 51951, 61481, 55353, 51177, 52130, 51121, 52068, 50460, 52682, 51255, 51951, 79890, 52675, 50904, 52478, 61558, 58304, 53884, 72958, 51049, 55352, 63116, 50791, 50827, 55820, 64681, 51889, 64457, 50691, 50303, 50812, 53122, 51730, 52304, 62564, 56984, 50897, 52064, 55744, 70039, 50691, 50303, 50836, 53122, 52784, 50840, 52558, 53069, 55353, 50866, 52130, 59872, 52304, 61057, 52558, 50431, 55353, 50845, 52130, 53757, 51049, 54748, 61055, 50791, 64101, 55353, 51101, 52130, 60257, 64661, 51889, 68168, 56673, 50813, 53058, 53630, 53340, 64833, 55353, 50813, 52130, 51421, 61145, 59541, 51363, 52994, 55568, 52675, 50904, 53069, 57125, 50813, 51544, 54854, 50816, 51049, 55352, 50808, 51570, 50827, 51180, 55590, 51889, 54208, 52521, 50857, 52142, 52259, 52304, 54232, 52521, 50857, 52142, 52304, 50854, 77435, 50857, 52142, 53579, 50840, 52558, 50420, 52521, 50892, 52142, 54523, 52189, 50812, 51544, 53860, 52521, 50844, 52142, 55508, 51049, 54101, 50808, 51570, 54758, 52521, 50905, 52142, 52808, 70832, 51889, 72860, 52682, 51242, 51951, 61525, 53340, 65267, 56673, 50867, 53058, 51421, 50813, 51601, 55353, 51412, 52130, 79890, 52675, 73122, 57125, 63567, 53884, 50433, 50816, 51049, 55352, 63038, 51133, 50808, 51327, 50959, 53171, 50925, 60423, 51177, 66680, 50938, 52470, 50445, 51415, 50808, 51672, 50878, 53927, 50833, 50706, 50315, 50833, 67002, 51582, 70832, 51889, 63653, 63283, 51414, 50866, 52287, 50938, 64575, 50901, 63626, 54523, 52304, 50864, 55779, 50854, 51809, 50953, 50942, 51231, 50978, 51981, 50942, 72062, 50977, 64517, 59083, 50840, 52558, 50419, 51213, 50942, 51719, 50933, 52948, 50933, 50706, 50310, 50810, 50706, 50322, 63980, 63676, 51465, 50845, 51818, 50873, 79354, 50873, 71407, 56426, 51363, 51206, 51233, 50428, 51992, 62743, 51992, 50897, 50440, 51992, 62928, 51992, 51100, 50458, 51992, 50942, 51809, 52235, 71876, 51992, 50942, 70802, 51981, 50836, 53927, 50855, 72062, 51177, 64517, 61958, 53597, 50586, 50844, 50428, 52678, 50892, 51213, 51095, 52948, 51121, 52287, 50901, 50706, 50310, 51095, 50706, 50322, 62187, 50901, 51769, 50977, 50441, 51971, 50889, 51019, 51235, 51818, 51111, 51981, 51177, 79354, 51363, 71407, 59554, 50897, 51769, 50897, 51647, 57187, 50852, 50855, 57731, 51019, 51110, 51465, 51592, 51231, 51445, 51672, 51445, 51818, 51313, 53541, 52727, 51615, 52829, 52033, 55856, 50798, 56522, 50854, 53764, 60155, 51992, 50878, 50436, 51992, 50878, 51415, 57468, 58162, 51559, 77376, 51992, 60162, 64698, 54758, 50816, 51297, 50448, 51992, 50925, 51271, 51060, 69290, 51559, 65002, 51817, 63477, 59301, 67205, 51992, 59756, 52873, 50844, 52478, 53399, 50942, 51019, 55071, 58043, 54202, 50816, 62589, 50816, 51000, 63741, 69156, 51992, 50833, 55917, 51476, 51445, 51231, 52071, 51327, 70153, 59343, 51559, 70134, 52133, 51748, 50430, 52678, 51194, 50843, 61284, 50953, 62187, 56022, 50844, 50442, 51971, 74256, 61800, 51133, 53769, 50937, 51892, 50454, 50843, 62495, 62709, 50844, 53069, 50953, 54690, 55630, 54475, 50816, 51128, 63741, 63521, 50816, 64462, 67910, 51410, 51199, 51249, 51312, 51457, 51267, 50706, 50306, 51112, 58260, 51227, 51615, 51258, 51656, 50864, 52332, 54923, 59756, 61692, 50942, 50431, 52678, 50955, 50437, 52678, 50955, 50443, 52678, 76078, 52678, 78971, 52678, 50862, 52591, 51992, 57629, 52678, 50942, 60357, 51981, 51110, 51231, 51177, 72062, 51177, 64517, 50967, 51615, 55576, 76922, 54215, 51971, 50901, 51019, 50967, 51465, 50845, 51818, 50849, 79354, 51221, 71407, 51110, 52033, 57564, 50901, 51769, 50873, 50442, 52678, 51204, 50444, 51213, 51215, 51719, 51178, 52948, 51095, 50706, 50310, 51377, 50706, 50322, 50889, 52332, 55998, 50925, 51769, 50910, 51453, 50886, 51621, 50867, 57752, 54156, 76786, 51410, 51293, 51457, 51445, 52948, 51445, 52287, 51293, 51656, 51922, 51881, 51748, 52332, 52727, 50798, 56522, 53911, 52678, 64321, 53891, 52678, 50959, 51213, 59407, 58162, 51559, 63959, 52678, 63250, 64698, 63041, 50816, 51297, 50451, 52678, 50901, 51133, 51060, 52243, 51122, 51559, 59697, 51271, 63477, 59301, 50886, 51601, 52678, 59756, 52873, 54351, 51992, 50955, 50421, 50927, 59756, 58043, 59329, 50816, 51128, 72130, 51000, 51694, 50941, 50427, 52678, 50878, 51019, 51238, 51465, 51243, 51818, 51151, 51981, 51151, 52033, 51922, 56617, 51671, 51615, 73506, 59343, 51437, 64662, 51971, 59689, 66090, 50953, 72649, 56022, 71696, 51971, 78570, 64599, 51415, 51215, 53020, 50952, 51905, 56411, 50937, 51892, 50454, 52142, 50854, 51558, 68627, 51951, 50874, 51284, 55638, 62495, 53058, 50844, 51629, 50955, 51809, 50953, 51158, 52142, 50830, 51558, 53071, 51582, 50844, 50419, 51951, 50833, 51284, 62642, 53058, 50897, 51629, 62283, 58043, 55946, 50816, 51128, 50425, 51951, 50859, 51284, 55742, 51000, 51694, 73956, 51019, 51505, 52130, 50865, 79354, 50795, 71407, 50893, 51600, 57603, 59756, 57900, 66855, 51992, 50878, 50440, 51992, 69775, 51992, 50942, 50452, 51992, 50873, 51809, 51992, 63980, 53399, 50942, 50428, 51992, 50878, 51019, 51379, 51465, 52062, 51231, 51422, 51672, 51939, 51818, 51422, 56165, 50977, 51953, 52122, 51676, 76274, 52189, 54125, 52678, 50873, 52760, 50886, 52118, 50886, 66720, 55424, 50942, 53525, 51049, 54748, 52711, 52760, 50855, 52118, 56112, 51971, 52959, 54105, 56165, 64364, 52760, 50855, 52118, 53340, 53920, 56165, 50837, 55424, 50374, 53047, 59022, 51019, 72649, 53340, 50886, 50799, 52508, 51194, 52760, 50830, 52118, 50849, 51402, 53066, 53469, 55946, 51465, 50864, 51231, 50837, 51249, 50857, 51672, 51129, 51818, 54880, 52675, 59399, 51019, 51175, 51465, 52062, 51231, 51939, 51672, 51939, 51818, 51662, 57125, 58853, 51992, 50942, 52760, 50867, 52118, 53065, 54728, 56165, 50886, 55424, 64524, 51992, 56949, 51049, 55352, 66372, 51992, 50942, 52760, 50862, 52118, 51559, 62564, 51992, 51095, 55424, 50933, 52760, 50886, 52118, 55316, 62474, 51889, 61780, 50798, 52304, 50864, 51601, 52508, 50901, 52118, 50849, 50418, 51992, 55690, 65599, 53399, 50925, 70498, 52760, 50855, 52118, 53630, 50840, 52558, 50430, 51992, 50925, 50964, 51215, 51476, 51803, 51231, 51790, 51327, 51742, 51818, 51742, 51676, 51359, 51829, 60922, 52189, 62657, 52678, 50873, 52760, 50857, 52118, 50862, 52558, 50439, 52724, 50864, 57040, 51049, 54101, 66372, 52760, 50862, 52118, 52304, 64891, 51971, 50807, 50452, 52724, 58686, 52760, 50813, 52118, 50854, 51953, 50359, 50404, 50791 ]

[ 0, 250, 19448, 8, 5679, 26709, 5175, 25771, 2125, 4246, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 83, 538, 19, 10, 132, 73, 306, 86, 6543, 8, 10, 38451, 3938, 20889, 6, 17407, 30, 10, 33215, 13931, 9, 230, 10431, 119, 6, 1918, 406, 6, 381, 12361, 6, 1918, 1176, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 74734, 51846, 50806, 51786, 58718, 50960, 52774, 51786, 50821, 51078, 54901, 60183, 51292, 52247, 51846, 57200, 54765, 51067, 69055, 51078, 55246, 70442, 51057, 59077, 51438, 58718, 50960, 52774, 51438, 50821, 50970, 54901, 60848, 51292, 52247, 51207, 57200, 54765, 51067, 69055, 50970, 55246, 74670, 51057, 52028, 50806, 51292, 58718, 50960, 52774, 51292, 50821, 50998, 54901, 55784, 51067, 52247, 52028, 57200, 54765, 51316, 69055, 50998, 55246, 60405, 51057, 66530, 51067, 58718, 51311, 52774, 65611, 54765, 50423, 70505, 51316, 52247, 51504, 57200, 62979, 51076, 69055, 54765, 50435, 51169, 50821, 51057, 50624, 51574, 50806, 55046, 50417, 51207, 52774, 54765, 50947, 54901, 50929, 52247, 51574, 50806, 51076, 57200, 51207, 52309, 54765, 51067, 55246, 59400, 51057, 52012, 51196, 50929, 69171, 50929, 51196, 51549, 51196, 51317, 51196, 51064, 51196, 50416, 51064, 51196, 69434, 68433, 57504, 57504, 55784, 51444, 55419, 50947, 51160, 51292, 63447, 61446, 50429, 68433, 57504, 57504, 50947, 55246, 55784, 51292, 51226, 51057, 59364, 50417, 68433, 51078, 54901, 51317, 51160, 51078, 63447, 65222, 61446, 50429, 50929, 52686, 60405, 68433, 51078, 55246, 70442, 51057, 56488, 57566, 60106, 51444, 55419, 50998, 51160, 50970, 51160, 50947, 51160, 50947, 63447, 61446, 50429, 74548, 57566, 57566, 51067, 55246, 55784, 50998, 51685, 50970, 51685, 51032, 51685, 51057, 59364, 50417, 68433, 50970, 54901, 51317, 51160, 50970, 63447, 51131, 55224, 68433, 57566, 51057, 68433, 57504, 57504, 55784, 51444, 55419, 50947, 51160, 51292, 63447, 61446, 50429, 68433, 57504, 57504, 50947, 55246, 55784, 51292, 51685, 51057, 59364, 50417, 68433, 51078, 54901, 51317, 51160, 51078, 63447, 51131, 55224, 68433, 57504, 51057, 57504, 58870, 53092, 55419, 70442, 51207, 51160, 50960, 69321, 75563, 53092, 69460, 59077, 54765, 51076, 55246, 57504, 58870, 51057, 53092, 66281, 59077, 54765, 51076, 54901, 55784, 51207, 51160, 50960, 63447, 53092, 69460, 51076, 69055, 59077, 54765, 51057, 55046, 60106, 53271, 55419, 74670, 51207, 51160, 50960, 69321, 75563, 53271, 69460, 59077, 54765, 51064, 55246, 55046, 60106, 51057, 53271, 66281, 59077, 54765, 51064, 54901, 55784, 51207, 51160, 50960, 63447, 53271, 69460, 51064, 69055, 59077, 54765, 51057, 56406, 68909, 52012, 55419, 60405, 51207, 51160, 50960, 69321, 51292, 52247, 65009, 50429, 59077, 54765, 50947, 55246, 56406, 68909, 51057, 65009, 50417, 59077, 54765, 50947, 54901, 68909, 51207, 51160, 50960, 63447, 65009, 50429, 50947, 69055, 59077, 54765, 51057, 56406, 68909, 52012, 55419, 59400, 51207, 51160, 51317, 69321, 51292, 52247, 65009, 50429, 59077, 68433, 55046, 50435, 56406, 68909, 51057, 65009, 50417, 59077, 68433, 50929, 54901, 68909, 51207, 51160, 51317, 63447, 65009, 50429, 50929, 69055, 59077, 68433, 69434, 68433, 57504, 57504, 55784, 51444, 55419, 50947, 51160, 51292, 63447, 61446, 50429, 68433, 57504, 57504, 50947, 55246, 55784, 51292, 51226, 51057, 59364, 50417, 68433, 51078, 54901, 51317, 51160, 51078, 63447, 65222, 61446, 50429, 50929, 52686, 60405, 68433, 51078, 55246, 70442, 51057, 56488, 57566, 60106, 51444, 55419, 50998, 51160, 50970, 51160, 50947, 51160, 50947, 63447, 61446, 50429, 74548, 57566, 57566, 51067, 55246, 55784, 50998, 51685, 50970, 51685, 51032, 51685, 51057, 59364, 50417, 68433, 50970, 54901, 51317, 51160, 50970, 63447, 51131, 55224, 68433, 57566, 51057, 68433, 57504, 57504, 55784, 51444, 55419, 50947, 51160, 51292, 63447, 61446, 50429, 68433, 57504, 57504, 50947, 55246, 55784, 51292, 51685, 51057, 59364, 50417, 68433, 51078, 54901, 51317, 51160, 51078, 63447, 51131, 55224, 68433, 57504, 51057, 57504, 58870, 53092, 55419, 70442, 51207, 51160, 50960, 69321, 75563, 53092, 69460, 59077, 54765, 51076, 55246, 57504, 58870, 51057, 53092, 66281, 59077, 54765, 51076, 54901, 55784, 51207, 51160, 50960, 63447, 53092, 69460, 51076, 69055, 59077, 54765, 51057, 55046, 60106, 53271, 55419, 74670, 51207, 51160, 50960, 69321, 75563, 53271, 69460, 59077, 54765, 51064, 55246, 55046, 60106, 51057, 53271, 66281, 59077, 54765, 51064, 54901, 55784, 51207, 51160, 50960, 63447, 53271, 69460, 51064, 69055, 59077, 54765, 51057, 56406, 68909, 52012, 55419, 60405, 51207, 51160, 50960, 69321, 51292, 52247, 65009, 50429, 59077, 54765, 50947, 55246, 56406, 68909, 51057, 65009, 50417, 59077, 54765, 50947, 54901, 68909, 51207, 51160, 50960, 63447, 65009, 50429, 50947, 69055, 59077, 54765, 51057, 56406, 68909, 52012, 55419, 59400, 51207, 51160, 51317, 69321, 51292, 52247, 65009, 50429, 59077, 68433, 55046, 50435, 56406, 68909, 51057, 65009, 50417, 59077, 68433, 50929, 54901, 68909, 51207, 51160, 51317, 63447, 65009, 50429, 50929, 69055, 59077, 68433, 51057, 55784, 51292, 51160, 51444, 55419, 50960, 51160, 50970, 69321, 51067, 52422, 64687, 59364, 50429, 79797, 51076, 55246, 60183, 51067, 51226, 51057, 58208, 50417, 54765, 50970, 54901, 50960, 51160, 50970, 63447, 58208, 50429, 51076, 52309, 54765, 50970, 55246, 64687, 51057, 60183, 51067, 51160, 51725, 55419, 50986, 51160, 50998, 69321, 51032, 52422, 70442, 63642, 50429, 74548, 50947, 55246, 55784, 51032, 51685, 51057, 62867, 50417, 56488, 50998, 54901, 50986, 51160, 50998, 63447, 51504, 55224, 74548, 51057, 60888, 55784, 53271, 66281, 50929, 52774, 50960, 51160, 50970, 69321, 75563, 53271, 69460, 79797, 51032, 55246, 55784, 58870, 51057, 53271, 66281, 79797, 51292, 54901, 79540, 50960, 51160, 50970, 63447, 53271, 69460, 51563, 69055, 79797, 51057, 51292, 50821, 56406, 55046, 58870, 65009, 50417, 50947, 52871, 60405, 50998, 51160, 50929, 51160, 51067, 69321, 50947, 51226, 50426, 65009, 50429, 56406, 55046, 51067, 55246, 62049, 59400, 51316, 50821, 51057, 56406, 55046, 75193, 52012, 55419, 50998, 51160, 50929, 51160, 51316, 63447, 65009, 50429, 56406, 55046, 51316, 55246, 62049, 59400, 51316, 50821, 69434, 68433, 57504, 57504, 55784, 51444, 55419, 50947, 51160, 51292, 63447, 61446, 50429, 68433, 57504, 57504, 50947, 55246, 55784, 51292, 51226, 51057, 59364, 50417, 68433, 51078, 54901, 51317, 51160, 51078, 63447, 65222, 61446, 50429, 50929, 52686, 60405, 68433, 51078, 55246, 70442, 51057, 56488, 57566, 60106, 51444, 55419, 50998, 51160, 50970, 51160, 50947, 51160, 50947, 63447, 61446, 50429, 74548, 57566, 57566, 51067, 55246, 55784, 50998, 51685, 50970, 51685, 51032, 51685, 51057, 59364, 50417, 68433, 50970, 54901, 51317, 51160, 50970, 63447, 51131, 55224, 68433, 57566, 51057, 68433, 57504, 57504, 55784, 51444, 55419, 50947, 51160, 51292, 63447, 61446, 50429, 68433, 57504, 57504, 50947, 55246, 55784, 51292, 51685, 51057, 59364, 50417, 68433, 51078, 54901, 51317, 51160, 51078, 63447, 51131, 55224, 68433, 57504, 51057, 57504, 58870, 53092, 55419, 70442, 51207, 51160, 50960, 69321, 75563, 53092, 69460, 59077, 54765, 51076, 55246, 57504, 58870, 51057, 53092, 66281, 59077, 54765, 51076, 54901, 55784, 51207, 51160, 50960, 63447, 53092, 69460, 51076, 69055, 59077, 54765, 51057, 55046, 60106, 53271, 55419, 74670, 51207, 51160, 50960, 69321, 75563, 53271, 69460, 59077, 54765, 51064, 55246, 55046, 60106, 51057, 53271, 66281, 59077, 54765, 51064, 54901, 55784, 51207, 51160, 50960, 63447, 53271, 69460, 51064, 69055, 59077, 54765, 51057, 56406, 68909, 52012, 55419, 60405, 51207, 51160, 50960, 69321, 51292 ]

[ 0, 250, 20902, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 2382, 3459, 8669, 6, 30587, 8669, 6, 21072, 6, 21979, 9590, 6, 8, 2662, 271, 4, 20, 33301, 16, 14899, 8, 33558, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 1769, 20889, 9, 19641, 13410, 228, 2289, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 119, 1176, 406, 6, 3676, 406, 6, 163, 119, 1176, 406, 6, 3676, 6, 8, 211, 6, 2351, 10, 1372, 8, 20425, 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 ]

[ 58375, 55986, 51031, 55057, 56262, 50843, 56385, 50843, 51031, 59412, 51023, 51391, 50432, 51282, 52782, 50438, 51208, 51241, 50444, 51282, 53892, 50450, 51092, 59827, 51282, 52188, 50799, 51185, 51241, 50420, 51282, 52378, 50426, 51092, 57648, 51089, 74048, 51208, 51679, 50444, 51089, 63160, 50450, 51023, 51484, 51601, 51023, 51419, 50426, 51282, 76395, 50428, 51281, 52256, 50440, 51023, 51671, 50455, 51208, 54573, 50796, 50441, 51268, 57940, 51281, 76791, 51023, 55514, 51208, 51189, 52478, 51023, 51142, 50421, 74530, 50424, 51268, 50984, 50428, 51281, 56599, 63515, 60319, 70612, 53336, 51224, 52670, 60319, 70612, 52975, 51224, 50837, 51658, 54192, 70612, 53675, 51224, 52763, 60319, 70612, 53563, 51224, 50837, 51755, 54192, 70612, 53336, 51224, 52670, 60319, 70612, 52975, 51224, 50837, 51658, 54192, 70612, 53675, 51224, 52763, 60319, 70612, 53563, 51224, 59044, 51282, 51671, 50458, 51118, 51313, 50460, 51089, 51748, 54389, 50938, 51118, 50863, 51089, 50863, 51023, 50870, 51023, 51243, 60319, 70612, 53336, 51216, 50866, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50978, 51089, 50978, 51023, 71870, 52670, 51493, 50917, 78037, 51089, 50837, 51023, 54715, 54192, 70612, 52975, 51216, 51162, 51118, 50908, 51089, 50908, 51118, 51058, 51089, 50974, 51023, 50905, 51224, 52896, 51118, 50870, 51089, 50891, 51023, 55401, 54192, 70612, 53675, 51216, 50901, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51058, 51089, 50905, 51023, 50974, 51224, 52763, 51493, 51100, 51118, 50870, 51089, 50891, 51023, 55259, 54192, 70612, 53563, 51216, 51377, 51118, 50908, 51089, 50908, 51023, 50908, 79301, 51089, 50974, 51023, 50838, 51224, 50837, 74290, 50891, 51089, 50863, 51023, 55259, 54192, 70612, 53336, 51216, 50845, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51058, 51089, 73742, 50974, 51224, 52670, 51493, 51121, 51118, 50870, 51089, 50863, 51023, 55259, 54192, 70612, 52975, 51216, 51377, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51008, 51089, 51006, 51023, 50838, 51224, 52896, 51118, 50908, 51089, 50870, 51023, 55259, 54192, 70612, 53675, 51216, 50892, 51118, 50908, 51089, 50908, 51023, 50908, 79301, 51089, 73742, 50838, 51224, 52763, 51493, 51100, 51118, 50870, 51089, 50891, 51023, 55401, 54192, 70612, 53563, 51216, 51377, 51089, 50908, 51023, 50908, 51118, 51058, 51089, 50974, 51023, 50974, 51282, 52783, 51224, 59044, 51118, 51742, 50460, 51089, 52168, 74290, 50863, 51089, 50870, 51023, 55259, 54192, 70612, 71240, 56075, 51023, 52783, 50420, 51216, 50892, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50978, 51089, 50905, 51023, 50974, 51224, 65356, 53899, 52005, 52670, 51493, 51121, 51118, 50891, 51089, 50908, 51023, 50908, 52124, 51054, 50850, 50835, 60028, 50873, 60319, 70612, 71240, 52818, 51216, 51255, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51008, 51089, 51006, 51023, 50974, 51224, 65356, 53439, 52005, 53018, 51118, 50891, 51089, 50870, 51023, 50908, 54110, 51054, 50935, 50829, 67581, 51194, 60319, 70612, 71240, 53325, 51216, 51121, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51058, 51089, 50974, 51023, 50838, 51224, 65356, 53528, 52005, 52805, 51493, 51121, 51118, 50891, 51089, 50863, 51023, 50908, 52047, 51054, 50909, 50834, 58113, 51110, 60319, 70612, 71240, 53007, 51216, 51255, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50978, 51089, 51006, 51023, 50905, 51224, 65356, 54600, 52005, 50863, 74290, 50870, 51089, 50863, 51023, 50891, 51763, 51054, 51007, 50829, 61759, 51124, 60319, 70612, 71240, 53203, 51216, 51177, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50955, 51089, 51058, 51023, 50987, 51224, 65356, 53899, 52005, 52670, 51493, 51178, 51118, 50908, 51089, 50891, 51023, 50908, 52047, 51054, 50909, 50829, 58113, 51100, 60319, 70612, 71240, 52818, 51216, 51194, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50878, 51089, 50978, 51023, 71870, 65356, 53439, 52005, 53018, 51118, 50891, 51089, 50891, 51023, 50908, 54110, 50914, 50935, 50825, 67581, 51194, 60319, 70612, 71240, 53325, 51216, 51101, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50987, 51089, 50978, 51023, 71870, 65356, 53528, 52005, 52805, 51493, 50925, 51118, 50908, 51089, 50908, 51023, 50908, 52124, 51090, 50850, 50825, 60028, 51194, 60319, 70612, 71240, 53007, 51216, 50849, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50987, 51089, 50987, 51023, 71870, 65356, 54600, 52005, 50863, 56098, 51060, 51595, 50908, 51089, 50908, 51281, 50908, 52124, 62136, 50834, 60028, 51203, 60319, 70612, 71240, 53203, 51668, 51178, 51595, 50908, 51089, 50908, 51281, 50908, 51089, 50845, 51281, 51242, 51208, 51101, 51224, 65356, 53899, 52005, 52670, 51595, 50891, 51089, 50891, 51281, 50908, 63512, 51013, 50992, 50825, 75538, 51101, 60319, 70612, 71240, 52818, 51668, 51121, 51595, 50908, 51089, 50908, 51281, 50908, 51089, 50901, 51281, 50974, 51208, 78220, 65356, 53439, 52005, 53018, 51493, 51111, 51595, 50908, 51089, 50908, 51281, 50908, 52124, 62136, 50835, 60028, 50845, 60319, 70612, 71240, 53325, 51668, 51110, 51595, 50908, 51089, 50908, 51281, 50908, 51089, 50892, 51281, 50974, 51208, 51212, 51224, 65356, 53528, 52005, 52805, 51595, 50908, 51089, 50870, 51281, 50908, 54110, 51090, 50935, 50837, 67581, 51194, 60319, 70612, 71240, 53007, 51668, 50873, 51089, 50908, 51281, 50908, 51089, 50866, 51281, 50978, 51208, 50901, 51224, 65356, 54600, 51595, 50368, 52271, 50863, 56098, 51111, 51595, 50908, 51089, 50891, 51281, 50908, 52124, 60787, 50835, 60028, 51101, 60319, 70612, 71240, 53203, 51668, 51100, 51595, 50908, 51089, 50908, 51281, 50908, 51089, 50892, 51281, 50892, 51208, 51177, 63512, 51896, 51224, 65356, 53899, 52005, 52670, 51595, 50908, 51089, 50908, 51281, 50870, 50992, 50837, 75538, 50845, 60319, 70612, 71240, 52818, 51668, 50937, 51595, 50908, 51089, 50908, 51281, 50908, 51089, 50892, 51281, 50892, 51208, 71870, 65356, 53439, 52005, 53018, 51493, 51121, 78037, 51089, 50870, 51023, 50870, 50944, 50837, 76054, 54036, 54192, 70612, 71240, 56755, 75538, 51351, 50442, 50992, 53027, 51150, 50967, 51118, 50908, 51089, 50908, 51023, 50908, 51089, 74224, 50901, 51092, 60858, 65356, 53528, 52005, 52805, 51595, 50891, 51089, 50908, 51281, 55259, 54192, 70612, 71240, 53007, 51668, 50892, 51595, 50908, 51089, 50908, 51281, 50908, 51089, 50845, 51281, 50901, 51208, 50901, 51224, 65356, 54600, 52005, 50863, 54389, 50925, 51118, 50863, 51089, 50870, 51023, 55259, 54192, 70612, 71240, 53203, 51216, 50892, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 50978, 51089, 50905, 51023, 50974, 51224, 65356, 53899, 52005, 52670, 51493, 51121, 51118, 50891, 51089, 50908, 51023, 50908, 52124, 51054, 50850, 50835, 60028, 50873, 60319, 70612, 71240, 52818, 51216, 51255, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51008, 51089, 51006, 51023, 50974, 51224, 65356, 53439, 52005, 53018, 51118, 50891, 51089, 50870, 51023, 50908, 54110, 51054, 50935, 50829, 67581, 51194, 60319, 70612, 71240, 53325, 51216, 51121, 51118, 50908, 51089, 50908, 51023, 50908, 51118, 51058, 51089, 50974, 51023, 50838, 51224, 65356, 53528, 52005, 52805, 51493, 51121, 51118, 50891, 51089, 50863, 51023, 50908, 52047, 51054, 50909, 50834, 58113, 51110, 60319, 70612, 71240, 53007, 51216, 51255 ]

[ 0, 250, 765, 6, 15352, 30054, 5175, 8, 3495, 2214, 19, 10, 822, 12, 3341, 1318, 6, 278, 11, 10, 231, 73, 398, 86, 6543, 23, 10, 38451, 3938, 20889, 4, 20, 13305, 5723, 5, 8859, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 4, 23973, 11, 5, 762, 9, 12608, 538, 6, 24, 1575, 10, 33215, 16739, 9, 230, 119, 406, 6, 274, 6, 12608, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50628, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50450, 50628, 50451, 50900, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50965, 51127, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50871, 55385, 50628, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 51050, 51218, 51001, 51056, 50462, 50965, 51127, 50468, 50997, 51218, 51540, 50900, 51141, 50871, 50889, 50427, 64384, 50433, 50956, 51218, 50439, 65943, 50450, 50628, 50451, 51176, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50965, 51127, 50463, 50628, 50467, 50628, 50468, 50997, 51218, 50471, 50628, 50476, 50628, 50480, 50628, 51540, 50628, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50450, 50628, 50451, 50900, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50965, 51127, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50871, 55385, 50628, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 51050, 51218, 51001, 51056, 50462, 50871, 51056, 50468, 50997, 51218, 50474, 64384, 51540, 50900, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50956, 51218, 69332, 70147, 50628, 50451, 51176, 51218, 64384, 50454, 50628, 50459, 50628, 50462, 65943, 50463, 50628, 50467, 50628, 50468, 50997, 51218, 50471, 50628, 50474, 51001, 51056, 50476, 50628, 50480, 50628, 51540, 50628, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 50900, 51218, 51001, 51056, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50451, 50900, 51218, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50451, 50900, 51218, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50451, 50900, 51218, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50450, 50628, 50451, 50900, 51218, 50454, 50628, 50459, 50628, 50462, 50871, 51056, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50474, 64384, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50876, 55385, 50628, 50427, 51001, 51056, 50433, 50997, 51218, 69332, 51056, 50451, 51050, 51218, 64384, 50462, 65943, 50468, 50997, 51218, 50474, 51001, 51056, 51540, 50900, 51141, 50871, 50889, 50427, 64384, 50433, 50956, 51218, 50439, 65943, 50450, 50628, 50451, 51176, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50871, 51056, 50463, 50628, 50467, 50628, 50468, 50997, 51218, 50471, 50628, 50474, 64384, 50476, 50628, 50480, 50628, 51540, 50628, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 69332, 70147, 50628, 50451, 50900, 51218, 64384, 50454, 50628, 50459, 50628, 50462, 65943, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50474, 51001, 51056, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50965, 64739, 50628, 50433, 50997, 51218, 69332, 51056, 50451, 51050, 51218, 64384, 50462, 65943, 50468, 50997, 51218, 50474, 51001, 51056, 51540, 50900, 51141, 50965, 51077, 50433, 50956, 51218, 69332, 70147, 50628, 50451, 51176, 51218, 64384, 50454, 50628, 50459, 50628, 50462, 65943, 50463, 50628, 50467, 50628, 50468, 50997, 51218, 50471, 50628, 50474, 51001, 51056, 50476, 50628, 50480, 50628, 51540, 50628, 51050, 51141, 50965, 51077, 50433, 50997, 51218, 69332, 51056, 50451, 50900, 51218, 64384, 50462, 65943, 50468, 50956, 51218, 50474, 51001, 51056, 51540, 51050, 51141, 50965, 51077, 50433, 50997, 51218, 69332, 51056, 50451, 50900, 51218, 64384, 50462, 65943, 50468, 50956, 51218, 50474, 51001, 51056, 51540, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 50900, 51218, 51001, 51056, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 69332, 51056, 50451, 50900, 51218, 64384, 50462, 65943, 50468, 50956, 51218, 50474, 51001, 51056, 51540, 50628, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50450, 50628, 50451, 50900, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50965, 51127, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50871, 55385, 50628, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 51050, 51218, 51001, 51056, 50462, 50965, 51127, 50468, 50997, 51218, 51540, 50900, 51141, 50871, 50889, 50427, 64384, 50433, 50956, 51218, 50439, 65943, 50450, 50628, 50451, 51176, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50965, 51127, 50463, 50628, 50467, 50628, 50468, 50997, 51218, 50471, 50628, 50476, 50628, 50480, 50628, 51540, 50628, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50450, 50628, 50451, 50900, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50965, 51127, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50871, 55385, 50628, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 51050, 51218, 51001, 51056, 50462, 50871, 51056, 50468, 50997, 51218, 50474, 64384, 51540, 50900, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50956, 51218, 69332, 70147, 50628, 50451, 51176, 51218, 64384, 50454, 50628, 50459, 50628, 50462, 65943, 50463, 50628, 50467, 50628, 50468, 50997, 51218, 50471, 50628, 50474, 51001, 51056, 50476, 50628, 50480, 50628, 51540, 50628, 51050, 51141, 50871, 50889, 50427, 64384, 50433, 50997, 51218, 50439, 65943, 50451, 50900, 51218, 51001, 51056, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50451, 50900, 51218, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50451, 50900, 51218, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50451, 50900, 51218, 50462, 50871, 51056, 50468, 50956, 51218, 50474, 64384, 51540, 51050, 51141, 50876, 50889, 50427, 51001, 51056, 50433, 50997, 51218, 50439, 50965, 51127, 50450, 50628, 50451, 50900, 51218, 50454, 50628, 50459, 50628, 50462, 50871, 51056, 50463, 50628, 50467, 50628, 50468, 50956, 51218, 50471, 50628, 50474, 64384, 50476, 50627, 50480, 50627, 51540, 51176, 51141, 50876, 55385, 50628, 50427, 51001, 51056, 50433, 50997, 51218, 69332, 51056, 50451, 51050, 51218, 64384, 50462, 65943, 50468, 50997, 51218, 50474, 51001, 51056, 51540, 50900, 51141, 50871, 50889, 50427, 64384, 50433, 50956, 51218, 50439, 65943, 50450, 50628, 50451, 51176, 51218, 51001, 51056, 50454, 50628, 50459, 50628, 50462, 50871, 51056, 50463, 50628, 50467, 50628, 50468, 50997, 51218 ]

[ 0, 250, 15855, 2125, 19, 10, 25306, 619, 6, 42, 2214, 1575, 41, 21979, 8669, 6, 12280, 3275, 1725, 3109, 6, 8, 6755, 12547, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 11956, 38451, 3938, 20889, 4, 20, 15229, 7630, 6568, 10, 1472, 9, 36474, 13005, 8, 2821, 16235, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 230, 10431, 8, 274, 10431, 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 ]

[ 56103, 52065, 50883, 51357, 50883, 51699, 50836, 53029, 51550, 52573, 51252, 52049, 51252, 51207, 51233, 51076, 67694, 51883, 50884, 51113, 72083, 58993, 50417, 51699, 50883, 51088, 62740, 50929, 63817, 51699, 50840, 53029, 51851, 52573, 51851, 52049, 57051, 52065, 50883, 51357, 50883, 51699, 50840, 52573, 51851, 52049, 51297, 53029, 51252, 66493, 51076, 75980, 51883, 50895, 51113, 50895, 67418, 50430, 51699, 74567, 50821, 50929, 53974, 51699, 50813, 52573, 51258, 52049, 51128, 53029, 59580, 53148, 50813, 51251, 50887, 51107, 50887, 53322, 51004, 53322, 51004, 53249, 52835, 52573, 51851, 55061, 51252, 50439, 51067, 51472, 52028, 51446, 50444, 53148, 50867, 51883, 50890, 51113, 50890, 55061, 51297, 53249, 51319, 52573, 51319, 53322, 51297, 50960, 55268, 53148, 50867, 53148, 50840, 51491, 50840, 57354, 52231, 55061, 51297, 53249, 52134, 52573, 51851, 53322, 51297, 50960, 54166, 52371, 50813, 53148, 50855, 51251, 50813, 53249, 51258, 52573, 51004, 53322, 51129, 55061, 51297, 50960, 50887, 50799, 52065, 50883, 51357, 50883, 51699, 50836, 53029, 51319, 53895, 52514, 52573, 51851, 52049, 51851, 51076, 68061, 51207, 50937, 50947, 50859, 50416, 51883, 50828, 51113, 55221, 50929, 69736, 51699, 50880, 51088, 54658, 51699, 50857, 53029, 51128, 53895, 51319, 52573, 51319, 52049, 57051, 52065, 50961, 51357, 50961, 51699, 50813, 53895, 51129, 53029, 51128, 52573, 51851, 52049, 51128, 66493, 51076, 57982, 69911, 50428, 51883, 50895, 51113, 50895, 50947, 75411, 51699, 50882, 51088, 50882, 50929, 54937, 51699, 50841, 53029, 51126, 53895, 51851, 52573, 51319, 52049, 60438, 53148, 50855, 51251, 50887, 51107, 50887, 55061, 51128, 53249, 52514, 52573, 51319, 53322, 51128, 50439, 51067, 51364, 52028, 51446, 50441, 52371, 50836, 51251, 54465, 52830, 50809, 53148, 50857, 51301, 50809, 55061, 51297, 53249, 52514, 52573, 51319, 53322, 51297, 50960, 58181, 53148, 50809, 51491, 52555, 53148, 50813, 51699, 50880, 65182, 55061, 51128, 53249, 51319, 52573, 51319, 53322, 51128, 50451, 50960, 55007, 51883, 50890, 51113, 54663, 53148, 50820, 52065, 50880, 51357, 50880, 55061, 51297, 53249, 52835, 52573, 52134, 53322, 51297, 50457, 50960, 54943, 51299, 50887, 51093, 50887, 50799, 52065, 50883, 51357, 50883, 51699, 50813, 53882, 51129, 52573, 51258, 53029, 51128, 53895, 51319, 52049, 51297, 51067, 57056, 51207, 50892, 51032, 61131, 51883, 50883, 51113, 56092, 51699, 50882, 51088, 50882, 51076, 55777, 51699, 50855, 53029, 51128, 53895, 52134, 52573, 51319, 52049, 57051, 52065, 50883, 51357, 50883, 51699, 50813, 53029, 51128, 53895, 51851, 52573, 51319, 52049, 51128, 51207, 50901, 67519, 51067, 57286, 51032, 65216, 51883, 50884, 51113, 56710, 51883, 50844, 51076, 50829, 51076, 65337, 51699, 50858, 51088, 54154, 52065, 50844, 52573, 51129, 53029, 51297, 53895, 52514, 52049, 64568, 51299, 52841, 53148, 51073, 51251, 51159, 51491, 51073, 52573, 52782, 53322, 51824, 55061, 54557, 53249, 62609, 50947, 51013, 50998, 51003, 51444, 76623, 52049, 52731, 50450, 53322, 56615, 50456, 52573, 52179, 63441, 50818, 51182, 50818, 52065, 50857, 51299, 57070, 53029, 51319, 53895, 52514, 52573, 51851, 52049, 51297, 51311, 51101, 51067, 75240, 51113, 50839, 51284, 50839, 51032, 64173, 51357, 50833, 51558, 50833, 51076, 63817, 51699, 50855, 53029, 51319, 53895, 52514, 52573, 51319, 52049, 61288, 52065, 50813, 53029, 51319, 53895, 52835, 52573, 52134, 52049, 51297, 51311, 50901, 51067, 57286, 51088, 50884, 51182, 70690, 51113, 50846, 51284, 50846, 51032, 64247, 51357, 50836, 51558, 50836, 51076, 53974, 51699, 50820, 53029, 51297, 53895, 52514, 52573, 51319, 52049, 61389, 51301, 50836, 55342, 51297, 53895, 51319, 52740, 51319, 52049, 51128, 51574, 66326, 51299, 50818, 51093, 50818, 50929, 63608, 51251, 50846, 51107, 50846, 51078, 69822, 51299, 50864, 51301, 50809, 51093, 50864, 51266, 50809, 50998, 55489, 51299, 50855, 55342, 51297, 53895, 52134, 52740, 51319, 52049, 60258, 51299, 50846, 51301, 50846, 51093, 50846, 55342, 51297, 53895, 52134, 52740, 51297, 52049, 51297, 50451, 51574, 50849, 50929, 50887, 50452, 51251, 50818, 51107, 50818, 51078, 50937, 51076, 54071, 50453, 51299, 51128, 51093, 51128, 50454, 51301, 50809, 51266, 50809, 50998, 51754, 51299, 50834, 55342, 51297, 53895, 52514, 52740, 51319, 52049, 51319, 50799, 51491, 50884, 51600, 50884, 51883, 50836, 55061, 51297, 53249, 52134, 52573, 51319, 53322, 51128, 51032, 67694, 51131, 50901, 50416, 51088, 50841, 51182, 50841, 51076, 65149, 51113, 50840, 51284, 50840, 50947, 54681, 53148, 50886, 53249, 51851, 52573, 51319, 53322, 51128, 55061, 58782, 51883, 50841, 51491, 50895, 51600, 50895, 57354, 52231, 55061, 51297, 53249, 52134, 52573, 51851, 53322, 51297, 51131, 50937, 51032, 50887, 69605, 50428, 51088, 50841, 51182, 50841, 51076, 57766, 65269, 51284, 80020, 52359, 53148, 50837, 53249, 51851, 52573, 51319, 53322, 51297, 55061, 61929, 51883, 50895, 51251, 50828, 51113, 50895, 55061, 51128, 53249, 51851, 52573, 51319, 53322, 51128, 51444, 51110, 51078, 67201, 52065, 50846, 51357, 77446, 50917, 50442, 51299, 50887, 51093, 50887, 50960, 52711, 52371, 50828, 57354, 52611, 55061, 51297, 53249, 52835, 52573, 51319, 53322, 60801, 51883, 50884, 51251, 50841, 51113, 50884, 57354, 52231, 55061, 51297, 53249, 52134, 52573, 51319, 53322, 51297, 51444, 60720, 51078, 64703, 52065, 50818, 51357, 50818, 50998, 73900, 51299, 50884, 51093, 50884, 50960, 54166, 52371, 50820, 53249, 51306, 53322, 51004, 55061, 51297, 52573, 51319, 78936, 51346, 52065, 51290, 51357, 51290, 53029, 55765, 52573, 55765, 52049, 55574, 52797, 52996, 51076, 51013, 50415, 50960, 51267, 51207, 50943, 50431, 73493, 51182, 52658, 51699, 50828, 51064, 72986, 50986, 52835, 50437, 51207, 51003, 51064, 51646, 51699, 71247, 50917, 51182, 50917, 53029, 51737, 52573, 53024, 52049, 51387, 52443, 71835, 52371, 50855, 51491, 50840, 51600, 50840, 52049, 51306, 50947, 58138, 52371, 50828, 51491, 50938, 51600, 50938, 55061, 51697, 52573, 53024, 53322, 51387, 52242, 51387, 50960, 50943, 50947, 55416, 52371, 50820, 51088, 79164, 50836, 51064, 57264, 51113, 50813, 51284, 66422, 50859, 63441, 50917, 51182, 50917, 51699, 50914, 52049, 52782, 53029, 61887, 52573, 61887, 52443, 53280, 50415, 51064, 51060, 51207, 51233, 50420, 51251, 50846, 51107, 50846, 52049, 51824, 50929, 52450, 51251, 50938, 51107, 50938, 53029, 54071, 52573, 55574, 52049, 53697, 50960, 51116, 50929, 54777, 51699, 50841, 51088, 50840, 51182, 50840, 52443, 52192, 51064, 54773, 51699, 50828, 51088, 50977, 51182, 50977, 52049, 51998, 52049, 51022, 52443, 51123, 53029, 51737, 52573, 51697, 51207, 51221, 51064, 55700, 52371, 50867, 51491, 50836, 51600, 50836, 50947, 54721, 52371, 50834, 51491, 50937, 51600, 50937, 55061, 52731, 52573, 55811, 53322, 52192, 52242, 51387, 50960, 51157, 50947, 58603, 52371, 50829, 51088, 79164, 50836, 51064, 57264, 51113, 50813, 51284, 66422, 50840, 63441, 50897, 79960, 51699, 50889, 52049, 51387, 53029, 61211, 52573, 61887, 52443, 52011, 51207, 51194, 51064, 56202, 51699, 50836, 51638, 50887, 51088, 74155, 50887, 52049, 52192, 50929, 54818, 51699, 50887, 51638, 50809, 51088, 50887, 79094, 52049, 51387, 53029, 58090, 52573, 55584, 50960, 51178, 50929, 58672, 51699, 50812, 51699, 50859, 68291, 51088, 50859 ]

[ 0, 250, 765, 6, 1769, 12, 20764, 15855, 2125, 11, 211, 538, 6, 4246, 41, 21979, 8669, 4, 20, 2214, 7630, 6568, 10, 19448, 8, 1372, 5466, 6, 19, 10, 11602, 9, 25306, 7125, 4, 85, 3905, 10, 33215, 16739, 9, 211, 6, 272, 6, 211, 6, 83, 6, 8, 272, 73, 250, 6, 70, 624, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50960, 51412, 50423, 50960, 52654, 50634, 51207, 50995, 51311, 50889, 50929, 53912, 53092, 51097, 51444, 50995, 51207, 57991, 53092, 50981, 51444, 50981, 72103, 61894, 51255, 50423, 50960, 53906, 52028, 50995, 50960, 50914, 50947, 55965, 51444, 51097, 52028, 50995, 51131, 57991, 51444, 50981, 52028, 50995, 51131, 50995, 61894, 51221, 50423, 50960, 52654, 51207, 50995, 50929, 51116, 51076, 51116, 50435, 73776, 50947, 52691, 50998, 51534, 50929, 51534, 50447, 70748, 51078, 53140, 51725, 50995, 50986, 51363, 50998, 51363, 50459, 50998, 61482, 50812, 61894, 51363, 51076, 51363, 50423, 73248, 50947, 53450, 51444, 51097, 51311, 51148, 50929, 65680, 50960, 56508, 51444, 51097, 51131, 51534, 51078, 51534, 50459, 70748, 50799, 51078, 51255, 50423, 50947, 53906, 51067, 51127, 50435, 51444, 54123, 52028, 51255, 50447, 51131, 52843, 50960, 51003, 50459, 64323, 72243, 51203, 50423, 51067, 52710, 51316, 64164, 51444, 51097, 50998, 51097, 50929, 59124, 51032, 51145, 60533, 51097, 50960, 51097, 51078, 60324, 51207, 50932, 51076, 51534, 50435, 51311, 54123, 50960, 51363, 50447, 50929, 76320, 53140, 51444, 50995, 50986, 51412, 51078, 51412, 50459, 68864, 60533, 50915, 50986, 51255, 51078, 51255, 50423, 50947, 53049, 68986, 51311, 50981, 50929, 56692, 51311, 51003, 50960, 57991, 72103, 51311, 51412, 50459, 69125, 60938, 51221, 50423, 51076, 52710, 51078, 51244, 50947, 51244, 50435, 51444, 52691, 52028, 51203, 50447, 51444, 53140, 53805, 51145, 50459, 64567, 50947, 60870, 51316, 50829, 60938, 51412, 51076, 51412, 50423, 50947, 52921, 51078, 51145, 50947, 51145, 50435, 51444, 52691, 52028, 51203, 50447, 51444, 52843, 53805, 51148, 50459, 50929, 62222, 59652, 51316, 50867, 60938, 51412, 51076, 51412, 50423, 50947, 52921, 51444, 50915, 50960, 51534, 51078, 51534, 50435, 50947, 54181, 51067, 51221, 50447, 51786, 52848, 51292, 50943, 51563, 50943, 65309, 50995, 50998, 51097, 50929, 51097, 51032, 60324, 51444, 50915, 64226, 72490, 51067, 54975, 51444, 51363, 50447, 51444, 54004, 51444, 50915, 61894, 51412, 50423, 50960, 53450, 51317, 51003, 50998, 56509, 51444, 59124, 71311, 51078, 50995, 60533, 58187, 51311, 51097, 50929, 57937, 51444, 51412, 50447, 51444, 52843, 51444, 50915, 73934, 51534, 50929, 51534, 50423, 66315, 50929, 52921, 61447, 50947, 54975, 51444, 59124, 51846, 50995, 51076, 50995, 60533, 60324, 51131, 51939, 51032, 51939, 50438, 52562, 51172, 50447, 52562, 54004, 51444, 50995, 50799, 51846, 51534, 51076, 51534, 50423, 51846, 50810, 51076, 52654, 51131, 51692, 51032, 51692, 50438, 52562, 51534, 50447, 52562, 54004, 51444, 50981, 60533, 50981, 51169, 51363, 51076, 51363, 50423, 51169, 50810, 51076, 52654, 51444, 50915, 50947, 51255, 51032, 51255, 50435, 64836, 51032, 53614, 51444, 50981, 50929, 51255, 51316, 51255, 50447, 64162, 51316, 52843, 51444, 50981, 72490, 51067, 50915, 61894, 51645, 50423, 50960, 52654, 51207, 50995, 51311, 51003, 50929, 56509, 53092, 51097, 51444, 51097, 51207, 59124, 53092, 50981, 51444, 50995, 51207, 50995, 61894, 51255, 50423, 50960, 53450, 52028, 50995, 50960, 50914, 50947, 55965, 51444, 50995, 52028, 50995, 51131, 57991, 51444, 50915, 52028, 50981, 73077, 61894, 51203, 50423, 50960, 52654, 51207, 50995, 50929, 51116, 51076, 51116, 50435, 69605, 50947, 53614, 50998, 51412, 50929, 51412, 50447, 70748, 51078, 53140, 51725, 50995, 50986, 51363, 50998, 51363, 50459, 50998, 50808, 51032, 50808, 61080, 51363, 50947, 51363, 50423, 79509, 50947, 52654, 51444, 51097, 51311, 51145, 50929, 64488, 50960, 57197, 51444, 51097, 51131, 51412, 51078, 51412, 50459, 62326, 50799, 51078, 51221, 50423, 50947, 52654, 51067, 51127, 50435, 51444, 52691, 52028, 51255, 50447, 51131, 52843, 50960, 51003, 50459, 73776, 72243, 51255, 50423, 51067, 52710, 51444, 51097, 51316, 51145, 50435, 50998, 52691, 50929, 55125, 51444, 51097, 51032, 51148, 50459, 70748, 50799, 51078, 55035, 51207, 51097, 51076, 51412, 50435, 51311, 52788, 50960, 51203, 50447, 50929, 58321, 50929, 54086, 51444, 51097, 51317, 51363, 51078, 51363, 50459, 59664, 60533, 50981, 51317, 51203, 51078, 51203, 50423, 50947, 53906, 72103, 50929, 56692, 68986, 51311, 51363, 50929, 51363, 50447, 51311, 50810, 50929, 52843, 52028, 50981, 64226, 68020, 60533, 50981, 51131, 51534, 50423, 51131, 52921, 72103, 51311, 51203, 50435, 50960, 54181, 50929, 51221, 50447, 51076, 59698, 51067, 54185, 51444, 51097, 76425, 51032, 51412, 50459, 74453, 67524, 60533, 50915, 50947, 51255, 51032, 51255, 50423, 73776, 50947, 52921, 51207, 77749, 51003, 51076, 56509, 51444, 50995, 51207, 51534, 50447, 51207, 52843, 51444, 50981, 73077, 50799, 52028, 51003, 50960, 51238, 50947, 51238, 50423, 50947, 52654, 68986, 50929, 51221, 51076, 51221, 50435, 51076, 52729, 51067, 51255, 50447, 51563, 53639, 51444, 51097, 51032, 51221, 51788, 51221, 50459, 67524, 52866, 50844, 60533, 50995, 51032, 51203, 51788, 51203, 50423, 60674, 51786, 52921, 68986, 51076, 51003, 51563, 56509, 51444, 50981, 51078, 51172, 51067, 51172, 50447, 51067, 53140, 68986, 64387, 51076, 50995, 60533, 50981, 51078, 51255, 51067, 51255, 50423, 51067, 52654, 50634, 51207, 51422, 50960, 51662, 50929, 51662, 51076, 51662, 50269, 50785, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 1121, 42, 5175, 25771, 2214, 6, 26432, 636, 3938, 22052, 8, 20642, 2323, 45552, 833, 19, 38668, 9590, 8, 21072, 6, 2351, 10, 15352, 30054, 648, 2933, 5466, 4, 20, 2125, 6, 278, 11, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 3136, 23, 10, 7212, 20889, 9, 11571, 163, 5683, 4, 13231, 5, 15229, 6, 5, 33215, 16739, 9, 163, 6, 3676, 6, 230, 6, 8, 211, 35315, 5705, 6, 1271, 7, 5, 2214, 18, 13363, 28191, 8, 24111, 1318, 6, 7630, 14805, 10, 1472, 9, 980, 8, 1007, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52803, 51012, 52246, 55572, 51460, 50417, 52803, 51012, 52246, 65061, 54033, 73131, 54033, 51012, 52246, 55572, 54631, 52876, 50950, 52246, 56421, 71667, 52876, 50950, 52876, 56896, 52876, 50950, 54033, 50950, 52246, 64917, 54033, 50950, 52803, 52827, 52246, 57174, 52803, 52827, 52246, 55572, 51460, 50441, 52246, 77942, 52246, 55572, 55230, 52246, 56421, 59727, 52246, 60343, 52246, 50950, 50799, 52803, 51012, 51874, 55572, 51460, 50417, 52803, 51012, 51874, 65061, 54033, 73131, 54033, 51012, 51874, 55572, 54631, 52876, 50950, 51874, 56421, 71667, 52876, 50950, 52876, 56896, 52876, 50950, 54033, 50950, 51874, 64917, 54033, 50950, 52978, 51745, 51874, 57174, 52978, 51745, 51874, 55572, 51460, 50441, 51874, 77942, 51874, 55572, 55230, 52803, 51237, 51874, 56421, 51054, 50453, 52803, 68287, 51874, 60343, 51874, 50950, 50799, 52803, 51012, 52020, 55572, 51460, 50417, 52803, 51012, 52020, 65061, 54033, 73131, 54033, 51012, 52020, 55572, 54631, 52876, 50950, 52020, 56421, 71667, 52876, 50950, 52876, 56896, 52876, 50950, 54033, 50950, 52020, 64917, 54033, 50950, 52803, 51012, 52020, 57174, 52803, 51012, 52020, 55572, 51460, 50441, 52803, 50950, 52020, 62894, 52803, 50950, 54033, 77942, 54033, 51012, 52020, 55572, 55230, 52876, 51012, 52020, 56421, 51054, 50453, 52876, 60345, 54033, 51012, 52020, 60343, 54033, 51012, 52020, 50950, 50799, 54148, 51653, 52429, 55572, 51460, 50417, 54148, 51653, 52429, 73131, 54148, 51653, 52429, 55572, 54631, 54148, 51653, 52429, 56421, 59984, 54148, 51012, 52429, 64917, 54148, 51012, 52429, 57174, 52837, 51653, 52429, 55572, 51460, 50441, 52837, 51653, 52429, 77942, 52837, 51653, 52429, 55572, 55230, 52837, 51653, 52429, 56421, 57241, 52837, 51012, 52429, 56701, 66120, 52837, 51012, 52429, 50950, 50799, 52803, 51012, 52246, 55572, 51460, 50417, 52803, 51012, 52246, 65061, 54033, 73131, 54033, 51012, 52246, 55572, 54631, 52876, 50950, 52246, 56421, 71667, 52876, 50950, 52876, 56896, 52876, 50950, 54033, 50950, 52246, 64917, 54033, 50950, 52803, 51012, 52246, 57174, 52803, 51012, 52246, 55572, 51460, 50441, 52803, 50950, 52246, 62894, 52803, 50950, 54033, 77942, 54033, 51012, 52246, 55572, 55230, 52876, 51012, 52246, 56421, 51054, 50453, 52876, 60345, 54033, 51012, 52246, 60343, 54033, 51012, 52246, 50950, 50799, 52803, 51012, 51874, 55572, 51460, 50417, 52803, 51012, 51874, 65061, 54033, 73131, 54033, 51012, 51874, 55572, 54631, 52876, 50950, 51874, 56421, 71667, 52876, 50950, 52876, 56896, 52876, 50950, 54033, 50950, 51874, 64917, 54033, 50950, 52978, 51012, 51874, 57174, 52978, 51012, 51874, 55572, 51460, 50441, 52978, 51012, 51874, 62894, 52978, 77942, 52978, 50950, 51874, 55572, 55230, 52978, 50950, 52803, 51012, 51874, 56421, 51054, 50453, 52803, 60345, 52803, 51012, 51874, 60343, 52803, 51012, 51874, 50950, 50799, 52803, 51012, 52020, 55572, 51460, 50417, 52803, 51012, 52020, 65061, 54033, 73131, 54033, 51012, 52020, 55572, 54631, 52876, 50950, 52020, 56421, 71667, 52876, 50950, 52876, 56896, 52876, 50950, 54033, 50950, 52020, 64917, 54033, 50950, 52803, 51012, 52020, 57174, 52803, 51012, 52020, 55572, 51460, 50441, 52803, 50950, 52020, 62894, 52803, 50950, 54033, 77942, 54033, 51012, 52020, 55572, 55230, 52876, 51012, 52020, 56421, 51054, 50453, 52876, 60345, 54033, 51012, 52020, 60343, 54033, 51012, 52020, 50950, 50799, 54148, 51653, 52429, 55572, 51460, 50417, 54148, 51653, 52429, 73131, 54148, 51653, 52429, 55572, 54631, 54148, 51653, 52429, 56421, 59984, 54148, 51012, 52429, 64917, 54148, 51012, 52429, 57174, 54148, 51012, 52429, 55572, 51460, 50441, 54148, 51012, 52429, 62894, 52978, 61723, 52978, 50950, 52837, 51012, 52429, 55572, 55230, 52837, 51012, 52429, 56421, 68458, 52978, 57251, 52978, 50950, 54148, 51761, 52429, 56701, 66120, 54148, 50950, 52429, 50950, 73411, 55572, 70094, 60845, 52246, 66311, 55446, 50920, 57625, 52246, 57654, 54856, 53410, 51012, 52246, 56421, 70094, 50882, 53666, 53917, 53410, 51012, 52246, 57654, 57836, 52246, 57654, 55381, 61405, 50950, 52246, 55572, 70094, 61618, 53410, 51012, 52246, 66311, 55920, 50920, 57674, 61405, 51653, 52246, 57654, 54988, 52246, 56421, 51054, 51068, 50894, 54287, 54403, 56531, 51761, 52246, 64137, 57308, 52246, 57654, 50882, 62147, 55572, 70094, 60845, 51874, 66311, 55446, 50920, 57625, 51874, 57654, 54856, 53410, 51012, 51874, 56421, 70094, 50882, 53666, 53917, 53410, 51012, 51874, 57654, 57836, 51874, 57654, 55381, 54708, 51012, 51874, 55572, 70094, 61618, 51874, 66311, 55920, 53410, 66311, 57674, 51874, 57654, 54988, 61405, 50950, 51874, 56421, 51054, 51068, 56328, 53410, 66311, 54403, 51874, 64137, 57308, 53410, 51653, 51874, 57654, 50882, 63719, 55572, 70094, 60845, 52020, 66311, 55446, 61405, 66311, 57625, 52020, 57654, 54856, 61405, 50950, 52020, 56421, 70094, 58465, 56531, 66311, 53917, 52020, 57654, 57836, 56531, 51653, 52020, 57654, 55381, 52020, 55572, 70094, 61618, 52020, 66311, 55920, 56511, 66311, 57674, 52020, 57654, 54988, 56511, 51012, 52020, 56421, 51054, 51068, 50894, 54287, 54403, 54841, 51012, 52020, 64137, 57308, 52020, 57654, 50882, 50799, 60819, 56769, 52429, 55572, 70094, 60845, 52429, 66311, 55446, 50920, 57625, 52429, 57654, 54856, 52429, 56421, 70094, 50882, 53666, 53917, 52429, 57654, 57836, 52429, 57654, 55381, 52429, 55572, 70094, 61618, 52429, 66311, 55920, 50920, 57674, 52429, 57654, 54988, 52429, 56421, 51054, 51068, 50894, 54287, 54403, 52429, 64137, 57308, 52429, 57654, 50882, 73411, 55572, 70094, 60845, 52246, 66311, 55446, 50920, 57625, 52246, 57654, 54856, 53410, 51012, 52246, 56421, 70094, 50882, 53666, 53917, 53410, 51012, 52246, 57654, 57836, 52246, 57654, 55381, 61405, 51012, 52246, 55572, 70094, 61618, 52246, 66311, 55920, 53410, 57654, 57674, 61405, 51653, 52246, 57654, 54988, 52246, 56421, 51054, 51068, 50894, 54287, 54403, 56531, 51761, 52246, 64137, 57308, 52246, 57654, 50882, 62147, 55572, 70094, 60845, 51874, 66311, 55446, 50920, 57625, 51874, 57654, 54856, 53410, 51012, 51874, 56421, 70094, 50882, 53666, 53917, 53410, 51012, 51874, 57654, 57836, 51874, 57654, 55381, 54708, 51012, 51874, 55572, 70094, 61618, 51874, 66311, 55920, 53410, 66311, 57674, 51874, 57654, 54988, 61405, 51012, 51874, 56421, 51054, 51068, 50894, 54287, 54403, 53410, 51012, 51874, 64137, 57308, 51874, 57654, 50882, 50799, 53410, 51012, 52020, 55572, 70094, 60845, 52020, 66311, 55446, 61405, 66311, 57625, 52020, 57654, 54856, 61405, 50950, 52020, 56421, 70094, 58465, 56531, 66311, 53917, 52020, 57654, 57836, 56531, 51653, 52020, 57654, 55381, 52020, 55572, 70094, 61618, 52020, 66311, 55920, 56511, 66311, 57674, 52020, 57654, 54988, 56511, 51012, 52020, 56421, 51054, 51068, 50894, 54287, 54403, 56531, 51237, 52020, 64137, 57308, 52020, 57654, 50882, 70974, 55572, 70094, 60845, 52429, 66311, 55446, 63000, 56769, 50920, 57625, 52429, 57654, 54856, 52429, 56421, 70094, 50882, 53666, 53917, 52429, 57654, 57836, 52429, 57654, 55381, 52429, 55572, 70094, 61618, 52429, 66311, 55920, 50920, 57674, 52429, 57654, 54988, 52429, 56421, 51054, 51068, 50894, 54287, 54403, 52429, 64137, 57308, 52429, 57654, 50882, 73411, 55572, 70094, 60845, 52246, 66311, 55446, 50920, 57625, 52246, 57654, 54856, 53410, 51012, 52246, 56421, 70094 ]

[ 0, 713, 14899, 3495, 3152, 2214, 11, 272, 538, 22750, 1626, 11098, 8, 657, 149, 63, 15352, 30054, 2301, 4, 20, 3459, 8, 21979, 29589, 6, 3152, 6757, 6, 3459, 9590, 6, 8, 32909, 1962, 1572, 7, 1045, 10, 31612, 8, 12298, 5466, 4, 590, 10, 1769, 20889, 9, 24543, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 16, 17407, 30, 5, 5705, 16331, 33215, 16739, 9, 272, 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 ]

[ 59626, 52622, 51570, 50928, 50799, 52622, 67882, 51570, 54485, 51069, 56697, 51205, 50995, 52622, 52534, 51411, 51334, 51178, 51924, 78706, 53423, 51390, 51008, 51893, 56800, 50832, 52927, 51924, 50937, 52004, 51654, 52210, 50964, 50937, 51390, 50987, 51893, 61525, 52396, 51019, 51253, 51334, 50892, 51924, 51212, 51068, 52100, 53173, 50798, 50820, 52354, 51377, 51893, 51178, 52700, 78706, 53423, 52004, 51008, 54280, 56800, 50832, 52927, 70043, 52700, 50937, 54193, 51654, 52950, 51011, 51480, 50798, 52210, 52004, 50987, 54280, 65295, 51415, 51412, 51893, 50892, 52700, 51212, 51068, 52100, 53173, 50798, 50820, 54272, 51377, 51334, 51178, 51924, 78706, 53423, 51390, 51008, 51893, 56800, 50832, 52927, 51924, 50937, 52004, 51654, 52210, 50945, 50987, 51390, 50987, 51893, 61525, 52396, 51213, 51480, 51334, 50892, 51924, 51212, 51068, 52100, 53173, 50798, 50820, 52563, 51241, 51209, 51310, 51390, 71941, 52437, 50832, 52927, 51069, 51363, 51590, 64132, 52210, 51096, 51221, 51334, 56777, 52396, 51390, 51111, 51068, 52100, 53173, 51205, 57685, 50820, 52534, 51411, 51334, 51178, 51924, 78706, 54925, 51829, 51079, 52328, 61544, 51982, 51210, 52463, 51174, 51390, 51008, 51893, 56800, 50832, 52927, 51924, 50937, 52004, 51654, 57201, 52328, 68630, 52836, 57997, 52463, 51753, 51982, 51481, 50964, 50937, 51390, 50987, 51893, 61525, 52396, 52328, 51008, 51019, 51253, 51334, 50892, 51924, 51212, 51068, 52100, 57150, 51829, 51142, 53462, 50820, 50799, 53329, 50972, 52463, 51481, 50945, 51377, 51893, 51178, 52700, 78706, 58158, 52836, 71437, 55193, 75912, 52004, 51008, 54280, 56800, 50832, 52927, 53329, 51174, 70043, 52700, 50937, 54193, 51654, 56802, 54753, 51481, 57876, 51480, 50798, 52210, 52836, 51079, 55193, 51481, 52004, 50987, 54280, 61525, 52396, 52463, 50933, 51415, 51412, 51893, 50892, 52700, 51212, 51068, 52100, 57150, 53329, 51051, 50799, 52328, 50974, 51133, 51377, 51334, 51178, 51924, 78706, 54925, 51829, 51074, 50422, 51982, 51174, 52463, 51365, 50423, 51390, 51008, 51893, 56800, 50832, 52927, 52836, 50972, 51924, 50937, 52004, 51654, 57201, 52328, 73505, 52463, 50972, 51982, 51174, 50945, 50987, 51390, 50987, 51893, 61525, 52396, 51829, 50838, 52328, 50978, 51213, 51480, 51334, 50892, 51924, 51212, 51068, 52100, 53173, 50798, 50820, 50799, 51982, 51310, 50953, 51241, 51209, 51310, 51390, 71941, 52437, 50832, 52927, 51069, 51363, 51590, 64132, 57201, 52333, 56350, 51829, 51254, 51096, 51221, 51334, 56777, 52396, 51982, 51079, 51390, 51111, 51068, 52100, 53173, 51205, 57685, 50820, 50799, 56170, 51051, 50964, 51310, 51332, 51677, 50988, 51310, 50885, 51312, 71770, 51209, 51189, 52358, 55614, 50909, 51312, 51039, 52641, 51829, 51008, 51953, 50851, 50909, 51254, 77734, 50885, 51470, 54161, 52139, 52927, 53455, 50851, 50964, 51056, 50988, 51310, 50885, 51283, 50868, 51283, 51334, 51267, 52358, 51949, 57004, 50909, 51310, 50437, 56026, 52691, 56170, 50912, 52093, 50439, 54890, 55103, 56026, 50905, 51953, 50933, 51829, 50933, 50964, 50937, 51209, 51351, 52358, 51949, 57723, 61384, 52985, 51019, 50978, 50988, 51312, 50885, 51199, 71770, 54161, 52139, 57150, 50909, 51199, 51068, 53173, 56026, 51346, 51829, 50827, 51019, 50978, 54967, 76641, 50799, 52301, 51051, 50945, 51241, 51164, 51677, 50946, 51145, 78007, 50872, 51310, 51256, 51115, 52358, 55614, 75971, 50418, 54890, 50974, 51039, 52641, 51829, 56062, 51044, 52139, 57286, 51859, 52739, 52301, 50851, 50945, 62033, 51254, 75814, 50885, 51470, 51334, 50943, 55418, 51949, 52742, 51011, 51253, 62443, 50885, 51312, 77548, 52358, 56068, 71972, 50443, 51859, 50851, 51829, 53086, 51229, 51177, 54164, 52743, 51415, 51480, 50946, 51312, 50885, 51199, 77548, 51256, 51203, 54161, 52139, 57150, 74366, 51068, 53173, 52358, 76641, 54272, 51417, 51332, 51677, 50988, 51310, 50885, 51312, 71770, 51366, 51203, 52358, 55614, 56170, 51174, 50909, 51312, 50420, 51334, 51337, 55239, 51829, 51051, 51953, 50851, 50909, 51254, 77734, 50885, 51470, 51366, 51212, 54161, 52139, 52927, 50988, 51310, 50885, 51199, 50868, 51199, 51209, 51003, 52358, 51949, 57004, 56170, 51051, 50909, 79881, 60616, 51049, 54735, 61384, 71892, 50945, 50987, 74878, 50868, 51470, 50885, 51824, 51334, 50905, 52358, 51949, 57013, 60616, 50901, 52301, 60333, 51953, 51174, 51829, 50838, 51213, 51480, 50988, 51312, 64060, 63299, 51366, 51534, 54161, 52139, 57150, 63788, 50978, 72537, 51068, 53173, 60616, 62641, 53680, 50308, 51470, 50885, 51824, 54967, 51949, 57077, 53455, 50955, 52563, 51241, 50988, 51310, 73552, 77643, 51408, 50972, 52358, 55614, 50935, 51312, 50420, 61384, 50933, 51676, 50857, 52333, 50840, 51982, 50904, 53076, 50972, 55239, 51676, 50857, 52333, 50840, 51982, 50904, 50935, 51254, 68161, 50848, 51470, 51229, 51058, 54161, 52139, 52927, 51069, 50981, 50988, 51310, 50848, 51283, 50847, 51283, 51229, 51775, 51893, 51775, 52358, 51949, 57004, 50935, 76810, 78086, 50867, 51982, 50941, 52093, 50444, 51676, 50813, 52333, 50813, 51982, 50851, 51096, 51377, 51209, 50974, 51924, 50972, 52358, 51949, 52743, 50988, 51312, 50848, 51199, 77643, 51256, 50972, 51390, 50972, 54161, 52139, 57150, 50935, 51199, 51068, 53173, 51205, 50974, 54967, 76641, 50799, 56170, 51051, 50964, 51742, 51332, 51677, 50988, 51310, 50885, 51312, 71770, 51209, 51204, 51334, 51115, 52358, 55614, 50909, 51312, 51039, 52641, 51829, 51008, 51953, 50851, 50909, 51254, 77734, 50885, 51470, 54161, 52139, 52927, 53455, 50851, 50988, 51310, 50885, 51199, 50868, 51199, 51209, 51446, 52358, 51949, 57004, 54890, 51423, 50909, 79881, 56170, 50912, 52093, 50444, 54890, 50933, 51953, 50933, 51829, 50933, 50964, 50937, 74878, 50868, 51470, 50885, 51824, 51334, 51310, 52358, 51949, 57723, 54890, 60333, 51019, 51253, 50988, 51312, 64060, 63299, 51366, 51109, 54161, 52139, 57150, 72537, 51068, 53173, 54890, 51199, 51829, 50827, 50909, 53680, 50308, 51470, 50885, 51824, 54967, 76641, 50799, 52301, 51051, 50945, 51241, 51164, 51677, 50946, 51310, 50885, 51312, 77548, 52358, 55614, 71972, 50418, 56026, 50851, 51039, 58092, 54890, 68033, 51829, 50874, 72297, 75814, 50885, 51470, 54161, 52139, 57286, 51859, 52739, 52301, 50851, 70043, 50946, 51310, 50885, 51199, 50872, 51199, 51334, 51295, 55418, 51949, 57004, 71972, 57876, 51253, 52358, 58829, 51859, 50851, 51829, 53086, 69501, 50872, 51470, 50885, 51824, 51229, 51233, 54164, 52743, 51415, 51480, 50946, 51312, 50885, 51199, 77548, 51256, 51363, 54161, 52139, 57150, 74366, 51068, 53173, 54967, 76641, 54272, 51417, 51332, 51677, 50988, 51310, 50885, 51312, 71770, 51334, 51677, 51209, 51218, 52358, 55614, 56170, 51174, 50909, 51312, 51039, 52641, 51829, 51051, 51953, 50851, 50909, 51254, 77734, 50885, 51470, 54161, 52139, 52927, 50988, 51310, 50885, 51283, 50868, 51283, 51366, 51109, 52358, 51949, 57004, 56170, 51051, 50909, 76810, 60616, 50844, 52093, 50440, 61384, 69877, 50945, 50987, 51209, 51654, 51044, 51949, 57013, 52301, 51051, 50446, 60616, 55514, 63788, 50838, 51953, 51174, 51829, 50838, 51213, 51480, 50988, 51312, 50885, 51199, 71770, 54161, 52139, 57150, 50909, 51199, 51068, 53173, 60616, 50943, 54967, 76641, 79255, 50904, 52333, 50891, 51982, 50907, 50953, 51241, 50988, 51312, 73552, 77643, 51590, 50873, 52358, 55614, 50935, 51312 ]

[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 8787, 15229, 30853, 23, 10, 7212, 20889, 11, 381, 538, 4, 20, 6755, 12547, 1239, 5, 483, 6, 2800, 30, 5, 4066, 23225, 9, 2342, 4467, 6, 17691, 28430, 6, 9590, 3863, 6, 8, 6168, 3540, 4, 590, 10, 16331, 33215, 16739, 9, 163, 6, 381, 6, 83, 6, 8, 381, 6, 24, 7630, 6568, 10, 1472, 9, 4149, 8, 11926, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4391, 4, 20, 204, 73, 306, 86, 6543, 1639, 10, 5204, 4811, 13, 5, 930, 7, 1119, 2115, 6, 3284, 2351, 41, 9066, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50439, 53064, 51333, 54536, 51330, 55465, 73786, 53064, 50974, 54536, 51079, 55465, 51079, 50799, 52196, 51148, 53389, 52140, 58890, 51592, 55465, 51703, 54670, 51703, 54246, 51748, 50442, 53064, 51709, 54536, 51806, 55465, 52188, 50453, 52196, 51253, 55465, 51806, 54670, 51806, 50799, 53339, 51412, 54670, 51852, 55826, 51852, 50425, 53339, 51878, 53389, 52727, 58890, 51243, 54670, 51447, 55826, 52263, 54246, 53233, 50446, 53916, 51749, 54668, 51965, 52177, 53060, 52263, 54668, 52431, 50418, 54012, 51535, 50439, 52601, 51448, 53389, 52727, 58890, 51922, 55455, 52263, 50457, 53916, 51627, 54670, 52263, 54668, 51965, 79254, 53339, 51535, 53013, 52263, 54668, 52263, 50450, 54012, 52071, 53389, 52727, 58890, 52727, 55465, 52431, 54668, 52783, 54246, 58651, 50796, 50441, 54670, 52263, 50442, 55465, 51961, 50443, 53916, 51283, 50461, 52196, 51627, 57633, 52727, 65466, 52727, 55465, 52263, 55455, 51965, 66243, 52541, 51749, 55727, 52263, 55455, 52263, 50454, 52196, 51310, 55465, 51965, 55455, 51965, 59412, 52196, 51310, 55430, 55490, 55120, 54171, 53013, 51965, 55455, 51671, 50444, 53339, 51680, 53013, 51447, 59412, 53916, 51097, 54670, 51330, 55455, 51330, 50437, 52601, 51742, 62146, 54573, 60630, 53866, 55455, 52783, 59766, 53142, 52478, 53916, 50932, 54670, 52188, 50428, 53339, 51709, 53013, 51806, 55455, 51447, 50438, 52196, 51534, 55465, 51852, 50449, 52196, 51080, 56617, 51922, 57921, 51748, 55465, 51447, 54670, 52431, 54246, 52829, 60212, 52541, 53280, 55727, 51965, 50442, 53064, 51806, 55444, 51806, 53013, 51806, 50457, 53064, 50978, 55444, 51142, 53013, 51142, 51601, 52196, 51803, 50711, 50289, 52720, 59439, 52988, 56847, 52988, 54536, 52263, 55465, 51447, 50442, 53064, 51199, 54536, 51806, 55465, 51806, 50453, 52196, 51480, 55465, 52188, 54670, 52188, 50799, 53339, 51423, 54670, 51797, 55826, 51797, 50425, 53339, 51627, 59439, 52503, 56847, 52727, 54670, 51671, 55826, 52783, 50446, 53916, 51535, 54668, 51965, 52177, 54668, 52783, 50418, 54012, 51535, 53060, 52263, 50437, 52601, 51535, 59439, 52988, 56847, 52988, 55455, 52263, 50457, 53916, 51878, 54670, 51965, 54668, 51965, 75695, 53339, 51878, 53013, 52263, 54668, 52263, 50450, 54012, 52222, 53389, 52988, 58890, 52988, 55465, 52783, 54668, 52783, 54246, 58651, 50796, 50442, 53916, 51283, 55465, 52263, 54670, 52263, 50461, 52196, 51535, 57633, 52503, 65466, 52727, 55727, 52263, 53699, 52263, 58699, 53201, 50796, 50434, 52541, 51878, 55727, 52263, 53699, 52263, 50455, 52196, 51310, 55727, 51965, 53699, 51965, 69341, 52196, 51749, 56617, 52503, 57921, 52727, 54670, 55844, 54668, 52263, 50446, 53339, 52783, 55826, 52263, 53069, 53060, 52263, 50427, 53916, 51419, 50440, 52601, 51742, 53013, 55844, 55455, 52431, 52591, 53339, 51709, 50430, 52196, 51380, 56617, 52147, 57921, 52212, 54670, 52263, 50441, 52541, 51330, 50453, 52196, 52783, 53389, 53866, 58890, 53866, 55465, 52783, 54670, 52783, 58916, 53588, 50796, 50444, 53064, 50981, 58391, 52188, 54670, 51330, 54246, 51466, 50460, 53064, 50892, 58391, 58643, 54670, 55844, 54246, 50984, 52478, 50628, 53064, 52168, 54012, 51790, 56617, 53588, 57921, 53142, 64616, 52783, 54246, 53201, 50442, 70873, 53064, 51576, 53916, 51253, 54668, 52188, 50454, 53064, 51709, 53339, 51253, 55826, 51806, 51601, 53064, 50904, 53916, 51003, 54668, 77008, 52601, 51452, 67792, 57820, 56617, 55490, 57921, 54171, 55455, 52263, 54668, 52783, 50455, 53916, 51312, 54670, 52188, 55826, 51806, 51809, 53339, 51199, 53013, 51852, 55455, 51806, 50427, 52196, 50915, 55465, 52188, 54670, 51806, 50438, 52541, 51448, 55727, 51965, 53013, 51447, 50461, 67792, 55812, 52196, 51448, 54536, 52263, 55465, 52263, 54246, 54228, 50796, 50433, 67792, 54532, 53780, 51878, 54536, 52263, 52915, 52263, 54246, 51703, 50454, 52695, 54532, 67792, 53486, 54536, 52263, 55727, 52431, 54649, 52519, 59412, 53064, 51961, 55444, 52263, 54246, 52441, 50444, 53064, 50915, 58391, 51330, 54670, 51330, 54246, 51576, 50460, 53064, 50892, 58391, 50912, 54670, 53142, 54246, 50822, 53069, 53064, 52980, 54012, 51742, 56617, 51592, 57921, 51939, 58391, 55174, 64616, 51447, 54246, 51313, 50449, 53064, 52378, 53916, 51253, 54668, 51806, 50460, 53064, 52378, 53339, 51775, 55826, 52188, 55753, 53064, 51333, 53916, 51003, 54668, 51806, 50432, 54012, 50981, 67792, 57820, 56617, 52335, 57921, 52062, 55455, 51749, 54668, 52015, 50443, 52601, 51318, 50799, 53916, 50995, 54670, 51484, 55826, 51381, 50423, 53339, 51679, 53013, 51542, 55455, 51381, 50433, 52196, 51277, 55465, 51097, 54670, 50932, 50445, 52196, 51381, 55727, 51477, 53013, 51283, 50460, 52541, 51008, 52478, 67792, 53280, 52541, 52263, 56617, 52407, 57921, 51878, 55727, 51878, 53013, 51477, 54246, 52598, 50438, 67792, 52519, 52196, 51448, 57633, 52598, 65466, 51244, 54536, 51749, 53013, 51749, 54246, 52263, 50457, 52032, 51244, 67792, 52916, 53817, 51490, 56199, 51145, 53013, 55408, 54670, 51939, 54246, 52140, 50796, 50430, 53339, 51677, 55148, 51314, 59191, 51183, 50452, 67792, 57941, 67792, 52011, 54670, 51330, 54246, 51576, 52478, 67792, 54618, 67792, 51365, 54670, 51142, 54246, 64999, 67792, 71133, 67792, 52441, 54670, 53142, 54246, 52256, 50431, 53064, 51709, 50441, 67792, 52519, 52541, 51627, 53541, 51878, 61277, 51562, 53013, 50995, 54246, 51466, 50461, 67792, 54557, 50799, 52196, 51535, 53389, 52263, 58890, 51397, 53013, 51419, 54246, 51965, 50434, 53916, 51244, 67792, 54171, 55148, 52727, 59191, 51293, 53013, 51293, 54246, 51671, 50458, 53339, 51922, 50796, 50796, 50435, 53064, 51333, 50452, 53064, 51277, 50459, 52196, 52783, 50711, 50289, 54373, 53389, 54573, 58890, 52431, 50460, 52225, 54373, 52225, 51801, 53828, 51801, 52033, 54373, 55465, 51447, 54536, 51447, 54246, 63712, 51266, 54373, 51266, 51801, 51733, 51801, 51301, 54373, 50796, 50439, 53064, 51199, 50440, 54536, 77131, 55465, 51753, 50449, 52196, 51312, 55465, 51254, 54670, 51254, 50460, 53339, 51534, 54670, 51142, 55826, 51797, 57731, 53339, 52598, 53389, 54573, 58890, 53866, 54670, 53142, 55826, 51878, 50443, 53916, 51749, 54668, 51477, 51601, 54012, 51310, 53060, 51448, 54668, 52140, 50433, 52601, 51397, 53389, 53588, 51656, 52337, 52430, 52337, 52430, 52121, 55815, 52121, 58890, 53142, 55455, 51419, 51113, 52337, 51284, 52337, 51284, 52121, 52487, 52121, 50454, 53916, 51627, 54670, 51283, 54668, 51961, 59412, 53339, 51637, 53013, 51542, 54668, 51965, 50443, 54012, 52222, 53389, 55776, 58890, 55776, 55465, 51803, 54668, 52783, 54246, 51671, 61627, 53916, 51283, 55465, 52263, 54670, 51447, 50457, 52196, 51627, 57633, 56599, 65466, 56599, 55727, 51965, 53699, 51965, 58699, 55597, 79254, 52541, 51749, 55727, 51961, 53699, 51961, 50449, 52196, 51477, 55727, 52263, 53699, 51965, 55753, 52196, 51749, 56617, 56599, 57921, 56599, 54670, 55844, 54668, 52263, 50440, 53339, 51680, 55826, 51965, 50461, 53060, 52263, 56020, 53916, 51419, 50435, 52601, 51742, 53013, 53233, 55455, 53142, 51601, 53339, 54869, 52196, 51484, 56617, 52440, 57921, 52147, 54670, 52263, 50436, 52541, 50932, 50448, 52196, 52140, 53389, 52212, 58890, 52212, 55465, 52783, 54670, 52783, 58916, 53588, 50455, 51883, 50984, 51794, 50984, 51301, 71490, 51883, 50984, 51794, 50984, 51301, 50984, 53069, 51883, 50984, 51794 ]

[ 0, 4688, 20425, 5175, 19834, 4246, 2662, 271, 6, 6755, 12547, 6, 38668, 2236, 6, 21072, 6, 8, 2342, 4467, 6, 2351, 10, 25306, 5466, 19, 10, 11739, 9, 814, 8, 15073, 4, 8504, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 3136, 23, 41, 12447, 1001, 20889, 6, 22690, 10, 33215, 16739, 9, 211, 119, 6, 230, 401, 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 ]

[ 57739, 50791, 50838, 51544, 50974, 51570, 50974, 52320, 50974, 57739, 50755, 50335, 51080, 50755, 50338, 50873, 50755, 50342, 52025, 72847, 57410, 50755, 50338, 50914, 50755, 50345, 55574, 50426, 50755, 50342, 51391, 50432, 50755, 50340, 50807, 50755, 50328, 56692, 64619, 51314, 50755, 50338, 51295, 50444, 50755, 50342, 51003, 50755, 50345, 52167, 61759, 51627, 50450, 50755, 50335, 56711, 50755, 50335, 51376, 50755, 50337, 50943, 50755, 50349, 51183, 50799, 50755, 50333, 50892, 50755, 50340, 54177, 50755, 50337, 51127, 50755, 50340, 58309, 50755, 50347, 53024, 50755, 50340, 56217, 50755, 50333, 50915, 50755, 50345, 51337, 50438, 50755, 50331, 50892, 50755, 50343, 52815, 50755, 50330, 50892, 50755, 50342, 53794, 50755, 50328, 50981, 50755, 50340, 50807, 50755, 50342, 54481, 50755, 50330, 50892, 50755, 50342, 50805, 50799, 50755, 50328, 50932, 50755, 50331, 51310, 50755, 50338, 51253, 50755, 50340, 51013, 50415, 74075, 52151, 50426, 72847, 50981, 50755, 50338, 62138, 50755, 50347, 50995, 50755, 50335, 66744, 50755, 50338, 50943, 50755, 50342, 52518, 50444, 50755, 50331, 50915, 50755, 50343, 51400, 50450, 50755, 50347, 50873, 50755, 50335, 61157, 50755, 50342, 55293, 64013, 54171, 60028, 55490, 61759, 51945, 50755, 50335, 50959, 50755, 50342, 51991, 50459, 50755, 50334, 52335, 76501, 52182, 51058, 59308, 50974, 50755, 50335, 50905, 50755, 50342, 59435, 52155, 51058, 59308, 51254, 60028, 50905, 50755, 50337, 50893, 50799, 52315, 51380, 59308, 51310, 64619, 51310, 50755, 50338, 50807, 50755, 50342, 54869, 52315, 51380, 50755, 50344, 51851, 61759, 51318, 50755, 50342, 76980, 50755, 50345, 72605, 64619, 50995, 50755, 50338, 52424, 52315, 51380, 50755, 50302, 52782, 50444, 64013, 51318, 64619, 51330, 61759, 50981, 50755, 50342, 51318, 50755, 50344, 60678, 51752, 51058, 50755, 50335, 58843, 52315, 51058, 64619, 50892, 50755, 50338, 50879, 50799, 52155, 51097, 59455, 50995, 60028, 51159, 60792, 51183, 50755, 50337, 51285, 50755, 50344, 55382, 53124, 51380, 59455, 50914, 60028, 50984, 50755, 50340, 50981, 50433, 59308, 58346, 52182, 51380, 59308, 51159, 50755, 50335, 50914, 50755, 50342, 51003, 50441, 50755, 50339, 62622, 64619, 51079, 50755, 50345, 63050, 52182, 51058, 59308, 50905, 64619, 51079, 50755, 50330, 51576, 50755, 50335, 50915, 50755, 50342, 54771, 52155, 51058, 60028, 50886, 60792, 50838, 50755, 50337, 50849, 50799, 52315, 51380, 50755, 50338, 51496, 50755, 50342, 51097, 50755, 50345, 50981, 59308, 51452, 64619, 70506, 50755, 50302, 52782, 50426, 52315, 51380, 50432, 64619, 51115, 50755, 50342, 51109, 50755, 50333, 51134, 50755, 50338, 51343, 50438, 52315, 51380, 50444, 64013, 51477, 50755, 50342, 57991, 51752, 51380, 59308, 50892, 50755, 50335, 59827, 59308, 50905, 64619, 50849, 50755, 50338, 50923, 50799, 52155, 51097, 60792, 51047, 50755, 50337, 51091, 50755, 50344, 51312, 50415, 59455, 51312, 50416, 60028, 77399, 53124, 51058, 59455, 50889, 60028, 50905, 50755, 50340, 57421, 52182, 51058, 59308, 50892, 50755, 50335, 66744, 52182, 51058, 59455, 50867, 59308, 50914, 50755, 50339, 54071, 50441, 50755, 50345, 53096, 50444, 52182, 51058, 64619, 58959, 52182, 51058, 52182, 51058, 59308, 51058, 50755, 50335, 50889, 50755, 50342, 54509, 52155, 51058, 60028, 50974, 50755, 50337, 50849, 50755, 50344, 51432, 50799, 52315, 51380, 50755, 50342, 51097, 64619, 51115, 50755, 50338, 50795, 50755, 50345, 72497, 50755, 50302, 54848, 50755, 50338, 51631, 52315, 51380, 61759, 51310, 50755, 50338, 50845, 50755, 50342, 51310, 50432, 64619, 51115, 50755, 50338, 51013, 50755, 50345, 65184, 52315, 51380, 50444, 61759, 51115, 59308, 55811, 50450, 51752, 51058, 50755, 50335, 51253, 50755, 50342, 51043, 50755, 50345, 66614, 52315, 51058, 50755, 50338, 50795, 64619, 50892, 50799, 52155, 51097, 59455, 51097, 60028, 51127, 50755, 50341, 50941, 50755, 50337, 51274, 50416, 50755, 50340, 70304, 50755, 50341, 51166, 50755, 50344, 54278, 53124, 51380, 59455, 51043, 50755, 50333, 57421, 50755, 50335, 58952, 59455, 54123, 52182, 51380, 50755, 50342, 50981, 50755, 50299, 51490, 59308, 62682, 64619, 64533, 52182, 51058, 50755, 50342, 50905, 59308, 50938, 64619, 59435, 52155, 51058, 59308, 50901, 60028, 50959, 50755, 50337, 51060, 50755, 50341, 50984, 50799, 52315, 51380, 74075, 51312, 59308, 50943, 50755, 50331, 51056, 50755, 50338, 51242, 50420, 50755, 50342, 51210, 50423, 50755, 50338, 51742, 50426, 52315, 51380, 59308, 51103, 50755, 50331, 51330, 50755, 50335, 50914, 50755, 50342, 57937, 52315, 51380, 74075, 51490, 64619, 51333, 50755, 50342, 51328, 50447, 50755, 50342, 55634, 51752, 51380, 58113, 50981, 50755, 50335, 50943, 50755, 50340, 50807, 50799, 52155, 51380, 59455, 51077, 60028, 50914, 50755, 50344, 51242, 50755, 50337, 50807, 50755, 50340, 57437, 50755, 50341, 65933, 52155, 51380, 60028, 50889, 50755, 50337, 51013, 50755, 50340, 68766, 50755, 50341, 51824, 50755, 50344, 69397, 52315, 51380, 64619, 51101, 50755, 50338, 50924, 50755, 50340, 50978, 50755, 50342, 50907, 59455, 64486, 60028, 50959, 50755, 50338, 51798, 51752, 51775, 64619, 51051, 50755, 50338, 50924, 50755, 50340, 51090, 58113, 58705, 64619, 50907, 50755, 50337, 67419, 64619, 51252, 50799, 52315, 51749, 59308, 51742, 64619, 50892, 50755, 50338, 51343, 50755, 50342, 50915, 50755, 50345, 57410, 64619, 79416, 61759, 51058, 50755, 50342, 53705, 51752, 51244, 58113, 51101, 61759, 50905, 50755, 50340, 51362, 50438, 64619, 64632, 64013, 51115, 58113, 51008, 50755, 50342, 51003, 61759, 55247, 59308, 54771, 52155, 51244, 59308, 50974, 60028, 51103, 50755, 50337, 51551, 50755, 50344, 51097, 50799, 59455, 60115, 50755, 50301, 51466, 50421, 50755, 50341, 74907, 50755, 50333, 50915, 50755, 50340, 53052, 51752, 51058, 58113, 56692, 52161, 51008, 63953, 51079, 50755, 50331, 51016, 50755, 50338, 51177, 50755, 50343, 52692, 51596, 51008, 50755, 50342, 50795, 61759, 54323, 51752, 51328, 58113, 50901, 61759, 50892, 50755, 50340, 50896, 50755, 50342, 52961, 51596, 51008, 50755, 50342, 51060, 61759, 50866, 50755, 50337, 51043, 58113, 50987, 72849, 51328, 50755, 50344, 51365, 58113, 50943, 61759, 50844, 50755, 50340, 51362, 50420, 52315, 51008, 64619, 51254, 50755, 50338, 55035, 52315, 52015, 50755, 50342, 51174, 64619, 50901, 50755, 50338, 51196, 50432, 59308, 51183, 64619, 51003, 50755, 50335, 50889, 50755, 50342, 53264, 74075, 71158, 64619, 51074, 50755, 50342, 53567, 50755, 50338, 50892, 50755, 50345, 51166, 64619, 56711, 52155, 51244, 50755, 50341, 51079, 60028, 51127, 50755, 50337, 50896, 50799, 50755, 50340, 59288, 50755, 50337, 50924, 50755, 50340, 70236, 50755, 50340, 53052, 51752, 51058, 50755, 50340, 50915, 58113, 56692, 52161, 51008, 50755, 50331, 50893, 50755, 50338, 51101, 50755, 50343, 56209, 51596, 51008, 61759, 51242, 50445, 50755, 50342, 63112, 51752, 51328, 50755, 50328, 50943, 50755, 50335, 51108, 50755, 50340, 52931, 51596, 51008, 58113, 51003, 50755, 50342, 51111, 72849, 51328, 59308, 51662, 50755, 50340, 51472, 50755, 50344, 52192, 50420, 52315, 51008, 64619, 50987, 58113, 50905, 50755, 50338, 51364, 50424, 52182, 54088, 50426, 52315, 51749, 64619, 51358, 50432, 50755, 50335, 56389, 50755, 50342, 50838, 50755, 50338, 55885, 61759, 51562, 50450, 52182, 51775, 59308, 50995, 50755, 50335, 54771 ]

[ 0, 713, 8787, 3152, 15229, 11, 211, 3694, 16, 17407, 30, 63, 20425, 8, 15352, 30054, 2574, 6, 19, 12577, 2933, 8, 9066, 3423, 4, 20, 81, 9756, 8669, 1239, 5, 483, 6, 7513, 30, 41, 6168, 3540, 6, 3459, 9590, 6, 21072, 6, 8, 3459, 13305, 4, 8504, 11, 10, 132, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 178, 5285, 20889, 6, 4246, 10, 33215, 16739, 9, 211, 6, 381, 406, 6, 8, 274, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 66702, 50432, 53707, 50805, 50799, 52947, 57908, 51061, 51116, 50427, 51193, 51095, 50428, 51185, 51111, 50435, 51061, 52599, 51546, 54134, 51185, 54207, 51193, 53668, 51061, 52741, 51557, 52961, 51193, 50805, 51185, 50805, 50799, 53707, 54243, 51118, 50805, 51061, 69728, 52605, 51616, 53263, 51118, 52599, 63941, 51023, 54134, 51193, 54207, 51193, 53668, 51061, 52741, 51193, 53987, 51023, 53920, 51061, 53848, 51118, 50808, 50799, 66410, 53707, 50808, 51118, 50808, 63941, 51023, 54275, 66410, 52047, 51221, 51083, 51221, 51020, 51221, 51208, 76186, 51083, 50808, 80003, 52559, 51763, 54986, 51083, 52599, 51083, 50808, 80003, 54134, 64344, 65428, 51092, 54207, 51089, 50808, 65428, 51092, 53668, 51089, 50808, 65428, 51092, 52741, 51089, 50808, 65428, 51092, 53987, 69878, 80003, 53920, 51083, 50808, 80003, 53848, 51401, 50808, 50799, 63512, 50910, 51321, 69392, 52947, 50910, 51321, 60853, 51557, 50910, 51321, 56382, 51341, 74167, 67480, 51341, 50808, 51281, 52711, 51341, 52596, 51341, 50808, 51281, 53987, 76087, 51193, 53920, 51341, 50873, 51281, 50873, 61245, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 52734, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 53184, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 52450, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 53847, 51245, 50833, 51245, 50833, 51593, 50833, 51593, 50833, 51704, 55579, 52559, 51497, 50873, 51497, 50873, 51839, 50873, 51839, 50873, 52237, 57652, 50805, 50799, 53371, 51116, 51409, 51116, 51263, 51116, 53371, 53090, 51409, 53090, 51263, 53090, 51188, 53090, 51245, 53090, 53723, 51654, 70607, 51321, 56909, 51263, 52450, 51497, 53363, 53723, 52504, 60478, 52605, 51321, 52718, 53723, 58689, 51321, 52815, 51321, 52985, 53723, 52504, 60478, 52961, 51321, 50838, 50799, 53723, 58689, 51321, 52864, 51321, 52688, 53723, 52504, 60478, 52605, 51321, 52718, 53723, 51747, 66389, 54134, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 52711, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 53668, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 52741, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 53987, 51245, 50833, 51245, 50833, 51593, 50833, 51593, 50833, 51704, 55579, 52643, 51497, 50873, 51497, 50873, 51839, 50873, 51839, 50873, 52237, 57652, 50805, 50799, 66198, 66198, 51347, 50808, 51347, 50808, 51632, 51747, 70607, 53371, 51538, 51409, 51538, 51263, 51538, 53371, 51991, 51409, 51991, 51263, 51991, 51188, 51991, 51245, 51991, 53723, 51654, 55152, 52483, 53723, 52504, 60478, 52605, 51321, 52718, 53723, 58689, 51321, 52815, 51321, 52985, 53723, 52504, 60478, 52961, 51263, 66389, 56517, 51583, 50833, 50799, 53371, 51077, 51409, 51077, 51263, 51077, 51188, 51077, 51497, 51077, 51497, 51077, 53723, 58689, 51321, 52864, 51321, 52688, 53723, 52504, 60478, 52605, 51321, 52718, 53723, 51747, 66389, 54134, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 52711, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 53668, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 52741, 51497, 50808, 51497, 50808, 51839, 50808, 51839, 50808, 52237, 52704, 53987, 51245, 50833, 51245, 50833, 51593, 50833, 51593, 50833, 51704, 55579, 52643, 51497, 50873, 51497, 50873, 51839, 50873, 51839, 50873, 52237, 57652, 50805, 77532, 50808, 79536, 51478, 50808, 51478, 50808, 52607, 52704, 58454, 70869, 50798, 53184, 75358, 75358, 51593, 50808, 51593, 50808, 52241, 52704, 58454, 50808, 52389, 77895, 51497, 50889, 51497, 50889, 51839, 50889, 51839, 50889, 52576, 55107, 55152, 52815, 69885, 69885, 75121, 75121, 70862, 51553, 52596, 57300, 57300, 62462, 62462, 51598, 72575, 52961, 59666, 75875, 62069, 51632, 71470, 75389, 51632, 50846, 50799, 53371, 53090, 53371, 53090, 51409, 53090, 51409, 53090, 51263, 53090, 51263, 53090, 51188, 53090, 51188, 53090, 51245, 53090, 51245, 53090, 51598, 53090, 50798, 60105, 50889, 57211, 51771, 50845, 52003, 50915, 52158, 50915, 56734, 51077, 53168, 51077, 53168, 51151, 54650, 54275, 54650, 52734, 51771, 50932, 54650, 53184, 54650, 69745, 52003, 50932, 52158, 55665, 51771, 50932, 61513, 53263, 61513, 52599, 52003, 50932, 52158, 50932, 54650, 54134, 54019, 52711, 51771, 50932, 53602, 53668, 54650, 73319, 52003, 50932, 52158, 56109, 62044, 50805, 53795, 50805, 53795, 50805, 51771, 50805, 50799, 51771, 50845, 52003, 50915, 52158, 50915, 55516, 51077, 53362, 51077, 53362, 51714, 56496, 54275, 54650, 52734, 51771, 50932, 56496, 53184, 54650, 54243, 52003, 50932, 52158, 55665, 51771, 75986, 70825, 52599, 52003, 50932, 52158, 50932, 56496, 54134, 54650, 52711, 51771, 50932, 56496, 53668, 54650, 73319, 52003, 50932, 52158, 56109, 62044, 50805, 53795, 50805, 53795, 50805, 51771, 58565, 70825, 50808, 50799, 51771, 50845, 52003, 50915, 52158, 50915, 63623, 51264, 56805, 51151, 56805, 51264, 56496, 54275, 60856, 52864, 51771, 76695, 56496, 52450, 52158, 50932, 52003, 51592, 54650, 52605, 51771, 51080, 56496, 52446, 51816, 50838, 54650, 54134, 56496, 52815, 52158, 57060, 61513, 52741, 51816, 50932, 62292, 52961, 51771, 50838, 77176, 50805, 50799, 66837, 51446, 55407, 51627, 55407, 51446, 52647, 51080, 51771, 51080, 51959, 51080, 62292, 70303, 61513, 57807, 66837, 50808, 55407, 50810, 55407, 52599, 66837, 51116, 55407, 51116, 55407, 51116, 52647, 50889, 51771, 50889, 52158, 50889, 77176, 51141, 50447, 66837, 50808, 55407, 50810, 55407, 52741, 66837, 50805, 55407, 50805, 55407, 50802, 52647, 50824, 51771, 50824, 52158, 54098, 55516, 50805, 53362, 50805, 53362, 51184, 50799, 51771, 50805, 52003, 50889, 52158, 50889, 56734, 51077, 53168, 51077, 53168, 63560, 51771, 54869, 52003, 50932, 52158, 50932, 53602, 53847, 53602, 52559, 51771, 50932, 54019, 53263, 54650, 52599, 52003, 50932, 52158, 50932, 54019, 52815, 51771, 50932, 53602, 55082, 52003, 50932, 52158, 56109, 62044, 50805, 53795, 50805, 53795, 50805, 51771, 50805, 50799, 51771, 50845, 52003, 50915, 52158, 50915, 55516, 51077, 53362, 51077, 53362, 64691, 51771, 54869, 52158, 50932, 52003, 51592, 53602, 53847, 53602, 52559, 51771, 51283, 54019, 53263, 54650, 52599, 51816, 50810, 54019, 60132, 52158, 53743, 51816, 51318, 54650, 64712, 51771, 53586, 51890, 50845, 50799, 51771, 50845, 52126, 50915, 52158, 50915, 63623, 51077, 56805, 51077, 56805, 64691, 51771, 54869, 52126, 50932, 52158, 50932, 54650, 53847, 56496, 52605, 51771, 75986, 54650, 52446, 52126, 50932, 52158, 66977, 56496, 52815, 51771, 75102, 61513, 52741, 52126, 50932, 52158, 51243, 62292, 52961, 51771, 50838, 77176, 50805, 50799, 66837, 51446, 55407, 51446, 55407, 51446, 52647, 51077, 51771, 51077, 52795, 70303, 52494, 53263, 66837, 50808, 55407, 50808, 55407, 50808, 53602, 77787, 66837, 50889, 55407, 50889, 52647, 50889, 51771, 51077, 55407, 51264, 50450, 52647, 50889, 50799, 62323, 51116, 53897, 51116, 53897, 51116, 52114, 50889, 52647, 50889, 51771, 74719, 62323, 50808, 53897, 50808, 53897, 52450, 62323, 50889, 53897, 50889, 52114, 50889, 52647, 50889, 51771, 50889, 53897, 51141, 54650, 53912, 52114, 50889, 52647, 50889, 51771, 50889, 54019, 55480 ]

[ 0, 250, 2635, 12, 20764, 14123, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 13305, 6, 21979, 8669, 6, 8, 1515, 21305, 6, 2800, 30, 31391, 1672, 9590, 8, 21072, 4, 20, 19448, 15229, 6, 278, 11, 5, 762, 9, 12608, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 6568, 10, 4845, 119, 27633, 8, 2365, 5466, 6, 442, 24, 10686, 13, 3618, 930, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57448, 50796, 55609, 51417, 61308, 51103, 51476, 51742, 51687, 51742, 51327, 51422, 52695, 51095, 52695, 51095, 52695, 61766, 52541, 50857, 52541, 63630, 52541, 59432, 52032, 50942, 52032, 67761, 52032, 58216, 53343, 50943, 53343, 51016, 50427, 53343, 51073, 56618, 51145, 52032, 50807, 52032, 51016, 52032, 69152, 61308, 51295, 50447, 51476, 50943, 50449, 51836, 51060, 51836, 51060, 51836, 51286, 50453, 51687, 51423, 50456, 51327, 50942, 52695, 50822, 52695, 50833, 52695, 61963, 51996, 50800, 51996, 64175, 51996, 74369, 53780, 51692, 53780, 51538, 53780, 51161, 59373, 51417, 57081, 51318, 51687, 50915, 51719, 50995, 51980, 73055, 51687, 50862, 51719, 50855, 51980, 54665, 57081, 51452, 58711, 51145, 51687, 51145, 51719, 51145, 51980, 50918, 50449, 52541, 50911, 52541, 65223, 52541, 50893, 50455, 53780, 50886, 53780, 50812, 53780, 59747, 52541, 71208, 52541, 50822, 52541, 62923, 52665, 50813, 52695, 51534, 52695, 51255, 52695, 50991, 55609, 51417, 61308, 51103, 51476, 51742, 51687, 51742, 51327, 75504, 52541, 50833, 52541, 50925, 50421, 52541, 60342, 52032, 50942, 52032, 75335, 52032, 57499, 53343, 50914, 53343, 51016, 53343, 51016, 56618, 51145, 52032, 51566, 52032, 51016, 52032, 69152, 61308, 51295, 50447, 51476, 50943, 50449, 51836, 65458, 51836, 51158, 51836, 51173, 50453, 51687, 51423, 50456, 51327, 50942, 52695, 50942, 50457, 52695, 50833, 52695, 61997, 51996, 64175, 51996, 50851, 51996, 65922, 52541, 51592, 52541, 51585, 55934, 51417, 55349, 51318, 52102, 50915, 51687, 50995, 51414, 50915, 52109, 50914, 52541, 51585, 50429, 52102, 50862, 51687, 50855, 51414, 50862, 52109, 54665, 55349, 51452, 55827, 51145, 52102, 51145, 51687, 51145, 51414, 51127, 52109, 50918, 50449, 52032, 55260, 52032, 50879, 52032, 50879, 50455, 52541, 54896, 52541, 50813, 52541, 67557, 52032, 63321, 52032, 50833, 52032, 59342, 52695, 52250, 50461, 52695, 52024, 52695, 52024, 57211, 51602, 51397, 61308, 51486, 50417, 51476, 51486, 50420, 51687, 51310, 50423, 51327, 52136, 50435, 51602, 50825, 56618, 51148, 50453, 51980, 51241, 50456, 53171, 51241, 55609, 51535, 51476, 51313, 51327, 50942, 50417, 51687, 67568, 51327, 51095, 50423, 51980, 60713, 51327, 51103, 50435, 53001, 51091, 56618, 51627, 50447, 51687, 57105, 51980, 51121, 50459, 51602, 50813, 55609, 51417, 61308, 51318, 51476, 50915, 51687, 50995, 51327, 73055, 51476, 50862, 51687, 50855, 51327, 54665, 61308, 51452, 56618, 51145, 52957, 50358, 51104, 50358, 51035, 50851, 51476, 51145, 51687, 51145, 51327, 50918, 51572, 60071, 51180, 53229, 55854, 51224, 54772, 52542, 60205, 54659, 52542, 50851, 51647, 60071, 50456, 51289, 51475, 56386, 52542, 50851, 55458, 56924, 52636, 60071, 55458, 50813, 55609, 51562, 54524, 51190, 52054, 62650, 61308, 51103, 55458, 51121, 51402, 60071, 51687, 51312, 51327, 50915, 51039, 62650, 51510, 60071, 51476, 50925, 55458, 50813, 51768, 50882, 60483, 69118, 55458, 50955, 51532, 60071, 51476, 78265, 65745, 50851, 51687, 50905, 51327, 50901, 55458, 56579, 51602, 51420, 60071, 50436, 55458, 51400, 55545, 51127, 54524, 60483, 50851, 56139, 51103, 51572, 60071, 52102, 51312, 51231, 50915, 51414, 51003, 51180, 62650, 51618, 62825, 52542, 51269, 52303, 50925, 55458, 50857, 51955, 50882, 60483, 50851, 52861, 50849, 51647, 60071, 52303, 68429, 62866, 52542, 50851, 52102, 50905, 51231, 50901, 51414, 50905, 55458, 50857, 51621, 60071, 50460, 55458, 51121, 55609, 51417, 54524, 60483, 50851, 61308, 51318, 51476, 50915, 51687, 50995, 51327, 50914, 51402, 60071, 50418, 53037, 50924, 51039, 62650, 51510, 60071, 53037, 52282, 51768, 50882, 60483, 50851, 51532, 60071, 51476, 50862, 51687, 50855, 51327, 52667, 50801, 50810, 65745, 50851, 51556, 60071, 61308, 51452, 56618, 51145, 54524, 60483, 50851, 51476, 51145, 51687, 51145, 51327, 50918, 51572, 67194, 53229, 51269, 51180, 53611, 54714, 50851, 51618, 62825, 69838, 51269, 51955, 50882, 51190, 50994, 67962, 50851, 51647, 67194, 53229, 62082, 62866, 69838, 50851, 51621, 67194, 63130, 51269, 55458, 50862, 55609, 51127, 54524, 60483, 50851, 61308, 51127, 51476, 51391, 51687, 51535, 51327, 51183, 55458, 51111, 51402, 60071, 51039, 62650, 50421, 53037, 50880, 51510, 60071, 50425, 53037, 50806, 51768, 50882, 60483, 50851, 51532, 60071, 50431, 51756, 53308, 65745, 50851, 51556, 60071, 51476, 50833, 56618, 51562, 54524, 60483, 50851, 61308, 51127, 54872, 51391, 51476, 51535, 51719, 51183, 51651, 51047, 50439, 51756, 50865, 51572, 60071, 50443, 52527, 50859, 51180, 62650, 51618, 62825, 52542, 51269, 50448, 52527, 50938, 51955, 50882, 60483, 50851, 51647, 60071, 50455, 55458, 55764, 62866, 52542, 56573, 51602, 51420, 60071, 54872, 50833, 63065, 51417, 54524, 60483, 50851, 56397, 51318, 51303, 50915, 51651, 50995, 51825, 67697, 52861, 51161, 51402, 60071, 51039, 62650, 51510, 60071, 51768, 50882, 60483, 50851, 51532, 60071, 51303, 50862, 51651, 50855, 51825, 52667, 50801, 50810, 65745, 50851, 51556, 60071, 56397, 51452, 62083, 51145, 54524, 60483, 50851, 51303, 51145, 51651, 51145, 51825, 50918, 51572, 67194, 53229, 51269, 51180, 53611, 54714, 50851, 51618, 62825, 69838, 51269, 51955, 50882, 51190, 50994, 67962, 50851, 51647, 67194, 53229, 51269, 52861, 54583, 62866, 69838, 64126, 52861, 50864, 51621, 67194, 63130, 51269, 50461, 52861, 51095, 63065, 51127, 54524, 60483, 50851, 56397, 52121, 51303, 50981, 51414, 51318, 52109, 51417, 51825, 51452, 51402, 60071, 51039, 62650, 51510, 60071, 52280, 50840, 51768, 50882, 60483, 69118, 52280, 50878, 51532, 60071, 50432, 65745, 50851, 62824, 51556, 60071, 50436, 52280, 51157, 62083, 51417, 54524, 60483, 50851, 51572, 60071, 51303, 51241, 51180, 62650, 51414, 51477, 51618, 62825, 52542, 51269, 53037, 50805, 51955, 50882, 60483, 50851, 51327, 50910, 51647, 60071, 51825, 51413, 52387, 57939, 62866, 52542, 50851, 53037, 56277, 50852, 57831, 51269, 52109, 50943, 50461, 52280, 51048, 63065, 51749, 54524, 60483, 50851, 51414, 50959, 51402, 57831, 51269, 51303, 51413, 51039, 52542, 50851, 51414, 55754, 74326, 51269, 51414, 51480, 50424, 52861, 51896, 51768, 50882, 60483, 50851, 51532, 60071, 51327, 52739, 50801, 50810, 65745, 50851, 51556, 60071, 62083, 51448, 52506, 55710, 50851, 51572, 67194, 53229, 51269, 51303, 51025, 51180, 55027, 54714, 50851, 52109, 51330, 51618, 64992, 69838, 51269, 51825, 50942, 51955, 50882, 51190, 50994, 67962, 50851, 52932, 50893, 51647, 67224, 53229, 51269, 51303, 69960, 62866, 69838, 50851, 51825, 50808, 52861, 54846, 51132, 51420, 57798, 63130, 51269, 52109, 50840, 55458, 50855, 63065, 51127, 54524, 60483, 50851, 52102, 51047, 51303, 51148, 52109, 51103, 50415, 59403, 51221, 51402, 60071, 51039, 62650, 51510, 60071, 52280, 51030, 51768, 50882, 60483, 50851, 51532, 60071, 56397, 50991, 52280, 54215, 65745, 67592, 52280, 50910, 51556, 60071, 55511, 51127, 54524, 60483, 50851, 52303, 51047, 52102, 51148, 51651, 51103, 51414, 51103, 52280, 51400, 51572, 60071, 51180, 62650, 51618, 62825, 52542, 51269, 50448, 53037, 51060, 51955, 50882, 60483, 50851, 51647, 60071, 55285, 50991, 50454, 52387, 57939, 62866, 52542, 64126, 53037, 50866, 51621, 60071, 54293, 51127, 54524, 60483, 50851, 56139, 51318, 52303, 50915, 52102, 50995, 51231, 50915, 51414, 50914, 52280, 51692, 51402, 60071, 51039, 62650, 51510 ]

[ 0, 250, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 21979, 8669, 6, 32909, 6, 23338, 33518, 1264, 6, 8, 21979, 9590, 6, 278, 11, 10, 7212, 132, 73, 306, 86, 6543, 8, 5, 762, 9, 230, 10431, 538, 6, 19, 10, 33215, 16739, 9, 274, 10431, 119, 1176, 406, 6, 163, 119, 1176, 406, 6, 230, 10431, 6, 274, 10431, 119, 1176, 406, 6, 8, 274, 6, 2351, 10, 32076, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 66702, 50799, 67347, 51151, 56194, 51359, 50426, 51944, 51194, 51773, 51043, 52435, 79761, 51944, 51134, 51773, 51419, 52435, 67647, 52435, 51233, 51944, 51194, 51773, 77055, 52435, 50942, 51944, 50942, 51773, 50878, 50799, 58748, 53241, 50426, 52027, 50967, 51944, 51215, 51773, 51175, 50434, 52027, 50915, 51944, 50943, 51773, 50915, 50446, 52435, 50830, 51944, 50830, 51773, 57006, 52027, 50967, 51944, 50967, 51773, 51175, 50458, 56922, 50910, 50799, 67347, 51151, 56194, 51359, 50426, 51944, 51194, 51773, 51043, 52435, 79761, 51944, 51134, 51773, 51419, 52435, 67647, 52435, 51233, 51944, 51194, 51773, 77055, 52435, 50942, 51944, 50942, 51773, 50878, 50799, 58748, 53241, 50426, 52027, 50967, 51944, 51215, 51773, 51175, 50434, 52027, 50915, 51944, 50943, 51773, 50915, 50446, 52435, 50830, 51944, 50830, 51773, 57006, 52027, 50967, 51944, 50967, 51773, 51175, 50458, 56922, 50910, 51868, 50940, 51360, 51014, 50799, 67347, 51445, 51506, 51145, 51705, 51291, 51966, 69565, 51008, 53763, 50422, 53763, 50426, 52280, 51177, 51723, 51177, 51515, 51233, 51944, 51233, 52435, 51110, 51773, 51043, 51017, 79675, 51233, 50989, 51233, 51040, 51110, 50906, 51043, 53763, 50427, 50944, 51108, 50939, 51466, 50434, 52280, 51191, 51723, 51191, 52435, 51241, 51515, 51391, 51944, 51391, 51773, 51351, 51040, 51241, 50871, 51391, 50989, 51391, 50906, 51351, 52653, 50438, 51506, 51103, 51705, 71941, 51008, 52653, 50446, 52653, 50450, 52280, 50849, 51723, 50849, 52435, 51194, 51515, 50959, 51944, 51008, 51773, 50878, 51017, 51911, 50305, 51194, 61522, 50989, 51008, 50906, 62017, 50451, 70800, 50939, 51333, 50458, 52280, 52071, 51723, 52071, 52027, 51294, 51944, 51191, 51773, 51191, 50956, 51294, 50989, 51191, 50906, 75263, 50955, 50799, 58748, 51445, 51791, 51077, 51668, 51141, 51324, 69565, 51008, 53763, 50422, 53763, 50426, 52027, 51194, 51944, 51194, 51773, 51178, 50979, 72831, 51194, 50989, 51194, 78122, 53763, 50427, 76891, 50939, 51466, 50434, 52027, 51003, 51944, 50889, 51773, 50807, 51668, 74295, 73450, 58419, 50807, 52653, 50438, 51791, 51077, 51668, 52097, 50798, 51008, 52653, 50446, 52435, 50925, 51944, 50910, 51773, 50830, 51040, 50925, 50989, 50910, 60074, 52653, 50450, 52027, 51175, 51944, 51095, 51773, 72092, 72831, 51175, 50989, 51095, 72481, 52653, 50451, 50944, 50981, 50939, 51330, 50458, 52280, 50800, 51723, 50800, 52027, 50874, 51944, 50874, 51773, 50874, 76599, 74312, 50906, 54447, 50955, 50799, 52527, 50805, 51641, 50805, 58748, 51293, 51791, 51077, 51668, 51080, 51324, 68835, 51008, 53763, 50422, 53763, 50426, 55458, 50849, 53709, 50849, 52027, 51309, 51944, 51423, 51773, 51797, 50979, 72831, 51309, 50989, 51423, 50906, 51797, 53763, 50427, 76891, 50939, 51466, 50434, 51944, 50995, 52027, 50915, 51773, 77245, 71326, 60006, 51097, 52653, 50438, 54598, 50806, 53437, 50806, 51791, 51077, 51668, 77005, 51008, 52653, 50446, 53037, 50924, 52211, 50924, 52435, 50897, 51944, 50955, 51773, 51051, 51040, 50897, 77663, 73699, 52653, 50450, 52027, 51194, 51944, 51043, 51773, 51233, 50979, 72831, 51194, 50989, 51043, 50906, 51233, 52653, 50451, 50944, 50981, 50939, 51330, 50458, 53037, 53435, 52211, 53435, 52027, 50897, 51944, 50942, 51773, 50955, 51668, 72794, 50897, 69874, 50906, 56879, 50955, 50799, 55243, 51945, 51217, 51183, 51493, 50918, 51315, 51945, 50798, 51008, 53763, 50422, 53763, 50426, 51929, 50967, 52027, 51194, 51660, 51194, 51042, 66784, 50967, 50956, 51194, 50916, 51194, 53763, 50427, 76231, 50992, 51097, 50434, 52027, 51003, 51660, 50915, 51929, 72225, 65480, 66751, 50943, 52653, 50438, 51217, 50918, 51493, 52407, 50798, 51008, 52653, 50446, 52435, 50878, 51660, 50959, 51929, 50878, 75184, 67946, 50965, 62017, 50450, 51660, 50967, 51929, 51175, 52027, 51215, 51042, 65480, 50967, 50965, 51175, 50956, 51215, 52653, 50451, 63153, 50992, 51097, 50458, 56922, 51033, 51493, 50863, 51360, 55043, 50955, 50799, 67347, 51445, 51506, 51145, 51705, 50918, 51966, 69565, 51008, 53763, 50422, 53763, 50426, 52280, 50911, 51723, 50911, 51515, 51233, 51944, 51233, 52435, 51110, 51773, 51043, 51017, 79675, 51233, 50989, 51233, 51040, 51110, 50906, 51043, 53763, 50427, 50944, 51108, 50939, 51466, 50434, 52280, 51241, 51723, 51241, 52435, 51241, 51515, 51391, 51944, 51391, 51773, 51351, 51040, 51241, 50871, 51391, 50989, 51391, 50906, 51351, 52653, 50438, 51506, 51103, 51705, 58673, 51008, 52653, 50446, 52653, 50450, 52280, 51060, 51723, 51060, 52435, 51194, 51515, 50959, 51944, 51008, 51773, 50878, 51017, 51911, 50305, 51194, 61522, 50989, 51008, 50906, 62017, 50451, 70800, 50939, 51333, 50458, 52280, 51518, 51723, 51518, 52027, 51294, 51944, 51191, 51773, 51191, 50956, 51294, 50989, 51191, 50906, 75263, 50955, 50799, 58748, 52222, 51791, 51077, 51668, 50918, 51324, 52222, 50798, 51008, 53763, 50422, 53763, 50426, 52027, 51194, 51944, 51194, 51773, 51178, 50979, 72831, 51194, 50989, 51194, 78122, 53763, 50427, 76891, 50939, 51466, 50434, 52027, 51003, 51944, 50889, 51773, 60821, 73450, 58419, 50807, 52653, 50438, 51791, 51077, 51668, 73717, 51008, 52653, 50446, 52435, 50925, 51944, 50910, 51773, 50830, 51040, 50925, 50989, 50910, 60074, 52653, 50450, 52027, 51175, 51944, 51095, 51773, 72092, 72831, 51175, 50989, 51095, 72481, 52653, 50451, 50944, 50981, 50939, 51330, 50458, 52280, 50858, 51723, 50858, 58748, 50897, 51668, 50829, 51324, 55593, 50955, 50461, 57117, 52536, 51234, 52536, 50799, 52280, 51060, 51723, 51060, 52027, 50914, 51515, 50889, 51773, 50943, 52021, 51145, 51261, 51191, 50956, 61581, 58419, 58641, 51008, 53763, 50422, 53763, 50426, 52280, 51158, 51723, 51158, 52027, 50889, 51515, 50889, 51773, 50889, 50979, 66533, 59428, 58419, 50889, 53763, 50427, 72080, 50939, 50995, 50434, 51140, 51008, 52653, 50438, 51756, 51101, 51431, 51101, 51515, 50889, 51614, 50889, 51773, 50889, 52021, 51183, 51261, 51204, 50871, 62525, 58419, 53769, 51008, 52653, 50446, 51760, 50849, 51485, 50849, 52653, 50450, 51614, 50915, 51515, 51267, 51773, 75815, 77014, 58134, 51267, 50906, 50889, 52653, 50451, 68100, 50939, 50932, 50458, 52557, 50925, 51261, 51008, 50997, 55690, 50955, 50799, 52527, 50893, 51641, 50893, 55677, 52500, 52027, 51110, 51944, 51178, 51773, 51194, 51751, 51077, 51560, 51447, 51197, 52500, 50956, 51110, 50989, 51178, 50906, 63477, 51008, 53763, 50422, 52678, 50897, 52314, 50897, 51944, 50807, 52027, 51003, 51773, 73450, 60821, 64292, 51003, 53763, 50426, 68279, 53763, 50427, 70800, 50939, 51097, 50434, 52678, 51356, 52314, 51356, 52027, 50807, 51944, 51016, 51773, 72225, 65287, 70606, 50943, 52653, 50438, 51751, 51356, 51560, 58747, 51008, 52653, 50446, 52435, 50910, 51040, 50910, 52653, 50450, 52027, 51194, 51944, 51110, 51773, 51043, 50979, 66533, 51194, 50989, 51110, 50906, 51043, 52653, 50451, 71537, 50939, 50995, 50454, 51560, 62990, 55677, 50821, 51273, 50839, 51197, 51508, 50955, 76139, 50905, 51744, 50905, 56922, 52536, 52435, 50915, 51660, 50981, 51929, 50914, 52540, 51127, 52318, 51527, 51360, 52536, 51040, 60817, 67680, 56001, 51008, 53763, 50422, 52678, 50938, 52314, 50938, 53763, 50426, 52435, 51003, 51660, 51003, 51929, 63296, 51619, 50305, 65480, 68292, 52959, 51008, 50427, 74028, 50992, 50981, 50434, 52678, 51661, 52314, 51661 ]

[ 0, 250, 15855, 30062, 620, 7085, 2125, 14, 115, 1807, 25, 10, 19834, 13, 41, 9066, 822, 6, 4246, 10, 6755, 12547, 6, 2342, 4467, 6, 326, 5638, 18026, 6, 32909, 6, 8, 1515, 21305, 4, 590, 10, 7212, 20889, 9, 13442, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 16, 278, 11, 5, 762, 9, 163, 428, 538, 8, 24536, 10, 33215, 16739, 9, 163, 428, 6, 12608, 6, 274, 6, 211, 119, 6, 8, 12608, 4, 20, 930, 7630, 6568, 10, 1472, 9, 4149, 6, 814, 6, 8, 9733, 6, 442, 24, 157, 12, 9228, 4560, 13, 25306, 17662, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52695, 50824, 52032, 50824, 51723, 51029, 51641, 51029, 52339, 51029, 51968, 51029, 53397, 51029, 55145, 51029, 51335, 51352, 54480, 51029, 51165, 51029, 51395, 51029, 51811, 51732, 50416, 57644, 55804, 57644, 60861, 57644, 53213, 57644, 57646, 57644, 54381, 57644, 58099, 57644, 52968, 52695, 51029, 57644, 61347, 57644, 54935, 57644, 58221, 57644, 52726, 51968, 50811, 57644, 57485, 51968, 50811, 57644, 54496, 51968, 50811, 57644, 57784, 51968, 50811, 57644, 52952, 51968, 51029, 57644, 61746, 57644, 55092, 57644, 60869, 57644, 52940, 52695, 50802, 57644, 57915, 57644, 55059, 57644, 57795, 57644, 52768, 52695, 50823, 57644, 62161, 57644, 55552, 57644, 59154, 52695, 64776, 57644, 52884, 57644, 58150, 52695, 50823, 51968, 50811, 57644, 54871, 51968, 50811, 57644, 56628, 51968, 50811, 57644, 50811, 50799, 52695, 51029, 51968, 50803, 57644, 62601, 57644, 55804, 57644, 60208, 52339, 60442, 57644, 53213, 51641, 50811, 57644, 57646, 51641, 50811, 52377, 50803, 57644, 54381, 51641, 50811, 57644, 58099, 51641, 50811, 57644, 52968, 51641, 50803, 52178, 50803, 57644, 61347, 57644, 54935, 57644, 58459, 51723, 50803, 52377, 57925, 57644, 52726, 52032, 50802, 57644, 57485, 52264, 50803, 51968, 50803, 57644, 54496, 57644, 57784, 57644, 52952, 53343, 50824, 52336, 50803, 51968, 50803, 57644, 61746, 57644, 55092, 57644, 60681, 52264, 50803, 52339, 60254, 57644, 52940, 57644, 57915, 51641, 50803, 52377, 50803, 57644, 55059, 57644, 57795, 57644, 52768, 53780, 50823, 53916, 50823, 51641, 50803, 52178, 50803, 57644, 62161, 57644, 55552, 57644, 59154, 53780, 50823, 53916, 50823, 51723, 50803, 51968, 59730, 57644, 52884, 51968, 50811, 57644, 58150, 53780, 50823, 53916, 50823, 52264, 50803, 51968, 50803, 57644, 54871, 57644, 56628, 57644, 50811, 50799, 52541, 50823, 53343, 50823, 52336, 50803, 53542, 50803, 52377, 50803, 57644, 62601, 57644, 55804, 57644, 60208, 52541, 50823, 53343, 50823, 52264, 50803, 54461, 50803, 51968, 60442, 57644, 53213, 57644, 57646, 52541, 50823, 53343, 50823, 51641, 50803, 52339, 50803, 52178, 50803, 57644, 54381, 57644, 58099, 57644, 52968, 52695, 50823, 52032, 50823, 51641, 50803, 52701, 51029, 54006, 51029, 57644, 61347, 57644, 54935, 57644, 58459, 52695, 50823, 52032, 50823, 51723, 57925, 57644, 52726, 57644, 57485, 52695, 50823, 52032, 50823, 52264, 50803, 57644, 54496, 57644, 57784, 57644, 52952, 52695, 50824, 52032, 50824, 52336, 50803, 57644, 61746, 57644, 55092, 57644, 60681, 51641, 60254, 57644, 52940, 57644, 57915, 51641, 50803, 57644, 55059, 57644, 57795, 57644, 52768, 52665, 50823, 51996, 50823, 52032, 50823, 51723, 50803, 52339, 50823, 52178, 50823, 52913, 50823, 57644, 50811, 56265, 50817, 51107, 50803, 52602, 50823, 51251, 50823, 51154, 66054, 53472, 62353, 57644, 50811, 53118, 54085, 57644, 50811, 53267, 50817, 51201, 58268, 52665, 50823, 51996, 50823, 52032, 50823, 51723, 50803, 52339, 50823, 52178, 50823, 52913, 50823, 52697, 50817, 52602, 50823, 51251, 50823, 51154, 64776, 57644, 50811, 53000, 52193, 57644, 50811, 54428, 50817, 51394, 57303, 52697, 56995, 52665, 50823, 51996, 50823, 52032, 50823, 51723, 50803, 52339, 50823, 52178, 50823, 52913, 50823, 57644, 50811, 53000, 50817, 52602, 50823, 51251, 50823, 51154, 57239, 57644, 50811, 54428, 50817, 51384, 58055, 54723, 56912, 57644, 50811, 55372, 50817, 67719, 51009, 55145, 50802, 52481, 50802, 51638, 76057, 50802, 51811, 77076, 52339, 50803, 51968, 50803, 55145, 50803, 53121, 50803, 78724, 75200, 51426, 52801, 52339, 50803, 51968, 50803, 55145, 50803, 53121, 50803, 78724, 75200, 51426, 51973, 52339, 51029, 51968, 51029, 55145, 51029, 53121, 51029, 52481, 51029, 51638, 51029, 51426, 60920, 52336, 57310, 51968, 50811, 51866, 50811, 55145, 50811, 53121, 50811, 52481, 50811, 51426, 50811, 51088, 57915, 51968, 50811, 51866, 50811, 55145, 50811, 53121, 50811, 52481, 50811, 51426, 50811, 51088, 59788, 51968, 50811, 51866, 50811, 55145, 50811, 53121, 50811, 52481, 50811, 51426, 50811, 51088, 52768, 51968, 50802, 51866, 50802, 55145, 50802, 53121, 50802, 52481, 76057, 62748, 52325, 52339, 50802, 51866, 50802, 55145, 50802, 53121, 50802, 52481, 50802, 51638, 62748, 50802, 50799, 52264, 50823, 57644, 62601, 57644, 55804, 57644, 60208, 51579, 68159, 57644, 53213, 51968, 50802, 52377, 50802, 56380, 50802, 55515, 50802, 57644, 50811, 52481, 50802, 51638, 50802, 51375, 60449, 51509, 50823, 57644, 54381, 57644, 58099, 57644, 52968, 55558, 51009, 57644, 61347, 57644, 54935, 57644, 58221, 57644, 52726, 51968, 50802, 52377, 50802, 56380, 50802, 55515, 50802, 57644, 50811, 52481, 50802, 51638, 50802, 51375, 59898, 57644, 54496, 57644, 57784, 57644, 52952, 51968, 50802, 52377, 50802, 56380, 50802, 55515, 50802, 57644, 50811, 52481, 50802, 51638, 50802, 51375, 67586, 57644, 55092, 57644, 60869, 57644, 52940, 51968, 50811, 52377, 50811, 56380, 50817, 55515, 50817, 57644, 50811, 52481, 50817, 51638, 50811, 51375, 57915, 51968, 50811, 52377, 50811, 56380, 50817, 55515, 50817, 57644, 50811, 52481, 50817, 51638, 50811, 51375, 55059, 51968, 50803, 52377, 50803, 56380, 50803, 55515, 50803, 57644, 50811, 78724, 75200, 51375, 57891, 57644, 52768, 52336, 50824, 51968, 50823, 51866, 50823, 55145, 50823, 53121, 50823, 57644, 50811, 52481, 50823, 51426, 50823, 51088, 71524, 57644, 55552, 57644, 59154, 51968, 50823, 51866, 50823, 55145, 50823, 53121, 50823, 52481, 50823, 51426, 50823, 51088, 64776, 57644, 52884, 57644, 58150, 51968, 50823, 51866, 50823, 55145, 50823, 53121, 50823, 57644, 50811, 52481, 50823, 51426, 50823, 51088, 57239, 57644, 56628, 57644, 50811, 50799, 52264, 50823, 57644, 62601, 57644, 55804, 57644, 60208, 51579, 68159, 57644, 53213, 51968, 50802, 52377, 50802, 56380, 50802, 55515, 50802, 57644, 50811, 52481, 50802, 51638, 50802, 51375, 60449, 51509, 50823, 57644, 54381, 57644, 58099, 57644, 52968, 55558, 51009, 57644, 61347, 57644, 54935, 57644, 58221, 57644, 52726, 51968, 50802, 52377, 50802, 56380, 50802, 55515, 50802, 57644, 50811, 52481, 50802, 51638, 50802, 51375, 59898, 57644, 54496, 57644, 57784, 57644, 52952, 51968, 50802, 52377, 50802, 56380, 50802, 55515, 50802, 57644, 50811, 52481, 50802, 51638, 50802, 51375, 67586, 57644, 55092, 57644, 60869, 57644, 52940, 51968, 50811, 52377, 50811, 56380, 50817, 55515, 50817, 57644, 50811, 52481, 50817, 51638, 50811, 51375, 57915, 51968, 50811, 52377, 50811, 56380, 50817, 55515, 50817, 57644, 50811, 52481, 50817, 51638, 50811, 51375, 55059, 51968, 50803, 52377, 50803, 56380, 50803, 55515, 50803, 57644, 50811, 78724, 75200, 51375, 57891, 57644, 52768, 52336, 50824, 51968, 50823, 51866, 50823, 55145, 50823, 53121, 50823, 57644, 50811, 52481, 50823, 51426, 50823, 51088, 71524, 57644, 55552, 57644, 59154, 51968, 50823, 51866, 50823, 55145, 50823, 53121, 50823, 52481, 50823, 51426, 50823, 51088, 64776, 57644, 52884, 57644, 58150, 51968, 50823, 51866, 50823, 55145, 50823, 53121, 50823, 57644, 50811, 52481, 50823, 51426, 50823, 51088, 57239, 57644, 56628, 57644, 50811, 50799, 52541, 50823, 52264, 50823, 51702, 73738, 50823, 56542, 50823, 55662, 50823, 53599, 50823, 80156, 51375, 50823, 51201, 73354, 51946, 50823, 51579, 50823, 52384, 50823, 51866, 50823, 53942, 50823, 52560, 50823, 52143, 50823, 51301, 50823, 51088, 56733 ]

[ 0, 250, 15352, 30054, 8, 1372, 3495, 2214, 19, 5175, 4785, 6, 4246, 13305, 6, 3152, 6757, 6, 326, 5638, 18026, 6, 5730, 2342, 4467, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 9, 15900, 741, 1685, 6, 42, 1619, 12, 14694, 8859, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 211, 6, 272, 6, 8, 83, 406, 16, 5705, 6636, 6, 2351, 10, 19448, 8, 2365, 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 ]

[ 57739, 50799, 55383, 51221, 52690, 78265, 55383, 50873, 52690, 51255, 50438, 53248, 51221, 51476, 55670, 51476, 50845, 53248, 50873, 50799, 53655, 51221, 51410, 68109, 53655, 50873, 51410, 52446, 51476, 50845, 53248, 55322, 53655, 50915, 51410, 56934, 53248, 50805, 51476, 50849, 50799, 55383, 50805, 52690, 54777, 55383, 50873, 52690, 55306, 51476, 50795, 53248, 68429, 53248, 50901, 51476, 50873, 61357, 50849, 53655, 78265, 51410, 50873, 53655, 55306, 53248, 50845, 51476, 55945, 53655, 50915, 51410, 59827, 53248, 50845, 51476, 50845, 50799, 55383, 50873, 52690, 54068, 51792, 52823, 58806, 55335, 52944, 51236, 51987, 51258, 51544, 51792, 52823, 55773, 78342, 54615, 52309, 55383, 50901, 52690, 50845, 52817, 51328, 50913, 55460, 57481, 53248, 50795, 51476, 61202, 52079, 53796, 52275, 51004, 50439, 53918, 55103, 53036, 65881, 54463, 55712, 51004, 52320, 52240, 52823, 55410, 53017, 53248, 50849, 51476, 59450, 59605, 53515, 51004, 50799, 53655, 50849, 51410, 50805, 54263, 53739, 55335, 55460, 53796, 53203, 54263, 54608, 69104, 53855, 54263, 51101, 50913, 52748, 52240, 52786, 58494, 53814, 51410, 50805, 53655, 65151, 55712, 51258, 50433, 53918, 56656, 51476, 50901, 53248, 58266, 57871, 52523, 53600, 53239, 53655, 50915, 51410, 50943, 53036, 56753, 53995, 59605, 50837, 52320, 52240, 56494, 53836, 53556, 53248, 50845, 51476, 58553, 69104, 50863, 50799, 55383, 50805, 52690, 68747, 52348, 53317, 51949, 53515, 54303, 51236, 53107, 54953, 54615, 50924, 51240, 51539, 52240, 52786, 62000, 52817, 68766, 52690, 50901, 55383, 65151, 53515, 79532, 53918, 68535, 53248, 50805, 51476, 50879, 51236, 51539, 52275, 55712, 65112, 51240, 53027, 53036, 79077, 55460, 55038, 51236, 51044, 51989, 52786, 54038, 51476, 50849, 53248, 50901, 51240, 52694, 55712, 51306, 50799, 53655, 50849, 51410, 50805, 54263, 51111, 50913, 52771, 51909, 55712, 54303, 54615, 51242, 51236, 53107, 53896, 54263, 51212, 50913, 52465, 51989, 51987, 59619, 51240, 52818, 51410, 50849, 53655, 50873, 53918, 77227, 55712, 57481, 51476, 50845, 53248, 58266, 53600, 52291, 57871, 53162, 53655, 50915, 51410, 70539, 55522, 52523, 56663, 51236, 53067, 52465, 52240, 52881, 51476, 50901, 53248, 66691, 53107, 51129, 50799, 55383, 50805, 52690, 59145, 59605, 51464, 52535, 52291, 54303, 51236, 52291, 59180, 54615, 54065, 57582, 52539, 53940, 60426, 52817, 68766, 55383, 50810, 52690, 57938, 55712, 58930, 51476, 50805, 53248, 50901, 53918, 59145, 57871, 52793, 53796, 53114, 51240, 55335, 55712, 51306, 52320, 56459, 52132, 52823, 54038, 53248, 50901, 51476, 65151, 58494, 55460, 51306, 61357, 50849, 53655, 50873, 54263, 51112, 50913, 53796, 52132, 55712, 54605, 51236, 52499, 64634, 54615, 51412, 51544, 51989, 52703, 53107, 58494, 61193, 54263, 59780, 53655, 50901, 51410, 67005, 63463, 53569, 54369, 50833, 51465, 50805, 54263, 51591, 51236, 52523, 53600, 52240, 54406, 54369, 50845, 66165, 64493, 52680, 53995, 58547, 65047, 50901, 55349, 78331, 51041, 52240, 53045, 54059, 54872, 50845, 61308, 56969, 79912, 50837, 50799, 55390, 50873, 52326, 68747, 52223, 54782, 51909, 55712, 54605, 50920, 79912, 58964, 55861, 51631, 50832, 56093, 52539, 52465, 53230, 55390, 50873, 52326, 50873, 53036, 54702, 53515, 58930, 51410, 50873, 53655, 50849, 53036, 59510, 55712, 53600, 58264, 53044, 54263, 51177, 50913, 55712, 71189, 53166, 50920, 52465, 51989, 56494, 54038, 51410, 50849, 53655, 50901, 53036, 53869, 56689, 53995, 51306, 50799, 55390, 50854, 52326, 50901, 55861, 58530, 55335, 53796, 52823, 54303, 57081, 50845, 52571, 50845, 53036, 51242, 50920, 57871, 52670, 56397, 50901, 52102, 50901, 55861, 51121, 50913, 52223, 51989, 56093, 52523, 53670, 53655, 50795, 51410, 50943, 54263, 51417, 50913, 53762, 55379, 50832, 53600, 53414, 53127, 54406, 53655, 50845, 51410, 50893, 51181, 51212, 50920, 77522, 56093, 52300, 52743, 54369, 50805, 51465, 50879, 51374, 58266, 56122, 53754, 51044, 53836, 54059, 55349, 50901, 51719, 51111, 51640, 51423, 50920, 73679, 55767, 50829, 72412, 51194, 51231, 51021, 51137, 51178, 51240, 54200, 69656, 52823, 55335, 52944, 51236, 51987, 57395, 52571, 50890, 51410, 51735, 51231, 51735, 62351, 51505, 51240, 57670, 51179, 51989, 52823, 52925, 52690, 50866, 54263, 65151, 55460, 57481, 53248, 50914, 51416, 51377, 55979, 51343, 77591, 58200, 77210, 54406, 51476, 51025, 51240, 53522, 55712, 54044, 51465, 51048, 51231, 51056, 51416, 50873, 58246, 52240, 52823, 55410, 53017, 53248, 50942, 52458, 50974, 50913, 55712, 59605, 50870, 57958, 50942, 54263, 63436, 55335, 55460, 58200, 51044, 52432, 51719, 50860, 51684, 50878, 55979, 51101, 50920, 69104, 53855, 54263, 51173, 50913, 50367, 51502, 51179, 52240, 52786, 58494, 53063, 51651, 51196, 52571, 51285, 51465, 51196, 52474, 51003, 54615, 51101, 50913, 55712, 57481, 50832, 57871, 52523, 63015, 51044, 52210, 51684, 65151, 53995, 59605, 52772, 51416, 50901, 54263, 50896, 62418, 52240, 56494, 53836, 53556, 51910, 51328, 50920, 69104, 50863, 54468, 50987, 53918, 50917, 50913, 56630, 51044, 56379, 51872, 53515, 54303, 52326, 50809, 51349, 50955, 51236, 53107, 54953, 51476, 50952, 51465, 50923, 51249, 51215, 53036, 51212, 62418, 56379, 51877, 52786, 53670, 51684, 50943, 55979, 51177, 50913, 53515, 57481, 54263, 51060, 51236, 54366, 51239, 52240, 55712, 54189, 51410, 50809, 51719, 50893, 51416, 50805, 55979, 51100, 51240, 53522, 55460, 55038, 51910, 51121, 54263, 50893, 51236, 56088, 51179, 52240, 52786, 54038, 51231, 50980, 52571, 51160, 51349, 50892, 52817, 75540, 55335, 55712, 51306, 53053, 65151, 58597, 51044, 52240, 55712, 54303, 51236, 53107, 53896, 79759, 53200, 50950, 55173, 66572, 52373, 52465, 52240, 51987, 53196, 51181, 50905, 53200, 50879, 55173, 75991, 55712, 77522, 50837, 54360, 50940, 53719, 50950, 56173, 54413, 63015, 52538, 51464, 53963, 57871, 53162, 51374, 50866, 53719, 51030, 56173, 59450, 54946, 52539, 71189, 53057, 51640, 50878, 54375, 50821, 55870, 50830, 51236, 53067, 56450, 51467, 51989, 52881, 51640, 50901, 54375, 51138, 55870, 50879, 51236, 53107, 69526, 50828, 54458, 51137, 50866, 52817, 50901, 53266, 58266, 63015, 56379, 53403, 51137, 53071, 55410, 52670, 52571, 50802, 51410, 50976, 51231, 50802, 54263, 50811, 52058, 58534, 53889, 51041, 52925, 51137, 50901, 54263, 50811, 52058, 60096, 50908, 54908, 50800, 55979, 51932, 52384, 50980, 52902, 58251, 53044, 51416, 57733, 63015, 55399, 53166, 51476, 50923, 51465, 51012, 51231, 51192, 52384, 55976, 51041, 55816, 78878, 55979, 54450, 51416, 50879, 55979, 51010, 52384, 56428, 56689, 50891, 54468, 50897, 55979, 51066, 52384, 51460, 50913, 58200, 51179, 52432, 51349, 50955, 52613, 51117, 52670, 51476, 51030, 51231, 50948, 51465, 50860, 52384, 57148, 54946, 51044, 56379, 58245, 55979, 55736, 51349, 50845, 55979, 51010, 52384, 58665, 54114, 51476, 50893, 51410, 51012, 51719, 75888, 50901, 54263, 50802, 52058, 51286, 52902, 56459, 53239, 51181, 50873, 55979, 51095, 52384, 54523, 53317, 52300, 57013, 51476, 50925, 51719, 50937, 51410, 57415, 51374, 50805, 54263, 51012, 52058, 50911, 51236, 53754, 51044, 53650, 51231, 50924, 52571, 50901, 51410, 50879, 51640, 50905, 54615, 51175, 53175, 50893, 51236, 50829, 53053, 50866, 51240, 54200, 51135, 53099, 52944, 73498, 52243, 51117, 52762, 52571, 50936, 51410, 51021 ]

[ 0, 250, 15352, 30054, 8, 20425, 3495, 2214, 4246, 10, 13305, 6, 278, 11, 10, 1769, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 16, 11, 5, 762, 9, 83, 538, 8, 29769, 198, 5, 33215, 16739, 9, 381, 6, 163, 119, 6, 8, 211, 6, 61, 35315, 1328, 5, 2214, 4, 20, 6711, 7630, 6568, 6453, 9, 11098, 8, 657, 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 ]

[ 58402, 50861, 65921, 64204, 75088, 51568, 50296, 76371, 51097, 58973, 56307, 50973, 62215, 72816, 50951, 60510, 50902, 56697, 50968, 64233, 58843, 50902, 50974, 57289, 72046, 58657, 51003, 58973, 56307, 50973, 55332, 57547, 50951, 54233, 50989, 51911, 50322, 51244, 50450, 50989, 51097, 54868, 63030, 59219, 67889, 60184, 50973, 66676, 51145, 50432, 50951, 56306, 50902, 55437, 50968, 60318, 57414, 50902, 50974, 57289, 51568, 50294, 57410, 50902, 56307, 50973, 58754, 79411, 50951, 56306, 50902, 52985, 50968, 59537, 57414, 50902, 50838, 54594, 65064, 51568, 50296, 60817, 57933, 50902, 52688, 50973, 62215, 72816, 50951, 58141, 50902, 56697, 50968, 64233, 58667, 50902, 50838, 57289, 72046, 58657, 51003, 58973, 54335, 50973, 55332, 57173, 50951, 55306, 50989, 52019, 50322, 77307, 50989, 50915, 54868, 67119, 61817, 70062, 60324, 50973, 58754, 51145, 50432, 50951, 60510, 50902, 52985, 50968, 62035, 58667, 50902, 50974, 57289, 51568, 50294, 57410, 50902, 56307, 50973, 62035, 79411, 50951, 58141, 50902, 54058, 50968, 51514, 50282, 51619, 50294, 57414, 50902, 50892, 54594, 63707, 51458, 50284, 51800, 50296, 57519, 50902, 53172, 50973, 51455, 50296, 51127, 50916, 78787, 50951, 53218, 50902, 53562, 50968, 51458, 50296, 68184, 58667, 50902, 50845, 57289, 50805, 51214, 52019, 50299, 51097, 58973, 53172, 50973, 72046, 57631, 55112, 50951, 55122, 51378, 67182, 51741, 50322, 51183, 50450, 50989, 51003, 54852, 61527, 51455, 50282, 51911, 50294, 50995, 58973, 53172, 50973, 51568, 50294, 51127, 50899, 78787, 50951, 53218, 50902, 54058, 50968, 51519, 50294, 61861, 57414, 50902, 50873, 54852, 61552, 50805, 51799, 52019, 50294, 51097, 58973, 53172, 50973, 51568, 50294, 79199, 79411, 50951, 53218, 50902, 54058, 50968, 51519, 50294, 61861, 57414, 50902, 50845, 54852, 63707, 51458, 50289, 51911, 50301, 50995, 58973, 55035, 50973, 51712, 50301, 63831, 62715, 50951, 62682, 50902, 54058, 50968, 71942, 60598, 59827, 50902, 50901, 57289, 51519, 50289, 51911, 50301, 50995, 58973, 55035, 50973, 59389, 55112, 50951, 51646, 50989, 51741, 50322, 69600, 50989, 51003, 54206, 61817, 64924, 58187, 50973, 60318, 51145, 50432, 50951, 55480, 50902, 56697, 50968, 59537, 58667, 50902, 50892, 56310, 55041, 50916, 55035, 50877, 53308, 50973, 55306, 50877, 76619, 50968, 56697, 50999, 53702, 51220, 50901, 60963, 52019, 50296, 60324, 51841, 51619, 50296, 50915, 50434, 51086, 68066, 50916, 60831, 50861, 53219, 50973, 51519, 50296, 51807, 50303, 60510, 50973, 55247, 51315, 51619, 50303, 57414, 50899, 51790, 50877, 51790, 54795, 69836, 58326, 51214, 51619, 50299, 50915, 50434, 51086, 65470, 50899, 61055, 50861, 53442, 50973, 67860, 51807, 50303, 60510, 50973, 57197, 51026, 58843, 50989, 51452, 50877, 51452, 58359, 51911, 50294, 58187, 51799, 51619, 50294, 54975, 51120, 72944, 64763, 67182, 57105, 51120, 73657, 61861, 73450, 51003, 57346, 57094, 51458, 50289, 73657, 57933, 50989, 79642, 51315, 54342, 51027, 55306, 51040, 57094, 51458, 50289, 73657, 56306, 50989, 55247, 51027, 58667, 51086, 51452, 50916, 51452, 60963, 51741, 50296, 58326, 51315, 50915, 50434, 51086, 65470, 50916, 61055, 50861, 53442, 50973, 50805, 51315, 51734, 50303, 58141, 50973, 56508, 51315, 51741, 50303, 58667, 50899, 51115, 68485, 54795, 69836, 58326, 51214, 69836, 57547, 50861, 60379, 54137, 50861, 59374, 71115, 51127, 50899, 51127, 67964, 54058, 50989, 64953, 58359, 51712, 50294, 58879, 51378, 50854, 51114, 54347, 51027, 50810, 50999, 51620, 50899, 74563, 52030, 70947, 51787, 55632, 59755, 51814, 52877, 50902, 51356, 52912, 51009, 61627, 51799, 52263, 51120, 52263, 50458, 52046, 50933, 51197, 50933, 60963, 52019, 50296, 60324, 51841, 51517, 50296, 50932, 50434, 50973, 50910, 50436, 50968, 58566, 50951, 53442, 51220, 50805, 51315, 51911, 50303, 72272, 59791, 51220, 56508, 51315, 51517, 50303, 65377, 56109, 50902, 51452, 50999, 51452, 54795, 52026, 50299, 60184, 51214, 52026, 50299, 51108, 50434, 71777, 50436, 50902, 59693, 50951, 53219, 51220, 77782, 64763, 58657, 60510, 51220, 56508, 51026, 63030, 58794, 56109, 51114, 51790, 50999, 51790, 58359, 52454, 50294, 64396, 51799, 51517, 50294, 54498, 51027, 67119, 64924, 51741, 50322, 57105, 51027, 70276, 77245, 70062, 51807, 50322, 51003, 58540, 60126, 51458, 50289, 52454, 50301, 72497, 51114, 55035, 51114, 51514, 50289, 52026, 50301, 51108, 63174, 56298, 51028, 66042, 69748, 68184, 59055, 59242, 51114, 55247, 51027, 68186, 63821, 63190, 50973, 51452, 50968, 51452, 60963, 52845, 50296, 65435, 51841, 52026, 50296, 51108, 50434, 50973, 50910, 50436, 50968, 58566, 50951, 53442, 51220, 50805, 51315, 51911, 50303, 72272, 59791, 51220, 56508, 51315, 52019, 50303, 76371, 62214, 50902, 51115, 50999, 51115, 54795, 52454, 50299, 64396, 51214, 52026, 50299, 51108, 58319, 60756, 53913, 50861, 59353, 69324, 51244, 50899, 51244, 67964, 54058, 50989, 51103, 50902, 51103, 58359, 52845, 50294, 65435, 51799, 51645, 51120, 51645, 50435, 51378, 50827, 50989, 59321, 51027, 61541, 52565, 50989, 55673, 73470, 72388, 63030, 56350, 50989, 57069, 53562, 50877, 61907, 73470, 52026, 50301, 73790, 63190, 50877, 51218, 50968, 51218, 55547, 63922, 51315, 56307, 51027, 58887, 75127, 74335, 57421, 51040, 52718, 50916, 59219, 75202, 68547, 55441, 51214, 52216, 50299, 72713, 55069, 51966, 51853, 50298, 50972, 60963, 51517, 50296, 62722, 52910, 51086, 67919, 66547, 50824, 51220, 50824, 51430, 53566, 50916, 52718, 50861, 78172, 61241, 50807, 51220, 50807, 51430, 52728, 51841, 51853, 50296, 68081, 61241, 50807, 51220, 50807, 51430, 53312, 51966, 51853, 50298, 50972, 54795, 63141, 57777, 69517, 51800, 50327, 51800, 50330, 57519, 51086, 50974, 53337, 63785, 65934, 51608, 50327, 51608, 50330, 55112, 50861, 51318, 50438, 50973, 51103, 50902, 51103, 50951, 51103, 51220, 66563, 51214, 52454, 50299, 51330, 58359, 52104, 50294, 73585, 65516, 51378, 52688, 51027, 57777, 53751, 50322, 53751, 50330, 51237, 58296, 56298, 50989, 64924, 52297, 50322, 52297, 50330, 59731, 51799, 52454, 50294, 70024, 73412, 76506, 50807, 55547, 71174, 51800, 50329, 57519, 51315, 56307, 51027, 71277, 51608, 50329, 55112, 51040, 52718, 50916, 65521, 51127, 50999, 51127, 50450, 51214, 52104, 50299, 59111, 51966, 51853, 50298, 50972, 56807, 51442, 50327, 51442, 50284, 52026, 50296, 67142, 51114, 66083, 52483, 51086, 57945, 51936, 50327, 55214, 50916, 67646, 67611, 53470, 50861, 74826, 52297, 50327, 59731, 51841, 52104, 50296, 78288, 73093, 59827, 51966, 51260, 50298, 50838, 54795, 51853, 50299, 68636, 73735, 52774, 51086, 74992, 50873, 53337, 74984, 54729, 50861, 74992, 53470, 50973, 51712, 50327, 55480, 50902, 54323, 50968, 50995, 54868, 66918, 51936, 50327, 56763, 51027, 74992, 50849, 53337, 74984, 52605, 50989, 51644, 50325, 54233, 51220, 59460, 76619, 50902, 54230, 50902, 75511, 50995, 55547, 63961, 51315, 71277, 65655, 55035, 51027, 71277, 65655, 54777, 51040, 71277, 65544, 53470, 50916, 73279, 66950, 55082, 51214, 52104, 50299, 71509, 61241, 53312, 51966, 52104, 50298, 51079, 60963, 52026, 50296, 67142, 50951, 80178, 53466, 51114, 78273, 51514, 50303, 72272, 57648, 50968, 60126, 54233, 51086, 65377, 51517, 50322, 52297, 50325, 59731, 51841, 51853, 50296, 51853, 50315, 73093, 59827, 51966, 51853, 50298, 50972, 54795, 52026, 50299, 67142 ]

[ 0, 713, 8787, 5175, 15229, 11, 230, 538, 16, 17407, 30, 63, 182, 1769, 20889, 8, 316, 73, 398, 86, 6543, 4, 20, 15352, 30054, 2125, 1575, 41, 3459, 9590, 6, 81, 9756, 8, 36075, 29589, 6, 13305, 6, 8, 21072, 6, 2351, 10, 11739, 9, 19448, 8, 2933, 23225, 4, 20, 2270, 33215, 16739, 25935, 1626, 227, 230, 8, 274, 73, 347, 1328, 5, 2214, 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 ]

[ 53261, 50639, 50546, 53369, 53601, 53261, 58933, 52266, 50450, 58933, 52266, 50486, 58933, 52266, 50522, 58933, 52266, 50546, 53369, 53601, 53261, 58933, 52266, 50450, 58933, 52266, 50486, 58933, 52266, 50522, 58933, 52266, 50546, 53369, 53601, 53261, 51231, 52121, 58933, 52266, 51434, 52024, 51773, 52024, 51669, 52024, 50416, 51414, 52121, 50417, 51457, 52121, 50450, 58933, 52266, 50486, 58933, 52266, 50510, 53369, 53601, 50522, 51231, 51145, 51414, 51145, 51457, 51145, 51434, 51077, 51773, 51077, 51669, 51077, 58933, 52266, 50546, 51303, 52121, 51515, 52024, 51440, 52024, 51607, 52024, 50548, 51249, 52121, 50549, 51327, 52121, 53261, 58933, 52266, 50438, 51224, 56508, 58933, 52266, 51456, 50943, 50462, 51456, 50943, 50474, 51456, 50943, 50486, 58933, 52266, 51456, 50943, 50498, 51553, 51330, 50510, 51553, 51330, 50522, 58933, 52266, 51553, 51330, 50534, 50804, 51016, 50546, 53369, 53601, 50804, 51016, 53261, 51231, 52121, 58933, 52266, 51434, 52024, 51773, 52024, 51669, 52024, 52936, 57508, 50798, 51677, 51335, 51518, 50416, 51414, 52121, 50417, 51457, 52121, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50927, 59579, 51145, 50843, 52266, 50498, 50964, 51237, 50510, 53369, 53601, 51096, 59579, 50981, 50522, 51231, 51145, 51414, 51145, 51457, 51145, 51434, 51077, 51773, 51077, 51669, 51077, 58933, 52266, 51069, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 51096, 51237, 50546, 51303, 52121, 51515, 52024, 51440, 52024, 51607, 52024, 50964, 51237, 50548, 51249, 52121, 50549, 51327, 52121, 53261, 58933, 52266, 52936, 57508, 50798, 51677, 50843, 52266, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50953, 59579, 51145, 50843, 52266, 50498, 50953, 51237, 50510, 51325, 59579, 50981, 50522, 58933, 52266, 51011, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 50964, 51237, 50546, 53369, 53601, 50927, 51237, 53261, 51231, 52121, 58933, 52266, 51434, 52024, 51773, 52024, 51669, 52024, 50945, 57508, 50798, 51677, 51335, 51518, 50416, 51414, 52121, 50417, 51457, 52121, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50798, 51145, 50843, 52266, 50498, 50964, 51237, 50510, 53369, 53601, 50927, 59579, 50981, 50522, 51231, 51145, 51414, 51145, 51457, 51145, 51434, 51077, 51773, 51077, 51669, 51077, 58933, 52266, 50945, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 50927, 51237, 50546, 51303, 52121, 51515, 52024, 51440, 52024, 51607, 52024, 50964, 51237, 50548, 51249, 52121, 50549, 51327, 52121, 53261, 58933, 52266, 52936, 59939, 50798, 51677, 50843, 52266, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50798, 51145, 50843, 52266, 50498, 50953, 51237, 50510, 51325, 59579, 50981, 50522, 58933, 52266, 51011, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 50964, 51237, 50546, 53369, 53601, 50927, 51237, 53261, 51231, 52121, 58933, 52266, 51434, 52024, 51773, 52024, 51669, 52024, 50945, 54430, 50798, 51677, 51335, 51518, 50416, 51414, 52121, 50417, 51457, 52121, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50798, 51145, 50843, 52266, 50510, 53369, 53601, 50927, 59579, 50981, 50522, 51231, 51145, 51414, 51145, 51457, 51145, 51434, 51077, 51773, 51077, 51669, 51077, 58933, 52266, 50964, 51870, 50804, 51941, 51068, 51692, 50843, 52266, 50546, 51303, 52121, 51515, 52024, 51440, 52024, 51607, 52024, 52936, 59939, 50548, 51249, 52121, 50549, 51327, 52121, 53261, 58933, 52266, 50798, 51677, 50843, 52266, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 51011, 59579, 51145, 50843, 52266, 50498, 50953, 51237, 50510, 51325, 59579, 50981, 50522, 58933, 52266, 51011, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 50964, 51237, 50546, 53369, 53601, 50927, 51237, 53261, 51231, 52121, 58933, 52266, 51434, 52024, 51773, 52024, 51669, 52024, 50945, 57508, 50798, 51677, 51335, 51518, 50416, 51414, 52121, 50417, 51457, 52121, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50927, 59579, 51145, 50843, 52266, 50498, 50964, 51237, 50510, 53369, 53601, 51096, 59579, 50981, 50522, 51231, 51145, 51414, 51145, 51457, 51145, 51434, 51077, 51773, 51077, 51669, 51077, 58933, 52266, 51069, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 51096, 51237, 50546, 51303, 52121, 51515, 52024, 51440, 52024, 51607, 52024, 50964, 51237, 50548, 51249, 52121, 50549, 51327, 52121, 53261, 58933, 52266, 50964, 57508, 50798, 51677, 50843, 52266, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50953, 59579, 51145, 50843, 52266, 50498, 50953, 51237, 50510, 51325, 59579, 50981, 50522, 58933, 52266, 51011, 60005, 51941, 51068, 51692, 50843, 52266, 50534, 50964, 51237, 50546, 53369, 53601, 50927, 51237, 53261, 51231, 52121, 58933, 52266, 51434, 52024, 51773, 52024, 51669, 52024, 50945, 57508, 50798, 51677, 50843, 52266, 50416, 51414, 52121, 50417, 51457, 52121, 50450, 58933, 52266, 50804, 51941, 51068, 51692, 50843, 52266, 50486, 58933, 52266, 50927, 59579, 51677, 50843, 52266, 50498, 50964, 51237, 50510, 53369, 52017, 50927, 51237, 50522, 51231, 51145, 51414, 51145, 51457, 51145, 51434, 51077, 51773, 51077, 51669, 51077, 58933, 52266, 50945, 51237, 52060, 50873, 50528, 51456, 51218, 50534, 50927, 51237, 50546, 51303, 52121, 50964, 51237, 50548, 51249, 52121, 50549, 51327, 52121, 53261, 53369, 52266, 51515, 51538, 51440, 51538, 52936, 53174, 50798, 51677, 51335, 51518, 50450, 53369, 52266, 51515, 51538, 51440, 51538, 51069, 53174, 50804, 51941, 50843, 52266, 50486, 51660, 51077, 51434, 51077, 55243, 52266, 50964, 77609, 51145, 50843, 52266, 50510, 51440, 50889, 50945, 59579, 50981, 50522, 55243, 51551, 51660, 51077, 51434, 51077, 51019, 51870, 50804, 51941, 50843, 52266, 50546, 53722, 52017, 51614, 52024, 51515, 52024, 51440, 52024, 50927, 54430, 53261, 50798, 51677, 50843, 52266, 50450, 53722, 52266, 50804, 51941, 50843, 52266, 50486, 53722, 52266, 50804, 51016, 50498, 50804, 51016, 50510, 51614, 51538, 51515, 51538, 51440, 51538, 51019, 51237, 52060, 50943, 50522, 53722, 51551, 50945, 51870, 51456, 51127, 50546, 57848, 53601, 52769, 53601, 52745, 52024, 51434, 52024, 50953, 54430, 50798, 51677, 51335, 51359, 53135, 51450, 50981, 51382, 51941, 50843, 52266, 50486, 50798, 51145, 50843, 52266, 50510, 57848, 59359, 51016, 50522, 52769, 51090, 52745, 50889, 51434, 55506, 51356, 50546, 57117, 52266, 51614, 53090, 51515, 53090, 50798, 51677, 51335, 51359, 53261, 51186, 56769, 50438, 57117, 59359, 58833, 52557, 51551, 50804, 51356, 50474, 54437, 52266, 51660, 51264, 51434, 51264, 51133, 59939, 50798, 51677, 51335, 51359, 50510, 54437, 51090, 51224, 50943, 50522, 51774, 51551, 51660, 51077, 51434, 51077, 51224, 50943, 50534, 51456, 50943, 50546, 54437, 51090, 51456, 50943, 53261, 53369, 52266, 51515, 51538, 51440, 51538, 52936, 53174, 50798, 51677, 51335, 51518, 50450, 53369, 52266, 51515, 51538, 51440, 51538, 51069, 53174, 50804, 51941, 50843, 52266, 50486, 55243, 51551, 51660, 51077, 51434, 51077, 50964, 77609, 51145, 50843, 52266, 50510, 53369, 51090, 51440, 50889, 50945, 59579, 50981, 50522, 55243, 51551 ]

[ 0, 250, 765, 6, 14899, 3152, 8, 3495, 37903, 4246, 3459, 9590, 6, 13602, 6757, 6, 13305, 6, 2003, 38704, 31365, 25999, 6, 8, 21072, 6, 70, 8216, 7, 10, 33928, 8, 15352, 30054, 5466, 11, 83, 538, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50791, 53432, 50802, 51787, 51537, 50337, 50812, 52912, 50854, 62644, 50718, 50282, 50803, 57537, 51939, 53256, 51939, 52451, 51939, 51039, 50817, 51787, 51609, 50337, 50833, 52912, 50810, 51544, 51463, 50811, 51787, 51537, 50337, 51689, 50342, 50854, 78794, 51361, 53432, 53819, 50334, 51537, 50337, 51689, 50342, 50844, 51570, 53432, 50803, 51787, 51537, 50337, 51689, 50342, 50810, 51011, 51237, 51180, 50817, 51787, 51954, 50337, 51537, 50342, 50822, 52320, 51463, 50811, 51787, 51764, 50337, 50813, 52912, 50822, 51415, 51603, 51453, 50817, 51787, 51954, 50337, 51537, 50342, 50822, 53028, 53432, 50802, 51787, 52081, 50337, 51537, 50342, 50822, 50927, 51237, 50718, 50282, 50950, 57537, 51008, 53256, 50959, 52451, 51058, 51039, 50817, 51787, 51954, 50337, 51604, 50342, 50851, 51544, 51463, 50811, 51787, 51604, 50337, 51537, 50342, 50844, 51213, 51072, 51361, 53432, 53819, 50334, 51604, 50337, 51609, 50342, 50874, 50718, 50282, 50803, 57537, 51008, 52451, 51008, 50433, 53256, 51008, 51570, 53432, 50803, 51787, 51764, 50337, 51537, 50342, 50822, 51011, 51090, 51180, 50817, 51787, 51954, 50337, 51609, 50342, 50886, 52320, 51463, 50811, 51787, 51604, 50337, 50813, 52912, 50844, 51415, 51290, 51453, 50817, 51787, 51609, 50337, 51537, 50342, 50857, 50718, 50281, 50860, 53028, 53432, 50802, 51787, 51954, 50337, 51609, 50342, 50874, 50927, 51237, 50718, 50282, 51033, 50415, 57537, 52222, 53256, 52222, 52451, 52222, 51039, 50817, 51787, 51954, 50337, 51609, 50342, 50874, 51544, 51463, 50811, 51787, 51604, 50337, 51537, 50342, 50844, 78794, 51361, 53432, 53819, 50334, 51764, 50337, 51604, 50342, 50844, 51570, 53432, 50803, 51787, 51537, 50337, 50813, 52912, 50810, 51011, 51290, 51180, 50817, 51787, 51764, 50337, 51682, 50342, 50844, 52320, 51463, 50811, 51787, 50813, 51814, 51689, 50342, 50862, 51415, 51055, 51453, 50817, 51787, 51609, 50337, 51682, 50342, 50886, 53028, 53432, 50802, 51787, 51537, 50337, 50813, 52912, 50857, 62644, 50718, 50282, 50860, 57537, 50905, 53256, 50905, 52451, 50905, 52892, 50978, 51039, 50817, 51787, 51537, 50337, 51689, 50342, 50844, 51544, 51463, 50811, 51787, 51609, 50337, 51537, 50342, 50857, 51019, 51237, 51361, 53432, 53819, 50334, 51609, 50337, 50813, 52912, 50886, 50718, 50282, 50950, 57537, 50978, 53256, 50978, 52892, 50905, 52451, 50905, 51570, 53432, 50803, 51787, 51954, 50337, 51537, 50342, 50864, 50945, 51735, 51180, 50817, 51787, 51604, 50337, 50813, 52912, 50867, 52320, 51463, 50811, 51787, 51604, 50337, 50813, 52912, 50867, 51213, 51237, 51453, 50817, 51787, 51682, 50337, 51581, 50342, 50813, 68921, 50923, 53028, 53432, 50802, 51487, 50813, 53117, 50809, 52912, 50833, 50953, 51566, 61142, 50921, 54921, 52151, 52451, 52151, 53952, 52151, 50415, 53205, 52151, 51039, 50817, 51487, 51954, 50339, 50813, 52912, 50864, 51544, 51463, 50811, 51487, 51954, 50339, 51682, 50342, 50864, 51415, 50824, 51361, 53432, 53819, 50335, 51954, 50339, 51689, 50342, 50886, 51570, 53432, 50803, 51487, 52666, 50339, 51537, 50342, 50864, 51271, 51090, 51180, 50817, 51487, 52386, 50339, 50813, 52912, 50874, 52320, 51463, 50811, 51487, 52386, 50339, 51609, 50342, 50827, 51817, 51237, 51453, 50817, 51487, 52386, 50339, 50813, 52912, 50941, 53028, 53432, 50802, 51487, 51954, 50339, 51682, 50342, 50874, 50953, 51090, 61142, 58197, 54921, 50978, 52451, 50978, 53952, 50959, 53205, 50959, 51039, 50817, 51487, 51954, 50339, 51682, 50342, 50822, 51544, 51463, 50811, 51487, 51954, 50339, 50813, 52912, 50886, 51415, 50824, 51361, 53432, 53819, 50335, 51954, 50339, 51682, 50342, 50874, 61142, 61964, 54921, 50959, 52451, 50959, 53952, 50959, 53205, 50822, 51570, 53432, 50803, 51487, 52666, 50339, 51609, 50342, 50904, 51271, 51090, 51180, 50817, 51487, 53529, 50339, 50844, 52912, 50904, 52320, 51463, 50811, 51487, 52386, 50339, 51537, 50342, 50864, 51817, 51735, 51453, 50817, 51487, 52666, 50339, 50813, 52912, 50904, 50718, 50281, 51021, 53028, 53432, 50802, 51787, 51537, 50337, 51689, 50342, 50822, 50927, 51454, 50718, 50282, 50921, 57537, 52151, 53256, 52151, 52892, 52151, 52451, 52151, 51039, 50817, 51787, 50827, 51814, 50912, 52912, 50907, 51544, 51463, 50811, 51787, 50851, 51814, 51604, 50342, 50851, 78794, 51361, 53432, 53819, 50334, 51604, 50337, 51537, 50342, 50874, 51570, 53432, 50803, 51787, 51954, 50337, 51537, 50342, 50827, 51011, 51237, 51180, 50817, 51787, 52081, 50337, 51609, 50342, 50827, 52320, 51463, 50811, 51787, 52666, 50337, 50827, 52912, 50851, 51415, 51237, 51453, 50817, 51787, 52081, 50337, 51604, 50342, 50851, 53028, 53432, 50802, 51787, 51954, 50337, 50851, 52912, 50851, 74235, 50718, 50282, 50823, 52451, 50905, 57537, 50978, 53256, 50905, 52892, 75558, 50817, 51787, 51604, 50337, 50822, 52912, 50827, 51544, 51463, 50811, 51787, 51604, 50337, 51609, 50342, 50851, 51213, 51054, 51361, 53432, 53819, 50334, 52081, 50337, 51604, 50342, 50941, 50718, 50282, 61964, 57537, 50978, 52451, 50905, 53256, 50978, 52892, 50905, 51570, 53432, 50803, 51787, 51764, 50337, 50813, 52912, 50886, 51011, 51090, 51180, 50817, 51787, 51609, 50337, 51682, 50342, 50822, 52320, 51463, 50811, 51787, 51764, 50337, 51682, 50342, 50886, 51415, 51055, 51453, 50817, 51787, 51537, 50337, 51682, 50342, 50822, 62828, 51138, 53028, 53432, 50802, 51814, 50808, 53684, 51581, 50344, 50812, 51011, 51090, 59931, 51014, 53281, 52151, 50415, 53256, 52151, 54801, 52151, 51039, 50817, 51814, 51689, 50341, 50854, 55226, 50813, 51544, 51463, 50811, 51814, 51682, 50341, 50833, 55226, 50810, 52022, 51237, 50431, 53205, 51148, 51361, 53432, 53819, 50337, 50810, 53684, 50810, 55226, 50822, 51570, 53432, 50803, 51814, 50833, 53684, 50854, 55226, 50854, 51817, 51090, 51180, 50817, 51814, 51537, 50341, 51537, 50344, 50822, 52320, 51463, 50811, 51814, 51682, 50341, 51682, 50344, 50854, 52646, 50896, 51453, 50817, 51814, 51682, 50341, 51689, 50344, 50855, 53028, 53432, 50802, 51487, 51609, 50339, 50858, 52912, 50854, 50953, 51013, 61142, 50950, 52451, 51242, 53952, 50905, 53205, 50905, 54921, 75558, 50817, 51487, 50827, 53117, 50833, 52912, 50810, 51544, 51463, 50811, 51487, 50822, 53117, 50809, 52912, 50854, 51415, 50824, 51361, 53432, 53819, 50335, 50822, 53117, 51581, 50342, 60733, 61142, 50950, 54921, 50978, 53952, 50978, 53205, 50978, 52451, 50978, 51570, 53432, 50803, 51487, 50874, 53117, 50808, 52912, 50822, 51271, 51016, 51180, 50817, 51487, 51609, 50339, 51731, 50342, 50844, 52320, 51463, 50811, 51487, 50874, 53117, 51731, 50342, 50844, 51817, 51735, 51453, 50817, 51487, 51604, 50339, 50808, 52912, 50844, 50718, 50281, 51012, 53028, 53432, 50802, 51787, 51682, 50337, 51581, 50342, 50822, 50927, 51454, 50718, 50282, 50948, 57537, 51313, 53256, 51313, 52892, 51313, 52451, 51313, 51039, 50817, 51787, 50827, 51814, 50810, 52912, 50844, 51544, 51463, 50811, 51787, 50813, 51814, 50833, 52912, 50810, 78794, 51361, 53432, 53819, 50334, 51609, 50337, 50813, 52912, 50810, 51570, 53432, 50803, 51787, 50874, 51814, 50854, 52912, 50844, 79388, 51180, 50817, 51787, 51609, 50337, 50854, 52912, 50810, 52320, 51463, 50811, 51787, 51764, 50337, 51682, 50342, 50854, 51325, 51237, 51453, 50817, 51787, 51537, 50337, 50854, 52912, 50822, 53028, 53432, 50802, 51399, 50813, 51430 ]

[ 0, 250, 2635, 12, 20764, 15855, 2125, 11, 211, 538, 6, 4246, 6168, 3540, 6, 21979, 8669, 6, 12280, 3275, 1725, 3109, 6, 38668, 11212, 6, 8, 5921, 3343, 1290, 642, 5255, 6, 2351, 41, 9066, 8, 25306, 5466, 19, 2933, 223, 34693, 6, 10686, 13, 10, 822, 19834, 6, 19, 10, 33215, 16739, 9, 83, 6, 274, 10431, 119, 6, 272, 6, 8, 211, 6, 278, 11, 41, 18186, 112, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 52552, 50619, 50745, 50294, 51103, 50657, 50282, 51103, 50416, 68847, 58160, 61513, 64682, 54650, 59432, 61513, 55155, 68847, 61057, 61513, 50836, 52552, 61616, 75240, 61513, 58160, 68847, 64682, 54650, 59432, 61616, 55155, 68847, 61057, 61513, 50836, 52552, 50745, 50291, 51103, 50657, 50279, 51103, 50416, 68847, 58160, 61513, 64682, 54650, 59432, 61513, 55155, 68847, 61057, 61513, 50836, 52552, 61616, 75240, 61513, 58160, 68847, 64682, 54650, 59432, 61616, 55155, 68847, 61057, 61513, 50836, 52552, 50745, 50292, 51103, 50657, 50280, 51103, 50416, 68847, 58160, 61513, 64682, 54650, 59432, 61513, 55155, 68847, 61057, 61513, 50836, 52552, 61616, 75240, 61513, 58160, 68847, 64682, 54650, 59432, 61616, 55155, 68847, 61057, 61513, 50836, 52552, 50745, 50299, 51103, 59112, 51103, 50416, 52494, 58160, 52203, 64682, 52614, 59432, 52203, 55155, 52494, 61057, 52203, 50836, 52552, 53839, 57368, 52494, 64682, 53839, 54402, 52203, 58745, 52614, 50917, 50425, 65935, 52552, 50745, 50294, 51103, 50657, 50282, 51103, 67197, 75240, 68847, 50836, 57223, 57368, 61513, 64682, 54650, 50812, 57223, 59432, 61513, 50836, 57223, 54080, 68847, 61057, 61513, 50836, 50676, 50339, 50812, 52552, 61616, 75240, 61513, 50836, 57223, 57368, 68847, 64682, 54650, 50812, 57223, 50917, 50422, 61616, 55155, 68847, 61057, 61513, 50836, 65935, 52552, 50745, 50291, 51103, 50657, 50279, 51103, 67197, 75240, 68847, 50836, 67197, 57368, 61513, 64682, 54650, 50812, 67197, 59432, 61513, 50836, 54374, 55155, 68847, 50836, 54039, 62046, 61513, 50836, 52552, 61616, 75240, 61513, 58160, 68847, 64682, 54650, 59432, 61616, 55155, 68847, 61057, 61513, 50836, 50676, 50342, 50836, 52552, 50745, 50292, 51103, 50657, 50280, 51103, 50676, 50340, 75240, 68847, 50836, 50676, 50340, 57368, 61513, 64682, 54650, 50812, 50676, 50340, 50917, 50422, 61513, 55155, 68847, 50836, 50676, 50339, 61057, 61513, 50836, 50676, 50339, 50812, 52552, 61616, 75240, 61513, 50836, 57223, 57368, 68847, 64682, 54650, 50812, 57223, 50917, 50422, 61616, 55155, 68847, 61057, 61513, 50836, 65935, 52552, 50745, 50299, 51103, 59112, 51103, 67197, 50812, 50416, 61513, 58160, 54650, 50836, 59048, 64682, 54019, 50812, 59048, 59432, 54650, 50836, 57223, 54080, 61513, 61057, 70825, 50836, 59048, 50917, 52552, 61616, 57368, 61513, 64682, 61616, 54402, 54650, 58745, 54019, 50836, 51649, 55155, 61513, 50836, 50676, 50339, 62046, 68847, 50836, 52552, 50745, 50294, 51103, 50657, 50282, 51103, 57223, 75240, 68847, 50836, 57223, 50917, 50417, 61513, 64682, 54650, 52871, 57223, 59432, 61513, 55155, 68847, 50836, 57223, 61057, 61513, 50836, 50676, 50339, 50917, 52552, 61616, 75240, 61513, 58160, 68847, 50836, 57223, 64682, 54650, 50812, 57223, 50917, 50422, 61616, 55155, 68847, 61057, 61513, 50836, 54039, 50836, 52552, 50745, 50291, 51103, 50657, 50279, 51103, 67197, 50812, 50416, 68847, 58160, 61513, 50836, 67197, 64682, 54650, 50812, 67197, 59432, 61513, 50836, 59048, 54080, 68847, 61057, 61513, 50836, 67197, 50917, 52552, 61616, 75240, 61513, 58160, 68847, 64682, 54650, 59432, 61616, 55155, 68847, 50836, 50676, 50342, 62046, 61513, 50836, 52552, 50745, 50292, 51103, 50657, 50280, 51103, 50676, 50340, 75240, 68847, 50836, 50676, 50340, 50917, 50417, 61513, 64682, 54650, 52871, 50676, 50340, 59432, 61513, 55155, 68847, 50836, 50676, 50339, 61057, 61513, 50836, 50676, 50339, 50812, 52552, 61616, 75240, 61513, 50836, 57223, 50917, 50417, 68847, 64682, 54650, 52871, 57223, 58745, 61513, 50836, 57223, 78768, 68847, 61057, 61513, 50836, 52552, 50745, 50287, 50836, 50657, 50275, 50836, 59048, 75240, 50745, 50287, 51110, 50657, 50275, 51110, 59048, 50917, 50417, 52203, 64682, 52614, 52871, 59048, 59432, 52203, 78768, 50745, 50287, 50836, 50657, 50275, 50836, 57223, 61057, 50745, 50287, 51159, 50657, 50275, 51159, 59048, 50917, 52552, 53839, 57368, 52494, 64682, 53839, 54402, 52203, 58745, 52614, 78768, 76051, 50836, 59988, 61057, 50745, 50296, 50836, 74770, 50836, 52552, 50745, 50290, 50917, 50657, 50278, 50917, 50417, 52494, 50836, 52849, 50836, 62012, 64682, 50745, 50289, 50849, 50657, 50277, 59573, 52494, 50836, 52849, 50836, 62012, 61057, 50745, 50289, 50836, 50657, 50277, 50836, 52552, 50745, 50290, 50917, 50657, 50278, 50917, 50417, 52494, 50836, 52849, 50836, 62012, 64682, 50745, 50289, 50849, 50657, 50277, 59573, 52494, 50836, 52849, 50836, 62012, 61057, 50745, 50289, 50836, 50657, 50277, 50836, 52552, 50745, 50290, 50917, 50657, 50278, 50917, 50417, 52494, 50836, 52849, 50836, 62012, 64682, 50745, 50289, 50849, 50657, 50277, 59573, 52494, 50836, 52849, 50836, 62012, 61057, 50745, 50289, 50836, 50657, 50277, 50836, 52552, 52494, 50836, 52849, 50836, 50745, 50290, 50836, 50657, 50278, 50836, 62012, 75240, 52494, 50917, 52900, 50917, 50745, 50292, 50812, 50657, 50280, 50812, 58563, 50917, 50419, 50657, 50280, 54402, 52494, 50812, 52900, 50812, 55411, 50812, 58563, 54080, 50657, 50280, 61057, 67405, 50836, 52552, 54019, 50917, 53839, 50917, 50745, 50294, 50812, 50657, 50282, 50812, 61404, 50917, 50417, 50745, 50292, 50836, 50657, 50280, 64682, 54577, 50812, 52203, 50812, 50745, 50299, 50812, 59112, 50812, 61404, 59432, 54577, 50836, 52203, 50836, 50745, 50299, 50836, 59112, 50836, 61404, 55155, 50745, 50292, 50836, 50657, 50280, 61057, 50745, 50293, 50836, 67405, 50836, 52552, 54019, 50812, 53839, 50812, 50745, 50294, 50812, 50657, 50282, 50812, 61404, 57368, 50745, 50292, 50812, 50657, 50280, 52871, 54577, 50812, 52203, 50812, 50745, 50299, 50812, 59112, 50812, 61404, 54080, 50745, 50292, 50812, 50657, 50280, 50812, 52552, 54019, 50812, 53839, 50812, 50745, 50294, 50812, 50657, 50282, 50812, 61404, 57368, 50745, 50292, 50812, 50657, 50280, 52871, 54577, 50812, 52203, 50812, 50745, 50299, 50812, 59112, 50812, 61404, 54080, 50745, 50292, 50812, 50657, 50280, 50812, 52552, 52203, 50836, 56940, 50836, 50745, 50292, 50836, 50657, 50280, 50836, 56220, 75240, 52614, 50812, 69850, 50812, 50745, 50294, 50812, 50657, 50282, 50812, 56333, 72294, 52614, 50836, 63071, 50836, 50745, 50292, 50836, 50657, 50280, 50836, 56333, 54402, 52614, 50812, 69850, 50812, 50745, 50294, 50812, 50657, 50282, 50812, 56333, 54080, 50745, 50292, 50836, 50657, 50280, 61057, 50745, 50293, 50836, 67405, 50836, 52552, 54019, 50917, 53839, 50917, 50745, 50294, 50812, 50657, 50282, 50812, 67197, 50836, 61404, 50917, 50416, 67197, 58160, 50745, 50292, 50836, 50657, 50280, 50836, 67197, 64682, 54577, 50812, 52203, 50812, 50745, 50299, 50812, 59112, 50812, 67197, 50917, 61404, 59432, 54577, 50836, 52203, 50836, 50745, 50299, 50836, 59112, 50836, 61404, 55155, 50745, 50292, 50836, 50657, 50280, 50836, 54374, 61057, 50745, 50293, 50836, 67405, 50836, 54039, 50836, 52552, 54019, 50917, 53839, 50917, 50745, 50294, 50812, 50657, 50282, 50812, 67197, 50836, 61404, 50917, 50416, 67197, 57368, 50745, 50292, 50836, 50657, 50280, 64682, 54577, 50812, 52203, 50812, 50745, 50299, 50812, 59112, 50812, 67197, 50812, 61404, 59432, 54577, 50836, 52203, 50836, 50745, 50299, 50836, 59112, 50836, 54374, 50836, 61404, 55155, 50745, 50292, 50836, 50657, 50280, 50836, 67197, 61057, 50745, 50293, 50836, 67405, 50836, 52548, 50836, 52552, 54019, 50812, 53839, 50812, 50745, 50294, 50812, 50657, 50282 ]

[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 11, 230, 538, 6, 4246, 10, 13305, 14, 1974, 149, 10, 33215, 16739, 9, 274, 6, 272, 6, 8, 230, 119, 1176, 406, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 10, 20889, 9, 1510, 13410, 228, 2289, 6, 5, 2125, 7630, 6568, 10, 3344, 9, 2933, 8, 3722, 6711, 29, 6, 2905, 10686, 13, 10, 822, 19834, 50, 10, 657, 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 ]

[ 57528, 50876, 51958, 50325, 51585, 50871, 51469, 56546, 53585, 50876, 50980, 50447, 50931, 53153, 72862, 50876, 50980, 50453, 50951, 52935, 50999, 50806, 54960, 71064, 51226, 50999, 51226, 50997, 51196, 56546, 55224, 50951, 52322, 50900, 71064, 51285, 51081, 51285, 58365, 52610, 50906, 61805, 51160, 53011, 51645, 50456, 50871, 54863, 50997, 50821, 68928, 54296, 50851, 54734, 72066, 51274, 50900, 51274, 50877, 51274, 53941, 51449, 53011, 74818, 51085, 52247, 51027, 55224, 50861, 62596, 53585, 51027, 51196, 55513, 52610, 50871, 55982, 50861, 52935, 50877, 50806, 55524, 60599, 51285, 50876, 51285, 51234, 51196, 56248, 52309, 50871, 52322, 51085, 56294, 62596, 55451, 51026, 52610, 57002, 50877, 66728, 59908, 60216, 50906, 52935, 60437, 65585, 50900, 56277, 50876, 51160, 50876, 51307, 54734, 51469, 53502, 52247, 50877, 56501, 52309, 50951, 77535, 52322, 50861, 52692, 50876, 52610, 50877, 63037, 52931, 50861, 50806, 54662, 50821, 50876, 66147, 51050, 53113, 50876, 64151, 52500, 60718, 55658, 50871, 52749, 50871, 64110, 51189, 58365, 52610, 50900, 51160, 50459, 70835, 54960, 51519, 50292, 51274, 58060, 54080, 50876, 60412, 50876, 52749, 60437, 51026, 55246, 50861, 52841, 51315, 62667, 55441, 50900, 59908, 50861, 52955, 51315, 57442, 50849, 55694, 51519, 50297, 51274, 57340, 54080, 50906, 60412, 50876, 53308, 50900, 55246, 50876, 51191, 63451, 52692, 50900, 51274, 60027, 55874, 50906, 52955, 50876, 54421, 50876, 51191, 54197, 51469, 53502, 52500, 56546, 52309, 50931, 77535, 52322, 50877, 52692, 50876, 52610, 50968, 77535, 52931, 50871, 54863, 65585, 55435, 56501, 57743, 55419, 50876, 57743, 53765, 50902, 53308, 50871, 54125, 50899, 51226, 50871, 51191, 62335, 51196, 65851, 50896, 50459, 70835, 54960, 58963, 62667, 51958, 50292, 51274, 73401, 52871, 50876, 54080, 50876, 51124, 53645, 62667, 55224, 60437, 51026, 55246, 50876, 53470, 51315, 62667, 69152, 50861, 52597, 71356, 55895, 59908, 50861, 52955, 51315, 57442, 50849, 55694, 57743, 51958, 50297, 51274, 50900, 51274, 57340, 54080, 50906, 53466, 50871, 69460, 50876, 52749, 50900, 56501, 51191, 63451, 57926, 60599, 55451, 50900, 55967, 50876, 52848, 51315, 65332, 58263, 62596, 57024, 50951, 64774, 56277, 68278, 56229, 57743, 60599, 51958, 50294, 51274, 63766, 53466, 50931, 58963, 60599, 69460, 50902, 52749, 51027, 63037, 51189, 55898, 64110, 60599, 54526, 50899, 57926, 60599, 70388, 51147, 53702, 51120, 56277, 68278, 56807, 64774, 64110, 60599, 51958, 50292, 51469, 75536, 52871, 50931, 54080, 50931, 53466, 50900, 64110, 60599, 69460, 50931, 58926, 50902, 52841, 50931, 64774, 64110, 60599, 69152, 50902, 51124, 56415, 63720, 70388, 50861, 52163, 50877, 54934, 61673, 58479, 65872, 62571, 51958, 50291, 52500, 50420, 50951, 54080, 50951, 74592, 50973, 62571, 55224, 50931, 54125, 50951, 53470, 50861, 70512, 62571, 69152, 50931, 52597, 50902, 53794, 50861, 70512, 57024, 51324, 56277, 60437, 58479, 50812, 50876, 71064, 51958, 50292, 51274, 73290, 59573, 50951, 53466, 50876, 71064, 69460, 50931, 52749, 51026, 62656, 55965, 51085, 56501, 77079, 55451, 50900, 65332, 53794, 51279, 62656, 57669, 62596, 57024, 50951, 64774, 56277, 68278, 56229, 58801, 62571, 51958, 50290, 51274, 63766, 53466, 50951, 58801, 62571, 55224, 51234, 62656, 51189, 62204, 62219, 72676, 51196, 55513, 52610, 50900, 58891, 53532, 50871, 52163, 50861, 54934, 60437, 58479, 50812, 51050, 62596, 71064, 66281, 50951, 52871, 50951, 74592, 51315, 62596, 71064, 69460, 50931, 52749, 50999, 51124, 66240, 62596, 77079, 69152, 50931, 52597, 50999, 53794, 51085, 62656, 57669, 62596, 57024, 50951, 64774, 56277, 68278, 56229, 58801, 62571, 51958, 50290, 51274, 63766, 53466, 50951, 58801, 62571, 55224, 51234, 62656, 51189, 62204, 62219, 72676, 51274, 55513, 52610, 50900, 75209, 57024, 60437, 51315, 56277, 60437, 58479, 50812, 51050, 62596, 71064, 66281, 50951, 52871, 50951, 74592, 51315, 62596, 77079, 69460, 50931, 52749, 50999, 51124, 66240, 62596, 71064, 69152, 50931, 52597, 50999, 54672, 50951, 67081, 51085, 62596, 71064, 57024, 50951, 50849, 56807, 50812, 51234, 61505, 62571, 66281, 50931, 52871, 51050, 63037, 50849, 53337, 61505, 62656, 53308, 51026, 62656, 51189, 50861, 51196, 50968, 60655, 51085, 52692, 51026, 52610, 50916, 52931, 60437, 51085, 57442, 56277, 60437, 58479, 51519, 50294, 62571, 71064, 55419, 50951, 54080, 50951, 52710, 50931, 51519, 50292, 62596, 77079, 55224, 50999, 54125, 50951, 53470, 50973, 51274, 50902, 51274, 51324, 51469, 50441, 50931, 52597, 50951, 54672, 50931, 51189, 50456, 71433, 50902, 56277, 72822, 56807, 52774, 50902, 52247, 50861, 55224, 50931, 53470, 50931, 57669, 51196, 50876, 51196, 51085, 51469, 75795, 54672, 50876, 60976, 50906, 52955, 50906, 54421, 79724, 54578, 55419, 57002, 51027, 54901, 50877, 53466, 50900, 57200, 50876, 53308, 51026, 55246, 50876, 51191, 62335, 64110, 51196, 50906, 51196, 51085, 51469, 55895, 50896, 50459, 60437, 55435, 51167, 50876, 51110, 63686, 51167, 50931, 51110, 79580, 51167, 50968, 51110, 60496, 71064, 71064, 51103, 51247, 51469, 55513, 52610, 50877, 52931, 50876, 50806, 54594, 52774, 50876, 52247, 74231, 50931, 55104, 50951, 52686, 50999, 52322, 51234, 63037, 51274, 50999, 68249, 51050, 57024, 50899, 62656, 50806, 53997, 61505, 71064, 51958, 50326, 55419, 51026, 53765, 50877, 69270, 66734, 56014, 50806, 65281, 56057, 50876, 56501, 51800, 50285, 51469, 55513, 52610, 50877, 56501, 52931, 50951, 77535, 50806, 54594, 52774, 50876, 52247, 50877, 63037, 52309, 50861, 55246, 50871, 52841, 51234, 50821, 50876, 61772, 51050, 53247, 50876, 64151, 52500, 63932, 53702, 50871, 58963, 50896, 50459, 50871, 51191, 52591, 50861, 52247, 50900, 71832, 50871, 52841, 50876, 51519, 50292, 68249, 50876, 54672, 50876, 60976, 50876, 52955, 51026, 56501, 51124, 57551, 66281, 50876, 52871, 50861, 54080, 50861, 50914, 53523, 52309, 51315, 55246, 50877, 52841, 50906, 51519, 50297, 51274, 67964, 54672, 50906, 60976, 50876, 53702, 50900, 56277, 50876, 50914, 54197, 52774, 50900, 51274, 50423, 50871, 52710, 50877, 55658, 50906, 52749, 50876, 54125, 50876, 51191, 63451, 51469, 55513, 52500, 50450, 50876, 52931, 50931, 77535, 50806, 54852, 52774, 50876, 52247, 50968, 77535, 52309, 50871, 53660, 50876, 52877, 50997, 56501, 57743, 55451, 50876, 57743, 54526, 50902, 53702, 50871, 54421, 50871, 64815, 51226, 55435, 51196, 60564, 76883, 50871, 52841, 50876, 58963, 62667, 51958, 50292, 51274, 50441, 50876, 52597, 50876, 51124, 56415, 62667, 70388, 50876, 52955, 60437, 51026, 56277, 50876, 50849, 57551, 62667, 66281, 50861, 50914, 53523, 57200, 50861, 52749, 51315, 57442, 53470, 50906, 57743, 51958, 50297, 51274, 50900, 51274, 67964, 54672, 50906, 53794, 50871, 70388, 50876, 53702, 50900, 56277, 50876, 50914, 54197, 57926, 60599, 50896, 53502, 54901, 50876, 52710, 51315, 65332, 58263, 62596, 55224, 50951, 64774, 55246, 50951, 52841, 50931, 57743, 60599, 51958, 50294, 68249, 50931, 53794, 50931, 57743, 60599, 57024, 61673, 51027, 56277, 50931, 51191, 54206, 64110, 60599, 50896, 53337, 57926, 60599, 69460, 51147, 53308, 51120, 55246, 50951, 52841, 50931, 69214, 64110, 60599, 51958, 50292, 51469, 50444, 50931, 54672, 50931, 53794, 50900, 64110, 60599, 70388, 50931, 62355, 61673, 56229, 64774, 64110, 60599, 66281, 50902 ]

[ 0, 250, 765, 3495, 2214, 11, 83, 3694, 19, 10, 2933, 8, 3722, 26438, 1264, 6, 4246, 10, 15352, 30054, 4782, 14, 115, 28, 341, 11, 10, 822, 4, 85, 34, 41, 12447, 1001, 20889, 6, 10, 204, 73, 306, 86, 6543, 6, 8, 10, 33215, 16739, 9, 1918, 1176, 406, 6, 381, 6, 163, 119, 6, 1918, 6, 8, 230, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 50899, 51492, 50877, 51646, 50931, 51923, 50968, 50795, 55331, 51646, 51028, 51923, 50902, 50795, 57289, 51736, 51028, 51646, 50877, 50795, 50796, 55898, 51492, 50877, 50795, 56229, 51736, 50968, 51646, 50902, 50795, 58540, 51736, 50902, 51646, 50968, 50795, 50796, 59419, 51492, 50877, 50795, 56807, 51736, 50931, 51646, 50968, 50795, 55331, 51736, 50968, 51646, 50931, 51923, 50968, 50795, 55331, 50795, 54578, 51492, 50877, 51646, 50877, 51923, 50906, 50795, 54960, 50795, 54960, 51646, 50876, 51923, 50906, 50795, 54852, 50795, 54206, 57543, 51631, 50899, 52424, 50899, 59351, 51798, 50899, 53312, 50968, 50795, 54206, 56831, 51631, 50899, 52424, 50899, 63057, 51798, 50899, 53312, 50902, 50795, 54206, 59900, 51631, 50899, 53182, 51028, 51646, 50899, 57543, 50795, 50796, 55898, 57543, 51798, 50899, 50807, 54206, 59351, 51631, 50899, 53182, 50968, 51646, 50899, 56831, 51798, 50899, 50807, 54206, 63057, 51631, 50899, 53182, 50902, 51646, 50899, 59900, 51798, 50899, 50807, 50796, 59419, 57543, 51798, 50916, 50807, 55524, 61241, 51631, 50916, 53182, 50931, 51646, 50916, 59900, 51798, 50916, 50807, 55524, 56831, 51631, 50916, 53182, 50968, 51646, 50916, 59351, 51798, 50916, 53312, 50968, 50795, 55524, 56831, 50795, 54578, 57543, 51631, 50871, 52424, 50871, 57543, 51798, 50871, 53312, 50906, 50795, 54578, 55695, 51631, 50871, 52424, 50871, 52728, 50871, 50807, 54578, 55695, 51631, 50871, 52424, 50871, 55695, 51798, 50871, 53312, 50906, 50795, 54578, 57543, 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, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 15229, 7630, 6568, 10, 1472, 9, 15073, 8, 9066, 9733, 4, 27901, 10, 4066, 20535, 8, 5627, 9428, 12547, 217, 326, 5638, 18026, 6, 17465, 102, 6, 17691, 28430, 6, 32909, 6, 8, 1076, 560, 31365, 25999, 6, 24, 30853, 11, 274, 3694, 23, 10, 7212, 20889, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 9, 12608, 6, 163, 428, 6, 8, 230, 119, 6, 1271, 7, 63, 16487, 1943, 648, 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 ]

[ 56103, 54922, 51445, 52251, 51445, 51673, 51445, 69766, 50981, 52926, 51445, 51784, 51445, 51993, 51445, 52656, 51445, 63352, 50995, 52264, 51445, 52629, 51243, 52541, 51445, 53456, 51445, 53542, 51445, 51947, 51445, 53994, 51237, 53994, 51313, 52324, 59579, 51097, 51769, 58187, 69766, 50995, 63352, 50915, 53994, 50896, 52324, 54214, 70946, 54498, 69766, 50915, 63352, 50915, 53994, 50896, 52324, 54214, 70946, 57105, 69766, 50915, 63352, 50915, 53994, 51090, 52324, 57825, 62211, 50995, 50799, 54922, 51518, 52251, 51518, 51673, 51518, 69766, 50981, 52926, 51422, 51784, 51692, 51993, 51692, 52656, 51692, 63352, 50915, 52264, 51692, 52629, 51692, 52541, 51486, 53456, 51518, 53542, 51692, 51947, 51422, 53994, 50824, 53994, 51692, 52324, 52299, 50981, 51769, 55973, 69766, 50915, 63352, 50981, 53994, 51090, 52324, 57825, 70946, 56656, 69766, 50915, 63352, 50915, 53994, 51090, 52324, 57825, 62211, 57105, 69766, 50981, 63352, 50981, 53994, 50896, 52324, 54214, 70946, 58667, 52656, 50833, 52377, 50833, 52377, 54421, 51979, 50812, 51866, 50812, 51866, 50812, 50799, 68644, 51145, 51978, 50849, 55297, 51145, 51702, 50849, 51702, 50805, 53994, 51145, 52324, 50937, 51206, 52115, 51978, 50859, 51702, 50800, 51702, 50859, 52324, 56522, 61544, 51978, 50800, 51702, 50800, 51702, 51620, 51978, 50805, 51702, 50805, 51702, 50805, 52324, 56522, 54100, 51978, 50808, 51702, 50808, 51702, 50800, 52324, 56522, 60234, 51978, 50800, 51702, 50800, 51702, 51724, 69766, 51145, 52656, 50893, 56381, 51145, 52377, 50893, 52377, 50893, 56542, 51145, 52324, 56522, 53969, 51978, 50812, 51702, 50812, 51702, 50812, 52324, 56522, 59956, 51978, 50800, 51702, 50808, 51702, 51757, 51978, 50805, 51702, 50805, 51702, 50795, 52324, 56522, 54771, 52656, 50859, 52377, 50859, 52377, 50859, 52324, 56522, 59097, 52436, 50858, 52178, 50858, 52178, 50858, 50799, 55008, 51127, 52380, 50879, 59378, 51127, 52194, 50879, 52194, 50879, 56380, 51127, 55515, 57837, 55099, 52380, 50859, 52194, 50859, 52194, 50859, 55515, 57837, 58861, 52380, 50808, 52194, 50808, 52194, 51620, 52380, 50795, 52194, 50795, 52194, 50795, 55515, 57837, 53387, 52656, 50854, 52377, 50854, 52377, 50812, 55515, 57837, 60234, 71229, 52178, 50800, 52178, 54773, 61331, 51183, 52380, 50893, 55329, 51183, 52194, 50893, 52194, 50893, 55145, 51183, 52820, 55325, 55103, 52436, 50833, 52178, 50833, 52178, 50812, 52820, 55325, 59956, 52436, 50808, 52178, 50808, 52178, 51757, 52436, 50795, 52178, 50805, 52178, 50795, 52820, 55325, 54771, 57436, 50874, 52251, 50874, 52251, 50874, 52933, 50827, 52933, 50874, 54061, 50874, 52264, 50827, 52264, 50827, 52541, 50874, 53542, 50874, 56380, 50851, 58002, 50851, 52820, 55325, 62533, 54515, 50874, 51565, 50874, 51565, 50822, 51950, 50827, 51950, 50874, 52372, 50822, 51579, 50874, 51579, 50822, 51946, 50822, 53266, 50822, 54552, 50827, 55938, 50827, 50799, 54157, 51148, 51606, 51080, 51606, 51148, 68644, 51183, 51802, 51244, 51802, 51244, 51993, 51244, 55297, 51183, 51509, 51244, 51509, 51148, 51996, 51244, 53456, 51080, 53994, 51244, 53994, 51183, 55936, 51244, 52324, 50977, 51769, 56763, 51978, 50833, 51702, 50854, 51702, 50833, 52324, 57837, 69596, 51978, 50808, 51702, 50812, 51702, 52450, 51978, 50795, 51702, 50795, 51702, 50795, 52324, 57837, 54100, 51978, 50808, 51702, 50808, 51702, 50800, 52324, 57837, 58952, 51978, 50859, 51702, 50808, 51702, 54773, 69766, 51047, 52656, 50893, 56381, 51047, 52377, 50893, 52377, 50893, 56542, 51047, 52324, 55325, 53999, 51978, 50812, 51702, 50812, 51702, 50808, 52324, 55325, 60785, 51978, 50808, 51702, 50808, 51702, 51757, 51978, 50795, 51702, 50795, 51702, 50795, 52324, 55325, 53586, 52656, 50821, 52377, 50859, 52377, 50821, 52324, 55325, 60977, 52436, 50858, 52178, 50858, 52178, 50821, 50799, 55008, 51103, 52380, 50879, 59378, 51103, 52194, 50879, 52194, 50893, 56380, 51103, 55515, 50937, 51769, 52115, 52380, 50800, 52194, 50800, 52194, 50800, 55515, 56522, 69596, 52380, 50808, 52194, 50808, 52194, 51620, 52380, 50795, 52194, 50805, 52194, 50795, 55515, 56522, 54100, 52656, 50833, 52377, 50833, 52377, 50812, 55515, 56522, 60282, 52436, 50859, 51866, 50808, 52178, 54773, 61331, 51047, 52380, 50893, 55329, 51047, 51866, 50918, 52194, 51356, 55145, 51047, 52820, 56522, 55103, 52820, 56522, 55125, 52820, 56522, 54771, 57436, 50907, 53320, 50907, 52251, 50907, 52926, 50907, 52933, 50907, 54061, 50907, 52656, 50907, 52264, 50907, 52264, 50912, 52541, 50851, 58002, 50907, 52820, 56522, 60977, 54515, 50851, 52182, 50851, 51565, 50851, 52278, 50851, 51950, 50851, 52372, 50851, 51979, 50851, 51579, 50912, 51579, 50851, 51946, 50912, 55938, 50851, 50799, 54157, 50972, 53124, 50972, 51606, 50972, 52714, 50972, 51802, 50972, 68644, 50943, 51993, 50972, 51978, 50972, 55297, 50943, 51509, 51079, 51509, 50972, 51996, 51079, 53456, 51333, 55936, 50972, 53994, 50943, 52324, 50866, 51206, 52115, 54157, 50827, 53124, 50827, 51606, 50827, 52714, 50827, 51802, 50827, 51993, 50827, 51978, 50827, 51509, 50827, 51509, 50827, 51996, 50851, 55936, 50827, 52324, 55325, 61544, 54157, 50851, 53124, 50851, 51606, 50851, 52714, 50851, 51802, 50851, 51993, 50851, 51978, 50851, 51509, 50851, 51509, 50851, 51996, 50851, 55936, 53220, 54157, 50972, 53124, 50972, 51606, 50972, 52714, 50972, 51802, 50972, 55008, 51003, 51993, 50972, 51978, 50972, 55297, 51003, 51509, 50972, 51509, 50972, 51996, 50838, 51947, 51097, 55936, 50972, 55184, 51003, 52324, 55325, 54100, 54157, 50827, 53124, 50827, 51606, 50827, 52714, 50827, 51802, 50827, 51993, 50827, 51978, 50827, 51509, 50851, 51509, 50827, 51996, 50851, 55936, 50827, 52324, 55325, 60234, 54157, 50827, 53124, 50827, 51606, 50827, 52714, 50827, 51802, 50827, 51993, 50827, 51978, 50827, 51509, 50851, 51509, 50827, 51996, 50827, 55936, 52788, 57436, 50905, 53320, 50905, 52251, 50905, 52926, 50905, 52933, 50905, 69766, 50915, 54061, 50905, 52656, 50905, 56381, 50915, 51509, 50972, 52264, 50905, 52541, 50974, 56760, 51330, 58002, 50905, 56542, 50915, 52324, 57837, 53969, 54157, 50912, 53124, 50912, 51606, 50912, 52714, 50912, 51802, 50912, 51993, 50912, 51978, 50912, 51509, 50912, 51509, 50912, 51996, 50912, 55936, 50912, 52324, 57837, 59956, 54157, 50851, 53124, 50851, 51606, 50851, 52714, 50851, 51802, 50851, 51993, 50851, 51978, 50851, 51509, 50851, 51509, 50827, 51996, 50827, 55936, 53567, 54157, 50838, 53124, 50838, 51606, 50838, 52714, 50838, 51802, 50838, 57382, 50914, 51993, 50838, 51978, 50838, 59441, 50914, 51509, 50838, 51509, 50838, 51996, 50972, 52701, 50995, 55936, 50838, 60177, 50914, 52324, 57837, 54771, 57436, 50827, 53320, 50827, 52251, 50827, 52926, 50827, 52933, 50827, 54061, 50827, 52656, 50827, 52264, 50827, 52264, 50874, 52541, 50874, 53542, 50874, 52377, 50874, 58002, 50827, 52324, 57837, 59097, 55111, 50874, 52315, 50874, 51827, 50874, 52186, 50874, 52624, 50874, 54761, 50874, 52436, 50874, 52336, 50874, 52336, 50874, 52032, 50827, 52339, 50827, 52178, 50827, 57778, 50874, 50799, 54922, 50838, 51752, 50838, 51673, 50838, 51784, 50838, 52857, 50838, 68644, 51003, 56056, 50838, 52380, 50838, 55297, 51003, 52629, 50838, 52629, 50974, 51836, 50974, 51947, 50974, 52194, 50974, 54461, 51108, 55520, 50838, 55145, 51003, 55515 ]

[ 0, 250, 182, 1769, 12, 20764, 8, 17627, 17274, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 5730, 2342, 4467, 6, 21072, 6, 8, 38668, 22052, 4, 20, 2125, 16, 278, 11, 5, 762, 9, 230, 10431, 3694, 8, 34, 10, 204, 73, 306, 86, 6543, 4, 13231, 5, 2214, 6, 5, 40286, 230, 10431, 119, 6, 83, 6, 8, 163, 32, 5705, 6636, 6, 2351, 10, 33558, 8, 2365, 12, 6928, 5466, 1969, 13, 5, 1619, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50639, 50799, 52093, 51544, 50828, 51570, 53035, 52093, 63649, 65762, 57955, 66756, 54018, 53098, 51017, 65762, 57955, 68814, 55410, 52823, 54261, 53962, 51017, 65762, 57955, 66756, 54018, 54485, 51017, 65762, 57955, 66756, 54018, 53421, 51017, 65762, 57955, 68814, 55410, 52539, 54261, 54719, 51017, 65762, 57955, 66756, 54018, 50928, 63649, 65762, 57955, 66756, 54018, 53098, 51017, 65762, 57955, 68814, 55410, 52823, 54261, 53962, 51017, 65762, 57955, 66756, 54018, 54485, 51017, 65762, 57955, 66756, 54018, 53421, 51017, 65762, 57955, 68814, 55410, 52539, 54261, 54719, 51017, 65762, 57955, 66756, 54018, 50928, 57126, 53700, 50877, 53700, 51028, 53700, 51213, 51091, 51017, 51003, 50944, 51267, 52582, 51449, 51701, 51243, 52736, 51449, 51236, 52703, 57532, 53432, 57056, 72681, 56063, 53896, 51017, 57482, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51125, 58672, 51213, 51291, 51125, 51267, 72681, 50944, 51400, 51236, 52703, 54425, 78694, 51017, 51255, 50438, 50913, 54715, 53239, 50850, 57482, 62361, 50977, 51236, 52703, 54425, 55038, 51017, 57482, 50977, 58752, 51270, 55410, 52532, 53332, 69254, 56086, 51125, 59960, 56574, 69320, 58752, 64177, 51236, 52703, 54425, 51129, 50457, 51017, 50977, 54206, 53700, 50989, 53700, 50877, 53700, 50927, 51091, 62224, 50944, 51267, 52016, 51243, 52582, 51449, 51701, 51449, 51236, 52703, 54715, 57056, 72681, 56063, 53896, 50848, 57482, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51007, 58672, 50927, 51291, 51007, 51267, 72681, 50944, 51400, 51236, 52703, 54425, 78694, 74223, 50438, 50913, 54715, 53239, 50850, 57482, 55711, 50977, 51236, 52703, 54425, 55038, 50848, 57482, 50977, 58752, 51270, 55410, 52532, 53332, 69254, 56086, 51007, 59960, 55564, 75734, 58752, 64177, 51236, 52703, 54425, 51129, 50457, 59082, 54852, 53265, 50916, 53700, 50973, 53700, 51019, 51091, 61560, 72681, 52091, 51449, 51701, 51637, 52252, 51449, 51236, 52703, 54390, 57056, 50935, 51267, 56063, 53896, 50868, 56219, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 62728, 51149, 58672, 50965, 55044, 51019, 51291, 51149, 51267, 50935, 51267, 50992, 51400, 52398, 52168, 51236, 52703, 54425, 78694, 77111, 50438, 50913, 54715, 53239, 50935, 59344, 55905, 50977, 51236, 52703, 54425, 55038, 50868, 59344, 50977, 62728, 51270, 55410, 52532, 53332, 69254, 56086, 51149, 59960, 56574, 51149, 50977, 62728, 50992, 50977, 51236, 52703, 54425, 51129, 50457, 64525, 57126, 53700, 50877, 53700, 51028, 53700, 51213, 51091, 51017, 51003, 50944, 51267, 52582, 51449, 51701, 51243, 52736, 51449, 51236, 52703, 54715, 57056, 72681, 56063, 53896, 51017, 57482, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51125, 58672, 51213, 51291, 51125, 51267, 72681, 50944, 51400, 51236, 52703, 54425, 78694, 51017, 51255, 50438, 50913, 54715, 53239, 50850, 57482, 62361, 50977, 51236, 52703, 54425, 55038, 51017, 57482, 50977, 58752, 51270, 55410, 52532, 53332, 69254, 56086, 51125, 59960, 56574, 69320, 58752, 64177, 51236, 52703, 54425, 51129, 50457, 51017, 50977, 54206, 53700, 50989, 53700, 50877, 53700, 50927, 51091, 62224, 50944, 51267, 52016, 51243, 52582, 51449, 51701, 51449, 51236, 52703, 54390, 57056, 72681, 56063, 53896, 50848, 57482, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51007, 58672, 50927, 51291, 51007, 51267, 72681, 50944, 51400, 51236, 52703, 54425, 78694, 74223, 50438, 50913, 54715, 53239, 50850, 57482, 55711, 50977, 51236, 52703, 54425, 55038, 50848, 57482, 50977, 58752, 51270, 55410, 52532, 53332, 69254, 56086, 51007, 59960, 55564, 75734, 58752, 64177, 51236, 52703, 54425, 51129, 50457, 59082, 54852, 53265, 50916, 53700, 50973, 53700, 51019, 51091, 61560, 72681, 52091, 51449, 51701, 51637, 52252, 51449, 51236, 52703, 54715, 57056, 50935, 51267, 56063, 53896, 50868, 56219, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 62728, 51149, 58672, 50965, 55044, 51019, 51291, 51149, 51267, 50935, 51267, 50992, 51400, 52398, 52168, 51236, 52703, 54425, 78694, 77111, 50438, 50913, 54715, 53239, 50935, 59344, 55905, 50977, 51236, 52703, 54425, 55038, 50868, 59344, 50977, 62728, 51270, 55410, 52532, 53332, 69254, 56086, 51149, 59960, 56574, 51149, 50977, 62728, 50992, 50977, 51236, 52703, 54425, 51129, 50457, 64525, 54852, 53700, 51028, 53700, 51011, 51091, 51017, 51003, 50868, 51267, 51701, 51243, 52736, 51449, 51236, 52703, 54390, 57056, 50916, 53700, 72681, 52091, 51449, 56063, 53896, 51017, 55905, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51125, 58672, 51011, 51291, 51125, 51267, 72681, 50868, 51400, 51236, 52703, 54425, 78694, 51017, 51255, 50438, 50913, 54715, 53239, 50850, 55905, 62361, 50977, 51236, 52703, 54425, 55038, 51017, 55905, 50977, 58752, 51270, 55410, 52532, 53332, 69254, 56086, 51125, 59960, 56574, 69320, 58752, 64525, 51236, 52703, 54425, 51129, 50457, 51017, 50977, 54578, 53700, 50965, 53700, 51028, 53700, 51228, 51091, 51017, 51003, 78762, 51821, 51449, 52398, 51449, 52736, 51449, 51236, 52703, 54715, 57056, 50992, 51267, 56063, 53896, 51017, 56204, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 50992, 50977, 51125, 58672, 51228, 51291, 51125, 51267, 50992, 51267, 50872, 51400, 51236, 52703, 54425, 78694, 51017, 51255, 50438, 50913, 54715, 53239, 50992, 56204, 62361, 50977, 51236, 52703, 54425, 55038, 51017, 56204, 50977, 50992, 50977, 51270, 55410, 52532, 53332, 69254, 56086, 51125, 59960, 51228, 63468, 50977, 50992, 50977, 59458, 51236, 52703, 54425, 51129, 50457, 51017, 50977, 57126, 53700, 50877, 53700, 51028, 53700, 51213, 51091, 51017, 51003, 50944, 51267, 52582, 51449, 51701, 51243, 52736, 51449, 51236, 52703, 54390, 57056, 72681, 50420, 55667, 77048, 53896, 51017, 57482, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51125, 58672, 51213, 51291, 51125, 51267, 72681, 50944, 51400, 55667, 50923, 51236, 52703, 54425, 78694, 51017, 51255, 50438, 50913, 54715, 53239, 50850, 57482, 62361, 50977, 55667, 50923, 51236, 52703, 54425, 55038, 51017, 57482, 50977, 58752, 55667, 50923, 51270, 55410, 52532, 53332, 69254, 56086, 51125, 59960, 56574, 69320, 58752, 64177, 53200, 51354, 51236, 52703, 54425, 51129, 50457, 51017, 50977, 54206, 53700, 50989, 53700, 50877, 53700, 50927, 51091, 62224, 50944, 51267, 52016, 51243, 52582, 51449, 51701, 51449, 51236, 52703, 54715, 57056, 72681, 50420, 53200, 77048, 53896, 50848, 57482, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 58752, 51007, 58672, 50927, 51291, 51007, 51267, 72681, 50944, 51400, 53200, 50923, 51236, 52703, 54425, 78694, 74223, 50438, 50913, 54715, 53239, 50850, 57482, 55711, 50977, 53200, 50923, 51236, 52703, 54425, 55038, 50848, 57482, 50977, 58752, 55667, 50923, 51270, 55410, 52532, 53332, 69254, 56086, 51007, 59960, 55564, 75734, 58752, 64177, 55857, 51054, 51236, 52703, 54425, 51129, 50457, 59082, 54852, 53265, 50916, 53700, 50973, 53700, 51019, 51091, 61560, 72681, 52091, 51449, 51701, 51637, 52252, 51449, 51236, 52703, 54390, 57056, 50935, 51267, 56063, 53896, 50868, 56219, 50901, 51270, 55410, 52703, 53332, 69254, 56171, 62728, 51149, 58672, 50965, 55044, 51019, 51291, 51149, 51267, 50935, 51267, 50992, 51400, 55857, 50923, 52398, 52168, 51236, 52703, 54425, 78694, 77111, 50438, 55857, 77048, 54715, 53239 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21072, 6, 1076, 560, 31365, 25999, 6, 8, 38668, 22052, 4, 8504, 11, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 163, 119, 406, 6, 83, 73, 347, 10431, 6, 211, 6, 83, 6, 8, 211, 3639, 7, 63, 19448, 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 ]

[ 57739, 50417, 50770, 50325, 53174, 50451, 52886, 52024, 50452, 64298, 52024, 50453, 52016, 56300, 52582, 54153, 51701, 54834, 67779, 57098, 51198, 51014, 51494, 50823, 50927, 59939, 50460, 51198, 50904, 51494, 50836, 51601, 50630, 50418, 51198, 50855, 51494, 68212, 51198, 51483, 51494, 50975, 50436, 51232, 50962, 51099, 73366, 51494, 50882, 51119, 50882, 50448, 51099, 51286, 51429, 51483, 50460, 51494, 51354, 51119, 51388, 60212, 51232, 50923, 51099, 78422, 51198, 50894, 51494, 51045, 50442, 66777, 50448, 51280, 51500, 51232, 51454, 51205, 78765, 51083, 52140, 51118, 51677, 52626, 51717, 50452, 51089, 51933, 59151, 51717, 50453, 52233, 53520, 52091, 56300, 51678, 56300, 67779, 57098, 50964, 53002, 50460, 51280, 50829, 51232, 50829, 52478, 51280, 50809, 51232, 67596, 51280, 51021, 51232, 51505, 50436, 51198, 50882, 51494, 50950, 50442, 51232, 50894, 51099, 51045, 50448, 51494, 51354, 51119, 51483, 50460, 51232, 51354, 51099, 51379, 60212, 51198, 51286, 51494, 51505, 50426, 50770, 50323, 51407, 50436, 51280, 50893, 51232, 51173, 53615, 73431, 52190, 64223, 52040, 51354, 51198, 51653, 53499, 52121, 50449, 61052, 52121, 50453, 54549, 54153, 52016, 54153, 51678, 53520, 67779, 50825, 51633, 51603, 50454, 51443, 51732, 50460, 52040, 50835, 76348, 52177, 51633, 51014, 50418, 52040, 50840, 51198, 54007, 51633, 51735, 50424, 52040, 50923, 51198, 75993, 52113, 51138, 50436, 51847, 50962, 51232, 68491, 53179, 51033, 50442, 51198, 51033, 51494, 59981, 52372, 51237, 50448, 51232, 51354, 51099, 51483, 50459, 53179, 51054, 50460, 51198, 51379, 51494, 51483, 57731, 52113, 51237, 50424, 51847, 51235, 51232, 69464, 51633, 51226, 50436, 52040, 51388, 51198, 51483, 50447, 52226, 51735, 50448, 51708, 51427, 51847, 51460, 50451, 52430, 52122, 50452, 55815, 52122, 50453, 53496, 53295, 52091, 55428, 51701, 55277, 67779, 57098, 51069, 54217, 50459, 52226, 77741, 51708, 50886, 51847, 50862, 52177, 52226, 51033, 50418, 51708, 50808, 51847, 55884, 52226, 51735, 50424, 51708, 50858, 51847, 51014, 50435, 51633, 51566, 50436, 52040, 51388, 51198, 51483, 50447, 52113, 51735, 50448, 51847, 51175, 51232, 51354, 50459, 53179, 51454, 50460, 51198, 50893, 51494, 51286, 57731, 52372, 51016, 50424, 52040, 51021, 51198, 51021, 51099, 63385, 53128, 51735, 50436, 51847, 51661, 51232, 51300, 51119, 51285, 52190, 54735, 51113, 50844, 51284, 50844, 50442, 52190, 79470, 52267, 51357, 50810, 51558, 50810, 52372, 55686, 51488, 50810, 51905, 62924, 51019, 53938, 51266, 50827, 51733, 62970, 52430, 52122, 50452, 55815, 52122, 50453, 55500, 53413, 53496, 55482, 52091, 55277, 51284, 52204, 52487, 52204, 67779, 57098, 51011, 51492, 50459, 51667, 51030, 52226, 51138, 50460, 51708, 50948, 51847, 50948, 52177, 51667, 50940, 52226, 51014, 50418, 51708, 50910, 51847, 68018, 51667, 51290, 52226, 51566, 50424, 51708, 50948, 51847, 73073, 52135, 51055, 51633, 51454, 50436, 52040, 51388, 51198, 51505, 50447, 52226, 51566, 52113, 51735, 50448, 51847, 50806, 51232, 51505, 50453, 51701, 54829, 50459, 51633, 51566, 53179, 51735, 50460, 51198, 51173, 51494, 51379, 57731, 52113, 50896, 52372, 51054, 50424, 51232, 51014, 51099, 57907, 53179, 50855, 52372, 51472, 54761, 50840, 56746, 52195, 50436, 51198, 51016, 51099, 51090, 51429, 51016, 53615, 67760, 52190, 51010, 50448, 53615, 56883, 52016, 52122, 52582, 52250, 51701, 52096, 50946, 50805, 53179, 51151, 53128, 51353, 50454, 51198, 51939, 51494, 51422, 51119, 51662, 50927, 56082, 50459, 50848, 50901, 50460, 51217, 50893, 52177, 50868, 50845, 50418, 51506, 53471, 50944, 51013, 50424, 50946, 71700, 50868, 50896, 50436, 51217, 50879, 50442, 51506, 59414, 50946, 51013, 50448, 50848, 76679, 50848, 50873, 50460, 51217, 50849, 52177, 50868, 50805, 50418, 51506, 63867, 50944, 51157, 50424, 71209, 50430, 51011, 51016, 50435, 50868, 51157, 50436, 51217, 50911, 50442, 51069, 51016, 51506, 53658, 50946, 50807, 50448, 59769, 50453, 55500, 55428, 52016, 55482, 52582, 53295, 50454, 50927, 54300, 50459, 50848, 50873, 50460, 51217, 50795, 52177, 67593, 50418, 51506, 57572, 50944, 50889, 50424, 50946, 51016, 50435, 50868, 50807, 50436, 51217, 50879, 50442, 51506, 53658, 50946, 50807, 50448, 59769, 50459, 50848, 50873, 50460, 51217, 50911, 52177, 72803, 50418, 51506, 53471, 50944, 50889, 50424, 50946, 51016, 50435, 60104, 50436, 51019, 51554, 50296, 50849, 50442, 51213, 51834, 50298, 65586, 50848, 50873, 50448, 50927, 57046, 60976, 54549, 51397, 52016, 51448, 51678, 51413, 50847, 50873, 50454, 50953, 52311, 50459, 68690, 52177, 50848, 50838, 51083, 64736, 77830, 51020, 58746, 52233, 50917, 52091, 50805, 51678, 54180, 51328, 50868, 51178, 69384, 51089, 51073, 51118, 51013, 50442, 51232, 50924, 51099, 50940, 51153, 51021, 50964, 51932, 50453, 55500, 50820, 54549, 52069, 52016, 51714, 51678, 51945, 50847, 51419, 50848, 51452, 51042, 51518, 51083, 51790, 51595, 51742, 50454, 51198, 52392, 51099, 52536, 51429, 52500, 51443, 52369, 52177, 50935, 61544, 70794, 50427, 53779, 54986, 50847, 61772, 78547, 50448, 51011, 60976, 52016, 51244, 52582, 51742, 51701, 51675, 50944, 50849, 50454, 50927, 52827, 50459, 50946, 50873, 51282, 50940, 52177, 72803, 51083, 56299, 50944, 51218, 51268, 59779, 54549, 51100, 52016, 51177, 51678, 51100, 51042, 51124, 50847, 51377, 72755, 75829, 51595, 50849, 50442, 51198, 50808, 78891, 51429, 50887, 69871, 50453, 55500, 52071, 52016, 52431, 52582, 51662, 50944, 51417, 50946, 51677, 51282, 51148, 51083, 51145, 51268, 51742, 50454, 51198, 51790, 51494, 51623, 51119, 51896, 50927, 52266, 57731, 60104, 50435, 50944, 51115, 50448, 51019, 51798, 52091, 51714, 51701, 53142, 50453, 53496, 52151, 50946, 50873, 50454, 51011, 54454, 50459, 51042, 50873, 51023, 51128, 52177, 73770, 51385, 55155, 50850, 51013, 50435, 51042, 60132, 51017, 50901, 51185, 50910, 51208, 50978, 50447, 50850, 63433, 53496, 55086, 52091, 53588, 52736, 53142, 51023, 51675, 51385, 51358, 50459, 51042, 50892, 52177, 51017, 75827, 62781, 50424, 51415, 51138, 50430, 70701, 53779, 50983, 69983, 61023, 51042, 50849, 50436, 69983, 59846, 51017, 50873, 50442, 51069, 51932, 69983, 54847, 50850, 50892, 50448, 69983, 56782, 52016, 52121, 52582, 52122, 51701, 52250, 50944, 57468, 52885, 50820, 51944, 53380, 51440, 54454, 51669, 53753, 50454, 62644, 50726, 50342, 59022, 50946, 50879, 51983, 50460, 51282, 50813, 50726, 50342, 50855, 52177, 57724, 51762, 50418, 51083, 50930, 50726, 50342, 56037, 50944, 50889, 52553, 78572, 50927, 50870, 51089, 51072, 50726, 50342, 56789, 55389, 59971, 50927, 51745, 50726, 50342, 55643, 79493, 59526, 50436, 51083, 50846, 50726, 50342, 65246, 53642, 60547, 51282, 50867, 50726, 50342, 70853, 50946, 59348, 51004, 50448, 51023, 51551, 50453, 51320, 60053, 50927, 51241, 50459, 50848, 56522, 51004, 52177, 50868, 50901, 68436, 67766, 52553, 78572, 51213, 58288, 55389, 59971, 51011, 51054, 69983, 61023, 50868, 54881, 78573, 69983, 57108, 53642, 58655, 51069, 51603, 69983, 54492, 50946, 55859, 51004, 50448, 69983, 58207, 55500, 55068, 52016, 55408, 52582, 55068, 51320, 50846, 51944, 56082, 51440, 58690, 51669, 57508, 50454, 50927, 51237, 50726, 50342, 53793, 50848, 54068, 77054, 51282, 50836, 50726, 50342, 50813, 52177, 64525, 51762, 50418, 51083, 50961, 50726, 50342, 57559, 67766 ]

[ 0, 250, 19448, 5175, 25771, 2214, 4246, 10, 13305, 6, 21072, 6, 5730, 2342, 4467, 6, 38668, 3038, 6, 8, 18558, 6, 2351, 10, 15352, 30054, 8, 5679, 26709, 5466, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 10, 7212, 20889, 9, 13156, 13410, 228, 2289, 6, 19, 10, 33215, 13931, 9, 274, 6, 12608, 6, 274, 6, 272, 119, 6, 8, 1918, 406, 428, 245, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 53028, 52946, 51544, 51862, 51570, 50984, 52320, 50912, 50799, 53511, 54373, 54638, 54373, 55931, 54373, 64679, 54373, 67932, 54373, 66681, 54373, 50796, 50796, 60139, 50972, 56089, 60140, 50928, 52399, 58362, 52587, 54923, 56128, 51306, 51544, 60140, 54075, 50843, 58806, 63795, 52588, 68825, 54083, 61573, 52787, 52691, 54186, 51589, 60238, 57972, 58189, 53783, 50843, 55335, 63640, 52588, 51123, 50449, 54083, 56881, 52787, 57261, 51187, 79949, 54186, 50907, 50452, 58189, 55162, 53149, 59810, 53816, 59506, 52588, 51832, 50461, 54083, 51832, 60139, 51328, 52787, 50363, 50966, 51464, 60140, 51004, 50415, 54186, 51550, 50416, 58189, 51550, 52399, 58362, 52587, 50862, 52588, 50359, 50966, 56128, 72375, 54083, 52794, 50426, 52787, 52794, 50791, 60140, 78342, 54186, 52462, 50428, 58189, 52462, 58932, 58806, 51258, 51570, 60238, 53114, 50843, 55335, 51129, 51955, 51187, 54719, 55252, 57564, 53816, 50982, 79333, 51101, 56089, 60140, 54605, 54083, 51004, 52787, 62652, 58362, 55090, 55234, 56128, 54953, 54083, 51319, 52787, 55181, 60140, 53962, 52588, 50907, 54083, 60983, 58806, 55379, 52588, 50984, 54083, 51524, 50791, 60238, 52875, 54705, 51252, 52588, 64930, 55335, 55038, 54705, 51550, 52588, 51365, 57653, 54719, 55090, 62977, 53816, 50982, 52308, 50275, 55732, 51464, 60140, 57311, 52631, 50907, 53368, 50368, 51163, 58362, 55252, 53303, 56128, 57395, 52631, 50827, 53368, 67700, 60140, 53670, 53350, 51123, 52631, 50368, 51163, 58806, 54203, 53350, 51297, 52631, 53600, 60238, 53114, 53350, 51862, 50843, 55335, 55038, 53812, 52946, 53350, 51210, 57653, 54719, 53149, 62977, 53816, 50982, 60139, 51212, 65852, 52829, 56089, 60140, 50928, 52399, 58362, 52587, 54438, 56128, 51306, 51544, 60140, 54075, 50843, 58806, 63795, 52588, 68825, 54083, 61573, 52787, 52691, 54186, 50822, 61571, 69103, 70126, 69103, 60531, 69103, 50791, 60238, 57972, 58189, 53783, 50843, 55335, 63640, 52588, 51123, 50449, 54083, 56881, 52787, 57261, 51187, 79949, 54186, 50907, 50452, 58189, 55162, 53149, 73783, 53816, 59506, 52588, 51832, 50461, 54083, 51832, 60139, 51242, 52787, 50363, 50966, 51464, 60140, 51004, 50415, 54186, 51550, 50416, 58189, 51550, 52399, 58362, 52587, 50886, 52588, 50359, 50966, 56128, 72375, 54083, 52794, 50426, 52787, 52794, 50791, 60140, 78342, 54186, 52462, 50428, 58189, 52462, 50432, 59776, 53024, 50843, 58806, 57481, 66296, 55002, 50791, 60238, 53114, 50843, 55335, 51129, 51955, 51187, 54719, 55252, 50974, 66759, 53010, 50798, 53816, 50982, 79333, 51481, 50702, 50285, 51445, 59776, 57232, 50744, 50300, 63309, 61571, 55275, 75231, 63309, 60531, 55275, 56089, 60140, 54605, 52787, 51128, 55231, 58043, 58362, 55090, 53970, 56128, 54953, 52787, 50912, 55231, 54447, 60140, 53962, 54083, 51297, 52787, 62759, 58806, 55379, 54083, 51252, 52787, 52179, 50791, 60238, 52875, 52588, 51126, 54083, 66203, 55335, 55038, 52588, 51524, 54083, 50365, 51610, 51187, 54719, 55090, 51006, 60609, 52167, 50798, 53816, 59506, 75314, 52167, 52308, 50275, 50873, 50702, 50287, 51592, 57391, 55490, 50744, 50302, 63309, 70126, 55275, 60507, 55275, 56089, 60140, 57311, 52631, 51128, 53368, 64698, 58362, 55252, 53630, 56128, 57395, 52631, 50907, 53368, 54447, 60140, 53670, 52631, 60349, 58806, 54203, 53350, 51123, 52631, 59029, 60238, 54905, 52060, 54485, 53350, 60983, 55335, 63640, 52060, 54044, 53812, 51550, 53350, 50365, 51610, 51187, 50366, 52388, 53556, 55252, 50925, 54619, 54438, 63202, 55630, 50982, 60139, 50972, 56648, 52727, 54511, 52727, 55575, 54373, 53370, 54373, 54619, 54035, 51464, 60140, 54183, 54942, 57821, 58362, 52587, 50874, 53664, 51797, 50798, 56128, 51306, 51544, 60140, 54075, 53200, 53588, 50843, 58806, 50908, 51570, 60238, 52875, 50843, 55335, 51129, 51955, 51187, 54719, 53149, 59810, 53816, 50982, 60139, 51328, 54884, 52727, 56089, 60140, 51004, 52399, 58362, 52587, 53630, 56128, 51129, 51544, 60140, 53962, 53664, 64698, 58806, 57481, 54324, 62806, 60238, 53114, 50843, 55335, 63640, 52756, 51775, 51955, 51187, 54719, 55252, 50937, 52817, 77493, 53816, 50982, 79333, 51101, 65574, 55490, 54884, 52727, 55575, 52727, 53370, 52727, 52756, 51775, 56089, 60140, 50982, 52399, 58362, 55090, 50886, 53664, 77477, 56128, 51129, 51544, 60140, 53962, 53664, 52212, 50843, 58806, 51129, 51570, 60238, 52875, 50843, 55335, 51129, 51955, 51187, 54719, 55090, 51058, 53200, 74812, 53816, 50982, 52308, 50275, 50873, 56648, 55490, 54511, 52727, 53733, 52727, 54324, 51109, 56089, 60140, 51129, 52399, 58362, 55252, 50855, 53200, 51254, 50798, 56128, 51258, 51544, 60140, 53670, 53200, 51314, 50843, 58806, 51004, 51570, 60238, 53114, 50843, 55335, 51129, 51955, 51187, 54719, 53149, 51058, 54619, 56935, 53816, 50982, 60139, 51212, 56648, 54373, 54511, 52727, 55575, 54373, 53370, 54373, 54619, 50987, 56089, 60140, 54183, 54942, 51524, 50843, 58362, 52587, 50864, 53664, 52378, 50798, 56128, 51306, 51544, 60140, 54075, 53200, 52528, 50843, 58806, 50908, 51570, 60238, 52875, 50843, 55335, 51129, 51955, 51187, 54719, 53149, 73783, 53816, 50982, 60139, 51242, 54884, 52727, 56089, 60140, 51004, 52399, 58362, 52587, 55234, 56128, 51129, 51544, 60140, 53962, 53664, 58557, 58806, 57481, 54324, 60596, 60238, 53114, 50843, 55335, 63640, 52756, 51480, 51955, 51187, 54719, 55252, 50974, 52817, 72494, 53816, 50982, 79333, 51481, 65574, 52727, 54884, 52727, 52756, 50932, 56089, 60140, 50982, 52399, 58362, 55090, 53970, 56128, 54953, 53664, 55181, 60140, 53962, 53664, 51448, 50843, 58806, 51129, 51570, 60238, 52875, 50843, 55335, 51129, 51955, 51187, 54719, 55090, 51006, 53200, 57685, 53816, 50982, 52308, 50275, 50873, 56648, 55490, 54511, 55490, 53733, 55490, 54324, 51233, 56089, 60140, 51129, 52399, 58362, 55252, 50862, 53200, 54035, 56128, 51258, 51544, 60140, 53670, 53200, 69163, 58806, 54203, 53200, 51679, 50791, 60238, 54905, 52060, 50928, 54032, 55335, 63640, 52060, 51004, 51955, 51187, 50366, 52388, 53556, 55252, 50925, 52817, 50866, 52679, 50839, 52623, 51008, 51555, 62285, 63202, 55630, 50982, 52308, 50276, 50873, 54884, 54532, 55575, 57598, 55321, 53849, 54467, 50925, 52679, 50838, 52623, 51242, 51986, 51277, 56089, 60140, 54183, 54467, 55716, 58362, 54679, 50810, 54467, 51576, 52679, 51058, 52623, 51058, 51986, 60386, 56128, 51306, 51544, 60140, 54075, 53918, 51878, 52623, 51448, 51986, 51283, 51567, 51448, 50843, 58806, 52958, 53511, 51449, 50791, 60238, 52875, 50843, 55335, 51129, 51382, 51464, 54719, 55252, 51006, 53918, 50974, 52623, 50866, 51986, 50959, 51567, 62977, 53816, 50982, 52308, 50276, 51121, 57797, 51100, 51986, 51363, 51567, 51423, 52184, 50905, 56089, 60140, 51004, 52399, 58362, 54679, 50855, 54263, 51008, 51783, 51645, 51722, 51534, 51612, 65542, 56128, 51129, 51544, 60140, 53962, 53918, 51008, 52623, 50873, 69218, 51567, 57729, 58806, 57481, 57797, 50849, 51986, 51255, 51567, 50822, 52184, 51277, 50791, 60238, 53114, 50843, 55335, 63640, 54263, 51174, 51783, 51058, 51722, 51534, 51612, 51006, 51382, 51464, 54719, 53149, 51058, 53918, 51797, 52623, 50974, 51986, 51079, 51567, 53656, 53816, 50982, 60139, 51100, 55575, 58962, 53370, 56235, 53511, 58643, 54263, 51097, 51783, 51101, 51555, 51191, 51612, 51400, 56089, 60140, 50982, 52399, 58362, 52587, 52784, 56128 ]

[ 0, 250, 765, 5175, 2214, 19, 25771, 4785, 6, 4246, 10, 13305, 6, 228, 438, 4781, 2088, 6757, 6, 36075, 8669, 6, 21072, 6, 8, 31391, 1672, 9590, 6, 2351, 10, 19448, 8, 15352, 30054, 5466, 19, 10, 11602, 9, 980, 219, 6, 3366, 219, 6, 8, 5679, 26709, 23338, 293, 6, 278, 11, 10, 1769, 20889, 9, 17072, 163, 5683, 8, 204, 73, 306, 86, 6543, 11, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 16739, 9, 272, 6, 3676, 406, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 51774, 53601, 51515, 53601, 51434, 53073, 51607, 53002, 69531, 50887, 58154, 51469, 50700, 50273, 51469, 58128, 51582, 53597, 50586, 51036, 50920, 50957, 50612, 55138, 69531, 50836, 55199, 52938, 54964, 55873, 51373, 79574, 52079, 54104, 69531, 50836, 55199, 50862, 52352, 51369, 54818, 69531, 50887, 53807, 50897, 64968, 56338, 56549, 50887, 55199, 51589, 78310, 54334, 55873, 51373, 54419, 57039, 69531, 50800, 55199, 50844, 51287, 51369, 59266, 58128, 51049, 55718, 56358, 55199, 59661, 71633, 54815, 55873, 50822, 74326, 55686, 55199, 50854, 52029, 50792, 50608, 52800, 53807, 50897, 51718, 51035, 50381, 53047, 58215, 55199, 53330, 53176, 55873, 50844, 51927, 51035, 61736, 55199, 53199, 50827, 50799, 50658, 50275, 50809, 54311, 52017, 50700, 50275, 52017, 58128, 50942, 51718, 51035, 50381, 52752, 60851, 50658, 50275, 50840, 55199, 51559, 54964, 55873, 51373, 79574, 53836, 53991, 50658, 50275, 50867, 55199, 51559, 79574, 52329, 50658, 50275, 50887, 53807, 50925, 64968, 56865, 60565, 50840, 55199, 50844, 52352, 51826, 54334, 55873, 50844, 51895, 51035, 59716, 50658, 50275, 50890, 55199, 50813, 51287, 51369, 56341, 58128, 50833, 64968, 62079, 55199, 50854, 51248, 71633, 53885, 55873, 50844, 74326, 51000, 52869, 74955, 54271, 57904, 55199, 50833, 52029, 50792, 50608, 60168, 55388, 53140, 53807, 50897, 51718, 51035, 52476, 50606, 50930, 65887, 51518, 50453, 55199, 53065, 53176, 55873, 50844, 51927, 51035, 58182, 55199, 53199, 50827, 50799, 50658, 50277, 50887, 51844, 51469, 50700, 50277, 51469, 58128, 50910, 51718, 51035, 52476, 50612, 58160, 50658, 50277, 50840, 55199, 53330, 54964, 55873, 51373, 79574, 54857, 56295, 50658, 50277, 50890, 55199, 50854, 52352, 51369, 53939, 50658, 50277, 50867, 53807, 50897, 64968, 53847, 56024, 50890, 55199, 51373, 78310, 54053, 55873, 51373, 54419, 58662, 63648, 54378, 50658, 50277, 50890, 55199, 50810, 51287, 51369, 50962, 50436, 61201, 52729, 58128, 50830, 64968, 63038, 54271, 51127, 50441, 55199, 50833, 51248, 71633, 54989, 55873, 50854, 74326, 57291, 55199, 51373, 55095, 50608, 52800, 53807, 50942, 51718, 51035, 78830, 58215, 51669, 50844, 53136, 53199, 53176, 52257, 50844, 53807, 55475, 57831, 59934, 52807, 50833, 54030, 53632, 60634, 50798, 50887, 51057, 50656, 50279, 50930, 58748, 50880, 51669, 50961, 52257, 50884, 54797, 50883, 51857, 50930, 58128, 50800, 56660, 55531, 74438, 55261, 57780, 50656, 50279, 50887, 58748, 50809, 51669, 50809, 52257, 50818, 54797, 50890, 51857, 50887, 56660, 55960, 61134, 55261, 56037, 72840, 50961, 55677, 50962, 51607, 50883, 52327, 50884, 52807, 50884, 53876, 50890, 51533, 50961, 55199, 54451, 50387, 53823, 50962, 54271, 58594, 55261, 61218, 58933, 50883, 53369, 50930, 51669, 50961, 52257, 50884, 54797, 50890, 51132, 50883, 56660, 50386, 53823, 51010, 50436, 57848, 52379, 52769, 52379, 51607, 52017, 52327, 52017, 52807, 52208, 51137, 52379, 50816, 50962, 53428, 51945, 50437, 51335, 52379, 50798, 50962, 50799, 52566, 50857, 55199, 75245, 52650, 50857, 53807, 68349, 53118, 50886, 53775, 55650, 53715, 50857, 53091, 62488, 53118, 50867, 53775, 63366, 52650, 50813, 53807, 53272, 52566, 50862, 55199, 63444, 52650, 50813, 53807, 60394, 53118, 50855, 53775, 53860, 53715, 50813, 53091, 59816, 53118, 50809, 53775, 58853, 52650, 50809, 53807, 52781, 52566, 50890, 55199, 70686, 53000, 50809, 57655, 60672, 53039, 50890, 58128, 54840, 53647, 50880, 63132, 62813, 55372, 50890, 50739, 50345, 64457, 57545, 50930, 50739, 50347, 53886, 59886, 51054, 50739, 50352, 50889, 50454, 61978, 50857, 61166, 50827, 58447, 58325, 58634, 62091, 59796, 50809, 58826, 56637, 60151, 50890, 58425, 53902, 56434, 50884, 56110, 57319, 55907, 50828, 54652, 50818, 53822, 57962, 55348, 50828, 53165, 50834, 52901, 50800, 52364, 50825, 50799, 50656, 50280, 52500, 54437, 53435, 51607, 50821, 52257, 52282, 51338, 51030, 60828, 51941, 50801, 51575, 74410, 52079, 54745, 51669, 53417, 50907, 51039, 58923, 54104, 51607, 50806, 51338, 57888, 53340, 50984, 51694, 50911, 64968, 56338, 51434, 51582, 55238, 51607, 50893, 51338, 50930, 51895, 51035, 58011, 51427, 51556, 52788, 51434, 51192, 64968, 50812, 51572, 54478, 51607, 50897, 54311, 52218, 51100, 74326, 55686, 51669, 50840, 51844, 52304, 65673, 63688, 52610, 51607, 50924, 52257, 51167, 51338, 65678, 50923, 51718, 51035, 50840, 51647, 68926, 60828, 51923, 51669, 50942, 54311, 58630, 50840, 51927, 51035, 61736, 51607, 52217, 61243, 67658, 50855, 50799, 56090, 51696, 51607, 50858, 52257, 51685, 50656, 50277, 53241, 51844, 50923, 71080, 68138, 51575, 56169, 54745, 51669, 50865, 53673, 51039, 58923, 56856, 67658, 51235, 50423, 51607, 50795, 51844, 55461, 53340, 50984, 51694, 50911, 64968, 56338, 51434, 52217, 50984, 50431, 60828, 51196, 50432, 51607, 50865, 51844, 50962, 51895, 51035, 58011, 51427, 51556, 52788, 51434, 51060, 64968, 50812, 51572, 54478, 51607, 56525, 51100, 50852, 54714, 55686, 51669, 52873, 54385, 51607, 50948, 52257, 51175, 50816, 50923, 51718, 51035, 50840, 51647, 68926, 58401, 52931, 51669, 50897, 51844, 51021, 52006, 51225, 57831, 61736, 51607, 52217, 50827, 50799, 50656, 50278, 52536, 57117, 52500, 51607, 50940, 52327, 51141, 51727, 51388, 60768, 68138, 51575, 56169, 54745, 51669, 50952, 53673, 51039, 58923, 56856, 58401, 51235, 50423, 51773, 50977, 51607, 50839, 51727, 54452, 53340, 50984, 51694, 50911, 64968, 56338, 51515, 53330, 50984, 50431, 57587, 57345, 51773, 50911, 51727, 50962, 51895, 51035, 58011, 51427, 51556, 52788, 51515, 51173, 64968, 50812, 51572, 54478, 51773, 50910, 58154, 52423, 51100, 74326, 55686, 51607, 50809, 54311, 52675, 65673, 57120, 58647, 52327, 51175, 51773, 50952, 51727, 62851, 50923, 51718, 51035, 50840, 51647, 53176, 51607, 50942, 58154, 50887, 63019, 53933, 50840, 51927, 51035, 51000, 50457, 58085, 51036, 50459, 51773, 51187, 50827, 50799, 50656, 50275, 53241, 57848, 52500, 51773, 50882, 52327, 51541, 54311, 56795, 51575, 56169, 54745, 51607, 50865, 53673, 51039, 58923, 54104, 51434, 50921, 54311, 54441, 53340, 50984, 51694, 50911, 64968, 56338, 51607, 51420, 55238, 51434, 50858, 54311, 51864, 54419, 58011, 51427, 51556, 52788, 51434, 50938, 64968, 56358, 51248, 50792, 50602, 52210, 51607, 50910, 54311, 54273, 51100, 50852, 54714, 55686, 51669, 51421, 55095, 50602, 57868, 51634, 58175, 52257, 51021, 51137, 53757, 50923, 51718, 51035, 50381, 50793, 50603, 50991, 50452, 52341, 58305, 51669, 55690, 65415, 52375, 54583, 51607, 50897, 54311, 50921, 52006, 51225, 57831, 51000, 50457, 53687, 56569, 51434, 50809, 53549, 51582, 61243, 57628, 51605, 50799, 50656, 50280, 52536, 54437, 53435, 51607, 51033, 52257, 51541, 51338, 62535, 51575, 56169, 54745, 51669, 50948, 53673, 51039, 58923, 54104, 51607, 50809, 51434, 50809, 51338, 54441, 53340, 50984, 51694, 50911, 64968, 56338, 51607, 51049, 55238, 51434, 50821, 51338, 51864, 54419, 58011, 51427, 51556, 52788, 51434, 50952, 64968, 50812, 51572, 54478, 51607, 50830, 54311, 52218, 51100, 74326, 55686, 51669, 50809, 51844, 51421, 54385, 51607, 50830, 52257, 51379, 51338, 57725, 50923, 51718, 51035, 50840, 51647, 53176, 51669, 50844, 57714, 50921, 54311, 53841, 50840, 51927, 51035, 61736, 51607, 50855, 55652, 55110, 50827, 50799, 50656, 50277, 52500, 56090, 51469, 51607, 50940 ]

[ 0, 250, 33558, 5175, 8, 3495, 1619, 2214, 19, 10, 7212, 20889, 6, 4246, 21072, 6, 2342, 4467, 6, 6755, 12547, 6, 8, 18558, 4, 20, 33301, 16, 1490, 198, 5, 40286, 83, 6, 163, 6, 8, 381, 6, 2351, 10, 1372, 8, 2365, 5466, 4, 23973, 11, 5, 762, 9, 381, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2214, 16, 686, 7, 836, 12298, 9450, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50456, 56514, 54814, 56514, 50820, 56682, 50948, 52684, 53380, 55080, 51353, 51943, 51477, 62612, 51362, 52453, 65617, 58016, 50374, 54176, 50883, 51017, 51419, 50868, 51391, 78949, 50420, 51844, 51290, 52166, 50870, 65719, 52767, 51844, 51290, 51943, 52015, 62612, 51939, 50733, 50337, 51977, 52453, 58016, 63607, 51391, 51017, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 51844, 50940, 53026, 58533, 52772, 51844, 50948, 62043, 51130, 71353, 51481, 50868, 51328, 73944, 50456, 51957, 50948, 68552, 58533, 59044, 50733, 50336, 52567, 51383, 61824, 50733, 50337, 57498, 50733, 50336, 51238, 53447, 50948, 52583, 51189, 51188, 51283, 52453, 60432, 66327, 51419, 50868, 51391, 78949, 50420, 51181, 51016, 52166, 58409, 50733, 50336, 51238, 65719, 52767, 51374, 51290, 53278, 51675, 54165, 51790, 51499, 52015, 71345, 51238, 52453, 58016, 79603, 51391, 51042, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 71345, 51363, 51270, 52875, 73654, 61201, 51111, 53026, 58533, 52772, 51374, 50948, 55261, 50983, 62043, 51130, 50837, 51042, 51481, 50868, 51328, 50992, 51328, 50453, 61201, 51480, 50456, 51374, 50948, 68552, 58533, 50372, 54176, 54814, 51383, 50370, 54176, 50820, 56682, 50948, 55080, 51353, 52684, 53454, 51943, 51283, 62612, 51073, 52453, 60432, 50374, 54176, 50883, 51017, 51419, 50868, 51391, 78949, 50420, 51844, 51290, 52166, 54604, 55261, 51542, 50426, 62612, 51452, 55605, 52767, 51844, 51290, 51943, 51680, 52453, 58016, 63607, 51391, 51017, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 51844, 50940, 53026, 58533, 52772, 51844, 50948, 62043, 51130, 71353, 51481, 50868, 51328, 73944, 50456, 51957, 50948, 53026, 58533, 54600, 51383, 50870, 53447, 50948, 52583, 51218, 51188, 51283, 52453, 60432, 66327, 51419, 50868, 51391, 78949, 50420, 51181, 51016, 52166, 50870, 65719, 52767, 51374, 51290, 53278, 51591, 54165, 51675, 51499, 52015, 52453, 58016, 79603, 51391, 51042, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 73654, 53026, 58533, 52772, 51910, 50940, 62043, 51130, 50837, 51042, 51481, 50868, 51328, 50992, 77228, 51374, 50948, 53026, 58533, 50372, 54176, 54814, 51383, 50370, 54176, 50820, 56682, 50948, 55080, 51353, 52684, 53380, 51943, 51477, 62612, 51362, 52453, 65617, 58016, 50374, 54176, 50883, 51017, 51419, 50868, 51391, 78949, 50420, 51844, 51290, 52166, 50870, 65719, 52767, 51844, 51290, 51943, 52015, 62612, 51939, 50733, 50337, 51977, 52453, 58016, 63607, 51391, 51017, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 51844, 50940, 53026, 58533, 52772, 51844, 50948, 62043, 51130, 71353, 51481, 50868, 51328, 73944, 50456, 51957, 50948, 68552, 58533, 59044, 50733, 50336, 52567, 51383, 61824, 50733, 50337, 57498, 50733, 50336, 51238, 53447, 50948, 52583, 51189, 51188, 51283, 52453, 60432, 66327, 51419, 50868, 51391, 78949, 50420, 51181, 51016, 52166, 58409, 50733, 50336, 51238, 65719, 52767, 51374, 51290, 53278, 51675, 54165, 51790, 51499, 52015, 71345, 51238, 52453, 58016, 79603, 51391, 51042, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 71345, 51363, 51270, 52875, 73654, 61201, 51111, 53026, 58533, 52772, 51374, 50948, 55261, 50983, 62043, 51130, 50837, 51042, 51481, 50868, 51328, 50992, 51328, 50453, 61201, 51480, 50456, 51374, 50948, 68552, 58533, 50372, 54176, 54814, 51383, 50370, 54176, 50820, 56682, 50948, 55080, 51353, 52684, 53454, 51943, 51283, 62612, 51073, 52453, 60432, 50374, 54176, 50883, 51017, 51419, 50868, 51391, 78949, 50420, 51844, 51290, 52166, 54604, 55261, 51542, 50426, 62612, 51452, 55605, 52767, 51844, 51290, 51943, 51680, 52453, 58016, 63607, 51391, 51017, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 51844, 50940, 53026, 58533, 52772, 51844, 50948, 62043, 51130, 71353, 51481, 50868, 51328, 73944, 50456, 51957, 50948, 53428, 50845, 53026, 58533, 54600, 51383, 50870, 53447, 50948, 52583, 51218, 51188, 51283, 53048, 50915, 52453, 60432, 66327, 51419, 50868, 51391, 78949, 50420, 51181, 50948, 53428, 50972, 52166, 52872, 51640, 50948, 53048, 51108, 55605, 52767, 51374, 51290, 53278, 51591, 54165, 51675, 51499, 52015, 53428, 51166, 52453, 58016, 79603, 51391, 51042, 51318, 50868, 51310, 50435, 51270, 52621, 53048, 52407, 69563, 55788, 51270, 52875, 73654, 53026, 58533, 52772, 51910, 50940, 62043, 51130, 50837, 51042, 51481, 50868, 51328, 50992, 77228, 51374, 50948, 52671, 50893, 53026, 58533, 50372, 54176, 54814, 51383, 50370, 54176, 50820, 56682, 50948, 52671, 50821, 53278, 51307, 52453, 65617, 58016, 50835, 52331, 50977, 51017, 51419, 50868, 51391, 78949, 50420, 51844, 51175, 52671, 50940, 52166, 50870, 52331, 71266, 52671, 50952, 55605, 52767, 51844, 51290, 52671, 51227, 52453, 58016, 50837, 52331, 51267, 78949, 51017, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 51844, 50858, 51596, 50940, 53026, 58533, 50835, 52331, 52843, 51844, 50948, 51789, 50952, 62043, 51130, 50837, 52331, 50866, 51017, 51481, 50868, 51328, 73944, 50456, 51957, 50948, 51789, 51290, 68552, 58533, 50837, 52899, 61219, 52583, 51047, 51383, 50870, 53447, 50948, 52453, 60432, 50835, 51482, 50866, 50848, 51419, 50868, 51391, 78949, 50420, 51181, 51235, 51596, 51175, 52166, 50870, 51482, 51203, 65719, 52767, 51374, 51290, 52453, 58016, 50837, 51726, 51267, 50992, 51391, 51042, 51318, 50868, 51310, 50433, 52202, 51290, 50435, 56470, 51183, 51270, 52621, 69563, 55788, 51270, 52875, 73654, 52155, 50924, 53026, 58533, 50835, 51726, 56060, 51374, 50948, 52202, 50940, 62043, 51130, 50837, 51726, 50866, 51042, 51481, 50868, 51328, 50992, 77228, 51857, 50948, 68552, 58533, 50837, 53180, 50977, 50457, 52202, 51055, 50459, 53278, 51353, 51383, 50870, 56682, 50948, 52453, 60432, 50835, 52331, 50977, 51688, 50917, 51017, 51419, 50868, 51391, 78949, 50420, 51844, 51175, 52166, 50870, 52331, 51043, 51688, 51110, 50421, 52671, 51226, 65719, 52767, 51844, 51290, 52453, 58016, 50837, 52331, 51267, 51688, 67771, 51391, 51017, 51318, 50868, 51310, 50433, 52202, 51253, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 51844, 53287, 51187, 58533, 50835, 52331, 50810, 51688, 63178, 52671, 57991, 51844, 50948, 62043, 51130, 50837, 52331, 50866, 51688, 50917, 51017, 51481, 50868, 51328, 73944, 50456, 51957, 50948, 53026, 58533, 50837, 52899, 50866, 52540, 50917, 50457, 52202, 52056, 50459, 52583, 51562, 51383, 50870, 53447, 50948, 52453, 60432, 50835, 51482, 50866, 51171, 72024, 51419, 50868, 51391, 78949, 50420, 51181, 51235, 52166, 50870, 51482, 51203, 51171, 51124, 50421, 52671, 52056, 65719, 52767, 51374, 51290, 56470, 51790, 52453, 58016, 50837, 51726, 51267, 51217, 51159, 50992, 51391, 51042, 51318, 50868, 51310, 50435, 51270, 52621, 69563, 55788, 51270, 52875, 73654, 53026, 58533, 50835, 51726, 50878, 51217, 55620, 51374, 50948, 62043, 51130, 50837, 51726, 50866, 51217, 50917, 51042, 51481, 50868, 51328, 50992, 77228, 51857, 50948, 54120, 50879, 53026, 58533, 50837, 53180, 50977, 51791, 67238, 53278, 51307, 51383, 50870, 56682, 50948, 52671, 53558, 51130, 60432, 50835, 52331, 50977, 51017, 51419, 50868, 51391, 78949, 51688, 70506, 51844, 51175, 52671, 50940, 52166, 50870, 52331, 71266, 52671 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 3152, 1619, 2214, 4246, 10, 13305, 6, 2342, 4467, 6, 31391, 1672, 9590, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 13950, 13410, 228, 2289, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 274, 10431, 119, 401, 6, 163, 119, 6, 8, 230, 10431, 406, 14, 31473, 1495, 157, 7, 3618, 8, 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, 0, 0 ]

[ 56236, 51181, 51204, 52604, 51354, 60211, 52054, 52871, 50989, 66388, 52434, 50317, 52434, 50320, 50977, 51892, 50421, 52156, 61083, 52251, 78211, 60824, 50427, 52083, 60838, 51181, 50833, 51120, 51328, 52083, 51661, 66921, 51181, 51191, 74727, 71869, 51028, 51101, 50968, 51101, 55159, 51180, 53140, 69874, 64940, 80152, 50968, 50942, 63904, 51181, 50925, 51892, 63065, 51204, 62676, 50965, 50925, 79948, 51028, 50925, 52156, 54452, 56536, 50419, 52156, 51030, 55961, 66878, 50854, 67563, 74730, 56889, 51686, 50865, 74627, 52458, 60263, 51295, 50965, 51295, 50973, 51295, 51028, 51295, 52156, 51500, 59199, 62083, 51191, 59159, 51686, 51013, 51892, 51382, 60710, 54403, 52458, 50925, 57452, 53447, 51204, 78887, 62927, 51028, 50925, 50968, 50925, 52604, 51500, 55032, 78594, 50989, 50854, 61233, 74730, 76171, 78169, 52156, 62239, 52251, 50887, 51302, 60824, 50427, 52083, 53911, 51181, 50833, 50989, 51295, 50877, 51295, 51028, 51295, 50968, 51295, 52083, 51661, 66921, 51181, 51191, 55159, 63047, 67369, 51754, 51181, 50925, 51892, 63065, 51091, 80200, 52156, 50930, 55961, 52434, 50312, 52434, 50315, 52434, 50317, 50977, 52156, 51030, 56889, 51686, 52918, 51049, 53917, 52458, 50854, 51360, 51328, 52636, 64662, 52156, 51566, 62083, 61858, 51101, 50965, 51101, 50973, 51101, 51028, 51101, 59159, 52458, 51116, 51686, 51013, 51892, 56415, 50942, 76600, 75651, 80152, 71682, 54403, 52458, 50925, 66871, 50810, 53447, 51204, 78887, 62927, 51028, 50925, 50968, 50925, 80200, 52604, 59217, 50989, 50854, 61233, 74730, 76171, 51892, 50424, 52156, 52437, 52251, 52572, 60824, 50427, 52083, 53974, 51181, 50833, 50989, 51295, 50877, 51295, 51028, 51295, 50968, 51295, 57870, 50433, 52083, 51364, 59501, 51191, 55159, 63047, 67369, 51754, 51181, 50925, 51892, 63065, 51294, 52156, 54441, 51049, 52871, 50871, 52434, 50312, 52434, 50315, 52434, 50317, 50977, 52156, 50948, 51892, 50425, 51686, 50917, 51302, 78503, 52458, 50833, 51360, 51328, 50801, 57659, 52156, 51566, 62083, 51141, 76329, 50965, 51101, 50973, 51101, 51028, 51101, 51553, 50882, 50445, 51686, 51112, 50447, 51224, 52848, 68452, 76600, 75651, 80152, 51224, 59574, 51289, 51754, 52458, 50910, 52251, 51073, 51289, 50882, 55934, 51204, 68899, 78887, 62927, 51028, 50925, 60211, 52054, 52871, 50916, 69303, 50854, 61233, 74730, 52083, 52382, 51892, 65250, 53917, 51640, 50833, 50916, 51295, 50989, 51295, 50877, 51295, 51028, 51295, 57870, 55827, 51191, 55159, 63047, 67369, 51754, 51640, 50925, 51892, 59373, 50983, 50989, 51307, 50877, 51307, 50973, 51307, 50902, 51307, 55032, 56911, 65250, 53917, 51910, 53097, 62445, 58711, 50983, 55159, 63047, 51382, 60710, 54403, 51910, 50952, 57452, 55934, 51294, 68899, 78887, 62927, 51028, 50925, 55032, 78594, 50916, 69303, 50854, 61233, 74730, 51892, 65250, 53917, 51640, 50833, 50916, 51295, 50989, 51295, 50877, 51295, 51028, 51295, 57870, 55827, 51141, 55159, 63047, 67369, 51754, 51640, 50910, 51892, 59373, 51091, 78887, 62927, 79948, 71702, 64112, 50989, 50854, 61233, 67563, 67666, 51892, 51510, 50810, 51302, 52227, 53917, 51910, 69303, 51295, 50877, 51295, 50973, 51295, 50902, 51295, 52234, 55801, 50800, 58711, 54436, 62691, 51820, 51910, 51116, 51224, 73449, 56234, 51754, 51910, 50925, 51289, 51049, 50822, 55934, 51091, 51040, 51307, 50989, 51307, 50877, 51307, 52251, 52536, 60211, 52054, 50812, 56911, 65250, 53917, 51640, 54312, 56619, 55827, 54436, 51049, 52597, 51640, 51116, 51892, 67369, 51754, 51640, 50925, 52083, 50952, 51892, 59373, 50983, 78887, 62927, 79948, 71702, 80200, 52083, 50841, 52251, 51175, 69724, 50854, 61233, 67563, 67666, 56889, 52083, 50952, 74627, 51910, 75965, 51295, 50877, 51295, 50973, 51295, 50902, 51295, 52251, 51238, 52636, 50844, 58711, 50983, 59159, 51686, 50991, 51892, 51382, 60710, 54403, 51910, 50952, 51789, 51605, 66871, 50810, 54281, 51204, 50899, 51307, 50916, 51307, 50861, 51307, 50973, 51307, 52506, 50800, 56911, 65250, 53917, 51374, 53530, 56619, 54360, 51191, 55159, 63047, 67369, 51754, 51374, 50925, 51596, 51049, 50822, 55934, 50983, 50989, 51127, 50906, 51675, 51040, 51675, 51789, 51345, 55032, 56911, 51302, 60824, 50427, 51596, 52559, 51640, 53097, 51373, 64662, 52083, 51235, 55827, 50983, 50989, 51212, 59159, 50906, 50905, 51892, 50445, 51789, 63112, 51028, 50845, 71682, 54403, 51640, 50952, 51114, 52773, 56558, 59697, 52671, 51264, 59373, 51400, 50916, 51562, 50989, 51562, 50877, 51562, 51028, 51562, 55032, 68072, 51910, 51178, 74627, 57870, 58711, 51400, 50956, 51562, 50989, 51562, 50877, 51562, 50973, 51562, 55159, 51180, 53140, 51910, 51178, 68728, 51453, 50822, 54281, 51204, 52671, 51227, 64112, 50899, 52434, 50308, 52434, 50312, 52434, 50315, 50977, 56889, 52202, 50952, 74627, 51374, 50833, 51315, 51328, 52315, 51377, 59199, 54360, 51191, 50899, 51101, 67032, 50965, 51101, 50973, 51101, 59159, 52202, 50991, 51892, 56279, 50942, 74656, 76600, 75651, 71682, 54403, 51374, 50925, 51596, 51048, 57452, 55934, 51400, 52506, 51835, 50899, 68036, 59460, 50889, 52671, 51472, 56889, 51640, 51178, 74627, 57870, 62083, 51391, 50871, 51562, 50965, 51562, 50973, 51562, 51028, 51562, 55159, 50443, 51752, 51111, 51180, 53140, 52671, 51215, 63904, 52458, 50830, 51892, 55934, 51091, 68899, 78887, 62927, 51028, 50925, 52251, 52392, 64112, 50916, 69303, 50854, 61233, 74730, 51892, 51302, 67786, 53917, 51640, 72075, 51295, 50989, 51295, 50877, 51295, 51028, 51295, 52234, 51597, 51022, 51892, 55827, 54436, 51049, 52597, 51640, 51116, 75777, 52283, 52101, 51382, 56055, 60710, 50882, 50455, 52083, 59349, 51640, 50925, 52636, 54846, 50852, 50851, 59373, 50983, 50989, 51218, 50877, 51218, 50973, 51218, 50902, 51218, 52251, 51073, 52506, 59078, 52921, 52083, 50937, 74627, 51910, 50812, 51324, 51101, 52251, 51238, 57870, 58711, 50983, 50989, 51178, 65645, 50973, 51178, 73054, 59159, 51686, 51238, 57491, 77206, 59836, 69315, 60537, 63904, 51910, 50952, 51789, 51655, 51892, 54281, 76602, 51218, 50916, 78043, 51218, 50973, 51218, 55032, 56911, 65250, 53917, 51374, 50812, 51315, 51101, 52636, 50844, 54360, 76602, 51178, 50916, 51178, 68062, 50973, 51178, 55159, 51180, 53140, 66432, 65927, 58537, 69315, 71682, 54403, 51132, 50952, 51596, 53841, 56558, 50810, 55934, 51294, 51040, 50925, 78887, 67639, 51789, 51227, 52506, 51835, 51040, 69303, 50854, 62419, 56889, 51596, 51907, 60824, 51532, 54150, 51640, 50833, 51040, 51295, 50989, 51295, 50906, 51295, 57870, 50433, 52083, 51345, 55827, 51141, 55159, 63047, 50445, 51789, 51048, 67369, 51754, 51640, 50910, 51892, 50459, 52671, 51359, 59373, 51400, 64112, 50916, 68036, 59460, 71734, 50889, 56889, 51910, 51178, 74627, 59199, 58711, 51391, 50877, 51562, 50973, 51562, 51001, 51562, 51114, 51562, 55159, 63047, 51382, 60710, 54403, 51910, 50830, 57452, 54281, 51391, 80200, 52671, 51290, 54569, 68036, 59460, 66154, 50889, 56889, 52202, 50865, 74627, 77687, 52315, 51048, 57870, 54360, 51391, 50899, 51562, 50916, 51562, 50965, 51562, 50973, 51562, 59159, 52202, 51112, 51892, 67369, 51754, 77687, 51892, 50457, 51596, 51013, 55934, 51400, 50899, 51562, 50989, 51562, 50877, 51562, 55032, 56911, 50421, 52671, 51291, 50426, 51640, 51178, 74627, 59199, 62083, 51400, 59159, 50871, 62202, 66154, 71734, 50889, 51892, 50445 ]

[ 0, 1121, 42, 15352, 30054, 5175, 2214, 6, 38668, 22052, 8, 10, 2342, 4467, 185, 5, 483, 6, 7513, 30, 41, 21979, 8669, 6, 26432, 636, 3938, 22052, 6, 8, 21072, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 3366, 219, 8, 19448, 5466, 6, 20455, 9, 10, 569, 177, 19834, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 538, 8, 1575, 10, 33215, 16739, 9, 274, 6, 163, 428, 73, 597, 6, 274, 6, 230, 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 ]

[ 56236, 61627, 52072, 52122, 52009, 51183, 51722, 51112, 51612, 51345, 51165, 51109, 51107, 66039, 52547, 51267, 50451, 51612, 51162, 52037, 51400, 51107, 51203, 51201, 51775, 53596, 51732, 53034, 51183, 52471, 51183, 52184, 51204, 52290, 51351, 52876, 50862, 52967, 50862, 53348, 53630, 57838, 65600, 51395, 51391, 51182, 51419, 50418, 53348, 50862, 52876, 50862, 52967, 53340, 68684, 52967, 50862, 52876, 50862, 53348, 53340, 54654, 52967, 50862, 53348, 50862, 52876, 50862, 59799, 72435, 53861, 50432, 52184, 50937, 52290, 50901, 51395, 50892, 51182, 70139, 52978, 50862, 53143, 50862, 52967, 50862, 52029, 51102, 64147, 52009, 51353, 52547, 51353, 51612, 51445, 52037, 51313, 53884, 50439, 51107, 53588, 51201, 53142, 50442, 53861, 50446, 52978, 50862, 53143, 50862, 52967, 53340, 50857, 52320, 68357, 53842, 50458, 52967, 50862, 52978, 50862, 53143, 50862, 52558, 50799, 53143, 50862, 52967, 50862, 52978, 53630, 55115, 65149, 52967, 50862, 52978, 50862, 53143, 53340, 68684, 52967, 50862, 53143, 50862, 52978, 53340, 54317, 52978, 50862, 53143, 50839, 52967, 50862, 64229, 50959, 55994, 62692, 53143, 50862, 52967, 50862, 52803, 50839, 52978, 50862, 66012, 51051, 50437, 51716, 51003, 53034, 56509, 51567, 51116, 52184, 51013, 51093, 51400, 51395, 51013, 52385, 55820, 77388, 52967, 50862, 52978, 50862, 53143, 53340, 50862, 52320, 79626, 52072, 51194, 52009, 51194, 51722, 51110, 51612, 51110, 51165, 51124, 51107, 51255, 56403, 61688, 52967, 50862, 53143, 50862, 52978, 50862, 52385, 52354, 51795, 51821, 53454, 52072, 51351, 52009, 51295, 51722, 51191, 51612, 50983, 53143, 50862, 52967, 50862, 52978, 53630, 51805, 76415, 51107, 51351, 51165, 51003, 50418, 52978, 50862, 53143, 50862, 52967, 53340, 68684, 52967, 50862, 53143, 50862, 52978, 53340, 54654, 52967, 50862, 53143, 50862, 52978, 50862, 64229, 50867, 55994, 55487, 51584, 51008, 51567, 50844, 51113, 51142, 51093, 51051, 50433, 51701, 51353, 51716, 53651, 50434, 54033, 50862, 53143, 50862, 52803, 50862, 66012, 53980, 51567, 51445, 51584, 51243, 50791, 64643, 51093, 51671, 51113, 51748, 55820, 64529, 52803, 50862, 53143, 50862, 54033, 53340, 50941, 52320, 61192, 53884, 50458, 52803, 50862, 53143, 50839, 54033, 54996, 50867, 52354, 51184, 53143, 50862, 54033, 50862, 52803, 53630, 51331, 71045, 53143, 50862, 54033, 50862, 52803, 53340, 67643, 53143, 50862, 54033, 50862, 52803, 50862, 75445, 53143, 50839, 54033, 50862, 52803, 50862, 66783, 63341, 53861, 50434, 54033, 50862, 53143, 50862, 52803, 50862, 66012, 61360, 52184, 51345, 52290, 61636, 53034, 51400, 52471, 51267, 51395, 51203, 51182, 51203, 52385, 50442, 53842, 50446, 54033, 50862, 53143, 50862, 52803, 53340, 54915, 52547, 51255, 53051, 51400, 52792, 51377, 52037, 51238, 51201, 51194, 51284, 51412, 52385, 50454, 53861, 50458, 54033, 50862, 53143, 50862, 52803, 53340, 63729, 52072, 51353, 53870, 51795, 52471, 51353, 53909, 51353, 52876, 50862, 52967, 50862, 53348, 53630, 51805, 70623, 52290, 51091, 53755, 51241, 51182, 51134, 51394, 51391, 50418, 53348, 50862, 52876, 50862, 52967, 53340, 66806, 52876, 50862, 52967, 50862, 53348, 53340, 53935, 53348, 50862, 52876, 50862, 52967, 50862, 57563, 63432, 53884, 50433, 53755, 51452, 52290, 51452, 51394, 51803, 51182, 51790, 50434, 52876, 50862, 52967, 50862, 53348, 50862, 51895, 51102, 50864, 51570, 63776, 53861, 50446, 53348, 50862, 52876, 50862, 52967, 53340, 50904, 52320, 50813, 56403, 62298, 52876, 50862, 52967, 50862, 53348, 53340, 50971, 52354, 51795, 54033, 50862, 52803, 50862, 52798, 53630, 51805, 61158, 52798, 50862, 54033, 50862, 52803, 53340, 66806, 52803, 50862, 54033, 50862, 52798, 53340, 54654, 52009, 51790, 52547, 51790, 54033, 50862, 52803, 50862, 52798, 50862, 57663, 64644, 51612, 51427, 52037, 50967, 51107, 51178, 51201, 51043, 50430, 53861, 50434, 52798, 50862, 54033, 50862, 52803, 50862, 75056, 50933, 51570, 64643, 51612, 51745, 52037, 51091, 51107, 51191, 51201, 51241, 50442, 53842, 50446, 52803, 50862, 54033, 50862, 52798, 50862, 51248, 54936, 56604, 51190, 53120, 62603, 52029, 53120, 54166, 53034, 50901, 51716, 73363, 51567, 50865, 52184, 50917, 51093, 50878, 51395, 63105, 54033, 50862, 52803, 50862, 52798, 50378, 53221, 54998, 50857, 53596, 50823, 52967, 50862, 52978, 50862, 52798, 53630, 51805, 50371, 52526, 66277, 51821, 55428, 52072, 52069, 52009, 51353, 51722, 51894, 51612, 51991, 51165, 53142, 50416, 51107, 52062, 50418, 52798, 50862, 52967, 50862, 52978, 53340, 67643, 65247, 52967, 50862, 52978, 50839, 52798, 53340, 53383, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 53630, 50823, 59799, 50959, 55994, 62692, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 50862, 66012, 50867, 51450, 51805, 63397, 53884, 50446, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 53340, 54939, 73777, 51156, 50813, 56403, 62298, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 53340, 69309, 51701, 52069, 51716, 52069, 52354, 50803, 51113, 52136, 51093, 51381, 51201, 51381, 54033, 50862, 52803, 50862, 52798, 53618, 51805, 64685, 52803, 50862, 54033, 50862, 52798, 53340, 67643, 71101, 54033, 50862, 52803, 50862, 52798, 54996, 51904, 50579, 55447, 51720, 50803, 54033, 50862, 52803, 50862, 52798, 53630, 51156, 50370, 54936, 53123, 50867, 55994, 61075, 51720, 50803, 54033, 50862, 52803, 50862, 52798, 50862, 66783, 50886, 69832, 63397, 51287, 54936, 69354, 51720, 50823, 54033, 50862, 52803, 50862, 52798, 50862, 51715, 54936, 53688, 58205, 54033, 50862, 52803, 50862, 52798, 53630, 52702, 50374, 54936, 75903, 51720, 50803, 54033, 50862, 52803, 50862, 52798, 50862, 51287, 53120, 62705, 71101, 54033, 50862, 52803, 50862, 52798, 50378, 53221, 54998, 50886, 50799, 54809, 51059, 68427, 54064, 51351, 52016, 51295, 52967, 50862, 52978, 50862, 52798, 53630, 51156, 50372, 52526, 66277, 50939, 51226, 51007, 51274, 50418, 52967, 50862, 52978, 50862, 52798, 53340, 70852, 68362, 52967, 50862, 52978, 50862, 52798, 50862, 67684, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 53630, 52279, 50975, 59799, 50904, 55994, 71588, 55830, 51059, 52233, 51295, 52606, 51351, 50909, 51241, 51298, 51241, 50434, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 50862, 52029, 51102, 50864, 69832, 63397, 53884, 50446, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 53340, 54105, 53124, 50993, 51096, 50975, 52016, 51400, 51821, 51400, 51007, 51162, 51257, 71160, 52279, 51331, 58261, 53861, 50458, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 50862, 52470, 53596, 50823, 51678, 51351, 52967, 50862, 53348, 50862, 52837, 53630, 51156, 70623, 52182, 51059, 54064, 51353, 52606, 51351, 51298, 51204, 51439, 51241, 50418, 53348, 50862, 52967, 50862, 52837, 53340, 68684, 65247, 52967, 50862, 53348, 50862, 52837, 53340, 54654, 51186, 50803, 52967, 50862, 53348, 50862, 52837, 53630, 52865, 51331, 54766, 60155, 53842, 50432, 52016, 51790, 51821, 51295, 50433, 53124, 51029, 51007, 51191, 51257, 51218, 50434, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 50862, 57563, 50864, 51450, 51805, 63397, 53842, 50446, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 53340, 54086, 54809, 50993, 51096, 55877, 66135, 72584, 50939, 50991, 51007, 50991, 56403, 62298, 51186, 50803, 52967, 50862, 52978, 50862, 52798, 50862, 52385, 52354, 50823, 55825 ]

[ 0, 713, 765, 5175, 19834, 2125, 11, 274, 538, 16, 17407, 30, 63, 15352, 30054, 8, 20425, 2574, 6, 19, 223, 34693, 9, 11098, 8, 15073, 4, 20, 20535, 2810, 6, 217, 20125, 2580, 8, 17465, 281, 6, 1239, 5, 483, 6, 7513, 30, 10, 6755, 12547, 4, 590, 10, 1769, 20889, 9, 3982, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 1575, 10, 33215, 16739, 9, 274, 6, 230, 6, 274, 6, 211, 119, 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 ]

[ 59626, 51509, 50824, 57238, 50824, 50709, 50333, 51016, 61437, 50824, 54822, 57173, 51509, 50817, 57238, 50817, 50709, 50333, 50895, 61437, 50817, 54822, 53908, 51509, 50817, 57238, 51031, 50709, 50333, 50884, 61437, 51031, 54822, 53040, 51509, 51059, 57238, 51059, 50709, 50333, 51362, 61437, 51059, 54822, 51134, 50456, 71555, 57238, 50811, 50709, 50333, 50890, 61437, 50811, 54822, 54655, 71555, 57238, 50811, 50709, 50333, 50890, 61437, 50811, 54822, 50813, 64996, 50803, 57238, 50803, 50709, 50333, 50858, 61437, 50803, 54822, 53066, 73383, 53954, 50894, 50709, 50330, 50800, 54970, 50894, 52991, 53450, 51723, 50803, 52336, 50894, 71751, 50800, 53089, 50894, 52366, 53513, 73383, 53954, 50950, 50709, 50330, 50859, 54970, 50950, 52991, 52729, 79430, 57238, 50950, 50709, 50333, 50859, 61437, 50950, 54822, 53103, 73383, 53954, 50950, 50709, 50330, 50859, 54970, 50950, 52991, 52843, 79430, 57238, 50950, 50709, 50333, 50859, 61437, 50950, 54822, 52863, 52336, 50803, 50707, 50338, 50950, 50709, 50338, 50859, 50699, 50350, 50950, 68610, 50810, 64996, 50803, 57238, 50882, 50709, 50333, 50808, 61437, 50882, 54822, 54351, 73383, 53954, 50950, 50709, 50330, 50859, 54970, 50950, 52991, 52654, 51723, 50803, 52336, 50950, 71751, 50859, 53089, 50950, 52366, 52658, 73383, 53954, 50950, 50709, 50330, 50859, 54970, 50950, 52991, 52729, 79430, 57238, 50882, 50709, 50333, 50808, 61437, 50882, 54822, 53783, 73383, 53954, 50950, 50709, 50330, 50859, 54970, 50950, 52991, 52843, 79430, 57238, 50950, 50709, 50333, 50859, 61437, 50950, 54822, 52863, 79121, 50707, 50338, 50811, 50709, 50338, 50890, 50699, 50350, 50811, 68610, 50813, 64996, 51072, 57238, 51072, 50709, 50333, 51290, 61437, 51072, 54822, 69558, 51509, 50817, 57238, 50961, 50709, 50333, 50846, 61437, 50961, 54822, 54606, 51509, 50817, 57238, 51031, 50709, 50333, 50884, 61437, 51031, 54822, 52600, 51509, 51059, 57238, 51059, 50709, 50333, 51362, 61437, 51059, 54822, 51134, 50456, 71555, 57238, 51010, 50709, 50333, 50887, 61437, 51010, 54822, 54655, 71555, 57238, 50811, 50709, 50333, 50890, 61437, 50811, 54822, 50813, 64996, 50950, 57238, 50950, 50709, 50333, 50859, 61437, 50950, 54822, 53066, 51431, 50880, 51509, 50930, 52629, 50880, 57238, 50930, 56846, 50846, 62986, 50835, 74011, 50836, 50709, 50333, 50840, 51690, 51031, 52487, 50818, 53506, 50880, 61437, 50930, 52306, 50867, 54822, 56133, 51431, 50828, 52629, 50828, 51509, 50930, 57238, 50930, 56846, 50841, 62986, 50839, 74011, 50829, 50709, 50333, 50840, 51690, 50949, 52487, 50961, 53506, 50828, 61437, 50930, 52306, 50837, 54822, 53383, 51431, 50890, 51509, 51010, 52629, 50890, 57238, 51010, 56846, 50836, 62986, 50836, 74011, 50855, 50709, 50333, 50887, 51690, 51010, 52487, 50962, 53506, 50890, 61437, 51010, 52306, 50886, 54822, 53705, 51431, 50930, 51509, 50962, 52629, 50930, 57238, 50962, 56846, 50840, 62986, 50836, 74011, 50840, 50709, 50333, 50809, 51690, 51010, 52487, 50962, 53506, 50930, 61437, 50962, 52306, 50857, 54822, 53891, 61715, 50894, 52334, 50894, 51431, 50894, 51509, 50894, 52629, 50894, 57238, 50894, 62986, 50855, 74011, 50800, 50709, 50333, 50800, 51690, 51010, 52487, 50962, 53506, 50894, 61437, 50894, 52103, 50844, 52306, 50844, 54822, 53783, 51431, 50883, 51509, 51031, 52629, 50883, 57238, 51031, 61715, 50894, 52334, 50894, 62986, 50839, 74011, 50828, 50709, 50333, 50884, 51690, 50949, 52487, 50883, 53506, 50883, 61437, 51031, 52103, 50844, 52306, 50829, 54822, 54028, 51431, 50884, 51509, 50961, 52629, 50884, 57238, 50961, 61715, 50894, 52334, 50894, 62986, 50839, 74011, 50839, 50709, 50333, 50846, 51690, 51031, 52487, 50961, 53506, 50884, 61437, 50961, 52103, 50844, 52306, 50835, 54822, 52802, 51431, 50880, 51509, 50962, 52629, 50880, 57238, 50962, 61715, 50894, 52334, 50894, 62986, 50828, 74011, 50836, 50709, 50333, 50809, 51690, 51031, 52487, 51031, 53506, 50880, 61437, 50962, 52103, 50844, 52306, 50867, 54822, 54199, 51431, 50961, 52629, 50961, 51509, 51010, 57238, 51010, 61715, 50894, 52334, 50894, 74011, 50846, 62986, 50840, 50709, 50333, 50887, 53506, 50961, 51690, 51010, 52487, 51010, 61437, 51010, 52103, 50844, 52306, 50834, 54822, 50857, 50799, 61715, 52512, 52334, 52512, 51431, 52512, 51509, 52512, 52629, 52512, 57238, 52512, 74011, 52512, 50709, 50333, 52512, 62986, 51358, 53506, 52512, 61437, 52512, 52487, 51407, 51690, 51407, 52103, 51397, 52306, 51397, 54822, 51397, 50438, 52334, 50950, 51509, 51012, 57238, 51012, 51431, 51192, 52629, 51192, 61715, 51653, 50709, 50333, 51012, 74011, 51192, 61437, 51012, 53506, 51192, 52103, 50810, 52306, 51242, 54822, 53586, 52334, 50855, 51509, 50855, 56846, 50855, 51690, 50855, 51713, 58182, 52334, 50962, 51509, 50962, 56846, 50962, 51690, 50962, 51713, 59854, 50645, 50799, 50645, 51509, 50930, 55005, 50840, 55749, 50855, 56846, 50930, 57778, 50854, 51165, 51010, 51384, 50930, 51690, 50930, 51394, 50821, 51713, 54657, 51509, 50883, 56846, 50883, 51690, 50883, 51713, 54104, 51509, 50890, 56846, 50890, 51690, 50890, 51713, 53935, 51509, 50880, 55005, 50855, 57778, 50857, 55749, 50855, 56846, 50880, 51165, 50930, 51394, 50890, 51384, 50930, 51690, 50880, 51713, 53860, 51509, 50818, 56846, 50818, 51690, 50818, 51713, 53439, 51509, 50887, 56846, 50887, 51690, 50887, 51713, 53945, 52336, 51010, 55005, 50855, 57778, 50867, 55749, 50862, 71751, 51010, 51165, 50930, 51394, 50887, 51384, 50930, 53089, 51010, 52366, 53524, 52629, 50811, 55005, 50855, 57778, 50867, 55749, 50862, 74011, 50811, 51165, 50930, 51394, 50887, 51384, 50930, 53506, 50811, 52306, 52800, 53954, 50811, 55005, 50836, 57778, 50857, 55749, 50862, 50709, 50330, 50811, 51165, 51010, 51394, 50890, 51384, 50930, 54970, 50811, 52991, 53211, 51509, 50961, 56846, 50961, 51690, 50961, 51713, 54794, 51509, 50930, 56846, 50930, 51690, 50930, 51713, 50857, 64996, 50962, 55005, 50840, 57778, 50813, 55749, 50855, 56846, 50962, 51165, 51010, 51394, 50890, 51384, 50962, 51690, 50962, 51713, 54657, 51509, 51031, 56846, 51031, 51690, 51031, 51713, 54316, 51509, 50880, 56846, 50880, 51690, 50880, 51713, 53803, 52336, 50950, 55005, 50836, 57778, 50862, 55749, 50836, 71751, 50950, 51165, 50962, 51394, 50880, 51384, 51010, 53089, 50950, 52366, 52658, 53954, 51031, 50709, 50330, 51031, 54970, 51031, 52991, 53908, 53954, 51010, 50709, 50330, 51010, 54970, 51010, 52991, 52781, 52629, 50811, 55936, 50839, 53994, 50840, 56979, 50836, 55520, 50862, 74011, 50811, 51201, 50883, 51154, 51010, 51284, 50962, 51304, 50930, 53506, 50811, 52306, 53524, 52067, 51010, 55936, 50820, 53994, 50840, 56979, 50862, 55520, 50836, 62986, 51010, 51201, 50895, 51154, 51010, 51284, 50880, 51304, 50962, 52487, 51010, 52002, 52800, 51509, 50930, 55936, 50828, 53994, 50836, 56979, 50862, 55520, 50836, 56846, 50930, 51201, 50949, 51154, 50962, 51284, 50880, 51304, 51010, 51690, 50930, 51713, 54199, 51509, 50884, 56846, 50884, 51690, 50884, 51713, 54603, 51509, 50880, 56846, 50880, 51690, 50880, 51713, 50867, 64996, 51010, 55005, 50836, 57778, 50855, 55749, 50836, 56846, 51010, 51165, 51010, 51394, 50930, 51384, 50962, 51690, 51010, 51713, 53299, 51509, 50949, 56846, 50949, 51690, 50949, 51713, 54316, 51509, 50962, 56846, 50962, 51690, 50962, 51713, 53383, 51509, 50880 ]

[ 0, 713, 765, 5175, 2214, 11, 272, 538, 1575, 10, 20535, 2810, 9, 17465, 102, 6, 32909, 6, 8, 326, 5638, 18026, 6, 7513, 30, 21072, 4, 590, 10, 20889, 9, 9680, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 3344, 9, 2635, 8, 2933, 6711, 29, 6, 19, 17878, 9, 11098, 10686, 13, 822, 50, 177, 2369, 36546, 4, 20, 33215, 16739, 83, 406, 6, 211, 406, 6, 272, 6, 83, 406, 6, 211, 406, 2092, 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 ]

[ 58375, 51744, 50993, 51866, 50824, 52194, 50824, 55184, 50824, 53257, 50824, 53257, 50824, 53867, 64381, 51509, 51973, 51579, 50993, 55679, 58329, 58329, 60739, 51744, 50881, 50607, 52057, 51509, 50993, 54885, 50824, 53257, 50824, 53257, 50824, 53779, 63058, 51579, 52116, 51744, 50993, 54552, 58329, 58329, 70216, 51485, 50881, 50605, 50803, 63355, 50802, 52384, 50802, 51866, 50802, 55184, 50802, 53257, 50824, 53867, 54107, 52039, 50823, 54552, 68562, 65514, 52039, 50823, 54552, 55996, 52039, 50823, 54552, 59184, 52190, 52057, 52039, 50802, 54552, 50802, 53257, 50824, 53779, 63058, 51579, 52116, 52039, 68562, 66395, 51898, 56250, 52298, 57239, 53779, 50803, 63355, 50824, 55184, 50824, 53257, 50824, 53867, 54107, 57216, 50824, 55938, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 55184, 50824, 57216, 58329, 70216, 51579, 50881, 50605, 50803, 50799, 52314, 50993, 52148, 51009, 52194, 51009, 55448, 50824, 53257, 50824, 53867, 64381, 51509, 51973, 52314, 50993, 54885, 58329, 60739, 51485, 50881, 50607, 52057, 51509, 50824, 51702, 50824, 53084, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 52039, 68562, 66395, 51898, 56250, 52298, 57239, 53779, 50803, 63355, 50824, 55184, 50824, 53257, 50824, 53867, 54107, 57216, 50824, 55938, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50824, 55005, 50824, 53257, 50824, 53779, 54145, 51744, 50824, 57216, 50824, 55938, 58329, 70216, 53779, 50803, 64934, 50824, 52194, 50824, 55679, 50824, 62383, 50824, 53257, 50824, 53867, 54107, 52067, 50824, 52194, 50824, 55495, 50824, 54885, 58329, 60739, 52190, 52057, 53147, 50993, 52488, 50993, 53192, 50993, 54552, 50824, 53257, 50824, 53779, 63058, 51579, 52116, 52039, 68562, 66395, 51898, 56250, 52298, 57239, 53779, 50803, 63355, 50824, 55679, 50824, 53257, 50824, 53867, 54107, 57216, 50824, 55938, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 55184, 50824, 57216, 58329, 70216, 51579, 50881, 50605, 50803, 50799, 52314, 50993, 52148, 51009, 52194, 51009, 55448, 50824, 53257, 50824, 53867, 64381, 51509, 51973, 52314, 50993, 54885, 58329, 60739, 51485, 50881, 50607, 52057, 51509, 50824, 51702, 50824, 53084, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 55216, 58329, 66395, 51744, 56250, 51485, 57239, 53779, 50803, 63355, 50824, 53942, 51009, 53257, 50824, 53867, 54107, 52384, 50824, 51866, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50993, 51866, 50824, 54552, 50824, 53257, 50824, 53779, 63058, 51744, 52116, 51485, 50824, 51866, 50824, 53084, 50824, 61438, 58329, 70216, 53779, 50803, 63355, 51009, 52384, 51009, 51866, 51009, 55184, 50824, 53257, 50824, 53867, 54107, 54552, 58329, 60739, 52190, 52057, 52629, 50993, 53572, 50993, 53459, 50993, 53942, 50824, 53257, 50824, 53779, 63058, 51579, 52116, 52039, 68562, 66395, 51898, 56250, 52298, 57239, 53779, 50803, 63355, 50824, 55184, 50824, 53257, 50824, 53867, 54107, 57216, 50824, 55938, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 55184, 50824, 57216, 58329, 70216, 51579, 50881, 50605, 50803, 50799, 52314, 50993, 52148, 51009, 52194, 51009, 55448, 50824, 53257, 50824, 53867, 64381, 51509, 51973, 52314, 50993, 54885, 58329, 60739, 51485, 50881, 50607, 52057, 51509, 50824, 51702, 50824, 53084, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 52039, 68562, 66395, 51898, 56250, 52298, 57239, 53779, 50803, 63355, 50824, 55184, 50824, 53257, 50824, 53867, 54107, 57216, 50824, 55938, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50824, 55005, 50824, 53257, 50824, 53779, 54145, 51744, 50824, 57216, 50824, 55938, 58329, 70216, 53779, 50803, 64934, 50824, 52194, 50824, 55679, 50824, 62383, 50824, 53257, 50824, 53867, 54107, 52067, 50824, 52194, 50824, 55495, 50824, 54885, 58329, 60739, 52190, 52057, 53147, 50993, 52488, 50993, 53192, 50993, 54552, 50824, 53257, 50824, 53779, 63058, 51579, 52116, 52039, 68562, 66395, 51898, 56250, 52298, 57239, 53779, 50803, 63355, 50824, 55679, 50824, 53257, 50824, 53867, 54107, 57216, 50824, 55938, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 55184, 50824, 57216, 58329, 70216, 51579, 50881, 50605, 50803, 50799, 52314, 50993, 52148, 51009, 52194, 51009, 55448, 50824, 53257, 50824, 53867, 64381, 51509, 51973, 52314, 50993, 54885, 58329, 60739, 51485, 50881, 50607, 52057, 51509, 50824, 51702, 50824, 53084, 50824, 54552, 50824, 53257, 50824, 53779, 54145, 55216, 58329, 66395, 51744, 56250, 51485, 57239, 53779, 50803, 63355, 50824, 53942, 51009, 53257, 50824, 53867, 54107, 52384, 50824, 51866, 58329, 60739, 52067, 50881, 50607, 52057, 51579, 50993, 51866, 50824, 54552, 50824, 53257, 50824, 53779, 63058, 51744, 52116, 51485, 50824, 51866, 50824, 53084, 50824, 61438, 58329, 70216, 53779, 50803, 63355, 51009, 52384, 51009, 51866, 51009, 55184, 50824, 53257, 50824, 53867, 54107, 54552, 58329, 60739, 52190, 52057, 52629, 50824, 53572, 50824, 53459, 50824, 53942, 50824, 53257, 50824, 53779, 54145, 51431, 56972, 54098, 52298, 54934, 53779, 50803, 50799, 51898, 50824, 53994, 50824, 53257, 50824, 53867, 54107, 51431, 50824, 55679, 58329, 60739, 52190, 52057, 51509, 50824, 55184, 50824, 53257, 50824, 53779, 54145, 52067, 50824, 55936, 58329, 70216, 53779, 50803, 65578, 50823, 51866, 51184, 52194, 51184, 54552, 51352, 57216, 51300, 53257, 50824, 53867, 50824, 50419, 51579, 56733, 51579, 54107, 51335, 60739, 79430, 55448, 50881, 50607, 52057, 51744, 50824, 55184, 50824, 53257, 50824, 53779, 54145, 51744, 50993, 54552, 58329, 70216, 80080, 57216, 50881, 50605, 50803, 64996, 50993, 52148, 51009, 52194, 51009, 55448, 51009, 53257, 50824, 53867, 64381, 51744, 51973, 51509, 50993, 51335, 60739, 51744, 50881, 50607, 52057, 51485, 51300, 51702, 51300, 53084, 51300, 54552, 50824, 53257, 50824, 53779, 54145, 55216, 50993, 51335, 70216, 51641, 50803, 58524, 50881, 50605, 50803, 67659, 50993, 53942, 50993, 53257, 50824, 53867, 64381, 51641, 50803, 58524, 51973, 51744, 50993, 53942, 50993, 51335, 60739, 79430, 54885, 50881, 50607, 52057, 51579, 50824, 57538, 50824, 53257, 50824, 53779, 54145, 51431, 50823, 53942, 68562, 66395, 51431, 50823, 54885, 56250, 52298, 50823, 57538, 57239, 53779, 50803, 50799, 51898, 50824, 53994, 50824, 53257, 50824, 53867, 54107, 51431, 50824, 55679, 58329, 60739, 52190, 52057, 51509, 50824, 55184, 50824, 53257, 50824, 53779, 54145, 52067, 50824, 55936, 58329, 70216, 53779, 50803, 65578, 50823, 51866, 51184, 52194, 51184, 54552, 51352, 57216, 50824, 53257, 50824, 53867, 73354, 51579, 56733, 51579, 53537, 51579, 50993, 57216, 50993, 51335, 60739, 79430, 55448, 50881, 50607, 52057, 51744, 51300, 55184, 50824, 53257, 50824, 53779, 54145, 54552, 58329, 70216, 80080, 57216, 50881, 50605, 50803, 50799, 52314, 50823, 52148, 51009, 52194, 51009, 55448, 51009, 53257, 50824, 53867, 73354, 52314, 56733, 52314, 53537, 52314, 50993, 51335, 60739, 51744, 50881, 50607, 52057, 51485, 50993, 52698, 50993, 52194, 50993, 54885, 50824, 53257, 50824, 53779, 63058, 52067, 52116, 51579, 50993, 52148, 50824, 52194, 50824, 55448, 58329, 70216, 52314, 50881, 50605, 50803, 65578, 50802, 51866, 50802 ]

[ 0, 250, 1372, 8, 19448, 3495, 2214, 4246, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 4, 20, 2214, 16, 11, 204, 73, 306, 86, 6543, 8, 34, 10, 33215, 16739, 9, 3676, 6, 381, 6, 1918, 6, 3676, 6, 8, 163, 119, 1176, 406, 4, 85, 18, 10, 765, 2214, 14, 7630, 6568, 6453, 9, 657, 6, 11926, 6, 8, 7125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52012, 58187, 51131, 50943, 50986, 50943, 50998, 56389, 61447, 65868, 50998, 55247, 61447, 65868, 69164, 65309, 60324, 51131, 51003, 76338, 50998, 56509, 61447, 65868, 50998, 55247, 73077, 66860, 70700, 65309, 51097, 51292, 72599, 76338, 50998, 56509, 66860, 70700, 51032, 77069, 65868, 50998, 57414, 51076, 50905, 65309, 51097, 51076, 72440, 76081, 50998, 55965, 71311, 70439, 50947, 73006, 66860, 70700, 65309, 60324, 51317, 51003, 50998, 51003, 50947, 57937, 51317, 50981, 70700, 51064, 57105, 51317, 50981, 70700, 50947, 50995, 60533, 51097, 50929, 68537, 51131, 50943, 50960, 56389, 51131, 50995, 70642, 50970, 51677, 50450, 73077, 69432, 60533, 54869, 51131, 51003, 50960, 56509, 61447, 64226, 50970, 51477, 50450, 61447, 50960, 57414, 77661, 65962, 50932, 50998, 54644, 51136, 53172, 50998, 54100, 50947, 54233, 51032, 52122, 50444, 51076, 56697, 50947, 53581, 77661, 65962, 50932, 50998, 55126, 51136, 53770, 50998, 53387, 50970, 53913, 50960, 55200, 51311, 54323, 51846, 54509, 60419, 65309, 51097, 51131, 58187, 76081, 70699, 50947, 55965, 51574, 50995, 65868, 69164, 50947, 55247, 51725, 50995, 66860, 70700, 50947, 50981, 51057, 52012, 50995, 66860, 70700, 50947, 50981, 51057, 50947, 51477, 50432, 71886, 61108, 50995, 50929, 72599, 51311, 50914, 50970, 55965, 51311, 50915, 50970, 55247, 51311, 50995, 78349, 61108, 73318, 51169, 54335, 50947, 53387, 51076, 55306, 50929, 51445, 50444, 50970, 53562, 50960, 54509, 66906, 65309, 51097, 50929, 55277, 50426, 51207, 50943, 50986, 56389, 72103, 66860, 50998, 77307, 72103, 66860, 63133, 58187, 61447, 50986, 54975, 80145, 51032, 50918, 51292, 72044, 50929, 53082, 51032, 52121, 50456, 51438, 50845, 61108, 51097, 51292, 68537, 56745, 51076, 52424, 64226, 51076, 50915, 51067, 73006, 64226, 51076, 50915, 61108, 60726, 50929, 53478, 50426, 51078, 55544, 50970, 53913, 78349, 51076, 50995, 51292, 69830, 74376, 51076, 58667, 51067, 50892, 61080, 50932, 51032, 52337, 50426, 50998, 51003, 50929, 64164, 70700, 50929, 77307, 69164, 50929, 51717, 73934, 58187, 64226, 50998, 57937, 69432, 50998, 57105, 69432, 70700, 62954, 50981, 50998, 55382, 66860, 70700, 50947, 51692, 50438, 66860, 50998, 57105, 51846, 50995, 61108, 58326, 76079, 50929, 68116, 50970, 51003, 50929, 77307, 51504, 50995, 50929, 51047, 65962, 50995, 50929, 52121, 50426, 76081, 70699, 51032, 52250, 50438, 65868, 50998, 55247, 51574, 51097, 58700, 58187, 74175, 70804, 50947, 57937, 52028, 50995, 50947, 57991, 51136, 50889, 51078, 50889, 50947, 50981, 61108, 50981, 50947, 55041, 50929, 78046, 51078, 54342, 50929, 52122, 50438, 50947, 53999, 51076, 55125, 51032, 53454, 50456, 79749, 61108, 50995, 51292, 51692, 50426, 70804, 51076, 53912, 74376, 51076, 57105, 69916, 51076, 50915, 51067, 50995, 61080, 50995, 70439, 51032, 52096, 50438, 53092, 51097, 51846, 50932, 50970, 50932, 50929, 51801, 65309, 60324, 51131, 50943, 50986, 50943, 50998, 56389, 61447, 65868, 50998, 55247, 73077, 66860, 70700, 65309, 60324, 51131, 51003, 76338, 50998, 56509, 61447, 65868, 50998, 55247, 73077, 66860, 70700, 65309, 50995, 51292, 68537, 76338, 50998, 56509, 65868, 69164, 51032, 52337, 50450, 66860, 50998, 58667, 79751, 65309, 50995, 51076, 72440, 76338, 50998, 56509, 66860, 70700, 50947, 73006, 65868, 69164, 65309, 60324, 51317, 51003, 50998, 51003, 50947, 54498, 51317, 50981, 70700, 51064, 55247, 51317, 50995, 70439, 50947, 50995, 60533, 51097, 50929, 52121, 50426, 51131, 50943, 50960, 56389, 73077, 69432, 50970, 51662, 50450, 61447, 64226, 60533, 54869, 51131, 50943, 50960, 56389, 73077, 69432, 50970, 72044, 61447, 50960, 57414, 77661, 65962, 51097, 50998, 55041, 51136, 53172, 50998, 54100, 50947, 54233, 51032, 52250, 50444, 51076, 54323, 50947, 54509, 71658, 65962, 50995, 50998, 55126, 51136, 53770, 50998, 54100, 50970, 53264, 50960, 55200, 51311, 54323, 51846, 54771, 60419, 65309, 51097, 51131, 58187, 66776, 74313, 50947, 53912, 51574, 50981, 66860, 70700, 50947, 57105, 51725, 51097, 65868, 69164, 68020, 65309, 50995, 66860, 70700, 50947, 50981, 61108, 51097, 50929, 53478, 50426, 69095, 50970, 52424, 51311, 51003, 50970, 57197, 51311, 50915, 69916, 61108, 73318, 51169, 56307, 50947, 53387, 51076, 55306, 50929, 51445, 50444, 50970, 54323, 50960, 54771, 70696, 65309, 50995, 50929, 55408, 50426, 51207, 51003, 50986, 56509, 68986, 65868, 50998, 77307, 68986, 65868, 63133, 60324, 51131, 50943, 50986, 56389, 80145, 51032, 50918, 51292, 72269, 50929, 53082, 51032, 52121, 50456, 51438, 50892, 61108, 51097, 51292, 51244, 65404, 50889, 51076, 53912, 50960, 51003, 51076, 51003, 51067, 51244, 50450, 64226, 51076, 50915, 61108, 73318, 50929, 52826, 50426, 51078, 54100, 50970, 53913, 71932, 51076, 51097, 51292, 58624, 74376, 51076, 58667, 79749, 61080, 51097, 51032, 52121, 50426, 70699, 50929, 64050, 69164, 50929, 69600, 70700, 50929, 52121, 73934, 58326, 64226, 50998, 56656, 69432, 50998, 57105, 64226, 69164, 62954, 50995, 50998, 58326, 76338, 50998, 51003, 50947, 51518, 50438, 65868, 50998, 55247, 51846, 51097, 61108, 58187, 70804, 50929, 68116, 74376, 50929, 73006, 51504, 51097, 50929, 51047, 65962, 50981, 50929, 51717, 50426, 50986, 50943, 50998, 50943, 51032, 52122, 50438, 66860, 50998, 57105, 51574, 51097, 58700, 58326, 74175, 70804, 50947, 56656, 52028, 50995, 50947, 57991, 51136, 50889, 51078, 50889, 50947, 50981, 61108, 50995, 50947, 54644, 50929, 76906, 51078, 54342, 50929, 52121, 50438, 50947, 55945, 51076, 55125, 51032, 52644, 50456, 79749, 61108, 50995, 51292, 51692, 50426, 62768, 51076, 52424, 50970, 51003, 51076, 57197, 74376, 51076, 50981, 51067, 50995, 61080, 50995, 50998, 56656, 53092, 50995, 51846, 51097, 71932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5175, 2214, 19, 10, 2842, 9, 15073, 6, 4246, 10, 20535, 2810, 6, 13305, 6, 6755, 12547, 6, 3459, 9590, 6, 8, 21072, 4, 20, 33301, 30853, 11, 230, 538, 23, 41, 12447, 1001, 20889, 6, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 46336, 4811, 16, 1490, 2115, 5, 40286, 272, 401, 6, 272, 119, 406, 6, 8, 274, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57739, 50438, 51326, 78825, 55920, 50816, 56112, 50816, 50820, 51899, 50930, 54706, 55891, 51224, 54262, 50578, 50882, 50799, 51913, 50950, 52002, 50950, 50871, 70339, 51977, 50877, 51623, 50945, 51745, 51201, 51675, 51690, 52282, 50798, 78053, 51012, 51206, 51059, 51587, 54024, 51963, 50950, 51776, 58609, 52103, 50858, 51713, 55884, 51963, 50882, 51776, 54856, 51913, 59939, 52002, 59939, 51720, 51653, 51262, 67483, 50803, 51536, 51779, 79513, 55886, 63436, 51237, 51587, 52674, 50798, 60831, 50945, 54459, 51271, 58680, 51420, 67549, 52284, 50900, 51653, 50871, 51653, 50877, 51653, 51384, 50932, 54970, 54214, 56505, 51133, 56421, 53960, 54132, 50993, 51587, 57251, 50900, 52266, 50916, 53174, 50861, 53174, 51019, 52512, 51304, 53363, 53506, 55362, 50852, 50911, 51528, 78053, 54449, 51973, 51817, 50993, 51536, 50882, 52395, 50950, 53145, 56701, 79513, 55886, 54132, 51237, 51587, 50882, 56215, 60831, 51019, 50880, 51450, 52938, 67549, 50950, 50440, 51817, 51010, 55513, 51653, 50916, 51653, 50861, 51427, 51271, 53236, 54988, 51817, 62175, 53960, 54132, 50993, 51587, 54403, 50997, 52266, 50956, 53174, 50861, 51486, 51271, 72223, 52227, 51012, 50799, 51963, 50950, 51776, 50950, 50964, 51745, 51394, 51790, 53089, 52282, 50798, 55886, 51012, 51587, 72088, 52103, 50950, 51713, 58609, 52970, 50821, 52099, 54007, 52103, 50821, 51713, 52422, 51963, 52512, 51776, 52512, 51133, 50993, 51262, 50882, 51355, 50950, 51536, 56701, 79513, 55886, 63436, 51237, 51587, 57836, 50964, 51747, 52841, 51133, 54168, 51373, 67549, 55920, 50997, 51427, 50956, 51653, 50861, 51653, 63252, 51304, 50915, 53506, 56001, 54988, 51963, 50882, 51913, 51012, 51776, 50882, 52002, 51012, 50964, 54416, 53960, 54132, 50993, 51587, 52935, 52103, 52379, 51713, 52379, 50997, 51685, 50899, 52827, 50871, 51685, 51186, 51745, 51201, 51151, 51690, 51359, 50852, 50911, 51528, 78053, 54449, 54856, 51186, 51653, 51262, 50882, 51355, 50950, 51536, 56701, 79513, 55886, 54132, 51237, 51587, 57836, 51096, 51730, 52599, 50871, 50841, 50997, 63891, 50858, 51186, 54168, 51582, 67549, 50882, 55513, 51745, 50916, 51059, 50861, 51745, 51186, 61712, 56505, 51133, 52997, 53960, 54132, 50993, 51587, 54403, 51133, 50911, 52723, 51104, 51012, 50799, 51913, 50950, 52002, 50950, 50900, 52282, 50871, 52282, 50877, 51977, 50945, 51226, 51201, 51591, 51690, 51591, 50798, 55886, 51012, 51587, 60845, 51963, 50950, 51776, 58609, 52103, 50882, 51713, 57625, 51963, 50821, 51776, 52422, 51913, 56082, 52002, 56082, 51720, 51653, 51262, 50882, 51355, 50950, 51536, 56701, 79513, 55886, 63436, 51237, 51587, 50950, 56215, 63443, 67518, 51450, 53330, 67549, 50950, 50440, 51271, 51072, 55513, 51160, 50871, 51427, 50877, 51653, 51384, 50915, 54970, 57825, 54988, 51133, 56421, 52516, 54132, 50993, 51587, 54403, 50900, 51941, 50916, 53174, 50861, 52266, 51019, 52512, 51304, 52919, 53506, 54527, 50852, 50911, 51528, 51594, 54449, 54856, 51817, 51072, 51536, 50882, 52395, 50950, 53145, 56701, 56675, 55886, 54132, 51237, 51587, 57836, 51019, 52589, 54181, 51817, 54168, 51373, 67549, 50882, 55513, 50991, 50916, 51653, 50861, 51160, 51271, 51520, 56505, 52103, 51012, 51713, 51012, 51817, 62175, 53960, 54132, 50993, 51587, 54403, 51906, 50950, 52366, 50950, 50997, 52266, 50956, 53174, 50861, 52266, 51271, 51483, 76381, 51012, 50799, 51683, 51116, 52306, 51116, 50964, 51745, 51811, 51358, 59269, 64253, 53960, 51012, 51587, 54856, 51683, 51012, 52306, 51012, 51133, 51653, 51262, 50821, 51355, 50950, 51536, 54092, 79513, 55886, 63436, 51237, 51587, 53917, 51913, 51029, 52002, 51029, 50435, 50964, 51730, 53415, 51133, 54451, 51373, 67549, 55920, 50997, 51427, 50956, 51653, 50861, 51427, 51133, 51012, 51384, 50914, 54970, 54214, 54988, 52719, 51012, 51648, 51012, 50964, 56155, 52516, 54132, 50993, 51587, 54403, 52103, 51184, 51713, 51184, 50997, 51977, 50899, 52827, 50871, 52282, 74186, 51394, 55844, 53089, 53259, 50852, 50911, 51528, 52516, 54449, 56519, 51186, 51160, 51262, 50882, 51355, 50950, 51536, 54092, 79513, 55886, 54132, 51237, 51587, 64917, 51096, 53393, 52841, 50997, 61441, 69857, 50800, 51186, 54168, 53330, 67549, 50950, 55513, 51745, 50916, 51745, 50861, 51745, 51186, 50860, 52531, 50966, 54988, 51133, 62175, 56429, 51052, 54132, 50993, 51587, 53532, 50816, 57251, 51133, 50911, 52531, 50966, 58052, 51012, 54578, 70339, 51977, 50877, 51623, 50945, 51745, 50798, 78053, 51012, 51206, 51237, 51587, 51973, 51720, 51653, 51262, 67483, 50803, 51536, 50803, 58417, 56701, 79513, 55886, 63436, 51237, 51587, 52119, 58417, 53660, 50798, 60831, 50945, 54459, 51271, 51072, 58417, 54168, 51420, 67549, 52284, 50900, 51653, 50871, 51653, 50877, 51653, 58417, 55195, 56505, 51133, 51012, 55750, 56701, 53960, 54132, 50993, 51587, 57251, 50900, 52266, 50916, 53174, 50861, 53174, 51019, 52512, 55594, 58052, 50911, 50799, 52998, 54168, 78053, 54449, 52244, 52998, 51631, 51817, 50993, 51536, 50882, 52395, 50950, 53145, 50950, 55594, 56421, 79513, 55886, 54132, 51237, 51587, 53917, 52998, 51235, 56215, 60831, 51019, 50880, 51450, 52938, 67549, 50950, 50440, 51817, 51010, 55513, 51653, 50916, 51653, 50861, 51427, 51271, 53236, 54988, 51817, 62175, 53960, 54132, 50993, 51587, 54403, 50997, 52266, 50956, 53174, 50861, 51486, 51271, 72223, 52227, 51012, 52534, 51745, 50798, 55886, 51012, 51587, 50950, 50421, 58417, 56800, 51133, 50993, 51262, 50882, 51355, 50950, 51536, 50950, 52998, 52997, 79513, 55886, 63436, 51237, 51587, 53917, 52998, 61023, 50964, 51747, 52841, 51133, 54168, 51373, 67549, 68749, 52998, 60159, 50997, 51427, 50956, 51653, 50861, 51653, 63252, 52998, 53235, 50882, 50449, 52998, 53938, 50964, 54416, 53960, 54132, 50993, 51587, 64380, 53907, 54896, 50997, 51685, 50899, 52827, 50871, 51685, 51186, 51745, 55594, 51483, 50852, 50911, 51528, 78053, 54449, 77287, 55594, 52247, 51186, 51653, 51262, 50882, 51355, 50950, 51536, 56701, 79513, 55886, 54132, 51237, 51587, 68315, 55750, 62019, 52998, 51735, 50435, 51096, 51730, 52599, 50871, 50841, 50997, 63891, 50858, 51186, 54168, 51582, 67549, 50882, 55513, 51745, 50916, 51059, 50861, 51745, 51186, 61712, 75728, 55750, 63758, 51133, 52997, 53960, 54132, 50993, 51587, 54403, 51133, 50911, 58417, 51237, 52723, 51104, 51012, 53975, 52282, 50871, 52282, 50877, 51977, 50945, 64418, 55886, 51012, 51587, 54856, 51720, 51653, 51262, 50882, 51355, 50950, 51536, 50950, 58417, 52997, 79513, 55886, 63436, 51237, 51587, 56896, 58417, 53660, 50798, 63443, 50945, 54362, 58417, 53393, 53330, 67549, 50950, 50440, 51271, 51072, 55513, 51160, 50871, 51427, 50877, 51653, 58417, 51730, 54988, 51133, 51012, 55750, 56701, 52516, 54132, 50993, 51587, 54403, 50900, 51941, 50916, 53174, 50861, 52266, 51019, 52512, 55594, 54984, 50911, 50799, 52998, 54168, 51594, 54449, 55446, 52998, 52247, 51817, 51072, 51536, 50882, 52395, 50950, 53145, 50950, 55594, 56701, 56675, 55886, 54132, 51237, 51587, 53917, 52998, 51427, 50435, 51019, 52589, 54181, 51817, 54168, 51373, 67549, 50882, 55513, 50991, 50916, 51653, 50861, 51160, 51271, 50803, 55750, 55195, 56505, 51817, 51138, 55594, 51779, 53960, 54132, 50993, 51587, 54403, 50997, 52266, 50956, 53174, 50861, 52266, 51271, 51483, 52998, 51012, 76381, 51012, 52534, 51745, 55594 ]

[ 0, 250, 8787, 3495, 15229, 278, 11, 230, 3694, 6, 42, 2125, 7630, 6568, 10, 25306, 8, 3722, 5466, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 13305, 1239, 5, 483, 6, 32971, 19448, 8, 15352, 30054, 2301, 14, 1994, 7, 12049, 9, 657, 4, 20, 46336, 4811, 16, 1490, 2115, 5, 3222, 5785, 227, 5, 274, 406, 8, 163, 428, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 52206, 51297, 50416, 51085, 52134, 50417, 52206, 51297, 50418, 51085, 79786, 52206, 51297, 50422, 51085, 52134, 50423, 52206, 51297, 50424, 51085, 72769, 52206, 51297, 50428, 51085, 52134, 50429, 52206, 51297, 50430, 51085, 72605, 52206, 51297, 50434, 51085, 52134, 50435, 52206, 51297, 50436, 51085, 52134, 50438, 52206, 54731, 50308, 53126, 50314, 53126, 50316, 51333, 50440, 51085, 52134, 50441, 52206, 51297, 50442, 51085, 76373, 52206, 51297, 50446, 51085, 52134, 50447, 52206, 51297, 50448, 51085, 73792, 52206, 54731, 50308, 53096, 50906, 53096, 50876, 52034, 50452, 51085, 52134, 50453, 52206, 51297, 50454, 51085, 69249, 52206, 51297, 50458, 51085, 52134, 50459, 50626, 52206, 54731, 50308, 51022, 50906, 51022, 71089, 50460, 51085, 52134, 57530, 52206, 54731, 50309, 51703, 50906, 51703, 50902, 51447, 50416, 51085, 52134, 50417, 52206, 51297, 50418, 51085, 79786, 52206, 51297, 50422, 51085, 52134, 50423, 52206, 51297, 50424, 51085, 72769, 52206, 51297, 50428, 51085, 52134, 50429, 52206, 51297, 50430, 51085, 72605, 52206, 51297, 50434, 51085, 52134, 50435, 52206, 51297, 50436, 51085, 52134, 50438, 52206, 54731, 50311, 77418, 52845, 50320, 51108, 50440, 51085, 52134, 50441, 52206, 51297, 50442, 51085, 76373, 52206, 51297, 50446, 51085, 52134, 50447, 52206, 51297, 50448, 51085, 71841, 52206, 54731, 50311, 52460, 50906, 52460, 50968, 51645, 50452, 51085, 51851, 50453, 52206, 51297, 50454, 51085, 71736, 52206, 51297, 50458, 51085, 79440, 50627, 52206, 54731, 50311, 50907, 69195, 57910, 50460, 51085, 51851, 56103, 52206, 54191, 50313, 51314, 50876, 51314, 50931, 51244, 50416, 51085, 51851, 50417, 52206, 51128, 50418, 51085, 73094, 52206, 73192, 51085, 51851, 50423, 52206, 77679, 51085, 73274, 52206, 51128, 50428, 51085, 51851, 50429, 52206, 51128, 50430, 51085, 67494, 52206, 70301, 51085, 51851, 50435, 52206, 51128, 50436, 51085, 70511, 50628, 52206, 52666, 50314, 78172, 74826, 50915, 50440, 51085, 51297, 50441, 52206, 74965, 51085, 60226, 52206, 64529, 51085, 63491, 52206, 68656, 51085, 60801, 52206, 68917, 75514, 52019, 50322, 51003, 50452, 51085, 51128, 50453, 52206, 68357, 51085, 60272, 52206, 62298, 51085, 68248, 52206, 68358, 51085, 51128, 61628, 78176, 78172, 74826, 51003, 50416, 51085, 79754, 52206, 71045, 51085, 58387, 52206, 68684, 51085, 64367, 52206, 69156, 51085, 57203, 50627, 52206, 69666, 75514, 52019, 50322, 52019, 50325, 51003, 50428, 51085, 68364, 52206, 64408, 51085, 60838, 52206, 64248, 51085, 66129, 52206, 64359, 51085, 51703, 50438, 50627, 52206, 52212, 50876, 71278, 71946, 51741, 50326, 56508, 50629, 52357, 57622, 51062, 53820, 52357, 56569, 50627, 77670, 57530, 52357, 62479, 50626, 50951, 51534, 51081, 51203, 50435, 50625, 66735, 50999, 52691, 50627, 50876, 51447, 50951, 51244, 50450, 50629, 52357, 55371, 51062, 55346, 52357, 56573, 50627, 51062, 50984, 50799, 52357, 62666, 50951, 52034, 51081, 51172, 50435, 50627, 71427, 50999, 64704, 50629, 62204, 53164, 50323, 52454, 50340, 58573, 51062, 60466, 52357, 58068, 51062, 51123, 50449, 50629, 50450, 50630, 50931, 52845, 50325, 51517, 50340, 66379, 51062, 60004, 52357, 62065, 51062, 51123, 57739, 50876, 52454, 50323, 52019, 50340, 62311, 51062, 55740, 52357, 55054, 51062, 76785, 50630, 50426, 50631, 50931, 52454, 50325, 52019, 50340, 54889, 51062, 55100, 52357, 53720, 51062, 53269, 50631, 50876, 65300, 51741, 50328, 52826, 52357, 52826, 50450, 50632, 51120, 67119, 51003, 54458, 51085, 62447, 54243, 50632, 51324, 52454, 50303, 56509, 50631, 51085, 52454, 50304, 57197, 50631, 51234, 52026, 50302, 51003, 57739, 51279, 52026, 50301, 50914, 50416, 50629, 50417, 50629, 50419, 50629, 50420, 50629, 50422, 50629, 50423, 50629, 50425, 50629, 50426, 50629, 51214, 71169, 78958, 50629, 50429, 50629, 50430, 50629, 50432, 50629, 50433, 50628, 50435, 50628, 50436, 50628, 50437, 50628, 50438, 50633, 51247, 51490, 51050, 51145, 77920, 50877, 51244, 50876, 51145, 50931, 51103, 50439, 50631, 54458, 51085, 51490, 50900, 51145, 50861, 51244, 50876, 51145, 50968, 64050, 50631, 51214, 51703, 51026, 51148, 50861, 51244, 50973, 51148, 50902, 51127, 54458, 51085, 51490, 50900, 51145, 50861, 51244, 50876, 51145, 50968, 64050, 50632, 51279, 51490, 51027, 51145, 77920, 77113, 56236, 51234, 52845, 50302, 60138, 51244, 50906, 51145, 50902, 69027, 50631, 51279, 53164, 50301, 56656, 50631, 51214, 51703, 51026, 51148, 50861, 51244, 50906, 51145, 50968, 51127, 61791, 51247, 52136, 51050, 51310, 50871, 51477, 50877, 51477, 50876, 51310, 50931, 71378, 50631, 50871, 52440, 50876, 52147, 50999, 52147, 51062, 52147, 51339, 51703, 56236, 50899, 53801, 50902, 52440, 50999, 53055, 51146, 53055, 51339, 52147, 74482, 50916, 52440, 50876, 52212, 50951, 52147, 51062, 51703, 54458, 50871, 52212, 50876, 51490, 50999, 51703, 51062, 51447, 50438, 50632, 50871, 78181, 51490, 50931, 51703, 50999, 67303, 50632, 50861, 52454, 50326, 52011, 54458, 50877, 52147, 50876, 51703, 50931, 52212, 51062, 51490, 74482, 50861, 52147, 50902, 52212, 50931, 52147, 51081, 51703, 57448, 50877, 55812, 51028, 53577, 50968, 53280, 50999, 52136, 50438, 50632, 50899, 53164, 50318, 78504, 51490, 50999, 51080, 55895, 53164, 50316, 51330, 55435, 51490, 50906, 75575, 51490, 51081, 51490, 51146, 67608, 50632, 51086, 51447, 50973, 51244, 50931, 51314, 50951, 51314, 51146, 51244, 56236, 50900, 51447, 50876, 51244, 50968, 51080, 50951, 51080, 51062, 65680, 50632, 51040, 51080, 51028, 51148, 50951, 51080, 50999, 51080, 51430, 51145, 56236, 50899, 51447, 50902, 51244, 50931, 51080, 50999, 51080, 51146, 51145, 51339, 64488, 50632, 50861, 51490, 50951, 51517, 50327, 51080, 51146, 73006, 50630, 50931, 51108, 57128, 50876, 52136, 50968, 51637, 50951, 51477, 51062, 66744, 50627, 51120, 51145, 50439, 50627, 51027, 51314, 50440, 50626, 50899, 51244, 50871, 51749, 50441, 50626, 50877, 51749, 50442, 50625, 50902, 51535, 50931, 51535, 50443, 50627, 50449, 50628, 50450, 50633, 58402, 51279, 51447, 51027, 51145, 50916, 75656, 66743, 51148, 50968, 64164, 50624, 51234, 51148, 50439, 50625, 51050, 51447, 50440, 50625, 50997, 51145, 50899, 51535, 50441, 50626, 50871, 51627, 50442, 50626, 50906, 51562, 50902, 51535, 50443, 50626, 50450, 50634, 56236, 51247, 51447, 51050, 79304, 51244, 71578, 72734, 50876, 64345, 51966, 51490, 51378, 51148, 50899, 51244, 72734, 50902, 51127, 54458, 51214, 51447, 51026, 51145, 50899, 51244, 65218, 50906, 55973, 50877, 54975, 50630, 52206, 51447, 51085, 77132, 68184, 51047, 50861, 66563, 50629, 50997, 50981, 50799, 50620, 51247, 50841, 51027, 50959, 50900, 57911, 68381, 50619, 51085, 76226, 50620, 51050, 56231, 51027, 51172, 50418, 50620, 50900, 51642, 50419, 50620, 50871, 51481, 50420, 50620, 50877, 58092, 50876, 59136, 50620, 50931, 53899, 50999, 59768, 50620, 50931, 58964, 50876, 52670, 50620, 51050, 58245, 50621, 50900, 66518, 50621, 50871, 55028, 50877, 60443, 50621, 50876, 59277, 50931, 53031, 50621, 50999, 57107, 50621, 51062, 59347, 50621, 51339, 54288, 50621, 51814, 58316, 50620, 51339, 57352, 50620, 51062, 53040, 50621, 50871, 55698, 50621, 50876, 63442, 50621, 50931, 55262, 50621, 50999, 58655, 50621, 51062, 58616, 51339, 53162, 50621, 51814, 57460, 52357, 56892, 50621, 52956, 54368, 55738, 58321, 50621, 52956, 56918, 52357 ]

[ 0, 250, 15855, 15229, 19, 10, 25306, 27456, 6, 42, 765, 2125, 16, 17407, 30, 63, 1769, 20889, 8, 381, 3694, 762, 4, 20, 6755, 12547, 1239, 5, 483, 6, 2800, 30, 5, 4066, 23225, 9, 5, 9590, 3863, 6, 1515, 21305, 6, 2342, 4467, 6, 8, 38668, 22052, 4, 590, 10, 16331, 33215, 16739, 9, 163, 406, 6, 3676, 6, 1918, 401, 6, 8, 3676, 6, 24, 7630, 6568, 10, 1472, 9, 9066, 2821, 16235, 326, 25963, 19, 15073, 8, 3722, 5581, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 63515, 70321, 51029, 51301, 51029, 51301, 51029, 52091, 52512, 54807, 51029, 59813, 51552, 60856, 61511, 51154, 51010, 51154, 51010, 51154, 51010, 51821, 51045, 53448, 50962, 55840, 50880, 70321, 51029, 51301, 51029, 51301, 51029, 52091, 52097, 54807, 51552, 59813, 51496, 50432, 51154, 51010, 51154, 51045, 51154, 51045, 51821, 50894, 53448, 50930, 55840, 50890, 70321, 50824, 51301, 50824, 51301, 51237, 52091, 51054, 54807, 51054, 59813, 62945, 51154, 50949, 51154, 50962, 51154, 50962, 51821, 50930, 53448, 50930, 55840, 54292, 51301, 51054, 51301, 51054, 51301, 51237, 52091, 51090, 54807, 51054, 59813, 61860, 66441, 66441, 51154, 50930, 51821, 50880, 53448, 50880, 55840, 50880, 67004, 51266, 50972, 51266, 50838, 51266, 51212, 52091, 50904, 54807, 50974, 59813, 58671, 52091, 54711, 51201, 50837, 51201, 51126, 51201, 51000, 51821, 50978, 53448, 57559, 51201, 54317, 51266, 50937, 51266, 51242, 51266, 51242, 52091, 50829, 54807, 50892, 57921, 55863, 52091, 54854, 51600, 50825, 51600, 50941, 51600, 50904, 52582, 50866, 57478, 55643, 51600, 54728, 51266, 50917, 51266, 51101, 51266, 51101, 52091, 50841, 54807, 51178, 57921, 59397, 52091, 53524, 51629, 50941, 51629, 50886, 51629, 50857, 52398, 50849, 55403, 76173, 51629, 54385, 51266, 50865, 51266, 51121, 51266, 51100, 52091, 50841, 54807, 50917, 57921, 58045, 52091, 53211, 51284, 70528, 50813, 51284, 50862, 51701, 50865, 53941, 54625, 51284, 50855, 73296, 51158, 51266, 51173, 51266, 51173, 52091, 50887, 54807, 51173, 57921, 66802, 52091, 52871, 51558, 50884, 51558, 50840, 51558, 50809, 52252, 50893, 55323, 53467, 51558, 53548, 51266, 50911, 51266, 51192, 51266, 51286, 52091, 50895, 54807, 51286, 57921, 63043, 52091, 57748, 51304, 50961, 51304, 50887, 51304, 50880, 51716, 51033, 53011, 56486, 51304, 55395, 51266, 51505, 51266, 51505, 51266, 51505, 52091, 50930, 54807, 51388, 57921, 62442, 52091, 60224, 51384, 50949, 51384, 50930, 51384, 51010, 52009, 51021, 53827, 60555, 51384, 54755, 51266, 50976, 51266, 50976, 51266, 50975, 52091, 51010, 54807, 50923, 57921, 56353, 52091, 62620, 51811, 51031, 51811, 50811, 51811, 50811, 53034, 50950, 55724, 58561, 51811, 50883, 50799, 51558, 51054, 51733, 51054, 51733, 51237, 54229, 51054, 54850, 51573, 57921, 67566, 51690, 50883, 51690, 50961, 51304, 50890, 53051, 50961, 53011, 50883, 54713, 54292, 51558, 51054, 51733, 51090, 51733, 51237, 54229, 51054, 54850, 51054, 57921, 64466, 51304, 50880, 51690, 50880, 51690, 50930, 53051, 50930, 55323, 50883, 60630, 50880, 50799, 51733, 51054, 51733, 51054, 51558, 51573, 54229, 51237, 54850, 51054, 57921, 67566, 51304, 50930, 52405, 50880, 52405, 50930, 53051, 50858, 53941, 50930, 56847, 54957, 51733, 51237, 51733, 51237, 51558, 51237, 54229, 51054, 54850, 51054, 57921, 64466, 52838, 50930, 52838, 50930, 51811, 50921, 53372, 51033, 55403, 50821, 57980, 50821, 59412, 52838, 51000, 54051, 50874, 52173, 50904, 52857, 54317, 51395, 50904, 52838, 50941, 51304, 50851, 52398, 50851, 53034, 50904, 55403, 50851, 57980, 50912, 52900, 51006, 55132, 51006, 60767, 51174, 55444, 50972, 56177, 50827, 52541, 50851, 51836, 51051, 52541, 50838, 51641, 50907, 51947, 50838, 52377, 51172, 56380, 51961, 50437, 52838, 53980, 51395, 50820, 51304, 50813, 52838, 50867, 52398, 50822, 53034, 50867, 57478, 50959, 66168, 51008, 54051, 50854, 52900, 50844, 55132, 50955, 52173, 50857, 52857, 50857, 50721, 50286, 51008, 58030, 51008, 56177, 50822, 52541, 50822, 52541, 50822, 51836, 50959, 51641, 50822, 51947, 50905, 52698, 50905, 58502, 78876, 52838, 52800, 51395, 50809, 51304, 50809, 52838, 50855, 53034, 50855, 52398, 50855, 53448, 50833, 55840, 50812, 54051, 50800, 52900, 50925, 55132, 50925, 52173, 50862, 52857, 50862, 50721, 50286, 50987, 58030, 50844, 56177, 50810, 52541, 50810, 52541, 50833, 51836, 50925, 51641, 50833, 51947, 50873, 52698, 50873, 58502, 78971, 52838, 50858, 50799, 52838, 50858, 51107, 52208, 51558, 51469, 52252, 51413, 52009, 51285, 53448, 51173, 55840, 51173, 55639, 51045, 53958, 51264, 53767, 51359, 51900, 51036, 54063, 51036, 53712, 50952, 58764, 50910, 52541, 52266, 53339, 51696, 52601, 51696, 51702, 51173, 53175, 51655, 53994, 51173, 65620, 72088, 52487, 50833, 52487, 50833, 65620, 50930, 50419, 54635, 54681, 52838, 50887, 54807, 51100, 59813, 51100, 50721, 50284, 50854, 58391, 50854, 53808, 50893, 51744, 50879, 52384, 51215, 57538, 50849, 65620, 50930, 50421, 52838, 65291, 55639, 53467, 52487, 50855, 52487, 50855, 65620, 50962, 50425, 52838, 50887, 54635, 52329, 52838, 50887, 53448, 51060, 55840, 51060, 58764, 50859, 53712, 50859, 51702, 51111, 53994, 51158, 65620, 58860, 55639, 75980, 52487, 58511, 52487, 50855, 65620, 65838, 52838, 50809, 54635, 62941, 52838, 50809, 55639, 50890, 65620, 56629, 54807, 51100, 59813, 51100, 50721, 50284, 50833, 58391, 50833, 53808, 50879, 51744, 50795, 52384, 51060, 57538, 67502, 52487, 50855, 52487, 60085, 54635, 50887, 65620, 56356, 52838, 50880, 52838, 60958, 55639, 50887, 65620, 57784, 52487, 53813, 52487, 50840, 52252, 51417, 52009, 51291, 53448, 50893, 55840, 50806, 54635, 50809, 58764, 50859, 53712, 50859, 51702, 51111, 53994, 51192, 65620, 50930, 50440, 52838, 50887, 52838, 50887, 55639, 54790, 65620, 67760, 52487, 50836, 52487, 50890, 54635, 59586, 65620, 57736, 52838, 50961, 52838, 50961, 54807, 50840, 59813, 50840, 55639, 50809, 50721, 50284, 50897, 58391, 50897, 53808, 50948, 51744, 50938, 52384, 51158, 57538, 50893, 50446, 52487, 50880, 52487, 50930, 54635, 50809, 65620, 51010, 50448, 52838, 50961, 52838, 50949, 55639, 50836, 65620, 79738, 54635, 55268, 52487, 50949, 54648, 51192, 55791, 51192, 53712, 50948, 53157, 50948, 51702, 51158, 53994, 51192, 65620, 72638, 52487, 50961, 55639, 50890, 50452, 52838, 50962, 52838, 62172, 52487, 50882, 54635, 50890, 65620, 78563, 52487, 50821, 55639, 75336, 52838, 50930, 52838, 50962, 65620, 57701, 54850, 51158, 57921, 51158, 54635, 50962, 58391, 50809, 54670, 50800, 53808, 50893, 51744, 50795, 52384, 50952, 57538, 51175, 50457, 52405, 50894, 52405, 50950, 65620, 71310, 55639, 58561, 52838, 50882, 50460, 52838, 50821, 53297, 51030, 65620, 74380, 52487, 50962, 55639, 50930, 50799, 52487, 50840, 51266, 50914, 51304, 50914, 51716, 51013, 53941, 50923, 56847, 50849, 54635, 51012, 52900, 51255, 52614, 51255, 51784, 51159, 52515, 50914, 63875, 50873, 54536, 50873, 52196, 50896, 51836, 50807, 52196, 51009, 51898, 51870, 51947, 51016, 52384, 51013, 52148, 51870, 55679, 51566, 55117, 51237, 50437, 53084, 61287, 53339, 51054, 52298, 51054, 50449, 52194, 64466, 51836, 51090, 51431, 51090, 50461, 52171, 51095, 53084, 51761, 77351, 50910, 51284, 50830, 51690, 50910, 51690, 50830, 51113, 51048, 51284, 51048, 52009, 50889, 53879, 51158, 53941, 51215, 58942, 51111, 56847, 51095, 52614, 51003, 53958, 51241, 51802, 50807, 52515, 50943, 57184, 50845, 53013, 50845, 55308, 51215, 52196, 51235, 53339, 51761, 52298, 51761, 52058, 51290, 51702, 51016, 54885, 51541, 55117, 51653, 50432, 51898, 51138, 50433, 52196, 50882, 52148, 55381, 52196, 51552, 51898, 51300, 52148, 51552, 50461, 52614, 50914, 52900, 50943, 52148, 51009, 64554, 50812, 51113, 50859, 51266, 50897, 51266, 50952, 51304, 50917, 51304, 50924, 51093, 51227, 51284, 51227, 51266, 51290, 51701, 51060 ]

[ 0, 250, 2635, 12, 20764, 15855, 2125, 4246, 3551, 139, 6, 21711, 102, 6, 24896, 6, 8, 6755, 12547, 6, 7630, 14805, 10, 1472, 9, 4149, 8, 9733, 4, 8504, 11, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 22848, 10, 33215, 16739, 9, 163, 119, 6, 274, 10431, 6, 8, 272, 401, 6, 442, 24, 41, 5631, 2564, 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 ]

[ 57528, 50456, 52130, 50845, 77630, 50845, 54817, 55392, 54358, 52826, 58873, 53478, 61593, 52826, 51088, 52826, 51357, 53478, 51266, 52826, 50420, 53020, 53172, 53020, 53387, 52142, 53264, 51951, 53999, 53058, 53562, 52130, 54771, 51967, 50892, 77630, 55041, 53058, 53770, 51951, 54100, 52142, 53913, 53020, 50915, 54302, 51490, 59558, 51080, 58873, 51244, 63312, 51244, 51491, 51080, 51357, 51244, 51395, 51244, 50456, 52130, 50845, 77630, 50905, 54817, 52151, 54358, 51445, 58873, 51445, 61593, 51449, 51088, 51445, 51357, 51445, 51266, 74818, 53020, 53770, 53020, 54100, 52142, 53913, 51951, 55200, 53058, 54058, 52130, 54771, 51967, 50892, 77630, 50845, 59878, 51108, 59558, 50932, 58873, 52222, 50693, 50322, 51097, 51491, 50932, 51357, 52222, 51600, 73318, 53058, 55035, 51951, 50901, 58083, 51466, 55724, 51097, 63312, 51097, 51426, 51097, 51395, 61271, 53258, 55306, 53020, 51003, 59878, 51283, 59558, 51318, 50693, 50322, 51283, 51491, 51318, 51600, 51283, 50456, 52780, 50808, 50799, 52780, 50849, 53485, 51313, 55851, 50845, 61276, 50915, 70369, 71534, 50892, 51182, 50981, 51304, 60115, 52142, 78868, 55769, 50974, 51113, 53770, 53020, 50849, 61593, 50974, 62724, 50974, 51266, 50892, 51284, 54100, 52780, 50849, 58873, 50974, 50693, 50322, 50974, 50693, 50327, 50974, 51357, 50905, 51600, 50905, 51558, 54137, 53258, 50901, 55851, 50974, 61276, 50974, 70369, 50974, 75491, 78041, 51304, 55103, 55034, 50849, 61593, 50974, 50693, 50327, 50974, 50693, 50332, 50974, 51266, 50905, 51558, 50905, 51733, 54323, 53020, 50849, 58873, 50974, 50693, 50322, 50974, 50693, 50327, 50974, 51357, 50892, 51600, 50892, 51558, 54771, 52142, 50812, 71802, 50849, 54302, 51047, 54358, 50905, 57440, 50905, 61276, 50905, 69435, 77473, 51182, 55126, 52130, 50849, 54850, 50905, 58873, 50905, 61593, 50905, 51301, 50905, 51357, 50905, 51266, 54335, 53058, 50849, 59558, 50905, 70774, 50905, 50693, 50322, 50905, 51491, 50905, 51488, 50905, 51600, 54342, 51951, 50849, 54358, 50905, 57440, 50905, 61276, 50905, 51088, 50974, 51107, 50974, 51182, 56298, 52142, 51124, 56824, 51097, 59558, 50995, 61593, 50995, 62724, 50995, 51491, 51097, 51266, 51097, 51284, 59124, 51951, 53586, 52142, 50812, 50799, 53020, 50914, 54302, 51314, 54850, 51159, 58873, 51162, 61276, 51124, 50693, 50327, 51162, 51301, 51159, 51357, 51162, 51182, 51124, 51558, 69706, 53020, 50854, 54850, 50812, 58873, 50812, 61276, 50812, 50693, 50327, 71132, 51357, 50812, 76537, 51558, 52749, 53020, 50810, 54850, 50849, 58873, 50849, 61276, 50849, 50693, 50327, 66110, 50849, 51357, 50849, 51182, 50849, 51558, 52841, 53020, 50943, 53304, 53055, 55323, 50914, 55769, 50914, 50693, 50322, 50914, 62724, 51124, 52065, 50914, 51113, 50914, 51600, 50914, 51284, 67081, 52142, 50849, 62724, 50849, 51284, 67070, 55323, 50849, 55769, 50849, 50693, 50322, 50849, 52065, 50849, 51113, 50849, 51600, 53702, 51951, 50901, 53941, 50849, 54358, 50849, 61593, 51124, 61276, 50849, 51883, 73239, 50849, 51266, 51124, 51182, 50849, 77630, 51790, 54388, 51592, 54807, 51145, 54850, 51047, 61593, 51189, 52830, 51148, 51301, 51127, 51266, 51218, 50415, 58873, 51103, 51357, 68076, 61276, 50812, 51182, 56274, 50693, 50322, 50812, 51600, 53627, 61593, 50849, 51266, 54233, 50693, 50327, 50812, 51558, 58935, 61276, 50833, 51182, 54207, 62724, 51218, 51284, 79961, 53058, 55874, 51951, 52955, 52142, 50812, 50799, 53020, 51124, 54302, 51145, 54850, 51221, 58873, 51221, 61276, 51221, 50693, 50327, 51221, 51301, 51203, 51357, 51203, 51182, 51203, 51558, 73969, 53258, 50805, 58873, 50833, 61276, 50833, 50693, 50327, 50833, 54850, 50833, 51357, 50810, 74597, 51558, 50810, 51301, 52658, 55034, 50805, 54850, 50833, 58873, 50833, 61276, 50833, 50693, 50327, 50833, 51301, 50810, 51357, 50810, 74597, 51558, 52729, 53020, 50889, 53304, 51244, 55323, 51221, 55769, 51221, 50693, 50322, 51221, 62724, 51221, 52065, 51203, 51113, 51203, 51600, 51203, 51284, 76015, 52142, 50849, 55323, 50849, 55769, 50849, 50693, 50322, 50849, 62724, 50849, 52065, 50845, 51113, 50845, 51600, 50845, 51284, 53586, 51951, 50901, 53941, 50849, 54358, 50849, 61593, 50849, 61276, 50849, 51883, 50845, 67298, 51266, 50845, 51182, 50845, 77630, 51003, 54388, 51592, 54807, 51662, 54850, 51486, 58873, 51486, 61593, 51486, 52830, 51939, 51301, 51422, 51357, 51422, 51266, 68988, 51967, 50812, 50693, 50327, 50812, 51558, 55730, 52130, 50812, 62724, 50812, 51284, 52658, 53058, 50812, 61276, 51103, 51182, 51047, 50435, 51951, 52841, 52142, 68862, 52249, 50849, 76140, 55099, 52780, 55035, 52780, 50873, 50692, 50333, 50893, 59624, 54454, 50693, 50324, 54454, 50693, 50333, 54454, 51375, 54454, 51629, 54454, 51690, 54454, 50432, 54113, 50845, 50692, 50331, 56529, 50692, 50329, 52599, 54236, 50873, 61642, 62079, 63482, 54746, 51951, 50849, 61275, 51798, 52249, 50849, 55253, 55345, 52994, 50845, 56078, 51238, 53448, 50845, 51887, 50845, 76140, 50845, 53011, 51310, 51299, 71215, 51951, 50805, 56078, 54588, 56078, 53049, 54236, 50805, 61275, 50858, 55403, 51645, 52316, 52460, 50429, 61642, 53911, 54113, 50805, 63482, 51196, 55403, 50838, 52316, 69783, 53011, 50827, 51299, 54793, 52780, 50889, 53155, 51627, 54296, 51627, 54358, 51080, 61276, 51080, 50693, 50332, 51080, 51699, 52263, 51638, 52263, 51088, 51447, 51182, 51447, 51733, 51447, 50456, 52780, 62533, 56623, 51255, 50799, 53155, 50943, 54648, 50943, 56991, 60413, 52780, 50854, 50692, 50333, 56346, 52780, 50901, 56595, 50805, 50692, 50336, 51054, 55403, 50943, 59624, 50943, 55851, 50943, 52316, 50914, 51375, 50914, 51093, 56217, 54113, 50901, 54231, 56529, 57715, 53415, 54236, 50805, 55264, 50845, 50692, 50333, 52512, 54296, 50943, 56991, 50943, 70774, 50943, 51638, 50914, 51165, 50914, 51488, 56157, 51951, 52596, 52249, 50805, 53554, 50806, 53011, 51124, 55851, 50914, 63312, 51124, 51299, 51124, 51093, 50914, 51395, 66704, 52994, 50805, 53159, 53848, 54917, 50854, 76140, 50845, 54971, 50991, 61642, 50879, 54648, 50849, 55851, 50849, 70369, 77364, 50849, 71545, 51304, 55099, 51951, 50901, 63482, 50800, 54850, 50808, 56991, 50808, 78637, 50808, 51301, 50812, 65477, 51394, 52710, 54236, 50808, 63482, 50849, 54850, 50849, 56991, 50849, 78637, 50849, 51301, 50849, 77951, 51394, 53308, 56929, 50873, 53554, 50805, 50692, 50333, 50879, 59624, 50873, 59885, 50873, 50693, 50333, 50873, 51375, 50849, 51201, 50849, 51690, 53470, 52780, 51241, 54231, 51218, 50692, 50331, 51235, 54850, 51417, 55851, 51218, 70369, 51218, 51301, 51413, 51093, 51189, 51304, 51189, 50447, 50692, 50329, 52741, 61642, 53312, 56212, 51100, 50799, 56212, 50849, 59624, 50943, 59885, 50943, 50693, 50329, 50943, 51375, 50943, 51201, 50943, 51905, 50943, 50421, 54113, 53466, 54648, 50943, 70774, 50943, 78637, 50943, 51154, 50943, 51488, 50943, 51394, 75725, 52780, 68233, 56212, 53470, 56078, 50879, 54358, 50943, 63312, 50943, 70369, 51241, 78580, 51395, 50943, 51304, 51241, 50439, 56929, 53969, 58083, 65756, 56623, 53562, 57153, 50991, 55724, 51221, 55851, 50943, 50693, 50324, 51221, 51426, 51221, 51093, 50943, 51629, 51221, 50451, 52780, 71248, 54113, 50845, 50799, 53011, 50873, 55851, 50873, 59885, 50873, 75191, 51093, 50873, 51201, 77921, 54236, 76882, 50692, 50329, 51835, 54296, 50873, 56991 ]

[ 0, 713, 17627, 17274, 3495, 3152, 2214, 6, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 22750, 1626, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 20, 3459, 8, 21979, 29589, 6, 13305, 6, 8, 3152, 6757, 1962, 1572, 7, 1045, 10, 11577, 2369, 6, 150, 5, 18558, 22, 46909, 29, 113, 1606, 10, 2842, 9, 12298, 9450, 6, 442, 24, 10686, 13, 2365, 50, 1619, 9629, 4, 20, 2125, 11498, 41, 20425, 12447, 1001, 20889, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50415, 50634, 50796, 57315, 53595, 50843, 50949, 57752, 52870, 50843, 52265, 52286, 50879, 50437, 53008, 55395, 51664, 50879, 51224, 50817, 53525, 52616, 51451, 57321, 55354, 50816, 53595, 51322, 79871, 55891, 51256, 53238, 51031, 52354, 50917, 51164, 51112, 50885, 51112, 73484, 74161, 51229, 51655, 51334, 51655, 51425, 50987, 51223, 50987, 53583, 52885, 56621, 66062, 51425, 50844, 51223, 50844, 58139, 51164, 50959, 60180, 58518, 56955, 51425, 50987, 51195, 66610, 55232, 69235, 51164, 50878, 67693, 50872, 60303, 50878, 51425, 50844, 51223, 50844, 51960, 53357, 50897, 51164, 51112, 50885, 51112, 73484, 74161, 51425, 50955, 51223, 50955, 59530, 63636, 51425, 50955, 51223, 50955, 59848, 72493, 58079, 58518, 56955, 51425, 50955, 51195, 66610, 55843, 50945, 74049, 51112, 71531, 70084, 74161, 51425, 50844, 51223, 50844, 51983, 50799, 51229, 51158, 51334, 51294, 51425, 50955, 51223, 50955, 58538, 50945, 74049, 50942, 50885, 65451, 50862, 56105, 51209, 51158, 51425, 50955, 51223, 50955, 61236, 51164, 50955, 62783, 60942, 59027, 51256, 50952, 51425, 50955, 51195, 63250, 55232, 69235, 51164, 50925, 74232, 57896, 66552, 51256, 51896, 51334, 51896, 51425, 50844, 51223, 50844, 52105, 53357, 50917, 51164, 51112, 71531, 70084, 74161, 51425, 50955, 51223, 50955, 59530, 63636, 51425, 50955, 51223, 50955, 51320, 53068, 50927, 74049, 51112, 50885, 50967, 70084, 74161, 51425, 50844, 51195, 66610, 55843, 69161, 51425, 50844, 51223, 50844, 52105, 53596, 50917, 51037, 51112, 67288, 70084, 50939, 50991, 51209, 51013, 51408, 51013, 52447, 50955, 51425, 50955, 53583, 52302, 51096, 50897, 52447, 50844, 51425, 50955, 58139, 51037, 50959, 55315, 58518, 50939, 50959, 51256, 51215, 51408, 51215, 52447, 50844, 51368, 63250, 55232, 51096, 50897, 51037, 50942, 63245, 56684, 72744, 52447, 50844, 51425, 50844, 69837, 51096, 50897, 51037, 50991, 50848, 51112, 73484, 50939, 51112, 52447, 50844, 51425, 50955, 59530, 69240, 51256, 51013, 51408, 51013, 52447, 50844, 51425, 50955, 59848, 51037, 50955, 55688, 56992, 66249, 51451, 51158, 52447, 50844, 51368, 63250, 55843, 51096, 69964, 50991, 50848, 51112, 70084, 50939, 51112, 52000, 51364, 52447, 50844, 51425, 50844, 51983, 50799, 52447, 50844, 51425, 50955, 58538, 51096, 51100, 51037, 59529, 50854, 50872, 50862, 60799, 52447, 50844, 51425, 50844, 61236, 51037, 50987, 57767, 61395, 74798, 52447, 50844, 51368, 63250, 55232, 51096, 50917, 51037, 50925, 61995, 62038, 70848, 52447, 50857, 51425, 50844, 52105, 53758, 50897, 51037, 51112, 50848, 51112, 73484, 50939, 51112, 52447, 50955, 51425, 50955, 59530, 66482, 51334, 50952, 51893, 50952, 52447, 50844, 51425, 53948, 50898, 53068, 51105, 50917, 51037, 50967, 50848, 50967, 78871, 50939, 50967, 51334, 50952, 51893, 50952, 52447, 50844, 51368, 66610, 55843, 73491, 51334, 50859, 51893, 50952, 52447, 50844, 51425, 55475, 50837, 52354, 50917, 51164, 51112, 50885, 51112, 73484, 74161, 51390, 51013, 51893, 51073, 51425, 50955, 51223, 50955, 53583, 52885, 56621, 63636, 51425, 50955, 51223, 50955, 58139, 51164, 50844, 50885, 51233, 56992, 55853, 51334, 51158, 51893, 50879, 51425, 50955, 51195, 63250, 55232, 50945, 74049, 50942, 50872, 58434, 50942, 51425, 50844, 51223, 50844, 69837, 51186, 69964, 50865, 61325, 68651, 50939, 50830, 51229, 51158, 51334, 50879, 51436, 50955, 51262, 50955, 59530, 51186, 50917, 51037, 51377, 74434, 50872, 51221, 50939, 51221, 51209, 50879, 51436, 50955, 51262, 50955, 59848, 51256, 50924, 51334, 50924, 51436, 50955, 51250, 66610, 55843, 51186, 69964, 50977, 67102, 62039, 72744, 51256, 51294, 51334, 51294, 51436, 50844, 77394, 51983, 52354, 50917, 51164, 50830, 61781, 50872, 61709, 50830, 51425, 50955, 51223, 50955, 58538, 63636, 51164, 51221, 50885, 51178, 50872, 51221, 70685, 51425, 50844, 51223, 50844, 61236, 51209, 51215, 51334, 51158, 51425, 50955, 51195, 66610, 55232, 50945, 74049, 50977, 65998, 56684, 58752, 51425, 50857, 51223, 50857, 52105, 56107, 51424, 50292, 50830, 50988, 50830, 50885, 65102, 50830, 60001, 69196, 51209, 50924, 51334, 50952, 51915, 50955, 51368, 50955, 59530, 50964, 51424, 50292, 51400, 50988, 51400, 50885, 51400, 50868, 51400, 50847, 51400, 50909, 51400, 51334, 50952, 51915, 50955, 51368, 50955, 52105, 60309, 53068, 52457, 50795, 51322, 50952, 51334, 50952, 51915, 50955, 51265, 63250, 55843, 51831, 68152, 50917, 51332, 50897, 50988, 50897, 50885, 50897, 69230, 65940, 63456, 51256, 56300, 51334, 56300, 51915, 50955, 51368, 55475, 50837, 75799, 63847, 74049, 51112, 50885, 51112, 73484, 74161, 51425, 50987, 51223, 50987, 53583, 52302, 66062, 51425, 50844, 51223, 50844, 58139, 51667, 50983, 51164, 50959, 60180, 58518, 56955, 51425, 50987, 51195, 50987, 56319, 52265, 63636, 51164, 50878, 67693, 50872, 60303, 50878, 51425, 50955, 51223, 50955, 51960, 53357, 50917, 51164, 51112, 50885, 51112, 73484, 74161, 51425, 50955, 51223, 50955, 59530, 51667, 58536, 50917, 51425, 50955, 51223, 50955, 59848, 51667, 59746, 50822, 58079, 58518, 56955, 51425, 50955, 51195, 50987, 56319, 52193, 51667, 63847, 74049, 51112, 71531, 70084, 74161, 51425, 50844, 51223, 53948, 51179, 50891, 50799, 51425, 50955, 51223, 50955, 58538, 51652, 58536, 74049, 50942, 50885, 65451, 50862, 56105, 51425, 50955, 51223, 50955, 58139, 51831, 59746, 50955, 62783, 60942, 59027, 51425, 50955, 51195, 50955, 56319, 52265, 51831, 50983, 69235, 51164, 50925, 74232, 57896, 66552, 51425, 50844, 51223, 50844, 51960, 53357, 50917, 51164, 51112, 71531, 70084, 74161, 51425, 50955, 51223, 50955, 59530, 63636, 51425, 50955, 51223, 50955, 52105, 57703, 50917, 51164, 51112, 50885, 50967, 70084, 74161, 51425, 50987, 51195, 50987, 56319, 52193, 69161, 51425, 50844, 51223, 50844, 51983, 50799, 52457, 50807, 51096, 50917, 51037, 51112, 67288, 70084, 50939, 50991, 52447, 50955, 51425, 50955, 58538, 51096, 50897, 52447, 50844, 51425, 50955, 58139, 51831, 65333, 50959, 55315, 58518, 50939, 50959, 52447, 50844, 51368, 50955, 56319, 52265, 51096, 50897, 51037, 50942, 63245, 56684, 72744, 52447, 50844, 51425, 50844, 69837, 51831, 50807, 51096, 50897, 51037, 50991, 50848, 51112, 73484, 50939, 51112, 52447, 50844, 51425, 50955, 59530, 69240, 52447, 50844, 51425, 50955, 59848, 51831, 56592, 50955, 55688, 56992, 66249, 52447, 50844, 51368, 50955, 56319, 52193, 52832, 50800, 51096, 69964, 50991, 50848, 51112, 70084, 50939, 51112, 52447, 50844, 51425, 50844, 51983, 50459, 54641, 51091, 50799, 52447, 50844, 51425, 50955, 58538, 51096, 51100, 51037, 59529, 50854, 50872, 50862, 60799, 52447, 50844, 51425, 50844, 58139, 51037, 50987, 57767, 61395, 74798, 52447, 50844, 51368, 50955, 56319, 52265, 51096, 50917, 51037, 50925, 61995, 62038, 70848, 52447, 50857, 51425, 50844, 51960, 53758, 50897, 51037, 51112, 50848, 51112, 73484, 50939, 51112, 52447, 50955, 51425, 50955, 59530, 66482, 52447, 50844, 51425, 53948, 50898, 53068, 51721, 50807, 51783, 50889, 51722, 50889, 51612, 50889, 51105, 50917, 51037, 50967, 50848, 50967, 78871, 50939, 50967, 52447, 50844, 51368, 50987, 56319, 52193, 73491, 52447, 50844, 51425, 50844, 51983, 75799, 50918, 51783, 51077, 51584, 51077, 51567, 51077, 63636, 51164, 51112, 50885, 51112, 73484, 74161, 51425, 50857, 51223, 53948, 51392, 52302, 63636, 51425, 50955, 51223, 50955, 58139 ]

[ 0, 713, 5175, 2214, 1575, 10, 11739, 9, 38668, 20535, 6, 20535, 2810, 6, 20535, 483, 6, 2236, 1021, 2678, 29, 6, 8, 3459, 9590, 6, 2351, 10, 15352, 30054, 8, 3366, 219, 5466, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 19446, 13410, 228, 2289, 4, 20, 15229, 25935, 1626, 227, 5, 40286, 83, 8, 272, 401, 6, 8216, 7, 63, 2216, 2369, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52288, 51109, 53367, 50873, 53955, 50805, 52197, 51328, 52924, 50817, 51195, 51210, 50418, 52622, 50422, 59542, 50904, 54962, 50941, 53367, 50904, 53367, 50813, 53955, 50886, 53955, 51559, 50835, 51195, 56295, 52197, 52762, 50927, 55067, 51130, 57834, 52622, 51195, 62692, 59542, 50864, 54962, 50904, 53367, 50886, 53955, 50867, 72830, 51205, 51312, 52197, 50978, 53367, 50849, 53955, 50849, 52924, 60178, 51931, 50446, 59542, 50864, 54962, 50864, 53367, 50886, 53367, 50862, 53955, 50857, 53955, 50855, 67846, 52197, 53057, 51205, 58379, 51392, 56721, 51265, 71105, 51471, 51545, 59972, 53367, 50829, 53955, 50825, 52464, 50837, 59585, 50886, 54962, 50864, 53367, 50886, 51970, 51195, 54529, 52197, 50863, 52534, 51576, 53331, 50874, 52197, 50974, 53367, 51277, 52464, 51100, 52924, 58410, 51223, 68349, 51468, 50422, 59585, 50886, 54962, 50864, 53367, 50886, 52464, 50886, 52464, 50813, 52197, 50886, 53367, 50844, 51983, 51223, 54654, 50964, 59975, 51392, 57834, 52008, 51223, 62692, 59585, 50864, 54962, 50886, 53367, 50857, 52464, 50864, 57974, 51069, 51174, 52924, 57512, 52464, 50937, 52197, 51058, 53367, 50873, 50442, 51205, 50844, 52008, 50446, 79072, 59585, 50864, 54962, 50864, 53367, 50857, 53367, 50862, 52464, 50857, 72556, 52464, 50836, 52197, 54086, 50927, 53832, 51392, 57916, 51205, 56558, 64360, 51265, 51051, 50457, 50927, 51191, 50458, 53367, 50837, 52197, 50837, 59542, 50857, 54962, 50867, 53367, 50857, 53955, 50857, 52464, 56768, 50949, 51545, 50904, 50799, 53367, 50845, 53955, 50873, 52197, 50845, 52924, 50817, 51195, 68349, 52622, 51195, 62488, 59542, 50904, 54962, 50941, 53367, 50904, 53367, 50862, 53955, 50886, 53955, 50862, 51956, 51545, 56237, 52197, 53901, 50927, 50915, 55737, 50817, 51195, 77285, 52622, 50434, 59542, 50864, 54962, 50904, 53367, 50886, 53955, 50867, 51970, 51195, 54728, 51205, 51025, 52924, 57512, 52197, 50987, 53367, 50901, 53955, 50901, 50442, 51931, 50446, 59542, 50864, 54962, 50864, 53367, 50886, 53955, 50857, 53367, 50854, 67846, 53955, 50862, 52197, 52800, 51205, 56744, 51392, 56721, 51265, 71105, 51471, 51545, 59972, 53955, 50834, 52464, 50837, 52197, 50825, 59585, 50886, 54962, 50864, 53367, 50886, 53367, 50857, 51970, 51195, 50851, 52534, 51775, 53367, 50978, 52464, 50938, 52197, 50905, 52924, 50949, 51223, 50851, 50418, 51468, 50422, 52464, 50828, 59585, 50886, 54962, 50864, 53367, 50886, 53367, 50813, 52464, 50886, 52197, 50857, 74199, 51223, 51000, 51302, 51392, 56973, 50964, 51056, 50430, 52008, 50431, 51223, 65627, 59585, 50864, 54962, 50886, 53367, 50857, 52464, 50864, 57974, 51069, 50977, 52464, 50849, 52924, 57512, 53367, 50977, 52197, 50905, 50442, 51205, 50854, 52008, 50445, 50927, 59137, 59585, 50864, 54962, 50864, 53367, 50857, 52464, 50857, 52525, 51331, 54284, 52464, 50839, 53367, 50813, 52197, 50867, 55683, 50976, 57703, 54566, 51392, 56721, 51265, 68243, 51205, 50810, 52086, 52319, 50908, 51545, 62356, 52517, 51388, 50457, 50927, 51362, 50458, 53367, 50829, 52464, 50820, 59542, 50857, 54962, 50867, 53367, 50857, 53955, 50857, 52197, 56669, 50949, 51195, 50851, 50799, 53955, 50849, 52197, 50845, 53367, 51242, 52924, 55534, 52642, 51014, 52456, 60845, 52708, 50807, 50418, 52622, 51195, 68353, 53773, 50993, 50422, 59542, 50904, 54962, 50941, 53367, 50904, 53367, 50867, 53955, 50886, 53955, 50862, 72274, 52197, 52524, 50927, 50995, 55737, 50817, 51195, 51142, 50430, 52622, 50434, 59542, 50864, 54962, 50904, 53367, 50886, 53955, 50867, 51970, 51195, 55666, 51205, 51162, 53367, 51121, 52924, 57512, 53955, 50873, 52197, 50892, 50442, 51931, 50446, 59542, 50864, 54962, 50864, 53367, 50886, 53955, 50857, 67846, 53367, 50857, 53955, 50813, 52197, 52800, 51205, 56744, 51392, 56721, 51265, 51365, 50454, 51471, 51545, 77379, 51195, 65241, 52464, 50837, 52197, 50837, 59585, 50886, 54962, 50864, 53367, 50886, 53367, 50867, 53955, 50867, 51970, 50461, 51223, 50874, 52534, 51253, 53367, 50905, 52464, 50805, 52197, 50974, 52924, 72746, 51468, 50422, 59585, 50886, 54962, 50864, 53367, 50886, 53367, 50813, 52464, 50886, 52197, 50867, 51983, 51223, 56295, 52464, 52870, 50964, 57604, 51392, 57834, 52008, 51223, 56516, 59585, 50864, 54962, 50886, 53367, 50857, 52464, 50864, 51468, 63082, 57512, 51069, 51008, 53367, 50937, 52464, 50937, 52197, 50905, 50442, 51205, 51373, 63157, 50927, 62813, 59585, 50864, 54962, 50864, 53367, 50857, 52464, 50857, 52642, 51739, 54284, 52464, 50828, 53367, 50813, 52197, 50867, 52456, 60972, 53773, 50806, 50449, 52708, 52175, 50927, 53832, 51392, 57916, 51205, 54791, 64360, 52642, 50911, 52456, 50805, 51265, 51051, 50457, 50927, 51362, 50458, 53367, 50835, 52464, 50820, 52197, 50825, 59542, 50857, 54962, 50867, 53367, 50857, 53955, 56768, 50949, 51545, 50851, 50799, 53367, 50892, 53955, 50805, 52197, 50892, 52924, 50817, 51195, 70623, 52517, 51054, 52086, 73354, 52622, 51195, 65173, 59542, 50904, 54962, 50941, 53367, 50904, 53955, 50886, 53955, 50857, 52197, 50886, 53367, 51589, 52712, 50927, 50943, 55737, 50817, 51195, 64755, 52622, 50434, 59542, 50864, 54962, 50904, 53367, 50886, 53955, 50867, 51970, 51195, 65219, 53955, 51212, 52197, 51328, 50438, 51205, 51377, 53367, 50892, 52924, 60178, 51931, 50446, 59542, 50864, 54962, 50864, 53367, 50886, 53367, 50867, 53955, 50857, 53955, 50857, 52197, 50886, 59207, 51205, 55067, 51392, 56721, 51265, 51142, 50454, 51471, 51545, 64126, 51195, 72740, 52464, 50837, 59585, 50886, 54962, 50864, 53367, 50886, 71793, 53367, 50835, 53955, 50837, 52197, 50863, 52534, 51025, 53367, 50905, 52197, 50974, 52924, 50949, 51223, 73821, 52464, 50849, 50418, 51468, 50422, 59585, 50886, 54962, 50864, 53367, 50886, 53367, 50857, 52464, 50886, 52197, 50886, 51983, 51223, 54252, 52464, 52992, 50964, 55067, 51392, 57834, 52008, 51223, 63520, 59585, 50864, 54962, 50886, 53367, 50857, 52464, 50864, 57974, 51069, 50987, 52464, 50873, 52924, 57512, 53857, 50813, 53367, 50866, 52197, 50892, 50442, 51205, 50844, 52008, 50445, 50927, 57993, 59585, 50864, 54962, 50864, 53367, 50886, 53367, 50857, 52464, 50857, 52464, 50813, 52197, 50886, 51842, 57703, 54566, 51392, 50817, 51265, 51210, 50454, 51205, 55190, 50908, 51545, 63652, 50927, 51091, 50458, 59542, 50857, 54962, 50867, 53367, 50857, 53955, 56768, 50949, 51195, 56054, 53367, 50835, 52464, 50834, 52197, 50837, 63733, 55534, 53367, 50845, 53955, 50805, 52197, 50901, 50418, 52622, 51195, 59993, 59542, 50904, 54962, 50941, 53367, 50904, 53955, 50886, 53955, 50857, 54239, 51421, 53868, 53367, 50857, 52197, 50857, 51545, 52580, 50927, 50915, 54239, 53661, 51130, 56973, 51195, 73418, 54340, 50878, 52622, 50434, 59542, 50864, 54962, 50904, 53367, 50886, 53955, 50867, 53138, 51421, 50863, 51195, 54728, 51205, 51400, 53955, 50917, 52924, 57512, 53367, 50977, 52197, 50866, 53138, 50833, 50440, 54175, 51160, 50442, 51931, 50446, 59542, 50864, 54962, 50864, 53367, 50886, 53367, 50857, 53955, 50857, 53955, 50813, 52197, 50867, 59207, 51205, 55067, 51392, 56721, 53138, 50849, 51265, 51210, 50454, 51471, 51545, 66460, 52464, 50837, 59585, 50886, 54962, 50864, 53367, 50886, 54175, 51739, 50863, 51195, 58247, 53367, 50834, 53955, 50829, 52197, 50825, 52534, 51484, 53367, 50978, 52464, 50917, 52197, 50974, 52924, 50949 ]

[ 0, 250, 33928, 8, 11653, 15855, 19834, 1969, 13, 5, 1619, 191, 6, 4246, 10, 20902, 12547, 9, 11006, 4122, 12, 1054, 330, 13305, 6, 2020, 3548, 6, 856, 17993, 6, 21979, 9590, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 6, 42, 765, 2214, 22848, 10, 16331, 33215, 16739, 9, 211, 6, 272, 6, 83, 406, 6, 211, 6, 8, 272, 6, 2351, 10, 32076, 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 ]

[ 57739, 53587, 50821, 52269, 52997, 56092, 53081, 50821, 52449, 52997, 53336, 53546, 50806, 52822, 50806, 53559, 76313, 69831, 53939, 53208, 50806, 53022, 50806, 52239, 50806, 53139, 52420, 54053, 53208, 50806, 53022, 50806, 52239, 50806, 53139, 52420, 54459, 54269, 50806, 53022, 50806, 52239, 50806, 53652, 52420, 54989, 53208, 50806, 52822, 50806, 53139, 76313, 69831, 54411, 53546, 50806, 53022, 50806, 52239, 50806, 53559, 52420, 54647, 53587, 51160, 53022, 50806, 52239, 50806, 52269, 69921, 50880, 51057, 53022, 50806, 52239, 52420, 59630, 53081, 50821, 52449, 53113, 53546, 50806, 53856, 50806, 53559, 80224, 69831, 53939, 53546, 50806, 52822, 50806, 52706, 50806, 53381, 50806, 53559, 52420, 54053, 53081, 50806, 52822, 50806, 52706, 50806, 53381, 50806, 52449, 52420, 50880, 51057, 53587, 50806, 52822, 50806, 52706, 50806, 53381, 50806, 52269, 52420, 54658, 53081, 51274, 55479, 50806, 52449, 51274, 51098, 65907, 53939, 55741, 50806, 52706, 50806, 52239, 52420, 54053, 55741, 50806, 52706, 50806, 52239, 52090, 50880, 51057, 55540, 50821, 52269, 50821, 55402, 52997, 56092, 55725, 50821, 52449, 50821, 56184, 52997, 53336, 60312, 50806, 52822, 50806, 53559, 50806, 59940, 76313, 69831, 53939, 68380, 50806, 53022, 50806, 52239, 50806, 53139, 50806, 61370, 52420, 54053, 68380, 50806, 53022, 50806, 52239, 50806, 53139, 50806, 61370, 52420, 50880, 51057, 50761, 50336, 50806, 53022, 50806, 52239, 50806, 55439, 50806, 65096, 52420, 54658, 50761, 50337, 51160, 54802, 50806, 53652, 51160, 71960, 51160, 51868, 69831, 53939, 53022, 50806, 52239, 50806, 52248, 52420, 57850, 68380, 50821, 53139, 50821, 61370, 52686, 67283, 50806, 53022, 50806, 52239, 50806, 52248, 50806, 52889, 50806, 61607, 52420, 50880, 51057, 60312, 50806, 53022, 50806, 52239, 50806, 52248, 50806, 53559, 50806, 59940, 52420, 54658, 55725, 50806, 52449, 50806, 56184, 50806, 52706, 50896, 53381, 50896, 52248, 50896, 51389, 54214, 53939, 54269, 50806, 53652, 52420, 54053, 55540, 50821, 55402, 50821, 55479, 50806, 52706, 50806, 52495, 64332, 55113, 56486, 56268, 50821, 56590, 50821, 51057, 54269, 50821, 53652, 50821, 55479, 50806, 52706, 50806, 52495, 52420, 56092, 56268, 50821, 56590, 52997, 53336, 55540, 50896, 52822, 50896, 53022, 50896, 55402, 50896, 51150, 50896, 71222, 65209, 52686, 51643, 52997, 55135, 51633, 52997, 50883, 51057, 52113, 50806, 51891, 50806, 53022, 50806, 52269, 50806, 56163, 50896, 52822, 50896, 51461, 54214, 54658, 52372, 60498, 50806, 52239, 52420, 53939, 52372, 50806, 52181, 50806, 51891, 50806, 53022, 50806, 52269, 52420, 54053, 53128, 60498, 50806, 52239, 52420, 50880, 51057, 52372, 50806, 52181, 50806, 51891, 50806, 53022, 50806, 52269, 50806, 56163, 50896, 52822, 50896, 51461, 54214, 54658, 52113, 60498, 50806, 52239, 52420, 53939, 51643, 51160, 52181, 50806, 51891, 50806, 53022, 50806, 52269, 52420, 54053, 51707, 50806, 52239, 52420, 56486, 51633, 50821, 51057, 52113, 50806, 52181, 50806, 51891, 50806, 53022, 50806, 52269, 50806, 56163, 50896, 52822, 50896, 51461, 54214, 54658, 52113, 60498, 50806, 52239, 52420, 53939, 51633, 60843, 50806, 51891, 50806, 52706, 50806, 52269, 50806, 60009, 50896, 53856, 50896, 52419, 54214, 54053, 51643, 50806, 53154, 50806, 53381, 52420, 50880, 51057, 51633, 51274, 60513, 50896, 55479, 50896, 51098, 50896, 51728, 52526, 54658, 52162, 60498, 73297, 50806, 52706, 50806, 52239, 50806, 53388, 52420, 53939, 52162, 60498, 73297, 50806, 52706, 50806, 52239, 50806, 53388, 52090, 54053, 51643, 50821, 52380, 52997, 55135, 51633, 50821, 52833, 52997, 50883, 51057, 52113, 50806, 53625, 50806, 52181, 60498, 50806, 53022, 50806, 52239, 50806, 56163, 50896, 52822, 50896, 51461, 54214, 54658, 52372, 50806, 53610, 50806, 51891, 50806, 52269, 52420, 53939, 52372, 51160, 53610, 51160, 52131, 50806, 51997, 50806, 52495, 50806, 52248, 52420, 54053, 51891, 50806, 52269, 52420, 56486, 53128, 50821, 55499, 50821, 51057, 52372, 50806, 53610, 50806, 52181, 60498, 50806, 53022, 50806, 52239, 50806, 56163, 50896, 52822, 50896, 51461, 54214, 54658, 52113, 50806, 53625, 50806, 51891, 50806, 52269, 52420, 53939, 51643, 51160, 52380, 51160, 52344, 50806, 51997, 50806, 52822, 50806, 52248, 50806, 61946, 50896, 55497, 50896, 51140, 54214, 54053, 51891, 50806, 52269, 52420, 56486, 51633, 50821, 52833, 50821, 51057, 52113, 50806, 53625, 50806, 52181, 60498, 50806, 53022, 50806, 52239, 50806, 60513, 50896, 55479, 50896, 51098, 54214, 54658, 52113, 50806, 53625, 50806, 51891, 50806, 52269, 52420, 53939, 51633, 50806, 52833, 65956, 50806, 52706, 50806, 52239, 50806, 60513, 50896, 55479, 50896, 51098, 54214, 54053, 51633, 50806, 52833, 73297, 50806, 53388, 52420, 50880, 51057, 51643, 51274, 52380, 51274, 56163, 50896, 52822, 50896, 51150, 50896, 51728, 52526, 54658, 52181, 60498, 50806, 51891, 50806, 53022, 50806, 52239, 50806, 52269, 52420, 53939, 52181, 60498, 50806, 51891, 50806, 53022, 50806, 52239, 50806, 52269, 52090, 54053, 53587, 50821, 51643, 52997, 55135, 53081, 50821, 51633, 52997, 50883, 51057, 53546, 50806, 52113, 50806, 52181, 50821, 53022, 50821, 56163, 50896, 52822, 50896, 51461, 54214, 59630, 51707, 50821, 52239, 53113, 53208, 50806, 52372, 50806, 51891, 50821, 52269, 52997, 56299, 51707, 50821, 52239, 52422, 53208, 50806, 52372, 50806, 52181, 50821, 53022, 52997, 57850, 51891, 50821, 52269, 52686, 54269, 50806, 53128, 50806, 52131, 50821, 51997, 50821, 52495, 50821, 52248, 52997, 56486, 51891, 50821, 52269, 50821, 51057, 53208, 50806, 52372, 50806, 52181, 50821, 53022, 50821, 56163, 50896, 52822, 50896, 51461, 54214, 59630, 51707, 50821, 52239, 53113, 53546, 50806, 52113, 50806, 51891, 50821, 52269, 52997, 56299, 51707, 50821, 52239, 52422, 53587, 51160, 51643, 51160, 52181, 50821, 53022, 52997, 57850, 51707, 50821, 52239, 52686, 51891, 50821, 52269, 52997, 56486, 53081, 50821, 51633, 50821, 51707, 50821, 52239, 50821, 51057, 53546, 50806, 52113, 50806, 52181, 50821, 53022, 50821, 56163, 50896, 52822, 50896, 51461, 54214, 59630, 51707, 50821, 52239, 53113, 53546, 50806, 52113, 50806, 51891, 50821, 52269, 52997, 56299, 51707, 50821, 52239, 52422, 53081, 50806, 51633, 60843, 50821, 52706, 50821, 56163, 50896, 53856, 50896, 51273, 54214, 57850, 53154, 50821, 53381, 52686, 53587, 50806, 51643, 50806, 51891, 50821, 52269, 52997, 56486, 53154, 50821, 53381, 50821, 51057, 53081, 51274, 51633, 51274, 52162, 50821, 52706, 50821, 60513, 50896, 55479, 50896, 51098, 50896, 51728, 52526, 59630, 51707, 50821, 52554, 50821, 52239, 50821, 53388, 53113, 52554, 50821, 52146, 50821, 53388, 50821, 52449, 52997, 56299, 51997, 50821, 51891, 50821, 52248, 50821, 52269, 52422, 51707, 50821, 52554, 50821, 52239, 50821, 53388, 52589, 57850, 52131, 50821, 51997, 50821, 52495, 50821, 52248, 52686, 51643, 50821, 56187, 50821, 52181, 50821, 51707, 50821, 53022, 50821, 52239, 52997, 55135, 51633, 50821, 56167, 50821, 52162, 50821, 52131, 50821, 52706, 50821, 52495, 52997, 50883, 51057, 52113, 50806, 58166, 50806, 52181, 50821, 53022, 50821, 56163, 50896, 52822, 50896, 51150, 54214, 59630, 51707, 50821, 52239, 53113, 52372, 50806, 55291, 50806, 51891, 50821, 52269, 52997, 56299, 51707, 50821, 52239, 52422, 52372, 50806, 55291, 50806, 52181, 50821, 53022, 52997, 57850, 51891 ]

[ 0, 713, 15352, 30054, 5175, 2214, 6, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 3136, 23, 41, 178, 5285, 20889, 4, 20, 3459, 8669, 6, 13602, 6757, 6, 21072, 6, 38668, 483, 6, 8, 36075, 8669, 11739, 561, 7, 1045, 10, 19448, 648, 20425, 5466, 4, 13231, 5, 2125, 6, 5, 40286, 230, 8, 272, 7230, 5705, 6, 10584, 10, 1472, 9, 30234, 8, 31657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 70513, 56683, 51451, 51022, 51366, 50978, 51209, 50977, 53046, 52829, 62059, 50911, 53808, 50911, 50416, 58899, 52121, 54676, 51400, 53205, 51124, 55561, 51101, 50419, 57302, 51286, 52334, 51286, 50420, 69671, 77618, 50851, 51451, 50959, 50421, 57457, 51204, 50425, 55561, 50866, 56825, 50800, 52039, 61408, 60710, 52699, 50800, 51133, 51362, 77627, 56606, 50823, 51366, 50907, 51209, 50822, 51451, 52835, 50432, 66871, 51475, 69369, 50851, 51451, 50942, 53205, 51290, 55561, 51413, 55045, 51054, 56591, 50884, 51431, 51054, 51485, 50884, 75282, 53187, 56683, 51451, 52167, 57457, 50974, 50439, 51366, 50878, 51209, 58937, 69671, 77618, 50851, 51451, 51008, 54676, 51345, 53205, 51048, 56591, 50911, 51485, 75819, 51133, 51138, 51382, 60710, 52699, 50800, 51451, 54060, 51366, 50937, 51209, 50910, 51271, 50923, 57457, 50805, 55045, 51012, 51431, 51012, 57688, 54178, 50801, 50844, 80106, 50851, 51451, 51162, 51817, 50921, 55561, 50795, 51755, 51049, 53187, 56683, 52286, 52222, 51720, 51407, 57533, 51991, 55561, 51576, 53952, 51013, 53256, 50807, 57302, 51505, 52334, 51505, 50415, 51664, 53142, 51229, 50878, 51256, 55085, 69671, 77618, 50851, 59410, 50918, 56825, 51388, 52039, 51388, 50421, 51451, 50959, 50425, 55846, 50859, 51898, 50859, 51302, 51907, 52516, 51475, 52699, 50800, 51451, 51269, 64150, 51229, 50937, 55561, 50933, 53782, 50822, 80106, 50851, 51451, 50810, 53256, 51157, 55561, 51417, 55045, 50824, 51431, 50824, 75282, 53187, 56683, 51256, 50878, 51229, 50854, 51451, 68937, 53256, 53892, 53952, 51095, 56591, 51158, 51485, 73374, 69671, 77618, 50851, 51451, 50810, 51720, 50938, 50449, 55045, 51388, 51431, 51388, 51382, 60710, 52699, 51907, 50823, 51256, 50942, 51451, 51851, 51229, 50862, 51817, 51111, 59410, 61327, 50801, 50844, 80106, 50851, 51451, 50830, 51271, 50937, 55561, 71704, 51206, 52311, 58091, 50911, 51744, 50911, 51755, 51049, 53187, 56683, 51830, 53010, 52733, 52121, 51366, 50833, 51451, 50857, 51133, 51933, 58899, 50967, 54676, 50859, 53205, 50858, 55561, 56025, 51209, 59182, 51209, 51175, 51366, 51238, 50420, 69671, 77618, 50851, 51451, 51043, 54676, 51175, 53205, 51167, 55561, 51175, 51683, 50949, 51776, 50949, 51888, 50949, 58091, 51352, 51744, 51352, 53283, 52801, 51776, 50962, 51888, 50962, 51683, 50880, 53354, 80048, 53929, 51388, 51302, 51907, 52516, 51475, 52699, 50800, 51830, 52720, 58899, 52140, 51888, 51045, 51776, 51014, 51683, 51033, 50431, 51451, 58672, 66871, 51475, 69369, 50851, 51776, 50949, 51683, 50961, 51888, 50883, 53354, 65174, 55561, 51477, 50435, 51683, 51021, 51888, 51138, 51776, 51138, 50437, 53929, 50820, 75282, 53187, 56683, 51451, 52101, 51366, 51008, 51209, 50878, 53354, 56484, 53929, 50962, 50442, 51683, 50961, 51888, 50961, 51776, 50949, 53354, 50839, 53929, 57736, 69671, 77618, 50851, 51451, 50854, 54676, 51095, 53354, 58500, 51683, 50894, 51888, 50950, 51776, 50803, 53929, 56312, 53354, 66119, 53929, 50880, 51382, 52279, 60710, 52699, 50800, 51366, 50822, 51209, 50854, 57457, 51233, 51683, 51066, 51888, 50993, 51776, 50993, 53354, 60376, 53929, 54139, 53354, 56210, 50801, 50844, 80106, 50851, 51451, 50810, 61967, 55561, 78970, 53283, 51300, 51755, 51049, 53187, 56683, 51366, 50844, 51209, 50812, 51451, 52134, 51133, 53241, 58899, 52069, 55561, 51377, 53205, 50896, 57302, 50923, 52334, 50923, 68151, 51388, 50419, 57457, 51141, 56825, 51192, 52039, 51192, 60507, 51388, 50420, 69671, 77618, 50851, 51451, 66659, 55561, 50866, 55846, 50917, 51898, 50917, 60531, 50858, 51302, 60710, 52699, 50800, 51366, 50810, 51209, 50862, 51451, 51129, 57773, 51010, 53782, 50822, 80106, 50851, 51451, 50854, 55561, 51346, 53205, 51235, 56482, 50839, 55846, 50820, 55045, 51346, 51723, 50839, 51898, 50820, 51431, 51346, 64679, 51072, 75282, 53187, 56683, 51366, 50854, 51209, 50812, 51451, 51128, 57457, 53024, 50442, 67932, 50923, 54141, 54390, 50812, 54659, 77618, 50851, 51451, 50878, 55561, 51194, 54676, 51290, 56591, 51012, 51485, 51012, 50449, 55045, 50821, 51431, 50821, 64679, 51014, 51382, 51907, 67705, 52699, 50800, 51366, 50822, 51209, 50833, 51451, 51319, 50451, 57457, 51100, 50452, 56591, 50930, 51485, 50930, 67932, 63695, 50801, 50844, 80106, 50851, 51451, 50878, 61635, 55561, 51294, 55045, 52379, 51431, 52379, 64679, 51407, 50461, 51206, 51585, 51755, 51049, 53187, 56683, 51366, 50854, 51451, 50912, 51209, 50812, 51133, 53174, 58899, 51077, 52892, 51427, 50418, 55668, 58100, 55462, 54031, 69671, 77618, 50851, 51451, 50955, 57457, 51400, 55668, 61710, 55462, 63655, 55668, 50895, 55462, 50836, 51302, 60710, 52699, 50800, 51366, 50822, 79529, 55561, 50855, 52892, 50884, 55668, 50795, 57773, 50811, 51451, 51693, 50429, 55561, 50948, 52892, 65846, 66871, 51475, 69369, 50851, 51451, 50810, 54505, 50923, 50436, 55561, 50818, 52892, 50818, 75282, 53187, 56683, 51366, 50878, 51209, 50833, 52892, 51030, 55561, 50936, 50439, 51451, 51297, 58899, 51346, 53929, 59779, 54505, 69824, 53929, 53041, 69671, 77618, 50851, 51451, 50822, 55561, 50828, 52892, 50884, 54505, 57000, 53929, 54926, 55561, 50865, 52892, 50924, 54505, 61576, 53929, 50846, 51382, 56106, 60710, 52699, 50800, 51366, 50854, 51133, 50879, 58899, 50977, 54505, 57905, 51209, 50812, 53929, 50873, 50454, 52892, 50921, 55561, 59465, 50801, 50844, 80106, 50851, 51451, 50836, 50953, 51021, 50457, 58899, 50833, 53354, 50923, 50460, 55846, 51505, 51898, 51505, 50461, 53093, 50976, 55669, 54109, 51049, 53187, 56683, 54244, 52136, 52286, 51283, 52000, 50854, 51322, 50938, 51256, 50938, 74186, 54476, 50824, 53952, 50824, 58588, 51294, 55745, 51066, 50419, 56482, 50923, 51723, 50923, 52339, 57487, 69671, 77618, 50851, 52000, 65992, 57533, 51337, 50424, 55846, 50923, 51898, 50923, 50425, 53093, 51012, 51302, 51907, 51052, 51475, 52699, 50800, 51322, 50833, 51256, 50808, 55745, 65469, 52000, 62627, 51186, 51030, 55846, 50982, 56825, 51735, 51898, 50982, 52039, 51735, 53266, 53566, 50801, 50822, 80106, 50851, 51366, 51345, 51209, 51345, 51451, 51203, 55561, 51603, 54676, 51653, 50437, 51133, 51745, 75282, 53187, 56683, 51830, 51330, 53046, 51801, 58899, 51423, 50442, 53093, 51483, 50443, 55561, 51160, 53205, 51379, 55846, 51354, 51898, 51354, 50444, 69671, 77618, 50851, 51451, 50942, 51382, 51907, 51052, 51475, 52699, 50800, 51366, 50833, 51209, 50808, 51451, 50857, 58899, 74799, 51133, 51030, 54864, 51407, 65095, 50844, 80106, 50851, 51451, 50937, 53952, 51496, 53256, 51364, 55561, 51091, 58969, 54055, 54595, 54055, 50461, 51206, 51941, 50945, 51013, 57533, 51933, 51755, 51049, 53187, 56683, 51664, 56599, 51451, 51123, 52286, 53142, 51256, 50937, 51229, 64754, 53283, 54711, 50804, 54390, 50812, 54659, 77618, 50851, 51451, 50955, 59410, 50981, 51713, 50818, 52002, 50846, 51683, 59043, 53354, 54477, 52002, 50880, 51713, 50930, 75364, 53283, 59095, 53354, 62239, 53283, 50880, 51302, 51907, 67705, 52699, 50800, 55561, 51419, 52002, 51030, 51713, 51030, 51683, 50938, 50427, 51451, 52514, 51256, 50822, 51229, 50827, 53354, 56925, 50804, 53669, 56558, 51475, 69369, 50851, 50945, 51354, 52892, 50991, 51683, 50818, 51776, 50883, 51888, 61251, 51451, 50844, 52594, 50930, 51683, 50865, 51888, 50921, 51776, 50936, 50437, 50804, 51010, 75282, 53187, 56683, 59410, 51121 ]

[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 230, 3694, 6, 4246, 10, 2933, 648, 15352, 30054, 16464, 4, 85, 18, 278, 11, 10, 204, 73, 306, 86, 6543, 19, 41, 12447, 1001, 20889, 9, 9680, 13410, 228, 2289, 6, 8, 6308, 10, 881, 33215, 16739, 9, 230, 119, 6, 12608, 6, 2060, 6, 230, 119, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 50931, 50809, 52128, 50809, 52128, 50809, 51050, 60692, 57722, 50800, 56143, 57061, 51147, 51835, 50871, 50809, 51487, 50809, 51487, 50809, 51050, 51631, 50876, 50809, 51339, 50809, 51339, 52359, 50871, 71914, 50809, 51050, 51646, 50931, 52510, 50871, 50809, 51050, 51798, 50951, 50809, 52128, 50809, 52128, 52485, 50871, 50809, 51487, 50809, 51487, 50809, 51050, 50795, 62856, 50809, 51339, 50809, 51339, 50809, 51050, 60692, 57722, 50800, 56143, 57061, 51147, 51835, 50871, 50809, 51050, 51631, 50876, 52359, 50871, 71914, 50809, 51050, 51646, 50931, 50809, 51339, 50809, 51339, 52510, 50871, 50809, 51487, 50809, 51487, 50809, 51050, 50830, 64566, 61617, 56251, 60990, 51147, 50830, 51050, 51798, 50951, 50809, 51487, 50809, 51487, 54139, 52128, 50809, 52128, 52485, 50871, 50809, 52052, 50809, 52052, 50809, 51050, 50795, 62856, 50809, 52357, 50809, 52357, 50809, 51176, 63628, 62674, 50800, 56143, 51001, 50800, 51147, 51835, 50965, 50809, 51176, 51631, 51001, 52359, 50965, 50809, 52128, 50809, 51176, 51646, 51001, 52510, 50965, 50809, 51176, 51798, 50876, 50809, 52357, 50809, 52357, 52485, 50965, 50809, 52052, 50809, 52052, 50809, 51176, 50795, 57923, 50809, 52357, 50809, 52357, 50809, 51176, 63628, 62674, 50800, 56143, 51001, 50800, 51147, 51835, 50965, 50809, 51176, 51631, 51001, 52359, 50965, 50809, 52128, 50809, 52357, 50809, 51176, 51646, 51001, 50809, 52357, 52510, 50965, 50809, 52052, 50809, 52052, 50809, 51176, 50830, 50956, 50830, 76251, 56251, 65133, 51147, 50830, 51176, 51798, 51001, 50809, 52128, 50809, 52128, 54139, 51487, 52485, 50965, 50809, 51487, 50809, 52128, 50809, 51176, 50795, 56229, 50809, 51339, 50809, 51339, 50809, 63049, 51040, 62674, 50800, 67243, 57061, 51147, 51835, 51040, 50809, 51360, 51631, 50931, 52359, 51040, 75321, 50809, 51360, 51646, 50931, 52510, 51040, 50809, 51360, 51798, 50951, 50809, 51339, 50809, 51339, 52485, 51040, 50809, 51487, 50809, 51487, 50809, 51360, 50795, 62856, 50809, 52128, 50809, 52128, 50809, 63049, 51040, 62674, 50800, 67243, 57061, 51147, 51835, 51040, 50809, 51360, 51631, 50951, 52359, 51040, 50809, 51487, 50809, 63049, 51040, 62674, 50800, 67243, 57061, 65902, 51360, 51646, 51081, 50809, 51339, 50809, 51339, 52510, 51040, 50809, 51487, 50809, 51487, 50809, 51360, 51798, 51147, 50809, 51487, 50809, 51487, 54139, 52128, 50809, 52128, 52485, 51040, 50809, 52052, 50809, 52052, 50809, 51360, 50795, 56807, 50809, 52128, 50809, 52128, 50809, 51085, 60692, 62674, 50800, 56143, 57061, 51147, 51835, 50900, 50809, 51085, 51631, 50931, 52359, 50900, 50809, 51339, 50809, 51085, 51646, 50931, 52510, 50900, 50809, 51085, 60692, 62674, 50800, 56143, 57061, 51147, 69259, 51798, 50968, 50809, 52128, 50809, 52128, 52485, 50900, 50809, 51487, 50809, 51487, 50809, 51085, 50795, 57289, 50809, 52357, 50809, 52357, 50809, 51085, 60692, 72674, 56143, 61097, 50951, 51835, 50900, 50809, 51085, 51631, 50968, 52359, 50900, 50809, 51487, 50809, 51085, 51646, 50931, 50809, 52357, 50809, 52357, 50809, 51085, 60692, 72674, 56143, 61097, 50951, 51820, 50900, 50809, 51085, 51798, 50951, 50809, 51487, 52485, 50900, 50809, 51085, 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, 250, 765, 6, 20425, 37903, 9, 15855, 8, 5175, 930, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 12608, 3694, 19, 10, 748, 1879, 4450, 20889, 9, 23672, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 11739, 9, 15352, 30054, 6, 1372, 6, 8, 2933, 6711, 29, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51324, 77607, 52115, 51086, 73027, 51631, 51324, 71389, 61120, 51086, 51828, 50322, 51646, 51324, 51828, 50331, 51918, 51086, 51828, 50322, 63112, 51324, 55037, 51086, 71389, 57814, 65133, 57497, 71389, 50967, 61683, 54919, 51360, 71389, 51736, 51040, 72655, 51646, 51360, 55700, 51040, 73027, 51798, 51360, 71389, 58760, 51040, 50865, 55881, 51828, 50322, 50967, 58097, 51828, 50326, 51631, 51197, 51828, 50331, 51736, 50956, 51828, 50333, 51646, 51197, 51828, 50334, 51918, 50956, 51828, 50331, 51798, 51197, 55037, 50956, 51828, 50326, 57814, 51147, 50830, 55881, 51828, 50326, 52115, 50956, 54919, 51197, 51828, 50324, 51736, 50956, 51828, 50322, 51646, 51197, 55700, 50956, 51828, 50324, 51798, 51197, 51828, 50326, 55037, 50956, 50865, 58066, 51828, 50327, 61766, 51086, 54919, 51324, 51828, 50327, 54725, 51086, 51828, 50329, 67174, 51324, 51828, 50331, 51918, 51086, 51828, 50327, 58647, 51324, 55037, 51086, 51828, 50324, 52567, 68631, 57497, 51828, 50324, 61000, 51040, 54919, 51360, 51828, 50322, 51736, 51040, 71389, 51646, 51360, 55700, 51040, 55178, 51360, 51828, 50322, 51923, 51040, 51828, 50324, 50795, 55881, 51828, 50326, 52115, 50956, 54919, 51197, 51828, 50331, 51736, 50956, 51828, 50333, 51646, 51197, 51828, 50334, 51918, 50956, 51828, 50338, 51798, 51197, 55037, 50956, 51828, 50334, 52567, 51339, 50800, 55881, 51828, 50331, 52115, 50956, 54919, 51197, 51828, 50326, 51736, 50956, 51828, 50324, 51646, 51197, 55700, 50956, 51828, 50326, 51798, 51197, 51828, 50324, 51923, 50956, 51828, 50322, 50865, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4246, 13305, 6, 21979, 8, 3459, 29589, 6, 38668, 11212, 6, 8, 21979, 9590, 6, 278, 11, 5, 762, 9, 211, 538, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 6, 7630, 14805, 6453, 9, 657, 8, 10563, 149, 63, 15352, 30054, 15229, 6, 19, 10, 33215, 16739, 9, 83, 406, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 71410, 51544, 50936, 51570, 60224, 51334, 51388, 64679, 72551, 51390, 51379, 67932, 63986, 58133, 51334, 51014, 64679, 51014, 50459, 51390, 50912, 67932, 50912, 53458, 51009, 50953, 51009, 50988, 51173, 51590, 52282, 78316, 52282, 53366, 51551, 51099, 51551, 51429, 51870, 51275, 51527, 60616, 51732, 50856, 51735, 58082, 68907, 50847, 57647, 50848, 51173, 50856, 52195, 50438, 50935, 56209, 51098, 51388, 50953, 51388, 50988, 54596, 51668, 50802, 51415, 62858, 54353, 51150, 51012, 51133, 66594, 55328, 50887, 56950, 52369, 51271, 52369, 50848, 50893, 52176, 51496, 51198, 51496, 51494, 51761, 51119, 51552, 53366, 51551, 50856, 51573, 57189, 63979, 61267, 50858, 58578, 51685, 50432, 50885, 51661, 50868, 51343, 50856, 51552, 50444, 54193, 50923, 50744, 50328, 56827, 55899, 51173, 50744, 50330, 65651, 55635, 50893, 54193, 50890, 50744, 50328, 50890, 53458, 51009, 50953, 51009, 50988, 51173, 56463, 51196, 55420, 52208, 50744, 50327, 52208, 52176, 51496, 51099, 52369, 51429, 53174, 51275, 52369, 53366, 52266, 52758, 53601, 50856, 51735, 58082, 68907, 50847, 57647, 50848, 51173, 50856, 52195, 50438, 50935, 56209, 51098, 51388, 50953, 51388, 50988, 54596, 51668, 50802, 51415, 62858, 54353, 51150, 51012, 51133, 66594, 55328, 50887, 56950, 52369, 51271, 52369, 50848, 50893, 52176, 51761, 51198, 51496, 51494, 51552, 51119, 51552, 52176, 52266, 50856, 51573, 57189, 63979, 61267, 50858, 58578, 51196, 59744, 51196, 50432, 50885, 51661, 50868, 51343, 50856, 51573, 56752, 60866, 50856, 55577, 50960, 64363, 50962, 50799, 51076, 51014, 51098, 51732, 50953, 51732, 50988, 51016, 52176, 51761, 53366, 55362, 51869, 55362, 52040, 53898, 51198, 55362, 50798, 64146, 51076, 59845, 68907, 51076, 58360, 57647, 51076, 63694, 76622, 51076, 51192, 50935, 53734, 51343, 50444, 50947, 51073, 50848, 58833, 50847, 55764, 51032, 50824, 50935, 51173, 57746, 51175, 53366, 55362, 50791, 72041, 51076, 72701, 68907, 50872, 70756, 50947, 51158, 50848, 76622, 73560, 50935, 60397, 51226, 50444, 50988, 55260, 50960, 55868, 51173, 53366, 50880, 52040, 50962, 51198, 50962, 51708, 54403, 50998, 50993, 50935, 50948, 55929, 52442, 50964, 52442, 51332, 51343, 51964, 57676, 51280, 58690, 51232, 59939, 51099, 58690, 50798, 64146, 50998, 51407, 50988, 51290, 59812, 70192, 50868, 59826, 50909, 60257, 51343, 50444, 51332, 78669, 51173, 50447, 51332, 54596, 50848, 51173, 53366, 54647, 50868, 50890, 57732, 51175, 50885, 51175, 51964, 57676, 50791, 72041, 50988, 51173, 59812, 59371, 57748, 51332, 59306, 50909, 71496, 51226, 50444, 50988, 57322, 50885, 51175, 51280, 50883, 51232, 50880, 51099, 50880, 51964, 52935, 50868, 50895, 72243, 51045, 51273, 54217, 50927, 54217, 51171, 51362, 52176, 51585, 51119, 53241, 51494, 53241, 51198, 71062, 64146, 50947, 51653, 50946, 51175, 57189, 70756, 50947, 51952, 50294, 66341, 76622, 50929, 51048, 50850, 60397, 51343, 50444, 50946, 71381, 50929, 51158, 50868, 51175, 51964, 52935, 51078, 51932, 50944, 50858, 58282, 51362, 52176, 74390, 72041, 51078, 77207, 51175, 57189, 51173, 50850, 55214, 51078, 51834, 50294, 51235, 51494, 50895, 51198, 50893, 52176, 51090, 51275, 51496, 50438, 50998, 59568, 66857, 55417, 51226, 50444, 50946, 50893, 51119, 63233, 50960, 60874, 78560, 50940, 51198, 54450, 50998, 51388, 61894, 51407, 51098, 51184, 50953, 51184, 50988, 51235, 51869, 52282, 52040, 52311, 51198, 52311, 53366, 52282, 50791, 53690, 52410, 50848, 53734, 52437, 50847, 55417, 52359, 50848, 51016, 52176, 57191, 53574, 50935, 55637, 55489, 50847, 51173, 68698, 50848, 60397, 52485, 50935, 52207, 50818, 56950, 51795, 51271, 51795, 51171, 51977, 52176, 51237, 52176, 52282, 52963, 55180, 50946, 51173, 52093, 57189, 59262, 62712, 51135, 53810, 50848, 51362, 50944, 51362, 50850, 51135, 53219, 50850, 60257, 52510, 50946, 50893, 51099, 50962, 51119, 50930, 52176, 51575, 52396, 50848, 51173, 50944, 69504, 50893, 51494, 55043, 57830, 62875, 51007, 50890, 51198, 50961, 51232, 52586, 50924, 50799, 70442, 51098, 51184, 50953, 51184, 50988, 51977, 51322, 51184, 70126, 51184, 52176, 51237, 51869, 51054, 52040, 51054, 51198, 56351, 53690, 55573, 51076, 61631, 60257, 53425, 51076, 50936, 77362, 53366, 60467, 53695, 72588, 50848, 51173, 52176, 53734, 54431, 51007, 51173, 51275, 50880, 51099, 51739, 52510, 51076, 51603, 50935, 51227, 52176, 51575, 53533, 50988, 65971, 51173, 73631, 54663, 51032, 56602, 60257, 50818, 56950, 51009, 51271, 51009, 50988, 51362, 52468, 53174, 50744, 50294, 53174, 51119, 51033, 51275, 51054, 53366, 51541, 52963, 55180, 51076, 63165, 51175, 50909, 51175, 51007, 50895, 79408, 52112, 57189, 51173, 51007, 50890, 52176, 50882, 53366, 60467, 52209, 50947, 51060, 50847, 70580, 51227, 51007, 50895, 51119, 50880, 52176, 53734, 52565, 50929, 51054, 51098, 51009, 50953, 51009, 51119, 51192, 51275, 79108, 55489, 50850, 51173, 51007, 50895, 51429, 55968, 53641, 51007, 58631, 50935, 50948, 51099, 64116, 51156, 54663, 50847, 51135, 50884, 53788, 51184, 51133, 51184, 51332, 51661, 50885, 51175, 50847, 51227, 51280, 51030, 51232, 51021, 51099, 51030, 51964, 51226, 51964, 51541, 50791, 53690, 55573, 50988, 53734, 53425, 50998, 56471, 51173, 50868, 50940, 50847, 50858, 51964, 51594, 53695, 50929, 51192, 50847, 50895, 50909, 76714, 54431, 50947, 58568, 54790, 50885, 59591, 51076, 68941, 51290, 68698, 51332, 50940, 51516, 50961, 51153, 67854, 51156, 54663, 50947, 65554, 51135, 53902, 50929, 50952, 69146, 51009, 51216, 51352, 51011, 51352, 51688, 51362, 51119, 50936, 51489, 51379, 52537, 51226, 52537, 51496, 52963, 55180, 51217, 51173, 51777, 51021, 52112, 62810, 51227, 52700, 52379, 74420, 52379, 52533, 54196, 52209, 50868, 51362, 51489, 50883, 51578, 51594, 52565, 51017, 60257, 55489, 50850, 60257, 53641, 50868, 71381, 51017, 51173, 73631, 54663, 50946, 52207, 50884, 68892, 51505, 51461, 51795, 50964, 51795, 51332, 51356, 51280, 51427, 51964, 74752, 53690, 55573, 51076, 79752, 51016, 51099, 54444, 53425, 50885, 51362, 51516, 50961, 51275, 50882, 52533, 50921, 51280, 51291, 50791, 53695, 50947, 51054, 50868, 50940, 51516, 50921, 51153, 64512, 54431, 50868, 78230, 60257, 52510, 50929, 51460, 50909, 51235, 51099, 50921, 68698, 50885, 65710, 50948, 73631, 54663, 51032, 52448, 50818, 54079, 51795, 50927, 51795, 51171, 51941, 51198, 52282, 52963, 55180, 62569, 50946, 51016, 51119, 50911, 52112, 57189, 78560, 51175, 51489, 50930, 51578, 55043, 52209, 51076, 72979, 50940, 51275, 51454, 51578, 70817, 53593, 50947, 59646, 50929, 51072, 50868, 60397, 50887, 51180, 52396, 50947, 51111, 50868, 62712, 51173, 73631, 54663, 50929, 51496, 50944, 52207, 50884, 53458, 51795, 50953, 51795, 50988, 51343, 51869, 65522, 53690, 55573, 50848, 51173, 51198, 57191, 53425, 74432, 51119, 62003, 53695, 50848, 51173, 50847, 50858, 51275, 55043, 54431, 50935, 51016, 51590, 50802, 78316, 74292, 50884, 51429, 66363, 52510, 50847, 50893, 51334, 50830, 64679, 50830, 68698, 50848, 51173, 51390, 50917, 67932, 50917, 51119, 76132, 51156, 54663, 50935, 51235, 51334, 50921, 64679, 50921, 51275, 51500, 51099, 51573, 66079, 53458, 51300, 50953, 51300, 50988, 51016, 51590, 50975, 78316, 55188, 53690, 51029, 58082, 55637, 53150, 50847, 60257, 54334, 50935, 55417, 54292, 51098, 50802, 57416, 50988, 50893, 53973, 51192 ]

[ 0, 250, 15352, 30054, 8, 17627, 17274, 3495, 5175, 2214, 4246, 10, 3741, 27374, 594, 6, 38668, 2236, 6, 18558, 6, 21072, 6, 8, 6755, 12547, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 5, 762, 9, 163, 538, 6, 19, 5, 40286, 83, 401, 6, 163, 406, 6, 8, 163, 119, 8165, 1328, 42, 33558, 2365, 3618, 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 ]

[ 54458, 51528, 51135, 66032, 50829, 71172, 50870, 51361, 50820, 71504, 70041, 50834, 51899, 51139, 50891, 78808, 50799, 56549, 50895, 56549, 50895, 67406, 50863, 67406, 50863, 58658, 50825, 58658, 50825, 57953, 51520, 51135, 50908, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50863, 58658, 50863, 55160, 51052, 50829, 57865, 51973, 56024, 50961, 56024, 50961, 67406, 50870, 67406, 50870, 58658, 50863, 58658, 50863, 54289, 52409, 51041, 50863, 53930, 52119, 67406, 50820, 67406, 50820, 58658, 50870, 58658, 50870, 57953, 51052, 50834, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50891, 67406, 50891, 58658, 50837, 58658, 50837, 54289, 52466, 51135, 50837, 53930, 55380, 67406, 50834, 67406, 50834, 58658, 50891, 58658, 50891, 55160, 51052, 50829, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50891, 67406, 50891, 58658, 50825, 58658, 50825, 54330, 50823, 54680, 50837, 53968, 54178, 67406, 50820, 67406, 50820, 58658, 50837, 58658, 50837, 55160, 51052, 50820, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50908, 67406, 50908, 58658, 50863, 58658, 50863, 57953, 51520, 51135, 53332, 50825, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50891, 58658, 50891, 55160, 51052, 60415, 57865, 51973, 56024, 50883, 56024, 50883, 67406, 50863, 67406, 50863, 58658, 50825, 58658, 50825, 54289, 52409, 51139, 61865, 53930, 52119, 67406, 50834, 67406, 50834, 58658, 50863, 58658, 50863, 57953, 51052, 53518, 50870, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50837, 67406, 50837, 58658, 50825, 58658, 50825, 54289, 52466, 51135, 53977, 50837, 53930, 55380, 67406, 50829, 67406, 50829, 58658, 50837, 58658, 50837, 55160, 51052, 53622, 50891, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50837, 67406, 50837, 58658, 50835, 58658, 50835, 54330, 50823, 54680, 53977, 50825, 53968, 54178, 67406, 50820, 67406, 50820, 58658, 50870, 58658, 50870, 55160, 51052, 53518, 50837, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50863, 67406, 50863, 58658, 50835, 58658, 50835, 57953, 51520, 51135, 50368, 52663, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50837, 58658, 50837, 55160, 51052, 52909, 50891, 57865, 51973, 56024, 50961, 56024, 50961, 67406, 50870, 67406, 50870, 58658, 50835, 58658, 50835, 54289, 52409, 51041, 53332, 50825, 53930, 52119, 67406, 50820, 67406, 50820, 58658, 50837, 58658, 50837, 57953, 51052, 50376, 52663, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50891, 67406, 50891, 58658, 50863, 58658, 50863, 54289, 52466, 51135, 54561, 50825, 53930, 55380, 67406, 50834, 67406, 50834, 58658, 50837, 58658, 50837, 55160, 51052, 52909, 50837, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50891, 67406, 50891, 58658, 50825, 58658, 50825, 54330, 50823, 54680, 54561, 50835, 53968, 54178, 67406, 50820, 67406, 50820, 52779, 50818, 52779, 50818, 58658, 50825, 58658, 50825, 55160, 51052, 53518, 50870, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50908, 67406, 50908, 52779, 50961, 52779, 50961, 58658, 50835, 58658, 50835, 57953, 51520, 51135, 53332, 50835, 59521, 52244, 67406, 50829, 67406, 50829, 52779, 50949, 52779, 50949, 58658, 50825, 58658, 50825, 55160, 51052, 52909, 50837, 57865, 51973, 56024, 50883, 56024, 50883, 67406, 50863, 67406, 50863, 52779, 50846, 52779, 50846, 58658, 50825, 58658, 50825, 54289, 52409, 51139, 53730, 50835, 53930, 52119, 67406, 50834, 67406, 50834, 52779, 50820, 52779, 50820, 58658, 50825, 58658, 50825, 57953, 51052, 53518, 50837, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50837, 67406, 50837, 58658, 50825, 58658, 50825, 54289, 52466, 51135, 78199, 53930, 55380, 67406, 50829, 67406, 50829, 58658, 50835, 58658, 50835, 55160, 51052, 53622, 50837, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50837, 67406, 50837, 58658, 50825, 58658, 50825, 54330, 50823, 54680, 53977, 50825, 53968, 54178, 67406, 50820, 67406, 50820, 58658, 50825, 58658, 50825, 55160, 51052, 52532, 52922, 50825, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50863, 67406, 50863, 58658, 50825, 58658, 50825, 57953, 51520, 51135, 53461, 56821, 50835, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50863, 58658, 50863, 55160, 51052, 52543, 54349, 50825, 57865, 51973, 56024, 50961, 56024, 50961, 67406, 50870, 67406, 50870, 58658, 50863, 58658, 50863, 54289, 52409, 51041, 52680, 53544, 50825, 53930, 52119, 67406, 50820, 67406, 50820, 58658, 50870, 58658, 50870, 57953, 51052, 53622, 52300, 50820, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50891, 67406, 50891, 58658, 50837, 58658, 50837, 54289, 52466, 51135, 54561, 50825, 53930, 55380, 67406, 50834, 67406, 50834, 58658, 50891, 58658, 50891, 55160, 51052, 52909, 50835, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50891, 67406, 50891, 58658, 50825, 58658, 50825, 54330, 50823, 54680, 54561, 50825, 53968, 54178, 67406, 50820, 67406, 50820, 58658, 50837, 58658, 50837, 55160, 51052, 53518, 50825, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50908, 67406, 50908, 58658, 50863, 58658, 50863, 57953, 51520, 51135, 53332, 50825, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50891, 58658, 50891, 55160, 51052, 60415, 57865, 51973, 56024, 50883, 56024, 50883, 67406, 50863, 67406, 50863, 58658, 50825, 58658, 50825, 54289, 52409, 51139, 61865, 53930, 52119, 67406, 50834, 67406, 50834, 58658, 50863, 58658, 50863, 57953, 51052, 53518, 50870, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50837, 67406, 50837, 58658, 50825, 58658, 50825, 54289, 52466, 51135, 53977, 50837, 53930, 55380, 67406, 50829, 67406, 50829, 58658, 50837, 58658, 50837, 55160, 51052, 53622, 50891, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50837, 67406, 50837, 58658, 50835, 58658, 50835, 54330, 50823, 54680, 53977, 50825, 53968, 54178, 67406, 50820, 67406, 50820, 58658, 50870, 58658, 50870, 55160, 51052, 53518, 50837, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50863, 67406, 50863, 58658, 50835, 58658, 50835, 57953, 51520, 51135, 50368, 52663, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50837, 58658, 50837, 55160, 51052, 52909, 50891, 57865, 51973, 56024, 50961, 56024, 50961, 67406, 50870, 67406, 50870, 58658, 50835, 58658, 50835, 54289, 52409, 51041, 53332, 50825, 53930, 52119, 67406, 50820, 67406, 50820, 58658, 50837, 58658, 50837, 57953, 51052, 50376, 52663, 59521, 52057, 56549, 50895, 56549, 50895, 67406, 50891, 67406, 50891, 58658, 50863, 58658, 50863, 54289, 52466, 51135, 54561, 50825, 53930, 55380, 67406, 50834, 67406, 50834, 58658, 50837, 58658, 50837, 55160, 51052, 52909, 50837, 57865, 52116, 56024, 50961, 56024, 50961, 67406, 50891, 67406, 50891, 58658, 50825, 58658, 50825, 54330, 50823, 54680, 54561, 50835, 53968, 54178, 67406, 50820, 67406, 50820, 58658, 50825, 58658, 50825, 55160, 51052, 53518, 50870, 57865, 50803, 50799, 56549, 50895, 56549, 50895, 67406, 50908, 67406, 50908, 58658, 50835, 58658, 50835, 57953, 50803, 51251, 50808, 51251, 50808, 51491, 50808, 51491, 50808, 51357, 50808, 51357, 51747, 51135, 53332, 50835, 59521, 52244, 67406, 50829, 67406, 50829, 58658, 50825, 58658, 50825, 55160, 51052, 52909, 50837, 57865, 51973, 56024, 50883, 56024, 50883, 67406, 50863, 67406, 50863, 58658, 50825, 58658, 50825, 54289, 52409, 51139, 53730, 50835, 53930, 52119 ]

[ 0, 250, 12298, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 6755, 12547, 6, 25044, 139, 10170, 1499, 6, 21979, 8669, 6, 21072, 6, 8, 4401, 757, 3178, 6, 70, 8216, 7, 63, 32076, 1619, 4780, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 6, 42, 15352, 30054, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 7630, 14805, 6453, 9, 11098, 6, 10563, 6, 8, 26545, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 59412, 51504, 74989, 50945, 51112, 51169, 50933, 51032, 50955, 50986, 51025, 50970, 51400, 50427, 51504, 51309, 50986, 51233, 50970, 51309, 50431, 51032, 57123, 51169, 51387, 51169, 51432, 51032, 51432, 50437, 52562, 56656, 51105, 51112, 75646, 51064, 50977, 52562, 51212, 51246, 51212, 51136, 51642, 51136, 51400, 51246, 51806, 50816, 67367, 51064, 51470, 50929, 51166, 69695, 51064, 51074, 50449, 53805, 51312, 51846, 54980, 51228, 51112, 51169, 50955, 70850, 53805, 51212, 51846, 51212, 51317, 51212, 51317, 51312, 50816, 50941, 59986, 51128, 54706, 51851, 50455, 50816, 71736, 50970, 52192, 50970, 51376, 51169, 51376, 51169, 66382, 51851, 50458, 51725, 56374, 51149, 69372, 75661, 51574, 52256, 51439, 55071, 51319, 50460, 51207, 51330, 50986, 51108, 50461, 51207, 54558, 50328, 59958, 51126, 52534, 50807, 51246, 51166, 50998, 51806, 50929, 51108, 50929, 51097, 51032, 50981, 50909, 51255, 52095, 51122, 51833, 64653, 63148, 72184, 55650, 51207, 52167, 51246, 52192, 58907, 50425, 51439, 76349, 51246, 50982, 50998, 76876, 50870, 52403, 51192, 50939, 51233, 64892, 59268, 50378, 53830, 59875, 55286, 50953, 50901, 51246, 52731, 50998, 51174, 69695, 51032, 50972, 58009, 68658, 51207, 51524, 67465, 51112, 51207, 50908, 51246, 50891, 50998, 50863, 50929, 50825, 51032, 50835, 51439, 51158, 66276, 59417, 51467, 64653, 50378, 53830, 59317, 55434, 51246, 51824, 50998, 51058, 60384, 51032, 53021, 54435, 70435, 51207, 76267, 50953, 51346, 51246, 50982, 50998, 50908, 50929, 69910, 51363, 51149, 51112, 64892, 63823, 57305, 50378, 53830, 59875, 55735, 51246, 51824, 50998, 51058, 78125, 71314, 51456, 53111, 69646, 51207, 51524, 50460, 58013, 58449, 55954, 51177, 51207, 51884, 52534, 50807, 51246, 51166, 50998, 51199, 64387, 71664, 52095, 51698, 51467, 64653, 63148, 72184, 55650, 51246, 54071, 50986, 51048, 58907, 50421, 51207, 51524, 50425, 54642, 58798, 51246, 50891, 50998, 77828, 67310, 51467, 59268, 50378, 53830, 59875, 73956, 52860, 61721, 53210, 55286, 50953, 50901, 51317, 50834, 51246, 51824, 50998, 51470, 78445, 51032, 50972, 58009, 68658, 51207, 51524, 50434, 52860, 50851, 60580, 50436, 53424, 59948, 51311, 69203, 53062, 50904, 51133, 51112, 51207, 50908, 51246, 50891, 50998, 50863, 50929, 50825, 51032, 53617, 59488, 51467, 64653, 50378, 53830, 59317, 50941, 50439, 53424, 63780, 53062, 63938, 53424, 60825, 51246, 51824, 50998, 51058, 60384, 51032, 53021, 54435, 70435, 53062, 50870, 51207, 51524, 50446, 53424, 60678, 50953, 51346, 51246, 50982, 50998, 50908, 50929, 50908, 51317, 58785, 51467, 63823, 57305, 50378, 53830, 59875, 55735, 51246, 51824, 50998, 51058, 50929, 51006, 71314, 51456, 53111, 69646, 51207, 51524, 69693, 52138, 56551, 52138, 61629, 50909, 58660, 51504, 54558, 50328, 51121, 50909, 50967, 52354, 50807, 50986, 51166, 50970, 51806, 51169, 51097, 51032, 50981, 50986, 51145, 52095, 51698, 51467, 64653, 63148, 72184, 55650, 51504, 52167, 50986, 52192, 50791, 53356, 50986, 50982, 50970, 50837, 51169, 50870, 50909, 51177, 52138, 51192, 64892, 59268, 50378, 53830, 59875, 55286, 76170, 50986, 52731, 50970, 51174, 51169, 51079, 51032, 50972, 58009, 68658, 51504, 51524, 53357, 51112, 51504, 50908, 50986, 50891, 50970, 50863, 51169, 50825, 51032, 68565, 51501, 50324, 50849, 59417, 51467, 64653, 50378, 53830, 59317, 55434, 50986, 51824, 50970, 51058, 77217, 51032, 53021, 54435, 70435, 51504, 76267, 50964, 51346, 50986, 50982, 50970, 50908, 51169, 50908, 50872, 51501, 50321, 51173, 64892, 63823, 57305, 50378, 53830, 59875, 55735, 50986, 51824, 50970, 51058, 51169, 51174, 71314, 51456, 53111, 69646, 51504, 51524, 50460, 58013, 50971, 55954, 51100, 50461, 51504, 51884, 52354, 50807, 50986, 51166, 50970, 51199, 51169, 50981, 71664, 52095, 51698, 51467, 64653, 63148, 72184, 55650, 50986, 54071, 50986, 51048, 58907, 50421, 51504, 51524, 50423, 54642, 53950, 52860, 50862, 50986, 50891, 50970, 50825, 51169, 67310, 51467, 59268, 50378, 53830, 59875, 73956, 53210, 59833, 53210, 50907, 52860, 54661, 54642, 50864, 76170, 51317, 50834, 50986, 51824, 50970, 51470, 51169, 51074, 51032, 50972, 58009, 68658, 52635, 51319, 51504, 51524, 50434, 53915, 51319, 50986, 55310, 53424, 67171, 53062, 61842, 51311, 51112, 53357, 51112, 51504, 50908, 50986, 50891, 50970, 50863, 51169, 50825, 51032, 53617, 59488, 51467, 64653, 50378, 53830, 59317, 50941, 50440, 52860, 57138, 50986, 51824, 50970, 51058, 77217, 51032, 53021, 54435, 70435, 51504, 51524, 50447, 53062, 53567, 50964, 51346, 50986, 50982, 50970, 50908, 51169, 50908, 51317, 58785, 51467, 63823, 57305, 50378, 53830, 59875, 73951, 53915, 64461, 52635, 55293, 50986, 51824, 50970, 51058, 51169, 51006, 71314, 51456, 53111, 69646, 51504, 51524, 50458, 54642, 71490, 52860, 50984, 51207, 51432, 52563, 50807, 51246, 51166, 50998, 51806, 50929, 51097, 51032, 50981, 50986, 51145, 54374, 51006, 59048, 51058, 50909, 51424, 50320, 51060, 52095, 51698, 51467, 64653, 63148, 72184, 55650, 51207, 52167, 51246, 52192, 58907, 50425, 50676, 50338, 50987, 50676, 50341, 57104, 51246, 50982, 50998, 76876, 50870, 52403, 51424, 50329, 50893, 64892, 59268, 50378, 53830, 59875, 55286, 76170, 51246, 52731, 50998, 51174, 69695, 51032, 50972, 58009, 68658, 51207, 51524, 50437, 50676, 50338, 50955, 55208, 51112, 51207, 50908, 51246, 50891, 50998, 50863, 50929, 50825, 51032, 50835, 51439, 50917, 59048, 50987, 52403, 51650, 59488, 51467, 64653, 50378, 53830, 59317, 55434, 51246, 51824, 50998, 51058, 60384, 51032, 53021, 54435, 70435, 51207, 76267, 50964, 51346, 51246, 50982, 50998, 50908, 50929, 50908, 54374, 51006, 59048, 50987, 51149, 51424, 50323, 51192, 64892, 63823, 57305, 50378, 53830, 59875, 55735, 51246, 51824, 50998, 51058, 78125, 71314, 51456, 53111, 69646, 51207, 51524, 50460, 58013, 63729, 55954, 50901, 51207, 51884, 52563, 50807, 51246, 51166, 50998, 51199, 64387, 71664, 52095, 51698, 51467, 64653, 63148, 72184, 55650, 51246, 54071, 50986, 51048, 58907, 50421, 51207, 51524, 50422, 54642, 63790, 53424, 52580, 51246, 50891, 50998, 77828, 67310, 51467, 59268, 50378, 53830, 59875, 73956, 53539, 66113, 56313, 54216, 76170, 51317, 50840, 51246, 51824, 50998, 51470, 78445, 51032, 50972, 58009, 68658, 51207, 51524, 50434, 61105, 68066, 50986, 59693, 55954, 50812, 51311, 51112, 55208, 51112, 51207, 50908, 51246, 50891, 50998, 50863, 50929, 50825, 51032, 53617, 59488, 51467, 64653, 50378, 53830, 59317, 50941, 50439, 61105, 68273, 55954, 59356, 61105, 60362, 55954, 53594, 51246, 51824, 50998, 51058, 60384, 51032, 53021, 54435, 70435, 51207, 76267, 50964, 51346, 51246, 50982, 50998, 50908, 50929, 50908, 51317, 58785, 51467, 63823, 57305, 50378, 53830, 59875, 55735, 53539, 51269, 51246, 51824, 50998, 51058, 50929, 51006, 71314, 51456, 53111, 69646, 51207, 51524, 50459, 61105, 61243, 55954, 51006, 51504, 51432, 52354, 50807, 50986, 51166, 50970, 51806, 51169, 51097, 51032, 50981, 50986, 51145, 57556, 50827, 50676, 50336, 50844, 52138, 50917, 52238, 51501, 50321, 51177, 52095, 51698, 51467, 64653, 63148, 72184, 55650, 51504, 52167, 50986, 52192, 50791, 53356, 50986, 50982, 50970, 50837, 51169, 50870, 50676, 50345, 50857, 50676, 50340, 50854, 50676, 50336, 50830, 57556, 50924, 52138, 61073, 51467, 59268, 50378, 53830, 59875, 55286, 76170 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 2214, 19, 10, 2842, 9, 1365, 6288, 6, 4246, 10, 13305, 981, 5, 33301, 6, 7513, 30, 41, 21979, 8669, 6, 3459, 9590, 6, 21072, 6, 8, 10, 6755, 12547, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 2351, 10, 3366, 219, 8, 23975, 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 ]

[ 54458, 53285, 53073, 54549, 51295, 52091, 52122, 52398, 51295, 56090, 51551, 55243, 51685, 52806, 51685, 51660, 51226, 51929, 50983, 51808, 51294, 54797, 51343, 52156, 51189, 58749, 51295, 50415, 50856, 54562, 53496, 53454, 51701, 52821, 51660, 55198, 51440, 55198, 52361, 56082, 56416, 54454, 52604, 53651, 63810, 51353, 50856, 54586, 56090, 56073, 50450, 55243, 52017, 50456, 52745, 51469, 77631, 51696, 50770, 50313, 53501, 55957, 53442, 50856, 55186, 54797, 51060, 52156, 50873, 58749, 50977, 50449, 52604, 59881, 56416, 50924, 63810, 68384, 52433, 53702, 56523, 50893, 62527, 50854, 68849, 53520, 54549, 51115, 52091, 51717, 52398, 51295, 67347, 52570, 56922, 51896, 56194, 51358, 51660, 51294, 51929, 51552, 51808, 51294, 54797, 51091, 52156, 51218, 58749, 73497, 54562, 53496, 52821, 51701, 53082, 51660, 54089, 51440, 54089, 52361, 54089, 56416, 54527, 52604, 51359, 63810, 51422, 50856, 54586, 56922, 53898, 50450, 56194, 54454, 50456, 54632, 52017, 50799, 52806, 52500, 50438, 52043, 51016, 51789, 50795, 55906, 61985, 53335, 51215, 52083, 50873, 57963, 65928, 54028, 50856, 52396, 52807, 51192, 51686, 50805, 56318, 65928, 70896, 52156, 67773, 54797, 50911, 58749, 50854, 50799, 61262, 51036, 52016, 52069, 52091, 51894, 52582, 51894, 51701, 51894, 73602, 53435, 53722, 53435, 51660, 51941, 51944, 52369, 51440, 51585, 52361, 52266, 56416, 53241, 50770, 50313, 53501, 52604, 51714, 63810, 52069, 50450, 51669, 76342, 54797, 50859, 56318, 50810, 58749, 64853, 52156, 65928, 61010, 52807, 50921, 50460, 51686, 50925, 50799, 54387, 51696, 52016, 51945, 52582, 52069, 51701, 51359, 50656, 50284, 53435, 55243, 53435, 51614, 52392, 51944, 53435, 51440, 53241, 52361, 52392, 56416, 52311, 63810, 51145, 50856, 56868, 52604, 51623, 50444, 54797, 51167, 52156, 50901, 58749, 58332, 56416, 50893, 52604, 50978, 63810, 63335, 52433, 55670, 56523, 51173, 62527, 50810, 53285, 51036, 54549, 51310, 52091, 51307, 52398, 51141, 56090, 51696, 52806, 53435, 51660, 52536, 51929, 52392, 51808, 53241, 54797, 50983, 52156, 51295, 58749, 51351, 50856, 52975, 53496, 51591, 51701, 55277, 56416, 54300, 52604, 51742, 63810, 51452, 50856, 54450, 50856, 56232, 63338, 50799, 54387, 51655, 52016, 51359, 52582, 51353, 50656, 50284, 52536, 55243, 51469, 51614, 51696, 51944, 52208, 51440, 51036, 62527, 51714, 50856, 58410, 52433, 51307, 50438, 52043, 51541, 51321, 50839, 58540, 50809, 51069, 51655, 56090, 52500, 52806, 52500, 51660, 51496, 51440, 51364, 51808, 51527, 52361, 51274, 51688, 51795, 50856, 54892, 51028, 50887, 51217, 51336, 50426, 51028, 62798, 79411, 51028, 50809, 51017, 74814, 51028, 55885, 50973, 51060, 51660, 51090, 60027, 51158, 51440, 51158, 51217, 51191, 50456, 50916, 51364, 52361, 50880, 50946, 61845, 50884, 53534, 51077, 56090, 52536, 51660, 51285, 51929, 51496, 51808, 51274, 51688, 51352, 51396, 51343, 51042, 78886, 52265, 51040, 50924, 52806, 51472, 59419, 50879, 51069, 51356, 51660, 51090, 51440, 51054, 52361, 51016, 52043, 65057, 50918, 51017, 71158, 51040, 51798, 65927, 51217, 51377, 50456, 50877, 50795, 51688, 63572, 50839, 57190, 51158, 51205, 53073, 58748, 53241, 52745, 51685, 51614, 51336, 51944, 51336, 51440, 51196, 51808, 51896, 51669, 51551, 51791, 51894, 50856, 53336, 50989, 51554, 50298, 52151, 56248, 59687, 52069, 50432, 50989, 51291, 50848, 51486, 50450, 52745, 50882, 51614, 54210, 50965, 50840, 52435, 50895, 51660, 53498, 50820, 57190, 51158, 58748, 51896, 51614, 52195, 51944, 52097, 51791, 51894, 50856, 53336, 50989, 50865, 51506, 51391, 62144, 72672, 51803, 76567, 70902, 68875, 51440, 54952, 50989, 63112, 51506, 53697, 50456, 51042, 51753, 50856, 50828, 55331, 50859, 61262, 51036, 73602, 52500, 53722, 52500, 51614, 51896, 51660, 52311, 51944, 51896, 51440, 51933, 66598, 51696, 50856, 52302, 50902, 50840, 51506, 51714, 60718, 65761, 51486, 63975, 61631, 51591, 66836, 52815, 51028, 60866, 50973, 53592, 52738, 50965, 51364, 50856, 50828, 50799, 54387, 51336, 50656, 50284, 51941, 55243, 51941, 51944, 52195, 51440, 52195, 51669, 51285, 61153, 51991, 50856, 56051, 51506, 51351, 62810, 73576, 76251, 50848, 51364, 50438, 50965, 50991, 51019, 51356, 51808, 55489, 51506, 51419, 78933, 64949, 50946, 51400, 50454, 50973, 68635, 71812, 50856, 50841, 57126, 51364, 51069, 51016, 56090, 52369, 52806, 51941, 51660, 51541, 51440, 51226, 52361, 51091, 51688, 52379, 50856, 56051, 51217, 52069, 62810, 51662, 64185, 51358, 51069, 51336, 51660, 50880, 51929, 50962, 51808, 50962, 51017, 51591, 50856, 55891, 50856, 50846, 53285, 51111, 50656, 50284, 51696, 51614, 51696, 51660, 51469, 51944, 51696, 51440, 52208, 50946, 53006, 63572, 54892, 51796, 51554, 50300, 50865, 50992, 53466, 53344, 50910, 51506, 50942, 50944, 71992, 54387, 51175, 51217, 55501, 51918, 50927, 51158, 51171, 69912, 65458, 51228, 51158, 52540, 50866, 51017, 52961, 51205, 51111, 51791, 50865, 51042, 50849, 58540, 50859, 51069, 54484, 56090, 53241, 52806, 52392, 51660, 51552, 51440, 51496, 51808, 51356, 52361, 51343, 51266, 51717, 51688, 51795, 50856, 54892, 51028, 50887, 51217, 51336, 50426, 51028, 76331, 79411, 51028, 64353, 74814, 51028, 71492, 50973, 50795, 51660, 58833, 50877, 50805, 51440, 51192, 51217, 51191, 50456, 50916, 51364, 52361, 50962, 50946, 61845, 50818, 50799, 56090, 51605, 51660, 51285, 51929, 51552, 51808, 51364, 51688, 51352, 51396, 51343, 51042, 78886, 52265, 51040, 50865, 52806, 52097, 59419, 50879, 51660, 51090, 51440, 51054, 52361, 51090, 52043, 78888, 50918, 51017, 71158, 51040, 50879, 54387, 51141, 59758, 50865, 51217, 51377, 50456, 50877, 51554, 50289, 63572, 50820, 57190, 51158, 51205, 53090, 58748, 52536, 52745, 52311, 51614, 51551, 51944, 51356, 51440, 51336, 51808, 52282, 51669, 51356, 51791, 51894, 50856, 53336, 50989, 70732, 52151, 56248, 51060, 51042, 52069, 50432, 50989, 51141, 50848, 51486, 50436, 51107, 77307, 52745, 50882, 51614, 53563, 50965, 50887, 52435, 50895, 51660, 52990, 57335, 51488, 51047, 57190, 51060, 58748, 51358, 51614, 52195, 51944, 51472, 51791, 51894, 50856, 56051, 50989, 50938, 51506, 51391, 62144, 72357, 51803, 76567, 70902, 51358, 50437, 51357, 60610, 51440, 54811, 50989, 50807, 51069, 51364, 50450, 51506, 53697, 50456, 51042, 51753, 50856, 50846, 55331, 50800, 61262, 51036, 73602, 52500, 53722, 53241, 51614, 51358, 51660, 51685, 51944, 52282, 51440, 51933, 51491, 52121, 66598, 51696, 50856, 56621, 57213, 51506, 51714, 60718, 65761, 51486, 63975, 54474, 51591, 66836, 63322, 51028, 65458, 50973, 56473, 52881, 50965, 78886, 50841, 50799, 54387, 51696, 50656, 50284, 51933, 55243, 51585, 51944, 51285, 51440, 51661, 51669, 52195, 61153, 51991, 50856, 54892, 51506, 51351, 62810, 73576, 50965, 54474, 51364, 50438, 50965, 51158, 51808, 54989, 51506, 51419, 50446, 50902, 55149, 50946, 51400, 50454, 51028, 64713, 71812, 50856, 50841, 57844, 51364, 51069, 51036, 56090, 51933, 52806, 52266, 51660, 51541, 51440, 51573, 52361, 51226, 51301, 52121, 51688, 52379, 50856, 56621, 51217, 52069, 62810, 51662, 63174, 51623, 51017, 51591, 62132, 52738, 50856, 50828, 53285, 50795, 56090, 50893, 52806, 50806, 51440, 50879, 52361, 51388, 51688, 70620, 53006, 51362, 50856, 56051, 51205, 50938, 58748, 50879, 52745, 50879, 51808, 50911, 51669, 50936, 51791, 57172, 56255, 52992 ]

[ 0, 250, 20902, 8, 15352, 30054, 5175, 3495, 2214, 4246, 2724, 368, 31365, 25999, 6, 3459, 8669, 6, 18558, 6, 13305, 6, 8, 38668, 3038, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 20425, 12447, 1001, 20889, 4, 20, 17627, 17274, 8859, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 272, 6, 3676, 6, 230, 6, 8, 211, 6, 2351, 10, 33558, 8, 2365, 12, 6928, 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 ]

[ 58402, 53788, 50938, 51915, 50938, 62581, 50858, 52394, 50812, 55699, 51945, 52679, 51717, 52041, 51717, 59784, 51179, 67444, 53784, 58235, 51536, 50855, 53327, 51239, 59094, 52395, 53901, 53145, 50836, 53481, 50933, 51068, 51139, 57334, 75958, 50827, 68337, 52658, 51098, 50917, 52395, 50839, 54117, 50917, 53481, 51008, 75958, 50933, 68337, 50874, 50717, 50287, 50890, 54512, 53887, 55280, 50437, 53625, 51685, 50438, 51536, 52611, 51924, 51896, 66951, 53239, 51098, 50854, 52395, 50820, 54117, 50854, 50717, 50287, 50800, 54512, 54806, 51239, 52725, 51150, 50854, 53145, 50857, 51915, 50854, 75958, 50897, 68337, 50897, 53481, 50854, 62581, 50809, 52394, 64154, 51041, 52738, 51668, 50897, 51536, 50839, 53180, 50897, 72845, 50813, 54727, 52784, 53966, 51239, 50839, 54389, 50865, 51355, 50828, 52331, 50865, 65828, 50859, 53880, 50854, 54445, 52122, 64863, 54131, 58100, 51924, 51238, 50420, 53625, 51379, 69030, 57466, 51355, 50829, 53327, 51187, 61159, 51536, 53906, 52395, 50818, 53481, 50854, 50652, 50349, 50833, 68337, 57446, 51392, 57881, 51924, 50806, 53625, 55214, 51493, 50942, 51536, 50846, 55704, 50942, 50652, 50349, 51008, 68337, 50827, 50717, 50284, 50887, 59887, 50840, 75194, 72090, 53481, 51123, 50437, 53625, 72328, 69660, 51924, 51364, 65906, 53239, 51493, 50822, 51536, 50828, 55704, 50822, 59887, 50862, 50717, 50284, 51420, 53966, 57868, 53880, 54276, 51216, 50955, 52395, 50836, 52331, 50955, 50652, 50349, 50910, 68337, 50897, 53481, 50833, 65828, 58029, 51139, 58014, 54512, 52863, 51098, 50955, 51355, 50839, 54117, 50955, 51334, 50942, 50717, 50287, 50808, 52380, 52090, 53784, 51044, 50839, 53202, 50805, 51262, 50825, 53760, 50805, 74815, 73871, 50808, 56478, 50833, 52833, 51173, 51783, 51353, 54161, 53852, 53223, 51334, 52536, 69030, 57987, 52380, 51605, 50422, 78483, 51510, 54499, 58423, 51355, 54156, 51536, 50820, 53481, 50833, 72570, 50833, 50652, 50349, 64154, 51130, 56999, 62581, 50800, 52394, 53911, 51150, 50812, 51355, 50828, 51915, 50812, 72570, 50810, 50652, 50349, 50942, 53481, 50874, 72711, 53442, 51262, 51406, 53618, 53041, 51150, 50942, 51355, 50829, 51915, 50942, 52394, 50855, 62581, 54047, 51139, 59596, 53880, 53938, 51216, 50810, 51536, 50839, 52331, 50810, 50652, 50349, 50942, 72570, 50822, 53481, 50886, 65828, 53984, 51130, 53268, 51140, 50851, 70307, 53760, 50851, 73871, 50800, 56478, 53197, 54617, 51239, 55971, 51924, 51060, 53458, 69154, 50820, 54117, 50917, 54512, 50854, 53625, 51235, 52123, 51243, 51555, 51151, 51902, 51151, 53804, 53784, 57829, 50717, 50287, 50859, 51039, 53966, 60170, 51250, 50857, 51390, 51933, 53327, 51041, 60955, 51780, 50859, 52833, 52266, 50425, 50652, 50351, 50812, 75958, 50844, 59150, 57629, 51630, 57621, 51139, 52667, 51098, 50925, 51780, 50809, 54117, 50925, 50652, 50351, 50925, 75958, 51008, 59150, 50810, 54512, 50840, 50717, 50287, 53474, 51041, 53219, 64863, 52616, 51098, 50808, 51780, 50862, 54117, 50808, 50717, 50287, 50858, 54512, 51373, 53966, 61925, 50652, 50351, 50897, 59150, 50942, 75958, 58332, 51216, 50942, 51630, 50836, 52331, 50942, 65828, 50800, 53880, 58107, 51392, 58014, 54727, 52863, 72942, 51780, 50839, 53180, 50830, 72845, 52589, 51406, 52572, 50846, 53788, 50938, 51536, 50820, 51915, 50938, 62581, 50858, 52394, 50812, 55699, 51945, 52679, 51717, 52041, 51717, 59784, 51179, 52981, 51536, 50862, 69030, 58235, 52395, 50854, 53327, 51239, 59094, 53145, 54156, 57463, 50870, 51924, 52536, 53481, 50933, 53625, 52266, 51068, 51139, 57334, 75958, 50827, 68337, 52658, 51098, 50917, 52395, 50862, 54117, 50917, 53481, 51008, 75958, 50933, 68337, 50874, 50717, 50287, 50890, 54512, 53887, 51044, 52565, 51536, 51437, 53618, 53239, 51098, 50854, 52395, 50841, 54117, 50854, 50717, 50287, 50800, 54512, 54806, 51239, 52725, 51150, 50854, 53145, 50862, 51915, 50854, 75958, 50897, 68337, 50897, 53481, 50854, 62581, 50809, 52394, 64154, 51041, 52738, 51668, 50897, 51536, 50839, 53180, 50897, 72845, 50813, 54727, 52784, 53966, 51239, 50839, 54389, 50865, 51355, 50863, 52331, 50865, 65828, 50859, 53880, 50854, 54445, 52122, 64863, 54131, 58100, 53625, 51235, 50420, 51924, 51110, 69030, 57466, 51355, 50941, 53327, 51187, 61159, 51536, 53901, 52395, 50840, 53481, 50854, 50652, 50349, 50833, 68337, 57446, 51392, 54694, 53625, 50806, 50430, 51924, 55214, 51493, 50942, 51536, 50839, 55704, 50942, 50652, 50349, 51008, 68337, 50827, 50717, 50284, 50887, 59887, 50840, 75194, 72090, 53481, 51123, 50437, 51924, 51189, 53625, 51343, 50438, 51355, 51464, 54200, 53239, 51493, 50822, 51536, 50820, 55704, 50822, 59887, 50862, 50717, 50284, 51420, 53966, 57868, 53880, 54276, 51216, 50955, 52395, 50839, 52331, 50955, 50652, 50349, 50910, 68337, 50897, 53481, 50833, 65828, 58029, 51139, 58014, 51334, 50849, 54512, 52863, 51098, 50955, 51355, 50867, 54117, 50955, 50717, 50287, 50808, 52380, 54523, 53784, 51044, 50839, 53202, 50805, 51262, 50834, 53760, 50805, 51390, 51167, 73871, 50808, 56478, 50833, 52833, 51173, 51783, 51353, 54161, 53852, 63059, 53784, 57987, 51334, 51605, 52380, 52536, 50422, 51262, 50810, 51510, 54499, 58423, 51355, 53935, 51536, 50841, 53481, 50833, 72570, 50833, 50652, 50349, 64154, 51130, 56999, 62581, 50800, 52394, 53911, 51150, 50812, 51355, 50841, 51915, 50812, 72570, 50810, 50652, 50349, 50942, 53481, 50874, 72711, 53442, 51262, 52348, 53618, 53041, 51150, 50942, 51355, 50839, 51915, 50942, 52394, 50855, 62581, 54047, 51139, 59596, 53880, 53938, 51216, 50810, 51536, 50834, 52331, 50810, 50652, 50349, 50942, 72570, 50822, 53481, 50886, 65828, 53984, 51130, 53268, 51140, 50851, 51262, 50829, 53760, 50851, 73871, 50800, 56478, 53197, 54617, 51239, 55971, 51924, 51158, 53625, 51167, 53458, 69154, 50839, 54117, 50917, 54512, 50854, 52123, 51243, 51555, 51151, 51902, 51151, 53804, 53784, 57829, 50717, 50287, 54681, 69924, 51390, 51941, 64789, 60683, 52833, 51941, 50422, 51780, 50836, 53327, 51041, 60955, 51630, 59761, 50652, 50351, 50812, 75958, 50844, 59150, 57629, 51068, 51139, 52667, 51098, 50925, 51780, 50887, 54117, 50925, 50652, 50351, 50925, 75958, 51008, 59150, 50810, 54512, 50840, 50717, 50287, 53474, 51041, 53219, 51250, 51750, 53852, 52616, 51098, 50808, 51780, 50836, 54117, 50808, 50717, 50287, 50858, 54512, 51373, 53966, 61925, 50652, 50351, 50897, 59150, 50942, 75958, 58332, 51216, 50942, 51630, 50834, 52331, 50942, 65828, 50800, 53880, 58107, 51392, 58014, 54727, 52863, 72942, 73376, 53180, 50830, 72845, 52589, 51406, 52572, 50846, 53788, 50938, 51536, 50839, 51915, 50938, 56633, 51030, 62581, 50858, 52394, 52972, 54499, 51179, 67444, 53784, 58235, 51536, 50835, 53327, 51239, 59094, 52395, 53901, 53145, 50818, 56633, 50911, 53481, 50362, 51597, 51139, 57334, 75958, 51998, 68337, 53379, 50432, 51098, 50917, 52395, 50841, 54117, 50917, 75958, 51269, 53481, 52101, 68337, 51123, 50717, 50287, 50890, 54512, 53887, 51044, 52565, 51536, 50835, 56633, 50923, 66951, 53239, 51098, 50854, 52395, 50813, 54117, 50854, 50717, 50287, 50800, 54512, 54806, 51239, 58321, 75958, 50810, 53481, 70941, 68337, 53567, 51150, 50854, 53145, 50834, 51915, 50854, 56633, 50911, 62581, 50809, 52394, 64154, 51041, 52738, 51668, 50897, 51536, 50839, 53180, 50897, 72845, 50813, 54727, 52784 ]

[ 0, 250, 239, 12, 18261, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 30587, 29589, 6, 21072, 6, 228, 438, 4781, 2088, 8, 3152, 16976, 6, 8, 10, 31391, 1672, 9590, 6, 70, 8216, 7, 63, 15352, 30054, 8, 14899, 16464, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 1769, 20889, 9, 17445, 13410, 228, 2289, 6, 42, 2214, 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 ]

[ 59626, 50796, 50796, 50796, 53975, 52149, 50796, 50796, 53997, 51241, 51026, 51542, 50432, 51085, 51644, 50299, 54137, 51085, 51734, 50299, 73324, 51085, 54509, 51085, 69324, 50873, 52591, 51085, 71115, 53387, 51026, 50844, 51085, 53913, 51085, 68589, 51918, 51085, 53562, 51085, 64823, 51923, 51085, 50845, 53997, 51351, 51026, 51351, 50432, 51085, 71115, 53264, 51085, 51734, 50299, 73324, 51085, 54509, 51085, 50805, 61795, 52591, 51085, 74682, 53387, 51026, 50844, 51085, 53913, 51085, 72136, 52815, 51085, 55125, 51085, 64823, 51923, 51085, 57353, 63357, 51234, 50859, 53997, 51241, 51026, 51542, 51085, 53601, 51206, 52716, 59939, 51544, 54854, 51085, 51644, 50299, 54137, 51085, 51734, 50299, 73324, 51085, 50905, 53884, 50456, 51085, 50805, 61795, 52591, 51085, 71115, 50845, 51544, 53695, 51026, 50844, 51085, 53913, 51085, 68589, 51918, 51085, 53562, 51085, 64823, 51370, 53875, 51085, 56649, 65315, 51234, 50859, 53997, 51351, 51026, 51351, 51085, 53174, 51206, 50386, 53692, 52716, 52282, 51544, 53695, 51085, 71115, 53264, 51085, 51734, 50299, 73324, 51085, 54265, 62267, 51234, 53820, 51085, 50805, 61795, 51085, 51054, 52591, 51234, 52370, 50292, 74682, 53172, 51214, 54065, 53695, 51026, 50844, 51085, 74389, 56810, 51234, 52370, 50292, 72136, 52815, 51214, 72676, 50901, 51848, 55256, 51234, 51936, 50292, 64823, 52108, 57701, 51324, 51442, 50292, 50901, 50799, 53165, 51689, 50292, 50851, 77383, 51085, 50893, 51340, 52526, 53662, 57711, 53165, 51689, 50292, 50851, 77383, 51085, 50845, 62632, 69754, 53165, 51689, 50292, 50854, 51026, 50854, 51085, 53417, 55714, 53308, 53165, 50833, 51085, 50827, 65113, 51085, 52839, 53574, 52364, 50855, 54614, 52530, 50292, 50827, 65113, 51085, 50879, 51340, 50990, 57138, 51085, 50827, 65113, 51085, 50892, 62632, 51737, 50450, 53165, 51588, 50292, 50854, 51026, 50854, 51085, 53417, 55714, 64848, 55348, 51127, 50456, 51085, 72046, 51458, 50292, 58532, 74726, 69020, 50983, 51001, 50983, 51340, 50990, 51737, 53997, 50879, 51340, 50990, 57711, 51085, 72046, 51519, 50292, 51124, 62632, 69754, 51085, 53417, 55714, 53308, 51214, 67795, 72046, 53021, 53574, 51234, 67795, 71942, 50873, 51340, 50990, 57138, 51214, 51936, 50292, 50892, 62632, 51737, 50450, 51234, 64325, 51458, 50302, 54068, 55714, 52955, 51324, 52370, 50292, 50892, 51340, 50990, 51737, 50799, 53853, 51581, 50292, 50874, 51026, 50874, 51085, 50893, 51340, 50990, 57711, 53853, 51731, 50292, 50874, 51026, 50874, 51085, 50845, 62632, 69754, 53853, 51731, 50292, 50808, 51026, 50808, 51085, 53734, 55714, 53308, 53853, 51731, 50292, 50874, 51026, 50874, 51085, 52839, 59693, 52868, 53813, 52901, 51095, 51085, 50874, 51026, 50874, 51085, 50893, 51340, 50990, 57138, 51085, 50874, 51026, 50874, 51085, 50845, 62632, 51737, 50450, 52868, 50809, 52901, 51605, 51085, 50808, 51026, 50808, 51085, 53734, 55714, 52955, 51085, 71115, 51458, 50292, 58532, 74726, 69020, 50983, 51001, 50983, 51340, 50990, 51737, 53997, 50893, 51340, 50990, 57711, 51085, 74682, 51519, 50292, 51124, 62632, 69754, 51085, 53417, 55714, 53308, 51214, 51442, 50292, 72046, 53021, 53574, 51234, 67795, 71942, 50873, 51340, 50990, 57138, 51214, 51442, 50292, 50892, 62632, 51737, 50450, 51234, 50805, 61795, 50997, 52201, 55714, 52955, 51324, 50805, 51085, 50892, 51340, 50990, 51737, 50799, 53165, 50808, 51085, 50827, 65113, 51085, 50806, 51340, 50990, 57711, 53165, 50808, 51085, 50827, 65113, 51085, 50901, 62632, 69754, 54614, 50805, 51085, 50812, 51026, 50812, 51085, 51575, 55714, 53308, 53165, 50808, 51085, 50827, 65113, 51085, 54042, 59693, 53408, 53813, 52842, 51116, 51085, 50827, 65113, 51085, 50806, 51340, 50990, 57138, 51085, 50827, 65113, 51085, 50901, 62632, 51737, 50450, 54614, 51358, 51085, 50808, 51026, 50808, 51085, 51575, 55714, 52955, 51085, 74682, 51458, 50292, 58532, 74726, 69020, 50983, 51001, 50983, 51340, 50990, 51737, 53997, 50806, 51340, 50990, 57711, 51085, 74682, 51519, 50292, 51124, 62632, 69754, 51085, 51575, 55714, 53308, 51214, 67795, 72046, 53021, 53574, 51234, 51519, 50292, 71942, 50873, 51340, 50990, 57138, 51214, 67795, 50892, 62632, 51737, 50450, 52277, 51111, 51234, 67899, 51458, 50302, 71162, 55714, 52955, 53853, 50805, 51324, 51936, 50292, 50892, 51340, 50990, 51737, 50461, 52789, 50840, 52868, 50840, 50799, 52901, 51346, 56462, 51346, 51085, 50827, 65113, 51085, 50806, 51340, 50990, 57711, 51085, 50827, 65113, 51085, 50901, 62632, 69754, 52868, 50840, 52789, 50840, 52901, 51095, 56462, 51095, 51085, 50808, 51026, 50808, 51085, 51575, 55714, 53308, 51085, 50827, 65113, 51085, 54042, 59693, 53408, 53813, 52842, 51519, 50292, 50827, 65113, 51085, 50806, 51340, 50990, 57138, 51085, 50827, 65113, 51085, 50901, 62632, 51737, 50446, 54614, 53259, 50450, 51085, 67027, 69259, 51575, 55714, 52955, 51085, 74682, 51458, 50292, 58532, 74726, 69020, 50983, 51001, 50983, 51340, 50990, 51737, 53997, 50806, 51340, 50990, 51022, 56978, 50812, 51085, 51514, 50292, 51124, 62632, 69754, 51085, 51575, 55714, 53308, 51214, 67795, 72046, 53021, 53574, 51234, 67795, 71942, 50873, 51340, 50990, 57138, 51214, 50805, 51085, 50892, 62632, 51737, 50450, 51234, 67860, 51458, 50302, 71162, 55714, 52955, 51324, 51936, 50292, 50892, 51340, 50990, 51737, 61504, 51442, 50295, 51490, 51026, 51490, 50997, 51490, 51001, 51145, 50951, 51145, 51081, 51145, 50852, 75454, 65234, 55146, 57711, 52046, 54762, 52784, 51737, 50425, 52789, 53855, 56462, 51157, 52046, 56285, 55714, 53308, 52046, 56285, 53574, 55334, 50846, 52789, 50805, 51247, 52370, 50297, 51490, 51027, 51490, 50900, 51490, 50931, 51127, 50999, 51127, 50876, 52821, 50852, 53351, 57138, 52901, 50808, 51247, 54762, 52784, 51737, 50450, 53853, 51157, 51247, 54762, 55714, 52955, 51247, 54762, 53351, 51737, 50461, 52868, 50846, 50799, 52901, 51095, 51085, 50984, 79083, 51085, 70354, 52503, 50951, 51293, 50852, 53351, 57711, 51085, 50984, 79083, 51085, 56285, 52784, 69754, 53853, 50808, 51085, 50812, 51026, 50812, 51085, 56285, 55714, 53308, 51085, 50984, 79083, 51085, 56285, 59890, 53853, 52446, 51085, 50984, 79083, 51085, 56285, 53351, 57138, 52868, 51731, 50292, 50984, 79083, 51085, 56285, 52784, 51737, 50445, 52901, 64712, 51085, 50808, 51026, 50808, 51085, 56285, 55714, 52955, 51085, 50984, 79083, 51085, 56285, 53351, 51737, 55881, 51936, 50295, 51703, 51026, 51703, 50997, 51703, 51001, 51047, 50951, 51047, 51081, 51047, 50852, 50380, 53692, 55146, 57711, 51197, 56285, 52784, 69754, 53853, 50808, 51197, 56285, 55714, 53308, 53853, 50808, 51197, 56285, 59693, 54383, 53442, 52350, 51157, 51247, 51442, 50297, 51703, 51027, 51703, 50900, 51703, 50931, 51183, 50999, 51183, 50876, 53454, 50852, 53351, 57138, 51247, 54762, 52784, 51737, 50450, 52350, 52014, 50285, 54762, 55714, 52955, 52277, 50808, 51247, 54762, 53351, 51737, 50799, 52350, 50808, 51085, 50984, 79083, 51085, 70354, 52503, 50951, 51359, 50852, 53351, 57711, 52277, 51095, 51085, 50984, 79083, 51085, 54762, 52784, 69754, 51085, 50812, 51026, 50812, 51085, 54762, 55714, 53308, 53408, 50846, 51085, 50984, 79083, 51085, 54762, 62089, 52277, 51538, 62275, 50984, 79083, 51085, 54762, 53351, 57138, 51085, 50984, 79083, 51214, 56895, 52784, 51737, 50450, 51085, 50808, 51026, 50808, 51234, 54762 ]

[ 0, 250, 15855, 19834, 2125, 14, 115, 28, 341, 11, 41, 28339, 822, 6, 42, 8787, 15229, 16, 278, 11, 272, 3694, 19, 10, 7212, 132, 73, 306, 20889, 4, 85, 1575, 10, 4066, 30062, 620, 7085, 24943, 217, 26432, 636, 3938, 22052, 6, 10, 6755, 12547, 6, 326, 5638, 34394, 6, 20125, 2580, 6, 8, 1515, 24496, 6, 2351, 41, 9066, 8, 5386, 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 ]

[ 69781, 51038, 51057, 54610, 59771, 54708, 50971, 56343, 50971, 52876, 50904, 54108, 50867, 52278, 50904, 52695, 53383, 54708, 50822, 56343, 50844, 52876, 50854, 54108, 50905, 52278, 51328, 52695, 71895, 57853, 50813, 55008, 50822, 51057, 54610, 62714, 54708, 50941, 56343, 50941, 52876, 50864, 54108, 50864, 52278, 50941, 52695, 53383, 54708, 50857, 56343, 50813, 52876, 50862, 54108, 50892, 52278, 51328, 52695, 71895, 57853, 50822, 55008, 50959, 51057, 56577, 50866, 55308, 51047, 50417, 52635, 54964, 54841, 50941, 56531, 50864, 53410, 50864, 53062, 50933, 51209, 52722, 51579, 50867, 51431, 53868, 54343, 52921, 56577, 50845, 55954, 59910, 54343, 53193, 53410, 50867, 54841, 50825, 56531, 50835, 53062, 51210, 51431, 50864, 51579, 56030, 52635, 51210, 51057, 57853, 50866, 58013, 51242, 56117, 51535, 50420, 54841, 50864, 56511, 50886, 61405, 50864, 51209, 52722, 51686, 50825, 52298, 50867, 51579, 50867, 53039, 65643, 51565, 55470, 51686, 53906, 57853, 50955, 52156, 56274, 51673, 53513, 54841, 50886, 56511, 50867, 61405, 50867, 51886, 50822, 52298, 50867, 51579, 50867, 52697, 50857, 51057, 54610, 55085, 54708, 50971, 56343, 50941, 52876, 50904, 51209, 52722, 54108, 50886, 52278, 50941, 52695, 50867, 53472, 53383, 56343, 50813, 54708, 50857, 52876, 50862, 54108, 50901, 52278, 51242, 52695, 51480, 52650, 52417, 57853, 50810, 55008, 50874, 51057, 54610, 60872, 56343, 50870, 52876, 50837, 54708, 50908, 54108, 50825, 52278, 50908, 52695, 53383, 54708, 50813, 56343, 50862, 52876, 50862, 54108, 50845, 52278, 51277, 52695, 51363, 50429, 51209, 52722, 50432, 57853, 50857, 55008, 51058, 51057, 56577, 50878, 55308, 51047, 50417, 52635, 61378, 54841, 50904, 56531, 50886, 53410, 50867, 53062, 50933, 51431, 50874, 51579, 56133, 54343, 52921, 57853, 50942, 55954, 50955, 50429, 54343, 52658, 54841, 50886, 56531, 50886, 53410, 50857, 53062, 50959, 51431, 50886, 51579, 56579, 52635, 51365, 51057, 56577, 50925, 58013, 51423, 56117, 51448, 50420, 54841, 50864, 56511, 50867, 61405, 50886, 51209, 52722, 51686, 50825, 52298, 50813, 51579, 62846, 51565, 55470, 51686, 53906, 57853, 50833, 52156, 56274, 51673, 53513, 54841, 50835, 56511, 50834, 61405, 50829, 51886, 50822, 52298, 50862, 51579, 50813, 51057, 54610, 60872, 54708, 50891, 56343, 50863, 52876, 50870, 54108, 50886, 52278, 50941, 52695, 53383, 54708, 50813, 56343, 50841, 52876, 50855, 54108, 50892, 52278, 51328, 52695, 51412, 50432, 57853, 50833, 51209, 52722, 55008, 50933, 51057, 54610, 60872, 56343, 50837, 52876, 50867, 54708, 50870, 54108, 50813, 52278, 50864, 52695, 53383, 56343, 50862, 52876, 50855, 54708, 50867, 54108, 50892, 52278, 51242, 52695, 71895, 57853, 50810, 55008, 50822, 51057, 56577, 50942, 55308, 51047, 50417, 55954, 70997, 54841, 50904, 56531, 50825, 53410, 50864, 54343, 50959, 51209, 52722, 51431, 50867, 51579, 54347, 53062, 53450, 56577, 50942, 52635, 51008, 50429, 53062, 52739, 54841, 50835, 56531, 50835, 53410, 50834, 54343, 51008, 51579, 50813, 51431, 56579, 55954, 50844, 51057, 57853, 50878, 58013, 51328, 56117, 51448, 50420, 56511, 50867, 54841, 50864, 61405, 50825, 51686, 50837, 52298, 50813, 51579, 50857, 53039, 60392, 51565, 56037, 51686, 53450, 57853, 50942, 52156, 56274, 51673, 52658, 54841, 50835, 56511, 50834, 61405, 50829, 51886, 50813, 52298, 50862, 51579, 50813, 52697, 50862, 51057, 54610, 62714, 54708, 50891, 56343, 50971, 52876, 50837, 54108, 50867, 52278, 50863, 52695, 50857, 53472, 53935, 54708, 50829, 56343, 50855, 52876, 50855, 51209, 51819, 54108, 50845, 52278, 51328, 52695, 51203, 52650, 53063, 57853, 50854, 51209, 51819, 55008, 50874, 51057, 54610, 50942, 51209, 52254, 50420, 54708, 50891, 56343, 50837, 52876, 50886, 54108, 50813, 52695, 53383, 54708, 50813, 56343, 50862, 52876, 50862, 51209, 52254, 54108, 50845, 52278, 51277, 52695, 51411, 50432, 57853, 50854, 55008, 50822, 51057, 56577, 50878, 55308, 51047, 50417, 55954, 61062, 54841, 50904, 56531, 50886, 53410, 50886, 54343, 50955, 51431, 50822, 51579, 55266, 53062, 53450, 57853, 50854, 52635, 51210, 50429, 53062, 61957, 54841, 50825, 56531, 50829, 53410, 50834, 54343, 50827, 51431, 50867, 51579, 54112, 55954, 50955, 51057, 56577, 50942, 58013, 51312, 56117, 78377, 54841, 50886, 56511, 50834, 61405, 50835, 51686, 50886, 52298, 50867, 51579, 59993, 51565, 55754, 51686, 53450, 57853, 50833, 52156, 55730, 51673, 52658, 54841, 50864, 56511, 50867, 61405, 50886, 51886, 50844, 52298, 50855, 51579, 50862, 51057, 54610, 50925, 50418, 50629, 50420, 56343, 50835, 54708, 50825, 52876, 50825, 53326, 50864, 51830, 50865, 54108, 50886, 52278, 50864, 52695, 54870, 52966, 54708, 50822, 56343, 50854, 52876, 50844, 53326, 51337, 52635, 51058, 52812, 51030, 54108, 51212, 52278, 51328, 52695, 51177, 50832, 58734, 50629, 50432, 57853, 50812, 52860, 50912, 51830, 50806, 55008, 50874, 51057, 54610, 50859, 51322, 56763, 50630, 54708, 50904, 56343, 50904, 52876, 50864, 53326, 50941, 51451, 50830, 54108, 50904, 52278, 50941, 52695, 54870, 52976, 54708, 50810, 56343, 50836, 52876, 50810, 53326, 51337, 52635, 50838, 54108, 50905, 52278, 50838, 52695, 51177, 50832, 58245, 52812, 57356, 57853, 50810, 52860, 50874, 55008, 62886, 79659, 51057, 54610, 50808, 51322, 62340, 54708, 50886, 56343, 50867, 52876, 50867, 53326, 50971, 51451, 50952, 54108, 50886, 52278, 50904, 52695, 54870, 53098, 57853, 50812, 54708, 50844, 56343, 50813, 52876, 50844, 53326, 51337, 52635, 51058, 54108, 51212, 52278, 50972, 52695, 58214, 58245, 52812, 56504, 52860, 50874, 51830, 50897, 55008, 50933, 51057, 57853, 67972, 53008, 51204, 50419, 50629, 50420, 54708, 50857, 56343, 50862, 52876, 50867, 53326, 51142, 51565, 50874, 52278, 55785, 53899, 52979, 50933, 51686, 50874, 52355, 53220, 57853, 50897, 53210, 51008, 52156, 50810, 52824, 56739, 52860, 50878, 51673, 50810, 51784, 54221, 61405, 50844, 54708, 50867, 52876, 50886, 52635, 50822, 51886, 50854, 51900, 55083, 50829, 51057, 54610, 53932, 54708, 50825, 56343, 50886, 52876, 50825, 53326, 50971, 51830, 50865, 54108, 50837, 52278, 50904, 52695, 51909, 52872, 54708, 50813, 56343, 50836, 52876, 50810, 53326, 51203, 52635, 50974, 52812, 50948, 54108, 50905, 52278, 50974, 52695, 51121, 50832, 53196, 57853, 50862, 52860, 50827, 51830, 50893, 55008, 50851, 51057, 54610, 50800, 51322, 62340, 54708, 50864, 56343, 50904, 52876, 50886, 53326, 50904, 51451, 50800, 54108, 50864, 52278, 50904, 52695, 54870, 52872, 54708, 50867, 56343, 50813, 52876, 50813, 53326, 51337, 52635, 51277, 52812, 50937, 54108, 51242, 52278, 50838, 52695, 51177, 50832, 52953, 57853, 50810, 52860, 50874, 51830, 50917, 55008, 50827, 51057, 54610, 50833, 51322, 56179, 54708, 50867, 56343, 50857, 52876, 50857, 57256, 50955, 53326, 50827, 52860, 51269, 51451, 50830, 54108, 50886, 52278, 50827, 52695, 53225, 52670, 57853, 62209, 51912, 57356, 56343, 50813, 54708, 50829, 52876, 50867, 57256, 50959, 53326, 50874, 52860, 50827, 54108, 50822, 52278, 50874, 52695, 54748, 57107, 51451, 50830, 51057, 54610, 62833, 51209, 51661, 50420, 53410, 50867, 54764, 50886, 52876, 50867, 54469, 51058, 53326, 50933, 52860, 51058, 51673, 50874, 55008, 54090, 54316, 51886, 50822, 54108, 54325, 54610, 50808, 52433, 50844, 54246, 56739, 52171, 50874, 52714, 54150, 56631, 50813, 54764 ]

[ 0, 250, 20902, 3495, 3152, 2214, 14, 7630, 6568, 6453, 9, 11098, 8, 10563, 6, 1969, 13, 5, 1619, 191, 50, 2365, 1061, 4, 590, 10, 1769, 20889, 9, 20598, 163, 5683, 11, 204, 73, 306, 86, 6, 5, 33301, 16, 2584, 30, 33704, 5675, 22052, 8, 13305, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 31391, 1672, 9590, 6, 21072, 6, 8, 5627, 16776, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 5, 2214, 1575, 10, 2007, 648, 2375, 33215, 16739, 9, 83, 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 ]

[ 56236, 52013, 54869, 52013, 54498, 52013, 54980, 52013, 56109, 50852, 50857, 50799, 51715, 50990, 50925, 51039, 50844, 51694, 51370, 50892, 51974, 52873, 50844, 51570, 50892, 51180, 53948, 50925, 51899, 51370, 50892, 51453, 53948, 50873, 50799, 51715, 50966, 50925, 51039, 50844, 51544, 55182, 50865, 57376, 50827, 51361, 53948, 50873, 51570, 50844, 51180, 50844, 57376, 50827, 52320, 60077, 51349, 51277, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 51309, 50798, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 50932, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 51006, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 50838, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 53783, 51684, 79202, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 50838, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 62285, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 51172, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 50838, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 51006, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 53783, 51684, 71730, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 50838, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 73783, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 51484, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 50838, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 50827, 51361, 53948, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 50433, 51684, 50838, 51570, 53783, 51684, 61578, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 51309, 50798, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 50932, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 51006, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 51309, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 53783, 51684, 61578, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 51309, 50798, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 50932, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 51006, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 51309, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 53783, 51684, 61578, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 54468, 51283, 51715, 50990, 50925, 63276, 51364, 58185, 51364, 62059, 51364, 51039, 50844, 51694, 51370, 54100, 51349, 67275, 52873, 50844, 63276, 51896, 63910, 51896, 62059, 51896, 51570, 55200, 51349, 50932, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 50838, 51715, 50966, 50873, 54468, 51283, 51715, 50966, 50925, 63276, 51364, 70969, 51364, 58185, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51349, 51283, 51715, 50966, 50873, 63276, 51896, 63910, 51896, 62059, 51896, 51570, 53783, 51349, 51277, 50791, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 57958, 51283, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 73783, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 51484, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 50838, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 50827, 51361, 53948, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 50433, 51684, 50838, 51570, 53783, 51684, 61578, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 51309, 50798, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 50932, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 51006, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 51309, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 53783, 51684, 61578, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 57958, 51381, 51715, 50990, 50925, 58185, 51364, 62514, 51364, 55846, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 51309, 50798, 52873, 50844, 58185, 51896, 62059, 51896, 55846, 51896, 51570, 55200, 51684, 50932, 51715, 50966, 50925, 51899, 51370, 54771, 51349, 51006, 51715, 50966, 50873, 57958, 51381, 51715, 50966, 50925, 58185, 51364, 56825, 51364, 55846, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 51309, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 53783, 51684, 61578, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 50799, 51715, 50990, 50925, 63276, 51364, 58185, 51364, 62059, 51364, 50416, 51349, 50932, 51039, 50844, 51694, 51370, 54100, 51349, 53656, 52873, 50844, 63276, 51896, 63910, 51896, 62059, 51896, 51570, 50892, 50443, 51349, 51172, 51180, 53948, 50925, 51899, 51370, 54771, 51349, 50864, 51715, 50966, 50873, 54468, 50932, 51715, 50966, 50925, 63276, 51364, 70969, 51364, 58185, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51349, 50838, 51715, 50966, 50873, 63276, 51896, 63910, 51896, 62059, 51896, 51570, 53783, 51349, 51277, 50791, 50844, 57376, 50827, 51899, 51049, 60077, 51349, 51006, 76381, 50844, 59373, 51283, 51715, 50990, 50925, 70969, 51364, 58185, 51364, 62514, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 67275, 52873, 50844, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 50892, 51180, 54004, 52474, 55974, 51370, 54771, 54423, 50838, 51715, 50966, 50873, 51094, 50299, 51283, 51715, 50966, 50925, 56825, 51364, 59522, 51364, 56591, 51364, 51039, 50844, 51544, 55182, 50865, 57376, 52739, 51684, 51680, 51715, 50966, 50873, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 50844, 51180, 50844, 57376, 50827, 51899, 51049, 60077, 76381, 50844, 59373, 51283, 51715, 50990, 50925, 70969, 51364, 58185, 51364, 62514, 51364, 51039, 50844, 51694, 51370, 54100, 51684, 67275, 52873, 50844, 58185, 51896, 62514, 51896, 55846, 51896, 51570, 50892, 51180, 54004, 52474, 55974 ]